0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : tptp2X_and_run_prover9 %d %s 0.03/0.23 % Computer : n119.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 06:59:26 CDT 2018 0.03/0.23 % CPUTime : 25.49/24.99 ============================== Prover9 =============================== 25.49/24.99 Prover9 (32) version 2009-11A, November 2009. 25.49/24.99 Process 63771 was started by sandbox2 on n119.star.cs.uiowa.edu, 25.49/24.99 Sat Jul 14 06:59:48 2018 25.49/24.99 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_63599_n119.star.cs.uiowa.edu". 25.49/24.99 ============================== end of head =========================== 25.49/24.99 25.49/24.99 ============================== INPUT ================================= 25.49/24.99 25.49/24.99 % Reading from file /tmp/Prover9_63599_n119.star.cs.uiowa.edu 25.49/24.99 25.49/24.99 set(prolog_style_variables). 25.49/24.99 set(auto2). 25.49/24.99 % set(auto2) -> set(auto). 25.49/24.99 % set(auto) -> set(auto_inference). 25.49/24.99 % set(auto) -> set(auto_setup). 25.49/24.99 % set(auto_setup) -> set(predicate_elim). 25.49/24.99 % set(auto_setup) -> assign(eq_defs, unfold). 25.49/24.99 % set(auto) -> set(auto_limits). 25.49/24.99 % set(auto_limits) -> assign(max_weight, "100.000"). 25.49/24.99 % set(auto_limits) -> assign(sos_limit, 20000). 25.49/24.99 % set(auto) -> set(auto_denials). 25.49/24.99 % set(auto) -> set(auto_process). 25.49/24.99 % set(auto2) -> assign(new_constants, 1). 25.49/24.99 % set(auto2) -> assign(fold_denial_max, 3). 25.49/24.99 % set(auto2) -> assign(max_weight, "200.000"). 25.49/24.99 % set(auto2) -> assign(max_hours, 1). 25.49/24.99 % assign(max_hours, 1) -> assign(max_seconds, 3600). 25.49/24.99 % set(auto2) -> assign(max_seconds, 0). 25.49/24.99 % set(auto2) -> assign(max_minutes, 5). 25.49/24.99 % assign(max_minutes, 5) -> assign(max_seconds, 300). 25.49/24.99 % set(auto2) -> set(sort_initial_sos). 25.49/24.99 % set(auto2) -> assign(sos_limit, -1). 25.49/24.99 % set(auto2) -> assign(lrs_ticks, 3000). 25.49/24.99 % set(auto2) -> assign(max_megs, 400). 25.49/24.99 % set(auto2) -> assign(stats, some). 25.49/24.99 % set(auto2) -> clear(echo_input). 25.49/24.99 % set(auto2) -> set(quiet). 25.49/24.99 % set(auto2) -> clear(print_initial_clauses). 25.49/24.99 % set(auto2) -> clear(print_given). 25.49/24.99 assign(lrs_ticks,-1). 25.49/24.99 assign(sos_limit,10000). 25.49/24.99 assign(order,kbo). 25.49/24.99 set(lex_order_vars). 25.49/24.99 clear(print_given). 25.49/24.99 25.49/24.99 % formulas(sos). % not echoed (14042 formulas) 25.49/24.99 25.49/24.99 ============================== end of input ========================== 25.49/24.99 25.49/24.99 % From the command line: assign(max_seconds, 300). 25.49/24.99 25.49/24.99 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 25.49/24.99 25.49/24.99 % Formulas that are not ordinary clauses: 25.49/24.99 1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 2 $T # label(t5_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 3 $T # label(t8_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 4 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 5 (all A all B k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A))) # label(d5_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 6 (all A all B all C (p1_s1_tarski(A,B) & p1_s1_tarski(A,C) -> B = C)) -> (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]. 25.49/24.99 7 $T # label(t1_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 8 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 9 (all A exists B (r2_hidden(A,B) & (all C all D (r2_hidden(C,B) & r1_tarski(D,C) -> r2_hidden(D,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))))) # label(t9_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 10 $T # label(t3_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 11 (all A all B (k3_tarski(A) = B <-> (all C (r2_hidden(C,B) <-> (exists D (r2_hidden(D,A) & r2_hidden(C,D))))))) # label(d4_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 12 $T # label(t6_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 13 $T # label(dt_k3_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 14 (all A all B all C ((all D (r2_hidden(D,C) <-> B = D | A = D)) <-> C = k2_tarski(A,B))) # label(d2_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 15 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 16 (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]. 25.49/24.99 17 (all A all B k2_tarski(B,A) = k2_tarski(A,B)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 18 (all A all B (r2_tarski(A,B) <-> (exists C ((all D -((all E -(r2_hidden(k4_tarski(E,D),C) & r2_hidden(E,A))) & r2_hidden(D,B))) & (all D all E all F all G (r2_hidden(k4_tarski(D,E),C) & r2_hidden(k4_tarski(F,G),C) -> (F = D <-> E = G))) & (all D -((all E -(r2_hidden(k4_tarski(D,E),C) & r2_hidden(E,B))) & r2_hidden(D,A))))))) # label(d6_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 19 (all A all B (B = k1_tarski(A) <-> (all C (r2_hidden(C,B) <-> C = A)))) # label(d1_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 20 (all A all B -(r2_hidden(A,B) & (all C -(r2_hidden(C,B) & (all D -(r2_hidden(D,B) & r2_hidden(D,C))))))) # label(t7_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 21 $T # label(t4_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 22 (all A all B ((all C (r2_hidden(C,A) <-> r2_hidden(C,B))) -> B = A)) # label(t2_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 23 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 24 (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]. 25.49/24.99 25 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 26 (all A all B all C -(-(-r2_hidden(C,B) & r2_hidden(C,A)) & -(-r2_hidden(C,A) & r2_hidden(C,B)) & r2_hidden(C,k2_xboole_0(A,B)) & r1_xboole_0(A,B))) # label(t5_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 27 (all A all B k2_xboole_0(B,A) = k2_xboole_0(A,B)) # label(commutativity_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 28 (all A all B A = k2_xboole_0(A,A)) # label(idempotence_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 29 (all A all B r3_xboole_0(A,A)) # label(reflexivity_r3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 30 $T # label(dt_k2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 31 (all A all B k3_xboole_0(A,B) = k3_xboole_0(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 32 (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]. 25.49/24.99 33 (all A all B all C (-(r2_hidden(A,B) <-> r2_hidden(A,C)) <-> r2_hidden(A,k5_xboole_0(B,C)))) # label(t1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 34 $T # label(dt_k4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 35 (all A all B (B = A <-> r1_tarski(A,B) & r1_tarski(B,A))) # label(d10_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 36 (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]. 25.49/24.99 37 (all A all B ((all C (r2_hidden(C,A) <-> p1_s3_xboole_0(C))) & (all C (r2_hidden(C,B) <-> p1_s3_xboole_0(C))) -> B = A)) # label(s3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 38 (all A all B (-((all C -r2_hidden(C,k3_xboole_0(A,B))) & -r1_xboole_0(A,B)) & -((exists C r2_hidden(C,k3_xboole_0(A,B))) & r1_xboole_0(A,B)))) # label(t4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 39 (all A all B all C ((all D (-r2_hidden(D,A) <-> (r2_hidden(D,B) <-> r2_hidden(D,C)))) -> A = k5_xboole_0(B,C))) # label(t2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 40 (all A all B (r3_xboole_0(A,B) <-> r1_tarski(A,B) | r1_tarski(B,A))) # label(d9_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 41 (all A all B all C (k3_xboole_0(A,B) = C <-> (all D (r2_hidden(D,B) & r2_hidden(D,A) <-> r2_hidden(D,C))))) # label(d3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 42 (all A all B k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A)) = k5_xboole_0(A,B)) # label(d6_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 43 (all A all B -r2_xboole_0(A,A)) # label(irreflexivity_r2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 44 (all A all B (r2_xboole_0(A,B) <-> B != A & r1_tarski(A,B))) # label(d8_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 45 (all A all B all C ((all D (r2_hidden(D,C) <-> -r2_hidden(D,B) & r2_hidden(D,A))) <-> C = k4_xboole_0(A,B))) # label(d4_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 46 $T # label(dt_k5_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 47 (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]. 25.49/24.99 48 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 49 (all A all B A = k3_xboole_0(A,A)) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 50 (all A all B (-((exists C (r2_hidden(C,B) & r2_hidden(C,A))) & r1_xboole_0(A,B)) & -(-r1_xboole_0(A,B) & (all C -(r2_hidden(C,A) & r2_hidden(C,B)))))) # label(t3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 51 (all A all B all C ((all D (r2_hidden(D,B) | r2_hidden(D,A) <-> r2_hidden(D,C))) <-> k2_xboole_0(A,B) = C)) # label(d2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 52 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 53 (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]. 25.49/24.99 54 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 55 (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]. 25.49/24.99 56 (all A (k1_xboole_0 = A <-> (all B -r2_hidden(B,A)))) # label(d1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 57 (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]. 25.49/24.99 58 (all A (v1_xboole_0(A) <-> k1_xboole_0 = A)) # label(d5_xboole_0) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 59 (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]. 25.49/24.99 60 (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]. 25.49/24.99 61 (all A k2_xboole_0(A,k1_xboole_0) = A) # label(t1_boole) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 62 (all A all B -(v1_xboole_0(A) & v1_xboole_0(B) & A != B)) # label(t8_boole) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 63 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 64 (all A k1_xboole_0 = k4_xboole_0(k1_xboole_0,A)) # label(t4_boole) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 65 (all A k4_xboole_0(A,k1_xboole_0) = A) # label(t3_boole) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 66 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 67 (all A k1_xboole_0 = k3_xboole_0(A,k1_xboole_0)) # label(t2_boole) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 68 (all A A = k5_xboole_0(A,k1_xboole_0)) # label(t5_boole) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 69 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k4_xboole_0(C,B),k4_xboole_0(C,A)))) # label(t34_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 70 (all A all B all C (r1_tarski(k2_xboole_0(A,B),C) -> r1_tarski(A,C))) # label(t11_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 71 (all A all B r1_xboole_0(k3_xboole_0(A,B),k4_xboole_0(A,B))) # label(t89_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 72 (all A all B all C (r1_tarski(A,B) -> r1_xboole_0(A,k4_xboole_0(C,B)))) # label(t85_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 73 (all A all B all C (r1_tarski(k4_xboole_0(A,B),C) & r1_tarski(k4_xboole_0(B,A),C) -> r1_tarski(k5_xboole_0(A,B),C))) # label(t97_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 74 (all A -r2_xboole_0(A,k1_xboole_0)) # label(t62_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 75 (all A all B all C (r2_xboole_0(A,B) & r1_tarski(B,C) -> r2_xboole_0(A,C))) # label(t58_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 76 (all A all B all C k3_xboole_0(k2_xboole_0(A,B),k2_xboole_0(A,C)) = k2_xboole_0(A,k3_xboole_0(B,C))) # label(t24_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 77 (all A all B all C k2_xboole_0(k4_xboole_0(A,k2_xboole_0(B,C)),k3_xboole_0(k3_xboole_0(A,B),C)) = k4_xboole_0(A,k5_xboole_0(B,C))) # label(t102_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 78 (all A all B (-v1_xboole_0(B) -> -(r1_tarski(B,A) & r1_xboole_0(B,A)))) # label(t69_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 79 (all A all B k4_xboole_0(A,B) = k5_xboole_0(A,k3_xboole_0(A,B))) # label(t100_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 80 (all A all B r1_tarski(k4_xboole_0(A,B),k5_xboole_0(A,B))) # label(t96_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 81 (all A all B all C (r1_tarski(A,B) -> r1_tarski(A,k2_xboole_0(C,B)))) # label(t10_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 82 (all A all B all C k4_xboole_0(k2_xboole_0(A,B),C) = k2_xboole_0(k4_xboole_0(A,C),k4_xboole_0(B,C))) # label(t42_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 83 (all A all B all C k3_xboole_0(k4_xboole_0(A,B),k4_xboole_0(A,C)) = k4_xboole_0(A,k2_xboole_0(B,C))) # label(t53_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 84 (all A all B (r1_tarski(A,k4_xboole_0(B,A)) -> k1_xboole_0 = A)) # label(t38_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 85 (all A all B all C (r1_tarski(A,B) & r1_tarski(A,C) -> r1_tarski(A,k3_xboole_0(B,C)))) # label(t19_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 86 (all A all B all C -(r1_tarski(A,C) & r1_xboole_0(A,k3_xboole_0(B,C)) & -r1_xboole_0(A,B))) # label(t77_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 87 (all A all B all C all D (r1_xboole_0(C,D) & r1_xboole_0(B,D) & r1_xboole_0(A,D) -> r1_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D))) # label(t114_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 88 (all A all B all C k3_xboole_0(A,k4_xboole_0(B,C)) = k4_xboole_0(k3_xboole_0(A,B),C)) # label(t49_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 89 (all A all B all C k3_xboole_0(A,k2_xboole_0(B,C)) = k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C))) # label(t23_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 90 (all A all B all C (r1_xboole_0(A,k4_xboole_0(B,C)) -> r1_xboole_0(B,k4_xboole_0(A,C)))) # label(t81_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 91 (all A all B all C all D (r1_xboole_0(C,A) & r1_xboole_0(D,B) & k2_xboole_0(A,B) = k2_xboole_0(C,D) -> B = C)) # label(t72_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 92 (all A all B k2_xboole_0(k3_xboole_0(A,B),k4_xboole_0(A,B)) = A) # label(t51_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 93 (all A all B all C (r1_tarski(C,B) & r1_tarski(A,B) -> r1_tarski(k5_xboole_0(A,C),B))) # label(t110_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 94 (all A all B all C (r1_xboole_0(A,B) -> r1_xboole_0(A,k4_xboole_0(B,C)))) # label(t80_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 95 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k3_xboole_0(A,C),k3_xboole_0(B,C)))) # label(t26_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 96 (all A all B all C (r1_tarski(A,B) -> k3_xboole_0(k2_xboole_0(A,C),B) = k2_xboole_0(A,k3_xboole_0(C,B)))) # label(t30_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 97 (all A all B k4_xboole_0(A,k2_xboole_0(A,B)) = k1_xboole_0) # label(t46_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 98 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k2_xboole_0(A,C),k2_xboole_0(B,C)))) # label(t9_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 99 (all A all B all C (r1_xboole_0(A,B) -> k4_xboole_0(k2_xboole_0(C,B),A) = k2_xboole_0(k4_xboole_0(C,A),B))) # label(t87_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 100 (all A all B all C all D (r1_tarski(A,B) & r1_tarski(C,D) -> r1_tarski(k4_xboole_0(A,D),k4_xboole_0(B,C)))) # label(t35_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 101 (all A all B all C k5_xboole_0(k3_xboole_0(A,B),k3_xboole_0(C,B)) = k3_xboole_0(k5_xboole_0(A,C),B)) # label(t112_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 102 (all A all B all C k3_xboole_0(k4_xboole_0(A,C),B) = k4_xboole_0(k3_xboole_0(A,B),k3_xboole_0(C,B))) # label(t111_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 103 (all A all B k5_xboole_0(k5_xboole_0(A,B),k3_xboole_0(A,B)) = k2_xboole_0(A,B)) # label(t94_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 104 (all A all B k2_xboole_0(A,k3_xboole_0(A,B)) = A) # label(t22_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 105 (all A all B all C (r1_xboole_0(B,C) & r1_tarski(A,B) -> r1_xboole_0(A,C))) # label(t63_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 106 (all A all B all C k4_xboole_0(k5_xboole_0(A,B),C) = k2_xboole_0(k4_xboole_0(A,k2_xboole_0(B,C)),k4_xboole_0(B,k2_xboole_0(A,C)))) # label(t99_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 107 (all A all B all C (r1_tarski(A,k2_xboole_0(B,C)) & r1_xboole_0(A,C) -> r1_tarski(A,B))) # label(t73_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 108 (all A all B (k1_xboole_0 = k4_xboole_0(A,B) <-> r1_tarski(A,B))) # label(t37_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 109 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k4_xboole_0(A,C),B))) # label(t109_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 110 (all A r1_xboole_0(A,k1_xboole_0)) # label(t65_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 111 (all A all B r1_tarski(A,k2_xboole_0(A,B))) # label(t7_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 112 (all A all B all C -(-r1_xboole_0(A,B) & r1_xboole_0(A,k4_xboole_0(B,C)) & r1_xboole_0(A,C))) # label(t84_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 113 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k4_xboole_0(A,C),k4_xboole_0(B,C)))) # label(t33_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 114 (all A all B (r1_xboole_0(A,B) -> A = k4_xboole_0(k2_xboole_0(A,B),B))) # label(t88_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 115 (all A all B k4_xboole_0(k2_xboole_0(A,B),B) = k4_xboole_0(A,B)) # label(t40_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 116 (all A all B (r1_xboole_0(A,B) <-> A = k4_xboole_0(A,B))) # label(t83_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 117 (all A all B all C (-v1_xboole_0(C) -> -(r1_tarski(C,B) & r1_xboole_0(A,B) & r1_tarski(C,A)))) # label(t68_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 118 (all A all B all C all D (r1_tarski(C,D) & r1_tarski(A,B) -> r1_tarski(k2_xboole_0(A,C),k2_xboole_0(B,D)))) # label(t13_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 119 (all A all B all C (r1_tarski(A,B) & (all D (r1_tarski(A,D) & r1_tarski(C,D) -> r1_tarski(B,D))) & r1_tarski(C,B) -> k2_xboole_0(A,C) = B)) # label(t14_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 120 (all A all B all C k5_xboole_0(k5_xboole_0(A,B),C) = k5_xboole_0(A,k5_xboole_0(B,C))) # label(t91_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 121 (all A all B all C all D (r1_tarski(A,B) & r1_tarski(C,D) & r1_xboole_0(B,D) -> r1_xboole_0(A,C))) # label(t64_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 122 (all A all B k4_xboole_0(k2_xboole_0(A,B),k3_xboole_0(A,B)) = k5_xboole_0(A,B)) # label(t101_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 123 (all A all B k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A)) = k4_xboole_0(k2_xboole_0(A,B),k3_xboole_0(A,B))) # label(t55_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 124 (all A all B r1_xboole_0(k4_xboole_0(A,k3_xboole_0(A,B)),B)) # label(t90_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 125 (all A all B r1_tarski(k4_xboole_0(A,B),A)) # label(t36_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 126 (all A r1_tarski(k1_xboole_0,A)) # label(t2_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 127 (all A all B all C k2_xboole_0(k2_xboole_0(A,C),k2_xboole_0(B,C)) = k2_xboole_0(k2_xboole_0(A,B),C)) # label(t5_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 128 (all A all B all C -(r1_xboole_0(A,B) & -r1_xboole_0(A,k3_xboole_0(B,C)))) # label(t74_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 129 (all A all B all C (r1_tarski(A,B) & r1_xboole_0(A,C) -> r1_tarski(A,k4_xboole_0(B,C)))) # label(t86_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 130 (all A all B k2_xboole_0(k5_xboole_0(A,B),k3_xboole_0(A,B)) = k2_xboole_0(A,B)) # label(t93_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 131 (all A all B all C (r1_tarski(k4_xboole_0(A,B),C) -> r1_tarski(A,k2_xboole_0(B,C)))) # label(t44_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 132 (all A k5_xboole_0(A,A) = k1_xboole_0) # label(t92_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 133 (all A all B -(k1_xboole_0 = k4_xboole_0(B,A) & r2_xboole_0(A,B))) # label(t105_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 134 (all A all B all C k2_xboole_0(k4_xboole_0(A,B),k3_xboole_0(A,C)) = k4_xboole_0(A,k4_xboole_0(B,C))) # label(t52_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 135 (all A all B -(r1_xboole_0(k3_xboole_0(A,B),B) & -r1_xboole_0(A,B))) # label(t75_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 136 (all A all B all C (r1_xboole_0(A,B) -> k3_xboole_0(A,C) = k3_xboole_0(A,k2_xboole_0(B,C)))) # label(t78_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 137 (all A all B (k1_xboole_0 = k2_xboole_0(A,B) -> k1_xboole_0 = A)) # label(t15_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 138 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k3_xboole_0(A,C),B))) # label(t108_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 139 (all A all B all C (r1_xboole_0(B,C) & r1_tarski(A,C) & r1_tarski(A,B) -> k1_xboole_0 = A)) # label(t67_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 140 (all A all B all C (r1_tarski(A,k4_xboole_0(B,C)) -> r1_tarski(A,B) & r1_xboole_0(A,C))) # label(t106_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 141 (all A all B all C r1_tarski(k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C)),k2_xboole_0(B,C))) # label(t31_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 142 (all A all B all C (r1_tarski(A,B) & r2_xboole_0(B,C) -> r2_xboole_0(A,C))) # label(t59_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 143 (all A all B all C (r1_xboole_0(A,B) & r1_xboole_0(C,B) & k2_xboole_0(A,B) = k2_xboole_0(C,B) -> C = A)) # label(t71_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 144 (all A all B (r1_tarski(A,B) -> B = k2_xboole_0(A,k4_xboole_0(B,A)))) # label(t45_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 145 (all A all B all C (r1_tarski(C,B) & r1_tarski(A,B) -> r1_tarski(k2_xboole_0(A,C),B))) # label(t8_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 146 (all A all B all C k2_xboole_0(k2_xboole_0(A,B),C) = k2_xboole_0(A,k2_xboole_0(B,C))) # label(t4_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 147 (all A all B all C r1_tarski(k3_xboole_0(A,B),k2_xboole_0(A,C))) # label(t29_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 148 (all A all B k5_xboole_0(k5_xboole_0(A,B),k2_xboole_0(A,B)) = k3_xboole_0(A,B)) # label(t95_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 149 (all A all B -(r2_xboole_0(A,B) & r2_xboole_0(B,A))) # label(t57_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 150 (all A (-(r1_xboole_0(A,A) & k1_xboole_0 != A) & -(-r1_xboole_0(A,A) & A = k1_xboole_0))) # label(t66_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 151 (all A all B all C (r1_tarski(A,k5_xboole_0(B,C)) <-> r1_xboole_0(A,k3_xboole_0(B,C)) & r1_tarski(A,k2_xboole_0(B,C)))) # label(t107_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 152 (all A all B r1_tarski(k3_xboole_0(A,B),A)) # label(t17_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 153 (all A all B all C all D (r1_tarski(C,D) & r1_tarski(A,B) -> r1_tarski(k3_xboole_0(A,C),k3_xboole_0(B,D)))) # label(t27_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 154 (all A all B k4_xboole_0(A,B) = k4_xboole_0(A,k3_xboole_0(A,B))) # label(t47_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 155 (all A all B all C k4_xboole_0(A,k3_xboole_0(B,C)) = k2_xboole_0(k4_xboole_0(A,B),k4_xboole_0(A,C))) # label(t54_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 156 (all A all B all C (-(-(r1_xboole_0(A,C) & r1_xboole_0(A,B)) & r1_xboole_0(A,k2_xboole_0(B,C))) & -(r1_xboole_0(A,C) & r1_xboole_0(A,B) & -r1_xboole_0(A,k2_xboole_0(B,C))))) # label(t70_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 157 (all A all B all C k3_xboole_0(k3_xboole_0(A,B),C) = k3_xboole_0(A,k3_xboole_0(B,C))) # label(t16_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 158 (all A all B r1_xboole_0(k4_xboole_0(A,B),k4_xboole_0(B,A))) # label(t82_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 159 (all A all B (k4_xboole_0(A,B) = k4_xboole_0(B,A) -> A = B)) # label(t32_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 160 (all A all B k2_xboole_0(A,k2_xboole_0(A,B)) = k2_xboole_0(A,B)) # label(t6_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 161 (all A all B k5_xboole_0(A,k4_xboole_0(B,A)) = k2_xboole_0(A,B)) # label(t98_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 162 (all A all B r1_xboole_0(k3_xboole_0(A,B),k5_xboole_0(A,B))) # label(t103_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 163 (all A all B all C (r2_xboole_0(B,C) & r2_xboole_0(A,B) -> r2_xboole_0(A,C))) # label(t56_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 164 (all A all B all C k4_xboole_0(k4_xboole_0(A,B),C) = k4_xboole_0(A,k2_xboole_0(B,C))) # label(t41_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 165 (all A all B all C (r1_tarski(B,C) & r1_tarski(A,B) -> r1_tarski(A,C))) # label(t1_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 166 (all A all B (r1_tarski(A,B) -> A = k3_xboole_0(A,B))) # label(t28_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 167 (all A all B all C (r1_xboole_0(A,B) -> r1_xboole_0(k3_xboole_0(C,A),k3_xboole_0(C,B)))) # label(t76_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 168 (all A all B k3_xboole_0(A,B) = k4_xboole_0(A,k4_xboole_0(A,B))) # label(t48_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 169 (all A all B k3_xboole_0(A,k2_xboole_0(A,B)) = A) # label(t21_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 170 (all A all B all C (r1_tarski(A,C) & (all D (r1_tarski(D,C) & r1_tarski(D,B) -> r1_tarski(D,A))) & r1_tarski(A,B) -> A = k3_xboole_0(B,C))) # label(t20_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 171 (all A all B all C k3_xboole_0(A,k4_xboole_0(B,C)) = k4_xboole_0(k3_xboole_0(A,B),k3_xboole_0(A,C))) # label(t50_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 172 (all A (r1_tarski(A,k1_xboole_0) -> A = k1_xboole_0)) # label(t3_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 173 (all A all B r1_xboole_0(k4_xboole_0(A,B),B)) # label(t79_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 174 (all A (A != k1_xboole_0 -> r2_xboole_0(k1_xboole_0,A))) # label(t61_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 175 (all A all B all C k2_xboole_0(k2_xboole_0(k3_xboole_0(A,B),k3_xboole_0(B,C)),k3_xboole_0(C,A)) = k3_xboole_0(k3_xboole_0(k2_xboole_0(A,B),k2_xboole_0(B,C)),k2_xboole_0(C,A))) # label(t25_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 176 (all A all B all C all D k2_xboole_0(A,k2_xboole_0(k2_xboole_0(B,C),D)) = k2_xboole_0(k2_xboole_0(k2_xboole_0(A,B),C),D)) # label(t113_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 177 (all A all B (-(A != B & -r2_xboole_0(B,A) & -r2_xboole_0(A,B)) <-> r3_xboole_0(A,B))) # label(t104_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 178 (all A all B (r1_tarski(A,B) -> k2_xboole_0(A,B) = B)) # label(t12_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 179 (all A all B all C (r1_tarski(A,k2_xboole_0(B,C)) -> r1_tarski(k4_xboole_0(A,B),C))) # label(t43_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 180 (all A all B k2_xboole_0(A,k4_xboole_0(B,A)) = k2_xboole_0(A,B)) # label(t39_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 181 (all A all B all C (r1_tarski(A,k3_xboole_0(B,C)) -> r1_tarski(A,B))) # label(t18_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 182 (all A all B -(r2_xboole_0(B,A) & r1_tarski(A,B))) # label(t60_xboole_1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 183 (all A k1_tarski(A) = k3_enumset1(A,A,A,A,A)) # label(t87_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 184 (all A all B all C all D all E all F all G k2_xboole_0(k2_enumset1(A,B,C,D),k1_enumset1(E,F,G)) = k5_enumset1(A,B,C,D,E,F,G)) # label(t59_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 185 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(A,C,B,D)) # label(t104_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 186 (all A all B k6_enumset1(A,A,A,A,A,A,A,B) = k2_tarski(A,B)) # label(t95_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 187 $T # label(t36_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 188 $T # label(t34_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 189 $T # label(t39_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 190 $T # label(t114_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 191 $T # label(t25_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 192 (all A all B all C all D all E all F all G all H k2_xboole_0(k5_enumset1(A,B,C,D,E,F,G),k1_tarski(H)) = k6_enumset1(A,B,C,D,E,F,G,H)) # label(t68_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 193 $T # label(dt_k5_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 194 $T # label(t27_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 195 $T # label(t115_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 196 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(B,D,C,A)) # label(t113_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 197 (all A all B all C all D all E all F all G k6_enumset1(A,A,B,C,D,E,F,G) = k5_enumset1(A,B,C,D,E,F,G)) # label(t75_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 198 (all A all B all C all D all E k2_xboole_0(k1_tarski(A),k2_enumset1(B,C,D,E)) = k3_enumset1(A,B,C,D,E)) # label(t47_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 199 $T # label(t30_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 200 $T # label(t24_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 201 $T # label(t11_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 202 (all A all B all C k3_enumset1(A,A,A,B,C) = k1_enumset1(A,B,C)) # label(t78_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 203 (all A k1_tarski(A) = k2_tarski(A,A)) # label(t69_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 204 $T # label(t16_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 205 $T # label(t14_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 206 $T # label(t18_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 207 $T # label(t9_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 208 $T # label(t124_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 209 (all A k1_enumset1(A,A,A) = k1_tarski(A)) # label(t76_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 210 $T # label(t5_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 211 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(A,D,C,B)) # label(t107_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 212 (all A all B all C all D all E all F all G k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k2_tarski(A,B),k3_enumset1(C,D,E,F,G))) # label(t57_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 213 (all A all B all C k1_enumset1(A,B,C) = k1_enumset1(B,C,A)) # label(t100_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 214 (all A all B all C all D all E all F all G all H k2_xboole_0(k2_enumset1(A,B,C,D),k2_enumset1(E,F,G,H)) = k6_enumset1(A,B,C,D,E,F,G,H)) # label(t65_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 215 (all A k1_tarski(A) = k6_enumset1(A,A,A,A,A,A,A,A)) # label(t96_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 216 $T # label(t40_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 217 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(C,B,A,D)) # label(t116_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 218 (all A all B all C all D all E all F k4_enumset1(A,B,C,D,E,F) = k5_enumset1(A,A,B,C,D,E,F)) # label(t74_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 219 (all A all B all C all D all E all F all G all H k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k2_tarski(A,B),k4_enumset1(C,D,E,F,G,H))) # label(t63_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 220 (all A all B all C all D all E (E = k2_enumset1(A,B,C,D) <-> (all F (-(F != A & F != B & F != D & C != F) <-> r2_hidden(F,E))))) # label(d2_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 221 $T # label(dt_k2_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 222 $T # label(t4_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 223 (all A all B all C k1_enumset1(C,B,A) = k1_enumset1(A,B,C)) # label(t102_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 224 (all A all B all C k5_enumset1(A,A,A,A,A,B,C) = k1_enumset1(A,B,C)) # label(t89_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 225 $T # label(dt_k4_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 226 (all A all B all C all D all E all F all G all H k2_xboole_0(k1_enumset1(A,B,C),k3_enumset1(D,E,F,G,H)) = k6_enumset1(A,B,C,D,E,F,G,H)) # label(t64_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 227 (all A all B all C all D all E all F all G all H k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k3_enumset1(A,B,C,D,E),k1_enumset1(F,G,H))) # label(t66_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 228 (all A all B all C all D all E k4_enumset1(A,A,B,C,D,E) = k3_enumset1(A,B,C,D,E)) # label(t73_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 229 $T # label(t37_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 230 $T # label(t8_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 231 (all A all B all C all D all E all F k2_xboole_0(k2_enumset1(A,B,C,D),k2_tarski(E,F)) = k4_enumset1(A,B,C,D,E,F)) # label(t54_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 232 (all A all B all C all D k2_enumset1(A,B,D,C) = k2_enumset1(A,B,C,D)) # label(t103_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 233 (all A all B all C all D all E all F all G all H k6_enumset1(A,B,C,D,E,F,G,H) = k2_xboole_0(k1_tarski(A),k5_enumset1(B,C,D,E,F,G,H))) # label(t62_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 234 $T # label(t121_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 235 (all A all B all C all D all E all F all G all H k2_xboole_0(k4_enumset1(A,B,C,D,E,F),k2_tarski(G,H)) = k6_enumset1(A,B,C,D,E,F,G,H)) # label(t67_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 236 $T # label(t1_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 237 (all A all B all C all D k4_enumset1(A,A,A,B,C,D) = k2_enumset1(A,B,C,D)) # label(t79_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 238 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(C,D,A,B)) # label(t118_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 239 (all A all B all C all D (D = k1_enumset1(A,B,C) <-> (all E (-(E != C & E != B & A != E) <-> r2_hidden(E,D))))) # label(d1_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 240 $T # label(t17_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 241 (all A all B all C all D all E k3_enumset1(A,B,C,D,E) = k6_enumset1(A,A,A,A,B,C,D,E)) # label(t86_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 242 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(D,B,C,A)) # label(t123_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 243 $T # label(t33_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 244 (all A k4_enumset1(A,A,A,A,A,A) = k1_tarski(A)) # label(t91_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 245 (all A all B all C all D k2_enumset1(C,B,D,A) = k2_enumset1(A,B,C,D)) # label(t117_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 246 (all A all B all C all D all E all F all G k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k4_enumset1(A,B,C,D,E,F),k1_tarski(G))) # label(t61_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 247 (all A all B k3_enumset1(A,A,A,A,B) = k2_tarski(A,B)) # label(t83_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 248 $T # label(t35_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 249 (all A all B all C all D k2_enumset1(A,B,C,D) = k3_enumset1(A,A,B,C,D)) # label(t72_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 250 (all A all B k2_tarski(A,B) = k5_enumset1(A,A,A,A,A,A,B)) # label(t92_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 251 (all A all B all C all D all E all F all G k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k1_enumset1(A,B,C),k2_enumset1(D,E,F,G))) # label(t58_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 252 (all A all B k2_enumset1(A,A,A,B) = k2_tarski(A,B)) # label(t77_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 253 $T # label(t122_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 254 $T # label(dt_k6_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 255 (all A all B all C all D all E all F k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k2_tarski(A,B),k2_enumset1(C,D,E,F))) # label(t52_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 256 (all A all B all C all D all E all F all G (G = k4_enumset1(A,B,C,D,E,F) <-> (all H (-(A != H & D != H & H != E & F != H & H != C & H != B) <-> r2_hidden(H,G))))) # label(d4_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 257 (all A all B all C k2_enumset1(A,A,B,C) = k1_enumset1(A,B,C)) # label(t71_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 258 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(B,C,A,D)) # label(t110_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 259 (all A all B all C all D k2_enumset1(B,D,A,C) = k2_enumset1(A,B,C,D)) # label(t112_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 260 (all A all B all C all D all E k3_enumset1(A,B,C,D,E) = k2_xboole_0(k2_tarski(A,B),k1_enumset1(C,D,E))) # label(t48_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 261 (all A all B all C all D k2_enumset1(C,D,B,A) = k2_enumset1(A,B,C,D)) # label(t119_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 262 $T # label(t22_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 263 (all A all B all C k1_enumset1(A,B,C) = k6_enumset1(A,A,A,A,A,A,B,C)) # label(t93_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 264 (all A all B all C all D all E k2_xboole_0(k2_enumset1(A,B,C,D),k1_tarski(E)) = k3_enumset1(A,B,C,D,E)) # label(t50_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 265 $T # label(t31_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 266 $T # label(t15_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 267 $T # label(t2_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/24.99 268 (all A all B all C all D all E all F k4_enumset1(A,B,C,D,E,F) = k6_enumset1(A,A,A,B,C,D,E,F)) # label(t81_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 269 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(B,A,C,D)) # label(t108_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 270 $T # label(t120_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 271 $T # label(dt_k3_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 272 $T # label(t28_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 273 $T # label(t20_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 274 (all A all B all C all D all E all F (F = k3_enumset1(A,B,C,D,E) <-> (all G (r2_hidden(G,F) <-> -(G != B & G != C & D != G & G != E & G != A))))) # label(d3_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 275 $T # label(t29_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 276 (all A all B all C all D k5_enumset1(A,A,A,A,B,C,D) = k2_enumset1(A,B,C,D)) # label(t85_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 277 (all A all B all C all D k2_xboole_0(k2_tarski(A,B),k2_tarski(C,D)) = k2_enumset1(A,B,C,D)) # label(t45_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 278 (all A all B all C k1_enumset1(A,B,C) = k1_enumset1(B,A,C)) # label(t99_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 279 (all A all B k4_enumset1(A,A,A,A,A,B) = k2_tarski(A,B)) # label(t88_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 280 $T # label(t21_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 281 (all A all B all C all D k2_xboole_0(k1_tarski(A),k1_enumset1(B,C,D)) = k2_enumset1(A,B,C,D)) # label(t44_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 282 $T # label(dt_k1_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 283 (all A k1_tarski(A) = k2_enumset1(A,A,A,A)) # label(t82_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 284 (all A all B k2_xboole_0(k1_tarski(A),k1_tarski(B)) = k2_tarski(A,B)) # label(t41_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 285 $T # label(t32_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 286 (all A all B all C k1_enumset1(A,B,C) = k2_xboole_0(k1_tarski(A),k2_tarski(B,C))) # label(t42_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 287 (all A all B all C all D all E all F all G all H all I (I = k6_enumset1(A,B,C,D,E,F,G,H) <-> (all J (r2_hidden(J,I) <-> -(J != B & J != C & J != E & J != F & H != J & J != G & D != J & A != J))))) # label(d6_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 288 (all A all B all C all D k2_enumset1(B,C,D,A) = k2_enumset1(A,B,C,D)) # label(t111_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 289 $T # label(t13_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 290 (all A all B all C all D all E all F k2_xboole_0(k3_enumset1(A,B,C,D,E),k1_tarski(F)) = k4_enumset1(A,B,C,D,E,F)) # label(t55_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 291 (all A all B all C all D k2_enumset1(A,B,C,D) = k6_enumset1(A,A,A,A,A,B,C,D)) # label(t90_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 292 $T # label(t97_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 293 $T # label(t19_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 294 $T # label(t6_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 295 (all A all B all C k1_enumset1(A,C,B) = k1_enumset1(A,B,C)) # label(t98_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 296 (all A all B all C all D all E all F all G all H ((all I (-(C != I & D != I & I != F & G != I & I != E & I != B & A != I) <-> r2_hidden(I,H))) <-> k5_enumset1(A,B,C,D,E,F,G) = H)) # label(d5_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 297 (all A all B all C k1_enumset1(A,B,C) = k2_xboole_0(k2_tarski(A,B),k1_tarski(C))) # label(t43_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 298 $T # label(t12_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 299 (all A all B all C k4_enumset1(A,A,A,A,B,C) = k1_enumset1(A,B,C)) # label(t84_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 300 (all A all B all C all D all E k2_xboole_0(k1_enumset1(A,B,C),k2_tarski(D,E)) = k3_enumset1(A,B,C,D,E)) # label(t49_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 301 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_xboole_0(k1_enumset1(A,B,C),k1_tarski(D))) # label(t46_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 302 $T # label(t7_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 303 $T # label(t38_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 304 $T # label(t26_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 305 $T # label(t101_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 306 (all A all B all C all D all E k5_enumset1(A,A,A,B,C,D,E) = k3_enumset1(A,B,C,D,E)) # label(t80_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 307 (all A all B all C all D all E all F all G k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k1_tarski(A),k4_enumset1(B,C,D,E,F,G))) # label(t56_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 308 (all A all B all C all D all E all F k2_xboole_0(k1_enumset1(A,B,C),k1_enumset1(D,E,F)) = k4_enumset1(A,B,C,D,E,F)) # label(t53_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 309 $T # label(t10_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 310 (all A k5_enumset1(A,A,A,A,A,A,A) = k1_tarski(A)) # label(t94_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 311 (all A all B all C all D k2_enumset1(B,A,D,C) = k2_enumset1(A,B,C,D)) # label(t109_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 312 (all A all B k2_tarski(A,B) = k1_enumset1(A,A,B)) # label(t70_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 313 (all A all B all C all D all E all F all G k5_enumset1(A,B,C,D,E,F,G) = k2_xboole_0(k3_enumset1(A,B,C,D,E),k2_tarski(F,G))) # label(t60_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 314 (all A all B all C all D k2_enumset1(A,B,C,D) = k2_enumset1(D,C,B,A)) # label(t125_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 315 $T # label(t3_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 316 $T # label(t23_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 317 (all A all B all C all D all E all F k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k1_tarski(A),k3_enumset1(B,C,D,E,F))) # label(t51_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 318 (all A all B all C all D k2_enumset1(A,C,D,B) = k2_enumset1(A,B,C,D)) # label(t105_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 319 $T # label(t106_enumset1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 320 (all A all B all C all D -(A != C & D != A & k2_tarski(A,B) = k2_tarski(C,D))) # label(t10_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 321 (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]. 25.49/25.00 322 $T # label(t5_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 323 (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]. 25.49/25.00 324 (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]. 25.49/25.00 325 $T # label(t61_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 326 (all A all B (k3_xboole_0(k1_tarski(A),k1_tarski(B)) = k1_tarski(A) -> A = B)) # label(t18_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 327 (all A all B all C (k2_tarski(B,C) = k1_tarski(A) -> B = A)) # label(t8_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 328 (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]. 25.49/25.00 329 (all A all B all C (r2_hidden(B,C) & r2_hidden(A,C) <-> r1_tarski(k2_tarski(A,B),C))) # label(t38_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 330 (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]. 25.49/25.00 331 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 332 (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]. 25.49/25.00 333 (all A all B (r1_tarski(A,k2_zfmisc_1(B,A)) | r1_tarski(A,k2_zfmisc_1(A,B)) -> A = k1_xboole_0)) # label(t135_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 334 (all A all B (k4_xboole_0(k1_tarski(A),B) = k1_xboole_0 <-> r2_hidden(A,B))) # label(t68_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 335 $T # label(t3_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 336 (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]. 25.49/25.00 337 $T # label(t133_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 338 $T # label(t87_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 339 $T # label(t4_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 340 (all A all B (k3_xboole_0(k1_tarski(A),B) = k1_tarski(A) | r1_xboole_0(k1_tarski(A),B))) # label(t58_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 341 (all A all B all C all D (r2_hidden(B,D) & C = A <-> r2_hidden(k4_tarski(A,B),k2_zfmisc_1(k1_tarski(C),D)))) # label(t128_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 342 (all A k3_tarski(k1_tarski(A)) = A) # label(t31_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 343 (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]. 25.49/25.00 344 (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]. 25.49/25.00 345 (all A all B all C all D (k2_zfmisc_1(A,B) = k2_zfmisc_1(C,D) -> k1_xboole_0 = A | C = A & D = B | B = k1_xboole_0)) # label(t134_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 346 (all A all B all C (k2_zfmisc_1(k3_xboole_0(A,B),C) = k3_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) & k3_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B)) = k2_zfmisc_1(C,k3_xboole_0(A,B)))) # label(t122_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 347 $T # label(t71_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 348 (all A all B all C (-r2_hidden(A,C) & -r2_hidden(B,C) <-> k4_xboole_0(k2_tarski(A,B),C) = k2_tarski(A,B))) # label(t72_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 349 (all A all B all C all D (r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) -> r1_tarski(A,C) & r1_tarski(B,D) | k2_zfmisc_1(A,B) = k1_xboole_0)) # label(t138_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 350 (all A r1_tarski(k1_tarski(A),k1_zfmisc_1(A))) # label(t80_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 351 (all A all B (k1_tarski(A) = k2_xboole_0(k1_tarski(A),k1_tarski(B)) -> A = B)) # label(t13_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 352 (all A all B all C (r1_tarski(A,k2_tarski(B,C)) <-> -(k1_tarski(B) != A & k2_tarski(B,C) != A & k1_tarski(C) != A & A != k1_xboole_0))) # label(t42_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 353 (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]. 25.49/25.00 354 (all A all B -(A != k1_xboole_0 & k1_tarski(B) != A & k4_xboole_0(A,k1_tarski(B)) = k1_xboole_0)) # label(t66_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 355 (all A exists B ((all C all D (r2_hidden(C,B) & r1_tarski(D,C) -> r2_hidden(D,B))) & (all C -(-r2_hidden(C,B) & -r2_tarski(C,B) & r1_tarski(C,B))) & (all C (r2_hidden(C,B) -> r2_hidden(k1_zfmisc_1(C),B))) & r2_hidden(A,B))) # label(t136_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 356 $T # label(t85_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 357 (all A all B all C (k4_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) = k2_zfmisc_1(k4_xboole_0(A,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]. 25.49/25.00 358 (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]. 25.49/25.00 359 (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]. 25.49/25.00 360 (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]. 25.49/25.00 361 (all A all B (k2_zfmisc_1(A,A) = k2_zfmisc_1(B,B) -> B = A)) # label(t115_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 362 (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]. 25.49/25.00 363 (all A all B ((all C all D (r2_hidden(k4_tarski(C,D),A) -> r2_hidden(k4_tarski(C,D),B))) & (all C -(r2_hidden(C,A) & (all D all E C != k4_tarski(D,E)))) -> r1_tarski(A,B))) # label(t111_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 364 (all A all B all C all D -(r1_tarski(k2_tarski(A,B),k2_tarski(C,D)) & A != D & A != C)) # label(t28_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 365 (all A all B all C (k1_tarski(A) = k2_tarski(B,C) -> B = C)) # label(t9_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 366 (all A all B (A != B -> k2_tarski(A,B) = k5_xboole_0(k1_tarski(A),k1_tarski(B)))) # label(t29_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 367 (all A k1_zfmisc_1(k1_tarski(A)) = k2_tarski(k1_xboole_0,k1_tarski(A))) # label(t30_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 368 (all A r1_tarski(A,k1_zfmisc_1(k3_tarski(A)))) # label(t100_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 369 (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]. 25.49/25.00 370 (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]. 25.49/25.00 371 (all A all B k2_xboole_0(k1_tarski(A),B) != k1_xboole_0) # label(t49_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 372 (all A all B (k2_zfmisc_1(A,B) = k2_zfmisc_1(B,A) -> k1_xboole_0 = A | B = k1_xboole_0 | B = A)) # label(t114_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 373 (all A all B (k1_xboole_0 != A -> k2_zfmisc_1(k1_tarski(B),A) != k1_xboole_0 & k1_xboole_0 != k2_zfmisc_1(A,k1_tarski(B)))) # label(t130_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 374 (all A A = k3_tarski(k1_zfmisc_1(A))) # label(t99_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 375 (all A all B all C all D k4_zfmisc_1(A,B,C,D) = k2_zfmisc_1(k3_zfmisc_1(A,B,C),D)) # label(d4_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 376 (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]. 25.49/25.00 377 (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]. 25.49/25.00 378 $T # label(t77_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 379 (all A all B (r1_tarski(k1_tarski(A),B) <-> r2_hidden(A,B))) # label(t37_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 380 (all A all B (B != A <-> k1_tarski(A) = k4_xboole_0(k1_tarski(A),k1_tarski(B)))) # label(t20_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 381 (all A all B all C (k2_zfmisc_1(k1_tarski(A),k2_tarski(B,C)) = k2_tarski(k4_tarski(A,B),k4_tarski(A,C)) & k2_zfmisc_1(k2_tarski(A,B),k1_tarski(C)) = k2_tarski(k4_tarski(A,C),k4_tarski(B,C)))) # label(t36_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 382 (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]. 25.49/25.00 383 $T # label(t15_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 384 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) & r1_tarski(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B)))) # label(t118_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 385 (all A all B all C -(k2_xboole_0(B,C) = k1_tarski(A) & k1_xboole_0 != C & k1_xboole_0 != B & B != C)) # label(t44_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 386 (all A (-v1_xboole_0(A) -> (all B all C all D (r1_tarski(k2_zfmisc_1(B,A),k2_zfmisc_1(D,C)) | r1_tarski(k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) -> r1_tarski(B,D))))) # label(t139_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 387 (all A all B ((all C (r1_tarski(C,A) <-> r2_hidden(C,B))) <-> B = k1_zfmisc_1(A))) # label(d1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 388 (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]. 25.49/25.00 389 (all A all B all C (k4_xboole_0(A,k2_tarski(B,C)) = k1_xboole_0 <-> -(A != k1_xboole_0 & k1_tarski(B) != A & k1_tarski(C) != A & A != k2_tarski(B,C)))) # label(t75_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 390 (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]. 25.49/25.00 391 (all A all B all C (k2_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C)) = k2_zfmisc_1(k2_xboole_0(A,B),C) & k2_zfmisc_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k2_zfmisc_1(C,A),k2_zfmisc_1(C,B)))) # label(t120_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 392 (all A all B all C -(k4_xboole_0(k2_tarski(A,B),C) != k1_xboole_0 & k4_xboole_0(k2_tarski(A,B),C) != k1_tarski(B) & k2_tarski(A,B) != k4_xboole_0(k2_tarski(A,B),C) & k1_tarski(A) != k4_xboole_0(k2_tarski(A,B),C))) # label(t74_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 393 (all A all B all C (r1_tarski(A,B) -> r1_tarski(A,k4_xboole_0(B,k1_tarski(C))) | r2_hidden(C,A))) # label(t40_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 394 $T # label(t76_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 395 (all A all B all C all D (r1_xboole_0(A,B) | r1_xboole_0(C,D) -> r1_xboole_0(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))) # label(t127_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 396 (all A all B ((all C -((all D all E k4_tarski(D,E) != C) & r2_hidden(C,A))) & (all C -(r2_hidden(C,B) & (all D all E k4_tarski(D,E) != C))) & (all C all D (r2_hidden(k4_tarski(C,D),B) <-> r2_hidden(k4_tarski(C,D),A))) -> B = A)) # label(t112_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 397 (all A all B all C (C != A & r2_hidden(A,B) <-> r2_hidden(A,k4_xboole_0(B,k1_tarski(C))))) # label(t64_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 398 (all A all B k2_tarski(A,B) = k3_tarski(k2_tarski(k1_tarski(A),k1_tarski(B)))) # label(t32_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 399 $T # label(t89_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 400 (all A all B (k1_xboole_0 = k4_xboole_0(k1_tarski(A),k1_tarski(B)) -> A = B)) # label(t21_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 401 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 402 (all A all B (r1_tarski(k1_tarski(A),k1_tarski(B)) -> B = A)) # label(t24_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 403 (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]. 25.49/25.00 404 (all A all B all C -(-r2_hidden(A,B) & -r2_hidden(C,B) & -r1_xboole_0(k2_tarski(A,C),B))) # label(t57_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 405 (all A all B all C (r2_hidden(A,B) -> A != C & r2_hidden(C,B) | k1_tarski(A) = k3_xboole_0(k2_tarski(A,C),B))) # label(t60_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 406 (all A all B r1_tarski(k1_tarski(A),k2_tarski(A,B))) # label(t12_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 407 (all A all B all C (r1_tarski(k2_tarski(A,B),k1_tarski(C)) -> k1_tarski(C) = k2_tarski(A,B))) # label(t27_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 408 (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]. 25.49/25.00 409 (all A all B (r2_hidden(A,B) -> k2_xboole_0(k4_xboole_0(B,k1_tarski(A)),k1_tarski(A)) = B)) # label(t140_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 410 (all A all B all C k1_xboole_0 != k2_xboole_0(k2_tarski(A,B),C)) # label(t50_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 411 (all A all B all C -(r1_xboole_0(k2_tarski(A,B),C) & r2_hidden(A,C))) # label(t55_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 412 (all A all B all C (k2_zfmisc_1(C,k2_tarski(A,B)) = k2_xboole_0(k2_zfmisc_1(C,k1_tarski(A)),k2_zfmisc_1(C,k1_tarski(B))) & k2_zfmisc_1(k2_tarski(A,B),C) = k2_xboole_0(k2_zfmisc_1(k1_tarski(A),C),k2_zfmisc_1(k1_tarski(B),C)))) # label(t132_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 413 (all A (r1_tarski(A,k2_zfmisc_1(A,A)) -> A = k1_xboole_0)) # label(t116_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 414 (all A all B -(A != k1_tarski(B) & (all C -(r2_hidden(C,A) & C != B)) & k1_xboole_0 != A)) # label(t41_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 415 (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]. 25.49/25.00 416 (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]. 25.49/25.00 417 (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]. 25.49/25.00 418 (all A all B all C (k4_xboole_0(k2_tarski(A,B),C) = k1_tarski(A) <-> (B = A | r2_hidden(B,C)) & -r2_hidden(A,C))) # label(t70_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 419 $T # label(t62_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 420 $T # label(t78_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 421 (all A all B (r2_hidden(A,B) -> r1_tarski(A,k3_tarski(B)))) # label(t92_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 422 (all A all B all C all D all E -((all F all G -(k4_tarski(F,G) = A & r2_hidden(F,k3_xboole_0(B,D)) & r2_hidden(G,k3_xboole_0(C,E)))) & r2_hidden(A,k3_xboole_0(k2_zfmisc_1(B,C),k2_zfmisc_1(D,E))))) # label(t104_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 423 (all A all B all C all D -((all E all F -(r2_hidden(F,C) & k4_tarski(E,F) = D & r2_hidden(E,B))) & r2_hidden(D,A) & r1_tarski(A,k2_zfmisc_1(B,C)))) # label(t103_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 424 $T # label(t91_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 425 (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]. 25.49/25.00 426 (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]. 25.49/25.00 427 $T # label(t7_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 428 (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]. 25.49/25.00 429 (all A all B all C (k2_zfmisc_1(A,B) = C <-> (all D (r2_hidden(D,C) <-> (exists E exists F (r2_hidden(F,B) & D = k4_tarski(E,F) & r2_hidden(E,A))))))) # label(d2_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 430 $T # label(dt_k4_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 431 (all A all B all C -(-(k1_tarski(A) = C & k1_xboole_0 = B) & -(k1_tarski(A) = B & C = k1_xboole_0) & -(k1_tarski(A) = B & C = k1_tarski(A)) & k1_tarski(A) = k2_xboole_0(B,C))) # label(t43_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 432 (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]. 25.49/25.00 433 (all A all B (r1_tarski(k1_tarski(A),k1_tarski(B)) -> B = A)) # label(t6_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 434 (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]. 25.49/25.00 435 (all A all B all C -(k1_tarski(A) = k3_xboole_0(k2_tarski(A,B),C) & A != B & r2_hidden(B,C))) # label(t59_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 436 (all A all B k1_zfmisc_1(k3_xboole_0(A,B)) = k3_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B))) # label(t83_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 437 (all A all B (k2_xboole_0(k1_zfmisc_1(A),k1_zfmisc_1(B)) = k1_zfmisc_1(k2_xboole_0(A,B)) -> r3_xboole_0(A,B))) # label(t82_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 438 (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]. 25.49/25.00 439 (all A all B all C (r2_hidden(A,B) & r2_hidden(C,B) -> k2_tarski(A,C) = k3_xboole_0(k2_tarski(A,C),B))) # label(t53_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 440 (all A all B -v1_xboole_0(k4_tarski(A,B))) # label(fc1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 441 $T # label(t88_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 442 (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]. 25.49/25.00 443 (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]. 25.49/25.00 444 (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]. 25.49/25.00 445 $T # label(dt_k3_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 446 (all A all B ((all C all D (r2_hidden(C,k2_xboole_0(A,B)) & r2_hidden(D,k2_xboole_0(A,B)) -> C = D | r1_xboole_0(C,D))) -> 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]. 25.49/25.00 447 (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]. 25.49/25.00 448 (all A all B all C all D (r1_tarski(C,D) & r1_tarski(A,B) -> r1_tarski(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))) # label(t119_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 449 (all A all B all C all D (r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,k1_tarski(D))) <-> r2_hidden(A,C) & D = B)) # label(t129_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 450 (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]. 25.49/25.00 451 (all A all B (k4_xboole_0(k1_tarski(A),B) = k1_xboole_0 | k1_tarski(A) = k4_xboole_0(k1_tarski(A),B))) # label(t69_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 452 (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]. 25.49/25.00 453 (all A all B (A != B -> k4_xboole_0(k2_tarski(A,B),k1_tarski(B)) = k1_tarski(A))) # label(t23_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 454 $T # label(t90_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 455 (all A all B all C -((all D all E k4_tarski(D,E) != A) & r2_hidden(A,k2_zfmisc_1(B,C)))) # label(t102_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 456 (all A all B all C -(k1_xboole_0 != A & -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]. 25.49/25.00 457 (all A all B all C all D (A != B -> r1_xboole_0(k2_zfmisc_1(k1_tarski(A),C),k2_zfmisc_1(k1_tarski(B),D)) & r1_xboole_0(k2_zfmisc_1(C,k1_tarski(A)),k2_zfmisc_1(D,k1_tarski(B))))) # label(t131_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 458 (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]. 25.49/25.00 459 (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]. 25.49/25.00 460 $T # label(t11_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 461 (all A all B all C all D (k4_tarski(A,B) = k4_tarski(C,D) -> A = C & D = B)) # label(t33_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 462 (all A all B all C all D all E all F ((all G all H (r2_hidden(k4_tarski(G,H),D) <-> r2_hidden(k4_tarski(G,H),A))) & r1_tarski(D,k2_zfmisc_1(E,F)) & r1_tarski(A,k2_zfmisc_1(B,C)) -> D = A)) # label(t110_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 463 (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]. 25.49/25.00 464 (all A all B all C (r2_hidden(A,C) & r2_hidden(B,C) <-> k4_xboole_0(k2_tarski(A,B),C) = k1_xboole_0)) # label(t73_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 465 (all A all B (A = k1_tarski(B) | A = k1_xboole_0 <-> r1_tarski(A,k1_tarski(B)))) # label(t39_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 466 (all A all B all C -(A != B & C != A & r1_tarski(k1_tarski(A),k2_tarski(B,C)))) # label(t25_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 467 (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]. 25.49/25.00 468 $T # label(t14_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 469 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k5_subset_1(A,B,k3_subset_1(A,C)) = k6_subset_1(A,B,C))))) # label(t32_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 470 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k4_subset_1(A,B,k2_subset_1(A)) = k2_subset_1(A))) # label(t28_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 471 (exists A ((all B (m1_subset_1(B,f1_s3_subset_1) -> (r2_hidden(B,A) <-> p1_s3_subset_1(B)))) & m1_subset_1(A,k1_zfmisc_1(f1_s3_subset_1)))) # label(s3_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 472 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k5_subset_1(A,C,B) = k5_subset_1(A,B,C))) # label(commutativity_k5_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 473 (all A (m1_subset_1(A,f1_s4_subset_1) -> (r2_hidden(A,f2_s4_subset_1) <-> p1_s4_subset_1(A)))) & (all A (m1_subset_1(A,f1_s4_subset_1) -> (p1_s4_subset_1(A) <-> r2_hidden(A,f3_s4_subset_1)))) -> f3_s4_subset_1 = f2_s4_subset_1 # label(s4_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 474 (all A (m1_subset_1(A,k1_zfmisc_1(f1_s2_subset_1)) -> (all B (m1_subset_1(B,k1_zfmisc_1(f1_s2_subset_1)) -> ((all C (m1_subset_1(C,f1_s2_subset_1) -> (p1_s2_subset_1(C) <-> r2_hidden(C,B)))) & (all C (m1_subset_1(C,f1_s2_subset_1) -> (p1_s2_subset_1(C) <-> r2_hidden(C,A)))) -> B = A))))) # label(s2_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 475 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (r1_tarski(B,k3_subset_1(A,B)) <-> k1_subset_1(A) = B))) # label(t38_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 476 $T # label(t19_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 477 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> (r1_subset_1(A,B) -> r1_subset_1(B,A)))) # label(symmetry_r1_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 478 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k3_subset_1(A,k6_subset_1(A,B,C)) = k4_subset_1(A,k3_subset_1(A,B),C))))) # label(t33_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 479 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(D) & -v1_xboole_0(C) -> -v1_xboole_0(k4_zfmisc_1(A,B,C,D)))) # label(fc6_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 480 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> (r2_subset_1(A,B) <-> r1_xboole_0(A,B)))) # label(redefinition_r2_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 481 $T # label(t20_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 482 (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]. 25.49/25.00 483 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (k1_xboole_0 != A -> m1_subset_1(k2_tarski(B,C),k1_zfmisc_1(A))))))) # label(t56_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 484 (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)))) -> C = B))))) # label(t8_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 485 $T # label(t1_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 486 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -r2_subset_1(A,A))) # label(irreflexivity_r2_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 487 (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]. 25.49/25.00 488 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> ((all C (m1_subset_1(C,A) -> r2_hidden(C,B))) -> A = B))) # label(t49_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 489 $T # label(t11_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 490 (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]. 25.49/25.00 491 (all A (k1_xboole_0 != A -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,A) -> (-r2_hidden(C,B) -> r2_hidden(C,k3_subset_1(A,B))))))))) # label(t50_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 492 $T # label(t23_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 493 $T # label(d1_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 494 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> ((all E (m1_subset_1(E,A) -> (r2_hidden(E,B) <-> -(r2_hidden(E,C) <-> r2_hidden(E,D))))) -> k7_subset_1(A,C,D) = B))))))) # label(t18_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 495 $T # label(t9_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 496 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(A) -> (exists C m2_subset_1(C,A,B)))) # label(existence_m2_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 497 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k6_subset_1(A,B,C) = k4_xboole_0(B,C))) # label(redefinition_k6_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 498 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k5_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.49/25.00 499 (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]. 25.49/25.00 500 (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]. 25.49/25.00 501 (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]. 25.49/25.00 502 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,A) -> (all I (m1_subset_1(I,A) -> (k1_xboole_0 != A -> m1_subset_1(k6_enumset1(B,C,D,E,F,G,H,I),k1_zfmisc_1(A))))))))))))))))))) # label(t62_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.00 503 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_tarski(B,k3_subset_1(A,C)) <-> r1_xboole_0(B,C)))))) # label(t43_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.00 504 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k3_subset_1(A,k7_subset_1(A,B,C)) = k4_subset_1(A,k5_subset_1(A,B,C),k5_subset_1(A,k3_subset_1(A,B),k3_subset_1(A,C))))))) # label(t34_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.00 505 (all A k2_subset_1(A) = k3_subset_1(A,k1_subset_1(A))) # label(t22_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.00 506 (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]. 25.58/25.00 507 $T # label(t27_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.00 508 $T # label(t3_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.00 509 (all A A = k2_subset_1(A)) # label(d4_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.00 510 (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)))) -> k6_subset_1(A,C,D) = B))))))) # label(t17_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.00 511 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> ((all E (m1_subset_1(E,A) -> (r2_hidden(E,B) <-> r2_hidden(E,C) & r2_hidden(E,D)))) -> B = k5_subset_1(A,C,D)))))))) # label(t16_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.00 512 (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]. 25.58/25.00 513 (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]. 25.58/25.00 514 (all A all B -v1_xboole_0(k2_tarski(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.00 515 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> ((all E (m1_subset_1(E,A) -> (r2_hidden(E,C) | r2_hidden(E,D) <-> r2_hidden(E,B)))) -> B = k4_subset_1(A,C,D)))))))) # label(t15_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.00 516 (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]. 25.58/25.00 517 (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]. 25.58/25.01 518 $T # label(t13_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 519 $T # label(t45_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 520 $T # label(t5_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 521 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r1_tarski(B,C) & r1_xboole_0(D,C) -> r1_tarski(B,k3_subset_1(A,D))))))))) # label(t47_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 522 (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]. 25.58/25.01 523 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,A) -> (k1_xboole_0 != A -> m1_subset_1(k4_enumset1(B,C,D,E,F,G),k1_zfmisc_1(A))))))))))))))) # label(t60_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 524 (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]. 25.58/25.01 525 (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]. 25.58/25.01 526 (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]. 25.58/25.01 527 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_tarski(B,k3_subset_1(A,C)) & r1_tarski(B,C) -> B = k1_xboole_0))) # label(t40_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 528 $T # label(t24_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 529 (all A all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,A) -> (A != k1_xboole_0 -> m1_subset_1(k5_enumset1(B,C,D,E,F,G,H),k1_zfmisc_1(A))))))))))))))))) # label(t61_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 530 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) -> -(r2_hidden(B,k3_subset_1(A,C)) & r2_hidden(B,C)))) # label(t54_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 531 $T # label(t6_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 532 (all A exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_xboole_0(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 533 (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]. 25.58/25.01 534 (all A k1_subset_1(A) = k3_subset_1(A,k2_subset_1(A))) # label(t21_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 535 (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]. 25.58/25.01 536 (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]. 25.58/25.01 537 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> -r1_subset_1(A,A))) # label(irreflexivity_r1_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 538 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,B) <-> m2_subset_1(C,A,B))))) # label(redefinition_m2_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 539 (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)) -> B = k3_subset_1(A,C)))))) # label(t46_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 540 (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]. 25.58/25.01 541 $T # label(t37_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 542 (all A m1_subset_1(k8_subset_1(A),A)) # label(dt_k8_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 543 (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]. 25.58/25.01 544 (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]. 25.58/25.01 545 (all A m1_subset_1(k1_xboole_0,k1_zfmisc_1(A))) # label(t4_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 546 (all A m1_subset_1(k2_subset_1(A),k1_zfmisc_1(A))) # label(dt_k2_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 547 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,A) -> (-r2_hidden(D,C) <-> r2_hidden(D,B)))) -> B = k3_subset_1(A,C)))))) # label(t51_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 548 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 549 (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]. 25.58/25.01 550 (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]. 25.58/25.01 551 (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]. 25.58/25.01 552 (all A k1_subset_1(A) = k1_xboole_0) # label(d3_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 553 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,B) -> r2_hidden(D,C))) -> r1_tarski(B,C)))))) # label(t48_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 554 (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]. 25.58/25.01 555 (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]. 25.58/25.01 556 (all A (-$T -> (all B (m1_subset_1(B,A) -> k8_subset_1(A) = B)))) # label(d6_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 557 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(A) -> (all C (m2_subset_1(C,A,B) -> m1_subset_1(C,A))))) # label(dt_m2_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 558 (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]. 25.58/25.01 559 (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]. 25.58/25.01 560 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k4_subset_1(A,B,k3_subset_1(A,B)) = k2_subset_1(A))) # label(t25_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 561 (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]. 25.58/25.01 562 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k5_xboole_0(B,C) = k7_subset_1(A,B,C))) # label(redefinition_k7_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 563 $T # label(t12_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 564 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,A) -> -(r2_hidden(D,B) <-> r2_hidden(D,C)))) -> B = k3_subset_1(A,C)))))) # label(t53_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 565 (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]. 25.58/25.01 566 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 567 (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]. 25.58/25.01 568 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (r1_tarski(k3_subset_1(A,B),B) <-> k2_subset_1(A) = B))) # label(t39_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 569 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> B = k3_subset_1(A,k3_subset_1(A,B)))) # label(involutiveness_k3_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 570 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_xboole_0(B,k3_subset_1(A,C)) <-> r1_tarski(B,C)))))) # label(t44_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 571 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 572 (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) -> (k1_xboole_0 != A -> m1_subset_1(k3_enumset1(B,C,D,E,F),k1_zfmisc_1(A))))))))))))) # label(t59_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 573 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,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]. 25.58/25.01 574 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 575 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)) -> k4_subset_1(A,B,B) = B)) # label(idempotence_k4_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 576 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> (r1_xboole_0(A,B) <-> r1_subset_1(A,B)))) # label(redefinition_r1_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 577 $T # label(t2_subset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 578 (all A all B (v1_setfam_1(A) & v1_setfam_1(B) -> v1_setfam_1(k2_xboole_0(A,B)))) # label(fc4_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 579 (all A all B (r2_setfam_1(A,B) <-> (all C -(r2_hidden(C,B) & (all D -(r1_tarski(D,C) & r2_hidden(D,A))))))) # label(d3_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 580 $T # label(dt_k1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 581 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_xboole_0(B) -> v1_xboole_0(k7_setfam_1(A,B)))) # label(fc1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 582 (all A ((all B (-v1_xboole_0(B) -> -r2_hidden(B,A))) <-> v2_setfam_1(A))) # label(d11_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 583 $T # label(t22_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 584 (all A all B -(A != k1_xboole_0 & k1_setfam_1(k2_xboole_0(A,B)) != k3_xboole_0(k1_setfam_1(A),k1_setfam_1(B)) & k1_xboole_0 != B)) # label(t10_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 585 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r1_tarski(k7_setfam_1(A,B),C) <-> r1_tarski(B,k7_setfam_1(A,C))))))) # label(t52_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 586 (all A (r1_setfam_1(A,k1_xboole_0) -> A = k1_xboole_0)) # label(t21_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 587 (all A r1_setfam_1(k3_setfam_1(A,A),A)) # label(t30_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 588 $T # label(d7_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 589 $T # label(t16_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 590 (all A all B all C (r1_tarski(C,k3_tarski(k2_xboole_0(A,B))) & (all D (r2_hidden(D,B) -> r1_xboole_0(D,C))) -> r1_tarski(C,k3_tarski(A)))) # label(t57_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 591 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> m1_subset_1(k5_setfam_1(A,B),k1_zfmisc_1(A)))) # label(dt_k5_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 592 $T # label(t43_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 593 (all A all B (r1_tarski(A,B) -> r1_setfam_1(A,B))) # label(t17_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 594 (all A all B (r1_setfam_1(B,k1_tarski(A)) -> (all C (r2_hidden(C,B) -> r1_tarski(C,A))))) # label(t24_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 595 (all A (v1_setfam_1(A) <-> -r2_hidden(k1_xboole_0,A))) # label(d9_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 596 (all A all B all C ((all D (r2_hidden(D,C) <-> (exists E exists F (r2_hidden(F,B) & D = k3_xboole_0(E,F) & r2_hidden(E,A))))) <-> k3_setfam_1(A,B) = C)) # label(d5_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 597 (all A all B all C (r2_hidden(A,B) & r1_xboole_0(A,C) -> r1_xboole_0(k1_setfam_1(B),C))) # label(t9_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 598 (all A all B (k1_xboole_0 != B -> k3_tarski(k4_setfam_1(k1_tarski(A),B)) = k4_xboole_0(A,k1_setfam_1(B)))) # label(t38_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 599 (all A A = k1_setfam_1(k1_tarski(A))) # label(t11_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 600 $T # label(t15_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 601 (all A r1_setfam_1(A,k2_setfam_1(A,A))) # label(t29_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 602 $T # label(dt_k2_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 603 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> -(B != k1_xboole_0 & k1_xboole_0 = k7_setfam_1(A,B)))) # label(t46_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 604 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (B != k1_xboole_0 -> k8_setfam_1(A,B) = k6_setfam_1(A,B)) & (B = k1_xboole_0 -> k8_setfam_1(A,B) = A))) # label(d10_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 605 (all A (v1_setfam_1(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> -v1_xboole_0(B))))) # label(cc1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 606 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k6_setfam_1(A,B) = k1_setfam_1(B))) # label(redefinition_k6_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 607 $T # label(t13_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 608 $T # label(t42_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 609 $T # label(t26_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 610 (all A all B (B != k1_xboole_0 -> k4_xboole_0(A,k3_tarski(B)) = k1_setfam_1(k4_setfam_1(k1_tarski(A),B)))) # label(t37_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 611 (all A all B k3_setfam_1(A,B) = k3_setfam_1(B,A)) # label(commutativity_k3_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 612 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k1_xboole_0 != B -> k6_subset_1(A,k2_subset_1(A),k5_setfam_1(A,B)) = k6_setfam_1(A,k7_setfam_1(A,B))))) # label(t47_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 613 (all A all B (-r1_xboole_0(A,B) -> k1_setfam_1(k3_setfam_1(A,B)) = k3_xboole_0(k1_setfam_1(A),k1_setfam_1(B)))) # label(t34_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 614 (all A (r2_hidden(k1_xboole_0,A) -> k1_xboole_0 = k1_setfam_1(A))) # label(t5_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 615 (all A all B ((all C (r2_hidden(C,A) -> r1_tarski(B,C))) -> r1_tarski(B,k1_setfam_1(A)) | A = k1_xboole_0)) # label(t6_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 616 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> m1_subset_1(k7_setfam_1(A,B),k1_zfmisc_1(k1_zfmisc_1(A))))) # label(dt_k7_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 617 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k7_setfam_1(A,k7_setfam_1(A,B)) = B)) # label(involutiveness_k7_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 618 (all A all B k3_xboole_0(A,k3_tarski(B)) = k3_tarski(k3_setfam_1(k1_tarski(A),B))) # label(t36_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 619 (all A r1_setfam_1(k1_xboole_0,A)) # label(t20_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 620 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> k4_subset_1(k1_zfmisc_1(A),k7_setfam_1(A,B),k7_setfam_1(A,C)) = k7_setfam_1(A,k4_subset_1(k1_zfmisc_1(A),B,C)))))) # label(t54_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 621 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r2_hidden(k3_subset_1(A,C),k7_setfam_1(A,B)) <-> r2_hidden(C,B)))))) # label(t49_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 622 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k1_xboole_0 != B -> k6_subset_1(A,k2_subset_1(A),k6_setfam_1(A,B)) = k5_setfam_1(A,k7_setfam_1(A,B))))) # label(t48_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 623 (all A all B (r2_hidden(A,B) -> r1_tarski(k1_setfam_1(B),A))) # label(t4_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 624 (all A all B k1_setfam_1(k2_tarski(A,B)) = k3_xboole_0(A,B)) # label(t12_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 625 $T # label(dt_k3_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 626 (all A all B r1_tarski(k1_setfam_1(k4_setfam_1(A,B)),k4_xboole_0(k1_setfam_1(A),k1_setfam_1(B)))) # label(t41_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 627 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (B = k1_tarski(A) -> k7_setfam_1(A,B) = k1_tarski(k1_xboole_0)))) # label(t55_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 628 (all A all B (r1_setfam_1(A,B) -> r1_tarski(k3_tarski(A),k3_tarski(B)))) # label(t18_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 629 (all A (-v1_xboole_0(A) -> v1_setfam_1(k1_tarski(A)) & -v1_xboole_0(k1_tarski(A)))) # label(fc2_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 630 (all A all B r1_setfam_1(A,A)) # label(reflexivity_r1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 631 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r2_hidden(B,A) -> ((all D (r2_hidden(D,C) -> r2_hidden(B,D))) <-> r2_hidden(B,k8_setfam_1(A,C)))))) # label(t58_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 632 (all A r1_setfam_1(k4_setfam_1(A,A),A)) # label(t31_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 633 (all A (-v2_setfam_1(A) -> -v1_xboole_0(A))) # label(cc2_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 634 (all A all B all C (C = k2_setfam_1(A,B) <-> (all D ((exists E exists F (r2_hidden(E,A) & r2_hidden(F,B) & k2_xboole_0(E,F) = D)) <-> r2_hidden(D,C))))) # label(d4_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 635 $T # label(t50_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 636 $T # label(dt_k4_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 637 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k5_setfam_1(A,B) = k3_tarski(B))) # label(redefinition_k5_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 638 $T # label(t33_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 639 $T # label(t1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 640 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r1_tarski(B,C) -> r1_tarski(k8_setfam_1(A,C),k8_setfam_1(A,B))))))) # label(t59_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 641 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> m1_subset_1(k6_setfam_1(A,B),k1_zfmisc_1(A)))) # label(dt_k6_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 642 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> -v1_xboole_0(k2_tarski(A,B)) & v1_setfam_1(k2_tarski(A,B)))) # label(fc3_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 643 (all A all B (B != k1_xboole_0 -> k1_setfam_1(k2_setfam_1(k1_tarski(A),B)) = k2_xboole_0(A,k1_setfam_1(B)))) # label(t35_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 644 (exists A -v2_setfam_1(A)) # label(rc2_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 645 (all A all B -(-r1_tarski(k2_xboole_0(k1_setfam_1(A),k1_setfam_1(B)),k1_setfam_1(k2_setfam_1(A,B))) & k1_xboole_0 != B & A != k1_xboole_0)) # label(t40_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 646 (all A all B all C (r2_hidden(A,B) & r1_tarski(A,C) -> r1_tarski(k1_setfam_1(B),C))) # label(t8_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 647 (all A (-v2_setfam_1(A) -> (exists B (m1_subset_1(B,A) & -v1_xboole_0(B))))) # label(rc3_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 648 $T # label(t45_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 649 $T # label(t32_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 650 (all A all B ((all C -((all D -(r2_hidden(D,B) & r1_tarski(C,D))) & r2_hidden(C,A))) <-> r1_setfam_1(A,B))) # label(d2_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 651 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> ((all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,C) <-> r2_hidden(D,B)))) -> C = B))))) # label(t44_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 652 (all A all B all C ((all D ((exists E exists F (r2_hidden(E,A) & r2_hidden(F,B) & k4_xboole_0(E,F) = D)) <-> r2_hidden(D,C))) <-> C = k4_setfam_1(A,B))) # label(d6_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 653 $T # label(t27_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 654 (all A all B (r2_setfam_1(B,A) -> k1_xboole_0 = A | r1_tarski(k1_setfam_1(B),k1_setfam_1(A)))) # label(t19_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 655 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k7_setfam_1(A,C) = k7_setfam_1(A,B) -> B = C))))) # label(t53_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 656 (all A all B r2_setfam_1(B,B)) # label(reflexivity_r2_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 657 (all A all B all C (r2_hidden(C,A) & r1_tarski(k3_tarski(A),B) -> r1_tarski(C,B))) # label(t56_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 658 (all A all B all C (r1_setfam_1(B,C) & r1_setfam_1(A,B) -> r1_setfam_1(A,C))) # label(t23_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 659 (all A all B k2_setfam_1(B,A) = k2_setfam_1(A,B)) # label(commutativity_k2_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 660 (all A all B all C (r1_setfam_1(C,k2_tarski(A,B)) -> (all D -(r2_hidden(D,C) & -r1_tarski(D,A) & -r1_tarski(D,B))))) # label(t25_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 661 (all A all B (r1_tarski(A,B) -> r1_tarski(k1_setfam_1(B),k1_setfam_1(A)) | k1_xboole_0 = A)) # label(t7_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 662 (all A all B k3_xboole_0(k3_tarski(A),k3_tarski(B)) = k3_tarski(k3_setfam_1(A,B))) # label(t39_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 663 (all A r1_tarski(k1_setfam_1(A),k3_tarski(A))) # label(t3_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 664 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k7_setfam_1(A,B) = C <-> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(k3_subset_1(A,D),B) <-> r2_hidden(D,C))))))))) # label(d8_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 665 $T # label(t28_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 666 (all A all B ((k1_xboole_0 = A -> (B = k1_setfam_1(A) <-> k1_xboole_0 = B)) & (A != k1_xboole_0 -> ((all C ((all D (r2_hidden(D,A) -> r2_hidden(C,D))) <-> r2_hidden(C,B))) <-> B = k1_setfam_1(A))))) # label(d1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 667 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A)))) # label(dt_k8_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 668 $T # label(t14_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 669 (exists A (-v1_xboole_0(A) & v1_setfam_1(A))) # label(rc1_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 670 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r1_tarski(k7_setfam_1(A,B),k7_setfam_1(A,C)) -> r1_tarski(B,C)))))) # label(t51_setfam_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 671 (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]. 25.58/25.01 672 (all A all B all C -(r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) & v1_xboole_0(C))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 673 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(C)) & r2_hidden(A,B) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 674 (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]. 25.58/25.01 675 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 676 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k1_relat_1(k7_relat_1(C,B))) <-> r2_hidden(A,B) & r2_hidden(A,k1_relat_1(C))))) # label(t86_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 677 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r1_tarski(k1_relat_1(A),k2_relat_1(B)) -> k2_relat_1(k5_relat_1(B,A)) = k2_relat_1(A)))))) # label(t47_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 678 (all A (v1_xboole_0(A) -> v1_xboole_0(k4_relat_1(A)) & v1_relat_1(k4_relat_1(A)))) # label(fc11_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 679 (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]. 25.58/25.01 680 (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]. 25.58/25.01 681 (all A all B all C (v1_relat_1(C) -> k9_relat_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B)))) # label(t153_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 682 (all A all B all C all D (v1_relat_1(D) -> (r2_hidden(k4_tarski(A,B),k5_relat_1(k6_relat_1(C),D)) <-> r2_hidden(A,C) & r2_hidden(k4_tarski(A,B),D)))) # label(t74_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 683 (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]. 25.58/25.01 684 (all A (v1_relat_1(A) -> k1_xboole_0 = k9_relat_1(A,k1_xboole_0))) # label(t149_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 685 (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]. 25.58/25.01 686 (exists A (v1_relat_1(A) & -v1_xboole_0(A))) # label(rc2_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 687 (all A (v1_relat_1(A) -> k8_relat_1(k2_relat_1(A),A) = A)) # label(t126_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 688 (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]. 25.58/25.01 689 $T # label(t83_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 690 (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]. 25.58/25.01 691 $T # label(dt_k3_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 692 (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]. 25.58/25.01 693 (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]. 25.58/25.01 694 (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]. 25.58/25.01 695 (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]. 25.58/25.01 696 (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]. 25.58/25.01 697 (all A (v1_relat_1(A) -> (all B all C ((all D (r2_hidden(D,C) <-> (exists E (r2_hidden(k4_tarski(D,E),A) & r2_hidden(E,B))))) <-> C = k10_relat_1(A,B))))) # label(d14_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 698 (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]. 25.58/25.01 699 (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]. 25.58/25.01 700 (all A (v1_relat_1(A) -> A = k3_xboole_0(A,k2_zfmisc_1(k1_relat_1(A),k2_relat_1(A))))) # label(t22_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 701 (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]. 25.58/25.01 702 (all A (v1_relat_1(A) -> k1_xboole_0 = k10_relat_1(A,k1_xboole_0))) # label(t171_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 703 (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]. 25.58/25.01 704 (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]. 25.58/25.01 705 (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]. 25.58/25.01 706 (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]. 25.58/25.01 707 $T # label(t165_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 708 (all A v1_relat_1(k6_relat_1(A))) # label(dt_k6_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 709 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (r1_tarski(k1_relat_1(C),A) & r1_tarski(C,B) -> r1_tarski(C,k7_relat_1(B,A))))))) # label(t186_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 710 (all A all B (v1_relat_1(B) -> (r1_xboole_0(k2_relat_1(B),A) <-> k1_xboole_0 = k10_relat_1(B,A)))) # label(t173_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 711 (all A all B all C all D all E (v1_relat_1(E) -> (E = k2_tarski(k4_tarski(A,B),k4_tarski(C,D)) -> k2_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]. 25.58/25.01 712 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> ((all D all E (r2_hidden(k4_tarski(D,E),C) <-> r2_hidden(E,A) & r2_hidden(k4_tarski(D,E),B))) <-> k8_relat_1(A,B) = C))))) # label(d12_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 713 (all A all B (v1_relat_1(B) -> -(-v3_relat_1(k7_relat_1(B,A)) & v3_relat_1(B)))) # label(t190_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 714 (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]. 25.58/25.01 715 (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]. 25.58/25.01 716 $T # label(t12_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 717 (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]. 25.58/25.01 718 (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]. 25.58/25.01 719 (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]. 25.58/25.01 720 (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]. 25.58/25.01 721 (all A all B (v1_relat_1(B) -> k8_relat_1(A,k8_relat_1(A,B)) = k8_relat_1(A,B))) # label(t128_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 722 (all A all B all C (v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),C) -> r2_hidden(B,k3_relat_1(C)) & r2_hidden(A,k3_relat_1(C))))) # label(t30_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 723 (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]. 25.58/25.01 724 $T # label(t142_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 725 (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]. 25.58/25.01 726 $T # label(t58_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 727 (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]. 25.58/25.01 728 (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]. 25.58/25.01 729 (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]. 25.58/25.01 730 (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]. 25.58/25.01 731 (all A (v1_relat_1(A) -> k1_xboole_0 = k5_relat_1(A,k1_xboole_0) & k1_xboole_0 = k5_relat_1(k1_xboole_0,A))) # label(t62_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 732 (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]. 25.58/25.01 733 $T # label(t69_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.01 734 (all A k7_relat_1(k1_xboole_0,A) = k1_xboole_0) # label(t111_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 735 (all A all B all C (v1_relat_1(C) -> k10_relat_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k10_relat_1(C,A),k10_relat_1(C,B)))) # label(t175_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 736 (all A (v1_relat_1(A) -> (all B all C ((all D (r2_hidden(D,C) <-> (exists E (r2_hidden(k4_tarski(E,D),A) & r2_hidden(E,B))))) <-> C = k9_relat_1(A,B))))) # label(d13_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 737 (all A all B all C (v1_relat_1(C) -> k7_relat_1(C,k3_xboole_0(A,B)) = k7_relat_1(k7_relat_1(C,A),B))) # label(t100_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 738 (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]. 25.58/25.02 739 (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,A),B)))) # label(t102_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 740 (all A all B (v1_relat_1(B) -> k3_xboole_0(B,k2_zfmisc_1(k1_relat_1(B),A)) = k8_relat_1(A,B))) # label(t124_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 741 (all A all B all C (v1_relat_1(C) -> (r1_tarski(A,B) -> k8_relat_1(A,k8_relat_1(B,C)) = k8_relat_1(A,C)))) # label(t130_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 742 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (B = k4_relat_1(A) <-> (all C all D (r2_hidden(k4_tarski(C,D),B) <-> r2_hidden(k4_tarski(D,C),A)))))))) # label(d7_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 743 $T # label(t57_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 744 $T # label(t164_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 745 (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]. 25.58/25.02 746 (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]. 25.58/25.02 747 $T # label(t61_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 748 (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]. 25.58/25.02 749 (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]. 25.58/25.02 750 (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]. 25.58/25.02 751 (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]. 25.58/25.02 752 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (A = B <-> (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]. 25.58/25.02 753 $T # label(dt_k9_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 754 $T # label(t16_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 755 (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]. 25.58/25.02 756 (all A all B (v1_relat_1(B) -> -(A != k1_xboole_0 & 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]. 25.58/25.02 757 (all A all B (v1_relat_1(B) -> k9_relat_1(B,A) = k9_relat_1(B,k3_xboole_0(k1_relat_1(B),A)))) # label(t145_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 758 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k3_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k3_relat_1(A),k3_relat_1(B)))))) # label(t33_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 759 (all A all B all C all D (v1_relat_1(D) -> (r2_hidden(k4_tarski(A,B),k5_relat_1(D,k6_relat_1(C))) <-> r2_hidden(k4_tarski(A,B),D) & r2_hidden(B,C)))) # label(t75_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 760 (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]. 25.58/25.02 761 (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]. 25.58/25.02 762 (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]. 25.58/25.02 763 (all A (v1_relat_1(A) <-> (all B -((all C all D B != k4_tarski(C,D)) & r2_hidden(B,A))))) # label(d1_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 764 $T # label(t42_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 765 (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]. 25.58/25.02 766 (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]. 25.58/25.02 767 (all A all B (v1_relat_1(A) & v1_relat_1(B) -> v1_relat_1(k2_xboole_0(A,B)))) # label(fc2_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 768 (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]. 25.58/25.02 769 (all A all B (v1_relat_1(B) -> k10_relat_1(B,A) = k10_relat_1(B,k3_xboole_0(k2_relat_1(B),A)))) # label(t168_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 770 $T # label(t35_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 771 (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]. 25.58/25.02 772 (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]. 25.58/25.02 773 (all A all B all C (v1_relat_1(C) -> ((exists D (r2_hidden(D,k1_relat_1(C)) & r2_hidden(k4_tarski(D,A),C) & r2_hidden(D,B))) <-> r2_hidden(A,k9_relat_1(C,B))))) # label(t143_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 774 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k2_relat_1(k2_xboole_0(A,B)) = k2_xboole_0(k2_relat_1(A),k2_relat_1(B)))))) # label(t26_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 775 $T # label(t113_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 776 (all A all B (v1_relat_1(B) -> (r1_tarski(A,k2_relat_1(B)) -> k2_relat_1(k8_relat_1(A,B)) = A))) # label(t120_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 777 (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]. 25.58/25.02 778 (all A (v1_relat_1(A) -> k2_relat_1(A) = k1_relat_1(k4_relat_1(A)) & k2_relat_1(k4_relat_1(A)) = k1_relat_1(A))) # label(t37_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 779 (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]. 25.58/25.02 780 $T # label(dt_k2_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 781 $T # label(t2_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 782 (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]. 25.58/25.02 783 (all A all B all C (v1_relat_1(C) -> k8_relat_1(A,k7_relat_1(C,B)) = k7_relat_1(k8_relat_1(A,C),B))) # label(t140_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 784 (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]. 25.58/25.02 785 $T # label(t1_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 786 $T # label(t141_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 787 (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]. 25.58/25.02 788 (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]. 25.58/25.02 789 (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]. 25.58/25.02 790 (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]. 25.58/25.02 791 (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]. 25.58/25.02 792 (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]. 25.58/25.02 793 (all A (v1_relat_1(A) -> k10_relat_1(A,k2_relat_1(A)) = k1_relat_1(A))) # label(t169_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 794 (all A k4_relat_1(k6_relat_1(A)) = k6_relat_1(A)) # label(t72_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 795 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k1_relat_1(k5_relat_1(A,B)) = k10_relat_1(A,k1_relat_1(B)))))) # label(t182_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 796 $T # label(t114_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 797 (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]. 25.58/25.02 798 (all A (v1_relat_1(A) -> k3_relat_1(A) = k2_xboole_0(k1_relat_1(A),k2_relat_1(A)))) # label(d6_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 799 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r1_tarski(k2_relat_1(A),k1_relat_1(B)) -> k1_relat_1(k5_relat_1(A,B)) = k1_relat_1(A)))))) # label(t46_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 800 (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]. 25.58/25.02 801 (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]. 25.58/25.02 802 (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]. 25.58/25.02 803 (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]. 25.58/25.02 804 (all A (v1_relat_1(A) -> k7_relat_1(A,k1_relat_1(A)) = A)) # label(t98_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 805 (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]. 25.58/25.02 806 (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]. 25.58/25.02 807 (all A all B (v3_relat_1(A) & v1_relat_1(A) -> v1_relat_1(k7_relat_1(A,B)) & v3_relat_1(k7_relat_1(A,B)))) # label(fc13_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 808 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k8_relat_1(A,k5_relat_1(B,C)) = k5_relat_1(B,k8_relat_1(A,C)))))) # label(t139_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 809 (all A all B (v1_relat_1(B) -> (r1_xboole_0(k1_relat_1(B),A) <-> k9_relat_1(B,A) = k1_xboole_0))) # label(t151_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 810 $T # label(t8_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 811 $T # label(t43_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 812 (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]. 25.58/25.02 813 (all A (v1_relat_1(A) & -v1_xboole_0(A) -> -v1_xboole_0(k1_relat_1(A)))) # label(fc5_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 814 (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]. 25.58/25.02 815 $T # label(t85_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 816 (all A (v1_relat_1(A) -> (all B (r1_xboole_0(B,k1_relat_1(A)) -> k1_xboole_0 = k7_relat_1(A,B))))) # label(t187_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 817 (all A k10_relat_1(k1_xboole_0,A) = k1_xboole_0) # label(t172_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 818 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k4_relat_1(k4_xboole_0(A,B)) = k4_xboole_0(k4_relat_1(A),k4_relat_1(B)))))) # label(t41_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 819 $T # label(t162_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 820 (all A (v1_relat_1(A) -> k2_relat_1(A) = k9_relat_1(A,k1_relat_1(A)))) # label(t146_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 821 (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]. 25.58/25.02 822 $T # label(t36_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 823 (all A (v1_relat_1(A) -> k5_relat_1(A,k6_relat_1(k2_relat_1(A))) = A)) # label(t80_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 824 (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]. 25.58/25.02 825 (all A k1_xboole_0 = k9_relat_1(k1_xboole_0,A)) # label(t150_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 826 $T # label(t17_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 827 (all A all B all C (v1_relat_1(C) -> (r1_tarski(A,B) -> k7_relat_1(k7_relat_1(C,B),A) = k7_relat_1(C,A)))) # label(t103_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 828 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k10_relat_1(C,B)) <-> (exists D (r2_hidden(D,k2_relat_1(C)) & r2_hidden(D,B) & r2_hidden(k4_tarski(A,D),C)))))) # label(t166_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 829 (all A (v1_relat_1(A) -> (k1_xboole_0 = k1_relat_1(A) | k1_xboole_0 = k2_relat_1(A) -> A = k1_xboole_0))) # label(t64_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 830 (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]. 25.58/25.02 831 (exists A (v1_xboole_0(A) & v1_relat_1(A))) # label(rc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 832 (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]. 25.58/25.02 833 (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]. 25.58/25.02 834 (all A (v1_relat_1(A) -> (all B (B = k2_relat_1(A) <-> (all C (r2_hidden(C,B) <-> (exists D r2_hidden(k4_tarski(D,C),A)))))))) # label(d5_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 835 (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]. 25.58/25.02 836 $T # label(t59_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 837 $T # label(t70_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 838 (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]. 25.58/25.02 839 $T # label(t7_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 840 (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]. 25.58/25.02 841 (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]. 25.58/25.02 842 (all A (v1_xboole_0(A) -> v1_xboole_0(k2_relat_1(A)) & v1_relat_1(k2_relat_1(A)))) # label(fc8_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 843 (all A all B all C (v1_relat_1(C) -> k8_relat_1(k4_xboole_0(A,B),C) = k4_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C)))) # label(t136_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 844 (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]. 25.58/25.02 845 (all A all B all C (v1_relat_1(C) -> k7_relat_1(C,k3_xboole_0(A,B)) = k3_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B)))) # label(t108_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 846 $T # label(t84_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 847 (all A (v1_relat_1(A) -> v1_relat_1(k4_relat_1(A)))) # label(dt_k4_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 848 (all A all B (v1_relat_1(B) -> k8_relat_1(A,B) = k5_relat_1(B,k6_relat_1(A)))) # label(t123_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 849 $T # label(dt_k10_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 850 (all A all B (v1_relat_1(B) -> r1_tarski(k5_relat_1(k6_relat_1(A),B),B) & r1_tarski(k5_relat_1(B,k6_relat_1(A)),B))) # label(t76_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 851 (all A all B all C (v1_relat_1(C) -> (r1_tarski(A,B) -> k8_relat_1(B,k8_relat_1(A,C)) = k8_relat_1(A,C)))) # label(t129_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 852 (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]. 25.58/25.02 853 (exists A (v1_relat_1(A) & v3_relat_1(A))) # label(rc3_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 854 (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]. 25.58/25.02 855 (all A (v1_relat_1(A) -> ((all B all C -r2_hidden(k4_tarski(B,C),A)) -> k1_xboole_0 = A))) # label(t56_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 856 (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]. 25.58/25.02 857 (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]. 25.58/25.02 858 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C all D (k7_relat_1(B,D) = k7_relat_1(A,D) & r1_tarski(C,D) -> k7_relat_1(A,C) = k7_relat_1(B,C))))))) # label(t188_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 859 (all A k8_relat_1(A,k1_xboole_0) = k1_xboole_0) # label(t138_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 860 (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]. 25.58/25.02 861 (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]. 25.58/25.02 862 (all A all B (v1_relat_1(B) -> -(A != k1_xboole_0 & k10_relat_1(B,A) = k1_xboole_0 & r1_tarski(A,k2_relat_1(B))))) # label(t174_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 863 (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]. 25.58/25.02 864 (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]. 25.58/25.02 865 (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]. 25.58/25.02 866 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> k9_relat_1(k5_relat_1(B,C),A) = k9_relat_1(C,k9_relat_1(B,A)))))) # label(t159_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 867 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 868 (all A all B v1_relat_1(k2_zfmisc_1(A,B))) # label(t6_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 869 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> k7_relat_1(A,k1_relat_1(k7_relat_1(B,k1_relat_1(A)))) = k7_relat_1(A,k1_relat_1(B)))))) # label(t189_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 870 (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]. 25.58/25.02 871 (all A all B v1_relat_1(k1_tarski(k4_tarski(A,B)))) # label(t4_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 872 (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]. 25.58/25.02 873 (all A (v1_relat_1(A) -> (k1_relat_1(A) = k1_xboole_0 <-> k2_relat_1(A) = k1_xboole_0))) # label(t65_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 874 (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]. 25.58/25.02 875 $T # label(t68_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 876 (all A all B (v1_relat_1(A) & v1_relat_1(B) -> v1_relat_1(k3_xboole_0(A,B)))) # label(fc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 877 (all A (v1_relat_1(A) -> (v3_relat_1(A) <-> (all B (r2_hidden(B,k2_relat_1(A)) -> k1_xboole_0 = B))))) # label(t184_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 878 (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]. 25.58/25.02 879 (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]. 25.58/25.02 880 (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]. 25.58/25.02 881 (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]. 25.58/25.02 882 (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]. 25.58/25.02 883 (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]. 25.58/25.02 884 (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]. 25.58/25.02 885 (exists A (v1_relat_1(A) & (all B all C (r2_hidden(k4_tarski(B,C),A) <-> r2_hidden(B,f1_s1_relat_1) & r2_hidden(C,f2_s1_relat_1) & p1_s1_relat_1(B,C))))) # label(s1_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 886 (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]. 25.58/25.02 887 (all A all B all C (v1_relat_1(C) -> (k1_tarski(k4_tarski(A,B)) = C -> k1_tarski(B) = k2_relat_1(C) & k1_relat_1(C) = k1_tarski(A)))) # label(t23_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 888 (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]. 25.58/25.02 889 (all A all B all C (v1_relat_1(C) -> k7_relat_1(C,k2_xboole_0(A,B)) = k2_xboole_0(k7_relat_1(C,A),k7_relat_1(C,B)))) # label(t107_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 890 (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]. 25.58/25.02 891 (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]. 25.58/25.02 892 (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]. 25.58/25.02 893 (all A (v1_relat_1(A) -> (all B all C (v1_relat_1(C) -> ((all D all E (r2_hidden(k4_tarski(D,E),C) <-> r2_hidden(D,B) & r2_hidden(k4_tarski(D,E),A))) <-> k7_relat_1(A,B) = C))))) # label(d11_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 894 (all A all B (v1_relat_1(B) -> ((all C all D (r2_hidden(C,A) & C = D <-> r2_hidden(k4_tarski(C,D),B))) <-> k6_relat_1(A) = B))) # label(d10_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 895 (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]. 25.58/25.02 896 $T # label(t63_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 897 $T # label(t11_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 898 (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]. 25.58/25.02 899 (all A (v1_xboole_0(A) -> v1_relat_1(A))) # label(cc1_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 900 (all A all B (v1_relat_1(B) -> (r1_tarski(k2_relat_1(B),A) -> B = k5_relat_1(B,k6_relat_1(A))))) # label(t79_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 901 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (k5_relat_1(A,B) = C <-> (all D all E ((exists F (r2_hidden(k4_tarski(F,E),B) & r2_hidden(k4_tarski(D,F),A))) <-> r2_hidden(k4_tarski(D,E),C)))))))))) # label(d8_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 902 (all A all B all C (v1_relat_1(C) -> k2_xboole_0(k8_relat_1(A,C),k8_relat_1(B,C)) = k8_relat_1(k2_xboole_0(A,B),C))) # label(t134_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 903 (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]. 25.58/25.02 904 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (all D (v1_relat_1(D) -> (r1_tarski(k2_relat_1(C),A) & k5_relat_1(C,B) = k6_relat_1(k1_relat_1(D)) & k6_relat_1(A) = k5_relat_1(B,D) & k1_relat_1(B) = A -> D = C))))))) # label(t82_relat_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 905 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (B = k2_relat_1(A) <-> (all C ((exists D (r2_hidden(D,k1_relat_1(A)) & k1_funct_1(A,D) = C)) <-> r2_hidden(C,B))))))) # label(d5_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 906 $T # label(t75_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 907 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (A = k1_relat_1(C) & v2_funct_1(B) & B = k5_relat_1(C,B) & r1_tarski(k2_relat_1(C),A) & A = k1_relat_1(B) -> k6_relat_1(A) = C))))) # label(t50_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 908 $T # label(t74_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 909 (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]. 25.58/25.02 910 $T # label(t100_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 911 $T # label(t106_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 912 (exists A (v1_funct_1(A) & v2_relat_1(A) & v1_relat_1(A))) # label(rc5_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 913 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(A,B) -> k7_relat_1(C,A) = k7_relat_1(k7_relat_1(C,B),A) & k7_relat_1(k7_relat_1(C,A),B) = k7_relat_1(C,A)))) # label(t82_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 914 $T # label(t24_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 915 $T # label(t116_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 916 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(B) & v2_funct_1(A) -> v2_funct_1(k5_relat_1(A,B))))))) # label(t46_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 917 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(A) & k1_relat_1(A) = k2_relat_1(B) & 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]. 25.58/25.02 918 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,k1_relat_1(C)) & r2_hidden(k1_funct_1(C,B),A) <-> r2_hidden(B,k1_relat_1(k5_relat_1(C,k6_relat_1(A))))))) # label(t40_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 919 $T # label(t133_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 920 (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)) -> k1_funct_1(B,C) = k1_funct_1(A,C))) -> B = A))))) # label(t9_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 921 (all A (v1_funct_1(A) & v1_relat_1(A) -> k5_relat_1(k6_relat_1(k1_relat_1(A)),A) = A & A = k5_relat_1(A,k6_relat_1(k2_relat_1(A))))) # label(t42_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 922 $T # label(t41_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 923 $T # label(t29_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 924 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_relat_1(A) = k2_relat_1(B) & v2_funct_1(k5_relat_1(B,A)) -> v2_funct_1(A) & v2_funct_1(B)))))) # label(t48_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 925 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,k1_relat_1(k8_relat_1(A,C))) <-> r2_hidden(k1_funct_1(C,B),A) & r2_hidden(B,k1_relat_1(C))))) # label(t86_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 926 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_funct_1(A) <-> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_relat_1(C),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(B),k1_relat_1(A)) -> C = B)))))))) # label(t49_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 927 (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]. 25.58/25.02 928 (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]. 25.58/25.02 929 $T # label(d2_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 930 $T # label(t102_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 931 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(B) & v2_funct_1(A) -> k2_funct_1(k5_relat_1(A,B)) = k5_relat_1(k2_funct_1(B),k2_funct_1(A))))))) # label(t66_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 932 $T # label(t5_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 933 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k1_relat_1(k5_relat_1(k6_relat_1(A),B)) = k3_xboole_0(k1_relat_1(B),A))) # label(t37_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 934 $T # label(d11_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 935 $T # label(t115_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 936 (exists A (v1_funct_1(A) & (all B (m1_subset_1(B,f1_s4_funct_1) -> f2_s4_funct_1(B) = k1_funct_1(A,B))) & k1_relat_1(A) = f1_s4_funct_1 & v1_relat_1(A))) # label(s4_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 937 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(B,k3_xboole_0(k1_relat_1(C),A)) -> k1_funct_1(k5_relat_1(k6_relat_1(A),C),B) = k1_funct_1(C,B)))) # label(t38_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 938 $T # label(t101_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 939 $T # label(t69_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 940 $T # label(t88_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 941 $T # label(t114_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 942 $T # label(t131_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 943 $T # label(t31_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 944 $T # label(t96_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 945 $T # label(t128_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 946 $T # label(t93_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 947 (all A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) -> v1_relat_1(A) & v2_funct_1(A) & v1_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 948 (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]. 25.58/25.02 949 $T # label(t6_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 950 (all A all B all C (v1_relat_1(C) & v1_funct_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]. 25.58/25.02 951 (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]. 25.58/25.02 952 $T # label(t90_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 953 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) -> k4_relat_1(A) = k2_funct_1(A)))) # label(d9_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 954 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k10_relat_1(C,A),k10_relat_1(C,B)) & r1_tarski(A,k2_relat_1(C)) -> r1_tarski(A,B)))) # label(t158_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 955 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (v2_funct_1(C) -> k9_relat_1(C,k3_xboole_0(A,B)) = k3_xboole_0(k9_relat_1(C,A),k9_relat_1(C,B))))) # label(t121_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 956 (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]. 25.58/25.02 957 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> ((all C -((all D -(k1_funct_1(B,D) = C & r2_hidden(D,k1_relat_1(B)))) & r2_hidden(C,A))) -> r1_tarski(A,k2_relat_1(B))))) # label(t19_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 958 $T # label(t105_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 959 $T # label(t39_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.02 960 (exists A ((all B (r2_hidden(B,f1_s3_funct_1) -> k1_funct_1(A,B) = f2_s3_funct_1(B))) & f1_s3_funct_1 = k1_relat_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(s3_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 961 (exists A (v1_relat_1(A) & v2_funct_1(A) & v1_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 962 $T # label(t129_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 963 $T # label(t7_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 964 (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]. 25.58/25.03 965 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) -> k2_relat_1(A) = k1_relat_1(k5_relat_1(k2_funct_1(A),A)) & k2_relat_1(A) = k2_relat_1(k5_relat_1(k2_funct_1(A),A))))) # label(t59_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 966 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k1_relat_1(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]. 25.58/25.03 967 $T # label(t3_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 968 (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(k5_relat_1(B,A)) -> r1_tarski(k2_relat_1(B),k1_relat_1(A))))))) # label(t27_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 969 (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]. 25.58/25.03 970 (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]. 25.58/25.03 971 (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]. 25.58/25.03 972 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C ((all D (r2_hidden(k1_funct_1(A,D),B) & r2_hidden(D,k1_relat_1(A)) <-> r2_hidden(D,C))) <-> k10_relat_1(A,B) = C)))) # label(d13_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 973 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((all B all C k9_relat_1(A,k4_xboole_0(B,C)) = k4_xboole_0(k9_relat_1(A,B),k9_relat_1(A,C))) -> v2_funct_1(A)))) # label(t124_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 974 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> r1_tarski(k9_relat_1(C,k3_xboole_0(A,k10_relat_1(C,B))),k3_xboole_0(k9_relat_1(C,A),B)))) # label(t149_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 975 (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]. 25.58/25.03 976 (all A all B (v1_relat_1(B) & v1_funct_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]. 25.58/25.03 977 $T # label(t95_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 978 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) -> k2_relat_1(k2_funct_1(A)) = k1_relat_1(A) & k2_relat_1(A) = k1_relat_1(k2_funct_1(A))))) # label(t55_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 979 (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]. 25.58/25.03 980 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_relat_1(A) <-> (all B -(r2_hidden(B,k1_relat_1(A)) & v1_xboole_0(k1_funct_1(A,B))))))) # label(d15_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 981 $T # label(d10_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 982 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (k6_relat_1(A) = B <-> (all C (r2_hidden(C,A) -> k1_funct_1(B,C) = C)) & k1_relat_1(B) = A))) # label(t34_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 983 (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_funct_1(A) = B <-> k2_relat_1(A) = k1_relat_1(B) & (all C all D ((D = k1_funct_1(B,C) & r2_hidden(C,k2_relat_1(A)) -> r2_hidden(D,k1_relat_1(A)) & C = k1_funct_1(A,D)) & (C = k1_funct_1(A,D) & r2_hidden(D,k1_relat_1(A)) -> k1_funct_1(B,C) = D & r2_hidden(C,k2_relat_1(A))))))))))) # label(t54_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 984 $T # label(t45_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 985 $T # label(t104_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 986 (all A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) -> v1_funct_1(k4_relat_1(A)) & v1_relat_1(k4_relat_1(A)))) # label(fc3_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 987 $T # label(t108_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 988 (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]. 25.58/25.03 989 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(A) & k1_relat_1(A) = k2_relat_1(B) & (all C all D (r2_hidden(C,k1_relat_1(A)) & r2_hidden(D,k1_relat_1(B)) -> (k1_funct_1(B,D) = C <-> D = k1_funct_1(A,C)))) & k1_relat_1(B) = k2_relat_1(A) -> k2_funct_1(A) = B))))) # label(t60_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 990 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k9_relat_1(k6_relat_1(A),B) = B)) # label(t162_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 991 $T # label(t110_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 992 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k5_relat_1(B,C) = k5_relat_1(B,D) & A = k1_relat_1(D) & A = k1_relat_1(C) & k2_relat_1(B) = A -> D = C))))))) # label(t156_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 993 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (v2_funct_1(C) & r1_tarski(A,k1_relat_1(C)) & r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B)) -> r1_tarski(A,B)))) # label(t157_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 994 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(k4_tarski(A,B),C) <-> r2_hidden(A,k1_relat_1(C)) & B = k1_funct_1(C,A)))) # label(t8_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 995 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) -> k6_relat_1(k1_relat_1(A)) = k5_relat_1(A,k2_funct_1(A)) & k6_relat_1(k2_relat_1(A)) = k5_relat_1(k2_funct_1(A),A)))) # label(t61_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 996 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(A) & k5_relat_1(A,B) = k6_relat_1(k1_relat_1(A)) & k1_relat_1(B) = k2_relat_1(A) -> B = k2_funct_1(A)))))) # label(t63_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 997 $T # label(t103_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 998 (exists A (v1_xboole_0(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 999 $T # label(t94_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1000 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,k1_relat_1(C)) & r2_hidden(B,A) -> r2_hidden(k1_funct_1(C,B),k2_relat_1(k7_relat_1(C,A)))))) # label(t73_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1001 $T # label(t13_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1002 $T # label(t78_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1003 $T # label(t11_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1004 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_funct_1(B) & v1_relat_1(B) -> v1_relat_1(k5_relat_1(A,B)) & v1_funct_1(k5_relat_1(A,B)))) # label(fc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1005 (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]. 25.58/25.03 1006 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k2_relat_1(B)) & v2_funct_1(B) -> 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) = A))) # label(t57_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1007 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B exists C r1_tarski(k10_relat_1(A,k1_tarski(B)),k1_tarski(C))) <-> v2_funct_1(A)))) # label(t159_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1008 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_relat_1(B) = k1_tarski(A) -> k2_relat_1(B) = k1_tarski(k1_funct_1(B,A))))) # label(t14_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1009 $T # label(t112_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1010 (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]. 25.58/25.03 1011 (all A ((all B all C all D (r2_hidden(k4_tarski(B,D),A) & r2_hidden(k4_tarski(B,C),A) -> C = D)) & (all B -(r2_hidden(B,A) & (all C all D B != k4_tarski(C,D)))) -> v1_relat_1(A) & v1_funct_1(A))) # label(t2_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1012 (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]. 25.58/25.03 1013 (all A all B all C (p1_s1_funct_1(A,C) & p1_s1_funct_1(A,B) -> C = B)) -> (exists A ((all B all C (r2_hidden(k4_tarski(B,C),A) <-> r2_hidden(B,f1_s1_funct_1) & p1_s1_funct_1(B,C))) & v1_funct_1(A) & v1_relat_1(A))) # label(s1_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1014 (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]. 25.58/25.03 1015 $T # label(t10_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1016 (all A ((all B all C all D (r2_hidden(k4_tarski(B,D),A) & r2_hidden(k4_tarski(B,C),A) -> C = D)) <-> v1_funct_1(A))) # label(d1_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1017 $T # label(t140_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1018 $T # label(t91_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1019 $T # label(t132_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1020 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C (k9_relat_1(A,B) = C <-> (all D (r2_hidden(D,C) <-> (exists E (r2_hidden(E,k1_relat_1(A)) & D = k1_funct_1(A,E) & r2_hidden(E,B))))))))) # label(d12_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1021 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((exists B (v1_funct_1(B) & k5_relat_1(A,B) = k6_relat_1(k1_relat_1(A)) & v1_relat_1(B))) -> v2_funct_1(A)))) # label(t53_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1022 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(A,B) -> k8_relat_1(A,C) = k8_relat_1(B,k8_relat_1(A,C)) & k8_relat_1(A,k8_relat_1(B,C)) = k8_relat_1(A,C)))) # label(t97_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1023 $T # label(t113_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1024 $T # label(d6_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1025 $T # label(t92_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1026 $T # label(t81_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1027 $T # label(t83_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1028 $T # label(t141_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1029 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> ((all D (r2_hidden(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))) -> k5_relat_1(A,B) = C))))))) # label(t20_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1030 $T # label(t134_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1031 $T # label(t28_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1032 $T # label(t1_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1033 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k1_relat_1(C)) & r2_hidden(k1_funct_1(C,A),k1_relat_1(B)) <-> r2_hidden(A,k1_relat_1(k5_relat_1(C,B)))))))) # label(t21_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1034 (all A (v1_relat_1(k6_relat_1(A)) & v1_funct_1(k6_relat_1(A)))) # label(fc2_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1035 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k9_relat_1(B,k10_relat_1(B,A)) = k3_xboole_0(A,k9_relat_1(B,k1_relat_1(B))))) # label(t148_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1036 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_funct_1(A) -> A = k2_funct_1(k2_funct_1(A))))) # label(t65_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1037 (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]. 25.58/25.03 1038 (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]. 25.58/25.03 1039 $T # label(t36_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1040 (all A (k1_xboole_0 != A -> (all B exists C (v1_relat_1(C) & v1_funct_1(C) & k1_tarski(B) = k2_relat_1(C) & A = k1_relat_1(C))))) # label(t15_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1041 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_funct_1(A) <-> (all B all C (r2_hidden(C,k1_relat_1(A)) & k1_funct_1(A,B) = k1_funct_1(A,C) & r2_hidden(B,k1_relat_1(A)) -> B = C))))) # label(d8_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1042 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> ((all D (r2_hidden(k1_funct_1(C,D),A) & r2_hidden(D,k1_relat_1(C)) <-> r2_hidden(D,k1_relat_1(B)))) & (all D (r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(B,D) = k1_funct_1(C,D))) <-> B = k8_relat_1(A,C)))))) # label(t85_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1043 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(k2_relat_1(B),A) & (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (A = k1_relat_1(C) & A = k1_relat_1(D) & k5_relat_1(B,C) = k5_relat_1(B,D) -> D = C))))) -> A = k2_relat_1(B)))) # label(t33_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1044 $T # label(t135_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1045 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1046 (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]. 25.58/25.03 1047 (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]. 25.58/25.03 1048 (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]. 25.58/25.03 1049 (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]. 25.58/25.03 1050 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(A,k2_relat_1(k5_relat_1(C,B))) -> r2_hidden(A,k2_relat_1(B))))))) # label(t25_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1051 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,k3_xboole_0(k1_relat_1(C),A)) -> k1_funct_1(k7_relat_1(C,A),B) = k1_funct_1(C,B)))) # label(t71_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1052 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v2_funct_1(A) -> k1_relat_1(A) = k2_relat_1(k5_relat_1(A,k2_funct_1(A))) & k1_relat_1(A) = k1_relat_1(k5_relat_1(A,k2_funct_1(A)))))) # label(t58_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1053 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(B)) & v2_funct_1(B) -> A = k1_funct_1(k2_funct_1(B),k1_funct_1(B,A)) & A = k1_funct_1(k5_relat_1(B,k2_funct_1(B)),A)))) # label(t56_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1054 $T # label(t79_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1055 $T # label(t119_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1056 $T # label(t26_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1057 (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]. 25.58/25.03 1058 $T # label(d7_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1059 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(B)) -> k1_tarski(k1_funct_1(B,A)) = k9_relat_1(B,k1_tarski(A))))) # label(t117_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1060 (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 & k1_xboole_0 != B))) # label(t18_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1061 (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]. 25.58/25.03 1062 (all A ((all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (A = k1_relat_1(C) & A = k1_relat_1(B) -> B = C))))) -> A = k1_xboole_0)) # label(t16_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1063 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(B,k2_relat_1(C)) & r1_tarski(A,k2_relat_1(C)) & k10_relat_1(C,B) = k10_relat_1(C,A) -> A = B))) # label(t161_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1064 (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]. 25.58/25.03 1065 $T # label(t130_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1066 (exists A (v1_relat_1(A) & v1_funct_1(A) & v3_relat_1(A))) # label(rc4_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1067 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C ((r2_hidden(B,k1_relat_1(A)) -> (r2_hidden(k4_tarski(B,C),A) <-> C = k1_funct_1(A,B))) & (-r2_hidden(B,k1_relat_1(A)) -> (C = k1_funct_1(A,B) <-> C = k1_xboole_0)))))) # label(d4_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1068 $T # label(d3_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1069 (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]. 25.58/25.03 1070 $T # label(t32_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1071 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B -(r2_hidden(B,k2_relat_1(A)) & (all C k1_tarski(C) != k10_relat_1(A,k1_tarski(B))))) <-> v2_funct_1(A)))) # label(t144_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1072 (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]. 25.58/25.03 1073 $T # label(t136_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1074 (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]. 25.58/25.03 1075 (all A k2_funct_1(k6_relat_1(A)) = k6_relat_1(A)) # label(t67_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1076 (exists A (v1_funct_1(A) & v1_relat_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1077 $T # label(t127_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1078 (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]. 25.58/25.03 1079 $T # label(t77_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1080 (all A all B (v1_funct_1(B) & v1_relat_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]. 25.58/25.03 1081 $T # label(t109_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1082 (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]. 25.58/25.03 1083 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(k5_relat_1(B,C),A) = k1_funct_1(C,k1_funct_1(B,A))))))) # label(t23_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1084 $T # label(t98_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1085 $T # label(t80_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1086 (all A -((all B -p1_s2_funct_1(A,B)) & r2_hidden(A,f1_s2_funct_1))) & (all A all B all C (r2_hidden(A,f1_s2_funct_1) & p1_s2_funct_1(A,B) & p1_s2_funct_1(A,C) -> C = B)) -> (exists A (v1_relat_1(A) & v1_funct_1(A) & (all B (r2_hidden(B,f1_s2_funct_1) -> p1_s2_funct_1(B,k1_funct_1(A,B)))) & k1_relat_1(A) = f1_s2_funct_1)) # label(s2_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1087 (all A v2_funct_1(k6_relat_1(A))) # label(t52_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1088 $T # label(t111_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1089 $T # label(t107_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1090 (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]. 25.58/25.03 1091 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k2_relat_1(A) = k1_relat_1(B) & k5_relat_1(A,B) = A -> k6_relat_1(k1_relat_1(B)) = B))))) # label(t44_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1092 $T # label(t4_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1093 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (B = k7_relat_1(C,A) <-> (all D (r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(B,D) = k1_funct_1(C,D))) & k3_xboole_0(k1_relat_1(C),A) = k1_relat_1(B)))))) # label(t68_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1094 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_tarski(A) = k2_relat_1(B) & k2_relat_1(C) = k1_tarski(A) & k1_relat_1(B) = k1_relat_1(C) -> B = C))))) # label(t17_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1095 $T # label(t30_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1096 (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]. 25.58/25.03 1097 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> k9_relat_1(C,k3_xboole_0(A,k10_relat_1(C,B))) = k3_xboole_0(k9_relat_1(C,A),B))) # label(t150_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1098 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1099 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((all B all C k3_xboole_0(k9_relat_1(A,B),k9_relat_1(A,C)) = k9_relat_1(A,k3_xboole_0(B,C))) -> v2_funct_1(A)))) # label(t122_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1100 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k2_relat_1(A) = k2_relat_1(k5_relat_1(B,A)) & v2_funct_1(A) -> r1_tarski(k1_relat_1(A),k2_relat_1(B))))))) # label(t51_funct_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1101 (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]. 25.58/25.03 1102 $T # label(t15_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1103 $T # label(t8_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1104 (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]. 25.58/25.03 1105 (all A (v1_relat_1(A) -> (all B ((all C all D -(r2_hidden(D,B) & -r2_hidden(k4_tarski(D,C),A) & -r2_hidden(k4_tarski(C,D),A) & r2_hidden(C,B))) <-> r7_relat_2(A,B))))) # label(d7_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1106 (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]. 25.58/25.03 1107 (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]. 25.58/25.03 1108 (all A (v1_relat_1(A) -> (v1_relat_2(A) -> k2_relat_1(A) = k2_relat_1(k4_relat_1(A)) & k1_relat_1(A) = k1_relat_1(k4_relat_1(A))))) # label(t29_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1109 (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]. 25.58/25.03 1110 $T # label(t9_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1111 (all A (v1_relat_1(A) -> (all B (r4_relat_2(A,B) <-> (all C all D (r2_hidden(C,B) & r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),A) & r2_hidden(k4_tarski(D,C),A) -> D = C)))))) # label(d4_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1112 $T # label(t7_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1113 (all A (v1_relat_1(A) -> (all B ((all C all D (r2_hidden(k4_tarski(C,D),A) & r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k4_tarski(D,C),A))) <-> r3_relat_2(A,B))))) # label(d3_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1114 $T # label(t1_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1115 (all A (v1_relat_1(A) -> (k4_relat_1(A) = A <-> v3_relat_2(A)))) # label(t30_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1116 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v4_relat_2(A) -> v4_relat_2(k3_xboole_0(A,B)) & v4_relat_2(k4_xboole_0(A,B))))))) # label(t41_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1117 (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]. 25.58/25.03 1118 $T # label(t21_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1119 (all A (v1_relat_1(A) -> (v7_relat_2(A) <-> r7_relat_2(A,k3_relat_1(A))))) # label(d15_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1120 (all A (v1_relat_1(A) -> (v7_relat_2(A) <-> k2_xboole_0(A,k4_relat_1(A)) = k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A))))) # label(t47_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1121 (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]. 25.58/25.03 1122 (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]. 25.58/25.03 1123 $T # label(t11_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1124 $T # label(t14_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1125 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v3_relat_2(B) & v3_relat_2(A) -> v3_relat_2(k4_xboole_0(A,B)) & v3_relat_2(k3_xboole_0(A,B)) & v3_relat_2(k2_xboole_0(A,B))))))) # label(t35_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1126 (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]. 25.58/25.03 1127 (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]. 25.58/25.03 1128 (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]. 25.58/25.03 1129 (all A (v1_relat_1(A) -> (v1_relat_2(A) -> v1_relat_2(k4_relat_1(A))))) # label(t27_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1130 (all A all B (v1_relat_1(B) -> (r4_relat_2(B,A) <-> r5_relat_2(k4_xboole_0(B,k6_relat_1(A)),A)))) # label(t19_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1131 (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]. 25.58/25.03 1132 (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]. 25.58/25.03 1133 (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]. 25.58/25.03 1134 (all A (v1_relat_2(k6_relat_1(A)) & v4_relat_2(k6_relat_1(A)))) # label(t24_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1135 $T # label(t6_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1136 $T # label(t4_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1137 $T # label(t10_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1138 (all A (v1_relat_1(A) -> (all B (r8_relat_2(A,B) <-> (all C all D all E (r2_hidden(k4_tarski(C,D),A) & r2_hidden(k4_tarski(D,E),A) & r2_hidden(E,B) & 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]. 25.58/25.03 1139 $T # label(t5_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1140 $T # label(t16_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1141 (all A (v1_relat_1(A) -> (v5_relat_2(A) <-> r5_relat_2(A,k3_relat_1(A))))) # label(d13_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1142 $T # label(t3_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1143 (all A (v1_relat_1(A) -> (r3_relat_2(A,k3_relat_1(A)) <-> v3_relat_2(A)))) # label(d11_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1144 (all A (v1_relat_1(A) -> (r6_relat_2(A,k3_relat_1(A)) <-> v6_relat_2(A)))) # label(d14_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1145 $T # label(t12_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1146 (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]. 25.58/25.03 1147 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v8_relat_2(B) & v8_relat_2(A) -> v8_relat_2(k3_xboole_0(A,B))))))) # label(t43_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1148 (all A (v1_relat_1(A) -> (v5_relat_2(A) -> v2_relat_2(A) & v4_relat_2(A)))) # label(t26_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1149 $T # label(t2_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1150 (all A (v1_relat_1(A) -> (r1_tarski(k5_relat_1(A,A),A) <-> v8_relat_2(A)))) # label(t44_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1151 $T # label(t13_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1152 (all A (v1_relat_1(A) -> (all B ((all C all D -(r2_hidden(C,B) & r2_hidden(D,B) & -r2_hidden(k4_tarski(D,C),A) & -r2_hidden(k4_tarski(C,D),A) & D != C)) <-> r6_relat_2(A,B))))) # label(d6_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1153 (all A (v1_relat_1(A) -> (all B ((all C all D -(r2_hidden(C,B) & r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),A) & r2_hidden(k4_tarski(D,C),A))) <-> r5_relat_2(A,B))))) # label(d5_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1154 (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]. 25.58/25.03 1155 (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]. 25.58/25.03 1156 (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]. 25.58/25.03 1157 (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]. 25.58/25.03 1158 (all A (v1_relat_1(A) -> (v1_relat_2(A) <-> r1_tarski(k6_relat_1(k3_relat_1(A)),A)))) # label(t17_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1159 (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]. 25.58/25.03 1160 (all A (v1_relat_1(A) -> (all B ((all C -(r2_hidden(C,B) & r2_hidden(k4_tarski(C,C),A))) <-> r2_relat_2(A,B))))) # label(d2_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1161 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v5_relat_2(B) & v5_relat_2(A) -> v5_relat_2(k3_xboole_0(A,B))))))) # label(t37_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1162 (all A (v1_relat_1(A) -> (v8_relat_2(A) <-> r8_relat_2(A,k3_relat_1(A))))) # label(d16_relat_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1163 (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]. 25.58/25.03 1164 (all A all B (k1_ordinal1(A) = k1_ordinal1(B) -> A = B)) # label(t12_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1165 (all A exists B m1_ordinal1(B,A)) # label(existence_m1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1166 $T # label(t11_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1167 (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]. 25.58/25.03 1168 (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]. 25.58/25.03 1169 (all A (v4_ordinal1(A) <-> A = k3_tarski(A))) # label(d6_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.03 1170 (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]. 25.58/25.03 1171 $T # label(t17_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1172 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r1_ordinal1(k1_ordinal1(A),B) <-> r2_hidden(A,B)))))) # label(t33_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1173 $T # label(t44_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1174 $T # label(t8_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1175 $T # label(t43_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1176 (exists A (v2_ordinal1(A) & v3_ordinal1(A) & v1_ordinal1(A) & -v1_xboole_0(A))) # label(rc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1177 (all A (v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(A) -> v3_ordinal1(k1_relat_1(A)) & v2_ordinal1(k1_relat_1(A)) & v1_ordinal1(k1_relat_1(A)))) # label(fc5_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1178 (all A all B (v3_ordinal1(B) & v5_ordinal1(A) & v1_funct_1(A) & v1_relat_1(A) -> k7_relat_1(A,B) = k2_ordinal1(A,B))) # label(redefinition_k2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1179 (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]. 25.58/25.04 1180 (exists A (v1_funct_1(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v1_xboole_0(A) & v2_funct_1(A) & v1_relat_1(A))) # label(rc2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1181 $T # label(t18_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1182 (all A all B (r2_hidden(A,k1_ordinal1(B)) <-> r2_hidden(A,B) | B = A)) # label(t13_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1183 (all A all B all C all D -(r2_hidden(A,B) & r2_hidden(B,C) & r2_hidden(C,D) & r2_hidden(D,A))) # label(t4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1184 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v1_ordinal1(C) -> (r2_hidden(C,A) & r2_hidden(A,B) -> r2_hidden(C,B)))))))) # label(t19_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1185 (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]. 25.58/25.04 1186 $T # label(t40_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1187 (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]. 25.58/25.04 1188 (all A (v3_ordinal1(A) -> v3_ordinal1(k3_tarski(A)))) # label(t30_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1189 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v3_ordinal1(k1_relat_1(A)) -> m1_ordinal1(A,k2_relat_1(A))))) # label(t46_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1190 k1_relat_1(f4_s3_ordinal1) = f1_s3_ordinal1 & (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) -> (r2_hidden(A,f1_s3_ordinal1) & k2_ordinal1(f4_s3_ordinal1,A) = B -> k1_funct_1(f4_s3_ordinal1,A) = f2_s3_ordinal1(B)))))) & (all A (v3_ordinal1(A) -> (all B (v5_ordinal1(B) & v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,f1_s3_ordinal1) & B = k2_ordinal1(f3_s3_ordinal1,A) -> f2_s3_ordinal1(B) = k1_funct_1(f3_s3_ordinal1,A)))))) & f1_s3_ordinal1 = k1_relat_1(f3_s3_ordinal1) -> f4_s3_ordinal1 = f3_s3_ordinal1 # label(s3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1191 $T # label(t20_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1192 (all A k2_xboole_0(A,k1_tarski(A)) = k1_ordinal1(A)) # label(d1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1193 (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]. 25.58/25.04 1194 (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]. 25.58/25.04 1195 (all A -v1_xboole_0(k1_ordinal1(A))) # label(fc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1196 (exists A (v1_relat_1(A) & v1_funct_1(A) & (all B (v3_ordinal1(B) -> (all C (v1_funct_1(C) & v5_ordinal1(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))) # label(s4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1197 (all A all B (v3_ordinal1(B) -> (r2_hidden(A,B) -> v3_ordinal1(A)))) # label(t23_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1198 (all A (v3_ordinal1(A) -> -v1_xboole_0(k1_ordinal1(A)) & v2_ordinal1(k1_ordinal1(A)) & v3_ordinal1(k1_ordinal1(A)) & v1_ordinal1(k1_ordinal1(A)))) # label(fc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1199 $T # label(t28_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1200 (exists A (p1_s1_ordinal1(A) & v3_ordinal1(A))) -> (exists A (v3_ordinal1(A) & p1_s1_ordinal1(A) & (all B (v3_ordinal1(B) -> (p1_s1_ordinal1(B) -> r1_ordinal1(A,B)))))) # label(s1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1201 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> r3_xboole_0(A,B))))) # label(t25_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1202 (all A all B all C all D all E -(r2_hidden(B,C) & r2_hidden(D,E) & r2_hidden(E,A) & r2_hidden(C,D) & r2_hidden(A,B))) # label(t5_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1203 (all A k1_ordinal1(A) != A) # label(t14_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1204 (all A (v3_ordinal1(A) <-> v2_ordinal1(A) & v1_ordinal1(A))) # label(d4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1205 (all A all B (v3_ordinal1(B) -> -((all C (v3_ordinal1(C) -> -((all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> r1_ordinal1(C,D)))) & r2_hidden(C,A)))) & A != k1_xboole_0 & r1_tarski(A,B)))) # label(t32_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1206 (all A ((all B (r2_hidden(B,A) -> v5_ordinal1(B) & v1_funct_1(B) & v1_relat_1(B))) & v6_ordinal1(A) -> v5_ordinal1(k3_tarski(A)) & v1_funct_1(k3_tarski(A)) & v1_relat_1(k3_tarski(A)))) # label(t49_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1207 (all A all B (v1_funct_1(A) & v5_ordinal1(A) & v3_ordinal1(B) & v1_relat_1(A) -> m1_ordinal1(k2_ordinal1(A,B),k2_relat_1(A)))) # label(dt_k2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1208 (all A (v3_ordinal1(A) -> (v4_ordinal1(A) <-> (all B (v3_ordinal1(B) -> (r2_hidden(B,A) -> r2_hidden(k1_ordinal1(B),A))))))) # label(t41_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1209 (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]. 25.58/25.04 1210 $T # label(t16_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1211 $T # label(dt_k1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1212 $T # label(t9_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1213 (all A -(all B (r2_hidden(B,A) <-> v3_ordinal1(B)))) # label(t37_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1214 (all A all B all C all D all E all F -(r2_hidden(A,B) & r2_hidden(B,C) & r2_hidden(D,E) & r2_hidden(E,F) & r2_hidden(F,A) & r2_hidden(C,D))) # label(t6_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1215 (all A r2_hidden(A,k1_ordinal1(A))) # label(t10_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1216 $T # label(t15_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1217 (all A (v1_xboole_0(A) -> v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A))) # label(cc3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1218 (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]. 25.58/25.04 1219 (all A (v3_ordinal1(A) -> v1_ordinal1(A) & v2_ordinal1(A))) # label(cc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1220 (all A (v1_ordinal1(A) & v2_ordinal1(A) -> v3_ordinal1(A))) # label(cc2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1221 (all A (v3_ordinal1(A) -> v2_ordinal1(k3_tarski(A)) & v3_ordinal1(k3_tarski(A)) & v1_ordinal1(k3_tarski(A)))) # label(fc4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1222 (all A ((all B (r2_hidden(B,A) -> v3_ordinal1(B) & r1_tarski(B,A))) -> v3_ordinal1(A))) # label(t31_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1223 (all A ((all B (r2_hidden(B,A) -> v3_ordinal1(B))) -> v3_ordinal1(k3_tarski(A)))) # label(t35_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1224 (all A exists B ((all C (v3_ordinal1(C) -> (-r2_hidden(C,A) -> r1_ordinal1(B,C)))) & -r2_hidden(B,A) & v3_ordinal1(B))) # label(t39_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1225 (all A (v3_ordinal1(A) -> -((all B (v3_ordinal1(B) -> A != k1_ordinal1(B))) & -v4_ordinal1(A)) & -(v4_ordinal1(A) & (exists B (v3_ordinal1(B) & k1_ordinal1(B) = A))))) # label(t42_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1226 (all A all B (v3_ordinal1(A) & v3_ordinal1(B) -> r1_ordinal1(A,A))) # label(reflexivity_r1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1227 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> -(-r2_xboole_0(A,B) & B != A & -r2_xboole_0(B,A)))))) # label(t50_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1228 $T # label(d5_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1229 (all A (v1_ordinal1(A) <-> (all B (r2_hidden(B,A) -> r1_tarski(B,A))))) # label(d2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1230 (all A m1_ordinal1(k1_xboole_0,A)) # label(t45_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1231 (exists A (v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A))) # label(rc4_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1232 (all A all B -(r2_hidden(A,B) & r1_tarski(B,A))) # label(t7_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1233 (all A -(all B (v3_ordinal1(B) -> r2_hidden(B,A)))) # label(t38_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1234 (exists A (v3_ordinal1(A) & v2_ordinal1(A) & v1_ordinal1(A))) # label(rc1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1235 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v3_ordinal1(k1_relat_1(A)) <-> v5_ordinal1(A)))) # label(d7_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1236 (all A (v3_ordinal1(A) -> v3_ordinal1(k1_ordinal1(A)))) # label(t29_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1237 (all A (v3_ordinal1(A) -> (r2_hidden(A,k1_relat_1(f1_s5_ordinal1)) -> f2_s5_ordinal1(A) = k1_funct_1(f1_s5_ordinal1,A)))) & (all A (v3_ordinal1(A) -> (all B ((exists C (v1_funct_1(C) & v5_ordinal1(C) & f3_s5_ordinal1(C) = B & (all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> k1_funct_1(C,D) = f3_s5_ordinal1(k2_ordinal1(C,D))))) & k1_relat_1(C) = A & v1_relat_1(C))) <-> B = f2_s5_ordinal1(A))))) -> (all A (v3_ordinal1(A) -> (r2_hidden(A,k1_relat_1(f1_s5_ordinal1)) -> f3_s5_ordinal1(k2_ordinal1(f1_s5_ordinal1,A)) = k1_funct_1(f1_s5_ordinal1,A)))) # label(s5_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1238 (all A all B all C -(r2_hidden(B,C) & r2_hidden(C,A) & r2_hidden(A,B))) # label(t3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1239 (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]. 25.58/25.04 1240 $T # label(t2_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1241 $T # label(t1_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1242 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(A,k1_ordinal1(B)) <-> r1_ordinal1(A,B)))))) # label(t34_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1243 (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]. 25.58/25.04 1244 (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]. 25.58/25.04 1245 (all A (v2_ordinal1(A) <-> (all B all C -(r2_hidden(C,A) & B != C & -r2_hidden(C,B) & -r2_hidden(B,C) & r2_hidden(B,A))))) # label(d3_ordinal1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1246 (all A all B all C (v1_relat_1(C) -> (r2_hidden(B,k3_relat_1(C)) & r2_hidden(A,k3_relat_1(C)) & v2_wellord1(C) -> (r1_tarski(k1_wellord1(C,A),k1_wellord1(C,B)) <-> A = B | r2_hidden(A,k1_wellord1(C,B)))))) # label(t38_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1247 (all A all B all C (v1_relat_1(C) -> r1_tarski(k1_wellord1(k2_wellord1(C,A),B),k1_wellord1(C,B)))) # label(t21_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1248 $T # label(t44_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1249 (all A all B all C (v1_relat_1(C) -> -(v2_wellord1(C) & r4_wellord1(k2_wellord1(C,k1_wellord1(C,A)),k2_wellord1(C,k1_wellord1(C,B))) & A != B & r2_hidden(B,k3_relat_1(C)) & r2_hidden(A,k3_relat_1(C))))) # label(t58_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1250 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r3_wellord1(A,B,C) <-> (all D all E (r2_hidden(k4_tarski(k1_funct_1(C,D),k1_funct_1(C,E)),B) & r2_hidden(E,k3_relat_1(A)) & r2_hidden(D,k3_relat_1(A)) <-> r2_hidden(k4_tarski(D,E),A))) & v2_funct_1(C) & k3_relat_1(B) = k2_relat_1(C) & k3_relat_1(A) = k1_relat_1(C)))))))) # label(d7_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1251 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> ((exists C (v1_funct_1(C) & r3_wellord1(A,B,C) & v1_relat_1(C))) <-> r4_wellord1(A,B)))))) # label(d8_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1252 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k2_wellord1(C,B)) <-> r2_hidden(A,C) & r2_hidden(A,k2_zfmisc_1(B,B))))) # label(t16_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1253 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r3_wellord1(A,B,C) -> r3_wellord1(B,A,k2_funct_1(C))))))))) # label(t49_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1254 (all A all B all C (v1_relat_1(C) -> k2_wellord1(C,k3_xboole_0(A,B)) = k2_wellord1(k2_wellord1(C,A),B))) # label(t26_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1255 (all A (v1_relat_1(A) -> (all B ((all C -((all D -(r2_hidden(D,C) & r1_xboole_0(k1_wellord1(A,D),C))) & k1_xboole_0 != C & r1_tarski(C,B))) <-> r1_wellord1(A,B))))) # label(d3_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1256 (all A all B (v1_relat_1(B) -> r2_hidden(A,k3_relat_1(B)) | k1_wellord1(B,A) = k1_xboole_0)) # label(t2_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1257 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> (all B ((all C (r2_hidden(C,k3_relat_1(A)) & r1_tarski(k1_wellord1(A,C),B) -> r2_hidden(C,B))) -> r1_tarski(k3_relat_1(A),B)))))) # label(t41_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1258 (all A all B (v1_relat_1(B) -> (v1_relat_2(B) -> v1_relat_2(k2_wellord1(B,A))))) # label(t22_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1259 (all A all B (v1_relat_1(A) -> v1_relat_1(k2_wellord1(A,B)))) # label(dt_k2_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1260 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r4_wellord1(A,B) & v2_wellord1(A) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k3_wellord1(A,B) = C <-> r3_wellord1(A,B,C))))))))) # label(d9_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1261 $T # label(t4_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1262 $T # label(dt_k1_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1263 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (all E (v1_funct_1(E) & v1_relat_1(E) -> (r3_wellord1(A,B,D) & r3_wellord1(B,C,E) -> r3_wellord1(A,C,k5_relat_1(D,E))))))))))))) # label(t51_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1264 (all A all B (v1_relat_1(B) -> k8_relat_1(A,k7_relat_1(B,A)) = k2_wellord1(B,A))) # label(t18_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1265 $T # label(t46_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1266 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r3_wellord1(A,B,C) -> (v8_relat_2(A) -> v8_relat_2(B)) & (v6_relat_2(A) -> v6_relat_2(B)) & (v1_wellord1(A) -> v1_wellord1(B)) & (v4_relat_2(A) -> v4_relat_2(B)) & (v1_relat_2(A) -> v1_relat_2(B))))))))) # label(t53_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1267 $T # label(t1_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1268 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> k1_xboole_0 = k3_relat_1(A) | (all B -(r2_hidden(B,k3_relat_1(A)) & (all C -(r2_hidden(C,k3_relat_1(A)) & r2_hidden(k4_tarski(B,C),A) & (all D -(-r2_hidden(k4_tarski(C,D),A) & B != D & r2_hidden(k4_tarski(B,D),A) & r2_hidden(D,k3_relat_1(A)))))) & (exists C (r2_hidden(C,k3_relat_1(A)) & -r2_hidden(k4_tarski(C,B),A)))))))) # label(t12_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1269 (all A (v1_relat_1(A) -> (v2_wellord1(A) <-> r2_wellord1(A,k3_relat_1(A))))) # label(t8_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1270 (all A all B (v1_relat_1(B) -> k7_relat_1(k8_relat_1(A,B),A) = k2_wellord1(B,A))) # label(t17_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1271 (all A all B (v1_relat_1(B) -> k2_wellord1(k2_wellord1(B,A),A) = k2_wellord1(B,A))) # label(t28_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1272 (all A all B (v1_relat_1(B) -> -(v2_wellord1(B) & -r4_wellord1(B,k2_wellord1(B,A)) & (all C -(r4_wellord1(k2_wellord1(B,k1_wellord1(B,C)),k2_wellord1(B,A)) & r2_hidden(C,k3_relat_1(B)))) & r1_tarski(A,k3_relat_1(B))))) # label(t64_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1273 (all A all B (v1_relat_1(B) -> (v2_wellord1(B) -> k3_relat_1(k2_wellord1(B,k1_wellord1(B,A))) = k1_wellord1(B,A)))) # label(t40_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1274 (all A (v1_relat_1(A) -> (all B k3_xboole_0(A,k2_zfmisc_1(B,B)) = k2_wellord1(A,B)))) # label(d6_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1275 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> -((all C -(r2_hidden(C,k3_relat_1(A)) & r4_wellord1(k2_wellord1(A,k1_wellord1(A,C)),B))) & (all C -(r2_hidden(C,k3_relat_1(B)) & r4_wellord1(A,k2_wellord1(B,k1_wellord1(B,C))))) & -r4_wellord1(A,B) & v2_wellord1(B) & v2_wellord1(A)))))) # label(t63_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1276 (all A all B all C (v1_relat_1(C) -> (v2_wellord1(C) & r2_hidden(B,k1_wellord1(C,A)) & r2_hidden(A,k3_relat_1(C)) -> k1_wellord1(k2_wellord1(C,k1_wellord1(C,A)),B) = k1_wellord1(C,B)))) # label(t35_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1277 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (v2_wellord1(A) & r3_wellord1(A,B,C) -> v2_wellord1(B)))))))) # label(t54_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1278 (all A all B (v1_relat_1(B) -> (v2_wellord1(B) & r1_tarski(A,k3_relat_1(B)) -> ((all C (r2_hidden(C,A) -> (all D (r2_hidden(k4_tarski(D,C),B) -> r2_hidden(D,A))))) <-> -((all C -(r2_hidden(C,k3_relat_1(B)) & A = k1_wellord1(B,C))) & k3_relat_1(B) != A))))) # label(t36_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1279 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k3_relat_1(k2_wellord1(C,B))) -> r2_hidden(A,k3_relat_1(C)) & r2_hidden(A,B)))) # label(t19_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1280 (all A all B (v1_relat_1(B) -> (r2_wellord1(B,A) -> (all C -(C != k1_xboole_0 & (all D -(r2_hidden(D,C) & (all E (r2_hidden(E,C) -> r2_hidden(k4_tarski(D,E),B))))) & r1_tarski(C,A)))))) # label(t9_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1281 (all A all B (v1_relat_1(B) -> (v2_wellord1(B) -> v2_wellord1(k2_wellord1(B,A))))) # label(t32_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1282 (all A (v1_relat_1(A) -> r3_wellord1(A,A,k6_relat_1(k3_relat_1(A))))) # label(t47_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1283 $T # label(t56_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1284 $T # label(t7_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1285 $T # label(t14_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1286 (all A all B (v1_relat_1(B) -> r1_tarski(k1_wellord1(B,A),k3_relat_1(B)))) # label(t13_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1287 (all A (v1_relat_1(A) -> (r1_wellord1(A,k3_relat_1(A)) <-> v1_wellord1(A)))) # label(t5_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1288 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r4_wellord1(A,B) -> r4_wellord1(B,A)))))) # label(t50_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1289 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r3_wellord1(A,B,C) -> (all D all E (r2_hidden(k4_tarski(D,E),A) -> k1_funct_1(C,D) != k1_funct_1(C,E) & r2_hidden(k4_tarski(k1_funct_1(C,D),k1_funct_1(C,E)),B) | E = D))))))))) # label(t45_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1290 (all A all B (v1_relat_1(B) -> r1_tarski(k2_wellord1(B,A),B) & r1_tarski(k2_wellord1(B,A),k2_zfmisc_1(A,A)))) # label(t15_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1291 (all A all B all C (v1_relat_1(C) -> k2_wellord1(k2_wellord1(C,A),B) = k2_wellord1(k2_wellord1(C,B),A))) # label(t27_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1292 $T # label(t3_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1293 (all A (v1_relat_1(A) -> r4_wellord1(A,A))) # label(t48_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1294 (all A all B (v1_relat_1(B) -> (v4_relat_2(B) -> v4_relat_2(k2_wellord1(B,A))))) # label(t25_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1295 (all A all B (v1_relat_1(B) -> (v6_relat_2(B) -> v6_relat_2(k2_wellord1(B,A))))) # label(t23_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1296 (all A (v1_relat_1(A) -> (all B all C ((all D (r2_hidden(D,C) <-> r2_hidden(k4_tarski(D,B),A) & B != D)) <-> k1_wellord1(A,B) = C)))) # label(d1_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1297 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (r4_wellord1(A,B) & r4_wellord1(B,C) -> r4_wellord1(A,C)))))))) # label(t52_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1298 (all A (v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_wellord1(A) & r1_tarski(k2_relat_1(B),k3_relat_1(A)) & (all C all D (r2_hidden(k4_tarski(C,D),A) -> k1_funct_1(B,C) != k1_funct_1(B,D) & r2_hidden(k4_tarski(k1_funct_1(B,C),k1_funct_1(B,D)),A) | C = D)) & k1_relat_1(B) = k3_relat_1(A) -> (all C (r2_hidden(C,k3_relat_1(A)) -> r2_hidden(k4_tarski(C,k1_funct_1(B,C)),A)))))))) # label(t43_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1299 (all A (v1_relat_1(A) -> k2_wellord1(A,k3_relat_1(A)) = A)) # label(t30_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1300 (all A all B all C (v1_relat_1(C) -> (v2_wellord1(C) -> r3_xboole_0(k1_wellord1(C,A),k1_wellord1(C,B))))) # label(t33_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1301 (all A all B (v1_relat_1(B) -> (r1_tarski(A,k3_relat_1(B)) & v2_wellord1(B) -> k3_relat_1(k2_wellord1(B,A)) = A))) # label(t39_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1302 (all A (v1_relat_1(A) -> (all B (r1_relat_2(A,B) & r4_relat_2(A,B) & r6_relat_2(A,B) & r1_wellord1(A,B) & r8_relat_2(A,B) <-> r2_wellord1(A,B))))) # label(d5_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1303 (all A (v1_relat_1(A) -> (v2_wellord1(A) <-> v1_relat_2(A) & v4_relat_2(A) & v1_wellord1(A) & v6_relat_2(A) & v8_relat_2(A)))) # label(d4_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1304 (all A all B all C (v1_relat_1(C) -> (v2_wellord1(C) & r2_hidden(A,k3_relat_1(C)) & r2_hidden(B,k3_relat_1(C)) -> (r2_hidden(k4_tarski(A,B),C) <-> r1_tarski(k1_wellord1(C,A),k1_wellord1(C,B)))))) # label(t37_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1305 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r3_wellord1(A,B,C) & v2_wellord1(A) -> (all D -((all E -(r2_hidden(E,k3_relat_1(B)) & r4_wellord1(k2_wellord1(A,k1_wellord1(A,D)),k2_wellord1(B,k1_wellord1(B,E))))) & r2_hidden(D,k3_relat_1(A))))))))))) # label(t61_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1306 (all A all B (v1_relat_1(B) -> r1_tarski(k3_relat_1(k2_wellord1(B,A)),k3_relat_1(B)) & r1_tarski(k3_relat_1(k2_wellord1(B,A)),A))) # label(t20_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1307 (all A (v1_relat_1(A) -> -(v2_wellord1(A) & (all B -((all C (r2_hidden(C,k3_relat_1(A)) -> r2_hidden(k4_tarski(B,C),A))) & r2_hidden(B,k3_relat_1(A)))) & k1_xboole_0 != k3_relat_1(A)))) # label(t11_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1308 (all A all B (v1_relat_1(B) -> (v8_relat_2(B) -> v8_relat_2(k2_wellord1(B,A))))) # label(t24_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1309 $T # label(t34_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1310 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (v2_wellord1(A) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r3_wellord1(A,B,D) & r3_wellord1(A,B,C) -> C = D)))))))))) # label(t55_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1311 (all A all B all C (v1_relat_1(C) -> (r2_hidden(A,k3_relat_1(C)) & r2_hidden(B,k3_relat_1(C)) & (all D (r2_hidden(D,k1_wellord1(C,A)) -> D != B & r2_hidden(k4_tarski(D,B),C))) & v2_wellord1(C) -> r2_hidden(k4_tarski(A,B),C)))) # label(t42_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1312 (all A all B (v1_relat_1(B) -> (all C (v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (v2_wellord1(B) & r1_tarski(A,k3_relat_1(B)) & r3_wellord1(B,C,D) -> r4_wellord1(k2_wellord1(B,A),k2_wellord1(C,k9_relat_1(D,A))) & r3_wellord1(k2_wellord1(B,A),k2_wellord1(C,k9_relat_1(D,A)),k7_relat_1(D,A))))))))) # label(t59_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1313 $T # label(t6_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1314 (all A all B (v1_relat_1(B) -> (v1_wellord1(B) -> v1_wellord1(k2_wellord1(B,A))))) # label(t31_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1315 (all A (v1_relat_1(A) -> ((all B -(r1_tarski(B,k3_relat_1(A)) & (all C -(r2_hidden(C,B) & r1_xboole_0(k1_wellord1(A,C),B))) & k1_xboole_0 != B)) <-> v1_wellord1(A)))) # label(d2_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1316 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (v2_wellord1(A) & r3_wellord1(A,B,C) -> (all D -((all E -(k9_relat_1(C,k1_wellord1(A,D)) = k1_wellord1(B,E) & r2_hidden(E,k3_relat_1(B)))) & r2_hidden(D,k3_relat_1(A))))))))))) # label(t60_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1317 (all A all B (v1_relat_1(B) & v1_relat_1(A) -> v1_funct_1(k3_wellord1(A,B)) & v1_relat_1(k3_wellord1(A,B)))) # label(dt_k3_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1318 (all A all B all C all D (v1_relat_1(D) -> (all E (v1_relat_1(E) -> (r2_hidden(A,k3_relat_1(D)) & r2_hidden(C,k3_relat_1(E)) & r4_wellord1(D,k2_wellord1(E,k1_wellord1(E,B))) & r4_wellord1(k2_wellord1(D,k1_wellord1(D,A)),k2_wellord1(E,k1_wellord1(E,C))) & r2_hidden(B,k3_relat_1(E)) & v2_wellord1(E) & v2_wellord1(D) -> r2_hidden(k4_tarski(C,B),E) & r1_tarski(k1_wellord1(E,C),k1_wellord1(E,B))))))) # label(t62_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1319 (all A all B all C (v1_relat_1(C) -> (r1_tarski(A,B) -> k2_wellord1(k2_wellord1(C,B),A) = k2_wellord1(C,A)))) # label(t29_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1320 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> (all B -(r4_wellord1(A,k2_wellord1(A,k1_wellord1(A,B))) & r2_hidden(B,k3_relat_1(A))))))) # label(t57_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1321 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> (all B -(r1_tarski(B,k3_relat_1(A)) & k1_xboole_0 != B & (all C -((all D (r2_hidden(D,B) -> r2_hidden(k4_tarski(C,D),A))) & r2_hidden(C,B)))))))) # label(t10_wellord1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1322 (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,D,C) = k2_relset_1(A,B,C,D))) # label(commutativity_k2_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1323 (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]. 25.58/25.04 1324 $T # label(t5_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1325 (all A all B all C all D (m2_relset_1(D,A,B) -> (r1_tarski(B,C) -> D = k9_relset_1(A,B,C,D)))) # label(t36_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1326 (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]. 25.58/25.04 1327 (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]. 25.58/25.04 1328 (all A all B all C all D (m1_relset_1(D,A,B) & m1_relset_1(C,A,B) -> m2_relset_1(k1_relset_1(A,B,C,D),A,B))) # label(dt_k1_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1329 (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]. 25.58/25.04 1330 (all A all B all C all D (m2_relset_1(D,B,A) -> (r1_tarski(B,C) -> k8_relset_1(B,A,D,C) = D))) # label(t34_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1331 (all A all B all C all D all E all F (m1_relset_1(F,C,D) & m1_relset_1(E,A,B) -> 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]. 25.58/25.04 1332 (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]. 25.58/25.04 1333 (all A m2_relset_1(k6_relat_1(A),A,A)) # label(t29_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1334 $T # label(t7_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1335 (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]. 25.58/25.04 1336 (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(k4_tarski(F,E),D) & r2_hidden(F,B) & 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]. 25.58/25.04 1337 (all A all B all C (v1_relat_1(C) -> (r1_tarski(k2_relat_1(C),B) & r1_tarski(k1_relat_1(C),A) -> m2_relset_1(C,A,B)))) # label(t11_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1338 (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]. 25.58/25.04 1339 (all A all B all C (m2_relset_1(C,B,A) -> k4_relset_1(B,A,C) = k11_relset_1(B,A,C,k10_relset_1(B,A,C,B)) & k10_relset_1(B,A,C,k11_relset_1(B,A,C,A)) = k5_relset_1(B,A,C))) # label(t39_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1340 $T # label(t41_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1341 (all A all B all C (m2_relset_1(C,A,B) -> k11_relset_1(A,B,C,B) = k4_relset_1(A,B,C) & k10_relset_1(A,B,C,A) = k5_relset_1(A,B,C))) # label(t38_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1342 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1343 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,B,A) -> (all D (m1_subset_1(D,A) -> (r2_hidden(D,k5_relset_1(B,A,C)) <-> (exists E (m1_subset_1(E,B) & r2_hidden(k4_tarski(E,D),C)))))))))))) # label(t48_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.04 1344 (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]. 25.58/25.04 1345 (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]. 25.58/25.04 1346 (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]. 25.58/25.04 1347 (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]. 25.58/25.05 1348 $T # label(t3_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1349 $T # label(t18_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1350 (all A all B all C (m2_relset_1(C,A,B) -> r1_tarski(k2_relat_1(C),B) & r1_tarski(k1_relat_1(C),A))) # label(t12_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1351 $T # label(t2_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1352 (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]. 25.58/25.05 1353 (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]. 25.58/25.05 1354 (all A all B all C all D (m1_relset_1(C,A,B) & m1_relset_1(D,A,B) -> k3_relset_1(A,B,C,D) = k4_xboole_0(C,D))) # label(redefinition_k3_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1355 (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]. 25.58/25.05 1356 (exists A (m2_relset_1(A,f1_s2_relset_1,f2_s2_relset_1) & (all B (m1_subset_1(B,f1_s2_relset_1) -> (all C (m1_subset_1(C,f2_s2_relset_1) -> (p1_s2_relset_1(B,C) <-> r2_hidden(k4_tarski(B,C),A)))))))) # label(s2_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1357 (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]. 25.58/25.05 1358 (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]. 25.58/25.05 1359 (all A all B all C all D (m1_relset_1(C,A,B) -> k7_relat_1(C,D) = k8_relset_1(A,B,C,D))) # label(redefinition_k8_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1360 (all A all B m2_relset_1(k1_xboole_0,A,B)) # label(t25_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1361 (all A all B all C all D (m1_relset_1(D,A,B) -> k8_relat_1(C,D) = k9_relset_1(A,B,C,D))) # label(redefinition_k9_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1362 (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]. 25.58/25.05 1363 (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]. 25.58/25.05 1364 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1365 (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]. 25.58/25.05 1366 (all A all B all C all D (m1_relset_1(D,A,B) & m1_relset_1(C,A,B) -> k1_relset_1(A,B,C,D) = k2_xboole_0(C,D))) # label(redefinition_k1_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1367 (exists A (m2_relset_1(A,f1_s1_relset_1,f2_s1_relset_1) & (all B all C (p1_s1_relset_1(B,C) & r2_hidden(C,f2_s1_relset_1) & r2_hidden(B,f1_s1_relset_1) <-> r2_hidden(k4_tarski(B,C),A))))) # label(s1_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1368 (all A all B all C (m2_relset_1(C,A,B) -> (m2_relset_1(C,k1_xboole_0,B) -> C = k1_xboole_0))) # label(t26_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1369 (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]. 25.58/25.05 1370 (all A all B all C all D all E all F (m1_relset_1(E,A,B) & m1_relset_1(F,C,D) -> m2_relset_1(k7_relset_1(A,B,C,D,E,F),A,D))) # label(dt_k7_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1371 (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]. 25.58/25.05 1372 (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 (r2_hidden(k4_tarski(H,G),E) & r2_hidden(k4_tarski(F,H),D) & m1_subset_1(H,B))) <-> 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]. 25.58/25.05 1373 (all A (-v1_xboole_0(A) -> k1_xboole_0 != k6_relat_1(A))) # label(t46_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1374 $T # label(t37_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1375 (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]. 25.58/25.05 1376 (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]. 25.58/25.05 1377 $T # label(t40_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1378 (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]. 25.58/25.05 1379 (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]. 25.58/25.05 1380 (all A all B all C all D (m1_relset_1(D,A,B) & m1_relset_1(C,A,B) -> k1_relset_1(A,B,C,D) = k1_relset_1(A,B,D,C))) # label(commutativity_k1_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1381 (all A all B all C (m2_relset_1(C,B,A) -> (k4_relset_1(B,A,C) = B <-> (all D -((all E -r2_hidden(k4_tarski(D,E),C)) & r2_hidden(D,B)))))) # label(t22_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1382 (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]. 25.58/25.05 1383 $T # label(t20_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1384 (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]. 25.58/25.05 1385 (all A all B all C all D (m1_relset_1(C,A,B) & m1_relset_1(D,A,B) -> k1_relset_1(A,B,C,C) = C)) # label(idempotence_k1_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1386 (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]. 25.58/25.05 1387 $T # label(t42_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1388 (all A all B all C (m2_relset_1(C,A,B) -> (B = k5_relset_1(A,B,C) <-> (all D -((all E -r2_hidden(k4_tarski(E,D),C)) & r2_hidden(D,B)))))) # label(t23_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1389 (all A all B all C (m2_relset_1(C,A,B) -> (r1_tarski(k6_relat_1(B),C) -> k5_relset_1(A,B,C) = B & r1_tarski(B,k4_relset_1(A,B,C))))) # label(t32_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1390 $T # label(t21_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1391 (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]. 25.58/25.05 1392 (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 (m1_subset_1(F,C) & r2_hidden(F,B) & r2_hidden(k4_tarski(E,F),D)))))))))))))) # label(t53_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1393 (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]. 25.58/25.05 1394 $T # label(t1_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1395 $T # label(t43_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1396 (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]. 25.58/25.05 1397 $T # label(t44_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1398 (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]. 25.58/25.05 1399 (all A all B (m2_relset_1(B,A,A) -> B = k5_relat_1(B,k6_relat_1(A)) & B = k5_relat_1(k6_relat_1(A),B))) # label(t45_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1400 (all A all B all C (m2_relset_1(C,A,B) -> k5_relset_1(A,B,C) = k4_relset_1(B,A,k6_relset_1(A,B,C)) & k5_relset_1(B,A,k6_relset_1(A,B,C)) = k4_relset_1(A,B,C))) # label(t24_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1401 (all A all B all C all D (r2_hidden(C,A) & r2_hidden(D,B) -> m2_relset_1(k1_tarski(k4_tarski(C,D)),A,B))) # label(t8_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1402 (all A r1_tarski(k6_relat_1(A),k2_zfmisc_1(A,A))) # label(t28_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1403 (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]. 25.58/25.05 1404 (all A all B all C all D (m2_relset_1(D,A,B) -> -(r2_hidden(C,D) & (all E all F -(C = k4_tarski(E,F) & r2_hidden(E,A) & r2_hidden(F,B)))))) # label(t6_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1405 (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]. 25.58/25.05 1406 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1407 (all A all B all C all D (m1_relset_1(C,A,B) & m1_relset_1(D,A,B) -> m2_relset_1(k2_relset_1(A,B,C,D),A,B))) # label(dt_k2_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1408 (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]. 25.58/25.05 1409 (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]. 25.58/25.05 1410 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,A,B) -> (all D (m1_subset_1(D,A) -> ((exists E (r2_hidden(k4_tarski(D,E),C) & m1_subset_1(E,B))) <-> r2_hidden(D,k4_relset_1(A,B,C))))))))))) # label(t47_relset_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1411 (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]. 25.58/25.05 1412 $T # label(t103_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1413 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> m2_relset_1(k9_relset_1(A,B,C,D),A,B) & v1_funct_1(k9_relset_1(A,B,C,D)))) # label(t46_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1414 (all A all B all C (k4_partfun1(A,B) = C <-> (all D (r2_hidden(D,C) <-> (exists E (v1_relat_1(E) & v1_funct_1(E) & E = D & r1_tarski(k1_relat_1(E),A) & r1_tarski(k2_relat_1(E),B))))))) # label(d5_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1415 $T # label(t170_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1416 $T # label(t159_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1417 (all A all B all C (m2_relset_1(C,k1_xboole_0,A) & v1_funct_1(C) -> k1_xboole_0 = k10_relat_1(C,B))) # label(t61_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1418 (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]. 25.58/25.05 1419 (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]. 25.58/25.05 1420 (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]. 25.58/25.05 1421 (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]. 25.58/25.05 1422 $T # label(t183_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1423 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (v1_partfun1(C,A,B) & r1_partfun1(C,D) & v1_partfun1(D,A,B) -> D = C))))) # label(t148_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1424 (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]. 25.58/25.05 1425 (all A all B (m2_relset_1(B,k1_xboole_0,A) & v1_funct_1(B) -> 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]. 25.58/25.05 1426 $T # label(t15_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1427 (all A all B all C all D (v1_funct_1(D) & v1_relat_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) -> k3_partfun1(k5_relat_1(D,E),C,B) = k1_partfun1(C,A,A,B,k3_partfun1(D,C,A),k3_partfun1(E,A,B))))))) # label(t93_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1428 $T # label(t184_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1429 $T # label(t105_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1430 $T # label(t110_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1431 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (r1_tarski(k2_relat_1(D),C) -> m2_relset_1(D,A,C) & v1_funct_1(D)))) # label(t29_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1432 (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]. 25.58/25.05 1433 (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]. 25.58/25.05 1434 (all A all B all C all D all E all F (v1_funct_1(E) & m1_relset_1(E,A,B) & v1_funct_1(F) & m1_relset_1(F,C,D) -> v1_funct_1(k1_partfun1(A,B,C,D,E,F)) & m2_relset_1(k1_partfun1(A,B,C,D,E,F),A,D))) # label(dt_k1_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1435 (all A k4_partfun1(k1_xboole_0,A) = k1_tarski(k1_xboole_0)) # label(t122_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1436 (all A all B (p1_s2_partfun1(A,B) & r2_hidden(A,f1_s2_partfun1) -> r2_hidden(B,f2_s2_partfun1))) & (all A all B all C (p1_s2_partfun1(A,C) & p1_s2_partfun1(A,B) & r2_hidden(A,f1_s2_partfun1) -> B = C)) -> (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 (r2_hidden(B,k4_relset_1(f1_s2_partfun1,f2_s2_partfun1,A)) <-> r2_hidden(B,f1_s2_partfun1) & (exists C p1_s2_partfun1(B,C)))) & m2_relset_1(A,f1_s2_partfun1,f2_s2_partfun1))) # label(s2_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1437 $T # label(t102_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1438 (exists A (v1_funct_1(A) & v2_funct_1(A) & v1_xboole_0(A) & v1_relat_1(A))) # label(rc1_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1439 (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]. 25.58/25.05 1440 $T # label(t157_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1441 $T # label(t17_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1442 (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)) & k1_funct_1(D,E) = C)))))) # label(t26_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1443 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,B) -> (r1_partfun1(C,E) & v1_partfun1(E,A,B) & r1_partfun1(D,E) -> r1_partfun1(C,D)))))))) # label(t158_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1444 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(A,B) -> r1_tarski(k3_partfun1(D,A,C),k3_partfun1(D,B,C))))) # label(t82_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1445 (all A all B (v1_funct_1(B) & v1_relat_1(B) & v1_funct_1(A) & v1_relat_1(A) -> r1_partfun1(A,A))) # label(reflexivity_r1_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1446 $T # label(t4_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1447 (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) & 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]. 25.58/25.05 1448 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (v1_partfun1(k3_partfun1(C,A,B),A,B) -> r1_tarski(A,k1_relat_1(C))))) # label(t113_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1449 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(A,k1_relat_1(C)) & r1_tarski(k9_relat_1(C,A),B) -> v1_partfun1(k3_partfun1(C,A,B),A,B)))) # label(t117_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1450 $T # label(t165_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1451 $T # label(t22_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1452 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> m2_relset_1(k8_relset_1(A,B,D,C),C,B) & v1_funct_1(k8_relset_1(A,B,D,C)))) # label(t43_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1453 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> m2_relset_1(k7_relat_1(k8_relat_1(A,C),B),B,A) & v1_funct_1(k7_relat_1(k8_relat_1(A,C),B)))) # label(t47_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1454 (exists A ((all B (r2_hidden(B,f1_s1_partfun1) -> (p1_s1_partfun1(B) -> f2_s1_partfun1(B) = k1_funct_1(A,B)) & (-p1_s1_partfun1(B) -> k1_funct_1(A,B) = f3_s1_partfun1(B)))) & f1_s1_partfun1 = k1_relat_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(s1_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1455 $T # label(t88_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1456 $T # label(t18_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1457 $T # label(t182_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1458 (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]. 25.58/25.05 1459 $T # label(t124_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1460 $T # label(t42_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1461 $T # label(t134_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1462 (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) -> (C = k2_xboole_0(A,B) -> (all D (r2_hidden(D,k3_xboole_0(k1_relat_1(A),k1_relat_1(B))) -> k1_funct_1(A,D) = k1_funct_1(B,D)))))))))) # label(t3_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1463 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> r1_tarski(k3_partfun1(C,A,B),C))) # label(t76_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1464 (all A exists B (m1_relset_1(B,A,A) & v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) & v1_relat_1(B))) # label(rc3_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1465 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,k1_xboole_0,A) -> (all D (v1_funct_1(D) & m2_relset_1(D,k1_xboole_0,B) -> D = C)))) # label(t58_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1466 (all A (v8_relat_2(A) & v3_relat_2(A) & v1_relat_1(A) -> v1_relat_2(A) & v1_relat_1(A))) # label(cc1_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1467 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r1_tarski(A,B) -> r1_tarski(k3_partfun1(D,C,A),k3_partfun1(D,C,B))))) # label(t83_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1468 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (k1_tarski(A) = k1_relat_1(D) & 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]. 25.58/25.05 1469 $T # label(t180_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1470 $T # label(t23_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1471 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_partfun1(A,B) <-> (exists C (v1_funct_1(C) & k2_xboole_0(A,B) = C & v1_relat_1(C)))))))) # label(t130_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1472 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> k3_partfun1(D,B,k3_xboole_0(A,C)) = k9_relset_1(B,C,A,k3_partfun1(D,B,C)))) # label(t97_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1473 (all A all B -v1_xboole_0(k4_partfun1(A,B))) # label(fc1_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1474 (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]. 25.58/25.05 1475 $T # label(t177_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1476 (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]. 25.58/25.05 1477 (all A all B (m2_relset_1(B,k1_xboole_0,A) & v1_funct_1(B) -> v1_partfun1(B,k1_xboole_0,A))) # label(t112_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1478 (all A all B all C (m2_relset_1(C,A,k1_xboole_0) & v1_funct_1(C) -> k1_xboole_0 = k9_relat_1(C,B))) # label(t67_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1479 (all A all B (v1_partfun1(k3_partfun1(k1_xboole_0,A,B),A,B) -> A = k1_xboole_0)) # label(t114_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1480 $T # label(t153_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1481 $T # label(t20_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1482 (all A k6_partfun1(A) = k6_relat_1(A)) # label(redefinition_k6_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1483 (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]. 25.58/25.05 1484 (all A all B all C (m1_subset_1(C,k4_partfun1(A,B)) -> m2_relset_1(C,A,B) & v1_funct_1(C))) # label(t121_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1485 $T # label(t7_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1486 $T # label(t14_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1487 $T # label(t16_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1488 (all A all B all C (m2_relset_1(C,A,k1_xboole_0) & v1_funct_1(C) -> (all D (m2_relset_1(D,B,k1_xboole_0) & v1_funct_1(D) -> D = C)))) # label(t65_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1489 (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]. 25.58/25.05 1490 $T # label(t133_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1491 (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)) & k1_funct_1(D,E) = C)))))) # label(t49_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1492 (all A all B all C (r2_hidden(C,k4_partfun1(A,B)) -> m2_relset_1(C,A,B) & v1_funct_1(C))) # label(t120_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1493 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> r1_partfun1(k3_partfun1(k1_xboole_0,A,B),C))) # label(t142_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1494 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_partfun1(k7_relat_1(B,A),B))) # label(t144_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1495 (all A all B all C all D all E all F (r1_tarski(A,k2_zfmisc_1(B,C)) & r1_tarski(D,k2_zfmisc_1(E,F)) -> r1_tarski(k2_xboole_0(A,D),k2_zfmisc_1(k2_xboole_0(B,E),k2_xboole_0(C,F))))) # label(t1_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1496 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(B,C) -> v1_funct_1(D) & m2_relset_1(D,A,C)))) # label(t31_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1497 $T # label(t154_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1498 $T # label(t40_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1499 (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)) -> k1_funct_1(D,A) = k1_funct_1(k3_partfun1(D,B,C),A)))) # label(t79_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1500 (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]. 25.58/25.05 1501 $T # label(t149_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1502 (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]. 25.58/25.05 1503 (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]. 25.58/25.05 1504 $T # label(t8_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1505 $T # label(t164_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1506 (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]. 25.58/25.05 1507 $T # label(t156_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1508 (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]. 25.58/25.05 1509 (all A (v1_relat_1(k6_relat_1(A)) & v3_relat_2(k6_relat_1(A)) & v8_relat_2(k6_relat_1(A)) & v4_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]. 25.58/25.05 1510 (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) -> (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]. 25.58/25.05 1511 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (r2_hidden(D,k5_partfun1(A,B,C)) -> m2_relset_1(D,A,B) & v1_funct_1(D))))) # label(t168_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1512 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (k1_xboole_0 = B & v1_partfun1(C,A,B) -> k1_xboole_0 = A))) # label(t99_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1513 (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)) -> r1_partfun1(C,D))))) # label(t143_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1514 (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]. 25.58/25.05 1515 $T # label(t108_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1516 $T # label(dt_k5_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1517 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> -((all C (r2_hidden(C,k3_xboole_0(k1_relat_1(A),k1_relat_1(B))) -> k1_funct_1(B,C) = k1_funct_1(A,C))) & (all C (v1_relat_1(C) & v1_funct_1(C) -> k2_xboole_0(A,B) != C))))))) # label(t2_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1518 $T # label(t151_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1519 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> -(r1_partfun1(C,D) & r1_xboole_0(k5_partfun1(A,B,C),k5_partfun1(A,B,D)) & (k1_xboole_0 = B -> A = k1_xboole_0)))))) # label(t186_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1520 (all A k4_partfun1(A,k1_xboole_0) = k1_tarski(k1_xboole_0)) # label(t123_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1521 (all A all B all C (m2_relset_1(C,A,k1_xboole_0) & v1_funct_1(C) -> k10_relat_1(C,B) = k1_xboole_0)) # label(t68_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1522 (all A all B (m2_relset_1(B,A,k1_xboole_0) & v1_funct_1(B) -> B = k1_xboole_0)) # label(t64_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1523 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r1_tarski(C,D) -> r1_tarski(k3_partfun1(C,A,B),k3_partfun1(D,A,B))))))) # label(t81_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1524 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (v2_funct_1(C) -> v2_funct_1(k3_partfun1(C,A,B))))) # label(t94_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1525 $T # label(t13_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1526 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (r1_tarski(A,C) -> v1_funct_1(D) & m2_relset_1(D,C,B)))) # label(t30_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1527 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_relat_1(E) -> r1_tarski(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]. 25.58/25.05 1528 $T # label(t90_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1529 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (k4_relset_1(A,B,D) = k4_relset_1(A,B,C) & (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)))) -> D = C))))) # label(t34_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1530 (all A (p1_s3_partfun1(A) -> r2_hidden(f3_s3_partfun1(A),f2_s3_partfun1))) -> (exists A (v1_funct_1(A) & m2_relset_1(A,f1_s3_partfun1,f2_s3_partfun1) & (all B (r2_hidden(B,f1_s3_partfun1) & p1_s3_partfun1(B) <-> r2_hidden(B,k4_relset_1(f1_s3_partfun1,f2_s3_partfun1,A)))) & (all B (r2_hidden(B,k4_relset_1(f1_s3_partfun1,f2_s3_partfun1,A)) -> f3_s3_partfun1(B) = k1_funct_1(A,B))))) # label(s3_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1531 $T # label(dt_k4_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1532 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(B,C) & r1_tarski(A,C) -> r1_partfun1(A,B)))))))) # label(t139_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1533 $T # label(t109_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1534 $T # label(t166_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1535 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_partfun1(A,B) <-> (all C (r2_hidden(C,k3_xboole_0(k1_relat_1(A),k1_relat_1(B))) -> k1_funct_1(A,C) = k1_funct_1(B,C)))))))) # label(d6_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1536 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,k1_xboole_0) -> (A != k1_xboole_0 -> k1_xboole_0 = k5_partfun1(A,k1_xboole_0,B)))) # label(t172_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1537 (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]. 25.58/25.05 1538 $T # label(d1_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1539 $T # label(t89_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1540 (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]. 25.58/25.05 1541 $T # label(t161_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1542 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(D,k5_partfun1(A,B,C)) -> r1_partfun1(C,D)))))) # label(t171_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1543 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (r2_hidden(D,k5_partfun1(A,B,C)) -> v1_partfun1(D,A,B)))))) # label(t169_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1544 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_partfun1(k8_relat_1(A,B),B))) # label(t145_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1545 $T # label(t179_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1546 $T # label(t155_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1547 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(C,D) -> m2_relset_1(C,A,B) & v1_funct_1(C)))))) # label(t33_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1548 $T # label(t5_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1549 (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]. 25.58/25.05 1550 (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]. 25.58/25.05 1551 $T # label(t101_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1552 (all A all B k3_partfun1(k1_xboole_0,A,B) = k1_xboole_0) # label(t91_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1553 $T # label(t11_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1554 (all A all B all C all D (m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) -> (all E (m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> ((all F all G (r2_hidden(k4_tarski(F,G),k4_relset_1(k2_zfmisc_1(A,B),C,D)) -> k1_funct_1(D,k4_tarski(F,G)) = k1_funct_1(E,k4_tarski(F,G)))) & k4_relset_1(k2_zfmisc_1(A,B),C,D) = k4_relset_1(k2_zfmisc_1(A,B),C,E) -> D = E))))) # label(t35_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1555 (all A (m2_relset_1(k6_partfun1(A),A,A) & v1_partfun1(k6_partfun1(A),A,A))) # label(dt_k6_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1556 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k1_relat_1(C),A) & r1_tarski(k2_relat_1(C),B) -> k3_partfun1(C,A,B) = C))) # label(t85_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1557 (all A all B all C all D all E (v1_relat_1(E) & v1_funct_1(E) -> (r1_tarski(A,B) & r1_tarski(C,D) -> r1_tarski(k3_partfun1(E,A,C),k3_partfun1(E,B,D))))) # label(t84_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1558 (all A all B (m2_relset_1(B,A,k1_xboole_0) & v1_funct_1(B) -> k1_xboole_0 = k4_relset_1(A,k1_xboole_0,B) & k1_xboole_0 = k2_relat_1(B))) # label(t62_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1559 (all A all B exists C (m1_relset_1(C,A,B) & v1_funct_1(C) & v1_relat_1(C))) # label(rc2_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1560 $T # label(t181_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1561 $T # label(t160_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1562 $T # label(t98_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.05 1563 $T # label(t150_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1564 (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]. 25.58/25.06 1565 $T # label(t118_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1566 $T # label(t6_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1567 $T # label(t152_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1568 $T # label(t173_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1569 (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)) -> ((all C (r2_hidden(C,k1_relat_1(A)) -> k1_funct_1(B,C) = k1_funct_1(A,C))) <-> r1_partfun1(A,B))))))) # label(t132_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1570 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (-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]. 25.58/25.06 1571 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (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]. 25.58/25.06 1572 (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) -> k1_partfun1(A,B,C,D,E,F) = k5_relat_1(E,F))) # label(redefinition_k1_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1573 (all A all B (v1_funct_1(B) & m2_relset_1(B,k1_xboole_0,A) -> k1_tarski(B) = k5_partfun1(k1_xboole_0,A,B))) # label(t175_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1574 $T # label(t129_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1575 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> k9_relat_1(C,A) = k2_relat_1(C))) # label(t51_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1576 $T # label(t106_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1577 (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]. 25.58/25.06 1578 $T # label(t41_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1579 (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]. 25.58/25.06 1580 $T # label(t137_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1581 (all A all B all C all D all E (m2_relset_1(E,A,B) & v1_funct_1(E) -> (r1_tarski(B,D) & r1_tarski(A,C) -> v1_funct_1(E) & m2_relset_1(E,C,D)))) # label(t32_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1582 $T # label(t100_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1583 $T # label(t52_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1584 $T # label(t107_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1585 $T # label(t12_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1586 (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]. 25.58/25.06 1587 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(k4_relset_1(A,B,D),C) -> m2_relset_1(D,C,B) & v1_funct_1(D)))) # label(t28_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1588 (all A all B (v1_relat_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) -> (r1_partfun1(A,B) -> r1_partfun1(B,A)))) # label(symmetry_r1_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1589 $T # label(t21_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1590 (all A all B (p1_s5_partfun1(A,B) -> r2_hidden(f4_s5_partfun1(A,B),f3_s5_partfun1))) -> (exists A (m2_relset_1(A,k2_zfmisc_1(f1_s5_partfun1,f2_s5_partfun1),f3_s5_partfun1) & (all B all C (r2_hidden(k4_tarski(B,C),k4_relset_1(k2_zfmisc_1(f1_s5_partfun1,f2_s5_partfun1),f3_s5_partfun1,A)) -> k1_funct_1(A,k4_tarski(B,C)) = f4_s5_partfun1(B,C))) & (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)) <-> r2_hidden(C,f2_s5_partfun1) & p1_s5_partfun1(B,C) & r2_hidden(B,f1_s5_partfun1))) & v1_funct_1(A))) # label(s5_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1591 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (v2_funct_1(C) -> k3_partfun1(k2_funct_1(C),B,A) = k2_funct_1(k3_partfun1(C,A,B))))) # label(t95_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1592 $T # label(t50_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1593 (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]. 25.58/25.06 1594 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(A,k1_relat_1(D)) & r2_hidden(A,B) & r2_hidden(k1_funct_1(D,A),C) <-> r2_hidden(A,k4_relset_1(B,C,k3_partfun1(D,B,C)))))) # label(t78_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1595 $T # label(t9_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1596 (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) -> -((k1_xboole_0 = B -> k1_xboole_0 = A) & (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)))))) # label(t162_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1597 (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]. 25.58/25.06 1598 $T # label(t75_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1599 (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]. 25.58/25.06 1600 $T # label(t19_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1601 $T # label(t167_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1602 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,k1_tarski(A),B) -> r1_tarski(k9_relat_1(D,C),k1_tarski(k1_funct_1(D,A))))) # label(t71_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1603 (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]. 25.58/25.06 1604 $T # label(t111_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1605 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (v1_partfun1(C,A,B) <-> k1_tarski(C) = k5_partfun1(A,B,C)))) # label(t174_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1606 (all A all B all C all D (r2_hidden(A,f1_s4_partfun1) & p1_s4_partfun1(A,B,D) & p1_s4_partfun1(A,B,C) & r2_hidden(B,f2_s4_partfun1) -> D = C)) & (all A all B all C (r2_hidden(A,f1_s4_partfun1) & p1_s4_partfun1(A,B,C) & r2_hidden(B,f2_s4_partfun1) -> r2_hidden(C,f3_s4_partfun1))) -> (exists A (v1_funct_1(A) & m2_relset_1(A,k2_zfmisc_1(f1_s4_partfun1,f2_s4_partfun1),f3_s4_partfun1) & (all B all C (r2_hidden(k4_tarski(B,C),k4_relset_1(k2_zfmisc_1(f1_s4_partfun1,f2_s4_partfun1),f3_s4_partfun1,A)) -> p1_s4_partfun1(B,C,k1_funct_1(A,k4_tarski(B,C))))) & (all B all C (r2_hidden(B,f1_s4_partfun1) & (exists D p1_s4_partfun1(B,C,D)) & r2_hidden(C,f2_s4_partfun1) <-> r2_hidden(k4_tarski(B,C),k4_relset_1(k2_zfmisc_1(f1_s4_partfun1,f2_s4_partfun1),f3_s4_partfun1,A)))))) # label(s4_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1607 $T # label(t163_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1608 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> r1_tarski(k2_relat_1(k3_partfun1(C,A,B)),k2_relat_1(C)) & r1_tarski(k4_relset_1(A,B,k3_partfun1(C,A,B)),k1_relat_1(C)))) # label(t77_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1609 (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]. 25.58/25.06 1610 (all A all B all C (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k3_partfun1(A,B,C)) & m2_relset_1(k3_partfun1(A,B,C),B,C))) # label(dt_k3_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1611 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_partfun1(A,B) <-> (exists C (v1_relat_1(C) & v1_funct_1(C) & r1_tarski(B,C) & r1_tarski(A,C)))))))) # label(t131_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1612 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> k2_partfun1(A,B,k3_partfun1(D,A,B),C) = k3_partfun1(D,k3_xboole_0(A,C),B))) # label(t96_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1613 $T # label(t104_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1614 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_xboole_0(k1_relat_1(A),k1_relat_1(B)) -> r1_partfun1(A,B)))))) # label(t138_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1615 $T # label(t178_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1616 $T # label(t48_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1617 (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) -> D = E))))) -> v2_funct_1(C)))) # label(t38_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1618 (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]. 25.58/25.06 1619 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(A,B) -> r1_partfun1(A,B)))))) # label(t135_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1620 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_relat_1(A) = k1_relat_1(B) & r1_partfun1(A,B) -> A = B))))) # label(t136_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1621 (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]. 25.58/25.06 1622 $T # label(d2_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1623 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_funct_1(A) & m2_relset_1(A,k1_relat_1(A),k2_relat_1(A)))) # label(t24_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1624 (all A all B all C all D (m1_relset_1(C,A,B) & v1_funct_1(C) -> v1_funct_1(k2_partfun1(A,B,C,D)) & m2_relset_1(k2_partfun1(A,B,C,D),A,B))) # label(dt_k2_partfun1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1625 (all A all B all C (r2_hidden(A,k2_zfmisc_1(k1_tarski(B),k1_tarski(C))) -> C = k2_mcart_1(A) & B = k1_mcart_1(A))) # label(t14_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1626 (all A all B all C all D all E all F all G all H (m1_subset_1(E,k1_zfmisc_1(A)) & m1_subset_1(H,k1_zfmisc_1(D)) & m1_subset_1(G,k1_zfmisc_1(C)) & m1_subset_1(F,k1_zfmisc_1(B)) -> m1_subset_1(k14_mcart_1(A,B,C,D,E,F,G,H),k1_zfmisc_1(k4_zfmisc_1(A,B,C,D))))) # label(dt_k14_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1627 (all A all B all C all D -(C != k1_xboole_0 & k1_xboole_0 != D & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> k8_mcart_1(A,B,C,D,E) != E & E != k10_mcart_1(A,B,C,D,E) & E != k11_mcart_1(A,B,C,D,E) & k9_mcart_1(A,B,C,D,E) != E)) & B != k1_xboole_0 & A != k1_xboole_0)) # label(t62_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1628 (all A all B all C (r2_hidden(k1_mcart_1(A),B) & r2_hidden(k2_mcart_1(A),C) -> r2_hidden(A,k2_zfmisc_1(B,C)) | (all D all E A != k4_tarski(D,E)))) # label(t11_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1629 $T # label(dt_k17_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1630 (all A -(k1_xboole_0 != A & (all B -((all C all D all E all F -((r2_hidden(C,A) | r2_hidden(D,A)) & k4_mcart_1(C,D,E,F) = B)) & r2_hidden(B,A))))) # label(t34_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1631 (all A k20_mcart_1(A) = k2_mcart_1(k2_mcart_1(A))) # label(d17_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1632 (all A all B all C all D all E all F (k3_zfmisc_1(A,B,C) = k3_zfmisc_1(D,E,F) -> B = k1_xboole_0 | C = F & B = E & A = D | k1_xboole_0 = C | A = k1_xboole_0)) # label(t36_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1633 (all A ((exists B exists C k4_tarski(B,C) = A) -> A != k1_mcart_1(A) & k2_mcart_1(A) != A)) # label(t20_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1634 (all A k17_mcart_1(A) = k1_mcart_1(k1_mcart_1(A))) # label(d14_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1635 (all A all B all C all D all E all F (m1_subset_1(F,k4_zfmisc_1(A,B,C,D)) -> ((all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,C) -> (all J (m1_subset_1(J,D) -> (k4_mcart_1(G,H,I,J) = F -> E = I))))))))) -> k1_xboole_0 = A | B = k1_xboole_0 | k1_xboole_0 = C | E = k10_mcart_1(A,B,C,D,F) | D = k1_xboole_0))) # label(t81_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1636 (all A all B all C k3_zfmisc_1(k1_tarski(A),k1_tarski(B),k1_tarski(C)) = k1_tarski(k3_mcart_1(A,B,C))) # label(t39_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1637 (all A all B all C all D all E -(r2_hidden(A,k4_zfmisc_1(B,C,D,E)) & (all F all G all H all I -(r2_hidden(F,B) & r2_hidden(G,C) & r2_hidden(H,D) & A = k4_mcart_1(F,G,H,I) & r2_hidden(I,E))))) # label(t83_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1638 (all A all B all C all D (r2_hidden(A,k2_zfmisc_1(k2_tarski(B,C),k1_tarski(D))) -> (k1_mcart_1(A) = C | B = k1_mcart_1(A)) & D = k2_mcart_1(A))) # label(t17_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1639 (all A ((exists B exists C A = k4_tarski(B,C)) -> (all B (k1_mcart_1(A) = B <-> (all C all D (k4_tarski(C,D) = A -> B = C)))))) # label(d1_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1640 $T # label(dt_k3_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1641 (all A -(k1_xboole_0 != A & (all B -((all C all D all E all F all G (r2_hidden(C,D) & r2_hidden(F,G) & r2_hidden(G,B) & r2_hidden(E,F) & r2_hidden(D,E) -> r1_xboole_0(C,A))) & r2_hidden(B,A))))) # label(t6_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1642 $T # label(dt_k1_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1643 (all A all B all C all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> m1_subset_1(k7_mcart_1(A,B,C,D),C))) # label(dt_k7_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1644 (all A all B all C (r2_hidden(A,k2_zfmisc_1(k1_tarski(B),C)) -> B = k1_mcart_1(A) & r2_hidden(k2_mcart_1(A),C))) # label(t12_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1645 (all A -((all B -(r1_xboole_0(B,A) & r2_hidden(B,A))) & k1_xboole_0 != A)) # label(t1_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1646 $T # label(dt_k4_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1647 (all A all B all C all D k2_tarski(k3_mcart_1(A,B,D),k3_mcart_1(A,C,D)) = k3_zfmisc_1(k1_tarski(A),k2_tarski(B,C),k1_tarski(D))) # label(t41_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1648 (all A all B all C -(k1_xboole_0 != C & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> (all E (m1_subset_1(E,A) -> ((all F all G all H (D = k3_mcart_1(F,G,H) -> E = F)) <-> E = k5_mcart_1(A,B,C,D)))))) & k1_xboole_0 != B & A != k1_xboole_0)) # label(d5_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1649 $T # label(dt_k19_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1650 (all A all B all C all D all E (m1_subset_1(E,k3_zfmisc_1(A,B,C)) -> ((all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (k3_mcart_1(F,G,H) = E -> D = H))))))) -> B = k1_xboole_0 | D = k7_mcart_1(A,B,C,E) | C = k1_xboole_0 | A = k1_xboole_0))) # label(t71_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1651 (all A all B all C (r2_hidden(A,k2_zfmisc_1(B,C)) -> A != k2_mcart_1(A) & A != k1_mcart_1(A))) # label(t67_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1652 (all A all B all C all D all E all F (m1_subset_1(F,k4_zfmisc_1(A,B,C,D)) -> ((all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,C) -> (all J (m1_subset_1(J,D) -> (k4_mcart_1(G,H,I,J) = F -> E = G))))))))) -> k1_xboole_0 = A | B = k1_xboole_0 | k8_mcart_1(A,B,C,D,F) = E | k1_xboole_0 = D | C = k1_xboole_0))) # label(t79_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1653 (all A -(A != k1_xboole_0 & (all B -((all C all D all E -(B = k3_mcart_1(C,D,E) & (r2_hidden(C,A) | r2_hidden(D,A)))) & r2_hidden(B,A))))) # label(t29_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1654 (all A -(A != k1_xboole_0 & (all B -((all C (r2_hidden(C,B) -> r1_xboole_0(C,A))) & r2_hidden(B,A))))) # label(t2_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1655 (all A all B -(A != k1_xboole_0 & B != k1_xboole_0 & -(all C (m1_subset_1(C,k2_zfmisc_1(A,B)) -> k4_tarski(k1_mcart_1(C),k2_mcart_1(C)) = C)))) # label(t24_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1656 (all A all B all C -(k1_xboole_0 != A & C != k1_xboole_0 & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> (all E (m1_subset_1(E,B) -> ((all F all G all H (D = k3_mcart_1(F,G,H) -> E = G)) <-> k6_mcart_1(A,B,C,D) = E))))) & k1_xboole_0 != B)) # label(d6_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1657 (all A all B all C k4_tarski(k4_tarski(A,B),C) = k3_mcart_1(A,B,C)) # label(d3_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1658 (all A all B (k4_zfmisc_1(B,B,B,B) = k4_zfmisc_1(A,A,A,A) -> B = A)) # label(t58_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1659 $T # label(dt_k2_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1660 (all A all B all C all D all E all F all G all H -(k1_xboole_0 != A & B != k1_xboole_0 & k1_xboole_0 != D & k1_xboole_0 != F & G != k1_xboole_0 & (exists I ((exists J (-(k8_mcart_1(E,F,G,H,J) = k8_mcart_1(A,B,C,D,I) & k9_mcart_1(E,F,G,H,J) = k9_mcart_1(A,B,C,D,I) & k11_mcart_1(E,F,G,H,J) = k11_mcart_1(A,B,C,D,I) & k10_mcart_1(A,B,C,D,I) = k10_mcart_1(E,F,G,H,J)) & J = I & m1_subset_1(J,k4_zfmisc_1(E,F,G,H)))) & m1_subset_1(I,k4_zfmisc_1(A,B,C,D)))) & H != k1_xboole_0 & E != k1_xboole_0 & k1_xboole_0 != C)) # label(t86_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1661 (all A all B all C all D all E k3_zfmisc_1(k1_tarski(A),k2_tarski(B,C),k2_tarski(D,E)) = k2_enumset1(k3_mcart_1(A,B,D),k3_mcart_1(A,C,D),k3_mcart_1(A,B,E),k3_mcart_1(A,C,E))) # label(t45_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1662 (all A all B all C (r2_hidden(A,k2_zfmisc_1(B,C)) -> r2_hidden(k2_mcart_1(A),C) & r2_hidden(k1_mcart_1(A),B))) # label(t10_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1663 (all A all B all C all D all E all F (m1_subset_1(D,k1_zfmisc_1(A)) & m1_subset_1(F,k1_zfmisc_1(C)) & m1_subset_1(E,k1_zfmisc_1(B)) -> m1_subset_1(k13_mcart_1(A,B,C,D,E,F),k1_zfmisc_1(k3_zfmisc_1(A,B,C))))) # label(dt_k13_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1664 (all A -(A != k1_xboole_0 & (all B -(r2_hidden(B,A) & (all C all D all E (r2_hidden(E,B) & r2_hidden(D,E) & r2_hidden(C,D) -> r1_xboole_0(C,A))))))) # label(t4_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1665 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> ((all C (r2_hidden(C,k1_relat_1(A)) -> k1_funct_1(B,C) = k1_mcart_1(k1_funct_1(A,C)))) & k1_relat_1(A) = k1_relat_1(B) <-> k15_mcart_1(A) = B))))) # label(d12_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1666 (all A all B all C all D all E k3_zfmisc_1(k2_tarski(A,B),k2_tarski(C,D),k1_tarski(E)) = k2_enumset1(k3_mcart_1(A,C,E),k3_mcart_1(B,C,E),k3_mcart_1(A,D,E),k3_mcart_1(B,D,E))) # label(t43_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1667 (all A all B all C all D all E all F (m1_subset_1(F,k4_zfmisc_1(A,B,C,D)) -> ((all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,C) -> (all J (m1_subset_1(J,D) -> (F = k4_mcart_1(G,H,I,J) -> E = J))))))))) -> k11_mcart_1(A,B,C,D,F) = E | D = k1_xboole_0 | k1_xboole_0 = C | k1_xboole_0 = B | A = k1_xboole_0))) # label(t82_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1668 $T # label(t30_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1669 (all A all B all C all D k1_tarski(k4_mcart_1(A,B,C,D)) = k4_zfmisc_1(k1_tarski(A),k1_tarski(B),k1_tarski(C),k1_tarski(D))) # label(t65_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1670 (all A all B all C all D all E all F (-r1_xboole_0(k3_zfmisc_1(A,B,C),k3_zfmisc_1(D,E,F)) -> -r1_xboole_0(C,F) & -r1_xboole_0(B,E) & -r1_xboole_0(A,D))) # label(t52_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1671 $T # label(dt_k18_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1672 $T # label(t21_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1673 (all A all B all C all D -((all E all F all G -(r2_hidden(F,C) & r2_hidden(G,D) & A = k3_mcart_1(E,F,G) & r2_hidden(E,B))) & r2_hidden(A,k3_zfmisc_1(B,C,D)))) # label(t72_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1674 (all A all B all C all D all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (all F (m1_subset_1(F,k1_zfmisc_1(B)) -> (all G (m1_subset_1(G,k1_zfmisc_1(C)) -> (all H (m1_subset_1(H,k1_zfmisc_1(D)) -> (all I (m1_subset_1(I,k4_zfmisc_1(A,B,C,D)) -> (r2_hidden(I,k4_zfmisc_1(E,F,G,H)) -> r2_hidden(k9_mcart_1(A,B,C,D,I),F) & r2_hidden(k11_mcart_1(A,B,C,D,I),H) & r2_hidden(k10_mcart_1(A,B,C,D,I),G) & r2_hidden(k8_mcart_1(A,B,C,D,I),E)))))))))))) # label(t87_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1675 (all A all B all C all D all E all F all G all H (m1_subset_1(E,k1_zfmisc_1(A)) & m1_subset_1(F,k1_zfmisc_1(B)) & m1_subset_1(H,k1_zfmisc_1(D)) & m1_subset_1(G,k1_zfmisc_1(C)) -> k4_zfmisc_1(E,F,G,H) = k14_mcart_1(A,B,C,D,E,F,G,H))) # label(redefinition_k14_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1676 (all A all B all C all D -(B != k1_xboole_0 & (exists E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) & (exists F exists G exists H exists I (k4_mcart_1(F,G,H,I) = E & -(k9_mcart_1(A,B,C,D,E) = G & I = k11_mcart_1(A,B,C,D,E) & k10_mcart_1(A,B,C,D,E) = H & k8_mcart_1(A,B,C,D,E) = F))))) & k1_xboole_0 != D & k1_xboole_0 != C & A != k1_xboole_0)) # label(t59_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1677 (all A all B all C all D k2_tarski(k3_mcart_1(A,C,D),k3_mcart_1(B,C,D)) = k3_zfmisc_1(k2_tarski(A,B),k1_tarski(C),k1_tarski(D))) # label(t40_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1678 (all A all B all C all D all E ((all F (r2_hidden(F,A) <-> (exists G exists H exists I exists J (r2_hidden(G,B) & r2_hidden(J,E) & k4_mcart_1(G,H,I,J) = F & r2_hidden(I,D) & r2_hidden(H,C))))) -> A = k4_zfmisc_1(B,C,D,E))) # label(t85_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1679 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k16_mcart_1(A)) & v1_funct_1(k16_mcart_1(A)))) # label(dt_k16_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1680 (all A all B all C all D all E all F all G all H (k4_mcart_1(A,B,C,D) = k4_mcart_1(E,F,G,H) -> A = E & G = C & D = H & F = B)) # label(t33_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1681 (all A all B all C all D k4_mcart_1(A,B,C,D) = k4_tarski(k3_mcart_1(A,B,C),D)) # label(d4_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1682 (all A all B all C (r2_hidden(A,k2_zfmisc_1(B,k1_tarski(C))) -> k2_mcart_1(A) = C & r2_hidden(k1_mcart_1(A),B))) # label(t13_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1683 (all A all B all C all D -(k1_xboole_0 != B & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,B) -> (k9_mcart_1(A,B,C,D,E) = F <-> (all G all H all I all J (E = k4_mcart_1(G,H,I,J) -> H = F))))))) & k1_xboole_0 != D & k1_xboole_0 != C & A != k1_xboole_0)) # label(d9_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1684 (all A all B all C all D k2_zfmisc_1(k2_tarski(A,B),k2_tarski(C,D)) = k2_enumset1(k4_tarski(A,C),k4_tarski(A,D),k4_tarski(B,C),k4_tarski(B,D))) # label(t25_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1685 (all A ((exists B exists C k4_tarski(B,C) = A) -> (all B (B = k2_mcart_1(A) <-> (all C all D (A = k4_tarski(C,D) -> D = B)))))) # label(d2_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1686 (all A all B all C (-(-r1_tarski(A,k3_zfmisc_1(C,A,B)) & -r1_tarski(A,k3_zfmisc_1(B,C,A)) & -r1_tarski(A,k3_zfmisc_1(A,B,C))) -> A = k1_xboole_0)) # label(t49_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1687 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (all E (m1_subset_1(E,k1_zfmisc_1(B)) -> (all F (m1_subset_1(F,k1_zfmisc_1(C)) -> (all G (m1_subset_1(G,k3_zfmisc_1(A,B,C)) -> (r2_hidden(G,k3_zfmisc_1(D,E,F)) -> r2_hidden(k5_mcart_1(A,B,C,G),D) & r2_hidden(k6_mcart_1(A,B,C,G),E) & r2_hidden(k7_mcart_1(A,B,C,G),F)))))))))) # label(t76_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1688 (all A all B all C all D all E all F (m1_subset_1(F,k4_zfmisc_1(A,B,C,D)) -> ((all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,C) -> (all J (m1_subset_1(J,D) -> (k4_mcart_1(G,H,I,J) = F -> E = H))))))))) -> k1_xboole_0 = A | D = k1_xboole_0 | k9_mcart_1(A,B,C,D,F) = E | C = k1_xboole_0 | B = k1_xboole_0))) # label(t80_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1689 $T # label(t22_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1690 (all A -(A != k1_xboole_0 & (all B -(r2_hidden(B,A) & (all C all D -((r2_hidden(C,A) | r2_hidden(D,A)) & k4_tarski(C,D) = B)))))) # label(t9_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1691 (all A all B all C all D all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> m1_subset_1(k10_mcart_1(A,B,C,D,E),C))) # label(dt_k10_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1692 (all A all B all C all D -(k1_xboole_0 != B & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,D) -> (F = k11_mcart_1(A,B,C,D,E) <-> (all G all H all I all J (E = k4_mcart_1(G,H,I,J) -> J = F))))))) & D != k1_xboole_0 & k1_xboole_0 != C & A != k1_xboole_0)) # label(d11_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1693 (all A -((all B -((all C all D all E all F (r2_hidden(D,E) & r2_hidden(E,F) & r2_hidden(F,B) & r2_hidden(C,D) -> r1_xboole_0(C,A))) & r2_hidden(B,A))) & k1_xboole_0 != A)) # label(t5_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1694 (all A all B all C all D all E (m1_subset_1(E,k3_zfmisc_1(A,B,C)) -> ((all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (k3_mcart_1(F,G,H) = E -> G = D))))))) -> C = k1_xboole_0 | k6_mcart_1(A,B,C,E) = D | k1_xboole_0 = B | k1_xboole_0 = A))) # label(t70_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1695 (all A all B all C all D k2_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A,B),C),D) = k4_zfmisc_1(A,B,C,D)) # label(t53_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1696 (all A all B all C all D all E all F (m1_subset_1(D,k1_zfmisc_1(A)) & m1_subset_1(E,k1_zfmisc_1(B)) & m1_subset_1(F,k1_zfmisc_1(C)) -> k3_zfmisc_1(D,E,F) = k13_mcart_1(A,B,C,D,E,F))) # label(redefinition_k13_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1697 (all A all B all C all D all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> m1_subset_1(k8_mcart_1(A,B,C,D,E),A))) # label(dt_k8_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1698 (all A all B all C -(A != k1_xboole_0 & k1_xboole_0 != C & (exists D ((exists E exists F exists G (-(k7_mcart_1(A,B,C,D) = G & F = k6_mcart_1(A,B,C,D) & k5_mcart_1(A,B,C,D) = E) & k3_mcart_1(E,F,G) = D)) & m1_subset_1(D,k3_zfmisc_1(A,B,C)))) & B != k1_xboole_0)) # label(t47_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.06 1699 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> ((all C (r2_hidden(C,k1_relat_1(A)) -> k2_mcart_1(k1_funct_1(A,C)) = k1_funct_1(B,C))) & k1_relat_1(B) = k1_relat_1(A) <-> B = k16_mcart_1(A)))))) # label(d13_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1700 (all A all B all C (B != k1_xboole_0 & C != k1_xboole_0 & A != k1_xboole_0 <-> k3_zfmisc_1(A,B,C) != k1_xboole_0)) # label(t35_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1701 (all A all B all C all D all E (r2_hidden(A,k2_zfmisc_1(k2_tarski(B,C),k2_tarski(D,E))) -> (C = k1_mcart_1(A) | B = k1_mcart_1(A)) & (k2_mcart_1(A) = D | E = k2_mcart_1(A)))) # label(t19_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1702 (all A all B all C all D k3_mcart_1(k4_tarski(A,B),C,D) = k4_mcart_1(A,B,C,D)) # label(t32_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1703 (all A all B all C all D all E all F k6_enumset1(k3_mcart_1(A,C,E),k3_mcart_1(A,D,E),k3_mcart_1(A,C,F),k3_mcart_1(A,D,F),k3_mcart_1(B,C,E),k3_mcart_1(B,D,E),k3_mcart_1(B,C,F),k3_mcart_1(B,D,F)) = k3_zfmisc_1(k2_tarski(A,B),k2_tarski(C,D),k2_tarski(E,F))) # label(t46_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1704 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k15_mcart_1(A)) & v1_funct_1(k15_mcart_1(A)))) # label(dt_k15_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1705 (all A all B all C all D k4_mcart_1(A,B,C,D) = k4_tarski(k4_tarski(k4_tarski(A,B),C),D)) # label(t31_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1706 (all A all B all C all D all E (m1_subset_1(E,k3_zfmisc_1(A,B,C)) -> ((all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (k3_mcart_1(F,G,H) = E -> D = F))))))) -> k5_mcart_1(A,B,C,E) = D | k1_xboole_0 = C | k1_xboole_0 = B | k1_xboole_0 = A))) # label(t69_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1707 (all A all B all C all D all E k2_enumset1(k3_mcart_1(A,C,D),k3_mcart_1(B,C,D),k3_mcart_1(A,C,E),k3_mcart_1(B,C,E)) = k3_zfmisc_1(k2_tarski(A,B),k1_tarski(C),k2_tarski(D,E))) # label(t44_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1708 (all A all B all C all D k3_zfmisc_1(k2_zfmisc_1(A,B),C,D) = k4_zfmisc_1(A,B,C,D)) # label(t54_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1709 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(C,k1_zfmisc_1(A)) -> m1_subset_1(k12_mcart_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))))) # label(dt_k12_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1710 (all A all B all C -(k1_xboole_0 != A & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> (all E (m1_subset_1(E,C) -> (k7_mcart_1(A,B,C,D) = E <-> (all F all G all H (k3_mcart_1(F,G,H) = D -> H = E))))))) & C != k1_xboole_0 & k1_xboole_0 != B)) # label(d7_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1711 (all A all B all C all D k3_zfmisc_1(k1_tarski(A),k1_tarski(B),k2_tarski(C,D)) = k2_tarski(k3_mcart_1(A,B,C),k3_mcart_1(A,B,D))) # label(t42_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1712 (all A all B all C all D all E all F -(C != k1_xboole_0 & (exists G (m1_subset_1(G,k3_zfmisc_1(A,B,C)) & (exists H (H = G & -(k5_mcart_1(A,B,C,G) = k5_mcart_1(D,E,F,H) & k7_mcart_1(A,B,C,G) = k7_mcart_1(D,E,F,H) & k6_mcart_1(A,B,C,G) = k6_mcart_1(D,E,F,H)) & m1_subset_1(H,k3_zfmisc_1(D,E,F)))))) & k1_xboole_0 != F & k1_xboole_0 != E & D != k1_xboole_0 & B != k1_xboole_0 & A != k1_xboole_0)) # label(t75_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1713 (all A all B all C all D all E all F (r2_hidden(k3_mcart_1(A,B,C),k3_zfmisc_1(D,E,F)) <-> r2_hidden(A,D) & r2_hidden(C,F) & r2_hidden(B,E))) # label(t73_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1714 (all A all B all C all D (r2_hidden(A,k2_zfmisc_1(k1_tarski(B),k2_tarski(C,D))) -> (D = k2_mcart_1(A) | C = k2_mcart_1(A)) & B = k1_mcart_1(A))) # label(t18_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1715 (all A k1_mcart_1(k2_mcart_1(A)) = k19_mcart_1(A)) # label(d16_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1716 (all A all B all C -(k1_xboole_0 != C & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> k1_mcart_1(k1_mcart_1(D)) = k5_mcart_1(A,B,C,D) & k2_mcart_1(k1_mcart_1(D)) = k6_mcart_1(A,B,C,D) & k7_mcart_1(A,B,C,D) = k2_mcart_1(D))) & B != k1_xboole_0 & k1_xboole_0 != A)) # label(t50_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1717 (all A all B all C all D all E all F (k3_mcart_1(A,B,C) = k3_mcart_1(D,E,F) -> E = B & F = C & A = D)) # label(t28_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1718 (all A all B all C all D all E all F all G all H (r1_tarski(A,B) & r1_tarski(C,D) & r1_tarski(G,H) & r1_tarski(E,F) -> r1_tarski(k4_zfmisc_1(A,C,E,G),k4_zfmisc_1(B,D,F,H)))) # label(t88_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1719 (all A all B all C all D (r2_hidden(A,k2_zfmisc_1(k2_tarski(B,C),D)) -> r2_hidden(k2_mcart_1(A),D) & (C = k1_mcart_1(A) | k1_mcart_1(A) = B))) # label(t15_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1720 (all A all B all C all D (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) -> k12_mcart_1(A,B,C,D) = k2_zfmisc_1(C,D))) # label(redefinition_k12_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1721 (all A all B all C -(k1_xboole_0 != A & B != k1_xboole_0 & C != k1_xboole_0 & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> D = k3_mcart_1(k5_mcart_1(A,B,C,D),k6_mcart_1(A,B,C,D),k7_mcart_1(A,B,C,D)))))) # label(t48_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1722 (all A all B all C all D -(B != k1_xboole_0 & k1_xboole_0 != C & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,C) -> (F = k10_mcart_1(A,B,C,D,E) <-> (all G all H all I all J (E = k4_mcart_1(G,H,I,J) -> I = F))))))) & D != k1_xboole_0 & k1_xboole_0 != A)) # label(d10_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1723 (all A all B all C all D all E all F all G all H (-r1_xboole_0(k4_zfmisc_1(A,B,C,D),k4_zfmisc_1(E,F,G,H)) -> -r1_xboole_0(B,F) & -r1_xboole_0(C,G) & -r1_xboole_0(D,H) & -r1_xboole_0(A,E))) # label(t64_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1724 (all A all B all C all D -(A != k1_xboole_0 & k1_xboole_0 != B & C != k1_xboole_0 & D != k1_xboole_0 & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,A) -> (k8_mcart_1(A,B,C,D,E) = F <-> (all G all H all I all J (E = k4_mcart_1(G,H,I,J) -> F = G))))))))) # label(d8_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1725 (all A ((exists B exists C A = k4_tarski(B,C)) -> A = k4_tarski(k1_mcart_1(A),k2_mcart_1(A)))) # label(t8_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1726 (all A all B all C all D all E all F all G all H (k4_zfmisc_1(E,F,G,H) = k4_zfmisc_1(A,B,C,D) -> G = C & H = D & B = F & A = E | k4_zfmisc_1(A,B,C,D) = k1_xboole_0)) # label(t57_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1727 (all A all B all C all D all E all F all G all H (r2_hidden(A,E) & r2_hidden(B,F) & r2_hidden(C,G) & r2_hidden(D,H) <-> r2_hidden(k4_mcart_1(A,B,C,D),k4_zfmisc_1(E,F,G,H)))) # label(t84_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1728 (all A all B -(-(all C (m1_subset_1(C,k2_zfmisc_1(A,B)) -> C != k1_mcart_1(C) & k2_mcart_1(C) != C)) & B != k1_xboole_0 & A != k1_xboole_0)) # label(t26_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1729 $T # label(dt_k20_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1730 (all A all B all C all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> m1_subset_1(k6_mcart_1(A,B,C,D),B))) # label(dt_k6_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1731 (all A all B all C all D (-(-r1_tarski(A,k4_zfmisc_1(A,B,C,D)) & -r1_tarski(A,k4_zfmisc_1(C,D,A,B)) & -r1_tarski(A,k4_zfmisc_1(D,A,B,C)) & -r1_tarski(A,k4_zfmisc_1(B,C,D,A))) -> A = k1_xboole_0)) # label(t63_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1732 (all A all B all C all D (r2_hidden(A,k2_zfmisc_1(B,k2_tarski(C,D))) -> r2_hidden(k1_mcart_1(A),B) & (k2_mcart_1(A) = D | C = k2_mcart_1(A)))) # label(t16_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1733 (all A all B all C all D -(k1_xboole_0 != A & k1_xboole_0 != B & k1_xboole_0 != C & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> k8_mcart_1(A,B,C,D,E) = k1_mcart_1(k1_mcart_1(k1_mcart_1(E))) & k10_mcart_1(A,B,C,D,E) = k2_mcart_1(k1_mcart_1(E)) & k11_mcart_1(A,B,C,D,E) = k2_mcart_1(E) & k9_mcart_1(A,B,C,D,E) = k2_mcart_1(k1_mcart_1(k1_mcart_1(E))))) & k1_xboole_0 != D)) # label(t61_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1734 (all A all B all C all D all E all F (k18_mcart_1(k4_tarski(k4_tarski(A,B),C)) = B & k19_mcart_1(k4_tarski(F,k4_tarski(D,E))) = D & k20_mcart_1(k4_tarski(F,k4_tarski(D,E))) = E & k17_mcart_1(k4_tarski(k4_tarski(A,B),C)) = A)) # label(t89_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1735 (all A all B all C all D all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> m1_subset_1(k9_mcart_1(A,B,C,D,E),B))) # label(dt_k9_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1736 (all A all B all C all D all E all F (k3_zfmisc_1(A,B,C) = k3_zfmisc_1(D,E,F) -> A = D & B = E & C = F | k1_xboole_0 = k3_zfmisc_1(A,B,C))) # label(t37_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1737 (all A all B all C -(k1_xboole_0 != A & C != k1_xboole_0 & -(all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> D != k5_mcart_1(A,B,C,D) & k6_mcart_1(A,B,C,D) != D & D != k7_mcart_1(A,B,C,D))) & B != k1_xboole_0)) # label(t51_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1738 (all A all B (A = k1_mcart_1(k4_tarski(A,B)) & k2_mcart_1(k4_tarski(A,B)) = B)) # label(t7_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1739 (all A -(k1_xboole_0 != A & (all B -(r2_hidden(B,A) & (all C all D (r2_hidden(C,D) & r2_hidden(D,B) -> r1_xboole_0(C,A))))))) # label(t3_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1740 (all A all B all C all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> m1_subset_1(k5_mcart_1(A,B,C,D),A))) # label(dt_k5_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1741 (all A all B all C all D (k1_xboole_0 != A & k1_xboole_0 != C & k1_xboole_0 != D & B != k1_xboole_0 <-> k4_zfmisc_1(A,B,C,D) != k1_xboole_0)) # label(t55_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1742 (all A all B all C (r2_hidden(A,k2_zfmisc_1(B,C)) -> k4_tarski(k1_mcart_1(A),k2_mcart_1(A)) = A)) # label(t23_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1743 (all A k18_mcart_1(A) = k2_mcart_1(k1_mcart_1(A))) # label(d15_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1744 (all A all B all C all D all E all F (r1_tarski(E,F) & r1_tarski(C,D) & r1_tarski(A,B) -> r1_tarski(k3_zfmisc_1(A,C,E),k3_zfmisc_1(B,D,F)))) # label(t77_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1745 $T # label(t27_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1746 (all A all B all C all D all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> m1_subset_1(k11_mcart_1(A,B,C,D,E),D))) # label(dt_k11_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1747 (all A all B all C all D -(k1_xboole_0 != B & -(all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> k4_mcart_1(k8_mcart_1(A,B,C,D,E),k9_mcart_1(A,B,C,D,E),k10_mcart_1(A,B,C,D,E),k11_mcart_1(A,B,C,D,E)) = E)) & D != k1_xboole_0 & k1_xboole_0 != C & A != k1_xboole_0)) # label(t60_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1748 (all A all B all C all D all E all F all G all H (k4_zfmisc_1(E,F,G,H) = k4_zfmisc_1(A,B,C,D) -> A = k1_xboole_0 | k1_xboole_0 = C | F = B & H = D & G = C & A = E | D = k1_xboole_0 | k1_xboole_0 = B)) # label(t56_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1749 (all A all B (k2_zfmisc_1(A,B) != k1_xboole_0 -> (all C (m1_subset_1(C,k2_zfmisc_1(A,B)) -> C != k1_mcart_1(C) & C != k2_mcart_1(C))))) # label(t66_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1750 (all A all B all C all D ((all E (r2_hidden(E,A) <-> (exists F exists G exists H (r2_hidden(H,D) & k3_mcart_1(F,G,H) = E & r2_hidden(G,C) & r2_hidden(F,B))))) -> A = k3_zfmisc_1(B,C,D))) # label(t74_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1751 (all A all B (k3_zfmisc_1(B,B,B) = k3_zfmisc_1(A,A,A) -> B = A)) # label(t38_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1752 (all A all B all C all D all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> -(B != k1_xboole_0 & (exists F exists G exists H exists I (k4_mcart_1(F,G,H,I) = E & -(F = k8_mcart_1(A,B,C,D,E) & k11_mcart_1(A,B,C,D,E) = I & k10_mcart_1(A,B,C,D,E) = H & G = k9_mcart_1(A,B,C,D,E)))) & D != k1_xboole_0 & C != k1_xboole_0 & A != k1_xboole_0))) # label(t78_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1753 (all A all B all C all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> -(k1_xboole_0 != B & (exists E exists F exists G (D = k3_mcart_1(E,F,G) & -(F = k6_mcart_1(A,B,C,D) & G = k7_mcart_1(A,B,C,D) & k5_mcart_1(A,B,C,D) = E))) & C != k1_xboole_0 & A != k1_xboole_0))) # label(t68_mcart_1) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1754 $T # label(t16_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1755 (all A v4_relat_2(k1_wellord2(A))) # label(t5_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1756 (all A (v1_relat_1(A) -> v3_ordinal1(k2_wellord2(A)))) # label(dt_k2_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1757 $T # label(t24_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1758 (all A (v3_ordinal1(A) -> (all B (r1_tarski(B,A) -> v2_wellord1(k1_wellord2(B)))))) # label(t9_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1759 $T # label(t1_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1760 (all A -(r2_hidden(A,f1_s2_wellord2) & (all B all C -(r2_hidden(B,f2_s2_wellord2) & r2_hidden(C,f3_s2_wellord2) & p1_s2_wellord2(A,B,C))))) -> (exists A (v1_funct_1(A) & (exists B (f1_s2_wellord2 = k1_relat_1(A) & f1_s2_wellord2 = k1_relat_1(B) & (all C (r2_hidden(C,f1_s2_wellord2) -> p1_s2_wellord2(C,k1_funct_1(A,C),k1_funct_1(B,C)))) & v1_funct_1(B) & v1_relat_1(B))) & v1_relat_1(A))) # label(s2_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1761 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) -> (A = k2_wellord2(B) <-> r1_wellord2(A,B)))))) # label(d3_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1762 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(A,B) -> k1_wellord1(k1_wellord2(B),A) = A))))) # label(t10_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1763 (all A v8_relat_2(k1_wellord2(A))) # label(t3_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1764 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_wellord1(k1_wellord2(A),k1_wellord2(B)) -> A = B))))) # label(t11_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1765 (all A all B (r2_tarski(A,B) <-> r2_wellord2(A,B))) # label(redefinition_r2_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1766 (all A (v1_relat_1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r4_wellord1(A,k1_wellord2(B)) & r4_wellord1(A,k1_wellord2(C)) -> B = C))))))) # label(t12_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1767 (all A all B all C (r2_wellord2(B,C) & r2_wellord2(A,B) -> r2_wellord2(A,C))) # label(t22_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1768 (all A all B (v1_relat_1(B) -> ((all C all D (r2_hidden(C,A) & r2_hidden(D,A) -> (r2_hidden(k4_tarski(C,D),B) <-> r1_tarski(C,D)))) & k3_relat_1(B) = A <-> k1_wellord2(A) = B))) # label(d1_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1769 (all A all B (v3_ordinal1(B) -> (r1_tarski(A,B) -> r1_ordinal1(k2_wellord2(k1_wellord2(A)),B)))) # label(t17_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1770 (all A v1_relat_2(k1_wellord2(A))) # label(t2_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1771 (all A all B (v1_relat_1(B) -> (r2_wellord1(B,A) -> A = k3_relat_1(k2_wellord1(B,A)) & v2_wellord1(k2_wellord1(B,A))))) # label(t25_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1772 (all A (-v1_xboole_0(A) -> -((all B -(k1_xboole_0 = B & r2_hidden(B,A))) & (all B (v1_funct_1(B) & v1_relat_1(B) -> -((all C (r2_hidden(C,A) -> r2_hidden(k1_funct_1(B,C),C))) & k1_relat_1(B) = A)))))) # label(t28_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1773 (all A (v3_ordinal1(A) -> v1_wellord1(k1_wellord2(A)))) # label(t6_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1774 (all A v1_relat_1(k1_wellord2(A))) # label(dt_k1_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1775 $T # label(t18_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1776 (all A (v1_relat_1(A) -> -(v2_wellord1(A) & (all B (v3_ordinal1(B) -> -r4_wellord1(A,k1_wellord2(B))))))) # label(t14_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1777 (all A all B ((exists C (v1_relat_1(C) & k1_relat_1(C) = A & k2_relat_1(C) = B & v2_funct_1(C) & v1_funct_1(C))) <-> r2_wellord2(A,B))) # label(d4_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1778 (all A -((all B -(p1_s1_wellord2(A,B) & r2_hidden(B,f2_s1_wellord2))) & r2_hidden(A,f1_s1_wellord2))) -> (exists A (r1_tarski(k2_relat_1(A),f2_s1_wellord2) & (all B (r2_hidden(B,f1_s1_wellord2) -> p1_s1_wellord2(B,k1_funct_1(A,B)))) & f1_s1_wellord2 = k1_relat_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(s1_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1779 (all A (v1_relat_1(A) -> -((all B (v3_ordinal1(B) -> -r4_wellord1(A,k1_wellord2(B)))) & (all B -((all C (v3_ordinal1(C) -> -r4_wellord1(k2_wellord1(A,k1_wellord1(A,B)),k1_wellord2(C)))) & r2_hidden(B,k3_relat_1(A)))) & v2_wellord1(A)))) # label(t13_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1780 $T # label(t21_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1781 (all A all B r2_wellord2(A,A)) # label(reflexivity_r2_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1782 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> (all B (v3_ordinal1(B) -> (B = k2_wellord2(A) <-> r4_wellord1(A,k1_wellord2(B)))))))) # label(d2_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1783 (all A exists B (r2_wellord1(B,A) & v1_relat_1(B))) # label(t26_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1784 $T # label(t20_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1785 (all A all B (r1_tarski(A,B) -> k2_wellord1(k1_wellord2(B),A) = k1_wellord2(A))) # label(t8_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1786 $T # label(t23_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1787 (all A all B (r2_wellord2(A,B) -> r2_wellord2(B,A))) # label(symmetry_r2_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1788 $T # label(t15_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1789 (all A (v3_ordinal1(A) -> v6_relat_2(k1_wellord2(A)))) # label(t4_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1790 (all A (v3_ordinal1(A) -> v2_wellord1(k1_wellord2(A)))) # label(t7_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1791 $T # label(t19_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1792 (all A (-v1_xboole_0(A) -> -((all B exists C (r2_hidden(C,A) & (all D k1_tarski(D) != k3_xboole_0(B,C)))) & (all B all C (r2_hidden(B,A) & r2_hidden(C,A) -> r1_xboole_0(B,C) | B = C)) & (all B -(r2_hidden(B,A) & k1_xboole_0 = B))))) # label(t27_wellord2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1793 $T # label(t135_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1794 $T # label(t15_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1795 $T # label(t91_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1796 $T # label(t2_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1797 (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]. 25.58/25.07 1798 (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) -> m1_subset_1(k8_funct_2(A,B,C,D),B))) # label(dt_k8_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1799 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m2_relset_1(C,A,A) -> (r1_tarski(B,A) -> k3_funct_2(A,A,C,k2_funct_2(A,A,C,B)) = B & k2_funct_2(A,A,C,k3_funct_2(A,A,C,B)) = B))) # label(t92_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1800 (all A all B (m1_relset_1(B,A,A) & v3_funct_2(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> v3_funct_2(k6_funct_2(A,B),A,A) & m2_relset_1(k6_funct_2(A,B),A,A) & v1_funct_2(k6_funct_2(A,B),A,A) & v1_funct_1(k6_funct_2(A,B)))) # label(dt_k6_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1801 (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) & B = k2_relat_1(C) -> B = k1_xboole_0 | k6_partfun1(B) = k5_relat_1(k2_funct_1(C),C) & k6_partfun1(A) = k5_relat_1(C,k2_funct_1(C))))) # label(t35_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1802 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (v1_partfun1(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B)))) # label(t131_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1803 $T # label(t123_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1804 $T # label(t139_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1805 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (k2_relat_1(C) = B & v2_funct_1(C) -> 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]. 25.58/25.07 1806 $T # label(t13_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1807 $T # label(t117_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1808 $T # label(t109_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1809 (all A all B (m2_relset_1(B,A,A) & v1_funct_1(B) -> (exists C (v1_funct_1(C) & v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & r1_partfun1(B,C))))) # label(t149_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1810 (all A all B all C all D all E (v1_funct_2(D,A,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_1(D) & -v1_xboole_0(B) -> k7_funct_2(A,B,C,D,E) = k5_relat_1(D,E))) # label(redefinition_k7_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1811 (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(B,C) -> v1_funct_1(D) & v1_funct_2(D,A,C) & m2_relset_1(D,A,C) | k1_xboole_0 = B & A != k1_xboole_0))) # label(t9_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1812 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> k1_tarski(B) = k5_partfun1(A,A,k3_partfun1(B,A,A)))) # label(t162_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1813 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> -((k1_xboole_0 = B -> k1_xboole_0 = A) & (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (exists E (k1_funct_1(D,E) != k1_funct_1(C,E) & r2_hidden(E,k4_relset_1(A,B,C))))))))) # label(t136_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1814 (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 (v1_funct_1(D) & v1_funct_2(D,A,A) & m2_relset_1(D,A,A) -> (r1_partfun1(C,D) & r1_partfun1(B,D) -> r1_partfun1(B,C)))))))) # label(t152_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1815 $T # label(t104_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1816 $T # label(t1_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1817 $T # label(t100_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1818 (all A all B all C (m2_relset_1(C,A,k1_tarski(B)) & v1_funct_2(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]. 25.58/25.07 1819 (all A (m1_subset_1(A,f1_s12_funct_2) -> r2_hidden(f3_s12_funct_2(A),f2_s12_funct_2))) -> (exists A ((all B (m1_subset_1(B,f1_s12_funct_2) -> k8_funct_2(f1_s12_funct_2,f2_s12_funct_2,A,B) = f3_s12_funct_2(B))) & m2_relset_1(A,f1_s12_funct_2,f2_s12_funct_2) & v1_funct_2(A,f1_s12_funct_2,f2_s12_funct_2) & v1_funct_1(A))) # label(s12_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1820 (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) -> (v2_funct_1(C) <-> (all D all E (r2_hidden(D,A) & r2_hidden(E,A) & k1_funct_1(C,D) = k1_funct_1(C,E) -> E = D)))))) # label(t25_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1821 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (B != k1_xboole_0 -> (all E ((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]. 25.58/25.07 1822 (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) & v2_funct_1(D) -> B = k1_xboole_0 | k1_funct_1(k2_funct_1(D),k1_funct_1(D,C)) = C))) # label(t32_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1823 (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]. 25.58/25.07 1824 (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]. 25.58/25.07 1825 (all A all B all C all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (m2_relset_1(E,B,C) & v1_funct_2(E,B,C) & v1_funct_1(E) -> (v2_funct_1(k1_partfun1(A,B,B,C,D,E)) -> v2_funct_1(D) | B = k1_xboole_0 & k1_xboole_0 != A | B != k1_xboole_0 & C = k1_xboole_0))))) # label(t26_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1826 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,B,C) & m2_relset_1(E,B,C) -> (k2_relat_1(E) = C & B = k2_relat_1(D) -> k1_xboole_0 = B | C = k2_relat_1(k1_partfun1(A,B,B,C,D,E)) | C = k1_xboole_0))))) # label(t20_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1827 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_relset_1(C,A,A) & m1_relset_1(B,A,A) -> v1_funct_2(k5_funct_2(A,B,C),A,A) & m2_relset_1(k5_funct_2(A,B,C),A,A) & v3_funct_2(k5_funct_2(A,B,C),A,A) & v1_funct_1(k5_funct_2(A,B,C)))) # label(dt_k5_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1828 (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_partfun1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C)))))) # label(cc5_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1829 $T # label(t56_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1830 (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) -> A = k3_funct_2(A,B,C,B)))) # label(t48_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1831 (all A all B all C ((all D ((exists E (v1_relat_1(E) & r1_tarski(k2_relat_1(E),B) & k1_relat_1(E) = A & D = E & v1_funct_1(E))) <-> r2_hidden(D,C))) <-> k1_funct_2(A,B) = C)) # label(d2_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1832 (all A all B all C all D (m2_relset_1(D,k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & v1_funct_2(D,k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & v1_funct_1(D) -> k9_funct_2(A,B,C) = D)) # label(d5_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1833 $T # label(t63_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1834 (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]. 25.58/25.07 1835 (all A all B all C (v1_funct_2(C,k1_xboole_0,A) & m2_relset_1(C,k1_xboole_0,A) & v1_funct_1(C) -> k1_xboole_0 = k3_funct_2(k1_xboole_0,A,C,B))) # label(t60_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1836 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> r2_hidden(B,k1_funct_2(A,A)))) # label(t12_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1837 $T # label(t107_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1838 $T # label(t94_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1839 (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) -> k1_tarski(C) = k5_partfun1(A,B,k3_partfun1(C,A,B))))) # label(t161_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1840 (all A all B all C all D (m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) -> (all E (v1_funct_2(E,k2_zfmisc_1(A,B),C) & m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> ((all F all G (r2_hidden(G,B) & r2_hidden(F,A) -> k1_funct_1(E,k4_tarski(F,G)) = k1_funct_1(D,k4_tarski(F,G)))) -> E = D))))) # label(t118_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1841 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,A) & m2_relset_1(C,A,A) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(B,A) -> k1_funct_1(D,k1_funct_1(C,B)) = k1_funct_1(k5_relat_1(C,D),B)))))) # label(t70_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1842 (all A exists B (v2_funct_1(B) & v3_funct_2(B,A,A) & v2_funct_2(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) & v1_relat_1(B) & m1_relset_1(B,A,A))) # label(rc2_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1843 (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]. 25.58/25.07 1844 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> (all D (v1_funct_1(D) & v1_funct_2(D,B,A) & m2_relset_1(D,B,A) -> (v2_funct_1(C) & k6_partfun1(A) = k1_partfun1(A,B,B,A,C,D) & k2_relat_1(C) = B -> A = k1_xboole_0 | B = k1_xboole_0 | k2_funct_1(C) = D))))) # label(t36_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1845 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_xboole_0 = k1_relat_1(B) -> m2_relset_1(B,k1_xboole_0,A) & v1_funct_2(B,k1_xboole_0,A) & v1_funct_1(B)))) # label(t55_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1846 $T # label(t147_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1847 $T # label(t138_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1848 (all A all B all C (v1_funct_2(k9_funct_2(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & m2_relset_1(k9_funct_2(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)) & v1_funct_1(k9_funct_2(A,B,C)))) # label(dt_k9_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1849 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_2(C,A,B) & v2_funct_2(C,A,B) & v2_funct_1(C) & v1_funct_1(C) -> 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]. 25.58/25.07 1850 $T # label(t68_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1851 $T # label(t127_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1852 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> (all C (m2_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) -> (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]. 25.58/25.07 1853 (all A all B (r2_hidden(A,f1_s6_funct_2) & r2_hidden(B,f2_s6_funct_2) -> r2_hidden(f4_s6_funct_2(A,B),f3_s6_funct_2))) -> (exists A (v1_funct_1(A) & 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) -> f4_s6_funct_2(B,C) = k1_funct_1(A,k4_tarski(B,C)))) & m2_relset_1(A,k2_zfmisc_1(f1_s6_funct_2,f2_s6_funct_2),f3_s6_funct_2))) # label(s6_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.07 1854 (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]. 25.58/25.08 1855 (all A all B (m2_relset_1(B,A,A) -> k7_relset_1(A,A,A,A,k6_partfun1(A),B) = B & k7_relset_1(A,A,A,A,B,k6_partfun1(A)) = B)) # label(t74_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1856 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> ((k1_xboole_0 = B -> k1_xboole_0 = A) -> v1_partfun1(k3_partfun1(C,A,B),A,B)))) # label(t133_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1857 (all A all B all C (v1_funct_2(B,A,A) & m1_relset_1(B,A,A) & m1_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) & v1_funct_1(B) -> k5_relat_1(B,C) = k4_funct_2(A,B,C))) # label(redefinition_k4_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1858 (all A all B all C (m2_relset_1(C,k1_tarski(A),B) & v1_funct_2(C,k1_tarski(A),B) & v1_funct_1(C) -> (k1_xboole_0 != B -> r2_hidden(k1_funct_1(C,A),B)))) # label(t61_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1859 (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) -> r2_hidden(C,k1_funct_2(A,B))))) # label(t11_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1860 (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(A,C) -> D = k2_partfun1(A,B,D,C)))) # label(t40_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1861 $T # label(dt_k1_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1862 (all A all B all C (r2_hidden(C,k1_funct_2(A,B)) -> v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B))) # label(t121_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1863 $T # label(t69_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1864 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> r1_tarski(k10_relat_1(D,C),A))) # label(t47_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1865 (all A all B -(r2_hidden(A,f1_s5_funct_2) & (all C -(p1_s5_funct_2(A,B,C) & r2_hidden(C,f3_s5_funct_2))) & r2_hidden(B,f2_s5_funct_2))) -> (exists A (v1_funct_1(A) & (all B all C (r2_hidden(B,f1_s5_funct_2) & r2_hidden(C,f2_s5_funct_2) -> p1_s5_funct_2(B,C,k1_funct_1(A,k4_tarski(B,C))))) & m2_relset_1(A,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2) & v1_funct_2(A,k2_zfmisc_1(f1_s5_funct_2,f2_s5_funct_2),f3_s5_funct_2))) # label(s5_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1866 (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]. 25.58/25.08 1867 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) -> (all C (m2_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) -> (r1_partfun1(B,C) -> r2_hidden(C,k5_partfun1(A,A,B))))))) # label(t156_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1868 (all A all B (m2_relset_1(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> (k2_relat_1(B) = A & v2_funct_1(B) -> v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B)))) # label(t83_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1869 $T # label(t111_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1870 $T # label(t71_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1871 (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) -> (k1_xboole_0 != B -> k1_tarski(k1_funct_1(C,A)) = k2_relat_1(C)))) # label(t62_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1872 (all A -v1_xboole_0(k1_funct_2(A,A))) # label(fc2_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1873 $T # label(t102_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1874 (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 -> (k2_relat_1(C) = B <-> (all D (k1_xboole_0 != D -> (all E (m2_relset_1(E,B,D) & v1_funct_2(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,E) = k1_partfun1(A,B,B,D,C,F) -> E = F))))))))))) # label(t22_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1875 (all A all B (v3_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_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) -> (k5_funct_2(A,B,C) = k6_partfun1(A) -> k6_funct_2(A,B) = C))))) # label(t87_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1876 $T # label(t105_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1877 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (r1_tarski(k5_partfun1(A,B,C),k5_partfun1(A,B,D)) & (all E B != k1_tarski(E)) -> r1_tarski(D,C)))))) # label(t167_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1878 (exists A ((all B (m1_subset_1(B,f1_s8_funct_2) -> (all C (m1_subset_1(C,f2_s8_funct_2) -> k1_funct_1(A,k4_tarski(B,C)) = f4_s8_funct_2(B,C))))) & m2_relset_1(A,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2) & v1_funct_2(A,k2_zfmisc_1(f1_s8_funct_2,f2_s8_funct_2),f3_s8_funct_2) & v1_funct_1(A))) # label(s8_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1879 $T # label(t33_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1880 $T # label(t39_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1881 $T # label(t157_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1882 (all A all B all C all D (m2_relset_1(D,A,k1_tarski(B)) & v1_funct_2(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]. 25.58/25.08 1883 f4_s11_funct_2 != f3_s11_funct_2 -> (exists A (v1_funct_2(A,f1_s11_funct_2,f2_s11_funct_2) & f6_s11_funct_2 = k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,f4_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))) & f5_s11_funct_2 = k8_funct_2(f1_s11_funct_2,f2_s11_funct_2,A,f3_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]. 25.58/25.08 1884 $T # label(t58_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1885 $T # label(t97_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1886 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (r2_hidden(D,k5_partfun1(A,B,C)) -> v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B))))) # label(t158_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1887 (all A (r2_hidden(A,f1_s2_funct_2) -> r2_hidden(f3_s2_funct_2(A),f2_s2_funct_2))) -> (exists A (v1_funct_1(A) & v1_funct_2(A,f1_s2_funct_2,f2_s2_funct_2) & (all B (r2_hidden(B,f1_s2_funct_2) -> f3_s2_funct_2(B) = k1_funct_1(A,B))) & m2_relset_1(A,f1_s2_funct_2,f2_s2_funct_2))) # label(s2_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1888 $T # label(t129_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1889 (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]. 25.58/25.08 1890 (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]. 25.58/25.08 1891 (all A all B all C all D all E (v1_funct_2(D,A,B) & m1_relset_1(D,A,B) & m1_relset_1(E,B,C) & v1_funct_2(E,B,C) & v1_funct_1(E) & v1_funct_1(D) & -v1_xboole_0(B) -> m2_relset_1(k7_funct_2(A,B,C,D,E),A,C) & v1_funct_2(k7_funct_2(A,B,C,D,E),A,C) & v1_funct_1(k7_funct_2(A,B,C,D,E)))) # label(dt_k7_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1892 (all A all B all C (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) -> ((B = k1_xboole_0 -> A = k1_xboole_0) -> ((all E (r2_hidden(E,k4_relset_1(A,B,C)) -> k1_funct_1(D,E) = k1_funct_1(C,E))) <-> r1_partfun1(C,D))))))) # label(t145_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1893 (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 (r2_hidden(E,A) & r2_hidden(k1_funct_1(D,E),C) <-> r2_hidden(E,k10_relat_1(D,C))))))) # label(t46_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1894 (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 != A & k1_xboole_0 != B & -((all D all E (v1_funct_1(E) & v1_funct_2(E,D,A) & m2_relset_1(E,D,A) -> (all F (m2_relset_1(F,D,A) & v1_funct_2(F,D,A) & v1_funct_1(F) -> (k1_partfun1(D,A,A,B,F,C) = k1_partfun1(D,A,A,B,E,C) -> F = E))))) <-> v2_funct_1(C))))) # label(t27_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1895 (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) & m2_relset_1(A,k2_zfmisc_1(f1_s7_funct_2,f2_s7_funct_2),f3_s7_funct_2) & (all B (m1_subset_1(B,f1_s7_funct_2) -> (all C (m1_subset_1(C,f2_s7_funct_2) -> p1_s7_funct_2(B,C,k1_funct_1(A,k4_tarski(B,C))))))))) # label(s7_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1896 (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 & (exists 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)))) # label(t37_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1897 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> r1_tarski(k2_relat_1(B),A) & k4_relset_1(A,A,B) = A)) # label(t67_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1898 $T # label(t10_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1899 $T # label(t80_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1900 (all A all B k1_funct_2(A,B) = k5_partfun1(A,B,k3_partfun1(k1_xboole_0,A,B))) # label(t160_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1901 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> (v2_funct_1(B) <-> (all C all D (r2_hidden(C,A) & k1_funct_1(B,C) = k1_funct_1(B,D) & r2_hidden(D,A) -> D = C))))) # label(t77_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1902 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> (all D (v1_funct_1(D) & m2_relset_1(D,B,A) & v1_funct_2(D,B,A) -> (k6_partfun1(B) = k1_partfun1(B,A,A,B,D,C) -> k2_relat_1(C) = B))))) # label(t24_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1903 (all A all B exists C (v1_relat_1(C) & v1_funct_2(C,A,B) & v1_funct_1(C) & m1_relset_1(C,A,B))) # label(rc1_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1904 $T # label(t89_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1905 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v3_funct_2(C,A,B) & v1_funct_2(C,A,B) -> v1_funct_1(C) & v2_funct_1(C) & v2_funct_2(C,A,B) & v1_funct_2(C,A,B)))) # label(cc2_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1906 (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 (v1_funct_1(A) & m2_relset_1(A,f1_s3_funct_2,f2_s3_funct_2) & (all B (m1_subset_1(B,f1_s3_funct_2) -> p1_s3_funct_2(B,k8_funct_2(f1_s3_funct_2,f2_s3_funct_2,A,B)))) & v1_funct_2(A,f1_s3_funct_2,f2_s3_funct_2))) # label(s3_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1907 $T # label(t72_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1908 $T # label(t126_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1909 $T # label(t150_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1910 (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]. 25.58/25.08 1911 (all A all B (v1_funct_2(B,A,A) & v3_funct_2(B,A,A) & m1_relset_1(B,A,A) & v1_funct_1(B) -> k2_funct_1(B) = k6_funct_2(A,B))) # label(redefinition_k6_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1912 $T # label(t106_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1913 (all A all B all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,B,A) & v1_funct_2(D,B,A) -> ((all E all F ((r2_hidden(F,A) & E = k1_funct_1(C,F) -> r2_hidden(E,B) & F = k1_funct_1(D,E)) & (F = k1_funct_1(D,E) & r2_hidden(E,B) -> r2_hidden(F,A) & k1_funct_1(C,F) = E))) & v2_funct_1(C) & B = k2_relat_1(C) -> k1_xboole_0 = B | k2_funct_1(C) = D | A = k1_xboole_0))))) # label(t34_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1914 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_2(A,k1_relat_1(A),k2_relat_1(A)) & m2_relset_1(A,k1_relat_1(A),k2_relat_1(A)) & v1_funct_1(A))) # label(t3_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1915 (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 (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> -(r1_partfun1(D,E) & r1_partfun1(C,E)))) & r1_partfun1(C,D) & (B = k1_xboole_0 -> A = k1_xboole_0)))))) # label(t154_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1916 (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,A,A) & v1_funct_2(C,A,A) -> (r1_partfun1(B,C) -> C = B))))) # label(t143_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1917 $T # label(t57_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1918 (all A all B all C (v1_funct_1(C) & v1_relat_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]. 25.58/25.08 1919 $T # label(t108_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1920 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> (all C (v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & v1_funct_1(C) -> (v2_funct_1(B) & k4_funct_2(A,C,B) = B -> k6_partfun1(A) = C))))) # label(t76_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1921 (all A all B all C all D all E all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(A,B),C) & v1_funct_2(F,k2_zfmisc_1(A,B),C) -> (r2_hidden(E,B) & r2_hidden(D,A) -> C = k1_xboole_0 | r2_hidden(k1_funct_1(F,k4_tarski(D,E)),C)))) # label(t119_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1922 (all A all B all C (v1_funct_2(C,A,B) & 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) -> ((all E (m1_subset_1(E,A) -> k1_funct_1(D,E) = k1_funct_1(C,E))) -> D = C))))) # label(t113_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1923 (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]. 25.58/25.08 1924 $T # label(t144_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1925 (exists A (v1_funct_1(A) & (all B (m1_subset_1(B,f1_s4_funct_2) -> f3_s4_funct_2(B) = k8_funct_2(f1_s4_funct_2,f2_s4_funct_2,A,B))) & m2_relset_1(A,f1_s4_funct_2,f2_s4_funct_2) & v1_funct_2(A,f1_s4_funct_2,f2_s4_funct_2))) # label(s4_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1926 $T # label(t122_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1927 (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]. 25.58/25.08 1928 (all A all B all C all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(C,A) -> r1_tarski(C,k3_funct_2(A,B,D,k2_funct_2(A,B,D,C))) | k1_xboole_0 != A & k1_xboole_0 = B))) # label(t50_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1929 (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_1(D) & v1_funct_2(D,A,C) & m2_relset_1(D,A,C) | k1_xboole_0 = B & A != k1_xboole_0))) # label(t8_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1930 $T # label(t81_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1931 $T # label(t78_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1932 (exists A (v1_funct_2(A,f1_s10_funct_2,f2_s10_funct_2) & (all B (m1_subset_1(B,f1_s10_funct_2) -> (f3_s10_funct_2 != B -> k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,A,B) = f5_s10_funct_2(B)))) & f4_s10_funct_2 = k8_funct_2(f1_s10_funct_2,f2_s10_funct_2,A,f3_s10_funct_2) & m2_relset_1(A,f1_s10_funct_2,f2_s10_funct_2) & v1_funct_1(A))) # label(s10_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1933 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> (v3_funct_2(C,A,B) <-> v2_funct_2(C,A,B) & v2_funct_1(C)))) # label(d4_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1934 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,B,C) & m2_relset_1(E,B,C) -> (-(k1_xboole_0 != A & C != k1_xboole_0 & k1_xboole_0 = B) -> v1_funct_2(k1_partfun1(A,B,B,C,D,E),A,C) & m2_relset_1(k1_partfun1(A,B,B,C,D,E),A,C) & v1_funct_1(k1_partfun1(A,B,B,C,D,E))))))) # label(t19_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1935 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,A) & m2_relset_1(C,A,A) -> (k2_relat_1(B) = A & B = k4_funct_2(A,B,C) -> C = k6_partfun1(A)))))) # label(t75_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1936 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (all D (v1_funct_1(D) & v1_funct_2(D,B,A) & m2_relset_1(D,B,A) -> (k1_partfun1(A,B,B,A,C,D) = k6_partfun1(A) -> v2_funct_1(C) & A = k2_relat_1(D) | k1_xboole_0 = B))))) # label(t29_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1937 $T # label(t95_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1938 (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_2(E,k2_zfmisc_1(A,B),C) & m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> ((all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,B) -> k1_funct_1(D,k4_tarski(F,G)) = k1_funct_1(E,k4_tarski(F,G)))))) -> E = D))))) # label(t120_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1939 $T # label(t128_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1940 (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) -> B = k1_xboole_0 | r2_hidden(k1_funct_1(D,C),k2_relat_1(D))))) # label(t6_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1941 $T # label(t90_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1942 (all A all B all C all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,B,C) & v1_funct_2(E,B,C) -> (B = k2_relat_1(D) & v2_funct_1(k1_partfun1(A,B,B,C,D,E)) -> v2_funct_1(E) & v2_funct_1(D) | B != k1_xboole_0 & k1_xboole_0 = C))))) # label(t30_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1943 (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]. 25.58/25.08 1944 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> ((all E (r2_hidden(E,A) -> k1_funct_1(C,E) = k1_funct_1(D,E))) -> C = D))))) # label(t18_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1945 $T # label(t52_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1946 $T # label(t112_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1947 $T # label(t93_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1948 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> ((all D (r2_hidden(D,A) -> r2_hidden(k1_funct_1(C,D),B))) & k1_relat_1(C) = A -> m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C)))) # label(t5_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1949 $T # label(t140_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1950 (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,D) = k5_partfun1(A,B,C) & (all E k1_tarski(E) != B) -> D = C))))) # label(t168_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1951 (all A all B (m2_relset_1(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> A = k3_funct_2(A,A,B,k2_funct_2(A,A,B,A)))) # label(t82_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1952 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(k2_relat_1(B),A) -> v1_funct_2(B,k1_relat_1(B),A) & m2_relset_1(B,k1_relat_1(B),A) & v1_funct_1(B)))) # label(t4_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1953 (all A all B all C (v1_funct_2(C,k1_xboole_0,A) & m2_relset_1(C,k1_xboole_0,A) & v1_funct_1(C) -> k1_xboole_0 = k2_funct_2(k1_xboole_0,A,C,B))) # label(t59_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1954 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> ((all D -((all E -(r2_hidden(E,A) & k1_funct_1(C,E) = D)) & r2_hidden(D,B))) -> B = k2_relat_1(C) | B = k1_xboole_0))) # label(t16_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1955 $T # label(t96_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1956 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> (v2_funct_1(B) -> (all C all D (k1_funct_1(B,C) = k1_funct_1(B,D) & r2_hidden(D,A) & r2_hidden(C,A) -> C = D))))) # label(t85_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1957 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> k1_xboole_0 != A & k1_xboole_0 = B | v1_partfun1(C,A,B)))) # label(t132_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1958 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,A) & v1_funct_2(C,A,A) -> (r1_partfun1(B,C) <-> (all D (r2_hidden(D,k4_relset_1(A,A,B)) -> k1_funct_1(C,D) = k1_funct_1(B,D)))))))) # label(t146_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1959 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,A,A) & v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_relset_1(C,A,A) & m1_relset_1(B,A,A) & v3_funct_2(B,A,A) -> k5_relat_1(B,C) = k5_funct_2(A,B,C))) # label(redefinition_k5_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1960 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (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 -> k2_relat_1(D) = B | k1_xboole_0 = C))))) # label(t28_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1961 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> ((all D -(k1_xboole_0 = k3_funct_2(A,B,C,k1_tarski(D)) & r2_hidden(D,B))) <-> B = k2_relat_1(C)))) # label(t49_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1962 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (r1_tarski(k4_relset_1(A,B,D),k4_relset_1(A,B,C)) & r1_tarski(k5_partfun1(A,B,C),k5_partfun1(A,B,D)) -> r1_tarski(D,C)))))) # label(t166_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1963 (all A all B all C all D all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (all F (m2_relset_1(F,B,C) & v1_funct_2(F,B,C) & v1_funct_1(F) -> -(-r1_tarski(k3_funct_2(A,B,E,D),k3_funct_2(A,C,k1_partfun1(A,B,B,C,E,F),k2_funct_2(B,C,F,D))) & (k1_xboole_0 = B -> A = k1_xboole_0) & (C = k1_xboole_0 -> k1_xboole_0 = B)))))) # label(t53_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1964 (all A all B all C all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> -(B = k2_relat_1(D) & (all E -(r2_hidden(E,A) & k1_funct_1(D,E) = C)) & r2_hidden(C,B)))) # label(t17_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1965 (all A -(r2_hidden(A,f1_s1_funct_2) & (all B -(p1_s1_funct_2(A,B) & r2_hidden(B,f2_s1_funct_2))))) -> (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]. 25.58/25.08 1966 $T # label(t103_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1967 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_2(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]. 25.58/25.08 1968 $T # label(t101_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1969 (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 -((all F -(r2_hidden(F,C) & k1_funct_1(D,F) = E & r2_hidden(F,A))) & r2_hidden(E,k2_funct_2(A,B,D,C)))))) # label(t115_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1970 $T # label(t98_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1971 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> r1_tarski(k9_relat_1(D,C),B))) # label(t44_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1972 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (r1_partfun1(D,E) & r1_partfun1(C,E) -> B = k1_xboole_0 & A != k1_xboole_0 | r1_partfun1(C,D)))))))) # label(t151_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1973 (all A (m1_subset_1(A,f1_s14_funct_2) -> (exists B (m1_subset_1(B,f2_s14_funct_2) & p1_s14_funct_2(A,B))))) -> (exists A (v1_funct_2(A,f1_s14_funct_2,f2_s14_funct_2) & (all B (m1_subset_1(B,f1_s14_funct_2) -> p1_s14_funct_2(B,k8_funct_2(f1_s14_funct_2,f2_s14_funct_2,A,B)))) & m2_relset_1(A,f1_s14_funct_2,f2_s14_funct_2) & v1_funct_1(A))) # label(s14_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1974 $T # label(t99_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1975 (all A all B all C (m1_relset_1(B,A,A) & v1_funct_2(C,A,A) & m1_relset_1(C,A,A) & v1_funct_1(C) & v1_funct_2(B,A,A) & v1_funct_1(B) -> v1_funct_1(k4_funct_2(A,B,C)) & v1_funct_2(k4_funct_2(A,B,C),A,A) & m2_relset_1(k4_funct_2(A,B,C),A,A))) # label(dt_k4_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1976 $T # label(t84_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1977 $T # label(t124_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1978 (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_relat_1(E) & v1_funct_1(E) -> (r2_hidden(C,A) -> B = k1_xboole_0 | k1_funct_1(E,k1_funct_1(D,C)) = k1_funct_1(k5_relat_1(D,E),C)))))) # label(t21_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1979 (all A (k1_xboole_0 != A -> k1_xboole_0 = k1_funct_2(A,k1_xboole_0))) # label(t14_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1980 (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) -> (r1_partfun1(C,D) -> r2_hidden(D,k5_partfun1(A,B,C)) | B = k1_xboole_0 & k1_xboole_0 != A))))) # label(t155_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1981 $T # label(t163_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1982 $T # label(t137_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1983 (all A all B all C (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) -> k1_tarski(D) = k5_partfun1(A,k1_tarski(B),C))))) # label(t164_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1984 (all A all B all C (m2_relset_1(C,A,B) -> ((k1_xboole_0 = B -> k1_xboole_0 = A) -> (v1_funct_2(C,A,B) <-> A = k4_relset_1(A,B,C))) & (B = k1_xboole_0 -> k1_xboole_0 = A | (C = k1_xboole_0 <-> v1_funct_2(C,A,B))))) # label(d1_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1985 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E -(r2_hidden(E,k2_funct_2(A,B,D,C)) & (all F (m1_subset_1(F,A) -> -(E = k1_funct_1(D,F) & r2_hidden(F,C)))))))) # label(t116_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1986 (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) -> A = k3_funct_2(A,B,C,k2_funct_2(A,B,C,A))))) # label(t51_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1987 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> k2_relat_1(B) = k2_funct_2(A,A,B,A))) # label(t79_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1988 $T # label(t125_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1989 $T # label(t110_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1990 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v3_funct_2(B,A,A) & v1_funct_2(B,A,A) -> k5_funct_2(A,k6_funct_2(A,B),B) = k6_partfun1(A) & k6_partfun1(A) = k5_funct_2(A,B,k6_funct_2(A,B)))) # label(t88_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1991 (all A all B all C all D (m1_relset_1(C,A,B) & v1_funct_1(C) -> k10_relat_1(C,D) = k3_funct_2(A,B,C,D))) # label(redefinition_k3_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1992 $T # label(t54_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1993 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> (all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_funct_2(C,A,B) -> v1_partfun1(C,A,B) & v1_funct_2(C,A,B) & -v1_xboole_0(C) & v1_funct_1(C)))))) # label(cc6_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1994 (all A all B (m2_relset_1(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> v1_partfun1(k3_partfun1(B,A,A),A,A))) # label(t134_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1995 (all A all B (v1_funct_1(B) & v3_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> (all C (m2_relset_1(C,A,A) & v3_funct_2(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) -> (C = k5_funct_2(A,B,C) -> k6_partfun1(A) = B))))) # label(t86_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1996 (all A all B all C (m2_relset_1(C,A,B) -> C = k7_relset_1(A,B,B,B,C,k6_partfun1(B)) & k7_relset_1(A,A,A,B,k6_partfun1(A),C) = C)) # label(t23_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1997 $T # label(t153_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1998 $T # label(t114_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 1999 (all A (m1_subset_1(A,f1_s13_funct_2) -> m1_subset_1(f3_s13_funct_2(A),f2_s13_funct_2))) -> (exists A (v1_funct_1(A) & v1_funct_2(A,f1_s13_funct_2,f2_s13_funct_2) & m2_relset_1(A,f1_s13_funct_2,f2_s13_funct_2) & (all B (m1_subset_1(B,f1_s13_funct_2) -> k8_funct_2(f1_s13_funct_2,f2_s13_funct_2,A,B) = f3_s13_funct_2(B))))) # label(s13_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2000 (all A all B all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (r1_partfun1(C,D) -> D = C | k1_xboole_0 != A & k1_xboole_0 = B))))) # label(t142_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2001 (all A all B all C all D all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (r2_hidden(C,A) & r2_hidden(k1_funct_1(E,C),D) -> k1_funct_1(k9_relset_1(A,B,D,E),C) = k1_funct_1(E,C) | B = k1_xboole_0))) # label(t41_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2002 (all A all B all C all D (m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> m1_subset_1(k2_funct_2(A,B,C,D),k1_zfmisc_1(B)))) # label(dt_k2_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2003 (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) -> k2_relat_1(C) = k2_funct_2(A,B,C,A)))) # label(t45_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2004 $T # label(t42_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2005 (all A all B (m1_relset_1(B,A,A) -> (v1_relat_2(B) & v1_funct_2(B,A,A) & v1_partfun1(B,A,A) & v1_funct_1(B) -> v2_funct_1(B) & v2_funct_2(B,A,A) & v3_funct_2(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B)))) # label(cc4_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2006 (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(C,A) -> B = k1_xboole_0 & k1_xboole_0 != A | m2_relset_1(k2_partfun1(A,B,D,C),C,B) & v1_funct_2(k2_partfun1(A,B,D,C),C,B) & v1_funct_1(k2_partfun1(A,B,D,C))))) # label(t38_funct_2) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2007 (all A all B (k1_xboole_0 != A -> B = k2_relat_1(k8_funct_3(A,B)))) # label(t62_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2008 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k1_funct_3(A)) & v1_funct_1(k1_funct_3(A)))) # label(dt_k1_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2009 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (k7_funct_3(A,B) = C <-> k1_relat_1(C) = k2_zfmisc_1(A,B) & (all D all E (r2_hidden(D,A) & r2_hidden(E,B) -> D = k1_funct_1(C,k4_tarski(D,E))))))) # label(d5_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2010 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> k3_xboole_0(k10_relat_1(C,A),k10_relat_1(D,B)) = k10_relat_1(k13_funct_3(C,D),k2_zfmisc_1(A,B)))))))) # label(t77_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2011 (all A all B (v1_relat_1(k8_funct_3(A,B)) & v1_funct_1(k8_funct_3(A,B)))) # label(dt_k8_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2012 $T # label(t41_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2013 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> k2_zfmisc_1(k2_relat_1(A),k2_relat_1(B)) = k2_relat_1(k15_funct_3(A,B)))))) # label(t88_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2014 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k6_relat_1(B) = k6_funct_3(A,B))) # label(redefinition_k6_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2015 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,C) & v1_funct_2(E,A,C) -> -((C = k1_xboole_0 -> k1_xboole_0 = A) & -(E = k5_relat_1(k13_funct_3(D,E),k10_funct_3(B,C)) & k5_relat_1(k13_funct_3(D,E),k9_funct_3(B,C)) = D) & (k1_xboole_0 = B -> A = k1_xboole_0)))))) # label(t81_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2016 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(A,k2_relat_1(k5_relat_1(B,C))) & v2_funct_1(C) -> r1_tarski(k10_relat_1(C,A),k2_relat_1(B))))))) # label(t4_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2017 $T # label(t23_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2018 (all A all B all C all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,C) & v1_funct_2(E,A,C) -> k13_funct_3(D,E) = k5_relat_1(k12_funct_3(A),k16_funct_3(A,A,B,C,D,E)))))) # label(t99_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2019 (all A all B k5_funct_3(A,B) = k4_funct_3(A,B)) # label(redefinition_k5_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2020 $T # label(t52_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.08 2021 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,C) & m2_relset_1(E,A,C) -> -((B = k1_xboole_0 -> A = k1_xboole_0) & -(v1_funct_1(k13_funct_3(D,E)) & v1_funct_2(k13_funct_3(D,E),A,k2_zfmisc_1(B,C)) & m2_relset_1(k13_funct_3(D,E),A,k2_zfmisc_1(B,C))) & (C = k1_xboole_0 -> k1_xboole_0 = A)))))) # label(t78_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2022 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,k1_zfmisc_1(k1_relat_1(B))) -> k3_tarski(k9_relat_1(k1_funct_3(B),A)) = k9_relat_1(B,k3_tarski(A))))) # label(t16_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2023 (all A (v1_funct_1(A) & v1_relat_1(A) -> m2_relset_1(k3_funct_3(A),k1_zfmisc_1(k2_relat_1(A)),k1_zfmisc_1(k1_relat_1(A))) & v1_funct_2(k3_funct_3(A),k1_zfmisc_1(k2_relat_1(A)),k1_zfmisc_1(k1_relat_1(A))) & v1_funct_1(k3_funct_3(A)))) # label(t39_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2024 (all A all B (v1_relat_1(k7_funct_3(A,B)) & v1_funct_1(k7_funct_3(A,B)))) # label(dt_k7_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2025 $T # label(t64_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2026 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (B = k11_funct_3(A) <-> (all C (r2_hidden(C,A) -> k4_tarski(C,C) = k1_funct_1(B,C))) & k1_relat_1(B) = A))) # label(d7_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2027 $T # label(t46_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2028 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k3_tarski(k9_relat_1(k1_funct_3(B),A)),k9_relat_1(B,k3_tarski(A))))) # label(t15_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2029 (all A all B all C all D all E all F (v1_funct_2(E,A,C) & v1_funct_2(F,B,D) & m1_relset_1(F,B,D) & v1_funct_1(F) & m1_relset_1(E,A,C) & v1_funct_1(E) -> v1_funct_1(k16_funct_3(A,B,C,D,E,F)) & m2_relset_1(k16_funct_3(A,B,C,D,E,F),k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) & v1_funct_2(k16_funct_3(A,B,C,D,E,F),k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)))) # label(dt_k16_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2030 (all A all B all C all D (p1_s1_funct_3(A,B,D) & p1_s1_funct_3(A,B,C) & r2_hidden(B,f2_s1_funct_3) & r2_hidden(A,f1_s1_funct_3) -> C = D)) & (all A all B -(r2_hidden(B,f2_s1_funct_3) & (all C -p1_s1_funct_3(A,B,C)) & r2_hidden(A,f1_s1_funct_3))) -> (exists A (v1_relat_1(A) & v1_funct_1(A) & k1_relat_1(A) = k2_zfmisc_1(f1_s1_funct_3,f2_s1_funct_3) & (all B all C (r2_hidden(B,f1_s1_funct_3) & r2_hidden(C,f2_s1_funct_3) -> p1_s1_funct_3(B,C,k1_funct_1(A,k4_tarski(B,C))))))) # label(s1_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2031 (all A r1_tarski(k2_relat_1(k11_funct_3(A)),k2_zfmisc_1(A,A))) # label(t66_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2032 (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) -> (C = k13_funct_3(A,B) <-> k1_relat_1(C) = k3_xboole_0(k1_relat_1(A),k1_relat_1(B)) & (all D (r2_hidden(D,k1_relat_1(C)) -> k4_tarski(k1_funct_1(A,D),k1_funct_1(B,D)) = k1_funct_1(C,D)))))))))) # label(d8_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2033 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k10_relat_1(k3_funct_3(B),A),k1_zfmisc_1(k2_relat_1(B))))) # label(t28_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2034 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k10_relat_1(k1_funct_3(B),A),k1_zfmisc_1(k1_relat_1(B))))) # label(t13_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2035 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (v2_funct_1(B) -> k3_funct_3(k5_relat_1(A,B)) = k5_relat_1(k3_funct_3(B),k3_funct_3(A))))))) # label(t38_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2036 (all A all B (v1_funct_1(k4_funct_3(A,B)) & v1_relat_1(k4_funct_3(A,B)))) # label(dt_k4_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2037 (all A all B r1_tarski(k2_relat_1(k7_funct_3(A,B)),A)) # label(t59_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.58/25.09 2038 (all A all B (v1_funct_2(k9_funct_3(A,B),k2_zfmisc_1(A,B),A) & m2_relset_1(k9_funct_3(A,B),k2_zfmisc_1(A,B),A) & v1_funct_1(k9_funct_3(A,B)))) # label(dt_k9_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2039 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,A,C) & m2_relset_1(F,A,C) -> (all G (v1_funct_1(G) & v1_funct_2(G,A,C) & m2_relset_1(G,A,C) -> (k14_funct_3(A,B,C,E,G) = k14_funct_3(A,B,C,D,F) -> F = G & D = E))))))))))))) # label(t84_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2040 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (v1_funct_2(E,A,C) & m2_relset_1(E,A,C) & v1_funct_1(E) -> r1_tarski(k2_relat_1(k13_funct_3(D,E)),k2_zfmisc_1(B,C)))))) # label(t80_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2041 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k3_tarski(k10_relat_1(k1_funct_3(B),A)),k10_relat_1(B,k3_tarski(A))))) # label(t18_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2042 (all A all B all C (r2_hidden(A,k4_xboole_0(B,C)) -> k1_funct_1(k4_funct_3(C,B),A) = np__0)) # label(t43_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2043 (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) -> (k15_funct_3(A,B) = C <-> (all D all E (r2_hidden(D,k1_relat_1(A)) & r2_hidden(E,k1_relat_1(B)) -> k1_funct_1(C,k4_tarski(D,E)) = k4_tarski(k1_funct_1(A,D),k1_funct_1(B,E)))) & k1_relat_1(C) = k2_zfmisc_1(k1_relat_1(A),k1_relat_1(B))))))))) # label(d9_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2044 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k3_tarski(k10_relat_1(k3_funct_3(B),A)),k9_relat_1(B,k3_tarski(A))))) # label(t31_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2045 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,C) & v1_funct_2(E,A,C) -> (all F (m1_subset_1(F,A) -> k8_funct_2(A,k2_zfmisc_1(B,C),k14_funct_3(A,B,C,D,E),F) = k4_tarski(k8_funct_2(A,B,D,F),k8_funct_2(A,C,E,F)))))))))))))) # label(t79_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2046 (all A all B (v1_funct_2(k10_funct_3(A,B),k2_zfmisc_1(A,B),B) & m2_relset_1(k10_funct_3(A,B),k2_zfmisc_1(A,B),B) & v1_funct_1(k10_funct_3(A,B)))) # label(dt_k10_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2047 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (r1_tarski(B,k1_zfmisc_1(k1_relat_1(A))) -> r1_tarski(k10_relat_1(k3_funct_3(A),B),k9_relat_1(k1_funct_3(A),B)))))) # label(t35_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2048 (all A all B (m2_relset_1(k5_funct_3(A,B),B,k2_tarski(np__0,np__1)) & v1_funct_2(k5_funct_3(A,B),B,k2_tarski(np__0,np__1)) & v1_funct_1(k5_funct_3(A,B)))) # label(dt_k5_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2049 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> k5_relat_1(k1_funct_3(A),k1_funct_3(B)) = k1_funct_3(k5_relat_1(A,B)))))) # label(t20_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2050 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v1_funct_1(k6_funct_3(A,B)) & v1_funct_2(k6_funct_3(A,B),B,A) & m2_relset_1(k6_funct_3(A,B),B,A))) # label(dt_k6_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2051 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> r1_tarski(k9_relat_1(k13_funct_3(B,C),A),k2_zfmisc_1(k9_relat_1(B,A),k9_relat_1(C,A))))))) # label(t76_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2052 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k15_funct_3(A,B)) & v1_relat_1(k15_funct_3(A,B)))) # label(dt_k15_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2053 $T # label(t65_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2054 $T # label(t58_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2055 (all A all B r1_tarski(k2_relat_1(k8_funct_3(A,B)),B)) # label(t61_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2056 (all A all B k7_funct_3(A,B) = k9_funct_3(A,B)) # label(redefinition_k9_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2057 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(A,k1_zfmisc_1(k2_relat_1(B))) -> k10_relat_1(B,k3_tarski(A)) = k3_tarski(k9_relat_1(k3_funct_3(B),A))))) # label(t30_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2058 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k9_relat_1(k1_funct_3(B),A),k1_zfmisc_1(k2_relat_1(B))))) # label(t12_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2059 (all A all B all C all D all E (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_relset_1(D,A,B) & m1_relset_1(E,A,C) & v1_funct_2(E,A,C) & v1_funct_1(E) & v1_funct_2(D,A,B) & v1_funct_1(D) -> m2_relset_1(k14_funct_3(A,B,C,D,E),A,k2_zfmisc_1(B,C)) & v1_funct_2(k14_funct_3(A,B,C,D,E),A,k2_zfmisc_1(B,C)) & v1_funct_1(k14_funct_3(A,B,C,D,E)))) # label(dt_k14_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2060 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> ((B = k1_xboole_0 -> A = k1_xboole_0) -> v1_funct_1(k1_funct_3(C)) & m2_relset_1(k1_funct_3(C),k1_zfmisc_1(A),k1_zfmisc_1(B)) & v1_funct_2(k1_funct_3(C),k1_zfmisc_1(A),k1_zfmisc_1(B))))) # label(t22_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2061 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> ((all D (r2_hidden(D,B) -> (-r2_hidden(D,A) -> np__0 = k1_funct_1(C,D)) & (r2_hidden(D,A) -> k1_funct_1(C,D) = np__1))) & k1_relat_1(C) = B <-> k4_funct_3(A,B) = C))) # label(d3_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2062 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (k13_funct_3(D,C) = k13_funct_3(A,B) & k1_relat_1(D) = k1_relat_1(C) & k1_relat_1(B) = k1_relat_1(A) -> C = B & A = D))))))))) # label(t74_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2063 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_funct_1(k3_funct_3(A)) & v1_relat_1(k3_funct_3(A)))) # label(dt_k3_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2064 (exists A (v1_relat_1(A) & v1_funct_1(A) & (all B all C (r2_hidden(C,f2_s2_funct_3) & r2_hidden(B,f1_s2_funct_3) -> k1_funct_1(A,k4_tarski(B,C)) = f3_s2_funct_3(B,C))) & k2_zfmisc_1(f1_s2_funct_3,f2_s2_funct_3) = k1_relat_1(A))) # label(s2_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2065 (all A all B all C all D all E (v1_funct_2(E,A,C) & m1_relset_1(E,A,C) & v1_funct_1(E) & m1_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> k14_funct_3(A,B,C,D,E) = k13_funct_3(D,E))) # label(redefinition_k14_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2066 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> k15_funct_3(A,B) = k13_funct_3(k5_relat_1(k9_funct_3(k1_relat_1(A),k1_relat_1(B)),A),k5_relat_1(k10_funct_3(k1_relat_1(A),k1_relat_1(B)),B)))))) # label(t87_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2067 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v2_funct_1(A) -> r1_tarski(k9_relat_1(k1_funct_3(A),B),k10_relat_1(k3_funct_3(A),B)))))) # label(t36_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2068 (all A all B all C all D all E all F (m1_relset_1(E,A,C) & m1_relset_1(F,B,D) & v1_funct_2(F,B,D) & v1_funct_1(F) & v1_funct_2(E,A,C) & v1_funct_1(E) -> k15_funct_3(E,F) = k16_funct_3(A,B,C,D,E,F))) # label(redefinition_k16_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2069 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k2_relat_1(k13_funct_3(A,B)),k2_zfmisc_1(k2_relat_1(A),k2_relat_1(B))))))) # label(t71_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2070 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> k7_relat_1(k6_relat_1(A),B) = k6_funct_3(A,B))) # label(t53_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2071 (all A all B all C (r1_tarski(A,B) & k4_funct_3(A,B) = k4_funct_3(C,B) & r1_tarski(C,B) -> C = A)) # label(t47_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2072 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> k13_funct_3(k5_relat_1(B,A),k5_relat_1(D,C)) = k5_relat_1(k13_funct_3(B,D),k15_funct_3(A,C)))))))))) # label(t91_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2073 $T # label(t85_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2074 $T # label(t7_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2075 $T # label(t45_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2076 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k9_relat_1(k3_funct_3(B),A),k10_relat_1(k1_funct_3(B),A)))) # label(t33_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2077 (all A k12_funct_3(A) = k11_funct_3(A)) # label(redefinition_k12_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2078 (all A all B all C (k1_funct_1(k4_funct_3(B,C),A) = np__1 -> r2_hidden(A,B))) # label(t42_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2079 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(B) -> k9_relat_1(k3_funct_3(B),A) = k10_relat_1(k1_funct_3(B),A)))) # label(t34_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2080 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k3_xboole_0(k1_relat_1(B),k1_relat_1(C))) -> k1_funct_1(k13_funct_3(B,C),A) = k4_tarski(k1_funct_1(B,A),k1_funct_1(C,A))))))) # label(t68_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2081 (all A all B r1_tarski(k2_relat_1(k4_funct_3(A,B)),k2_tarski(np__0,np__1))) # label(t48_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2082 $T # label(t51_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2083 (all A (v1_funct_1(A) & v1_relat_1(A) -> k1_xboole_0 = k1_funct_1(k1_funct_3(A),k1_xboole_0))) # label(t9_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2084 (all A all B all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,C) & v1_funct_2(D,A,C) -> r1_tarski(k10_relat_1(k1_funct_3(D),B),k1_zfmisc_1(A)))))) # label(t14_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2085 (all A (v1_relat_1(A) & v1_funct_1(A) -> k1_relat_1(A) = k2_funct_2(k2_zfmisc_1(k1_relat_1(A),k2_relat_1(A)),k1_relat_1(A),k9_funct_3(k1_relat_1(A),k2_relat_1(A)),A))) # label(t100_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2086 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(A,k1_relat_1(k5_relat_1(B,C))) -> r1_tarski(k9_relat_1(B,A),k1_relat_1(C))))))) # label(t2_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2087 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k3_tarski(k9_relat_1(k3_funct_3(B),A)),k10_relat_1(B,k3_tarski(A))))) # label(t29_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2088 $T # label(d4_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2089 (all A all B all C (m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) & -v1_xboole_0(B) -> k2_funct_3(A,B,C) = k1_funct_3(C))) # label(redefinition_k2_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2090 (all A all B all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,C) & v1_funct_2(E,A,C) -> (all F (m2_relset_1(F,B,D) & v1_funct_2(F,B,D) & v1_funct_1(F) -> k16_funct_3(A,B,C,D,E,F) = k13_funct_3(k5_relat_1(k9_funct_3(A,B),E),k5_relat_1(k10_funct_3(A,B),F)))))))))) # label(t98_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2091 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(A,k1_zfmisc_1(k1_relat_1(B))) & v2_funct_1(B) -> k9_relat_1(B,k3_tarski(A)) = k3_tarski(k10_relat_1(k3_funct_3(B),A))))) # label(t32_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2092 (all A all B all C all D all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,C,D) & m2_relset_1(F,C,D) -> v1_funct_1(k15_funct_3(E,F)) & v1_funct_2(k15_funct_3(E,F),k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)) & m2_relset_1(k15_funct_3(E,F),k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))))) # label(t95_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2093 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(A,k1_zfmisc_1(k2_relat_1(B))) -> k3_tarski(k10_relat_1(k1_funct_3(B),A)) = k10_relat_1(B,k3_tarski(A))))) # label(t19_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2094 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> k10_relat_1(k15_funct_3(C,D),k2_zfmisc_1(A,B)) = k2_zfmisc_1(k10_relat_1(C,A),k10_relat_1(D,B)))))) # label(t94_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2095 (all A (v1_relat_1(A) & v1_funct_1(A) -> r1_tarski(k2_relat_1(k3_funct_3(A)),k1_zfmisc_1(k1_relat_1(A))))) # label(t25_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2096 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (r1_tarski(B,k1_zfmisc_1(k1_relat_1(A))) & v2_funct_1(A) -> k9_relat_1(k1_funct_3(A),B) = k10_relat_1(k3_funct_3(A),B))))) # label(t37_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2097 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k1_funct_3(A)) & m2_relset_1(k1_funct_3(A),k1_zfmisc_1(k1_relat_1(A)),k1_zfmisc_1(k2_relat_1(A))) & v1_funct_2(k1_funct_3(A),k1_zfmisc_1(k1_relat_1(A)),k1_zfmisc_1(k2_relat_1(A))))) # label(t21_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2098 (all A all B k6_relat_1(k2_zfmisc_1(A,B)) = k15_funct_3(k6_relat_1(A),k6_relat_1(B))) # label(t90_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2099 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k10_relat_1(C,A),k2_relat_1(B)) & r1_tarski(A,k2_relat_1(C)) -> r1_tarski(A,k2_relat_1(k5_relat_1(B,C)))))))) # label(t5_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2100 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(C) = A & k1_relat_1(B) = A -> k13_funct_3(B,C) = k5_relat_1(k12_funct_3(A),k15_funct_3(B,C))))))) # label(t89_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2101 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(k2_relat_1(D),B) & r1_tarski(k2_relat_1(C),A) & k1_relat_1(C) = k1_relat_1(D) -> C = k5_relat_1(k13_funct_3(C,D),k9_funct_3(A,B)) & D = k5_relat_1(k13_funct_3(C,D),k10_funct_3(A,B))))))) # label(t72_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2102 (all A (v1_funct_1(k11_funct_3(A)) & v1_relat_1(k11_funct_3(A)))) # label(dt_k11_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2103 $T # label(t11_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2104 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,B) & v1_funct_2(E,A,B) -> (all F (v1_funct_1(F) & v1_funct_2(F,A,C) & m2_relset_1(F,A,C) -> (all G (v1_funct_1(G) & m2_relset_1(G,A,C) & v1_funct_2(G,A,C) -> (k13_funct_3(D,F) = k13_funct_3(E,G) -> k1_xboole_0 != A & k1_xboole_0 = C | G = F & E = D | k1_xboole_0 = B & k1_xboole_0 != A))))))))) # label(t83_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2105 $T # label(t55_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2106 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_funct_3(A) = B <-> k1_zfmisc_1(k1_relat_1(A)) = k1_relat_1(B) & (all C (r1_tarski(C,k1_relat_1(A)) -> k9_relat_1(A,C) = k1_funct_1(B,C)))))))) # label(d1_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2107 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> k5_relat_1(k15_funct_3(B,D),k15_funct_3(A,C)) = k15_funct_3(k5_relat_1(B,A),k5_relat_1(D,C)))))))))) # label(t92_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2108 $T # label(t63_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2109 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> ((all D all E (r2_hidden(D,A) & r2_hidden(E,B) -> E = k1_funct_1(C,k4_tarski(D,E)))) & k2_zfmisc_1(A,B) = k1_relat_1(C) <-> k8_funct_3(A,B) = C))) # label(d6_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2110 (all A (v1_funct_1(A) & v1_relat_1(A) -> r1_tarski(k2_relat_1(k1_funct_3(A)),k1_zfmisc_1(k2_relat_1(A))))) # label(t10_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2111 (all A all B (v1_relat_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) -> v1_funct_1(k13_funct_3(A,B)) & v1_relat_1(k13_funct_3(A,B)))) # label(dt_k13_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2112 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(B)) -> (r2_hidden(A,C) -> r2_hidden(k1_funct_1(k6_funct_3(B,C),A),B)))) # label(t56_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2113 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(k1_funct_3(B))) -> k1_funct_1(k1_funct_3(B),A) = k9_relat_1(B,A)))) # label(t8_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2114 (all A all B k10_funct_3(A,B) = k8_funct_3(A,B)) # label(redefinition_k10_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2115 (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) -> k5_relat_1(C,k13_funct_3(A,B)) = k13_funct_3(k5_relat_1(C,A),k5_relat_1(C,B)))))))) # label(t75_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2116 (all A (v1_funct_1(k12_funct_3(A)) & v1_funct_2(k12_funct_3(A),A,k2_zfmisc_1(A,A)) & m2_relset_1(k12_funct_3(A),A,k2_zfmisc_1(A,A)))) # label(dt_k12_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2117 (all A all B all C (m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) & -v1_xboole_0(B) -> v1_funct_2(k2_funct_3(A,B,C),k1_zfmisc_1(A),k1_zfmisc_1(B)) & m2_relset_1(k2_funct_3(A,B,C),k1_zfmisc_1(A),k1_zfmisc_1(B)) & v1_funct_1(k2_funct_3(A,B,C)))) # label(dt_k2_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2118 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,k2_tarski(np__0,np__1)) & m2_relset_1(B,A,k2_tarski(np__0,np__1)) -> B = k4_funct_3(k3_funct_2(A,k2_tarski(np__0,np__1),B,k1_tarski(np__1)),A))) # label(t49_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2119 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (all F (m2_relset_1(F,C,D) & v1_funct_2(F,C,D) & v1_funct_1(F) -> (all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,C) -> k4_tarski(k8_funct_2(A,B,E,G),k8_funct_2(C,D,F,H)) = k1_funct_1(k16_funct_3(A,C,B,D,E,F),k4_tarski(G,H)))))))))))))))))) # label(t96_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2120 (all A all B all C all D all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & m2_relset_1(F,C,D) & v1_funct_2(F,C,D) -> -(k13_funct_3(k5_relat_1(k9_funct_3(A,C),E),k5_relat_1(k10_funct_3(A,C),F)) != k16_funct_3(A,C,B,D,E,F) & (D = k1_xboole_0 -> C = k1_xboole_0) & (B = k1_xboole_0 -> k1_xboole_0 = A)))))) # label(t97_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2121 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> k9_relat_1(k15_funct_3(C,D),k2_zfmisc_1(A,B)) = k2_zfmisc_1(k9_relat_1(C,A),k9_relat_1(D,B)))))) # label(t93_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2122 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (k1_relat_1(C) = k2_zfmisc_1(A,B) & (all E all F (r2_hidden(F,B) & r2_hidden(E,A) -> k1_funct_1(D,k4_tarski(E,F)) = k1_funct_1(C,k4_tarski(E,F)))) & k2_zfmisc_1(A,B) = k1_relat_1(D) -> C = D))))) # label(t6_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2123 $T # label(t67_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2124 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C all D (r2_hidden(k4_tarski(C,D),k2_zfmisc_1(k1_relat_1(A),k1_relat_1(B))) -> k4_tarski(k1_funct_1(A,C),k1_funct_1(B,D)) = k1_funct_1(k15_funct_3(A,B),k4_tarski(C,D)))))))) # label(t86_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2125 $T # label(t26_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2126 (all A all B (k1_xboole_0 != A -> B = k2_relat_1(k7_funct_3(B,A)))) # label(t60_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2127 (all A all B k13_funct_3(k9_funct_3(A,B),k10_funct_3(A,B)) = k6_relat_1(k2_zfmisc_1(A,B))) # label(t73_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2128 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,C) & v1_funct_2(E,A,C) -> D = k7_funct_2(A,k2_zfmisc_1(B,C),B,k14_funct_3(A,B,C,D,E),k9_funct_3(B,C)) & E = k7_funct_2(A,k2_zfmisc_1(B,C),C,k14_funct_3(A,B,C,D,E),k10_funct_3(B,C)))))))))) # label(t82_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2129 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k9_relat_1(k3_funct_3(B),A),k1_zfmisc_1(k1_relat_1(B))))) # label(t27_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2130 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(k3_funct_3(B))) -> k1_funct_1(k3_funct_3(B),A) = k10_relat_1(B,A)))) # label(t24_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2131 $T # label(t40_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2132 (all A all B all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,C) & v1_funct_2(D,A,C) -> (r1_tarski(B,k1_zfmisc_1(A)) -> k2_funct_2(A,C,D,k3_tarski(B)) = k3_tarski(k9_relat_1(k1_funct_3(D),B))))))) # label(t17_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2133 $T # label(t44_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2134 (all A all B (r1_tarski(A,B) -> k6_relat_1(A) = k7_relat_1(k6_relat_1(B),A))) # label(t1_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2135 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(C) = A & A = k1_relat_1(B) -> A = k1_relat_1(k13_funct_3(B,C))))))) # label(t70_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2136 $T # label(t50_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2137 $T # label(t57_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2138 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_zfmisc_1(k2_relat_1(A)) = k1_relat_1(B) & (all C (r1_tarski(C,k2_relat_1(A)) -> k10_relat_1(A,C) = k1_funct_1(B,C))) <-> B = k3_funct_3(A)))))) # label(d2_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2139 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k1_relat_1(C) = B & r2_hidden(A,B) & k1_relat_1(D) = B -> k1_funct_1(k13_funct_3(C,D),A) = k4_tarski(k1_funct_1(C,A),k1_funct_1(D,A))))))) # label(t69_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2140 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(A,k1_relat_1(B)) & r1_tarski(k9_relat_1(B,A),k1_relat_1(C)) -> r1_tarski(A,k1_relat_1(k5_relat_1(B,C)))))))) # label(t3_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2141 $T # label(t54_funct_3) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2142 (all A all B (-v1_xboole_0(B) -> ((exists C (m1_subset_1(C,B) & p1_s5_domain_1(C) & A = C)) <-> r2_hidden(A,a_1_3_domain_1(B))))) # label(fraenkel_a_1_3_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2143 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> m1_subset_1(a_3_8_domain_1(A,B,C),k1_zfmisc_1(k3_zfmisc_1(A,B,C))))))))) # label(s3_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2144 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,k3_zfmisc_1(B,C,D)) -> ((all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,C) -> (all H (m1_subset_1(H,D) -> (k4_domain_1(B,C,D,F,G,H) = E -> H = A))))))) <-> A = k7_mcart_1(B,C,D,E)))))))))) # label(t26_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2145 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> ((all E (r2_hidden(E,A) <-> (exists F (m1_subset_1(F,B) & (exists G ((exists H (m1_subset_1(H,D) & E = k3_mcart_1(F,G,H))) & m1_subset_1(G,C))))))) -> k3_zfmisc_1(B,C,D) = A))))))))) # label(t16_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2146 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k7_subset_1(A,B,C) = a_3_6_domain_1(A,B,C))))))) # label(t63_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2147 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_2_domain_1(B)) <-> (exists C (A = C & p1_s1_domain_1(C) & m1_subset_1(C,B)))))) # label(fraenkel_a_1_2_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2148 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> (all F (m1_subset_1(F,k4_zfmisc_1(B,C,D,E)) -> ((all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (all I (m1_subset_1(I,D) -> (all J (m1_subset_1(J,E) -> (k5_domain_1(B,C,D,E,G,H,I,J) = F -> H = A))))))))) <-> A = k9_mcart_1(B,C,D,E,F)))))))))))) # label(t41_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2149 (all A ((exists B (m1_subset_1(B,f1_s7_domain_1) & A = B & p1_s7_domain_1(B))) <-> r2_hidden(A,a_0_0_domain_1))) # label(fraenkel_a_0_0_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2150 (all A all B all C all D all E all F all G all H all I (m1_subset_1(B,A) & m1_subset_1(I,A) & m1_subset_1(H,A) & m1_subset_1(G,A) & m1_subset_1(F,A) & m1_subset_1(E,A) & m1_subset_1(D,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> m1_subset_1(k13_domain_1(A,B,C,D,E,F,G,H,I),k1_zfmisc_1(A)))) # label(dt_k13_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2151 $T # label(t39_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2152 $T # label(t27_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2153 (all A all B all C all D all E (m1_subset_1(C,A) & m1_subset_1(E,A) & m1_subset_1(D,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k9_domain_1(A,B,C,D,E) = k2_enumset1(B,C,D,E))) # label(redefinition_k9_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2154 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) & -v1_xboole_0(A) -> k16_domain_1(A,B,C,D) = k19_mcart_1(D))) # label(redefinition_k16_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2155 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> (all F (m1_subset_1(F,k4_zfmisc_1(B,C,D,E)) -> (k8_mcart_1(B,C,D,E,F) = A <-> (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (all I (m1_subset_1(I,D) -> (all J (m1_subset_1(J,E) -> (k5_domain_1(B,C,D,E,G,H,I,J) = F -> A = G)))))))))))))))))))) # label(t40_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2156 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> k1_tarski(B) = k6_domain_1(A,B))) # label(redefinition_k6_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2157 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) & -v1_xboole_0(C) -> m1_subset_1(k17_domain_1(A,B,C,D),C))) # label(dt_k17_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2158 (all A all B all C all D all E all F (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(D,A) & m1_subset_1(E,B) & m1_subset_1(F,C) & -v1_xboole_0(A) -> m1_subset_1(k4_domain_1(A,B,C,D,E,F),k3_zfmisc_1(A,B,C)))) # label(dt_k4_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.09 2159 $T # label(t37_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2160 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) -> ((exists E (m1_subset_1(E,B) & E = A & -(r2_hidden(E,D) <-> r2_hidden(E,C)))) <-> r2_hidden(A,a_3_7_domain_1(B,C,D))))) # label(fraenkel_a_3_7_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2161 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k2_zfmisc_1(A,B)) -> (all D (m1_subset_1(D,k2_zfmisc_1(A,B)) -> (k2_mcart_1(C) = k2_mcart_1(D) & k1_mcart_1(D) = k1_mcart_1(C) -> C = D))))))))) # label(t12_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2162 (all A all B all C (-v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) & -v1_xboole_0(A) -> k1_mcart_1(C) = k2_domain_1(A,B,C))) # label(redefinition_k2_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2163 $T # label(t5_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2164 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> a_3_7_domain_1(A,B,C) = k7_subset_1(A,B,C))))))) # label(t64_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2165 (all A all B all C all D all E all F (-v1_xboole_0(A) & m1_subset_1(F,C) & m1_subset_1(E,B) & m1_subset_1(D,A) & -v1_xboole_0(C) & -v1_xboole_0(B) -> k4_domain_1(A,B,C,D,E,F) = k3_mcart_1(D,E,F))) # label(redefinition_k4_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2166 (all A all B all C all D all E all F all G all H (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(E,A) & m1_subset_1(H,D) & m1_subset_1(G,C) & m1_subset_1(F,B) & -v1_xboole_0(D) & -v1_xboole_0(C) -> m1_subset_1(k5_domain_1(A,B,C,D,E,F,G,H),k4_zfmisc_1(A,B,C,D)))) # label(dt_k5_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2167 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> m1_subset_1(a_4_2_domain_1(A,B,C,D),k1_zfmisc_1(k4_zfmisc_1(A,B,C,D))))))))))) # label(s4_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2168 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> k2_zfmisc_1(A,B) = a_2_0_domain_1(A,B))))) # label(t49_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2169 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) -> ((exists E (r2_hidden(E,C) & r2_hidden(E,D) & A = E & m1_subset_1(E,B))) <-> r2_hidden(A,a_3_1_domain_1(B,C,D))))) # label(fraenkel_a_3_1_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2170 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (all E (m1_subset_1(E,k1_zfmisc_1(B)) -> (all F (m1_subset_1(F,k1_zfmisc_1(C)) -> a_6_0_domain_1(A,B,C,D,E,F) = k13_mcart_1(A,B,C,D,E,F))))))))))))) # label(t54_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2171 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,k3_zfmisc_1(B,C,D)) -> (A = k6_mcart_1(B,C,D,E) <-> (all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,C) -> (all H (m1_subset_1(H,D) -> (k4_domain_1(B,C,D,F,G,H) = E -> G = A)))))))))))))))) # label(t25_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2172 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> a_2_2_domain_1(A,B) = k3_subset_1(A,B))))) # label(t57_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2173 $T # label(t19_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2174 (all A all B all C all D all E all F all G all H (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(F,A) & m1_subset_1(G,A) & m1_subset_1(H,A) & m1_subset_1(E,A) -> m1_subset_1(k12_domain_1(A,B,C,D,E,F,G,H),k1_zfmisc_1(A)))) # label(dt_k12_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2175 $T # label(t29_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2176 (all A all B all C all D (-v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> (r2_hidden(A,a_3_8_domain_1(B,C,D)) <-> (exists E exists F exists G (p1_s3_domain_1(E,F,G) & A = k4_domain_1(B,C,D,E,F,G) & m1_subset_1(G,D) & m1_subset_1(F,C) & m1_subset_1(E,B)))))) # label(fraenkel_a_3_8_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2177 (all A (-v1_xboole_0(A) -> a_1_0_domain_1(A) = A)) # label(t48_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2178 $T # label(t23_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2179 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> -(r2_hidden(A,k2_zfmisc_1(B,C)) & (all D (m1_subset_1(D,B) -> (all E (m1_subset_1(E,C) -> k4_tarski(D,E) != A))))))))) # label(t9_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2180 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k6_subset_1(A,B,C) = a_3_3_domain_1(A,B,C))))))) # label(t60_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2181 (all A ((exists B (p2_s10_domain_1(B) & p1_s10_domain_1(B) & B = A & m1_subset_1(B,f1_s10_domain_1))) <-> r2_hidden(A,a_0_3_domain_1))) # label(fraenkel_a_0_3_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2182 (all A all B all C all D (-v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k15_domain_1(A,B,C,D) = k18_mcart_1(D))) # label(redefinition_k15_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2183 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k5_subset_1(A,B,C) = a_3_1_domain_1(A,B,C))))))) # label(t58_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2184 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_4_domain_1(B)) <-> (exists C (A = C & p2_s5_domain_1(C) & m1_subset_1(C,B)))))) # label(fraenkel_a_1_4_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2185 $T # label(t34_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2186 (all A (-v1_xboole_0(A) -> k1_subset_1(A) = a_1_1_domain_1(A))) # label(t56_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2187 $T # label(t20_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2188 (all A all B all C all D all E all F all G all H (-v1_xboole_0(D) & m1_subset_1(E,A) & m1_subset_1(G,C) & m1_subset_1(H,D) & m1_subset_1(F,B) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k4_mcart_1(E,F,G,H) = k5_domain_1(A,B,C,D,E,F,G,H))) # label(redefinition_k5_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2189 (all A (r2_hidden(A,a_0_1_domain_1) <-> (exists B (m1_subset_1(B,f1_s8_domain_1) & A = f3_s8_domain_1(B) & p1_s8_domain_1(B))))) # label(fraenkel_a_0_1_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2190 $T # label(t8_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2191 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> a_2_1_domain_1(A,B) = B)))) # label(t52_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2192 (all A all B all C all D all E (-v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(E) & -v1_xboole_0(D) -> (r2_hidden(A,a_4_2_domain_1(B,C,D,E)) <-> (exists F exists G exists H exists I (p1_s4_domain_1(F,G,H,I) & k5_domain_1(B,C,D,E,F,G,H,I) = A & m1_subset_1(I,E) & m1_subset_1(H,D) & m1_subset_1(G,C) & m1_subset_1(F,B)))))) # label(fraenkel_a_4_2_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2193 (all A all B (-v1_xboole_0(B) -> ((exists C (m1_subset_1(C,B) & A = C & p1_s6_domain_1(C))) <-> r2_hidden(A,a_1_5_domain_1(B))))) # label(fraenkel_a_1_5_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2194 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> k3_zfmisc_1(A,B,C) = a_3_0_domain_1(A,B,C))))))) # label(t50_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2195 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k3_zfmisc_1(A,B,C)) -> (all E (m1_subset_1(E,k3_zfmisc_1(A,B,C)) -> (k5_mcart_1(A,B,C,D) = k5_mcart_1(A,B,C,E) & k7_mcart_1(A,B,C,D) = k7_mcart_1(A,B,C,E) & k6_mcart_1(A,B,C,D) = k6_mcart_1(A,B,C,E) -> E = D))))))))))) # label(t28_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2196 (all A all B all C all D (m1_subset_1(D,B) & m1_subset_1(C,A) & -v1_xboole_0(B) & -v1_xboole_0(A) -> m1_subset_1(k1_domain_1(A,B,C,D),k2_zfmisc_1(A,B)))) # label(dt_k1_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2197 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> ((exists F (m1_subset_1(F,B) & (exists G (m1_subset_1(G,C) & (exists H ((exists I (m1_subset_1(I,E) & k4_mcart_1(F,G,H,I) = A)) & m1_subset_1(H,D))))))) <-> r2_hidden(A,k4_zfmisc_1(B,C,D,E))))))))))) # label(t31_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2198 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> k2_tarski(B,C) = k7_domain_1(A,B,C))) # label(redefinition_k7_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2199 $T # label(t46_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2200 (all A all B all C all D all E all F all G all H all I (-v1_xboole_0(C) & -v1_xboole_0(E) & m1_subset_1(F,k1_zfmisc_1(B)) & m1_subset_1(G,k1_zfmisc_1(C)) & m1_subset_1(I,k1_zfmisc_1(E)) & m1_subset_1(H,k1_zfmisc_1(D)) & -v1_xboole_0(D) & -v1_xboole_0(B) -> (r2_hidden(A,a_8_0_domain_1(B,C,D,E,F,G,H,I)) <-> (exists J exists K exists L exists M (m1_subset_1(J,B) & m1_subset_1(K,C) & m1_subset_1(L,D) & A = k5_domain_1(B,C,D,E,J,K,L,M) & r2_hidden(M,I) & r2_hidden(L,H) & r2_hidden(K,G) & r2_hidden(J,F) & m1_subset_1(M,E)))))) # label(fraenkel_a_8_0_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2201 (all A all B all C (-v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) -> ((exists D (m1_subset_1(D,B) & r2_hidden(D,C) & D = A)) <-> r2_hidden(A,a_2_1_domain_1(B,C))))) # label(fraenkel_a_2_1_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2202 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> k7_domain_1(A,B,C) = k7_domain_1(A,C,B))) # label(commutativity_k7_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2203 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> k4_zfmisc_1(A,B,C,D) = a_4_0_domain_1(A,B,C,D))))))))) # label(t51_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2204 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> (p1_s5_domain_1(B) -> p2_s5_domain_1(B)))) -> r1_tarski(a_1_3_domain_1(A),a_1_4_domain_1(A))))) # label(s5_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2205 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,k4_zfmisc_1(A,B,C,D)) -> (all F (m1_subset_1(F,k4_zfmisc_1(A,B,C,D)) -> (k10_mcart_1(A,B,C,D,E) = k10_mcart_1(A,B,C,D,F) & k11_mcart_1(A,B,C,D,E) = k11_mcart_1(A,B,C,D,F) & k9_mcart_1(A,B,C,D,F) = k9_mcart_1(A,B,C,D,E) & k8_mcart_1(A,B,C,D,F) = k8_mcart_1(A,B,C,D,E) -> E = F))))))))))))) # label(t45_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2206 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) & -v1_xboole_0(C) -> m1_subset_1(k14_domain_1(A,B,C,D),A))) # label(dt_k14_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2207 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> (all F (m1_subset_1(F,k4_zfmisc_1(B,C,D,E)) -> ((all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (all I (m1_subset_1(I,D) -> (all J (m1_subset_1(J,E) -> (F = k5_domain_1(B,C,D,E,G,H,I,J) -> J = A))))))))) <-> k11_mcart_1(B,C,D,E,F) = A))))))))))) # label(t43_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2208 (all A all B all C (-v1_xboole_0(C) & -v1_xboole_0(B) -> (r2_hidden(A,a_2_0_domain_1(B,C)) <-> (exists D exists E (m1_subset_1(D,B) & m1_subset_1(E,C) & k1_domain_1(B,C,D,E) = A))))) # label(fraenkel_a_2_0_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2209 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (k3_zfmisc_1(B,C,D) = A <-> (all E (r2_hidden(E,A) <-> (exists F ((exists G ((exists H (m1_subset_1(H,D) & E = k3_mcart_1(F,G,H))) & m1_subset_1(G,C))) & m1_subset_1(F,B)))))))))))))) # label(t17_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2210 $T # label(t30_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2211 (all A all B all C all D (m1_subset_1(D,B) & m1_subset_1(C,A) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k4_tarski(C,D) = k1_domain_1(A,B,C,D))) # label(redefinition_k1_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2212 $T # label(t38_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2213 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (r2_hidden(A,k3_zfmisc_1(B,C,D)) <-> (exists E (m1_subset_1(E,B) & (exists F (m1_subset_1(F,C) & (exists G (m1_subset_1(G,D) & A = k3_mcart_1(E,F,G)))))))))))))) # label(t15_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2214 (all A all B all C all D (m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) & -v1_xboole_0(B) -> (r2_hidden(A,a_3_4_domain_1(B,C,D)) <-> (exists E (m1_subset_1(E,B) & (r2_hidden(E,C) & -r2_hidden(E,D) | r2_hidden(E,D) & -r2_hidden(E,C)) & E = A))))) # label(fraenkel_a_3_4_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2215 (all A (r2_hidden(A,a_0_2_domain_1) <-> (exists B exists C (m1_subset_1(B,f1_s9_domain_1) & p1_s9_domain_1(B,C) & f4_s9_domain_1(B,C) = A & m1_subset_1(C,f2_s9_domain_1))))) # label(fraenkel_a_0_2_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2216 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> k7_subset_1(A,B,C) = a_3_4_domain_1(A,B,C))))))) # label(t61_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2217 $T # label(t13_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2218 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(C,k1_zfmisc_1(B)) -> ((exists E ((r2_hidden(E,D) <-> -r2_hidden(E,C)) & A = E & m1_subset_1(E,B))) <-> r2_hidden(A,a_3_5_domain_1(B,C,D))))) # label(fraenkel_a_3_5_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2219 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) & -v1_xboole_0(C) & -v1_xboole_0(A) -> m1_subset_1(k15_domain_1(A,B,C,D),B))) # label(dt_k15_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2220 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A)))) # label(dt_k6_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2221 (all A all B all C all D all E all F all G (m1_subset_1(B,A) & m1_subset_1(D,A) & m1_subset_1(G,A) & m1_subset_1(F,A) & m1_subset_1(E,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> m1_subset_1(k11_domain_1(A,B,C,D,E,F,G),k1_zfmisc_1(A)))) # label(dt_k11_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2222 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> (p2_s6_domain_1(B) <-> p1_s6_domain_1(B)))) -> a_1_5_domain_1(A) = a_1_6_domain_1(A)))) # label(s6_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2223 (all A all B all C all D all E all F (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(F,A) & m1_subset_1(E,A) & m1_subset_1(D,A) & m1_subset_1(C,A) -> k10_domain_1(A,B,C,D,E,F) = k3_enumset1(B,C,D,E,F))) # label(redefinition_k10_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2224 (all A all B all C all D all E (-v1_xboole_0(A) & m1_subset_1(E,A) & m1_subset_1(D,A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> m1_subset_1(k9_domain_1(A,B,C,D,E),k1_zfmisc_1(A)))) # label(dt_k9_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2225 $T # label(t4_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2226 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> ((all F ((exists G ((exists H (m1_subset_1(H,C) & (exists I (m1_subset_1(I,D) & (exists J (k4_mcart_1(G,H,I,J) = F & m1_subset_1(J,E))))))) & m1_subset_1(G,B))) <-> r2_hidden(F,A))) <-> A = k4_zfmisc_1(B,C,D,E)))))))))))) # label(t33_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2227 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> m1_subset_1(a_2_3_domain_1(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))))))) # label(s2_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2228 (all A all B all C all D all E all F (m1_subset_1(D,A) & m1_subset_1(F,A) & m1_subset_1(E,A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k10_domain_1(A,B,C,D,E,F),k1_zfmisc_1(A)))) # label(dt_k10_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2229 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(B,A) -> k1_enumset1(B,C,D) = k8_domain_1(A,B,C,D))) # label(redefinition_k8_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2230 $T # label(t35_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2231 $T # label(t18_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2232 (all A all B (-v1_xboole_0(B) -> ((exists C (C = A & -$T & m1_subset_1(C,B))) <-> r2_hidden(A,a_1_1_domain_1(B))))) # label(fraenkel_a_1_1_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2233 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,k2_zfmisc_1(A,B)) & -v1_xboole_0(B) -> k3_domain_1(A,B,C) = k2_mcart_1(C))) # label(redefinition_k3_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2234 (all A all B all C all D all E all F all G (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & m1_subset_1(D,A) & m1_subset_1(G,A) & m1_subset_1(F,A) & m1_subset_1(E,A) -> k4_enumset1(B,C,D,E,F,G) = k11_domain_1(A,B,C,D,E,F,G))) # label(redefinition_k11_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2235 $T # label(t10_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2236 (all A all B (-v1_xboole_0(B) -> ((exists C (m1_subset_1(C,B) & A = C & p2_s6_domain_1(C))) <-> r2_hidden(A,a_1_6_domain_1(B))))) # label(fraenkel_a_1_6_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2237 $T # label(t21_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2238 (all A all B all C all D all E all F all G all H (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(H,A) & m1_subset_1(G,A) & m1_subset_1(F,A) & m1_subset_1(E,A) & m1_subset_1(D,A) & m1_subset_1(C,A) -> k12_domain_1(A,B,C,D,E,F,G,H) = k5_enumset1(B,C,D,E,F,G,H))) # label(redefinition_k12_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2239 (all A all B all C all D all E (m1_subset_1(E,k1_zfmisc_1(C)) & m1_subset_1(D,k1_zfmisc_1(B)) & -v1_xboole_0(C) & -v1_xboole_0(B) -> (r2_hidden(A,a_4_1_domain_1(B,C,D,E)) <-> (exists F exists G (m1_subset_1(F,B) & k1_domain_1(B,C,F,G) = A & r2_hidden(F,D) & r2_hidden(G,E) & m1_subset_1(G,C)))))) # label(fraenkel_a_4_1_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2240 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> a_3_5_domain_1(A,B,C) = k7_subset_1(A,B,C))))))) # label(t62_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2241 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> (all F (m1_subset_1(F,k4_zfmisc_1(B,C,D,E)) -> (A = k10_mcart_1(B,C,D,E,F) <-> (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,C) -> (all I (m1_subset_1(I,D) -> (all J (m1_subset_1(J,E) -> (F = k5_domain_1(B,C,D,E,G,H,I,J) -> A = I)))))))))))))))))))) # label(t42_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2242 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k7_domain_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k7_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2243 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_0_domain_1(B)) <-> (exists C (m1_subset_1(C,B) & C = A))))) # label(fraenkel_a_1_0_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2244 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) -> (r2_hidden(A,a_3_3_domain_1(B,C,D)) <-> (exists E (m1_subset_1(E,B) & E = A & r2_hidden(E,C) & -r2_hidden(E,D)))))) # label(fraenkel_a_3_3_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2245 (all A all B all C all D all E all F all G all H all I (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(I,A) & m1_subset_1(H,A) & m1_subset_1(G,A) & m1_subset_1(F,A) & m1_subset_1(E,A) & m1_subset_1(D,A) & m1_subset_1(B,A) -> k6_enumset1(B,C,D,E,F,G,H,I) = k13_domain_1(A,B,C,D,E,F,G,H,I))) # label(redefinition_k13_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2246 (all A all B all C (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(C,k2_zfmisc_1(A,B)) -> m1_subset_1(k3_domain_1(A,B,C),B))) # label(dt_k3_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2247 $T # label(t36_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2248 (all A all B all C all D (-v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> (r2_hidden(A,a_3_0_domain_1(B,C,D)) <-> (exists E exists F exists G (A = k4_domain_1(B,C,D,E,F,G) & m1_subset_1(G,D) & m1_subset_1(F,C) & m1_subset_1(E,B)))))) # label(fraenkel_a_3_0_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2249 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_subset_1(C,k1_zfmisc_1(B)) -> (r2_hidden(A,a_3_6_domain_1(B,C,D)) <-> (exists E (m1_subset_1(E,B) & (-r2_hidden(E,D) <-> r2_hidden(E,C)) & A = E))))) # label(fraenkel_a_3_6_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2250 $T # label(t7_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2251 $T # label(t3_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2252 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(k2_zfmisc_1(A,B),C)) & -v1_xboole_0(B) -> k14_domain_1(A,B,C,D) = k17_mcart_1(D))) # label(redefinition_k14_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2253 $T # label(t11_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2254 $T # label(t1_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2255 (all A all B all C all D all E (-v1_xboole_0(E) & -v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> (r2_hidden(A,a_4_0_domain_1(B,C,D,E)) <-> (exists F exists G exists H exists I (m1_subset_1(H,D) & k5_domain_1(B,C,D,E,F,G,H,I) = A & m1_subset_1(I,E) & m1_subset_1(G,C) & m1_subset_1(F,B)))))) # label(fraenkel_a_4_0_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2256 $T # label(t22_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2257 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) & -v1_xboole_0(C) -> m1_subset_1(k16_domain_1(A,B,C,D),B))) # label(dt_k16_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2258 (all A (r2_hidden(A,a_0_5_domain_1) <-> (exists B (m1_subset_1(B,f1_s10_domain_1) & p2_s10_domain_1(B) & B = A)))) # label(fraenkel_a_0_5_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2259 $T # label(t44_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2260 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) & m1_subset_1(D,k1_zfmisc_1(B)) -> (r2_hidden(A,a_3_2_domain_1(B,C,D)) <-> (exists E ((r2_hidden(E,C) | r2_hidden(E,D)) & A = E & m1_subset_1(E,B)))))) # label(fraenkel_a_3_2_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2261 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(B)) -> a_4_1_domain_1(A,B,C,D) = k12_mcart_1(A,B,C,D))))))))) # label(t53_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2262 $T # label(t2_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2263 $T # label(t14_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2264 $T # label(t47_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2265 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(D,A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> m1_subset_1(k8_domain_1(A,B,C,D),k1_zfmisc_1(A)))) # label(dt_k8_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2266 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(D,k2_zfmisc_1(A,k2_zfmisc_1(B,C))) & -v1_xboole_0(A) -> k17_domain_1(A,B,C,D) = k20_mcart_1(D))) # label(redefinition_k17_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2267 (all A (-v1_xboole_0(A) -> m1_subset_1(a_1_2_domain_1(A),k1_zfmisc_1(A)))) # label(s1_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2268 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> a_3_2_domain_1(A,B,C) = k4_subset_1(A,B,C))))))) # label(t59_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2269 (all A (r2_hidden(A,a_0_4_domain_1) <-> (exists B (A = B & p1_s10_domain_1(B) & m1_subset_1(B,f1_s10_domain_1))))) # label(fraenkel_a_0_4_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2270 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> ((all F (r2_hidden(F,A) <-> (exists G (m1_subset_1(G,B) & (exists H (m1_subset_1(H,C) & (exists I ((exists J (F = k4_mcart_1(G,H,I,J) & m1_subset_1(J,E))) & m1_subset_1(I,D))))))))) -> A = k4_zfmisc_1(B,C,D,E)))))))))))) # label(t32_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2271 (all A all B all C (-v1_xboole_0(B) & -v1_xboole_0(C) -> (r2_hidden(A,a_2_3_domain_1(B,C)) <-> (exists D exists E (m1_subset_1(D,B) & m1_subset_1(E,C) & p1_s2_domain_1(D,E) & A = k1_domain_1(B,C,D,E)))))) # label(fraenkel_a_2_3_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2272 (all A all B all C (-v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(B)) -> (r2_hidden(A,a_2_2_domain_1(B,C)) <-> (exists D (-r2_hidden(D,C) & D = A & m1_subset_1(D,B)))))) # label(fraenkel_a_2_2_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2273 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (all F (m1_subset_1(F,k1_zfmisc_1(B)) -> (all G (m1_subset_1(G,k1_zfmisc_1(C)) -> (all H (m1_subset_1(H,k1_zfmisc_1(D)) -> k14_mcart_1(A,B,C,D,E,F,G,H) = a_8_0_domain_1(A,B,C,D,E,F,G,H))))))))))))))))) # label(t55_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2274 (all A all B all C (m1_subset_1(C,k2_zfmisc_1(A,B)) & -v1_xboole_0(B) & -v1_xboole_0(A) -> m1_subset_1(k2_domain_1(A,B,C),A))) # label(dt_k2_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2275 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,k3_zfmisc_1(B,C,D)) -> (A = k5_mcart_1(B,C,D,E) <-> (all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,C) -> (all H (m1_subset_1(H,D) -> (k4_domain_1(B,C,D,F,G,H) = E -> F = A)))))))))))))))) # label(t24_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2276 (all A all B all C all D all E all F all G (-v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) & m1_subset_1(G,k1_zfmisc_1(D)) & m1_subset_1(F,k1_zfmisc_1(C)) & m1_subset_1(E,k1_zfmisc_1(B)) -> ((exists H exists I exists J (m1_subset_1(I,C) & m1_subset_1(J,D) & A = k4_domain_1(B,C,D,H,I,J) & r2_hidden(I,F) & r2_hidden(J,G) & r2_hidden(H,E) & m1_subset_1(H,B))) <-> r2_hidden(A,a_6_0_domain_1(B,C,D,E,F,G))))) # label(fraenkel_a_6_0_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2277 $T # label(t6_domain_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2278 (all A all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all C (m1_subset_1(C,A) -> (v1_binop_1(B,A) -> (r3_binop_1(A,C,B) <-> r2_binop_1(A,C,B))))))) # label(t15_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2279 (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]. 25.68/25.10 2280 $T # label(t22_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2281 (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) -> D = k1_binop_1(B,D,C) & k1_binop_1(B,C,D) = D)) <-> r3_binop_1(A,C,B)))))) # label(t11_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2282 (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 (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) <-> r5_binop_1(A,B,C) & r4_binop_1(A,B,C)))))) # label(d11_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2283 (all A all B (m1_subset_1(B,A) -> (all C (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> ((all D (m1_subset_1(D,A) -> D = k1_binop_1(C,D,B))) <-> r2_binop_1(A,B,C)))))) # label(d6_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2284 $T # label(t9_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2285 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k1_binop_1(C,k1_binop_1(B,D,E),k1_binop_1(B,D,F)) = k1_binop_1(B,D,k1_binop_1(C,E,F)))))))) <-> r4_binop_1(A,B,C)))))) # label(d9_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2286 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (r3_binop_1(A,C,B) & r3_binop_1(A,D,B) -> C = D))))))) # label(t18_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.10 2287 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (v1_binop_1(C,A) -> ((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]. 25.68/25.11 2288 $T # label(t6_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2289 $T # label(t8_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2290 (all A (m1_relset_1(A,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0) -> (v1_funct_2(A,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0) & v1_funct_1(A) -> v1_funct_1(A) & v1_xboole_0(A) & v1_funct_2(A,k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0) & v2_binop_1(A,k1_xboole_0) & v1_binop_1(A,k1_xboole_0)))) # label(cc1_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2291 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (v2_binop_1(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> k2_binop_1(A,A,A,B,k2_binop_1(A,A,A,B,C,D),E) = k2_binop_1(A,A,A,B,C,k2_binop_1(A,A,A,B,D,E))))))))))))) # label(d14_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2292 (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 (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(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(d10_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2293 $T # label(dt_k1_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2294 $T # label(t4_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2295 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (r2_binop_1(A,D,B) & r1_binop_1(A,C,B) -> D = C))))))) # label(t17_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2296 $T # label(t5_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2297 $T # label(t7_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2298 (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) -> (r3_binop_1(A,C,B) <-> k3_binop_1(A,B) = C)))))) # label(d8_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2299 (exists 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) & v1_funct_1(A))) # label(s2_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2300 $T # label(t10_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2301 (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) -> k1_binop_1(C,B,D) = D)) <-> r1_binop_1(A,B,C)))))) # label(d5_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2302 $T # label(t20_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2303 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> (v1_binop_1(B,A) -> (r1_binop_1(A,C,B) <-> r3_binop_1(A,C,B))))))) # label(t14_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2304 (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(C,k1_binop_1(B,D,E),k1_binop_1(B,D,F)) = k1_binop_1(B,D,k1_binop_1(C,E,F)) & k1_binop_1(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(t23_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2305 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> ((all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> k2_binop_1(A,A,A,B,D,C) = k2_binop_1(A,A,A,B,C,D))))) <-> v1_binop_1(B,A)))))) # label(d13_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2306 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (v2_binop_1(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> k1_binop_1(B,C,k1_binop_1(B,D,E)) = k1_binop_1(B,k1_binop_1(B,C,D),E)))))))))) # label(d3_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2307 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (r2_binop_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> D = k2_binop_1(A,A,A,C,D,B)))))))))) # label(d17_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2308 (all A (m1_subset_1(A,f1_s1_binop_1) -> (all B (m1_subset_1(B,f1_s1_binop_1) -> (exists C (p1_s1_binop_1(A,B,C) & m1_subset_1(C,f1_s1_binop_1))))))) -> (exists A (v1_funct_1(A) & (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)))))) & m2_relset_1(A,k2_zfmisc_1(f1_s1_binop_1,f1_s1_binop_1),f1_s1_binop_1) & v1_funct_2(A,k2_zfmisc_1(f1_s1_binop_1,f1_s1_binop_1),f1_s1_binop_1))) # label(s1_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2309 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (r1_binop_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> k2_binop_1(A,A,A,C,B,D) = D))))))))) # label(d16_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2310 (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 (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k2_binop_1(A,A,A,C,k2_binop_1(A,A,A,B,D,F),k2_binop_1(A,A,A,B,E,F)) = k2_binop_1(A,A,A,B,k2_binop_1(A,A,A,C,D,E),F))))))) <-> r5_binop_1(A,B,C)))))))) # label(d19_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2311 $T # label(t19_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2312 (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) -> (v3_binop_1(B,A) <-> (all C (m1_subset_1(C,A) -> C = k1_binop_1(B,C,C)))))) # label(d4_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2313 (all A (-v1_xboole_0(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) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> k2_binop_1(A,A,A,C,k8_funct_2(A,A,B,D),k8_funct_2(A,A,B,E)) = k8_funct_2(A,A,B,k2_binop_1(A,A,A,C,D,E)))))) <-> r7_binop_1(A,B,C)))))))) # label(d20_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2314 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (v1_binop_1(C,A) -> (r6_binop_1(A,C,B) <-> r4_binop_1(A,C,B))))))))) # label(t26_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2315 $T # label(t21_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2316 (all A all B (m1_subset_1(B,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (r3_binop_1(A,B,C) <-> r1_binop_1(A,B,C) & r2_binop_1(A,B,C)))))) # label(d7_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2317 (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) -> (r5_binop_1(A,C,B) <-> r4_binop_1(A,C,B))))))))) # label(t28_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2318 (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 (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (v1_binop_1(C,A) -> (r6_binop_1(A,C,B) <-> r5_binop_1(A,C,B))))))))) # label(t27_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2319 (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) = C)) <-> v3_binop_1(B,A)))))) # label(d15_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2320 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> (all C (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> k1_binop_1(C,k1_funct_1(B,D),k1_funct_1(B,E)) = k1_funct_1(B,k1_binop_1(C,D,E)))))) <-> r7_binop_1(A,B,C)))))) # label(d12_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2321 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (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]. 25.68/25.11 2322 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (v1_binop_1(C,A) -> (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]. 25.68/25.11 2323 (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) -> (r2_binop_1(A,C,B) <-> r1_binop_1(A,C,B))))))) # label(t16_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2324 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> (v1_binop_1(B,A) -> ((all D (m1_subset_1(D,A) -> D = k1_binop_1(B,D,C))) <-> r3_binop_1(A,C,B))))))) # label(t13_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2325 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (v1_binop_1(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> k1_binop_1(B,D,C) = k1_binop_1(B,C,D)))))))) # label(d2_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2326 (all A all B all C all D all E all F (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_funct_1(D) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k1_binop_1(D,E,F) = k2_binop_1(A,B,C,D,E,F))) # label(redefinition_k2_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2327 $T # label(t1_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2328 (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 (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (r4_binop_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k2_binop_1(A,A,A,B,D,k2_binop_1(A,A,A,C,E,F)) = k2_binop_1(A,A,A,C,k2_binop_1(A,A,A,B,D,E),k2_binop_1(A,A,A,B,D,F))))))))))))))) # label(d18_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2329 (all A all B all C all D all E all F (-v1_xboole_0(B) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & m1_subset_1(E,A) & m1_subset_1(F,B) & v1_funct_1(D) & -v1_xboole_0(A) -> m1_subset_1(k2_binop_1(A,B,C,D,E,F),C))) # label(dt_k2_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2330 (all A (v1_funct_1(A) & v1_relat_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]. 25.68/25.11 2331 $T # label(t3_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2332 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_2(D,k2_zfmisc_1(A,B),C) -> (all E (v1_funct_1(E) & 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,E,F,G) = k2_binop_1(A,B,C,D,F,G))))) -> E = D))))))))))) # label(t2_binop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2333 (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,k7_funct_2(A,B,B,D,E),D) = k7_funct_2(A,B,B,D,k6_funcop_1(B,B,C,E,k6_partfun1(B))))))))))))) # label(t52_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2334 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m2_relset_1(D,A,k2_zfmisc_1(B,C)) & v1_funct_1(D) -> k9_funcop_1(A,C,B,k10_funcop_1(A,B,C,D)) = k4_relat_1(k9_funcop_1(A,B,C,D)))))))))) # label(t73_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2335 (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) -> (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]. 25.68/25.11 2336 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (m2_relset_1(D,B,A) & v1_funct_2(D,B,A) & v1_funct_1(D) -> (all E (m2_relset_1(E,B,A) & v1_funct_2(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]. 25.68/25.11 2337 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_xboole_0 = k1_relat_1(B) & k1_xboole_0 = k1_relat_1(A) -> B = A))))) # label(t4_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2338 $T # label(t5_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2339 (all A all B all C all D all E (-v1_xboole_0(B) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & m1_subset_1(D,A) & v1_funct_1(E) & v1_funct_2(E,B,A) & m1_relset_1(E,B,A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & -v1_xboole_0(A) -> v1_funct_1(k8_funcop_1(A,B,C,D,E)) & v1_funct_2(k8_funcop_1(A,B,C,D,E),B,A) & m2_relset_1(k8_funcop_1(A,B,C,D,E),B,A))) # label(dt_k8_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2340 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C all D (v1_funct_1(D) & v1_relat_1(D) -> (all E (k7_relat_1(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]. 25.68/25.11 2341 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,B) -> k7_funcop_1(B,A,C,D,E) = k7_funct_2(A,B,B,D,k7_funcop_1(B,B,C,k6_partfun1(B),E)))))))))))) # label(t63_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2342 (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 (m2_relset_1(E,A,B) & v1_funct_2(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]. 25.68/25.11 2343 (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) -> (v3_binop_1(C,B) -> k6_funcop_1(B,A,C,D,D) = D))))))))) # label(t81_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2344 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (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,D,k6_funcop_1(B,A,C,E,F)) = k6_funcop_1(B,A,C,k6_funcop_1(B,A,C,D,E),F)))))))))))))) # label(t76_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2345 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (v1_funct_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> k2_binop_1(A,A,A,C,E,k8_funct_2(B,A,D,F)) = k8_funct_2(B,A,k8_funcop_1(A,B,C,E,D),F))))))))))))) # label(t66_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2346 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (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]. 25.68/25.11 2347 $T # label(t12_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2348 (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]. 25.68/25.11 2349 (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,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]. 25.68/25.11 2350 (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_funcop_1(C,D,k7_relat_1(A,B)) = k5_relat_1(k6_partfun1(B),k5_funcop_1(C,D,A))))))) # label(t46_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2351 (all A all B (A != k1_xboole_0 -> k1_tarski(B) = k2_relat_1(k2_funcop_1(A,B)))) # label(t14_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2352 $T # label(dt_k5_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2353 (all A all B (v1_relat_1(k2_funcop_1(A,B)) & v1_funct_1(k2_funcop_1(A,B)))) # label(fc1_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2354 (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 k4_funcop_1(k5_relat_1(C,A),B,D) = k5_relat_1(k4_funcop_1(C,B,D),A)))))))) # label(t38_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2355 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_relset_1(D,A,k2_zfmisc_1(B,C)) & -v1_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]. 25.68/25.11 2356 (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]. 25.68/25.11 2357 $T # label(t33_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2358 $T # label(t68_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2359 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C all D (r2_hidden(C,k1_relat_1(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]. 25.68/25.11 2360 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> 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]. 25.68/25.11 2361 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (v1_funct_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (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]. 25.68/25.11 2362 (all A all B all C (v1_relat_1(A) & v1_funct_1(A) & v1_funct_1(B) & v1_funct_1(C) & v1_relat_1(C) & v1_relat_1(B) -> v1_relat_1(k3_funcop_1(A,B,C)) & v1_funct_1(k3_funcop_1(A,B,C)))) # label(fc4_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2363 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,B) -> m2_relset_1(k5_funcop_1(C,E,D),A,B) & v1_funct_2(k5_funcop_1(C,E,D),A,B) & v1_funct_1(k5_funcop_1(C,E,D)))))))))))) # label(t65_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2364 (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_relat_1(k5_relat_1(B,A)) & v1_funcop_1(k5_relat_1(B,A)) & v1_funct_1(k5_relat_1(B,A)))) # label(fc8_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2365 (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) -> k7_funct_2(A,B,B,D,k8_funcop_1(B,B,C,E,k6_partfun1(B))) = k8_funcop_1(B,A,C,E,D))))))))))) # label(t69_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2366 (all A (v1_relat_1(A) -> (all B all C (A = k2_zfmisc_1(B,C) -> B = k1_xboole_0 | k1_xboole_0 = C | B = k1_relat_1(A) & C = k2_relat_1(A))))) # label(t1_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2367 (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]. 25.68/25.11 2368 (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) -> 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]. 25.68/25.11 2369 (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_funct_1(D,E) = k1_binop_1(C,k1_funct_1(A,E),k1_funct_1(B,E)))) -> D = k3_funcop_1(C,A,B)))))))))) # label(t27_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2370 (all A all B all C all D all E (m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_relset_1(D,B,A) & v1_funct_2(E,B,A) & m1_relset_1(E,B,A) & v1_funct_1(E) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> v1_funct_1(k6_funcop_1(A,B,C,D,E)) & v1_funct_2(k6_funcop_1(A,B,C,D,E),B,A) & m2_relset_1(k6_funcop_1(A,B,C,D,E),B,A))) # label(dt_k6_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2371 (all A all B all C all D (-v1_xboole_0(B) & v1_funct_1(D) & m1_relset_1(D,A,k2_zfmisc_1(B,C)) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & -v1_xboole_0(C) & -v1_xboole_0(A) -> k9_funcop_1(A,B,C,D) = k2_relat_1(D))) # label(redefinition_k9_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2372 (exists A (v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(A))) # label(rc1_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2373 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (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]. 25.68/25.11 2374 (all A all B (v1_xboole_0(B) -> v1_xboole_0(k2_funcop_1(B,A)) & v1_relat_1(k2_funcop_1(B,A)) & v1_funct_1(k2_funcop_1(B,A)) & v2_funct_1(k2_funcop_1(B,A)))) # label(fc3_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2375 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & m1_relset_1(D,A,k2_zfmisc_1(B,C)) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & v1_funct_1(D) -> m2_relset_1(k9_funcop_1(A,B,C,D),B,C))) # label(dt_k9_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2376 (all A all B all C all D all E (-v1_xboole_0(A) & v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & m1_relset_1(D,B,A) & v1_funct_1(E) & m1_relset_1(E,B,A) & v1_funct_2(E,B,A) & v1_funct_2(D,B,A) & v1_funct_1(D) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & -v1_xboole_0(B) -> k3_funcop_1(C,D,E) = k6_funcop_1(A,B,C,D,E))) # label(redefinition_k6_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2377 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> k1_funcop_1(k13_funct_3(B,A)) = k13_funct_3(A,B))))) # label(t6_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2378 $T # label(dt_k4_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2379 (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]. 25.68/25.11 2380 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,k2_zfmisc_1(B,C)) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) -> m2_relset_1(k2_relat_1(D),B,C))))))))) # label(t72_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2381 $T # label(dt_k3_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2382 (all A all B all C (v1_funct_1(A) & v1_funct_1(C) & v1_relat_1(C) & v1_relat_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]. 25.68/25.11 2383 (all A all B (-v1_xboole_0(B) -> v1_relat_1(k2_funcop_1(A,B)) & v1_funct_1(k2_funcop_1(A,B)) & v2_relat_1(k2_funcop_1(A,B)))) # label(fc9_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2384 (all A all B all C all D all E (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(E) & m1_relset_1(E,B,A) & v1_funct_2(E,B,A) & m1_subset_1(D,A) -> k8_funcop_1(A,B,C,D,E) = k5_funcop_1(C,D,E))) # label(redefinition_k8_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2385 $T # label(t50_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2386 (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) -> k2_binop_1(A,A,A,B,C,C) = k8_funct_2(A,A,k7_funcop_1(A,A,B,k6_partfun1(A),C),C))))))) # label(t64_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2387 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m1_relset_1(D,A,k2_zfmisc_1(B,C)) & -v1_xboole_0(B) -> m2_relset_1(k10_funcop_1(A,B,C,D),A,k2_zfmisc_1(C,B)) & v1_funct_2(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]. 25.68/25.11 2388 (all A all B all C (r2_hidden(B,C) -> A = k10_relat_1(k2_funcop_1(A,B),C))) # label(t20_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2389 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (k1_tarski(B) = k2_relat_1(A) -> k2_funcop_1(k1_relat_1(A),B) = A)))) # label(t15_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2390 (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]. 25.68/25.11 2391 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C k5_relat_1(k13_funct_3(B,k2_funcop_1(k1_relat_1(B),C)),A) = k4_funcop_1(A,B,C)))))) # label(d4_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2392 (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]. 25.68/25.11 2393 (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]. 25.68/25.11 2394 (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) -> 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]. 25.68/25.11 2395 $T # label(dt_k2_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2396 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(C) & v1_funct_1(D) & m1_relset_1(D,A,k2_zfmisc_1(B,C)) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & -v1_xboole_0(A) -> D = k10_funcop_1(A,B,C,k10_funcop_1(A,B,C,D)))) # label(involutiveness_k10_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2397 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (all F (m1_subset_1(F,B) -> (v2_binop_1(C,B) -> k6_funcop_1(B,A,C,k7_funcop_1(B,A,C,D,F),E) = k6_funcop_1(B,A,C,D,k8_funcop_1(B,A,C,F,E))))))))))))))) # label(t75_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2398 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,A,k2_zfmisc_1(B,C)) & v1_funct_2(D,A,k2_zfmisc_1(B,C)) & v1_funct_1(D) -> (all E (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]. 25.68/25.11 2399 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C k3_funcop_1(B,A,k2_funcop_1(k1_relat_1(A),C)) = k4_funcop_1(B,A,C)))))) # label(t34_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2400 (all A k12_funct_3(A) = k1_funcop_1(k12_funct_3(A))) # label(t9_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2401 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (all D (m2_relset_1(D,B,A) & v1_funct_2(D,B,A) & v1_funct_1(D) -> (all E (m1_subset_1(E,B) -> (v3_binop_1(C,A) -> k8_funct_2(B,A,k8_funcop_1(A,B,C,k8_funct_2(B,A,D,E),D),E) = k8_funct_2(B,A,D,E)))))))))))) # label(t82_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2402 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> 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]. 25.68/25.11 2403 (all A all B (v1_relat_1(A) & v1_funcop_1(A) & v1_funct_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]. 25.68/25.11 2404 (all A all B all C (r2_hidden(C,B) -> m2_relset_1(k2_funcop_1(A,C),A,B) & v1_funct_2(k2_funcop_1(A,C),A,B) & v1_funct_1(k2_funcop_1(A,C)))) # label(t57_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2405 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C all D (v1_relat_1(D) & v1_funct_1(D) -> (all E (k7_relat_1(B,C) = k7_relat_1(A,C) -> k7_relat_1(k4_funcop_1(D,A,E),C) = k7_relat_1(k4_funcop_1(D,B,E),C))))))))) # label(t36_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.11 2406 (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]. 25.68/25.11 2407 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> (all D (v1_funct_2(D,A,A) & m2_relset_1(D,A,A) & v1_funct_1(D) -> k8_funct_2(A,A,k6_funcop_1(A,A,B,D,k6_partfun1(A)),C) = k2_binop_1(A,A,A,B,k8_funct_2(A,A,D,C),C))))))))) # label(t55_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2408 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_2(D,B,A) & m1_subset_1(E,A) & m1_relset_1(D,B,A) & v1_funct_1(D) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & -v1_xboole_0(A) -> v1_funct_1(k7_funcop_1(A,B,C,D,E)) & 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))) # label(dt_k7_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2409 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (r2_hidden(C,k1_relat_1(A)) -> k2_funcop_1(B,k1_funct_1(A,C)) = k5_relat_1(k2_funcop_1(B,C),A))))) # label(t23_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2410 (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]. 25.68/25.12 2411 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (r2_hidden(D,k1_relat_1(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]. 25.68/25.12 2412 (all A (v2_funct_1(k2_funcop_1(k1_xboole_0,A)) & v1_funct_1(k2_funcop_1(k1_xboole_0,A)) & v1_relat_1(k2_funcop_1(k1_xboole_0,A)) & v1_xboole_0(k2_funcop_1(k1_xboole_0,A)))) # label(fc2_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2413 (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]. 25.68/25.12 2414 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B k7_relat_1(k1_funcop_1(A),B) = k1_funcop_1(k7_relat_1(A,B))))) # label(t7_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2415 (all A (v1_funct_1(A) & v1_relat_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]. 25.68/25.12 2416 $T # label(t40_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2417 (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]. 25.68/25.12 2418 (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) -> k8_funct_2(B,A,D,G) = k2_binop_1(A,A,A,C,F,k8_funct_2(B,A,E,G)))) -> D = k8_funcop_1(A,B,C,F,E)))))))))))))) # label(t67_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2419 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C k3_funcop_1(B,k2_funcop_1(k1_relat_1(A),C),A) = k5_funcop_1(B,C,A)))))) # label(t41_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2420 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (m1_subset_1(C,A) -> k2_binop_1(A,A,A,B,C,C) = k8_funct_2(A,A,k6_funcop_1(A,A,B,k6_partfun1(A),k6_partfun1(A)),C))))))) # label(t56_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2421 (all A (k2_relat_1(k2_funcop_1(k1_xboole_0,A)) = k1_xboole_0 & k1_relat_1(k2_funcop_1(k1_xboole_0,A)) = k1_xboole_0)) # label(t16_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2422 $T # label(t8_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2423 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k1_funcop_1(A)) & v1_funct_1(k1_funcop_1(A)))) # label(dt_k1_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2424 (all A all B all C (v1_relat_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) -> v1_relat_1(k4_funcop_1(A,B,C)) & v1_funct_1(k4_funcop_1(A,B,C)))) # label(fc5_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2425 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(B) = k1_relat_1(A) -> k1_relat_1(k5_relat_1(C,A)) = k1_relat_1(k5_relat_1(C,B))))))))) # label(t3_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2426 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> v1_funct_2(k2_funcop_1(A,C),A,B) & m2_relset_1(k2_funcop_1(A,C),A,B) & v1_funct_1(k2_funcop_1(A,C)))))) # label(t58_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2427 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all C (m1_subset_1(C,A) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,A) & v1_funct_2(D,A,A) -> k8_funct_2(A,A,k6_funcop_1(A,A,B,k6_partfun1(A),D),C) = k2_binop_1(A,A,A,B,C,k8_funct_2(A,A,D,C)))))))))) # label(t54_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2428 (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(A,D) = k7_relat_1(B,D) -> k7_relat_1(k3_funcop_1(E,C,B),D) = k7_relat_1(k3_funcop_1(E,C,A),D)))))))))) # label(t30_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2429 (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]. 25.68/25.12 2430 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C k7_relat_1(k13_funct_3(A,B),C) = k13_funct_3(A,k7_relat_1(B,C))))))) # label(t11_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2431 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_zfmisc_1(k2_relat_1(B),k2_relat_1(C)),k1_relat_1(A)) -> k3_xboole_0(k1_relat_1(B),k1_relat_1(C)) = k1_relat_1(k3_funcop_1(A,B,C))))))))) # label(t84_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2432 (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) -> k7_funct_2(A,B,B,D,k6_funcop_1(B,B,C,k6_partfun1(B),k6_partfun1(B))) = k6_funcop_1(B,A,C,D,D))))))))) # label(t53_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2433 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (all D (v1_funct_1(D) & v1_funct_2(D,B,A) & m2_relset_1(D,B,A) -> (all E (m1_subset_1(E,B) -> (v3_binop_1(C,A) -> k8_funct_2(B,A,D,E) = k8_funct_2(B,A,k7_funcop_1(A,B,C,D,k8_funct_2(B,A,D,E)),E)))))))))))) # label(t83_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2434 (all A (v1_funct_1(A) & v1_relat_1(A) -> A = k1_funcop_1(k1_funcop_1(A)))) # label(involutiveness_k1_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2435 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (v1_binop_1(C,B) -> k6_funcop_1(B,A,C,E,D) = k6_funcop_1(B,A,C,D,E)))))))))))) # label(t80_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2436 (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]. 25.68/25.12 2437 (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) & m1_subset_1(E,A) & m1_relset_1(D,B,A) & v1_funct_2(D,B,A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & -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]. 25.68/25.12 2438 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (all D (v1_funct_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (all E (v1_funct_2(E,B,A) & m2_relset_1(E,B,A) & v1_funct_1(E) -> (all F (m1_subset_1(F,A) -> ((all G (m1_subset_1(G,B) -> k2_binop_1(A,A,A,C,k8_funct_2(B,A,E,G),F) = k8_funct_2(B,A,D,G))) -> k7_funcop_1(A,B,C,E,F) = D))))))))))))) # label(t61_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2439 (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]. 25.68/25.12 2440 (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(C,D,k5_relat_1(B,A)) = k5_relat_1(B,k5_funcop_1(C,D,A))))))))) # label(t44_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2441 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C -(k1_xboole_0 != B & r2_hidden(C,k1_relat_1(A)) & k1_xboole_0 = k1_relat_1(k5_relat_1(k2_funcop_1(B,C),A)))))) # label(t24_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2442 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D k4_funcop_1(C,k7_relat_1(A,B),D) = k5_relat_1(k6_partfun1(B),k4_funcop_1(C,A,D))))))) # label(t39_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2443 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_funcop_1(A) = B <-> (all C (r2_hidden(C,k1_relat_1(A)) -> (all D all E (k4_tarski(D,E) = k1_funct_1(A,C) -> k1_funct_1(B,C) = k4_tarski(E,D))) & -(k1_funct_1(A,C) != k1_funct_1(B,C) & (all D all E k1_funct_1(A,C) != k4_tarski(D,E))))) & k1_relat_1(A) = k1_relat_1(B)))))) # label(d1_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2444 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D all E (v1_funct_1(E) & v1_relat_1(E) -> (k7_relat_1(A,D) = k7_relat_1(B,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]. 25.68/25.12 2445 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> m2_relset_1(k3_funcop_1(C,D,E),A,B) & v1_funct_2(k3_funcop_1(C,D,E),A,B) & v1_funct_1(k3_funcop_1(C,D,E)))))))))))) # label(t47_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2446 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (m1_subset_1(E,B) -> v1_funct_1(k4_funcop_1(C,D,E)) & m2_relset_1(k4_funcop_1(C,D,E),A,B) & v1_funct_2(k4_funcop_1(C,D,E),A,B))))))))))) # label(t59_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2447 $T # label(t62_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2448 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_2(E,B,B) & m2_relset_1(E,B,B) & v1_funct_1(E) -> 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]. 25.68/25.12 2449 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D k5_relat_1(k5_funcop_1(C,D,B),A) = k5_funcop_1(k5_relat_1(C,A),D,B)))))))) # label(t45_funcop_1) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2450 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k2_relat_1(k3_funct_4(A,B)),k2_zfmisc_1(k2_relat_1(A),k2_relat_1(B))))))) # label(t59_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2451 (all A (v1_relat_1(A) & v1_funct_1(A) -> k1_funct_4(A,k1_xboole_0) = A)) # label(t22_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2452 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> ((all D (r2_hidden(D,k1_relat_1(C)) <-> (exists E exists F exists G exists H (r2_hidden(k4_tarski(E,F),k1_relat_1(A)) & r2_hidden(k4_tarski(G,H),k1_relat_1(B)) & k4_tarski(k4_tarski(E,G),k4_tarski(F,H)) = D)))) & (all D all E all F all G (r2_hidden(k4_tarski(F,G),k1_relat_1(B)) & r2_hidden(k4_tarski(D,E),k1_relat_1(A)) -> k4_tarski(k1_funct_1(A,k4_tarski(D,E)),k1_funct_1(B,k4_tarski(F,G))) = k1_funct_1(C,k4_tarski(k4_tarski(D,F),k4_tarski(E,G))))) <-> C = k3_funct_4(A,B)))))))) # label(d3_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2453 (all A all B all C all D (m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) -> m2_relset_1(k2_funct_4(D),k2_zfmisc_1(B,A),C) & v1_funct_1(k2_funct_4(D)))) # label(t49_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2454 (all A all B (r1_tarski(k6_partfun1(A),k6_partfun1(B)) <-> r1_tarski(A,B))) # label(t4_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2455 (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) -> m2_relset_1(k1_funct_4(C,D),A,B) & v1_funct_1(k1_funct_4(C,D)))))) # label(t41_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2456 (all A all B all C all D all E (v1_funct_1(E) & v1_relat_1(E) -> (all F (v1_funct_1(F) & v1_relat_1(F) -> (r2_hidden(k4_tarski(k4_tarski(A,B),k4_tarski(C,D)),k1_relat_1(k3_funct_4(E,F))) -> k4_tarski(k1_funct_1(E,k4_tarski(A,C)),k1_funct_1(F,k4_tarski(B,D))) = k1_funct_1(k3_funct_4(E,F),k4_tarski(k4_tarski(A,B),k4_tarski(C,D)))))))) # label(t58_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2457 $T # label(dt_k4_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2458 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_partfun1(A,B) <-> r1_tarski(A,k1_funct_4(A,B))))))) # label(t29_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2459 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> k2_relat_1(C) = k2_relat_1(k2_funct_4(C))))) # label(t48_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2460 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_funct_1(B) & v1_relat_1(B) -> k1_funct_4(A,A) = A)) # label(idempotence_k1_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2461 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(C,D) -> r1_tarski(k7_relat_1(k8_relat_1(A,C),B),k7_relat_1(k8_relat_1(A,D),B))))))) # label(t10_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2462 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(B)) -> r1_tarski(k2_funcop_1(k1_tarski(A),k1_funct_1(B,A)),B)))) # label(t8_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2463 (all A all B all C all D all E all F all G (v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(A,B),C) & m2_relset_1(G,k2_zfmisc_1(A,B),C) -> (all H (v1_funct_1(H) & m2_relset_1(H,k2_zfmisc_1(D,E),F) & v1_funct_2(H,k2_zfmisc_1(D,E),F) -> -(k1_xboole_0 != C & -(m2_relset_1(k3_funct_4(G,H),k2_zfmisc_1(k2_zfmisc_1(A,D),k2_zfmisc_1(B,E)),k2_zfmisc_1(C,F)) & v1_funct_2(k3_funct_4(G,H),k2_zfmisc_1(k2_zfmisc_1(A,D),k2_zfmisc_1(B,E)),k2_zfmisc_1(C,F)) & v1_funct_1(k3_funct_4(G,H))) & k1_xboole_0 != F))))) # label(t63_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2464 (all A all B (v1_relat_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) -> v1_relat_1(k3_funct_4(A,B)) & v1_funct_1(k3_funct_4(A,B)))) # label(dt_k3_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2465 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (k2_zfmisc_1(A,B) = k1_relat_1(C) -> k1_relat_1(k2_funct_4(C)) = k2_zfmisc_1(B,A)))) # label(t47_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2466 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k1_funct_4(A,B),k2_xboole_0(A,B)))))) # label(t30_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2467 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_xboole_0(k1_relat_1(A),k1_relat_1(B)) -> k1_funct_4(A,B) = k1_funct_4(B,A)))))) # label(t36_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2468 (all A (v1_relat_1(A) & v1_funct_1(A) -> r1_tarski(k2_relat_1(k2_funct_4(A)),k2_relat_1(A)))) # label(t42_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2469 (all A all B all C all D all E (v1_funct_1(E) & v1_relat_1(E) -> (all F (v1_funct_1(F) & v1_relat_1(F) -> (r1_tarski(k1_relat_1(E),k2_zfmisc_1(A,B)) & r1_tarski(k1_relat_1(F),k2_zfmisc_1(C,D)) -> r1_tarski(k1_relat_1(k3_funct_4(E,F)),k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)))))))) # label(t60_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2470 (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) -> (C != k1_xboole_0 -> m2_relset_1(k2_funct_4(D),k2_zfmisc_1(B,A),C) & v1_funct_2(k2_funct_4(D),k2_zfmisc_1(B,A),C) & v1_funct_1(k2_funct_4(D))))) # label(t50_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2471 $T # label(t3_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2472 (all A all B all C k2_funcop_1(k2_tarski(A,B),C) = k4_funct_4(A,B,C,C)) # label(t68_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2473 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k2_funct_4(A)) & v1_funct_1(k2_funct_4(A)))) # label(dt_k2_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2474 (all A all B all C all D (v1_funct_1(k4_funct_4(A,B,C,D)) & v1_relat_1(k4_funct_4(A,B,C,D)))) # label(fc1_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2475 (all A all B all C all D (C != A -> k4_funct_4(A,C,B,D) = k2_tarski(k4_tarski(A,B),k4_tarski(C,D)))) # label(t71_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2476 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_partfun1(A,B) <-> k1_funct_4(A,B) = k1_funct_4(B,A)))))) # label(t35_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2477 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (r1_xboole_0(C,k1_relat_1(B)) -> k7_relat_1(k1_funct_4(A,B),C) = k7_relat_1(A,C))))))) # label(t76_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2478 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(k4_tarski(A,B),k1_relat_1(k2_funct_4(C))) -> k1_funct_1(k2_funct_4(C),k4_tarski(A,B)) = k1_funct_1(C,k4_tarski(B,A))))) # label(t44_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2479 (all A (v1_relat_1(A) & v1_funct_1(A) -> r1_tarski(k2_funct_4(k2_funct_4(A)),A))) # label(t52_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2480 (all A (v1_relat_1(A) & v1_funct_1(A) -> (exists B exists C r1_tarski(k1_relat_1(k2_funct_4(A)),k2_zfmisc_1(B,C))))) # label(t45_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2481 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(A,B) -> k1_funct_4(B,A) = B & k1_funct_4(A,B) = B))))) # label(t79_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2482 (all A all B all C all D all E (-v1_xboole_0(A) & m1_subset_1(E,A) & m1_subset_1(D,A) -> v1_funct_2(k5_funct_4(A,B,C,D,E),k2_tarski(B,C),A) & m2_relset_1(k5_funct_4(A,B,C,D,E),k2_tarski(B,C),A) & v1_funct_1(k5_funct_4(A,B,C,D,E)))) # label(dt_k5_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2483 (all A -((all B all C -r1_tarski(A,k2_zfmisc_1(B,C))) & (all B -((all C all D B != k4_tarski(C,D)) & r2_hidden(B,A))))) # label(t1_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2484 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k7_relat_1(k1_funct_4(A,B),k4_xboole_0(k1_relat_1(A),k1_relat_1(B))),A))))) # label(t25_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2485 (all A all B k1_tarski(k4_tarski(A,B)) = k2_funcop_1(k1_tarski(A),B)) # label(t70_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2486 (all A all B all C all D (k2_tarski(A,B) = k1_relat_1(k4_funct_4(A,B,C,D)) & r1_tarski(k2_relat_1(k4_funct_4(A,B,C,D)),k2_tarski(C,D)))) # label(t65_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2487 (all A all B all C all D all E (v1_funct_1(E) & v1_relat_1(E) -> (all F (v1_funct_1(F) & v1_relat_1(F) -> (k2_zfmisc_1(C,D) = k1_relat_1(F) & k1_relat_1(E) = k2_zfmisc_1(A,B) -> k1_relat_1(k3_funct_4(E,F)) = k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D))))))) # label(t61_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2488 (all A all B all C all D (m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) -> D = k2_funct_4(k2_funct_4(D)))) # label(t54_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2489 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> k2_funct_4(k2_funct_4(C)) = C))) # label(t53_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2490 (all A all B all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_2(D,k2_zfmisc_1(A,B),C) -> D = k2_funct_4(k2_funct_4(D)))))) # label(t56_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2491 (all A all B all C all D (B != A -> C = k1_funct_1(k4_funct_4(A,B,C,D),A) & D = k1_funct_1(k4_funct_4(A,B,C,D),B))) # label(t66_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2492 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(A,k1_funct_4(B,A)))))) # label(t26_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2493 (all A all B all C all D all E all F (k4_funct_4(A,B,C,D) = k4_funct_4(A,B,E,F) -> A = B | D = F & C = E)) # label(t72_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2494 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k2_funcop_1(A,C),k2_funcop_1(B,C)))) # label(t5_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2495 (all A all B all C all D k1_funct_4(k2_funcop_1(k1_tarski(A),C),k2_funcop_1(k1_tarski(B),D)) = k4_funct_4(A,B,C,D)) # label(d4_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2496 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(C) = k1_relat_1(B) -> k1_funct_4(k1_funct_4(A,B),C) = k1_funct_4(A,C)))))))) # label(t78_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2497 (all A all B (v1_funct_1(B) & m2_relset_1(B,A,A) & v1_funct_2(B,A,A) -> (all C (v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & v1_funct_1(C) -> C = k1_funct_4(B,C))))) # label(t39_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2498 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_xboole_0(k1_relat_1(A),k1_relat_1(B)) -> A = k7_relat_1(k1_funct_4(A,B),k1_relat_1(A))))))) # label(t34_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2499 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(A,k1_relat_1(B)) & r1_xboole_0(k1_relat_1(B),k1_relat_1(C)) -> k1_funct_1(B,A) = k1_funct_1(k1_funct_4(B,C),A)))))) # label(t17_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2500 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_partfun1(A,k1_funct_4(B,C)) -> r1_partfun1(A,C)))))))) # label(t28_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2501 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k1_relat_1(B),k1_relat_1(k1_funct_4(A,B))) & r1_tarski(k1_relat_1(A),k1_relat_1(k1_funct_4(A,B))))))) # label(t11_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2502 (all A all B all C all D all E (v1_funct_1(E) & v1_relat_1(E) -> (k2_tarski(A,B) = k1_relat_1(E) & k1_funct_1(E,B) = D & k1_funct_1(E,A) = C -> E = k4_funct_4(A,B,C,D)))) # label(t69_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2503 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (-r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(k1_funct_4(C,B),A) = k1_funct_1(C,A)))))) # label(t12_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2504 (all A all B all C all D all E (-v1_xboole_0(E) -> (all F (-v1_xboole_0(F) -> (all G (m2_relset_1(G,k2_zfmisc_1(A,B),E) & v1_funct_2(G,k2_zfmisc_1(A,B),E) & v1_funct_1(G) -> (all H (v1_funct_2(H,k2_zfmisc_1(C,D),F) & m2_relset_1(H,k2_zfmisc_1(C,D),F) & v1_funct_1(H) -> v1_funct_1(k3_funct_4(G,H)) & v1_funct_2(k3_funct_4(G,H),k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)),k2_zfmisc_1(E,F)) & m2_relset_1(k3_funct_4(G,H),k2_zfmisc_1(k2_zfmisc_1(A,C),k2_zfmisc_1(B,D)),k2_zfmisc_1(E,F)))))))))) # label(t64_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2505 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (r1_tarski(k1_relat_1(A),k2_xboole_0(B,C)) -> A = k1_funct_4(k7_relat_1(A,B),k7_relat_1(A,C)))))) # label(t74_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2506 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (r1_tarski(k1_relat_1(A),C) & r1_xboole_0(k1_relat_1(B),C) -> k7_relat_1(k1_funct_4(A,B),C) = A)))))) # label(t82_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2507 (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) -> ((B = k1_xboole_0 -> k1_xboole_0 = A) -> D = k1_funct_4(C,D)))))) # label(t38_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2508 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k1_relat_1(B)) & r1_partfun1(B,C) -> k1_funct_1(B,A) = k1_funct_1(k1_funct_4(B,C),A)))))) # label(t16_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2509 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> B = k7_relat_1(k1_funct_4(A,B),k1_relat_1(B)))))) # label(t24_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2510 (all A all B (v1_relat_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funct_1(A) -> v1_relat_1(k1_funct_4(A,B)) & v1_funct_1(k1_funct_4(A,B)))) # label(dt_k1_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2511 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (r1_xboole_0(k1_relat_1(A),C) -> k7_relat_1(k1_funct_4(A,B),C) = k7_relat_1(B,C))))))) # label(t77_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2512 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C k1_funct_4(k7_relat_1(A,B),k7_relat_1(A,C)) = k7_relat_1(A,k2_xboole_0(B,C))))) # label(t83_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2513 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B k1_funct_4(A,k7_relat_1(A,B)) = A))) # label(t80_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2514 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> ((all C all D (r2_hidden(k4_tarski(C,D),k1_relat_1(A)) -> k1_funct_1(B,k4_tarski(D,C)) = k1_funct_1(A,k4_tarski(C,D)))) & (all C (r2_hidden(C,k1_relat_1(B)) <-> (exists D exists E (k4_tarski(E,D) = C & r2_hidden(k4_tarski(D,E),k1_relat_1(A)))))) <-> k2_funct_4(A) = B))))) # label(d2_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2515 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k2_relat_1(k1_funct_4(A,B)),k2_xboole_0(k2_relat_1(A),k2_relat_1(B))))))) # label(t18_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2516 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k2_relat_1(A),k2_relat_1(k1_funct_4(B,A))))))) # label(t19_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2517 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C k1_funct_4(k7_relat_1(A,C),k7_relat_1(B,C)) = k7_relat_1(k1_funct_4(A,B),C)))))) # label(t75_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2518 (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(k1_relat_1(A),k1_relat_1(B)) = k1_relat_1(C) & (all D (r2_hidden(D,k2_xboole_0(k1_relat_1(A),k1_relat_1(B))) -> (-r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(C,D) = k1_funct_1(A,D)) & (r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(B,D) = k1_funct_1(C,D)))) <-> C = k1_funct_4(A,B)))))))) # label(d1_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2519 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_partfun1(A,k1_funct_4(B,C)) -> r1_partfun1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),k1_relat_1(C))),B)))))))) # label(t27_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2520 (all A all B all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) -> v1_funct_2(k2_funct_4(D),k2_zfmisc_1(B,A),C) & m2_relset_1(k2_funct_4(D),k2_zfmisc_1(B,A),C) & v1_funct_1(k2_funct_4(D)))))) # label(t51_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2521 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> r1_tarski(k7_relat_1(k8_relat_1(A,C),B),C))) # label(t9_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2522 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> r1_tarski(k1_relat_1(k2_funct_4(C)),k2_zfmisc_1(B,A))))) # label(t46_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2523 (all A all B all C all D all E (v1_funct_1(E) & v1_relat_1(E) -> (all F (v1_funct_1(F) & v1_relat_1(F) -> (r2_hidden(k4_tarski(A,C),k1_relat_1(E)) & r2_hidden(k4_tarski(B,D),k1_relat_1(F)) <-> r2_hidden(k4_tarski(k4_tarski(A,B),k4_tarski(C,D)),k1_relat_1(k3_funct_4(E,F)))))))) # label(t57_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2524 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> k1_funct_4(C,D) = D)))))) # label(t40_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2525 (all A all B all C (v1_funct_1(C) & m2_relset_1(C,A,B) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) -> (v1_partfun1(D,A,B) -> D = k1_funct_4(C,D)))))) # label(t37_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2526 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_partfun1(A,B) <-> k1_funct_4(A,B) = k2_xboole_0(A,B)))))) # label(t31_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2527 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k1_relat_1(C)) | r2_hidden(A,k1_relat_1(B)) <-> r2_hidden(A,k1_relat_1(k1_funct_4(B,C)))))))) # label(t13_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2528 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C all D (r1_tarski(k1_relat_1(A),C) & r1_tarski(k1_relat_1(B),D) & r1_xboole_0(C,D) -> k7_relat_1(k1_funct_4(A,B),D) = B & A = k7_relat_1(k1_funct_4(A,B),C))))))) # label(t81_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2529 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_xboole_0(k1_relat_1(A),k1_relat_1(B)) -> k2_xboole_0(A,B) = k1_funct_4(A,B)))))) # label(t32_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2530 (all A all B all C all D all E (m1_subset_1(E,A) & m1_subset_1(D,A) & -v1_xboole_0(A) -> k5_funct_4(A,B,C,D,E) = k4_funct_4(B,C,D,E))) # label(redefinition_k5_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2531 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_xboole_0(k1_relat_1(A),k1_relat_1(B)) -> r1_tarski(A,k1_funct_4(A,B))))))) # label(t33_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2532 (all A all B all C all D all E all F all G (v1_funct_1(G) & m2_relset_1(G,k2_zfmisc_1(A,B),C) -> (all H (m2_relset_1(H,k2_zfmisc_1(D,E),F) & v1_funct_1(H) -> v1_funct_1(k3_funct_4(G,H)) & m2_relset_1(k3_funct_4(G,H),k2_zfmisc_1(k2_zfmisc_1(A,D),k2_zfmisc_1(B,E)),k2_zfmisc_1(C,F)))))) # label(t62_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2533 (all A all B all C all D (r1_tarski(k2_funcop_1(A,B),k2_funcop_1(C,D)) -> B = D | k1_xboole_0 = A)) # label(t7_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2534 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(k1_relat_1(A),k1_relat_1(B)) -> B = k1_funct_4(A,B)))))) # label(t20_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2535 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(k4_tarski(B,A),k1_relat_1(k2_funct_4(C))) <-> r2_hidden(k4_tarski(A,B),k1_relat_1(C))))) # label(t43_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2536 (all A all B all C all D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_2(D,k2_zfmisc_1(A,B),C) -> (C != k1_xboole_0 -> k2_funct_4(k2_funct_4(D)) = D))) # label(t55_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2537 (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) -> (r1_tarski(k2_relat_1(D),k1_relat_1(B)) & r1_partfun1(A,B) & r1_tarski(k2_relat_1(C),k1_relat_1(A)) -> k1_funct_4(k5_relat_1(C,A),k5_relat_1(D,B)) = k5_relat_1(k1_funct_4(C,D),k1_funct_4(A,B))))))))))) # label(t73_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2538 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> k5_relat_1(B,A) = k5_relat_1(B,k7_relat_1(A,k2_relat_1(B))))))) # label(t2_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2539 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> k1_funct_4(A,k1_funct_4(B,C)) = k1_funct_4(k1_funct_4(A,B),C))))))) # label(t15_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2540 (all A all B all C all D (r1_tarski(k2_funcop_1(A,B),k2_funcop_1(C,D)) -> r1_tarski(A,C))) # label(t6_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2541 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(B,A) = k1_funct_1(k1_funct_4(C,B),A)))))) # label(t14_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2542 (all A all B all C all D (B != A -> k2_tarski(C,D) = k2_relat_1(k4_funct_4(A,B,C,D)))) # label(t67_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2543 (all A all B k1_funct_4(k6_partfun1(A),k6_partfun1(B)) = k6_partfun1(k2_xboole_0(A,B))) # label(t23_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2544 (all A (v1_funct_1(A) & v1_relat_1(A) -> k1_funct_4(k1_xboole_0,A) = A)) # label(t21_funct_4) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2545 (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]. 25.68/25.12 2546 $T # label(t33_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2547 (all A (v1_funct_1(A) & v5_ordinal1(A) & v1_relat_1(A) -> v3_ordinal1(k8_ordinal2(A)))) # label(dt_k8_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.68/25.12 2548 (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]. 25.68/25.12 2549 (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]. 25.78/25.20 2550 (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]. 25.78/25.20 2551 $T # label(t8_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.20 2552 (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]. 25.78/25.20 2553 (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]. 25.78/25.20 2554 (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]. 25.78/25.20 2555 (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]. 25.78/25.20 2556 $T # label(dt_k3_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.20 2557 (all A all B (v5_ordinal1(B) & v1_ordinal2(B) & v1_funct_1(B) & v1_relat_1(B) & v3_ordinal1(A) -> v3_ordinal1(k13_ordinal2(A,B)))) # label(dt_k13_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.20 2558 (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) -> (r2_hidden(k1_ordinal1(A),f3_s6_ordinal2) -> k1_funct_1(f1_s6_ordinal2,k1_ordinal1(A)) = f5_s6_ordinal2(A,k1_funct_1(f1_s6_ordinal2,A))))) & (all A (v3_ordinal1(A) -> (v4_ordinal1(A) & r2_hidden(A,f3_s6_ordinal2) -> A = k1_xboole_0 | f6_s6_ordinal2(A,k2_ordinal1(f1_s6_ordinal2,A)) = k1_funct_1(f1_s6_ordinal2,A)))) & f3_s6_ordinal2 = k1_relat_1(f1_s6_ordinal2) & (all A (v3_ordinal1(A) -> (all B (f2_s6_ordinal2(A) = B <-> (exists C (v5_ordinal1(C) & f4_s6_ordinal2 = k1_funct_1(C,k1_xboole_0) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_funct_1(C,k1_ordinal1(D)) = f5_s6_ordinal2(D,k1_funct_1(C,D))))) & (all D (v3_ordinal1(D) -> (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))))) & k1_relat_1(C) = k1_ordinal1(A) & k1_ordinal2(C) = B & v1_funct_1(C) & v1_relat_1(C))))))) -> (all A (v3_ordinal1(A) -> (r2_hidden(A,k1_relat_1(f1_s6_ordinal2)) -> k1_funct_1(f1_s6_ordinal2,A) = f2_s6_ordinal2(A)))) # label(s6_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.20 2559 $T # label(t21_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.20 2560 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (C = k14_ordinal2(A,B) <-> (exists D (v1_funct_1(D) & v5_ordinal1(D) & (all E (v3_ordinal1(E) -> (r2_hidden(k1_ordinal1(E),k1_ordinal1(B)) -> k1_ordinal1(k1_funct_1(D,E)) = k1_funct_1(D,k1_ordinal1(E))))) & (all E (v3_ordinal1(E) -> (r2_hidden(E,k1_ordinal1(B)) & v4_ordinal1(E) -> k8_ordinal2(k2_ordinal1(D,E)) = k1_funct_1(D,E) | E = k1_xboole_0))) & k1_funct_1(D,k1_xboole_0) = A & k1_relat_1(D) = k1_ordinal1(B) & C = k1_ordinal2(D) & v1_ordinal2(D) & v1_relat_1(D)))))))))) # label(d18_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.20 2561 (all A v3_ordinal1(k6_ordinal2(A))) # label(dt_k6_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.20 2562 $T # label(t36_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.20 2563 (all A (v1_relat_1(A) & v1_funct_1(A) & v5_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(D,k1_relat_1(A)) -> k1_funct_1(C,D) = k6_ordinal2(k2_relat_1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),D))))))) & k1_relat_1(A) = k1_relat_1(C) & B = k8_ordinal2(C) & v1_relat_1(C))) <-> B = k11_ordinal2(A)))))) # label(d12_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.21 2564 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> ((exists C (v1_relat_1(C) & v5_ordinal1(C) & 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) = f3_s15_ordinal2(D,k2_ordinal1(C,D)) | D = k1_xboole_0))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> f2_s15_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & k1_funct_1(C,k1_xboole_0) = f1_s15_ordinal2 & k1_ordinal2(C) = B & v1_ordinal2(C) & v1_funct_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]. 25.78/25.21 2565 $T # label(t42_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.21 2566 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_ordinal2(A) & v5_ordinal1(A) -> ((exists B (r1_ordinal2(B,A) & v3_ordinal1(B))) -> (all B (v3_ordinal1(B) -> (r1_ordinal2(B,A) <-> B = k12_ordinal2(A))))))) # label(d14_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.21 2567 (all A (v3_ordinal1(A) -> (all B ((exists C (v1_relat_1(C) & v5_ordinal1(C) & k1_ordinal2(C) = B & f1_s9_ordinal2 = k1_funct_1(C,k1_xboole_0) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_funct_1(C,k1_ordinal1(D)) = f2_s9_ordinal2(D,k1_funct_1(C,D))))) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> k1_xboole_0 = D | f3_s9_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D)))) & k1_ordinal1(A) = k1_relat_1(C) & v1_funct_1(C))) <-> B = f4_s9_ordinal2(A))))) -> (all A (v3_ordinal1(A) -> f2_s9_ordinal2(A,f4_s9_ordinal2(A)) = f4_s9_ordinal2(k1_ordinal1(A)))) # label(s9_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.21 2568 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (v4_ordinal1(A) -> A = k1_xboole_0 | (all C (v5_ordinal1(C) & v1_ordinal2(C) & v1_funct_1(C) & v1_relat_1(C) -> ((all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> k16_ordinal2(B,D) = k1_funct_1(C,D)))) & k1_relat_1(C) = A -> k16_ordinal2(B,A) = k12_ordinal2(C))))))))) # label(t62_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.21 2569 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> ((exists D (v1_ordinal2(D) & k1_relat_1(D) = k1_ordinal1(A) & (all E (v3_ordinal1(E) -> (r2_hidden(E,k1_ordinal1(A)) & v4_ordinal1(E) -> k3_tarski(k8_ordinal2(k2_ordinal1(D,E))) = k1_funct_1(D,E) | E = k1_xboole_0))) & (all E (v3_ordinal1(E) -> (r2_hidden(k1_ordinal1(E),k1_ordinal1(A)) -> k14_ordinal2(k1_funct_1(D,E),B) = k1_funct_1(D,k1_ordinal1(E))))) & k1_xboole_0 = k1_funct_1(D,k1_xboole_0) & k1_ordinal2(D) = C & v5_ordinal1(D) & v1_funct_1(D) & v1_relat_1(D))) <-> C = k15_ordinal2(A,B)))))))) # label(d19_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.21 2570 (all A (v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) -> k6_ordinal2(k2_relat_1(A)) = k9_ordinal2(A) & k8_ordinal2(A) = k7_ordinal2(k2_relat_1(A)))) # label(t35_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.21 2571 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> k16_ordinal2(A,k1_ordinal1(B)) = k15_ordinal2(A,k16_ordinal2(A,B)))))) # label(t61_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.21 2572 (all A (v3_ordinal1(A) -> r1_ordinal1(k3_tarski(A),A))) # label(t5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.21 2573 (all A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) -> (all B (v3_ordinal1(B) -> ((exists C (B = k9_ordinal2(C) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_relat_1(A)) -> k7_ordinal2(k2_relat_1(k7_relat_1(A,k4_xboole_0(k1_relat_1(A),D)))) = k1_funct_1(C,D)))) & k1_relat_1(C) = k1_relat_1(A) & v1_ordinal2(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C))) <-> B = k10_ordinal2(A)))))) # label(d11_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.21 2574 (all A (v3_ordinal1(A) -> r1_tarski(k1_ordinal1(A),k1_zfmisc_1(A)))) # label(t3_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.78/25.21 2575 $T # label(dt_k1_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.81/25.22 2576 (all A (v3_ordinal1(A) -> k14_ordinal2(A,k1_xboole_0) = A)) # label(t44_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.81/25.22 2577 $T # label(t20_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.81/25.22 2578 (all A (v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) -> v3_ordinal1(k11_ordinal2(A)))) # label(dt_k11_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.81/25.22 2579 (all A (v3_ordinal1(A) -> A = k7_ordinal2(A))) # label(t26_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.81/25.22 2580 (all A all B (v3_ordinal1(B) -> (B = k7_ordinal2(A) <-> r1_tarski(k2_ordinal2(A),B) & (all C (v3_ordinal1(C) -> (r1_tarski(k2_ordinal2(A),C) -> r1_ordinal1(B,C))))))) # label(d7_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.81/25.22 2581 (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]. 25.81/25.22 2582 (all A (v3_ordinal1(A) -> k2_ordinal2(A) = A)) # label(t10_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.81/25.22 2583 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v1_ordinal2(B) & v5_ordinal1(B) & v1_funct_1(B) -> (A != k1_xboole_0 -> (r1_ordinal2(A,B) <-> (all C (v3_ordinal1(C) -> (all D (v3_ordinal1(D) -> -(r2_hidden(A,D) & (all E (v3_ordinal1(E) -> -((all F (v3_ordinal1(F) -> (r2_hidden(F,k1_relat_1(B)) & r1_ordinal1(E,F) -> r2_hidden(k1_funct_1(B,F),D) & r2_hidden(C,k1_funct_1(B,F))))) & r2_hidden(E,k1_relat_1(B))))) & r2_hidden(C,A)))))))) & (k1_xboole_0 = A -> ((exists C (r2_hidden(C,k1_relat_1(B)) & (all D (v3_ordinal1(D) -> (r1_ordinal1(C,D) & r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(B,D) = k1_xboole_0))) & v3_ordinal1(C))) <-> r1_ordinal2(A,B))))))) # label(d13_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.81/25.22 2584 (all A all B -((exists C (B = k1_ordinal2(C) & k1_ordinal1(f1_s7_ordinal2) = k1_relat_1(C) & k1_funct_1(C,k1_xboole_0) = f2_s7_ordinal2 & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s7_ordinal2)) -> k1_funct_1(C,k1_ordinal1(D)) = f3_s7_ordinal2(D,k1_funct_1(C,D))))) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(f1_s7_ordinal2)) & v4_ordinal1(D) -> D = k1_xboole_0 | f4_s7_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D)))) & v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C))) & B != A & (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_xboole_0 = D | f4_s7_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,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) & A = k1_ordinal2(C) & v5_ordinal1(C) & v1_funct_1(C))))) # label(s7_ordinal2_AndLHS) # label(axiom) # label(non_clause). [assumption]. 25.81/25.22 2585 (exists A exists B (v1_relat_1(B) & v1_funct_1(B) & f2_s7_ordinal2 = k1_funct_1(B,k1_xboole_0) & (all C (v3_ordinal1(C) -> (v4_ordinal1(C) & r2_hidden(C,k1_ordinal1(f1_s7_ordinal2)) -> k1_xboole_0 = C | k1_funct_1(B,C) = f4_s7_ordinal2(C,k2_ordinal1(B,C))))) & (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))))) & k1_ordinal1(f1_s7_ordinal2) = k1_relat_1(B) & A = k1_ordinal2(B) & v5_ordinal1(B))) # label(s7_ordinal2_AndRHS) # label(axiom) # label(non_clause). [assumption]. 25.81/25.22 2586 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> ((exists C (v1_funct_1(C) & B = k1_ordinal2(C) & k1_ordinal1(A) = k1_relat_1(C) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> f5_s16_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) -> k1_xboole_0 = D | f6_s16_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D)))) & f4_s16_ordinal2 = k1_funct_1(C,k1_xboole_0) & v1_ordinal2(C) & v5_ordinal1(C) & v1_relat_1(C))) <-> B = f3_s16_ordinal2(A)))))) & f2_s16_ordinal2 = k1_relat_1(f1_s16_ordinal2) & (all A (v3_ordinal1(A) -> (r2_hidden(A,f2_s16_ordinal2) -> k1_funct_1(f1_s16_ordinal2,A) = f3_s16_ordinal2(A)))) & v4_ordinal1(f2_s16_ordinal2) & 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]. 25.90/25.36 2587 (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]. 25.90/25.36 2588 (exists A (v1_funct_1(A) & (all B (v3_ordinal1(B) -> (r2_hidden(B,f1_s3_ordinal2) -> f2_s3_ordinal2(B) = k1_funct_1(A,B)))) & k1_relat_1(A) = f1_s3_ordinal2 & v1_ordinal2(A) & v5_ordinal1(A) & v1_relat_1(A))) # label(s3_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.36 2589 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (B = f2_s12_ordinal2(A) <-> (exists C (v1_relat_1(C) & v5_ordinal1(C) & k1_ordinal2(C) = B & k1_ordinal1(A) = k1_relat_1(C) & k1_funct_1(C,k1_xboole_0) = f4_s12_ordinal2 & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> k1_funct_1(C,D) = f6_s12_ordinal2(D,k2_ordinal1(C,D)) | k1_xboole_0 = D))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_funct_1(C,k1_ordinal1(D)) = f5_s12_ordinal2(D,k1_funct_1(C,D))))) & v1_ordinal2(C) & v1_funct_1(C)))))))) & f3_s12_ordinal2 = k1_relat_1(f1_s12_ordinal2) & (r2_hidden(k1_xboole_0,f3_s12_ordinal2) -> f4_s12_ordinal2 = k1_funct_1(f1_s12_ordinal2,k1_xboole_0)) & (all A (v3_ordinal1(A) -> (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))))) & (all A (v3_ordinal1(A) -> (r2_hidden(k1_ordinal1(A),f3_s12_ordinal2) -> k1_funct_1(f1_s12_ordinal2,k1_ordinal1(A)) = f5_s12_ordinal2(A,k1_funct_1(f1_s12_ordinal2,A))))) -> (all A (v3_ordinal1(A) -> (r2_hidden(A,k1_relat_1(f1_s12_ordinal2)) -> k1_funct_1(f1_s12_ordinal2,A) = f2_s12_ordinal2(A)))) # label(s12_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.36 2590 (all A (v3_ordinal1(A) -> k15_ordinal2(A,k1_xboole_0) = k1_xboole_0)) # label(t55_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.36 2591 (all A (v3_ordinal1(A) -> A = k14_ordinal2(k1_xboole_0,A))) # label(t47_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.36 2592 (all A (v3_ordinal1(A) -> k7_ordinal2(k1_tarski(A)) = k1_ordinal1(A))) # label(t31_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.36 2593 $T # label(t6_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.36 2594 $T # label(t43_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.36 2595 $T # label(dt_k5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.36 2596 (all A (v3_ordinal1(A) -> (all B (B = f3_s10_ordinal2(A) <-> (exists C (v1_relat_1(C) & v1_funct_1(C) & B = k1_ordinal2(C) & k1_relat_1(C) = k1_ordinal1(A) & k1_funct_1(C,k1_xboole_0) = f4_s10_ordinal2 & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_funct_1(C,k1_ordinal1(D)) = f5_s10_ordinal2(D,k1_funct_1(C,D))))) & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> k1_xboole_0 = D | k1_funct_1(C,D) = f6_s10_ordinal2(D,k2_ordinal1(C,D))))) & v5_ordinal1(C))))))) & f2_s10_ordinal2 != k1_xboole_0 & f2_s10_ordinal2 = k1_relat_1(f1_s10_ordinal2) & (all A (v3_ordinal1(A) -> (r2_hidden(A,f2_s10_ordinal2) -> f3_s10_ordinal2(A) = k1_funct_1(f1_s10_ordinal2,A)))) & v4_ordinal1(f2_s10_ordinal2) -> f6_s10_ordinal2(f2_s10_ordinal2,f1_s10_ordinal2) = f3_s10_ordinal2(f2_s10_ordinal2) # label(s10_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.36 2597 $T # label(t37_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.36 2598 (exists A (v1_funct_1(A) & v5_ordinal1(A) & k1_relat_1(A) = f1_s11_ordinal2 & (all B (v3_ordinal1(B) -> (r2_hidden(k1_ordinal1(B),f1_s11_ordinal2) -> f3_s11_ordinal2(B,k1_funct_1(A,B)) = k1_funct_1(A,k1_ordinal1(B))))) & (all B (v3_ordinal1(B) -> (r2_hidden(B,f1_s11_ordinal2) & v4_ordinal1(B) -> B = k1_xboole_0 | f4_s11_ordinal2(B,k2_ordinal1(A,B)) = k1_funct_1(A,B)))) & (r2_hidden(k1_xboole_0,f1_s11_ordinal2) -> f2_s11_ordinal2 = k1_funct_1(A,k1_xboole_0)) & v1_ordinal2(A) & v1_relat_1(A))) # label(s11_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.37 2599 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (v4_ordinal1(A) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & v1_ordinal2(C) -> (A = k1_relat_1(C) & (all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> k1_funct_1(C,D) = k14_ordinal2(B,D)))) -> k8_ordinal2(C) = k14_ordinal2(B,A)))) | k1_xboole_0 = A))))) # label(t46_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.37 2600 (all A all B (v1_funct_1(A) & v1_ordinal2(A) & v3_ordinal1(B) & v5_ordinal1(A) & v1_relat_1(A) -> v1_ordinal1(k1_funct_1(A,B)) & v2_ordinal1(k1_funct_1(A,B)) & v3_ordinal1(k1_funct_1(A,B)))) # label(fc3_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.37 2601 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r2_hidden(B,C) -> A = k1_xboole_0 | r2_hidden(k15_ordinal2(B,A),k15_ordinal2(C,A))))))))) # label(t57_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.37 2602 (all A (A = k5_ordinal2 <-> r2_hidden(k1_xboole_0,A) & (all B (v3_ordinal1(B) -> (v4_ordinal1(B) & r2_hidden(k1_xboole_0,B) -> r1_tarski(A,B)))) & v3_ordinal1(A) & v4_ordinal1(A))) # label(d5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.37 2603 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (C = k16_ordinal2(A,B) <-> (exists D (v1_relat_1(D) & v5_ordinal1(D) & v1_ordinal2(D) & k1_relat_1(D) = k1_ordinal1(B) & k4_ordinal2 = k1_funct_1(D,k1_xboole_0) & (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) -> (v4_ordinal1(E) & r2_hidden(E,k1_ordinal1(B)) -> k1_funct_1(D,E) = k12_ordinal2(k2_ordinal1(D,E)) | k1_xboole_0 = E))) & C = k1_ordinal2(D) & v1_funct_1(D)))))))))) # label(d20_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.37 2604 (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]. 25.90/25.37 2605 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_ordinal2(A) & v5_ordinal1(A) -> ((all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r2_hidden(B,C) & r2_hidden(C,k1_relat_1(A)) -> r2_hidden(k1_funct_1(A,B),k1_funct_1(A,C))))))) <-> v2_ordinal2(A)))) # label(d16_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.37 2606 (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]. 25.90/25.37 2607 (all A all B (v3_ordinal1(A) & v3_ordinal1(B) -> v3_ordinal1(k15_ordinal2(A,B)))) # label(dt_k15_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.37 2608 (all A (v3_ordinal1(A) -> k4_ordinal2 = k16_ordinal2(A,k1_xboole_0))) # label(t60_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.37 2609 (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]. 25.90/25.37 2610 (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]. 25.90/25.37 2611 (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]. 25.90/25.37 2612 (all A r1_tarski(k2_ordinal2(A),A)) # label(t9_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.37 2613 (all A (v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) -> k6_ordinal2(k2_relat_1(A)) = k9_ordinal2(A))) # label(d10_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.37 2614 $T # label(t39_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.37 2615 $T # label(t41_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.90/25.37 2616 (all A (v3_ordinal1(A) -> (v4_ordinal1(A) & (all B (v3_ordinal1(B) -> (r2_hidden(B,A) -> p1_s1_ordinal2(B)))) -> A = k1_xboole_0 | p1_s1_ordinal2(A)))) & (all A (v3_ordinal1(A) -> (p1_s1_ordinal2(A) -> p1_s1_ordinal2(k1_ordinal1(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]. 25.97/25.39 2617 (all A (v3_ordinal1(A) -> (v4_ordinal1(A) & r2_hidden(k1_xboole_0,A) -> r1_ordinal1(k5_ordinal2,A)))) # label(t19_ordinal2_AndRHS_AndLHS) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2618 (all A all B ((all C ((exists D (v4_ordinal1(D) & C = D & v3_ordinal1(D))) & r2_hidden(C,A) <-> r2_hidden(C,B))) <-> B = k3_ordinal2(A))) # label(d3_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2619 (all A (v3_ordinal1(A) -> k15_ordinal2(k4_ordinal2,A) = A & A = k15_ordinal2(A,k4_ordinal2))) # label(t56_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2620 (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]. 25.97/25.39 2621 (all A r1_tarski(k3_ordinal2(A),A)) # label(t13_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2622 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B) -> (k1_ordinal1(A) = k1_relat_1(B) -> k1_ordinal2(B) = k1_funct_1(B,A)))))) # label(t7_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2623 (all A (v3_ordinal1(A) -> k14_ordinal2(A,k4_ordinal2) = k1_ordinal1(A))) # label(t48_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2624 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> -((exists C (v1_ordinal2(C) & k1_ordinal2(C) = B & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s13_ordinal2)) -> k1_funct_1(C,k1_ordinal1(D)) = f3_s13_ordinal2(D,k1_funct_1(C,D))))) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(f1_s13_ordinal2)) & v4_ordinal1(D) -> k1_xboole_0 = D | k1_funct_1(C,D) = f4_s13_ordinal2(D,k2_ordinal1(C,D))))) & k1_funct_1(C,k1_xboole_0) = f2_s13_ordinal2 & k1_ordinal1(f1_s13_ordinal2) = k1_relat_1(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C))) & A != B & (exists C (v5_ordinal1(C) & v1_ordinal2(C) & k1_ordinal2(C) = A & k1_relat_1(C) = k1_ordinal1(f1_s13_ordinal2) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(f1_s13_ordinal2)) & v4_ordinal1(D) -> f4_s13_ordinal2(D,k2_ordinal1(C,D)) = k1_funct_1(C,D) | D = k1_xboole_0))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(f1_s13_ordinal2)) -> f3_s13_ordinal2(D,k1_funct_1(C,D)) = k1_funct_1(C,k1_ordinal1(D))))) & f2_s13_ordinal2 = k1_funct_1(C,k1_xboole_0) & v1_funct_1(C) & v1_relat_1(C)))))))) # label(s13_ordinal2_AndLHS) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2625 (exists A ((exists B (v1_relat_1(B) & v1_ordinal2(B) & A = k1_ordinal2(B) & k1_funct_1(B,k1_xboole_0) = f2_s13_ordinal2 & (all C (v3_ordinal1(C) -> (v4_ordinal1(C) & r2_hidden(C,k1_ordinal1(f1_s13_ordinal2)) -> C = k1_xboole_0 | f4_s13_ordinal2(C,k2_ordinal1(B,C)) = k1_funct_1(B,C)))) & (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))))) & k1_ordinal1(f1_s13_ordinal2) = k1_relat_1(B) & v5_ordinal1(B) & v1_funct_1(B))) & v3_ordinal1(A))) # label(s13_ordinal2_AndRHS) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2626 (all A (v3_ordinal1(A) -> (exists B (v3_ordinal1(B) & v4_ordinal1(B) & r2_hidden(A,B))))) # label(t16_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2627 (all A (v5_ordinal1(A) & v1_funct_1(A) & v1_relat_1(A) -> k7_ordinal2(k2_relat_1(A)) = k8_ordinal2(A))) # label(d9_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2628 (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]. 25.97/25.39 2629 (all A (v3_ordinal1(A) -> (all B -((all C (v3_ordinal1(C) -> -(r1_ordinal1(A,C) & r2_hidden(C,B)))) & r2_hidden(A,k7_ordinal2(B)))))) # label(t29_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2630 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v1_ordinal2(B) & v5_ordinal1(B) & v1_funct_1(B) -> k13_ordinal2(A,B) = k12_ordinal2(k2_ordinal1(B,A)))))) # label(d15_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2631 $T # label(t38_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2632 (all A k1_setfam_1(k2_ordinal2(A)) = k6_ordinal2(A)) # label(d6_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2633 (all A (r2_hidden(A,k5_ordinal2) <-> v4_ordinal2(A))) # label(d21_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2634 (all A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & v1_ordinal2(A) -> (v3_ordinal2(A) <-> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (v4_ordinal1(B) & C = k1_funct_1(A,B) & r2_hidden(B,k1_relat_1(A)) -> r1_ordinal2(C,k2_ordinal1(A,B)) | k1_xboole_0 = B)))))))) # label(d17_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2635 (exists A (v1_relat_1(A) & v1_funct_1(A) & f1_s5_ordinal2 = k1_relat_1(A) & (all B (v3_ordinal1(B) -> (r2_hidden(k1_ordinal1(B),f1_s5_ordinal2) -> k1_funct_1(A,k1_ordinal1(B)) = f3_s5_ordinal2(B,k1_funct_1(A,B))))) & (all B (v3_ordinal1(B) -> (r2_hidden(B,f1_s5_ordinal2) & v4_ordinal1(B) -> B = k1_xboole_0 | f4_s5_ordinal2(B,k2_ordinal1(A,B)) = k1_funct_1(A,B)))) & (r2_hidden(k1_xboole_0,f1_s5_ordinal2) -> k1_funct_1(A,k1_xboole_0) = f2_s5_ordinal2) & v5_ordinal1(A))) # label(s5_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2636 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> ((exists C (v1_relat_1(C) & v1_ordinal2(C) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> D = k1_xboole_0 | k1_funct_1(C,D) = f4_s14_ordinal2(D,k2_ordinal1(C,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))))) & f2_s14_ordinal2 = k1_funct_1(C,k1_xboole_0) & k1_relat_1(C) = k1_ordinal1(A) & k1_ordinal2(C) = B & v5_ordinal1(C) & v1_funct_1(C))) <-> f1_s14_ordinal2(A) = B))))) -> f2_s14_ordinal2 = f1_s14_ordinal2(k1_xboole_0) # label(s14_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2637 (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]. 25.97/25.39 2638 (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]. 25.97/25.39 2639 (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]. 25.97/25.39 2640 (all A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) -> v3_ordinal1(k9_ordinal2(A)))) # label(dt_k9_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2641 (all A (v3_ordinal1(A) -> (all B (v1_ordinal2(B) & v5_ordinal1(B) & v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(B)) -> v3_ordinal1(k1_funct_1(B,A))))))) # label(t34_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2642 (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]. 25.97/25.39 2643 (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]. 25.97/25.39 2644 (all A (v3_ordinal1(A) -> (exists B (v3_ordinal1(B) & (exists C (v3_ordinal1(C) & v4_ordinal1(B) & A = k14_ordinal2(B,C) & v4_ordinal2(C))))))) # label(t65_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.39 2645 (all A (v3_ordinal1(A) -> (all B ((exists C (v1_relat_1(C) & v1_funct_1(C) & v5_ordinal1(C) & k1_ordinal1(A) = k1_relat_1(C) & f2_s8_ordinal2 = k1_funct_1(C,k1_xboole_0) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> D = k1_xboole_0 | 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)) -> k1_funct_1(C,k1_ordinal1(D)) = f3_s8_ordinal2(D,k1_funct_1(C,D))))) & B = k1_ordinal2(C))) <-> B = f1_s8_ordinal2(A))))) -> f2_s8_ordinal2 = f1_s8_ordinal2(k1_xboole_0) # label(s8_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2646 (all A v3_ordinal1(k7_ordinal2(A))) # label(dt_k7_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2647 (all A (v1_relat_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v1_funct_1(A) -> v3_ordinal1(k12_ordinal2(A)))) # label(dt_k12_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2648 (all A r1_ordinal1(k6_ordinal2(A),k7_ordinal2(A))) # label(t32_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2649 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> k14_ordinal2(A,k1_ordinal1(B)) = k1_ordinal1(k14_ordinal2(A,B)))))) # label(t45_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2650 (all A (v3_ordinal1(A) -> k3_tarski(k1_ordinal1(A)) = A)) # label(t2_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2651 (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]. 25.97/25.43 2652 $T # label(dt_k2_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2653 (all A (v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) -> k1_funct_1(A,k3_tarski(k1_relat_1(A))) = k1_ordinal2(A))) # label(d1_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2654 $T # label(t18_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2655 (all A (v3_ordinal1(A) -> k15_ordinal2(k1_xboole_0,A) = k1_xboole_0)) # label(t52_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2656 $T # label(t40_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2657 $T # label(t64_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2658 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (v4_ordinal1(A) -> (all C (v1_relat_1(C) & v5_ordinal1(C) & v1_ordinal2(C) & v1_funct_1(C) -> (k1_relat_1(C) = A & (all D (v3_ordinal1(D) -> (r2_hidden(D,A) -> k15_ordinal2(D,B) = k1_funct_1(C,D)))) -> k15_ordinal2(A,B) = k3_tarski(k8_ordinal2(C))))) | k1_xboole_0 = A))))) # label(t54_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2659 (all A (v3_ordinal1(A) -> (all B (m1_ordinal1(B,A) -> v1_ordinal2(B))))) # label(cc1_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2660 (exists A (v1_relat_1(A) & v1_funct_1(A) & v5_ordinal1(A) & k1_relat_1(A) = f1_s2_ordinal2 & (all B (v3_ordinal1(B) -> (r2_hidden(B,f1_s2_ordinal2) -> f2_s2_ordinal2(B) = k1_funct_1(A,B)))))) # label(s2_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2661 (exists A (v1_ordinal1(A) & v4_ordinal1(A) & v3_ordinal1(A) & v2_ordinal1(A))) # label(rc1_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2662 (all A r1_tarski(k3_ordinal2(A),k2_ordinal2(A))) # label(t15_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2663 (all A (v3_ordinal1(A) -> (all B ((all C (v3_ordinal1(C) -> (r2_hidden(C,B) -> r1_ordinal1(A,C)))) -> r1_ordinal1(A,k6_ordinal2(B)) | k2_ordinal2(B) = k1_xboole_0)))) # label(t23_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2664 $T # label(t12_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2665 (all A all B (v1_relat_1(A) & v5_ordinal1(A) & v1_ordinal2(A) & v3_ordinal1(B) & v1_funct_1(A) -> v1_funct_1(k7_relat_1(A,B)) & v1_ordinal2(k7_relat_1(A,B)) & v1_relat_1(k7_relat_1(A,B)))) # label(fc2_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2666 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(k1_ordinal1(A),f1_s4_ordinal2) -> f3_s4_ordinal2(A,k1_funct_1(f5_s4_ordinal2,A)) = k1_funct_1(f5_s4_ordinal2,k1_ordinal1(A))))) & (all A (v3_ordinal1(A) -> (r2_hidden(A,f1_s4_ordinal2) & v4_ordinal1(A) -> k1_funct_1(f5_s4_ordinal2,A) = f4_s4_ordinal2(A,k2_ordinal1(f5_s4_ordinal2,A)) | A = k1_xboole_0))) & (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))))) & (all A (v3_ordinal1(A) -> (r2_hidden(A,f1_s4_ordinal2) & v4_ordinal1(A) -> k1_funct_1(f6_s4_ordinal2,A) = f4_s4_ordinal2(A,k2_ordinal1(f6_s4_ordinal2,A)) | A = k1_xboole_0))) & (r2_hidden(k1_xboole_0,f1_s4_ordinal2) -> f2_s4_ordinal2 = k1_funct_1(f6_s4_ordinal2,k1_xboole_0)) & f1_s4_ordinal2 = k1_relat_1(f6_s4_ordinal2) -> f5_s4_ordinal2 = f6_s4_ordinal2 # label(s4_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2667 (all A (v3_ordinal1(A) -> (all B all C (r2_hidden(A,B) & r1_tarski(B,C) -> r1_ordinal1(k6_ordinal2(C),k6_ordinal2(B)))))) # label(t24_ordinal2) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2668 $T # label(t10_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2669 (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]. 25.97/25.43 2670 (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]. 25.97/25.43 2671 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (v1_finset_1(A) -> v1_finset_1(k9_relat_1(B,A))))) # label(t17_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2672 (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]. 25.97/25.43 2673 $T # label(t3_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2674 (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]. 25.97/25.43 2675 (all A all B (v1_finset_1(A) & v1_finset_1(B) -> v1_finset_1(k2_xboole_0(A,B)))) # label(t14_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2676 (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]. 25.97/25.43 2677 (all A all B all C (v1_finset_1(C) & v1_finset_1(B) & v1_finset_1(A) -> v1_finset_1(k3_zfmisc_1(A,B,C)))) # label(t20_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2678 (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]. 25.97/25.43 2679 (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 (r1_tarski(C,D) & r2_hidden(D,B) -> D = C)) & r2_hidden(C,B)))))))) # label(t18_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2680 (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]. 25.97/25.43 2681 (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]. 25.97/25.43 2682 (all A -(v6_ordinal1(A) & (all B -(r2_hidden(B,A) & (all C (r2_hidden(C,A) -> r1_tarski(B,C))))) & k1_xboole_0 != A & v1_finset_1(A))) # label(t30_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2683 (all A (v1_finset_1(A) <-> v1_finset_1(k1_zfmisc_1(A)))) # label(t24_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2684 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v1_finset_1(k1_relat_1(A)) -> v1_finset_1(k2_relat_1(A))))) # label(t26_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2685 (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]. 25.97/25.43 2686 (all A all B (v1_finset_1(k2_zfmisc_1(A,B)) -> v1_finset_1(B) | A = k1_xboole_0)) # label(t23_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2687 (all A all B (r2_hidden(A,f1_s2_finset_1) & p1_s2_finset_1(B) & r1_tarski(B,f1_s2_finset_1) -> p1_s2_finset_1(k2_xboole_0(B,k1_tarski(A))))) & p1_s2_finset_1(k1_xboole_0) & v1_finset_1(f1_s2_finset_1) -> p1_s2_finset_1(f1_s2_finset_1) # label(s2_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2688 (all A (v1_xboole_0(A) -> v1_finset_1(A))) # label(cc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2689 (all A all B (v1_finset_1(A) & v1_finset_1(B) -> v1_finset_1(k2_zfmisc_1(A,B)))) # label(t19_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2690 $T # label(t8_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2691 (all A ((all B (r2_hidden(B,A) -> v1_finset_1(B))) & v1_finset_1(A) <-> v1_finset_1(k3_tarski(A)))) # label(t25_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2692 (all A all B (v1_finset_1(B) & v1_finset_1(A) -> v1_finset_1(k2_zfmisc_1(A,B)))) # label(fc14_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2693 (all A (v1_finset_1(A) <-> (exists B (v1_relat_1(B) & v1_funct_1(B) & k2_relat_1(B) = A & r2_hidden(k1_relat_1(B),k5_ordinal2))))) # label(d1_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2694 (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]. 25.97/25.43 2695 (all A all B (v1_finset_1(A) & v1_finset_1(B) -> v1_finset_1(k2_xboole_0(A,B)))) # label(fc9_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2696 $T # label(t9_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2697 $T # label(t4_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2698 (all A -(A != k1_xboole_0 & (all B -((all C (r2_hidden(C,A) -> r1_tarski(C,B))) & r2_hidden(B,A))) & v6_ordinal1(A) & v1_finset_1(A))) # label(t31_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2699 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) & v1_finset_1(B))))) # label(rc3_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2700 (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]. 25.97/25.43 2701 (all A (v1_finset_1(k1_tarski(A)) & -v1_xboole_0(k1_tarski(A)))) # label(fc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2702 (all A all B all C (v1_finset_1(A) & v1_finset_1(B) & v1_finset_1(C) -> v1_finset_1(k3_zfmisc_1(A,B,C)))) # label(fc15_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2703 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) & v1_finset_1(B))))) # label(rc4_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2704 $T # label(t12_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2705 (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(fc16_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2706 (all A all B (v1_relat_1(A) & v1_finset_1(B) & v1_funct_1(A) -> v1_finset_1(k9_relat_1(A,B)))) # label(fc13_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2707 (all A all B all C all D (v1_finset_1(D) & v1_finset_1(C) & v1_finset_1(B) & v1_finset_1(A) -> v1_finset_1(k4_zfmisc_1(A,B,C,D)))) # label(t21_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2708 (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]. 25.97/25.43 2709 (exists A (v1_finset_1(A) & -v1_xboole_0(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2710 (all A all B (v1_finset_1(A) & v1_finset_1(B) -> v1_finset_1(k5_xboole_0(A,B)))) # label(t28_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2711 $T # label(t2_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2712 (exists A (v1_funct_1(A) & f1_s1_finset_1 = k1_relat_1(A) & (all B (v3_ordinal1(B) -> (r2_hidden(B,f1_s1_finset_1) -> (-p1_s1_finset_1(B) -> k1_funct_1(A,B) = f3_s1_finset_1(B)) & (p1_s1_finset_1(B) -> f2_s1_finset_1(B) = k1_funct_1(A,B))))) & v1_relat_1(A))) # label(s1_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2713 $T # label(t5_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2714 (all A all B (v1_finset_1(k2_zfmisc_1(B,A)) -> v1_finset_1(B) | A = k1_xboole_0)) # label(t22_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2715 (all A all B (r1_tarski(A,B) & v1_finset_1(B) -> v1_finset_1(A))) # label(t13_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2716 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v1_finset_1(k1_relat_1(A)) <-> v1_finset_1(A)))) # label(t29_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2717 (all A all B all C v1_finset_1(k1_enumset1(A,B,C))) # label(fc3_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2718 (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]. 25.97/25.43 2719 $T # label(t1_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2720 (all A exists B (v1_funct_1(B) & v2_funct_1(B) & v1_ordinal1(B) & v4_ordinal2(B) & v1_finset_1(B) & v3_ordinal1(B) & v2_ordinal1(B) & v1_relat_1(B) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)))) # label(rc2_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2721 $T # label(t6_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2722 $T # label(t7_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2723 $T # label(t11_finset_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2724 (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]. 25.97/25.43 2725 (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]. 25.97/25.43 2726 $T # label(t12_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2727 (all A all B (v4_finsub_1(B) -> (B = k5_finsub_1(A) <-> (all C (v1_finset_1(C) & r1_tarski(C,A) <-> r2_hidden(C,B)))))) # label(d5_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2728 $T # label(t5_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2729 (all A all B k5_finsub_1(k3_xboole_0(A,B)) = k3_xboole_0(k5_finsub_1(A),k5_finsub_1(B))) # label(t24_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2730 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v4_finsub_1(A) -> k4_finsub_1(A,B,C) = k5_xboole_0(B,C))) # label(redefinition_k4_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2731 (all A v4_finsub_1(k5_finsub_1(A))) # label(dt_k5_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2732 $T # label(t29_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2733 (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]. 25.97/25.43 2734 (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]. 25.97/25.43 2735 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & v4_finsub_1(A) -> k4_finsub_1(A,B,C) = k4_finsub_1(A,C,B))) # label(commutativity_k4_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2736 (all A (-v1_xboole_0(A) & v4_finsub_1(A) -> (all B (v4_finsub_1(B) & -v1_xboole_0(B) -> -v1_xboole_0(k3_xboole_0(A,B)) & v4_finsub_1(k3_xboole_0(A,B)))))) # label(t21_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2737 (all A all B all C (v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> m1_subset_1(k3_finsub_1(A,B,C),A))) # label(dt_k3_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2738 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (v1_finset_1(A) -> m1_subset_1(B,k5_finsub_1(A))))) # label(t34_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2739 (all A (v3_finsub_1(A) <-> (all B all C (r2_hidden(B,A) & r2_hidden(C,A) -> r2_hidden(k4_xboole_0(B,C),A))))) # label(d3_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2740 $T # label(t7_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2741 (all A (v1_finsub_1(A) & v3_finsub_1(A) <-> v4_finsub_1(A))) # label(d4_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2742 (all A (v4_finsub_1(A) & -v1_xboole_0(A) -> r2_hidden(k1_xboole_0,A))) # label(t18_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2743 $T # label(t19_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2744 (all A all B all C (v4_finsub_1(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k2_finsub_1(A,B,C) = k4_xboole_0(B,C))) # label(redefinition_k2_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2745 (all A (v3_finsub_1(A) & v1_finsub_1(A) -> v4_finsub_1(A))) # label(cc2_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2746 (all A all B all C (v4_finsub_1(C) & -v1_xboole_0(C) -> (m1_subset_1(A,C) & m1_subset_1(B,C) -> m1_subset_1(k3_xboole_0(A,B),C)))) # label(t13_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2747 $T # label(t31_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2748 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v4_finsub_1(A) & -v1_xboole_0(A) -> k3_finsub_1(A,B,B) = B)) # label(idempotence_k3_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2749 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v4_finsub_1(A) & -v1_xboole_0(A) -> m1_subset_1(k4_finsub_1(A,B,C),A))) # label(dt_k4_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2750 $T # label(t11_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2751 $T # label(t4_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2752 (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(k5_xboole_0(A,B),C)))) # label(t14_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2753 (all A r1_tarski(k5_finsub_1(A),k1_zfmisc_1(A))) # label(t26_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2754 $T # label(t2_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2755 (all A v4_finsub_1(k1_zfmisc_1(A))) # label(t20_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2756 $T # label(t1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2757 (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]. 25.97/25.43 2758 (all A (v4_finsub_1(A) -> v1_finsub_1(A) & v3_finsub_1(A))) # label(cc1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2759 (all A (v4_finsub_1(A) <-> (all B all C (r2_hidden(B,A) & r2_hidden(C,A) -> r2_hidden(k4_xboole_0(B,C),A) & r2_hidden(k2_xboole_0(B,C),A))))) # label(t10_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2760 (all A (-v1_xboole_0(A) -> ((all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> r2_hidden(k5_xboole_0(B,C),A) & r2_hidden(k3_xboole_0(B,C),A))))) -> v4_finsub_1(A)))) # label(t16_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2761 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v4_finsub_1(A) -> k1_finsub_1(A,B,C) = k1_finsub_1(A,C,B))) # label(commutativity_k1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2762 (all A (v1_finsub_1(A) <-> (all B all C (r2_hidden(C,A) & r2_hidden(B,A) -> r2_hidden(k2_xboole_0(B,C),A))))) # label(d1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2763 (all A all B all C (v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k3_finsub_1(A,B,C) = k3_finsub_1(A,C,B))) # label(commutativity_k3_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2764 (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]. 25.97/25.43 2765 (all A all B (m1_subset_1(B,k5_finsub_1(A)) -> m1_subset_1(B,k1_zfmisc_1(A)))) # label(t32_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2766 (all A (v3_finsub_1(k5_finsub_1(A)) & v4_finsub_1(k5_finsub_1(A)) & v1_finsub_1(k5_finsub_1(A)) & -v1_xboole_0(k5_finsub_1(A)))) # label(fc2_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2767 $T # label(t6_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2768 (exists A (-v1_xboole_0(A) & v2_finsub_1(A) & v3_finsub_1(A) & v4_finsub_1(A) & v1_finsub_1(A))) # label(rc1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2769 (all A all B all C (-v1_xboole_0(A) & v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> k3_xboole_0(B,C) = k3_finsub_1(A,B,C))) # label(redefinition_k3_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2770 (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]. 25.97/25.43 2771 (all A (v1_finset_1(A) -> k1_zfmisc_1(A) = k5_finsub_1(A))) # label(t27_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2772 (all A (v1_finsub_1(k1_zfmisc_1(A)) & v3_finsub_1(k1_zfmisc_1(A)) & v4_finsub_1(k1_zfmisc_1(A)) & -v1_xboole_0(k1_zfmisc_1(A)))) # label(fc1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2773 (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]. 25.97/25.43 2774 $T # label(t22_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2775 $T # label(t9_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2776 (all A all B all C (v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,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]. 25.97/25.43 2777 $T # label(t8_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2778 (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]. 25.97/25.43 2779 $T # label(t33_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2780 (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]. 25.97/25.43 2781 (all A all B all C (v4_finsub_1(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> B = k1_finsub_1(A,B,B))) # label(idempotence_k1_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2782 $T # label(t3_finsub_1) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2783 (all A all B all C r1_tarski(k1_tarski(A),k1_enumset1(A,B,C))) # label(t3_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2784 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (all E (v1_funct_1(E) & m2_relset_1(E,B,A) & v1_funct_2(E,B,A) -> (v2_binop_1(C,A) & v1_binop_1(C,A) & v3_binop_1(C,A) -> (all F (m1_subset_1(F,B) -> k7_setwiseo(B,A,C,k5_setwiseo(B,D,k2_setwiseo(B,F)),E) = k2_binop_1(A,A,A,C,k7_setwiseo(B,A,C,D,E),k8_funct_2(B,A,E,F)))) | D = k1_xboole_0))))))))))) # label(t29_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2785 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> k10_setwiseo(A,A,B,k11_setwiseo(A)) = B)))) # label(t71_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2786 $T # label(t46_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2787 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,C) -> r2_hidden(k8_funct_2(A,B,E,F),D)))) -> r1_tarski(k2_funct_2(A,B,E,C),D)))))))))) # label(t15_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.43 2788 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,B,A) & v1_funct_2(C,B,A) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (k2_funct_2(B,A,C,D) = k1_xboole_0 -> k1_xboole_0 = D))))))))) # label(t19_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2789 $T # label(t24_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2790 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (v1_funct_2(D,k2_zfmisc_1(A,A),A) & m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (r6_binop_1(A,D,C) & v2_binop_1(C,A) & v1_binop_1(C,A) & v3_binop_1(C,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (E != k1_xboole_0 -> (all F (m2_relset_1(F,B,A) & v1_funct_2(F,B,A) & v1_funct_1(F) -> (all G (m1_subset_1(G,A) -> k2_binop_1(A,A,A,D,k7_setwiseo(B,A,C,E,F),G) = k7_setwiseo(B,A,C,E,k7_funcop_1(A,B,D,F,G)))))))))))))))))) # label(t37_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2791 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (v1_funct_1(D) & m2_relset_1(D,B,A) & v1_funct_2(D,B,A) -> (v3_binop_1(C,A) & v1_binop_1(C,A) & v2_binop_1(C,A) & v1_setwiseo(C,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (all F (m1_subset_1(F,k5_finsub_1(B)) -> k7_setwiseo(B,A,C,k5_setwiseo(B,E,F),D) = k2_binop_1(A,A,A,C,k7_setwiseo(B,A,C,E,D),k7_setwiseo(B,A,C,F,D))))))))))))))) # label(t42_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2792 $T # label(t66_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2793 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)) & m2_relset_1(B,k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)) -> (B = k9_setwiseo(A) <-> (all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> k2_binop_1(k5_finsub_1(A),k5_finsub_1(A),k5_finsub_1(A),B,C,D) = k5_setwiseo(A,C,D)))))))) # label(d4_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2794 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,B,k5_finsub_1(C)) & m2_relset_1(F,B,k5_finsub_1(C)) -> k10_setwiseo(B,C,k8_setwiseo(A,B,E,D),F) = k10_setwiseo(A,C,D,k7_funct_2(A,B,k5_finsub_1(C),E,F)))))))))))) # label(t63_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2795 $T # label(t47_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2796 (all A (v1_funct_2(k9_setwiseo(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)) & m2_relset_1(k9_setwiseo(A),k2_zfmisc_1(k5_finsub_1(A),k5_finsub_1(A)),k5_finsub_1(A)) & v1_funct_1(k9_setwiseo(A)))) # label(dt_k9_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2797 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (r2_hidden(C,B) -> m1_subset_1(C,A))))))) # label(t14_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2798 (all A all B all C (m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) -> k5_setwiseo(A,C,B) = k5_setwiseo(A,B,C))) # label(commutativity_k5_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2799 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,B,A) & m2_relset_1(D,B,A) -> (v1_binop_1(C,A) & v2_binop_1(C,A) -> (all E (m1_subset_1(E,B) -> k7_setwiseo(B,A,C,k2_setwiseo(B,E),D) = k8_funct_2(B,A,D,E)))))))))))) # label(t26_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2800 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) -> (v2_binop_1(D,A) & v1_binop_1(D,A) & v3_binop_1(D,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (k1_xboole_0 != E -> (all F (v1_funct_1(F) & v1_funct_2(F,B,C) & m2_relset_1(F,B,C) -> (all G (v1_funct_2(G,C,A) & m2_relset_1(G,C,A) & v1_funct_1(G) -> k7_setwiseo(B,A,D,E,k7_funct_2(B,C,A,F,G)) = k7_setwiseo(C,A,D,k8_setwiseo(B,C,F,E),G))))))))))))))))) # label(t38_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2801 (all A all B all C (r2_hidden(A,k2_xboole_0(B,k1_tarski(C))) <-> r2_hidden(A,B) | C = A)) # label(t6_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2802 (all A k1_xboole_0 = k1_setwiseo(A)) # label(d1_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2803 $T # label(t48_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2804 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (v1_funct_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> (v1_binop_1(C,A) & v2_binop_1(C,A) & v3_binop_1(C,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (all F (m1_subset_1(F,k5_finsub_1(B)) -> -(k1_xboole_0 != E & F != k1_xboole_0 & k7_setwiseo(B,A,C,k5_setwiseo(B,E,F),D) != k2_binop_1(A,A,A,C,k7_setwiseo(B,A,C,E,D),k7_setwiseo(B,A,C,F,D)))))))))))))))) # label(t30_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2805 (all A all B all C all D all E (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_relset_1(E,A,B) & m1_subset_1(D,k5_finsub_1(A)) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) -> m1_subset_1(k7_setwiseo(A,B,C,D,E),B))) # label(dt_k7_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2806 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> k1_tarski(B) = k2_setwiseo(A,B))) # label(redefinition_k2_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2807 $T # label(t21_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2808 (all A (m2_relset_1(k11_setwiseo(A),A,k5_finsub_1(A)) & v1_funct_2(k11_setwiseo(A),A,k5_finsub_1(A)) & v1_funct_1(k11_setwiseo(A)))) # label(dt_k11_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2809 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m1_subset_1(k2_setwiseo(A,B),k5_finsub_1(A)))) # label(dt_k2_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2810 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (v2_binop_1(C,B) & v3_binop_1(C,B) & v1_binop_1(C,B) -> (all F (m1_subset_1(F,B) -> (k2_funct_2(A,B,E,D) = k2_setwiseo(B,F) -> k7_setwiseo(A,B,C,D,E) = F)))))))))))))) # label(t34_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2811 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (m2_relset_1(D,B,A) & v1_funct_2(D,B,A) & v1_funct_1(D) -> (v3_binop_1(C,A) & v2_binop_1(C,A) & v1_binop_1(C,A) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,B) -> k2_binop_1(A,A,A,C,k8_funct_2(B,A,D,E),k8_funct_2(B,A,D,F)) = k7_setwiseo(B,A,C,k3_setwiseo(B,E,F),D)))))))))))))) # label(t27_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2812 (all A all B all C (m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) -> m1_subset_1(k6_setwiseo(A,B,C),k5_finsub_1(A)))) # label(dt_k6_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2813 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) -> (v2_binop_1(C,B) & v3_binop_1(C,B) & v1_setwiseo(C,B) & v1_binop_1(C,B) -> (all D (-v1_xboole_0(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(D,D),D) & m2_relset_1(E,k2_zfmisc_1(D,D),D) -> (v3_binop_1(E,D) & v1_setwiseo(E,D) & v2_binop_1(E,D) & v1_binop_1(E,D) -> (all F (v1_funct_1(F) & m2_relset_1(F,A,B) & v1_funct_2(F,A,B) -> (all G (v1_funct_2(G,B,D) & m2_relset_1(G,B,D) & v1_funct_1(G) -> ((all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,B) -> k8_funct_2(B,D,G,k2_binop_1(B,B,B,C,H,I)) = k2_binop_1(D,D,D,E,k8_funct_2(B,D,G,H),k8_funct_2(B,D,G,I)))))) & k8_funct_2(B,D,G,k3_binop_1(B,C)) = k3_binop_1(D,E) -> (all H (m1_subset_1(H,k5_finsub_1(A)) -> k8_funct_2(B,D,G,k7_setwiseo(A,B,C,H,F)) = k7_setwiseo(A,D,E,H,k7_funct_2(A,B,D,F,G))))))))))))))))))))) # label(t45_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2814 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (all E (v1_funct_1(E) & v1_funct_2(E,B,A) & m2_relset_1(E,B,A) -> (v2_binop_1(C,A) & v3_binop_1(C,A) & v1_binop_1(C,A) -> (all F (m1_subset_1(F,A) -> ((all G (m1_subset_1(G,B) -> (r2_hidden(G,D) -> k8_funct_2(B,A,E,G) = F))) -> k7_setwiseo(B,A,C,D,E) = F))) | k1_xboole_0 = D))))))))))) # label(t33_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2815 (all A (-v1_xboole_0(A) -> (all B all C (m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_2(C,A,k5_finsub_1(B)) & v1_funct_1(C) -> k1_xboole_0 = k10_setwiseo(A,B,k1_setwiseo(A),C))))) # label(t59_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2816 (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) -> ((exists C (m1_subset_1(C,A) & r3_binop_1(A,C,B))) <-> v1_setwiseo(B,A)))))) # label(d2_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2817 $T # label(t2_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2818 (all A all B (v1_funct_2(B,A,k5_finsub_1(A)) & m2_relset_1(B,A,k5_finsub_1(A)) & v1_funct_1(B) -> (k11_setwiseo(A) = B <-> (all C (r2_hidden(C,A) -> k1_funct_1(B,C) = k1_tarski(C)))))) # label(d6_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2819 (all A all B all C all D (m1_subset_1(B,A) & m1_subset_1(D,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k1_enumset1(B,C,D) = k4_setwiseo(A,B,C,D))) # label(redefinition_k4_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2820 (all A (-v1_xboole_0(A) -> (all B all C (v1_funct_2(C,A,k5_finsub_1(B)) & m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E (m1_subset_1(E,k5_finsub_1(A)) -> k10_setwiseo(A,B,k5_setwiseo(A,D,E),C) = k5_setwiseo(B,k10_setwiseo(A,B,D,C),k10_setwiseo(A,B,E,C)))))))))) # label(t62_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2821 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (r2_hidden(B,k8_funct_2(A,k5_finsub_1(A),k11_setwiseo(A),D)) & r2_hidden(C,k8_funct_2(A,k5_finsub_1(A),k11_setwiseo(A),D)) -> B = C))))))))) # label(t69_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2822 (all A v3_binop_1(k9_setwiseo(A),k5_finsub_1(A))) # label(t49_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2823 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (all E (m2_relset_1(E,B,A) & v1_funct_2(E,B,A) & v1_funct_1(E) -> (v3_binop_1(C,A) & v2_binop_1(C,A) & v1_binop_1(C,A) -> (all F (m1_subset_1(F,B) -> (r2_hidden(F,D) -> k2_binop_1(A,A,A,C,k8_funct_2(B,A,E,F),k7_setwiseo(B,A,C,D,E)) = k7_setwiseo(B,A,C,D,E))))))))))))))) # label(t31_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2824 (all A (m1_subset_1(A,k5_finsub_1(f1_s3_setwiseo)) -> (all B (m1_subset_1(B,k5_finsub_1(f1_s3_setwiseo)) -> (p1_s3_setwiseo(B) & p1_s3_setwiseo(A) -> k1_xboole_0 = A | p1_s3_setwiseo(k5_setwiseo(f1_s3_setwiseo,A,B)) | k1_xboole_0 = B))))) & (all A (m1_subset_1(A,f1_s3_setwiseo) -> p1_s3_setwiseo(k2_setwiseo(f1_s3_setwiseo,A)))) -> (all A (m1_subset_1(A,k5_finsub_1(f1_s3_setwiseo)) -> (A != k1_xboole_0 -> p1_s3_setwiseo(A)))) # label(s3_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2825 (all A (m1_subset_1(A,k5_finsub_1(f1_s4_setwiseo)) -> (all B (m1_subset_1(B,f1_s4_setwiseo) -> (p1_s4_setwiseo(A) -> p1_s4_setwiseo(k5_setwiseo(f1_s4_setwiseo,A,k2_setwiseo(f1_s4_setwiseo,B)))))))) & p1_s4_setwiseo(k1_setwiseo(f1_s4_setwiseo)) -> (all A (m1_subset_1(A,k5_finsub_1(f1_s4_setwiseo)) -> p1_s4_setwiseo(A))) # label(s4_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2826 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (v1_binop_1(C,A) & v2_binop_1(C,A) & v1_setwiseo(C,A) -> (all D (v1_funct_2(D,B,A) & m2_relset_1(D,B,A) & v1_funct_1(D) -> k7_setwiseo(B,A,C,k1_setwiseo(B),D) = k3_binop_1(A,C)))))))))) # label(t40_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2827 (all A (-v1_xboole_0(A) -> (all B all C (v1_funct_2(C,A,k5_finsub_1(B)) & m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> k10_setwiseo(A,B,k3_setwiseo(A,D,E),C) = k5_setwiseo(B,k8_funct_2(A,k5_finsub_1(B),C,D),k8_funct_2(A,k5_finsub_1(B),C,E)))))))))) # label(t57_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2828 (all A (-v1_xboole_0(A) -> (exists B (v1_finset_1(B) & -v1_xboole_0(B) & m1_subset_1(B,k5_finsub_1(A)))))) # label(rc2_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2829 (all A (-v1_xboole_0(A) -> (all B all C (v1_funct_1(C) & m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_2(C,A,k5_finsub_1(B)) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> k5_setwiseo(B,k5_setwiseo(B,k8_funct_2(A,k5_finsub_1(B),C,D),k8_funct_2(A,k5_finsub_1(B),C,E)),k8_funct_2(A,k5_finsub_1(B),C,F)) = k10_setwiseo(A,B,k4_setwiseo(A,D,E,F),C))))))))))) # label(t58_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2830 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,B,A) & v1_funct_2(C,B,A) & v1_funct_1(C) -> (all D (m1_subset_1(D,B) -> r2_hidden(D,k3_funct_2(B,A,C,k1_tarski(k8_funct_2(B,A,C,D)))))))))))) # label(t12_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2831 $T # label(t20_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2832 (all A all B all C -(-r2_hidden(C,A) & -r1_tarski(A,B) & r1_tarski(A,k2_xboole_0(B,k1_tarski(C))))) # label(t5_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2833 (all A (m1_subset_1(k1_setwiseo(A),k5_finsub_1(A)) & v1_xboole_0(k1_setwiseo(A)))) # label(dt_k1_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2834 (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) -> (r3_binop_1(A,k3_binop_1(A,B),B) <-> v1_setwiseo(B,A)))))) # label(t22_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2835 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C all D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) -> (v1_binop_1(D,A) & v3_binop_1(D,A) & v2_binop_1(D,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (E != k1_xboole_0 -> (all F (m2_relset_1(F,B,k5_finsub_1(C)) & v1_funct_2(F,B,k5_finsub_1(C)) & v1_funct_1(F) -> (all G (m2_relset_1(G,k5_finsub_1(C),A) & v1_funct_2(G,k5_finsub_1(C),A) & v1_funct_1(G) -> ((all H (m1_subset_1(H,k5_finsub_1(C)) -> (all I (m1_subset_1(I,k5_finsub_1(C)) -> k2_binop_1(A,A,A,D,k8_funct_2(k5_finsub_1(C),A,G,H),k8_funct_2(k5_finsub_1(C),A,G,I)) = k8_funct_2(k5_finsub_1(C),A,G,k5_setwiseo(C,H,I)))))) -> k7_setwiseo(B,A,D,E,k7_funct_2(B,k5_finsub_1(C),A,F,G)) = k8_funct_2(k5_finsub_1(C),A,G,k10_setwiseo(B,C,E,F))))))))))))))))) # label(t64_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.44 2836 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C all D (v1_funct_2(D,k2_zfmisc_1(B,B),B) & m2_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) -> (v1_binop_1(D,B) & v1_setwiseo(D,B) & v3_binop_1(D,B) & v2_binop_1(D,B) -> (all E (v1_funct_2(E,A,k5_finsub_1(C)) & m2_relset_1(E,A,k5_finsub_1(C)) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,k5_finsub_1(C),B) & m2_relset_1(F,k5_finsub_1(C),B) -> (k8_funct_2(k5_finsub_1(C),B,F,k1_setwiseo(C)) = k3_binop_1(B,D) & (all G (m1_subset_1(G,k5_finsub_1(C)) -> (all H (m1_subset_1(H,k5_finsub_1(C)) -> k8_funct_2(k5_finsub_1(C),B,F,k5_setwiseo(C,G,H)) = k2_binop_1(B,B,B,D,k8_funct_2(k5_finsub_1(C),B,F,G),k8_funct_2(k5_finsub_1(C),B,F,H)))))) -> (all G (m1_subset_1(G,k5_finsub_1(A)) -> k8_funct_2(k5_finsub_1(C),B,F,k10_setwiseo(A,C,G,E)) = k7_setwiseo(A,B,D,G,k7_funct_2(A,k5_finsub_1(C),B,E,F)))))))))))))))) # label(t65_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.45 2837 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (v2_binop_1(C,B) & v1_binop_1(C,B) -> (all F (m1_subset_1(F,B) -> ((exists G (m2_relset_1(G,k5_finsub_1(A),B) & k8_funct_2(k5_finsub_1(A),B,G,D) = F & (all H (m1_subset_1(H,k5_finsub_1(A)) -> (r1_tarski(H,D) -> H = k1_xboole_0 | (all I (m1_subset_1(I,A) -> (r2_hidden(I,k6_setwiseo(A,D,H)) -> k8_funct_2(k5_finsub_1(A),B,G,k5_setwiseo(A,H,k2_setwiseo(A,I))) = k2_binop_1(B,B,B,C,k8_funct_2(k5_finsub_1(A),B,G,H),k8_funct_2(A,B,E,I)))))))) & (all H (m1_subset_1(H,A) -> k8_funct_2(k5_finsub_1(A),B,G,k2_setwiseo(A,H)) = k8_funct_2(A,B,E,H))) & (all H (m1_subset_1(H,B) -> (r3_binop_1(B,H,C) -> k1_funct_1(G,k1_xboole_0) = H))) & v1_funct_2(G,k5_finsub_1(A),B) & v1_funct_1(G))) <-> k7_setwiseo(A,B,C,D,E) = F))) | -v1_setwiseo(C,B) & k1_xboole_0 = D))))))))))) # label(d3_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.45 2838 (all A exists B (m1_subset_1(B,k5_finsub_1(A)) & v1_xboole_0(B) & v1_finset_1(B))) # label(rc1_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.45 2839 (all A v2_binop_1(k9_setwiseo(A),k5_finsub_1(A))) # label(t51_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.45 2840 $T # label(t1_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.45 2841 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> k3_setwiseo(A,B,C) = k3_setwiseo(A,C,B))) # label(commutativity_k3_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.45 2842 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (all D (v1_funct_2(D,k2_zfmisc_1(A,A),A) & m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (v1_binop_1(C,A) & v2_binop_1(C,A) & r6_binop_1(A,D,C) & v3_binop_1(C,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (E != k1_xboole_0 -> (all F (v1_funct_2(F,B,A) & m2_relset_1(F,B,A) & v1_funct_1(F) -> (all G (m1_subset_1(G,A) -> k7_setwiseo(B,A,C,E,k8_funcop_1(A,B,D,G,F)) = k2_binop_1(A,A,A,D,G,k7_setwiseo(B,A,C,E,F)))))))))))))))))) # label(t36_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.45 2843 (all A (-v1_xboole_0(A) -> (all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,k5_finsub_1(B)) & m2_relset_1(D,A,k5_finsub_1(B)) -> (all E (v1_funct_2(E,k5_finsub_1(B),k5_finsub_1(C)) & m2_relset_1(E,k5_finsub_1(B),k5_finsub_1(C)) & v1_funct_1(E) -> (k1_setwiseo(C) = k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,k1_setwiseo(B)) & (all F (m1_subset_1(F,k5_finsub_1(B)) -> (all G (m1_subset_1(G,k5_finsub_1(B)) -> k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,k5_setwiseo(B,F,G)) = k5_setwiseo(C,k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,F),k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,G)))))) -> (all F (m1_subset_1(F,k5_finsub_1(A)) -> k10_setwiseo(A,C,F,k7_funct_2(A,k5_finsub_1(B),k5_finsub_1(C),D,E)) = k8_funct_2(k5_finsub_1(B),k5_finsub_1(C),E,k10_setwiseo(A,B,F,D))))))))))) # label(t72_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.45 2844 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (all D (v1_funct_1(D) & m2_relset_1(D,B,A) & v1_funct_2(D,B,A) -> (v1_binop_1(C,A) & v2_binop_1(C,A) & v3_binop_1(C,A) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,B) -> k2_binop_1(A,A,A,C,k2_binop_1(A,A,A,C,k8_funct_2(B,A,D,E),k8_funct_2(B,A,D,F)),k8_funct_2(B,A,D,G)) = k7_setwiseo(B,A,C,k4_setwiseo(B,E,F,G),D)))))))))))))))) # label(t28_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2845 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (v3_binop_1(D,A) & v2_binop_1(D,A) & v1_setwiseo(D,A) & v1_binop_1(D,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (all F (m2_relset_1(F,B,C) & v1_funct_2(F,B,C) & v1_funct_1(F) -> (all G (v1_funct_2(G,C,A) & m2_relset_1(G,C,A) & v1_funct_1(G) -> k7_setwiseo(C,A,D,k8_setwiseo(B,C,F,E),G) = k7_setwiseo(B,A,D,E,k7_funct_2(B,C,A,F,G))))))))))))))))) # label(t44_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2846 (all A all B all C (m1_subset_1(C,k5_finsub_1(A)) & m1_subset_1(B,k5_finsub_1(A)) -> k6_setwiseo(A,B,C) = k4_xboole_0(B,C))) # label(redefinition_k6_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2847 (all A all B all C (m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) -> m1_subset_1(k5_setwiseo(A,B,C),k5_finsub_1(A)))) # label(dt_k5_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2848 (all A all B all C (r2_hidden(B,C) & r1_tarski(A,C) <-> r1_tarski(k2_xboole_0(A,k1_tarski(B)),C))) # label(t8_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2849 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> -(k1_xboole_0 != B & (all C (m1_subset_1(C,A) -> -r2_hidden(C,B)))))))) # label(t18_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2850 (all A (-v1_xboole_0(A) -> (all B all C (m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_2(C,A,k5_finsub_1(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> k10_setwiseo(A,B,D,C) = k3_tarski(k8_setwiseo(A,k5_finsub_1(B),C,D)))))))) # label(t61_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2851 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,B) & v1_funct_2(E,A,B) -> (v3_binop_1(C,B) & v2_binop_1(C,B) & v1_binop_1(C,B) -> -v1_setwiseo(C,B) & k1_xboole_0 = D | (all F (m1_subset_1(F,B) -> ((exists G (m2_relset_1(G,k5_finsub_1(A),B) & k8_funct_2(k5_finsub_1(A),B,G,D) = F & (all H (m1_subset_1(H,B) -> (r3_binop_1(B,H,C) -> H = k1_funct_1(G,k1_xboole_0)))) & (all H (m1_subset_1(H,A) -> k8_funct_2(k5_finsub_1(A),B,G,k2_setwiseo(A,H)) = k8_funct_2(A,B,E,H))) & (all H (m1_subset_1(H,k5_finsub_1(A)) -> (r1_tarski(H,D) -> k1_xboole_0 = H | (all I (m1_subset_1(I,A) -> (r2_hidden(I,D) -> k2_binop_1(B,B,B,C,k8_funct_2(k5_finsub_1(A),B,G,H),k8_funct_2(A,B,E,I)) = k8_funct_2(k5_finsub_1(A),B,G,k5_setwiseo(A,H,k2_setwiseo(A,I))))))))) & v1_funct_2(G,k5_finsub_1(A),B) & v1_funct_1(G))) <-> k7_setwiseo(A,B,C,D,E) = F)))))))))))))) # label(t25_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2852 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (all E (v1_funct_1(E) & m2_relset_1(E,B,A) & v1_funct_2(E,B,A) -> (v2_binop_1(C,A) & v1_setwiseo(C,A) & v1_binop_1(C,A) & v3_binop_1(C,A) -> (all F (m1_subset_1(F,B) -> k7_setwiseo(B,A,C,k5_setwiseo(B,D,k2_setwiseo(B,F)),E) = k2_binop_1(A,A,A,C,k7_setwiseo(B,A,C,D,E),k8_funct_2(B,A,E,F))))))))))))))) # label(t41_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2853 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) -> (v1_setwiseo(B,A) -> (all C (m1_subset_1(C,A) -> k2_binop_1(A,A,A,B,k3_binop_1(A,B),C) = C & k2_binop_1(A,A,A,B,C,k3_binop_1(A,B)) = C))))))) # label(t23_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2854 (all A r3_binop_1(k5_finsub_1(A),k1_setwiseo(A),k9_setwiseo(A))) # label(t52_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2855 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(D,A) & m1_subset_1(C,A) -> m1_subset_1(k4_setwiseo(A,B,C,D),k5_finsub_1(A)))) # label(dt_k4_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2856 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) -> (v3_binop_1(C,B) & v1_setwiseo(C,B) & v2_binop_1(C,B) & v1_binop_1(C,B) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,B) & v1_funct_2(E,A,B) -> (all F (m1_subset_1(F,k5_finsub_1(A)) -> (all G (m1_subset_1(G,k5_finsub_1(A)) -> (k8_setwiseo(A,B,E,G) = k8_setwiseo(A,B,D,F) -> k7_setwiseo(A,B,C,F,D) = k7_setwiseo(A,B,C,G,E))))))))))))))))) # label(t43_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2857 (all A all B all C (m1_subset_1(C,k5_finsub_1(A)) & m1_subset_1(B,k5_finsub_1(A)) -> k5_setwiseo(A,B,C) = k2_xboole_0(B,C))) # label(redefinition_k5_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2858 (all A (-v1_xboole_0(A) -> (all B all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D (v1_funct_2(D,A,k5_finsub_1(B)) & m2_relset_1(D,A,k5_finsub_1(B)) & v1_funct_1(D) -> k10_setwiseo(A,B,C,D) = k7_setwiseo(A,k5_finsub_1(B),k9_setwiseo(B),C,D))))))) # label(d5_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2859 (exists A (v1_funct_2(A,f1_s1_setwiseo,k5_finsub_1(f1_s1_setwiseo)) & (all B (m1_subset_1(B,f1_s1_setwiseo) -> (all C (m1_subset_1(C,f1_s1_setwiseo) -> (p1_s1_setwiseo(C,B) & r2_hidden(C,f2_s1_setwiseo) <-> r2_hidden(C,k8_funct_2(f1_s1_setwiseo,k5_finsub_1(f1_s1_setwiseo),A,B))))))) & m2_relset_1(A,f1_s1_setwiseo,k5_finsub_1(f1_s1_setwiseo)) & v1_funct_1(A))) # label(s1_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2860 (all A all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (r1_tarski(C,B) -> m1_subset_1(C,k5_finsub_1(A)))))) # label(t16_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2861 (all A (-v1_xboole_0(A) -> (all B all C (m1_subset_1(C,A) -> (r2_hidden(B,k8_funct_2(A,k5_finsub_1(A),k11_setwiseo(A),C)) <-> B = C))))) # label(t68_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2862 (all A all B all C (m1_subset_1(B,k5_finsub_1(A)) & m1_subset_1(C,k5_finsub_1(A)) -> k5_setwiseo(A,B,B) = B)) # label(idempotence_k5_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2863 (all A (-v1_xboole_0(A) -> (all B all C (m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_2(C,A,k5_finsub_1(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,A) -> k8_funct_2(A,k5_finsub_1(B),C,D) = k10_setwiseo(A,B,k2_setwiseo(A,D),C))))))) # label(t56_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2864 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> m1_subset_1(k3_setwiseo(A,B,C),k5_finsub_1(A)))) # label(dt_k3_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2865 (all A all B all C all D (v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(D,k5_finsub_1(A)) & m1_relset_1(C,A,B) & -v1_xboole_0(B) & -v1_xboole_0(A) -> k9_relat_1(C,D) = k8_setwiseo(A,B,C,D))) # label(redefinition_k8_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2866 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (v1_binop_1(C,B) & v2_binop_1(C,B) & v3_binop_1(C,B) -> (all D (-v1_xboole_0(D) -> (all E (m2_relset_1(E,k2_zfmisc_1(D,D),D) & v1_funct_2(E,k2_zfmisc_1(D,D),D) & v1_funct_1(E) -> (v3_binop_1(E,D) & v2_binop_1(E,D) & v1_binop_1(E,D) -> (all F (m2_relset_1(F,A,B) & v1_funct_2(F,A,B) & v1_funct_1(F) -> (all G (v1_funct_1(G) & m2_relset_1(G,B,D) & v1_funct_2(G,B,D) -> ((all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,B) -> k2_binop_1(D,D,D,E,k8_funct_2(B,D,G,H),k8_funct_2(B,D,G,I)) = k8_funct_2(B,D,G,k2_binop_1(B,B,B,C,H,I)))))) -> (all H (m1_subset_1(H,k5_finsub_1(A)) -> (k1_xboole_0 != H -> k8_funct_2(B,D,G,k7_setwiseo(A,B,C,H,F)) = k7_setwiseo(A,D,E,H,k7_funct_2(A,B,D,F,G)))))))))))))))))))))) # label(t39_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2867 $T # label(t9_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2868 (all A all B all C r1_tarski(k2_tarski(A,B),k1_enumset1(A,B,C))) # label(t4_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2869 (all A (-v1_xboole_0(A) -> (all B all C (v1_funct_2(C,A,k5_finsub_1(B)) & m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> (all E ((exists F (m1_subset_1(F,A) & r2_hidden(E,k8_funct_2(A,k5_finsub_1(B),C,F)) & r2_hidden(F,D))) <-> r2_hidden(E,k10_setwiseo(A,B,D,C)))))))))) # label(t70_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2870 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(C,k5_finsub_1(A)) & m1_relset_1(D,A,k5_finsub_1(B)) & v1_funct_2(D,A,k5_finsub_1(B)) & v1_funct_1(D) -> m1_subset_1(k10_setwiseo(A,B,C,D),k5_finsub_1(B)))) # label(dt_k10_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2871 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,B,A) & m2_relset_1(C,B,A) -> (all D (m1_subset_1(D,B) -> k1_tarski(k8_funct_2(B,A,C,D)) = k2_funct_2(B,A,C,k1_tarski(D)))))))))) # label(t13_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2872 $T # label(t17_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2873 (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) -> (v3_binop_1(C,A) & v2_binop_1(C,A) & v1_binop_1(C,A) -> (all E (m1_subset_1(E,k5_finsub_1(B)) -> (all F (m1_subset_1(F,k5_finsub_1(B)) -> (r1_tarski(E,F) -> k2_binop_1(A,A,A,C,k7_setwiseo(B,A,C,E,D),k7_setwiseo(B,A,C,F,D)) = k7_setwiseo(B,A,C,F,D) | k1_xboole_0 = E)))))))))))))) # label(t32_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2874 $T # label(t10_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2875 (all A k1_xboole_0 = k3_binop_1(k5_finsub_1(A),k9_setwiseo(A))) # label(t55_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2876 (all A v1_binop_1(k9_setwiseo(A),k5_finsub_1(A))) # label(t50_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2877 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,A,k5_finsub_1(A)) & v1_funct_2(B,A,k5_finsub_1(A)) & v1_funct_1(B) -> (B = k11_setwiseo(A) <-> (all C (m1_subset_1(C,A) -> k2_setwiseo(A,C) = k8_funct_2(A,k5_finsub_1(A),B,C)))))))) # label(t67_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2878 (all A r3_binop_1(k5_finsub_1(A),k3_binop_1(k5_finsub_1(A),k9_setwiseo(A)),k9_setwiseo(A))) # label(t54_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2879 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(D,k5_finsub_1(A)) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) & -v1_xboole_0(A) -> m1_subset_1(k8_setwiseo(A,B,C,D),k5_finsub_1(B)))) # label(dt_k8_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2880 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> k4_xboole_0(k9_relat_1(C,B),A) = k9_relat_1(C,k4_xboole_0(B,k10_relat_1(C,A))))) # label(t11_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2881 (all A (-v1_xboole_0(A) -> (all B all C (m2_relset_1(C,A,k5_finsub_1(B)) & v1_funct_2(C,A,k5_finsub_1(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,k5_finsub_1(A)) -> k10_setwiseo(A,B,k5_setwiseo(A,E,k2_setwiseo(A,D)),C) = k5_setwiseo(B,k10_setwiseo(A,B,E,C),k8_funct_2(A,k5_finsub_1(B),C,D)))))))))) # label(t60_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2882 (all A v1_setwiseo(k9_setwiseo(A),k5_finsub_1(A))) # label(t53_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2883 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> k2_tarski(B,C) = k3_setwiseo(A,B,C))) # label(redefinition_k3_setwiseo) # label(axiom) # label(non_clause). [assumption]. 25.97/25.47 2884 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (v1_binop_1(C,B) & v2_binop_1(C,B) & v3_binop_1(C,B) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (v1_funct_2(E,A,B) & m2_relset_1(E,A,B) & v1_funct_1(E) -> (all F (m1_subset_1(F,k5_finsub_1(A)) -> (all G (m1_subset_1(G,k5_finsub_1(A)) -> (k2_funct_2(A,B,D,F) = k2_funct_2(A,B,E,G) -> k7_setwiseo(A,B,C,G,E) = k7_setwiseo(A,B,C,F,D) | k1_xboole_0 = F)))))))))))))))) # label(t35_setwiseo) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2885 $T # label(t7_setwiseo) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2886 p1_s2_setwiseo(k1_setwiseo(f1_s2_setwiseo)) & (all A (m1_subset_1(A,k5_finsub_1(f1_s2_setwiseo)) -> (all B (m1_subset_1(B,f1_s2_setwiseo) -> (p1_s2_setwiseo(A) -> r2_hidden(B,A) | p1_s2_setwiseo(k5_setwiseo(f1_s2_setwiseo,A,k2_setwiseo(f1_s2_setwiseo,B)))))))) -> (all A (m1_subset_1(A,k5_finsub_1(f1_s2_setwiseo)) -> p1_s2_setwiseo(A))) # label(s2_setwiseo) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2887 (all A ((exists B (p1_s19_fraenkel(B,f4_s19_fraenkel) & A = f3_s19_fraenkel(B,f4_s19_fraenkel) & m1_subset_1(B,f1_s19_fraenkel))) <-> r2_hidden(A,a_0_35_fraenkel))) # label(fraenkel_a_0_35_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2888 (all A (-v1_xboole_0(A) -> (all B all C all D (r1_tarski(D,A) & r1_tarski(C,B) -> (all E (m1_subset_1(E,k1_funct_2(C,D)) -> (exists F (k7_relat_1(F,C) = E & m2_fraenkel(F,B,A,k1_fraenkel(B,A)))))) | k1_funct_2(C,D) = k1_xboole_0)))) # label(t14_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2889 (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]. 26.06/25.47 2890 $T # label(t9_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2891 (all A (r2_hidden(A,a_0_31_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s16_fraenkel) & m1_subset_1(C,f2_s16_fraenkel) & p2_s16_fraenkel(B,C) & A = f3_s16_fraenkel(B,C))))) # label(fraenkel_a_0_31_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2892 (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]. 26.06/25.47 2893 $T # label(t1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2894 (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]. 26.06/25.47 2895 (all A (r2_hidden(A,a_0_27_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s15_fraenkel) & m1_subset_1(C,f2_s15_fraenkel) & r2_hidden(B,a_0_28_fraenkel) & p1_s15_fraenkel(B,C) & f3_s15_fraenkel(B,C) = A)))) # label(fraenkel_a_0_27_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2896 (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)) -> v1_funct_1(E) & m2_relset_1(E,B,A))))))) # label(t6_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2897 (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]. 26.06/25.47 2898 (all A (r2_hidden(A,a_0_5_fraenkel) <-> (exists B (m1_subset_1(B,f1_s3_fraenkel) & p2_s3_fraenkel(B) & f2_s3_fraenkel(B) = A)))) # label(fraenkel_a_0_5_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2899 (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]. 26.06/25.47 2900 (all A (v1_fraenkel(A) -> (all B (m1_subset_1(B,A) -> v1_funct_1(B) & v1_relat_1(B))))) # label(cc1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2901 (all A all B v1_fraenkel(k1_funct_2(A,B))) # label(fc1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2902 (all A (m1_subset_1(A,f1_s23_fraenkel) -> p1_s23_fraenkel(A,A))) & (all A (m1_subset_1(A,f1_s23_fraenkel) -> (all B (m1_subset_1(B,f1_s23_fraenkel) -> (all C (m1_subset_1(C,f1_s23_fraenkel) -> (p1_s23_fraenkel(B,C) & p1_s23_fraenkel(A,B) -> p1_s23_fraenkel(A,C)))))))) -> (all A (m1_subset_1(A,f1_s23_fraenkel) -> -((all B (m1_subset_1(B,f1_s23_fraenkel) -> -(r2_hidden(B,f2_s23_fraenkel) & p1_s23_fraenkel(B,A) & (all C (m1_subset_1(C,f1_s23_fraenkel) -> (p1_s23_fraenkel(C,B) & r2_hidden(C,f2_s23_fraenkel) -> p1_s23_fraenkel(B,C))))))) & r2_hidden(A,f2_s23_fraenkel)))) # label(s23_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2903 (all A all B (v1_finset_1(A) & v1_finset_1(B) -> v1_fraenkel(k1_funct_2(A,B)) & v1_finset_1(k1_funct_2(A,B)))) # label(fc2_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2904 (all A ((exists B exists C (m1_subset_1(B,f1_s19_fraenkel) & f3_s19_fraenkel(B,C) = A & p2_s19_fraenkel(B,C) & m1_subset_1(C,f2_s19_fraenkel))) <-> r2_hidden(A,a_0_34_fraenkel))) # label(fraenkel_a_0_34_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2905 (all A ((exists B exists C (m1_subset_1(B,f1_s4_fraenkel) & m1_subset_1(C,f2_s4_fraenkel) & A = f3_s4_fraenkel(B,C) & p1_s4_fraenkel(B,C))) <-> r2_hidden(A,a_0_6_fraenkel))) # label(fraenkel_a_0_6_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2906 (all A ((exists B exists C (m1_subset_1(B,f1_s2_fraenkel) & m1_subset_1(C,f2_s2_fraenkel) & p2_s2_fraenkel(B,C) & f3_s2_fraenkel(B,C) = A)) <-> r2_hidden(A,a_0_3_fraenkel))) # label(fraenkel_a_0_3_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2907 (all A (v1_fraenkel(A) -> (all B (r1_tarski(B,A) -> v1_fraenkel(B))))) # label(t17_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2908 (all A (r2_hidden(A,a_0_20_fraenkel) <-> (exists B exists C (p1_s12_fraenkel(B,C) & A = f3_s12_fraenkel(B,C) & m1_subset_1(C,f2_s12_fraenkel) & m1_subset_1(B,f1_s12_fraenkel))))) # label(fraenkel_a_0_20_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2909 (all A (m1_subset_1(A,f1_s19_fraenkel) -> (all B (m1_subset_1(B,f2_s19_fraenkel) -> (p1_s19_fraenkel(A,B) & f4_s19_fraenkel = B <-> p2_s19_fraenkel(A,B)))))) -> a_0_35_fraenkel = a_0_34_fraenkel # label(s19_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2910 (all A all B all C (m2_relset_1(C,A,B) & v1_funct_2(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]. 26.06/25.47 2911 (all A (m1_subset_1(A,f1_s4_fraenkel) -> (all B (m1_subset_1(B,f2_s4_fraenkel) -> (p1_s4_fraenkel(A,B) <-> p2_s4_fraenkel(A,B)))))) -> a_0_6_fraenkel = a_0_7_fraenkel # label(s4_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2912 (all A (r2_hidden(A,a_0_0_fraenkel) <-> (exists B (p1_s1_fraenkel(B) & A = f2_s1_fraenkel(B) & m1_subset_1(B,f1_s1_fraenkel))))) # label(fraenkel_a_0_0_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2913 (all A (r2_hidden(A,a_0_39_fraenkel) <-> (exists B exists C (A = f5_s22_fraenkel(B,C) & r2_hidden(C,f4_s22_fraenkel) & r2_hidden(B,f3_s22_fraenkel) & m1_subset_1(C,f2_s22_fraenkel) & m1_subset_1(B,f1_s22_fraenkel))))) # label(fraenkel_a_0_39_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2914 (all A (r2_hidden(A,a_0_18_fraenkel) <-> (exists B (m1_subset_1(B,f1_s10_fraenkel) & p1_s10_fraenkel(B) & B = A)))) # label(fraenkel_a_0_18_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2915 (all A ((exists B exists C (m1_subset_1(B,f1_s16_fraenkel) & m1_subset_1(C,f2_s16_fraenkel) & f3_s16_fraenkel(B,C) = A & p1_s16_fraenkel(B,C))) <-> r2_hidden(A,a_0_30_fraenkel))) # label(fraenkel_a_0_30_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2916 (all A (r2_hidden(A,a_0_11_fraenkel) <-> (exists B (m1_subset_1(B,f1_s6_fraenkel) & p1_s6_fraenkel(B) & f3_s6_fraenkel(B) = A)))) # label(fraenkel_a_0_11_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2917 (all A ((exists B exists C (m1_subset_1(C,f2_s13_fraenkel) & p1_s13_fraenkel(B,C) & A = f4_s13_fraenkel(B,C) & m1_subset_1(B,f1_s13_fraenkel))) <-> r2_hidden(A,a_0_22_fraenkel))) # label(fraenkel_a_0_22_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2918 (all A all B all C (-v1_xboole_0(C) & v1_fraenkel(C) -> (m1_fraenkel(C,A,B) <-> (all D (m1_subset_1(D,C) -> m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D)))))) # label(d2_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2919 (all A ((exists B exists C (m1_subset_1(C,f2_s7_fraenkel) & f4_s7_fraenkel(B,C) = A & p1_s7_fraenkel(B,C) & m1_subset_1(B,f1_s7_fraenkel))) <-> r2_hidden(A,a_0_13_fraenkel))) # label(fraenkel_a_0_13_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2920 (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]. 26.06/25.47 2921 (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]. 26.06/25.47 2922 (all A all B (v1_finset_1(A) & v1_finset_1(B) -> v1_finset_1(k1_funct_2(A,B)))) # label(t16_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2923 (all A (r2_hidden(A,a_0_10_fraenkel) <-> (exists B (m1_subset_1(B,f1_s6_fraenkel) & p1_s6_fraenkel(B) & A = f2_s6_fraenkel(B))))) # label(fraenkel_a_0_10_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2924 (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]. 26.06/25.47 2925 (all A ((exists B exists C (m1_subset_1(C,f2_s4_fraenkel) & f3_s4_fraenkel(B,C) = A & p2_s4_fraenkel(B,C) & m1_subset_1(B,f1_s4_fraenkel))) <-> r2_hidden(A,a_0_7_fraenkel))) # label(fraenkel_a_0_7_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2926 (all A ((exists B exists C (m1_subset_1(B,f1_s11_fraenkel) & f3_s11_fraenkel(B,C) = A & p1_s11_fraenkel(B,C) & m1_subset_1(C,f2_s11_fraenkel))) <-> r2_hidden(A,a_0_19_fraenkel))) # label(fraenkel_a_0_19_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2927 (all A all B all C (-v1_xboole_0(B) & m1_fraenkel(C,A,B) -> (exists D m2_fraenkel(D,A,B,C)))) # label(existence_m2_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2928 (all A ((exists B exists C (p2_s8_fraenkel(B,C) & f3_s8_fraenkel(C,B) = A & m1_subset_1(C,f2_s8_fraenkel) & m1_subset_1(B,f1_s8_fraenkel))) <-> r2_hidden(A,a_0_15_fraenkel))) # label(fraenkel_a_0_15_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2929 (all A ((exists B (p2_s14_fraenkel(B) & B = A & m1_subset_1(B,f1_s14_fraenkel))) <-> r2_hidden(A,a_0_25_fraenkel))) # label(fraenkel_a_0_25_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2930 (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]. 26.06/25.47 2931 (all A (r2_hidden(A,a_0_36_fraenkel) <-> (exists B exists C (f3_s20_fraenkel(B,C) = A & C = f4_s20_fraenkel & p1_s20_fraenkel(B,C) & m1_subset_1(C,f2_s20_fraenkel) & m1_subset_1(B,f1_s20_fraenkel))))) # label(fraenkel_a_0_36_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2932 (all A (r2_hidden(A,a_0_38_fraenkel) <-> (exists B (f3_s21_fraenkel(B) = A & r2_hidden(B,f2_s21_fraenkel) & m1_subset_1(B,f1_s21_fraenkel))))) # label(fraenkel_a_0_38_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2933 (all A ((exists B (p1_s5_fraenkel(B) & A = f3_s5_fraenkel(B) & m1_subset_1(B,f1_s5_fraenkel))) <-> r2_hidden(A,a_0_9_fraenkel))) # label(fraenkel_a_0_9_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2934 (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]. 26.06/25.47 2935 (all A ((exists B (m1_subset_1(B,f1_s17_fraenkel) & A = f3_s17_fraenkel(B) & p1_s17_fraenkel(B) & r2_hidden(f3_s17_fraenkel(B),f2_s17_fraenkel))) <-> r2_hidden(A,a_0_32_fraenkel))) # label(fraenkel_a_0_32_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2936 (all A (r2_hidden(A,a_0_24_fraenkel) <-> (exists B (r2_hidden(B,a_0_25_fraenkel) & p1_s14_fraenkel(B) & f2_s14_fraenkel(B) = A & m1_subset_1(B,f1_s14_fraenkel))))) # label(fraenkel_a_0_24_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2937 (all A (m1_subset_1(A,f1_s6_fraenkel) -> (p1_s6_fraenkel(A) -> f3_s6_fraenkel(A) = f2_s6_fraenkel(A)))) -> a_0_10_fraenkel = a_0_11_fraenkel # label(s6_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2938 v1_finset_1(f3_s22_fraenkel) & v1_finset_1(f4_s22_fraenkel) -> v1_finset_1(a_0_39_fraenkel) # label(s22_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2939 (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 (v1_funct_2(A,f1_s26_fraenkel,f2_s26_fraenkel) & m2_relset_1(A,f1_s26_fraenkel,f2_s26_fraenkel) & (all B (m1_subset_1(B,f1_s26_fraenkel) -> (r2_hidden(B,f3_s26_fraenkel) -> p1_s26_fraenkel(B,k8_funct_2(f1_s26_fraenkel,f2_s26_fraenkel,A,B))))) & v1_funct_1(A))) # label(s26_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2940 $T # label(t12_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2941 (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]. 26.06/25.47 2942 (all A (r2_hidden(A,a_0_33_fraenkel) <-> (exists B (p1_s18_fraenkel(B) & -r2_hidden(f3_s18_fraenkel(B),f2_s18_fraenkel) & A = f3_s18_fraenkel(B) & m1_subset_1(B,f1_s18_fraenkel))))) # label(fraenkel_a_0_33_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2943 (exists A (m1_subset_1(A,k5_finsub_1(f1_s24_fraenkel)) & (all B (m1_subset_1(B,f1_s24_fraenkel) -> ((exists C (r2_hidden(C,f3_s24_fraenkel) & B = f4_s24_fraenkel(C) & p1_s24_fraenkel(B,C) & m1_subset_1(C,f2_s24_fraenkel))) <-> r2_hidden(B,A)))))) # label(s24_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2944 (all A (r2_hidden(A,a_0_14_fraenkel) <-> (exists B exists C (p1_s8_fraenkel(B,C) & A = f3_s8_fraenkel(B,C) & m1_subset_1(C,f2_s8_fraenkel) & m1_subset_1(B,f1_s8_fraenkel))))) # label(fraenkel_a_0_14_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2945 (all A (m1_subset_1(A,f1_s3_fraenkel) -> (p2_s3_fraenkel(A) <-> p1_s3_fraenkel(A)))) -> a_0_4_fraenkel = a_0_5_fraenkel # label(s3_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2946 (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]. 26.06/25.47 2947 (all A (r2_hidden(A,a_0_4_fraenkel) <-> (exists B (m1_subset_1(B,f1_s3_fraenkel) & p1_s3_fraenkel(B) & A = f2_s3_fraenkel(B))))) # label(fraenkel_a_0_4_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2948 (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]. 26.06/25.47 2949 (all A ((exists B exists C (m1_subset_1(B,f1_s13_fraenkel) & m1_subset_1(C,f2_s13_fraenkel) & A = f4_s13_fraenkel(B,C) & p2_s13_fraenkel(f4_s13_fraenkel(B,C)) & p1_s13_fraenkel(B,C))) <-> r2_hidden(A,a_0_23_fraenkel))) # label(fraenkel_a_0_23_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.47 2950 $T # label(t7_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2951 (all A all B all C (m1_fraenkel(C,A,B) & -v1_xboole_0(B) -> (all D (m1_subset_1(D,C) <-> m2_fraenkel(D,A,B,C))))) # label(redefinition_m2_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2952 (all A (r2_hidden(A,a_0_12_fraenkel) <-> (exists B exists C (m1_subset_1(C,f2_s7_fraenkel) & f3_s7_fraenkel(B,C) = A & p1_s7_fraenkel(B,C) & m1_subset_1(B,f1_s7_fraenkel))))) # label(fraenkel_a_0_12_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2953 (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]. 26.06/25.48 2954 (all A ((exists B (m1_subset_1(B,f1_s20_fraenkel) & A = f3_s20_fraenkel(B,f4_s20_fraenkel) & p1_s20_fraenkel(B,f4_s20_fraenkel))) <-> r2_hidden(A,a_0_37_fraenkel))) # label(fraenkel_a_0_37_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2955 (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) -> -(p2_s16_fraenkel(C,B) & f3_s16_fraenkel(C,B) = f3_s16_fraenkel(A,B))))))))) -> r1_tarski(a_0_30_fraenkel,a_0_31_fraenkel) # label(s16_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2956 (all A (r2_hidden(A,a_0_29_fraenkel) <-> (exists B exists C (m1_subset_1(B,f1_s15_fraenkel) & m1_subset_1(C,f2_s15_fraenkel) & A = f3_s15_fraenkel(B,C) & p1_s15_fraenkel(B,C) & p2_s15_fraenkel(B))))) # label(fraenkel_a_0_29_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2957 (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]. 26.06/25.48 2958 (all A (r2_hidden(A,a_0_8_fraenkel) <-> (exists B (p1_s5_fraenkel(B) & A = f2_s5_fraenkel(B) & m1_subset_1(B,f1_s5_fraenkel))))) # label(fraenkel_a_0_8_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2959 (exists A (v1_fraenkel(A) & -v1_xboole_0(A))) # label(rc1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2960 (all A ((exists B (r1_tarski(k2_funct_2(f1_s25_fraenkel,f2_s25_fraenkel,B,f3_s25_fraenkel),f4_s25_fraenkel) & f5_s25_fraenkel(B) = A & 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]. 26.06/25.48 2961 $T # label(t4_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2962 (all A (r2_hidden(A,a_0_1_fraenkel) <-> (exists B (A = f2_s1_fraenkel(B) & p2_s1_fraenkel(B) & m1_subset_1(B,f1_s1_fraenkel))))) # label(fraenkel_a_0_1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2963 k7_relat_1(f4_s9_fraenkel,f3_s9_fraenkel) = k7_relat_1(f5_s9_fraenkel,f3_s9_fraenkel) & (all A (m1_subset_1(A,f1_s9_fraenkel) -> (r2_hidden(A,f3_s9_fraenkel) -> (p1_s9_fraenkel(A) <-> p2_s9_fraenkel(A))))) -> a_0_17_fraenkel = a_0_16_fraenkel # label(s9_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2964 $T # label(t2_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2965 (all A (r2_hidden(A,a_0_2_fraenkel) <-> (exists B exists C (A = f3_s2_fraenkel(B,C) & p1_s2_fraenkel(B,C) & m1_subset_1(C,f2_s2_fraenkel) & m1_subset_1(B,f1_s2_fraenkel))))) # label(fraenkel_a_0_2_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2966 (all A (r2_hidden(A,a_0_26_fraenkel) <-> (exists B (m1_subset_1(B,f1_s14_fraenkel) & f2_s14_fraenkel(B) = A & p1_s14_fraenkel(B) & p2_s14_fraenkel(B))))) # label(fraenkel_a_0_26_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2967 v1_finset_1(f2_s21_fraenkel) -> v1_finset_1(a_0_38_fraenkel) # label(s21_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2968 v1_finset_1(f3_s25_fraenkel) & v1_finset_1(f4_s25_fraenkel) & (all A (m2_fraenkel(A,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) -> (all B (m2_fraenkel(B,f1_s25_fraenkel,f2_s25_fraenkel,k1_fraenkel(f1_s25_fraenkel,f2_s25_fraenkel)) -> (k7_relat_1(B,f3_s25_fraenkel) = k7_relat_1(A,f3_s25_fraenkel) -> f5_s25_fraenkel(B) = f5_s25_fraenkel(A)))))) -> v1_finset_1(a_0_40_fraenkel) # label(s25_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2969 (all A (-v1_xboole_0(A) -> (all B all C all D (m2_fraenkel(D,B,A,k1_fraenkel(B,A)) -> k7_relat_1(D,k3_xboole_0(B,C)) = k7_relat_1(D,C))))) # label(t15_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2970 (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]. 26.06/25.48 2971 $T # label(t13_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2972 (all A (r2_hidden(A,a_0_21_fraenkel) <-> (exists B (p2_s13_fraenkel(B) & r2_hidden(B,a_0_22_fraenkel) & A = B & m1_subset_1(B,f3_s13_fraenkel))))) # label(fraenkel_a_0_21_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2973 (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) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B))))) # label(dt_m2_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2974 (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 (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (k7_relat_1(C,E) = k7_relat_1(D,E) -> (all F (m1_subset_1(F,A) -> (r2_hidden(F,E) -> k8_funct_2(A,B,D,F) = k8_funct_2(A,B,C,F)))))))))))))) # label(t3_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2975 (all A all B exists C m1_fraenkel(C,A,B)) # label(existence_m1_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2976 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_fraenkel(k1_tarski(A)))) # label(t8_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2977 (all A ((exists B (A = k8_funct_2(f1_s9_fraenkel,f2_s9_fraenkel,f4_s9_fraenkel,B) & r2_hidden(B,f3_s9_fraenkel) & p1_s9_fraenkel(B) & m1_subset_1(B,f1_s9_fraenkel))) <-> r2_hidden(A,a_0_16_fraenkel))) # label(fraenkel_a_0_16_fraenkel) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2978 $T # label(dt_k3_numbers) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2979 $T # label(dt_k4_numbers) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2980 $T # label(dt_k2_numbers) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2981 $T # label(dt_k1_numbers) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2982 (all A ((exists B (m1_subset_1(B,k1_funct_2(k2_tarski(np__0,k13_arytm_3),k1_numbers)) & B = A & k1_funct_1(B,k13_arytm_3) = np__0)) <-> r2_hidden(A,a_0_0_numbers))) # label(fraenkel_a_0_0_numbers) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2983 (all A (-v3_xreal_0(A) & v1_xreal_0(A) -> -v3_xreal_0(k5_xcmplx_0(A)) & v1_xreal_0(k5_xcmplx_0(A)) & v1_xcmplx_0(k5_xcmplx_0(A)))) # label(fc26_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2984 (all A all B (v1_xreal_0(B) & -v2_xreal_0(B) & -v3_xreal_0(A) & v1_xreal_0(A) -> -v3_xreal_0(k6_xcmplx_0(A,B)) & v1_xreal_0(k6_xcmplx_0(A,B)) & v1_xcmplx_0(k6_xcmplx_0(A,B)))) # label(fc15_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2985 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) & v2_xreal_0(A) -> v1_xcmplx_0(k6_xcmplx_0(B,A)) & v1_xreal_0(k6_xcmplx_0(B,A)) & -v2_xreal_0(k6_xcmplx_0(B,A)) & v3_xreal_0(k6_xcmplx_0(B,A)) & -v1_xboole_0(k6_xcmplx_0(B,A)))) # label(fc18_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2986 (all A (v1_xreal_0(A) & -v2_xreal_0(A) -> v1_xreal_0(k5_xcmplx_0(A)) & -v2_xreal_0(k5_xcmplx_0(A)) & v1_xcmplx_0(k5_xcmplx_0(A)))) # label(fc25_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2987 (all A all B (v1_xreal_0(B) & v1_xreal_0(A) -> v1_xcmplx_0(k2_xcmplx_0(A,B)) & v1_xreal_0(k2_xcmplx_0(A,B)))) # label(fc3_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2988 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r2_hidden(B,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) & r2_hidden(A,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) -> ((exists C (m1_subset_1(C,k2_arytm_2) & (exists D (B = k4_tarski(np__0,D) & r1_arytm_2(D,C) & A = k4_tarski(np__0,C) & m1_subset_1(D,k2_arytm_2))))) <-> r1_xreal_0(A,B))) & -(-(r1_xreal_0(A,B) <-> r2_hidden(B,k2_arytm_2) & r2_hidden(A,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))) & -(r2_hidden(B,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2)) & r2_hidden(A,k2_zfmisc_1(k1_tarski(np__0),k2_arytm_2))) & -(r2_hidden(A,k2_arytm_2) & r2_hidden(B,k2_arytm_2))) & (r2_hidden(B,k2_arytm_2) & r2_hidden(A,k2_arytm_2) -> (r1_xreal_0(A,B) <-> (exists C (m1_subset_1(C,k2_arytm_2) & (exists D (C = A & D = B & r1_arytm_2(C,D) & m1_subset_1(D,k2_arytm_2))))))))))) # label(d2_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2989 (all A all B (-v3_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) & v1_xreal_0(A) -> v1_xreal_0(k7_xcmplx_0(A,B)) & -v2_xreal_0(k7_xcmplx_0(A,B)) & v1_xcmplx_0(k7_xcmplx_0(A,B)))) # label(fc27_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2990 (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]. 26.06/25.48 2991 (exists A (v1_xboole_0(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & -v2_xreal_0(A) & -v3_xreal_0(A))) # label(rc4_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2992 (all A (-v3_xreal_0(A) & -v2_xreal_0(A) & v1_xreal_0(A) -> v1_xcmplx_0(A) & v1_xreal_0(A) & v1_xboole_0(A))) # label(cc8_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2993 (all A all B (v3_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) & v1_xreal_0(A) -> v1_xcmplx_0(k2_xcmplx_0(A,B)) & -v2_xreal_0(k2_xcmplx_0(A,B)) & v3_xreal_0(k2_xcmplx_0(A,B)) & v1_xreal_0(k2_xcmplx_0(A,B)) & -v1_xboole_0(k2_xcmplx_0(A,B)))) # label(fc11_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2994 (all A (v1_xreal_0(A) -> v1_xcmplx_0(A))) # label(cc2_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2995 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) & -v2_xreal_0(B) & -v2_xreal_0(A) -> -v3_xreal_0(k3_xcmplx_0(A,B)) & v1_xreal_0(k3_xcmplx_0(A,B)) & v1_xcmplx_0(k3_xcmplx_0(A,B)))) # label(fc23_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2996 (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]. 26.06/25.48 2997 (all A (v2_xreal_0(A) & v1_xreal_0(A) -> -v1_xboole_0(A) & v1_xcmplx_0(A) & -v3_xreal_0(A) & v1_xreal_0(A))) # label(cc3_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2998 (all A (v1_xreal_0(A) & -v3_xreal_0(A) -> v1_xreal_0(k4_xcmplx_0(A)) & -v2_xreal_0(k4_xcmplx_0(A)) & v1_xcmplx_0(k4_xcmplx_0(A)))) # label(fc14_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 2999 (all A (-v1_xboole_0(A) & v1_xreal_0(A) & -v3_xreal_0(A) -> v2_xreal_0(A) & v1_xreal_0(A) & v1_xcmplx_0(A))) # label(cc4_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3000 (all A (v1_xreal_0(A) -> (v2_xreal_0(A) <-> -r1_xreal_0(A,np__0)))) # label(d3_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3001 (all A all B (-v3_xreal_0(A) & v1_xreal_0(B) & -v3_xreal_0(B) & v1_xreal_0(A) -> -v3_xreal_0(k3_xcmplx_0(A,B)) & v1_xreal_0(k3_xcmplx_0(A,B)) & v1_xcmplx_0(k3_xcmplx_0(A,B)))) # label(fc24_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3002 (all A all B (-v2_xreal_0(B) & v1_xreal_0(B) & -v3_xreal_0(A) & v1_xreal_0(A) -> v1_xcmplx_0(k7_xcmplx_0(B,A)) & 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]. 26.06/25.48 3003 (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]. 26.06/25.48 3004 (all A all B (v1_xreal_0(B) & v1_xreal_0(A) -> v1_xcmplx_0(k3_xcmplx_0(A,B)) & v1_xreal_0(k3_xcmplx_0(A,B)))) # label(fc4_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3005 (all A all B (v1_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) & v3_xreal_0(A) -> -v2_xreal_0(k2_xcmplx_0(B,A)) & v3_xreal_0(k2_xcmplx_0(B,A)) & v1_xreal_0(k2_xcmplx_0(B,A)) & v1_xcmplx_0(k2_xcmplx_0(B,A)) & -v1_xboole_0(k2_xcmplx_0(B,A)))) # label(fc12_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3006 (all A (v4_ordinal2(A) -> v1_xreal_0(A))) # label(cc1_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3007 (all A all B (v1_xreal_0(A) & -v2_xreal_0(A) & v1_xreal_0(B) & -v3_xreal_0(B) -> v1_xcmplx_0(k3_xcmplx_0(B,A)) & v1_xreal_0(k3_xcmplx_0(B,A)) & -v2_xreal_0(k3_xcmplx_0(B,A)))) # label(fc22_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3008 (all A (-v2_xreal_0(A) & v1_xreal_0(A) -> -v3_xreal_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A)) & v1_xcmplx_0(k4_xcmplx_0(A)))) # label(fc13_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3009 (all A all B (v1_xreal_0(A) & -v3_xreal_0(B) & v1_xreal_0(B) & v3_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(fc19_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3010 (exists A (v1_xreal_0(A) & -v2_xreal_0(A) & v3_xreal_0(A) & v1_xcmplx_0(A) & -v1_xboole_0(A))) # label(rc3_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3011 (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]. 26.06/25.48 3012 (all A all B (-v3_xreal_0(A) & -v3_xreal_0(B) & v1_xreal_0(B) & v1_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]. 26.06/25.48 3013 (all A (v1_xreal_0(A) -> v1_xreal_0(k4_xcmplx_0(A)) & v1_xcmplx_0(k4_xcmplx_0(A)))) # label(fc1_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3014 (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(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]. 26.06/25.48 3015 (all A all B (v1_xreal_0(B) & -v2_xreal_0(B) & -v2_xreal_0(A) & v1_xreal_0(A) -> v1_xcmplx_0(k2_xcmplx_0(A,B)) & -v2_xreal_0(k2_xcmplx_0(A,B)) & v1_xreal_0(k2_xcmplx_0(A,B)))) # label(fc8_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3016 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> r1_xreal_0(B,A) | r1_xreal_0(A,B))) # label(connectedness_r1_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3017 (all A (v3_xreal_0(A) & v1_xreal_0(A) -> -v1_xboole_0(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & -v2_xreal_0(A))) # label(cc5_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3018 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> v1_xcmplx_0(k7_xcmplx_0(A,B)) & v1_xreal_0(k7_xcmplx_0(A,B)))) # label(fc6_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3019 (all A (-v1_xboole_0(A) & -v2_xreal_0(A) & v1_xreal_0(A) -> v1_xcmplx_0(A) & v1_xreal_0(A) & v3_xreal_0(A))) # label(cc6_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3020 (all A all B (v1_xreal_0(A) & -v3_xreal_0(B) & v1_xreal_0(B) & v2_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]. 26.06/25.48 3021 (all A all B (v1_xreal_0(B) & v1_xreal_0(A) -> v1_xreal_0(k6_xcmplx_0(A,B)) & v1_xcmplx_0(k6_xcmplx_0(A,B)))) # label(fc5_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3022 (all A all B (v3_xreal_0(A) & -v3_xreal_0(B) & v1_xreal_0(B) & v1_xreal_0(A) -> -v1_xboole_0(k6_xcmplx_0(B,A)) & v1_xcmplx_0(k6_xcmplx_0(B,A)) & v1_xreal_0(k6_xcmplx_0(B,A)) & v2_xreal_0(k6_xcmplx_0(B,A)) & -v3_xreal_0(k6_xcmplx_0(B,A)))) # label(fc20_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3023 (exists A (v1_xcmplx_0(A) & v2_xreal_0(A) & -v3_xreal_0(A) & v1_xreal_0(A) & -v1_xboole_0(A))) # label(rc2_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3024 (all A all B (v1_xreal_0(A) & -v2_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) -> v1_xcmplx_0(k7_xcmplx_0(A,B)) & v1_xreal_0(k7_xcmplx_0(A,B)) & -v3_xreal_0(k7_xcmplx_0(A,B)))) # label(fc30_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3025 (exists A (v1_xcmplx_0(A) & v1_xreal_0(A))) # label(rc1_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3026 (all A (v1_xreal_0(A) & v1_xboole_0(A) -> v1_xreal_0(A) & -v2_xreal_0(A) & -v3_xreal_0(A) & v1_xcmplx_0(A))) # label(cc7_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3027 (all A all B (v1_xreal_0(A) & v2_xreal_0(A) & -v2_xreal_0(B) & v1_xreal_0(B) -> -v1_xboole_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_xcmplx_0(k6_xcmplx_0(A,B)))) # label(fc17_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3028 (all A all B (-v3_xreal_0(B) & v1_xreal_0(B) & -v2_xreal_0(A) & v1_xreal_0(A) -> v1_xcmplx_0(k3_xcmplx_0(A,B)) & v1_xreal_0(k3_xcmplx_0(A,B)) & -v2_xreal_0(k3_xcmplx_0(A,B)))) # label(fc21_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3029 (all A all B (v1_xreal_0(A) & v2_xreal_0(A) & v1_xreal_0(B) & -v3_xreal_0(B) -> -v1_xboole_0(k2_xcmplx_0(B,A)) & v1_xreal_0(k2_xcmplx_0(B,A)) & v2_xreal_0(k2_xcmplx_0(B,A)) & -v3_xreal_0(k2_xcmplx_0(B,A)) & v1_xcmplx_0(k2_xcmplx_0(B,A)))) # label(fc10_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3030 (all A (v1_xreal_0(A) <-> r2_hidden(A,k1_numbers))) # label(d1_xreal_0) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3031 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (k1_real_1(np__1) = B & k1_real_1(np__1) = A | B = np__1 & np__1 = A <-> k3_xcmplx_0(A,B) = np__1))))) # label(t22_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3032 (all A all B (v1_int_1(B) & m1_subset_1(A,k5_numbers) -> v1_int_1(k3_xcmplx_0(B,A)) & v1_xreal_0(k3_xcmplx_0(B,A)) & v1_xcmplx_0(k3_xcmplx_0(B,A)))) # label(fc7_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3033 (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]. 26.06/25.48 3034 $T # label(t73_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3035 $T # label(t15_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3036 $T # label(t9_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3037 (exists A (m1_subset_1(A,k1_numbers) & v1_xcmplx_0(A) & v1_int_1(A) & v1_xreal_0(A))) # label(rc1_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3038 (all A (v1_xreal_0(A) -> (all B (v4_ordinal2(B) -> (A = k4_xcmplx_0(B) | A = B -> v1_int_1(A)))))) # label(t7_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3039 $T # label(t11_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3040 (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]. 26.06/25.48 3041 (all A all B (v1_int_1(A) & v1_int_1(B) -> v1_int_1(k6_int_1(A,B)))) # label(dt_k6_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3042 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (r1_int_1(k6_xcmplx_0(A,C),B,C) <-> r1_int_1(A,B,C)))))))) # label(t43_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3043 (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]. 26.06/25.48 3044 $T # label(dt_k3_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3045 $T # label(t14_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3046 (all A (A = k4_numbers <-> (all B (r2_hidden(B,A) <-> -(all C (m2_subset_1(C,k1_numbers,k5_numbers) -> B != C & B != k1_real_1(C))))))) # label(d1_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3047 $T # label(t2_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3048 (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]. 26.06/25.48 3049 $T # label(t5_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3050 $T # label(t56_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3051 $T # label(t10_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3052 $T # label(t3_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3053 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (all D (v1_int_1(D) -> (all E (v1_int_1(E) -> (r1_int_1(D,E,C) & k3_xcmplx_0(A,B) = C -> r1_int_1(D,E,A)))))))))))) # label(t41_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3054 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) -> p1_s3_int_1(k6_xcmplx_0(A,np__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]. 26.06/25.48 3055 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> (k2_int_1(A) = B <-> -r1_xreal_0(k2_xcmplx_0(A,np__1),B) & r1_xreal_0(A,B)))))) # label(d5_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3056 (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]. 26.06/25.48 3057 (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]. 26.06/25.48 3058 (exists A ((all B (v1_int_1(B) -> (r2_hidden(B,A) <-> p1_s1_int_1(B)))) & m1_subset_1(A,k1_zfmisc_1(k4_numbers)))) # label(s1_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3059 (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(k2_xcmplx_0(A,B),C,D) <-> r1_int_1(A,k6_xcmplx_0(C,B),D)))))))))) # label(t40_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3060 $T # label(t4_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3061 (all A (v1_xreal_0(A) -> -r1_xreal_0(k2_xcmplx_0(k2_int_1(A),np__1),A) & -r1_xreal_0(k2_int_1(A),k6_xcmplx_0(A,np__1)))) # label(t57_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3062 (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]. 26.06/25.48 3063 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (k3_xcmplx_0(A,B) = k1_real_1(np__1) <-> np__1 = A & B = k1_real_1(np__1) | k1_real_1(np__1) = A & B = np__1))))) # label(t23_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3064 (all A (v1_xreal_0(A) -> A = k2_xcmplx_0(k1_int_1(A),k4_int_1(A)))) # label(t68_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3065 (all A (v1_xreal_0(A) -> -(v1_int_1(A) & -r1_xreal_0(k4_int_1(A),np__0)) & -(r1_xreal_0(k4_int_1(A),np__0) & -v1_int_1(A)))) # label(t72_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3066 (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]. 26.06/25.48 3067 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> k1_int_1(k7_xcmplx_0(A,B)) = k5_int_1(A,B))))) # label(d7_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3068 p1_s2_int_1(f1_s2_int_1) & (all A (v1_int_1(A) -> (p1_s2_int_1(A) & r1_xreal_0(f1_s2_int_1,A) -> p1_s2_int_1(k2_xcmplx_0(A,np__1))))) -> (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]. 26.06/25.48 3069 $T # label(t49_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3070 (all A (v1_xreal_0(A) -> v1_int_1(k1_int_1(A)))) # label(dt_k1_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3071 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (r2_int_1(A,B) <-> (exists C (v1_int_1(C) & B = k3_xcmplx_0(A,C)))))))) # label(d9_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3072 (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]. 26.06/25.48 3073 (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(C,k6_xcmplx_0(A,np__1)) | C = B | r1_xreal_0(B,k6_xcmplx_0(A,np__1))))))))) # label(t44_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3074 (exists A v1_int_1(A)) # label(rc2_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3075 (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(B,D,C) & r1_int_1(A,B,C) -> r1_int_1(A,D,C)))))))))) # label(t36_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3076 (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]. 26.06/25.48 3077 $T # label(t46_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3078 (all A (v1_xreal_0(A) -> k1_int_1(A) = k1_int_1(k1_int_1(A)))) # label(t63_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3079 (all A (m1_subset_1(A,k5_numbers) -> v1_ordinal1(A) & v3_ordinal1(A) & v4_ordinal2(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & -v3_xreal_0(A) & v1_int_1(A) & v2_ordinal1(A))) # label(cc2_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3080 $T # label(t53_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3081 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k5_numbers) -> v1_xreal_0(k6_xcmplx_0(A,B)) & v1_int_1(k6_xcmplx_0(A,B)) & v1_xcmplx_0(k6_xcmplx_0(A,B)))) # label(fc9_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3082 $T # label(t13_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3083 $T # label(t6_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3084 (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]. 26.06/25.48 3085 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (B = np__0 -> k6_int_1(A,B) = np__0) & (np__0 != B -> k6_int_1(A,B) = k6_xcmplx_0(A,k3_xcmplx_0(k5_int_1(A,B),B))))))) # label(d8_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3086 (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]. 26.06/25.48 3087 (all A all B (v1_int_1(A) & v1_int_1(B) -> r2_int_1(A,A))) # label(reflexivity_r2_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3088 (all A (v1_xreal_0(A) -> (v1_int_1(A) -> v1_int_1(k6_xcmplx_0(A,np__1)) & v1_int_1(k2_xcmplx_0(A,np__1))))) # label(t17_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3089 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (k2_xcmplx_0(B,A) = C -> r1_xreal_0(B,C)))))))) # label(t19_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3090 (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]. 26.06/25.48 3091 (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]. 26.06/25.48 3092 (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]. 26.06/25.48 3093 $T # label(t26_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3094 (all A all B (v1_int_1(B) & v1_int_1(A) -> 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]. 26.06/25.48 3095 (all A all B (v1_int_1(B) & v1_int_1(A) -> v1_int_1(k3_xcmplx_0(A,B)) & v1_xreal_0(k3_xcmplx_0(A,B)) & v1_xcmplx_0(k3_xcmplx_0(A,B)))) # label(fc2_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3096 (all A (v1_xreal_0(A) -> (v1_int_1(A) <-> k2_int_1(A) = k1_int_1(A)))) # label(t59_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3097 (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]. 26.06/25.48 3098 (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]. 26.06/25.48 3099 $T # label(t24_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3100 (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]. 26.06/25.48 3101 (all A (v1_xreal_0(A) -> (k2_xcmplx_0(k1_int_1(A),np__1) != k2_int_1(A) <-> k1_int_1(A) = k2_int_1(A)))) # label(t66_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3102 $T # label(t31_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3103 (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]. 26.06/25.48 3104 (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]. 26.06/25.48 3105 $T # label(t25_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3106 (all A (v1_xreal_0(A) -> -(v1_int_1(A) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k1_real_1(B) != A & A != B))))) # label(t8_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3107 (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]. 26.06/25.48 3108 (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]. 26.06/25.48 3109 (all A (v1_xreal_0(A) -> k2_int_1(k2_int_1(A)) = k2_int_1(A))) # label(t64_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3110 (all A (v1_int_1(A) -> (np__0 != A -> k5_int_1(A,A) = np__1))) # label(t76_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3111 $T # label(t29_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3112 (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]. 26.06/25.48 3113 (all A (m1_subset_1(A,k4_numbers) -> v1_int_1(A))) # label(cc1_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3114 (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]. 26.06/25.48 3115 (all A (v1_int_1(A) -> v1_xcmplx_0(A) & v1_xreal_0(A))) # label(cc4_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3116 p1_s4_int_1(f1_s4_int_1) & (all A (v1_int_1(A) -> (p1_s4_int_1(A) -> p1_s4_int_1(k6_xcmplx_0(A,np__1)) & p1_s4_int_1(k2_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]. 26.06/25.48 3117 (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]. 26.06/25.48 3118 $T # label(t28_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3119 $T # label(t27_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3120 (all A (v1_xreal_0(A) -> -(-r1_xreal_0(k2_int_1(A),A) & v1_int_1(A)) & -(-v1_int_1(A) & r1_xreal_0(k2_int_1(A),A)))) # label(t55_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3121 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> ((exists D (k3_xcmplx_0(C,D) = k6_xcmplx_0(A,B) & v1_int_1(D))) <-> r1_int_1(A,B,C)))))))) # label(d3_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3122 (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]. 26.06/25.48 3123 (all A (v1_int_1(A) -> np__0 = k5_int_1(A,np__0))) # label(t75_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3124 (all A (v1_xreal_0(A) -> v1_int_1(k2_int_1(A)))) # label(dt_k2_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3125 (exists A (p1_s6_int_1(A) & v1_int_1(A))) & (all A (v1_int_1(A) -> (p1_s6_int_1(A) -> r1_xreal_0(A,f1_s6_int_1)))) -> (exists A ((all B (v1_int_1(B) -> (p1_s6_int_1(B) -> r1_xreal_0(B,A)))) & p1_s6_int_1(A) & v1_int_1(A))) # label(s6_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3126 $T # label(t67_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3127 (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]. 26.06/25.48 3128 (all A (v1_xreal_0(A) -> k3_int_1(A) = k6_xcmplx_0(A,k1_int_1(A)))) # label(d6_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3129 (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]. 26.06/25.48 3130 (all A (v1_xreal_0(A) -> (r1_xreal_0(np__0,A) -> r1_xreal_0(np__0,k2_int_1(A)) & m2_subset_1(k1_int_1(A),k1_numbers,k5_numbers) & m2_subset_1(k2_int_1(A),k1_numbers,k5_numbers) & r1_xreal_0(np__0,k1_int_1(A))))) # label(t80_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3131 (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]. 26.06/25.48 3132 $T # label(t30_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3133 $T # label(t1_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3134 (all A (v1_int_1(A) -> v1_int_1(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A)) & v1_xcmplx_0(k4_xcmplx_0(A)))) # label(fc3_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3135 (all A (v4_ordinal2(A) -> v1_int_1(A))) # label(cc3_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3136 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (r1_xreal_0(A,C) & r1_xreal_0(A,B) -> r1_xreal_0(k2_xcmplx_0(A,np__1),B) | r1_xreal_0(k2_xcmplx_0(A,np__1),C) | C = B))))))) # label(t45_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3137 (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]. 26.06/25.48 3138 $T # label(t12_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3139 (all A (v1_xreal_0(A) -> (A != np__0 -> np__1 = k1_int_1(k7_xcmplx_0(A,A))))) # label(t74_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3140 (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]. 26.06/25.48 3141 (all A (v1_int_1(A) -> np__0 = k6_int_1(A,A))) # label(t77_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3142 (all A (r2_hidden(A,k4_numbers) <-> v1_int_1(A))) # label(d2_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3143 (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]. 26.06/25.48 3144 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> -(-r1_xreal_0(B,A) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(C = k6_xcmplx_0(B,A) & r1_xreal_0(np__1,C))))))))) # label(t78_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3145 (all A (v1_xreal_0(A) -> -(r1_xreal_0(k2_int_1(A),k1_int_1(A)) & -v1_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]. 26.06/25.48 3146 (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]. 26.06/25.48 3147 (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]. 26.06/25.48 3148 (all A (v1_xreal_0(A) -> (all B (v1_int_1(B) -> (-r1_xreal_0(B,k6_xcmplx_0(A,np__1)) & r1_xreal_0(B,A) <-> B = k1_int_1(A)))))) # label(d4_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3149 (all A (v1_xreal_0(A) -> (A = k2_int_1(A) <-> v1_int_1(A)))) # label(t54_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3150 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (r1_int_1(k2_xcmplx_0(A,C),B,C) <-> r1_int_1(A,B,C)))))))) # label(t42_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3151 (exists A (v1_int_1(A) & p1_s5_int_1(A))) & (all A (v1_int_1(A) -> (p1_s5_int_1(A) -> r1_xreal_0(f1_s5_int_1,A)))) -> (exists A (v1_int_1(A) & (all B (v1_int_1(B) -> (p1_s5_int_1(B) -> r1_xreal_0(A,B)))) & p1_s5_int_1(A))) # label(s5_int_1) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3152 (all A all B (m1_subset_1(A,k3_numbers) & m1_subset_1(B,k3_numbers) -> m1_subset_1(k17_binop_2(A,B),k3_numbers))) # label(dt_k17_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3153 (all A (v1_funct_1(A) & m2_relset_1(A,k3_numbers,k3_numbers) & v1_funct_2(A,k3_numbers,k3_numbers) -> ((all B (m1_subset_1(B,k3_numbers) -> k14_binop_2(B) = k8_funct_2(k3_numbers,k3_numbers,A,B))) <-> k38_binop_2 = A))) # label(d14_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3154 (all A (m2_relset_1(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & v1_funct_2(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k2_numbers) -> (all C (m1_subset_1(C,k2_numbers) -> k2_binop_1(k2_numbers,k2_numbers,k2_numbers,A,B,C) = k4_binop_2(B,C))))) <-> A = k28_binop_2))) # label(d4_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3155 (all A (v1_funct_1(A) & m2_relset_1(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & v1_funct_2(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) -> (A = k30_binop_2 <-> (all B (m1_subset_1(B,k2_numbers) -> (all C (m1_subset_1(C,k2_numbers) -> k6_binop_2(B,C) = k2_binop_1(k2_numbers,k2_numbers,k2_numbers,A,B,C)))))))) # label(d6_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3156 (all A all B (m1_subset_1(B,k4_numbers) & m1_subset_1(A,k4_numbers) -> k22_binop_2(A,B) = k22_binop_2(B,A))) # label(commutativity_k22_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3157 (all A (m1_subset_1(A,k2_numbers) -> k4_xcmplx_0(A) = k1_binop_2(A))) # label(redefinition_k1_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3158 (all A (m1_subset_1(A,k1_numbers) -> k8_binop_2(A) = k5_xcmplx_0(A))) # label(redefinition_k8_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3159 (all A (v1_funct_1(A) & m2_relset_1(A,f1_s1_binop_2,f2_s1_binop_2) & v1_funct_2(A,f1_s1_binop_2,f2_s1_binop_2) -> (all B (v1_funct_1(B) & v1_funct_2(B,f1_s1_binop_2,f2_s1_binop_2) & m2_relset_1(B,f1_s1_binop_2,f2_s1_binop_2) -> ((all C (m1_subset_1(C,f1_s1_binop_2) -> f3_s1_binop_2(C) = k8_funct_2(f1_s1_binop_2,f2_s1_binop_2,B,C))) & (all C (m1_subset_1(C,f1_s1_binop_2) -> f3_s1_binop_2(C) = k8_funct_2(f1_s1_binop_2,f2_s1_binop_2,A,C))) -> A = B))))) # label(s1_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3160 (all A all B (m1_subset_1(B,k4_numbers) & m1_subset_1(A,k4_numbers) -> k21_binop_2(A,B) = k6_xcmplx_0(A,B))) # label(redefinition_k21_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3161 (all A all B (m1_subset_1(B,k5_numbers) & m1_subset_1(A,k5_numbers) -> k3_xcmplx_0(A,B) = k24_binop_2(A,B))) # label(redefinition_k24_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3162 (all A (v1_funct_1(A) & m2_relset_1(A,k2_zfmisc_1(k5_numbers,k5_numbers),k5_numbers) & v1_funct_2(A,k2_zfmisc_1(k5_numbers,k5_numbers),k5_numbers) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k24_binop_2(B,C) = k2_binop_1(k5_numbers,k5_numbers,k5_numbers,A,B,C))))) <-> A = k48_binop_2))) # label(d24_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3163 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> m1_subset_1(k12_binop_2(A,B),k1_numbers))) # label(dt_k12_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.48 3164 (all A (m2_relset_1(A,k2_numbers,k2_numbers) & v1_funct_2(A,k2_numbers,k2_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k2_numbers) -> k8_funct_2(k2_numbers,k2_numbers,A,B) = k2_binop_2(B))) <-> k26_binop_2 = A))) # label(d2_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3165 (all A all B (m1_subset_1(A,k3_numbers) & m1_subset_1(B,k3_numbers) -> k16_binop_2(A,B) = k6_xcmplx_0(A,B))) # label(redefinition_k16_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3166 (all A all B (m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) -> k10_binop_2(A,B) = k6_xcmplx_0(A,B))) # label(redefinition_k10_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3167 (all A (v1_funct_2(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & m2_relset_1(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k3_numbers) -> (all C (m1_subset_1(C,k3_numbers) -> k2_binop_1(k3_numbers,k3_numbers,k3_numbers,A,B,C) = k16_binop_2(B,C))))) <-> A = k40_binop_2))) # label(d16_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3168 (all A (m1_subset_1(A,k3_numbers) -> k14_binop_2(A) = k5_xcmplx_0(A))) # label(redefinition_k14_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3169 (all A all B (m1_subset_1(A,k3_numbers) & m1_subset_1(B,k3_numbers) -> k2_xcmplx_0(A,B) = k15_binop_2(A,B))) # label(redefinition_k15_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3170 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> m1_subset_1(k10_binop_2(A,B),k1_numbers))) # label(dt_k10_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3171 (all A all B (m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) -> k11_binop_2(A,B) = k3_xcmplx_0(A,B))) # label(redefinition_k11_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3172 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> k5_binop_2(A,B) = k5_binop_2(B,A))) # label(commutativity_k5_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3173 (all A (v1_funct_1(A) & m2_relset_1(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & v1_funct_2(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) -> ((all B (m1_subset_1(B,k3_numbers) -> (all C (m1_subset_1(C,k3_numbers) -> k2_binop_1(k3_numbers,k3_numbers,k3_numbers,A,B,C) = k18_binop_2(B,C))))) <-> A = k42_binop_2))) # label(d18_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3174 (all A (v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m2_relset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> k2_binop_1(k1_numbers,k1_numbers,k1_numbers,A,B,C) = k9_binop_2(B,C))))) <-> A = k33_binop_2))) # label(d9_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3175 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> k3_binop_2(B,A) = k3_binop_2(A,B))) # label(commutativity_k3_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3176 (all A (m1_subset_1(A,k1_numbers) -> m1_subset_1(k8_binop_2(A),k1_numbers))) # label(dt_k8_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3177 (all A (m1_subset_1(A,k1_numbers) -> k4_xcmplx_0(A) = k7_binop_2(A))) # label(redefinition_k7_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3178 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k5_numbers) -> k23_binop_2(B,A) = k23_binop_2(A,B))) # label(commutativity_k23_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3179 (all A (m2_relset_1(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & v1_funct_2(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k3_numbers) -> (all C (m1_subset_1(C,k3_numbers) -> k2_binop_1(k3_numbers,k3_numbers,k3_numbers,A,B,C) = k15_binop_2(B,C))))) <-> k39_binop_2 = A))) # label(d15_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.06/25.49 3180 (all A (m2_relset_1(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & v1_funct_2(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & v1_funct_1(A) -> (A = k44_binop_2 <-> (all B (m1_subset_1(B,k4_numbers) -> (all C (m1_subset_1(C,k4_numbers) -> k20_binop_2(B,C) = k2_binop_1(k4_numbers,k4_numbers,k4_numbers,A,B,C)))))))) # label(d20_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3181 (all A (v1_funct_2(A,k2_zfmisc_1(k5_numbers,k5_numbers),k5_numbers) & m2_relset_1(A,k2_zfmisc_1(k5_numbers,k5_numbers),k5_numbers) & v1_funct_1(A) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k23_binop_2(B,C) = k2_binop_1(k5_numbers,k5_numbers,k5_numbers,A,B,C))))) <-> A = k47_binop_2))) # label(d23_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3182 (all A all B (m1_subset_1(A,k3_numbers) & m1_subset_1(B,k3_numbers) -> m1_subset_1(k16_binop_2(A,B),k3_numbers))) # label(dt_k16_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3183 (all A all B (m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) -> k2_xcmplx_0(A,B) = k9_binop_2(A,B))) # label(redefinition_k9_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3184 (all A all B (m1_subset_1(B,k5_numbers) & m1_subset_1(A,k5_numbers) -> k2_xcmplx_0(A,B) = k23_binop_2(A,B))) # label(redefinition_k23_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3185 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> m1_subset_1(k18_binop_2(A,B),k3_numbers))) # label(dt_k18_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3186 (all A all B (m1_subset_1(A,k1_numbers) & m1_subset_1(B,k1_numbers) -> k11_binop_2(A,B) = k11_binop_2(B,A))) # label(commutativity_k11_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3187 (all A (m1_subset_1(A,k1_numbers) -> m1_subset_1(k7_binop_2(A),k1_numbers))) # label(dt_k7_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3188 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> m1_subset_1(k9_binop_2(A,B),k1_numbers))) # label(dt_k9_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3189 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> k18_binop_2(A,B) = k7_xcmplx_0(A,B))) # label(redefinition_k18_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3190 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> m1_subset_1(k5_binop_2(A,B),k2_numbers))) # label(dt_k5_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3191 (all A (m2_relset_1(A,k3_numbers,k3_numbers) & v1_funct_2(A,k3_numbers,k3_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k3_numbers) -> k13_binop_2(B) = k8_funct_2(k3_numbers,k3_numbers,A,B))) <-> k37_binop_2 = A))) # label(d13_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3192 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> k2_xcmplx_0(A,B) = k3_binop_2(A,B))) # label(redefinition_k3_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3193 (all A all B (m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) -> m1_subset_1(k20_binop_2(A,B),k4_numbers))) # label(dt_k20_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3194 (all A (v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & m2_relset_1(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) -> (A = k27_binop_2 <-> (all B (m1_subset_1(B,k2_numbers) -> (all C (m1_subset_1(C,k2_numbers) -> k2_binop_1(k2_numbers,k2_numbers,k2_numbers,A,B,C) = k3_binop_2(B,C)))))))) # label(d3_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3195 (all A (m1_subset_1(A,k1_numbers) -> k8_binop_2(k8_binop_2(A)) = A)) # label(involutiveness_k8_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3196 (all A (m1_subset_1(A,k3_numbers) -> m1_subset_1(k14_binop_2(A),k3_numbers))) # label(dt_k14_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3197 (all A (v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m2_relset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) -> ((all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> k11_binop_2(B,C) = k2_binop_1(k1_numbers,k1_numbers,k1_numbers,A,B,C))))) <-> A = k35_binop_2))) # label(d11_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3198 (all A (v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) & m2_relset_1(A,k2_zfmisc_1(k2_numbers,k2_numbers),k2_numbers) -> ((all B (m1_subset_1(B,k2_numbers) -> (all C (m1_subset_1(C,k2_numbers) -> k2_binop_1(k2_numbers,k2_numbers,k2_numbers,A,B,C) = k5_binop_2(B,C))))) <-> k29_binop_2 = A))) # label(d5_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3199 (all A all B (m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) -> k20_binop_2(A,B) = k20_binop_2(B,A))) # label(commutativity_k20_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3200 (all A (v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) & m2_relset_1(A,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers) -> (A = k41_binop_2 <-> (all B (m1_subset_1(B,k3_numbers) -> (all C (m1_subset_1(C,k3_numbers) -> k17_binop_2(B,C) = k2_binop_1(k3_numbers,k3_numbers,k3_numbers,A,B,C)))))))) # label(d17_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3201 (all A (m1_subset_1(A,k2_numbers) -> A = k2_binop_2(k2_binop_2(A)))) # label(involutiveness_k2_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3202 (all A (m1_subset_1(A,k3_numbers) -> m1_subset_1(k13_binop_2(A),k3_numbers))) # label(dt_k13_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3203 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> k17_binop_2(A,B) = k17_binop_2(B,A))) # label(commutativity_k17_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3204 (all A (m1_subset_1(A,k2_numbers) -> m1_subset_1(k1_binop_2(A),k2_numbers))) # label(dt_k1_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3205 (all A (m1_subset_1(A,k2_numbers) -> A = k1_binop_2(k1_binop_2(A)))) # label(involutiveness_k1_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3206 (all A (v1_funct_2(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & m2_relset_1(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k4_numbers) -> (all C (m1_subset_1(C,k4_numbers) -> k21_binop_2(B,C) = k2_binop_1(k4_numbers,k4_numbers,k4_numbers,A,B,C))))) <-> k45_binop_2 = A))) # label(d21_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3207 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k5_numbers) -> m2_subset_1(k23_binop_2(A,B),k1_numbers,k5_numbers))) # label(dt_k23_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3208 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> m1_subset_1(k3_binop_2(A,B),k2_numbers))) # label(dt_k3_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3209 (all A (m1_subset_1(A,k3_numbers) -> A = k13_binop_2(k13_binop_2(A)))) # label(involutiveness_k13_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3210 (all A (m1_subset_1(A,k3_numbers) -> v1_xreal_0(A) & v1_rat_1(A) & v1_xcmplx_0(A))) # label(cc1_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3211 (all A (m1_subset_1(A,k3_numbers) -> A = k14_binop_2(k14_binop_2(A)))) # label(involutiveness_k14_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3212 (all A (m1_subset_1(A,k4_numbers) -> m1_subset_1(k19_binop_2(A),k4_numbers))) # label(dt_k19_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3213 (all A (v1_funct_2(A,k1_numbers,k1_numbers) & m2_relset_1(A,k1_numbers,k1_numbers) & v1_funct_1(A) -> (k31_binop_2 = A <-> (all B (m1_subset_1(B,k1_numbers) -> k7_binop_2(B) = k8_funct_2(k1_numbers,k1_numbers,A,B)))))) # label(d7_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3214 (all A (v1_funct_2(A,k2_zfmisc_1(f1_s2_binop_2,f1_s2_binop_2),f1_s2_binop_2) & m2_relset_1(A,k2_zfmisc_1(f1_s2_binop_2,f1_s2_binop_2),f1_s2_binop_2) & v1_funct_1(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(f1_s2_binop_2,f1_s2_binop_2),f1_s2_binop_2) & v1_funct_2(B,k2_zfmisc_1(f1_s2_binop_2,f1_s2_binop_2),f1_s2_binop_2) & v1_funct_1(B) -> ((all C (m1_subset_1(C,f1_s2_binop_2) -> (all D (m1_subset_1(D,f1_s2_binop_2) -> f2_s2_binop_2(C,D) = k2_binop_1(f1_s2_binop_2,f1_s2_binop_2,f1_s2_binop_2,A,C,D))))) & (all C (m1_subset_1(C,f1_s2_binop_2) -> (all D (m1_subset_1(D,f1_s2_binop_2) -> f2_s2_binop_2(C,D) = k2_binop_1(f1_s2_binop_2,f1_s2_binop_2,f1_s2_binop_2,B,C,D))))) -> A = B))))) # label(s2_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3215 (all A (m1_subset_1(A,k2_numbers) -> m1_subset_1(k2_binop_2(A),k2_numbers))) # label(dt_k2_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3216 (all A all B (m1_subset_1(B,k3_numbers) & m1_subset_1(A,k3_numbers) -> m1_subset_1(k15_binop_2(A,B),k3_numbers))) # label(dt_k15_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3217 (all A (m1_subset_1(A,k4_numbers) -> A = k19_binop_2(k19_binop_2(A)))) # label(involutiveness_k19_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3218 (all A (v1_funct_2(A,k2_numbers,k2_numbers) & m2_relset_1(A,k2_numbers,k2_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k2_numbers) -> k8_funct_2(k2_numbers,k2_numbers,A,B) = k1_binop_2(B))) <-> A = k25_binop_2))) # label(d1_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3219 (all A all B (m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) -> m1_subset_1(k21_binop_2(A,B),k4_numbers))) # label(dt_k21_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3220 (all A (m1_subset_1(A,k3_numbers) -> k13_binop_2(A) = k4_xcmplx_0(A))) # label(redefinition_k13_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3221 (all A all B (m1_subset_1(B,k2_numbers) & m1_subset_1(A,k2_numbers) -> m1_subset_1(k6_binop_2(A,B),k2_numbers))) # label(dt_k6_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3222 (all A all B (m1_subset_1(A,k3_numbers) & m1_subset_1(B,k3_numbers) -> k3_xcmplx_0(A,B) = k17_binop_2(A,B))) # label(redefinition_k17_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3223 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k5_numbers) -> m2_subset_1(k24_binop_2(A,B),k1_numbers,k5_numbers))) # label(dt_k24_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3224 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> k7_xcmplx_0(A,B) = k6_binop_2(A,B))) # label(redefinition_k6_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3225 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> m1_subset_1(k4_binop_2(A,B),k2_numbers))) # label(dt_k4_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3226 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> k9_binop_2(A,B) = k9_binop_2(B,A))) # label(commutativity_k9_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3227 (all A (v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m2_relset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & v1_funct_1(A) -> (A = k36_binop_2 <-> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> k12_binop_2(B,C) = k2_binop_1(k1_numbers,k1_numbers,k1_numbers,A,B,C)))))))) # label(d12_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3228 (all A (v1_funct_1(A) & m2_relset_1(A,k4_numbers,k4_numbers) & v1_funct_2(A,k4_numbers,k4_numbers) -> ((all B (m1_subset_1(B,k4_numbers) -> k19_binop_2(B) = k8_funct_2(k4_numbers,k4_numbers,A,B))) <-> k43_binop_2 = A))) # label(d19_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3229 (all A all B (m1_subset_1(B,k4_numbers) & m1_subset_1(A,k4_numbers) -> k3_xcmplx_0(A,B) = k22_binop_2(A,B))) # label(redefinition_k22_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3230 (all A all B (m1_subset_1(B,k4_numbers) & m1_subset_1(A,k4_numbers) -> k20_binop_2(A,B) = k2_xcmplx_0(A,B))) # label(redefinition_k20_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3231 (all A (m2_relset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & v1_funct_1(A) -> (k34_binop_2 = A <-> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> k2_binop_1(k1_numbers,k1_numbers,k1_numbers,A,B,C) = k10_binop_2(B,C)))))))) # label(d10_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3232 (all A all B (m1_subset_1(A,k4_numbers) & m1_subset_1(B,k4_numbers) -> m1_subset_1(k22_binop_2(A,B),k4_numbers))) # label(dt_k22_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3233 (all A (v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & m2_relset_1(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) -> ((all B (m1_subset_1(B,k4_numbers) -> (all C (m1_subset_1(C,k4_numbers) -> k2_binop_1(k4_numbers,k4_numbers,k4_numbers,A,B,C) = k22_binop_2(B,C))))) <-> k46_binop_2 = A))) # label(d22_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3234 (all A (m1_subset_1(A,k4_numbers) -> k4_xcmplx_0(A) = k19_binop_2(A))) # label(redefinition_k19_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3235 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> k12_binop_2(A,B) = k7_xcmplx_0(A,B))) # label(redefinition_k12_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3236 (all A (m1_subset_1(A,k2_numbers) -> k2_binop_2(A) = k5_xcmplx_0(A))) # label(redefinition_k2_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3237 (all A (v1_funct_1(A) & v1_funct_2(A,k1_numbers,k1_numbers) & m2_relset_1(A,k1_numbers,k1_numbers) -> (A = k32_binop_2 <-> (all B (m1_subset_1(B,k1_numbers) -> k8_binop_2(B) = k8_funct_2(k1_numbers,k1_numbers,A,B)))))) # label(d8_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3238 (all A all B (m1_subset_1(B,k5_numbers) & m1_subset_1(A,k5_numbers) -> k24_binop_2(A,B) = k24_binop_2(B,A))) # label(commutativity_k24_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3239 (all A (m1_subset_1(A,k1_numbers) -> A = k7_binop_2(k7_binop_2(A)))) # label(involutiveness_k7_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3240 (all A all B (m1_subset_1(A,k3_numbers) & m1_subset_1(B,k3_numbers) -> k15_binop_2(B,A) = k15_binop_2(A,B))) # label(commutativity_k15_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3241 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> k3_xcmplx_0(A,B) = k5_binop_2(A,B))) # label(redefinition_k5_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3242 (all A all B (m1_subset_1(A,k2_numbers) & m1_subset_1(B,k2_numbers) -> k4_binop_2(A,B) = k6_xcmplx_0(A,B))) # label(redefinition_k4_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3243 (all A all B (m1_subset_1(B,k1_numbers) & m1_subset_1(A,k1_numbers) -> m1_subset_1(k11_binop_2(A,B),k1_numbers))) # label(dt_k11_binop_2) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3244 (all A (v3_membered(A) -> (all B (v3_membered(B) -> (r1_xboole_0(A,B) <-> (all C (v1_rat_1(C) -> -(r2_hidden(C,A) & r2_hidden(C,B))))))))) # label(d18_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3245 (all A all B all C (v1_xreal_0(A) & v1_xreal_0(C) & v1_xreal_0(B) -> v2_membered(k1_enumset1(A,B,C)) & v1_membered(k1_enumset1(A,B,C)))) # label(fc18_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3246 (all A (v1_int_1(A) -> v1_membered(k1_tarski(A)) & v3_membered(k1_tarski(A)) & v4_membered(k1_tarski(A)) & v2_membered(k1_tarski(A)))) # label(fc10_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3247 (all A (v1_membered(A) -> r1_tarski(A,k2_numbers))) # label(t1_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3248 (all A all B (v1_int_1(B) & v1_int_1(A) -> v1_membered(k2_tarski(A,B)) & v4_membered(k2_tarski(A,B)) & v3_membered(k2_tarski(A,B)) & v2_membered(k2_tarski(A,B)))) # label(fc15_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3249 (exists A (v1_membered(A) & (all B (v1_xcmplx_0(B) -> (r2_hidden(B,A) <-> p1_s1_membered(B)))))) # label(s1_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3250 (all A all B (v1_membered(A) & v1_membered(B) -> v1_membered(k2_xboole_0(A,B)))) # label(fc22_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3251 (all A (v2_membered(A) -> (all B (v2_membered(B) -> ((all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r2_hidden(C,B)))) <-> r1_tarski(A,B)))))) # label(d7_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3252 (all A (v5_membered(A) -> ((all B (v4_ordinal2(B) -> r2_hidden(B,A))) -> k5_numbers = A))) # label(t15_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3253 (all A all B all C (v1_xcmplx_0(A) & v1_xcmplx_0(C) & v1_xcmplx_0(B) -> v1_membered(k1_enumset1(A,B,C)))) # label(fc17_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3254 (all A all B all C (v4_ordinal2(A) & v4_ordinal2(C) & v4_ordinal2(B) -> v1_membered(k1_enumset1(A,B,C)) & v2_membered(k1_enumset1(A,B,C)) & v5_membered(k1_enumset1(A,B,C)) & v4_membered(k1_enumset1(A,B,C)) & v3_membered(k1_enumset1(A,B,C)))) # label(fc21_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3255 (exists A ((all B (v1_int_1(B) -> (p1_s4_membered(B) <-> r2_hidden(B,A)))) & v4_membered(A))) # label(s4_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3256 (all A ((all B (r2_hidden(B,A) -> v2_membered(B))) -> v2_membered(k3_tarski(A)))) # label(t22_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3257 (all A all B (v3_membered(A) -> v1_membered(k3_xboole_0(B,A)) & v3_membered(k3_xboole_0(B,A)) & v2_membered(k3_xboole_0(B,A)))) # label(fc32_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3258 (all A (v3_membered(A) & -v1_xboole_0(A) -> (exists B (r2_hidden(B,A) & v1_rat_1(B))))) # label(t8_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3259 (all A all B (v1_membered(A) & v1_membered(B) -> v1_membered(k5_xboole_0(A,B)))) # label(fc42_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3260 (all A (v3_membered(A) -> v2_membered(A))) # label(cc3_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3261 (all A all B (v1_membered(A) -> v1_membered(k4_xboole_0(A,B)))) # label(fc37_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3262 (all A (v1_xreal_0(A) -> v2_membered(k1_tarski(A)) & v1_membered(k1_tarski(A)))) # label(fc8_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3263 (all A (v2_membered(A) -> r1_tarski(A,k1_numbers))) # label(t2_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3264 (all A (v3_membered(A) -> (all B (m1_subset_1(B,A) -> v1_xcmplx_0(B) & v1_rat_1(B) & v1_xreal_0(B))))) # label(cc12_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3265 (all A all B all C (v1_int_1(A) & v1_int_1(B) & v1_int_1(C) -> v4_membered(k1_enumset1(A,B,C)) & v3_membered(k1_enumset1(A,B,C)) & v2_membered(k1_enumset1(A,B,C)) & v1_membered(k1_enumset1(A,B,C)))) # label(fc20_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3266 (all A (v1_xcmplx_0(A) -> v1_membered(k1_tarski(A)))) # label(fc7_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3267 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> v2_membered(A) & v1_membered(A))) # label(cc6_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3268 (all A all B (v4_ordinal2(B) & v4_ordinal2(A) -> v1_membered(k2_tarski(A,B)) & v2_membered(k2_tarski(A,B)) & v4_membered(k2_tarski(A,B)) & v5_membered(k2_tarski(A,B)) & v3_membered(k2_tarski(A,B)))) # label(fc16_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3269 (all A (v1_membered(A) -> ((all B (v1_xcmplx_0(B) -> r2_hidden(B,A))) -> A = k2_numbers))) # label(t11_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3270 (all A ((all B (r2_hidden(B,A) -> v1_membered(B))) -> v1_membered(k3_tarski(A)))) # label(t21_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3271 (all A ((all B (r2_hidden(B,A) -> v1_int_1(B))) <-> v4_membered(A))) # label(d4_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3272 (all A ((all B (r2_hidden(B,A) -> v3_membered(B))) -> v3_membered(k3_tarski(A)))) # label(t23_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3273 (all A all B (v5_membered(A) -> v1_membered(k3_xboole_0(A,B)) & v2_membered(k3_xboole_0(A,B)) & v3_membered(k3_xboole_0(A,B)) & v5_membered(k3_xboole_0(A,B)) & v4_membered(k3_xboole_0(A,B)))) # label(fc35_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3274 (all A all B (v2_membered(A) & v2_membered(B) -> v2_membered(k2_xboole_0(A,B)) & v1_membered(k2_xboole_0(A,B)))) # label(fc23_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3275 (all A (v5_membered(A) -> (all B (v5_membered(B) -> (r1_tarski(A,B) <-> (all C (v4_ordinal2(C) -> (r2_hidden(C,A) -> r2_hidden(C,B))))))))) # label(d10_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3276 (all A all B (v1_membered(A) -> v1_membered(k3_xboole_0(B,A)))) # label(fc28_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3277 (all A (v2_membered(A) -> ((all B (v1_xreal_0(B) -> r2_hidden(B,A))) -> A = k1_numbers))) # label(t12_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3278 (all A (v1_membered(A) -> (all B (v1_membered(B) -> ((all C (v1_xcmplx_0(C) -> -(r2_hidden(C,B) & r2_hidden(C,A)))) <-> r1_xboole_0(A,B)))))) # label(d16_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3279 (all A (v2_membered(A) -> (all B (m1_subset_1(B,A) -> v1_xreal_0(B) & v1_xcmplx_0(B))))) # label(cc11_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3280 (all A all B (v3_membered(B) & v3_membered(A) -> v1_membered(k5_xboole_0(A,B)) & v3_membered(k5_xboole_0(A,B)) & v2_membered(k5_xboole_0(A,B)))) # label(fc44_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3281 (all A all B (r2_hidden(B,A) & v1_membered(B) -> v1_membered(k1_setfam_1(A)))) # label(t26_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3282 (all A all B (r2_hidden(B,A) & v2_membered(B) -> v2_membered(k1_setfam_1(A)))) # label(t27_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3283 (all A (v5_membered(A) -> r1_tarski(A,k5_numbers))) # label(t5_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3284 (all A all B (v5_membered(A) & v5_membered(B) -> v2_membered(k5_xboole_0(A,B)) & v3_membered(k5_xboole_0(A,B)) & v5_membered(k5_xboole_0(A,B)) & v4_membered(k5_xboole_0(A,B)) & v1_membered(k5_xboole_0(A,B)))) # label(fc46_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3285 (exists A ((all B (v1_xreal_0(B) -> (r2_hidden(B,A) <-> p1_s2_membered(B)))) & v2_membered(A))) # label(s2_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3286 (all A all B (v4_membered(B) -> (r1_tarski(A,B) -> v4_membered(A)))) # label(t19_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3287 (all A all B (v1_rat_1(B) & v1_rat_1(A) -> v3_membered(k2_tarski(A,B)) & v2_membered(k2_tarski(A,B)) & v1_membered(k2_tarski(A,B)))) # label(fc14_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3288 (all A (v2_membered(A) -> v1_membered(A))) # label(cc4_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3289 (all A (v4_membered(A) -> (all B (v4_membered(B) -> (r1_tarski(A,B) <-> (all C (v1_int_1(C) -> (r2_hidden(C,A) -> r2_hidden(C,B))))))))) # label(d9_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3290 (exists A (v3_membered(A) & v5_membered(A) & v4_membered(A) & v2_membered(A) & v1_membered(A) & -v1_xboole_0(A))) # label(rc1_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3291 (all A (v1_membered(A) <-> (all B (r2_hidden(B,A) -> v1_xcmplx_0(B))))) # label(d1_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3292 (all A all B (v2_membered(B) & v2_membered(A) -> v2_membered(k5_xboole_0(A,B)) & v1_membered(k5_xboole_0(A,B)))) # label(fc43_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3293 (all A all B (v5_membered(B) & v5_membered(A) -> v1_membered(k2_xboole_0(A,B)) & v2_membered(k2_xboole_0(A,B)) & v4_membered(k2_xboole_0(A,B)) & v5_membered(k2_xboole_0(A,B)) & v3_membered(k2_xboole_0(A,B)))) # label(fc26_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3294 (all A all B (v5_membered(A) -> v3_membered(k3_xboole_0(B,A)) & v4_membered(k3_xboole_0(B,A)) & v5_membered(k3_xboole_0(B,A)) & v2_membered(k3_xboole_0(B,A)) & v1_membered(k3_xboole_0(B,A)))) # label(fc36_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3295 (all A all B (v1_xcmplx_0(A) & v1_xcmplx_0(B) -> v1_membered(k2_tarski(A,B)))) # label(fc12_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3296 (all A (v1_membered(A) -> (all B (v1_membered(B) -> ((all C (v1_xcmplx_0(C) -> (r2_hidden(C,B) <-> r2_hidden(C,A)))) <-> B = A))))) # label(d11_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3297 (all A all B (v3_membered(B) -> (r1_tarski(A,B) -> v3_membered(A)))) # label(t18_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3298 (all A all B (v4_membered(A) -> v1_membered(k3_xboole_0(B,A)) & v4_membered(k3_xboole_0(B,A)) & v3_membered(k3_xboole_0(B,A)) & v2_membered(k3_xboole_0(B,A)))) # label(fc34_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3299 (all A all B (v2_membered(A) -> v1_membered(k3_xboole_0(B,A)) & v2_membered(k3_xboole_0(B,A)))) # label(fc30_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3300 (all A (v5_membered(A) -> (all B (m1_subset_1(B,A) -> v1_int_1(B) & v1_rat_1(B) & v1_xreal_0(B) & v4_ordinal2(B) & v1_xcmplx_0(B))))) # label(cc14_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3301 (all A (v4_membered(A) -> (all B (v4_membered(B) -> ((all C (v1_int_1(C) -> -(r2_hidden(C,A) & r2_hidden(C,B)))) <-> r1_xboole_0(A,B)))))) # label(d19_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3302 (all A (v2_membered(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v2_membered(B) & v1_membered(B))))) # label(cc17_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3303 (all A (m1_subset_1(A,k1_zfmisc_1(k5_numbers)) -> v4_membered(A) & v5_membered(A) & v3_membered(A) & v2_membered(A) & v1_membered(A))) # label(cc9_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3304 (all A all B (v1_membered(A) -> v1_membered(k3_xboole_0(A,B)))) # label(fc27_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3305 (all A (v1_membered(A) -> (all B (m1_subset_1(B,A) -> v1_xcmplx_0(B))))) # label(cc10_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3306 (all A ((all B (r2_hidden(B,A) -> v4_ordinal2(B))) <-> v5_membered(A))) # label(d5_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3307 (all A (v4_membered(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v2_membered(B) & v4_membered(B) & v3_membered(B) & v1_membered(B))))) # label(cc19_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3308 (all A (v3_membered(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v1_membered(B) & v2_membered(B) & v3_membered(B))))) # label(cc18_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3309 (all A (-v1_xboole_0(A) & v2_membered(A) -> (exists B (v1_xreal_0(B) & r2_hidden(B,A))))) # label(t7_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3310 (all A (v3_membered(A) -> ((all B (v1_rat_1(B) -> r2_hidden(B,A))) -> k3_numbers = A))) # label(t13_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3311 (all A ((all B (r2_hidden(B,A) -> v5_membered(B))) -> v5_membered(k3_tarski(A)))) # label(t25_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3312 (all A (v4_ordinal2(A) -> v2_membered(k1_tarski(A)) & v5_membered(k1_tarski(A)) & v4_membered(k1_tarski(A)) & v3_membered(k1_tarski(A)) & v1_membered(k1_tarski(A)))) # label(fc11_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3313 (all A all B (v2_membered(B) -> (r1_tarski(A,B) -> v2_membered(A)))) # label(t17_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3314 (all A (v5_membered(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v2_membered(B) & v4_membered(B) & v5_membered(B) & v3_membered(B) & v1_membered(B))))) # label(cc20_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3315 (all A all B (v3_membered(A) -> v1_membered(k4_xboole_0(A,B)) & v3_membered(k4_xboole_0(A,B)) & v2_membered(k4_xboole_0(A,B)))) # label(fc39_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3316 (all A ((all B (r2_hidden(B,A) -> v4_membered(B))) -> v4_membered(k3_tarski(A)))) # label(t24_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3317 (all A (v3_membered(A) -> (all B (v3_membered(B) -> ((all C (v1_rat_1(C) -> (r2_hidden(C,B) <-> r2_hidden(C,A)))) <-> B = A))))) # label(d13_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3318 (all A (v1_rat_1(A) -> v1_membered(k1_tarski(A)) & v3_membered(k1_tarski(A)) & v2_membered(k1_tarski(A)))) # label(fc9_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3319 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> v2_membered(k2_tarski(A,B)) & v1_membered(k2_tarski(A,B)))) # label(fc13_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3320 (all A all B (v4_membered(B) & r2_hidden(B,A) -> v4_membered(k1_setfam_1(A)))) # label(t29_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3321 (all A ((all B (r2_hidden(B,A) -> v1_rat_1(B))) <-> v3_membered(A))) # label(d3_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3322 (all A (m1_subset_1(A,k1_zfmisc_1(k2_numbers)) -> v1_membered(A))) # label(cc5_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3323 (all A (v4_membered(A) -> v3_membered(A))) # label(cc2_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3324 (all A all B (v1_membered(B) -> (r1_tarski(A,B) -> v1_membered(A)))) # label(t16_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3325 (all A all B all C (v1_rat_1(B) & v1_rat_1(C) & v1_rat_1(A) -> v3_membered(k1_enumset1(A,B,C)) & v2_membered(k1_enumset1(A,B,C)) & v1_membered(k1_enumset1(A,B,C)))) # label(fc19_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3326 (exists A ((all B (v1_rat_1(B) -> (p1_s3_membered(B) <-> r2_hidden(B,A)))) & v3_membered(A))) # label(s3_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3327 (all A (v5_membered(A) -> v4_membered(A))) # label(cc1_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3328 (all A all B (r2_hidden(B,A) & v3_membered(B) -> v3_membered(k1_setfam_1(A)))) # label(t28_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3329 (all A (v2_membered(A) -> (all B (v2_membered(B) -> (r1_xboole_0(A,B) <-> (all C (v1_xreal_0(C) -> -(r2_hidden(C,B) & r2_hidden(C,A))))))))) # label(d17_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3330 (exists A (v5_membered(A) & (all B (v4_ordinal2(B) -> (r2_hidden(B,A) <-> p1_s5_membered(B)))))) # label(s5_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3331 (all A (v1_xboole_0(A) -> v1_membered(A) & v3_membered(A) & v4_membered(A) & v5_membered(A) & v2_membered(A))) # label(cc15_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3332 (all A ((all B (r2_hidden(B,A) -> v1_xreal_0(B))) <-> v2_membered(A))) # label(d2_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3333 (all A (v3_membered(A) -> (all B (v3_membered(B) -> ((all C (v1_rat_1(C) -> (r2_hidden(C,A) -> r2_hidden(C,B)))) <-> r1_tarski(A,B)))))) # label(d8_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3334 (all A all B (v3_membered(A) -> v1_membered(k3_xboole_0(A,B)) & v3_membered(k3_xboole_0(A,B)) & v2_membered(k3_xboole_0(A,B)))) # label(fc31_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3335 (all A all B (v4_membered(A) -> v2_membered(k3_xboole_0(A,B)) & v3_membered(k3_xboole_0(A,B)) & v4_membered(k3_xboole_0(A,B)) & v1_membered(k3_xboole_0(A,B)))) # label(fc33_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3336 (all A (v2_membered(A) -> (all B (v2_membered(B) -> ((all C (v1_xreal_0(C) -> (r2_hidden(C,B) <-> r2_hidden(C,A)))) <-> B = A))))) # label(d12_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3337 (all A all B (v2_membered(A) -> v1_membered(k3_xboole_0(A,B)) & v2_membered(k3_xboole_0(A,B)))) # label(fc29_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3338 (all A (v1_membered(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v1_membered(B))))) # label(cc16_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3339 (all A (v4_membered(A) & -v1_xboole_0(A) -> (exists B (r2_hidden(B,A) & v1_int_1(B))))) # label(t9_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3340 (all A all B (v4_membered(A) -> v2_membered(k4_xboole_0(A,B)) & v4_membered(k4_xboole_0(A,B)) & v3_membered(k4_xboole_0(A,B)) & v1_membered(k4_xboole_0(A,B)))) # label(fc40_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3341 (all A (v5_membered(A) & -v1_xboole_0(A) -> (exists B (v4_ordinal2(B) & r2_hidden(B,A))))) # label(t10_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3342 (all A all B (v2_membered(A) -> v2_membered(k4_xboole_0(A,B)) & v1_membered(k4_xboole_0(A,B)))) # label(fc38_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3343 (all A all B (v5_membered(A) -> v5_membered(k4_xboole_0(A,B)) & v4_membered(k4_xboole_0(A,B)) & v3_membered(k4_xboole_0(A,B)) & v2_membered(k4_xboole_0(A,B)) & v1_membered(k4_xboole_0(A,B)))) # label(fc41_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3344 (all A (v5_membered(A) -> (all B (v5_membered(B) -> (B = A <-> (all C (v4_ordinal2(C) -> (r2_hidden(C,B) <-> r2_hidden(C,A))))))))) # label(d15_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3345 (all A (v4_membered(A) -> (all B (v4_membered(B) -> ((all C (v1_int_1(C) -> (r2_hidden(C,B) <-> r2_hidden(C,A)))) <-> B = A))))) # label(d14_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3346 (all A (v1_membered(A) -> (all B (v1_membered(B) -> ((all C (v1_xcmplx_0(C) -> (r2_hidden(C,A) -> r2_hidden(C,B)))) <-> r1_tarski(A,B)))))) # label(d6_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3347 (all A (v4_membered(A) -> (all B (m1_subset_1(B,A) -> v1_xreal_0(B) & v1_int_1(B) & v1_rat_1(B) & v1_xcmplx_0(B))))) # label(cc13_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3348 (all A (m1_subset_1(A,k1_zfmisc_1(k3_numbers)) -> v3_membered(A) & v2_membered(A) & v1_membered(A))) # label(cc7_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3349 (all A all B (v4_membered(A) & v4_membered(B) -> v2_membered(k2_xboole_0(A,B)) & v3_membered(k2_xboole_0(A,B)) & v4_membered(k2_xboole_0(A,B)) & v1_membered(k2_xboole_0(A,B)))) # label(fc25_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3350 (all A (m1_subset_1(A,k1_zfmisc_1(k4_numbers)) -> v1_membered(A) & v4_membered(A) & v3_membered(A) & v2_membered(A))) # label(cc8_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3351 (all A all B (v5_membered(B) & r2_hidden(B,A) -> v5_membered(k1_setfam_1(A)))) # label(t30_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3352 (all A (v3_membered(A) -> r1_tarski(A,k3_numbers))) # label(t3_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3353 (all A (v4_membered(A) -> ((all B (v1_int_1(B) -> r2_hidden(B,A))) -> A = k4_numbers))) # label(t14_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3354 (all A (v4_membered(A) -> r1_tarski(A,k4_numbers))) # label(t4_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3355 (all A (-v1_xboole_0(A) & v1_membered(A) -> (exists B (r2_hidden(B,A) & v1_xcmplx_0(B))))) # label(t6_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3356 (all A (v5_membered(A) -> (all B (v5_membered(B) -> (r1_xboole_0(A,B) <-> (all C (v4_ordinal2(C) -> -(r2_hidden(C,B) & r2_hidden(C,A))))))))) # label(d20_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3357 (all A all B (v4_membered(B) & v4_membered(A) -> v1_membered(k5_xboole_0(A,B)) & v2_membered(k5_xboole_0(A,B)) & v4_membered(k5_xboole_0(A,B)) & v3_membered(k5_xboole_0(A,B)))) # label(fc45_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3358 (all A all B (v5_membered(B) -> (r1_tarski(A,B) -> v5_membered(A)))) # label(t20_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3359 (all A all B (v3_membered(B) & v3_membered(A) -> v2_membered(k2_xboole_0(A,B)) & v3_membered(k2_xboole_0(A,B)) & v1_membered(k2_xboole_0(A,B)))) # label(fc24_membered) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3360 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (k1_card_1(A) = k1_card_1(B) -> B = A))))) # label(t71_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.49 3361 (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]. 26.08/25.50 3362 (all A (v3_ordinal1(A) -> r2_hidden(A,k2_card_1(A)))) # label(t36_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3363 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (r2_wellord2(A,B) <-> B = A))))) # label(t8_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3364 $T # label(t9_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3365 (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]. 26.08/25.50 3366 (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]. 26.08/25.50 3367 (all A (v3_ordinal1(A) -> r1_ordinal1(k1_card_1(A),A))) # label(t24_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3368 $T # label(d9_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3369 $T # label(d2_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3370 (all A (r2_hidden(A,k5_ordinal2) -> v1_card_1(A))) # label(t65_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3371 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_xreal_0(A,B) <-> r1_tarski(k1_card_1(A),k1_card_1(B))))))) # label(t72_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3372 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (-r1_tarski(B,A) <-> r2_hidden(A,B)))))) # label(t14_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3373 $T # label(t63_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3374 $T # label(t11_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3375 $T # label(t1_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3376 (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]. 26.08/25.50 3377 $T # label(t53_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3378 $T # label(t19_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3379 (all A (v1_finset_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (k1_card_1(B) = k1_card_1(A) <-> k4_card_1(A) = B))))) # label(d11_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3380 (all A -r2_wellord2(A,k1_zfmisc_1(A))) # label(t29_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3381 $T # label(t16_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3382 (all A (m1_subset_1(A,k5_numbers) -> v1_ordinal1(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_card_1(A) & -v3_xreal_0(A) & v1_finset_1(A) & v4_ordinal2(A) & v3_ordinal1(A) & v2_ordinal1(A))) # label(cc3_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3383 $T # label(t57_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3384 $T # label(t18_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3385 (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]. 26.08/25.50 3386 $T # label(t31_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3387 $T # label(d3_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3388 (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]. 26.08/25.50 3389 (all A all B ((exists C (v1_relat_1(C) & v1_funct_1(C) & k1_relat_1(C) = B & r1_tarski(A,k2_relat_1(C)))) <-> r1_tarski(k1_card_1(A),k1_card_1(B)))) # label(t28_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3390 $T # label(t37_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3391 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_xreal_0(A,B) <-> r1_ordinal1(A,B)))))) # label(t56_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3392 (all A all B all C all D (r1_xboole_0(A,B) & r1_xboole_0(C,D) & r2_wellord2(A,C) & r2_wellord2(B,D) -> r2_wellord2(k2_xboole_0(A,B),k2_xboole_0(C,D)))) # label(t58_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3393 (all A -(v1_finset_1(A) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -r2_wellord2(A,B))))) # label(t74_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3394 $T # label(t7_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3395 (all A all B (r1_tarski(k1_card_1(A),k1_card_1(B)) <-> (exists C (v1_funct_1(C) & v2_funct_1(C) & r1_tarski(k2_relat_1(C),B) & A = k1_relat_1(C) & v1_relat_1(C))))) # label(t26_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3396 $T # label(t5_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3397 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (A != B & r1_tarski(A,B) <-> r2_hidden(A,B)))))) # label(t13_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3398 $T # label(t3_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3399 (exists A v1_card_1(A)) # label(rc1_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3400 (all A all B (r2_wellord2(A,B) & v1_finset_1(A) -> v1_finset_1(B))) # label(t68_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3401 $T # label(d4_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3402 (all A (v1_card_1(A) <-> (exists B (v3_ordinal1(B) & B = A & (all C (v3_ordinal1(C) -> (r2_wellord2(C,B) -> r1_ordinal1(B,C)))))))) # label(d1_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3403 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(A,B) <-> r2_hidden(k3_card_1(A),k3_card_1(B))))))) # label(t41_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3404 (all A (v1_card_1(A) -> (p1_s1_card_1(A) -> p1_s1_card_1(k2_card_1(A))))) & (all A (v1_card_1(A) -> ((all B (v1_card_1(B) -> (r2_hidden(B,A) -> p1_s1_card_1(B)))) & v2_card_1(A) -> p1_s1_card_1(A) | k1_xboole_0 = 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]. 26.08/25.50 3405 (all A (v1_finset_1(A) -> v1_finset_1(k2_card_1(A)))) # label(t82_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3406 (all A exists B (v3_ordinal1(B) & r2_wellord2(A,B))) # label(t4_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3407 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (k3_card_1(B) = k3_card_1(A) -> B = A))))) # label(t42_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3408 (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]. 26.08/25.50 3409 (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]. 26.08/25.50 3410 (all A v1_card_1(k2_card_1(A))) # label(dt_k2_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3411 $T # label(t17_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3412 $T # label(t77_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3413 (all A r2_hidden(k1_card_1(k1_xboole_0),k2_card_1(A))) # label(t33_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3414 (all A k4_ordinal2 = k1_card_1(k1_tarski(A))) # label(t50_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3415 (all A v1_card_1(k1_card_1(A))) # label(dt_k1_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3416 (all A np__1 = k4_card_1(k1_tarski(A))) # label(t79_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3417 (all A (v1_card_1(A) -> r2_hidden(A,k2_card_1(A)))) # label(t32_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3418 (exists A (v1_ordinal1(A) & v3_ordinal1(A) & v1_finset_1(A) & v1_card_1(A) & v2_ordinal1(A))) # label(rc2_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3419 (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]. 26.08/25.50 3420 (all A (v3_ordinal1(A) -> (v4_ordinal1(A) -> A = k1_xboole_0 | (all B (v5_ordinal1(B) & v1_funct_1(B) & v1_relat_1(B) -> ((all C (v3_ordinal1(C) -> (r2_hidden(C,A) -> k3_card_1(C) = k1_funct_1(B,C)))) & k1_relat_1(B) = A -> k3_card_1(A) = k1_card_1(k8_ordinal2(B)))))))) # label(t40_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3421 (all A all B (k1_card_1(B) = k1_card_1(A) <-> r2_wellord2(A,B))) # label(t21_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3422 $T # label(t55_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3423 $T # label(t67_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3424 (all A all B ((exists C A = k1_tarski(C)) <-> r2_wellord2(A,k1_tarski(B)))) # label(t48_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3425 (all A (v1_finset_1(A) -> v2_ordinal1(k1_card_1(A)) & v1_finset_1(k1_card_1(A)) & v1_card_1(k1_card_1(A)) & v3_ordinal1(k1_card_1(A)) & v1_ordinal1(k1_card_1(A)))) # label(fc2_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3426 (all A all B (v1_card_1(B) -> ((all C (v1_card_1(C) -> (r2_hidden(k1_card_1(A),C) -> r1_tarski(B,C)))) & r2_hidden(k1_card_1(A),B) <-> B = k2_card_1(A)))) # label(d6_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3427 $T # label(t20_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3428 $T # label(t62_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3429 $T # label(t2_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3430 $T # label(t10_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3431 (all A all B (r1_tarski(k1_zfmisc_1(A),B) -> r2_hidden(k1_card_1(A),k1_card_1(B)) & -r2_wellord2(A,B))) # label(t45_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3432 $T # label(t12_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3433 (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]. 26.08/25.50 3434 (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]. 26.08/25.50 3435 $T # label(dt_k3_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3436 (all A all B all C all D (r2_hidden(C,A) & r2_hidden(D,B) & r2_wellord2(A,B) -> r2_wellord2(k4_xboole_0(A,k1_tarski(C)),k4_xboole_0(B,k1_tarski(D))))) # label(t61_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3437 $T # label(t75_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3438 (all A all B all C (r2_wellord2(A,C) & r1_tarski(B,C) & r1_tarski(A,B) -> r2_wellord2(A,B) & r2_wellord2(B,C))) # label(t44_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3439 $T # label(t15_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3440 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k1_card_1(A) = A)) # label(t66_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3441 (all A (v1_finset_1(A) -> (all B (v1_finset_1(B) -> (r2_wellord2(A,B) -> k4_card_1(B) = k4_card_1(A)))))) # label(t81_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3442 (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]. 26.08/25.50 3443 (all A all B (k1_card_1(A) = k1_card_1(B) -> k2_card_1(A) = k2_card_1(B))) # label(t34_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3444 (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]. 26.08/25.50 3445 (all A all B ((exists C k1_tarski(C) = A) <-> k1_card_1(k1_tarski(B)) = k1_card_1(A))) # label(t49_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3446 $T # label(t6_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3447 $T # label(t54_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3448 (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]. 26.08/25.50 3449 (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]. 26.08/25.50 3450 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(A,k1_relat_1(B)) & v2_funct_1(B) -> r2_wellord2(A,k9_relat_1(B,A))))) # label(t60_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3451 (all A (r2_wellord2(A,k1_xboole_0) <-> A = k1_xboole_0)) # label(t46_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3452 (all A (v1_card_1(A) -> v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A))) # label(cc1_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3453 $T # label(t70_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3454 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_wellord2(A,B) -> B = A))))) # label(t64_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3455 (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]. 26.08/25.50 3456 (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]. 26.08/25.50 3457 (all A (v3_ordinal1(A) -> v1_ordinal1(k3_card_1(A)) & v3_ordinal1(k3_card_1(A)) & v1_card_1(k3_card_1(A)) & v2_ordinal1(k3_card_1(A)))) # label(fc1_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3458 (all A (m1_subset_1(A,k5_numbers) -> v4_ordinal2(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & -v3_xreal_0(A) & v1_card_1(A) & v3_ordinal1(A) & v2_ordinal1(A) & v1_ordinal1(A))) # label(cc2_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3459 (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]. 26.08/25.50 3460 (all A (v1_card_1(A) & v1_finset_1(A) -> (exists B (A = k1_card_1(B) & m2_subset_1(B,k1_numbers,k5_numbers))))) # label(t86_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3461 (all A (v3_ordinal1(A) -> (all B ((exists C (v1_relat_1(C) & v1_funct_1(C) & k1_ordinal2(C) = B & k1_relat_1(C) = k1_ordinal1(A) & k1_card_1(k5_numbers) = k1_funct_1(C,k1_xboole_0) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_funct_1(C,k1_ordinal1(D)) = k2_card_1(k3_tarski(k1_tarski(k1_funct_1(C,D))))))) & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> D = k1_xboole_0 | k1_funct_1(C,D) = k1_card_1(k8_ordinal2(k2_ordinal1(C,D)))))) & v5_ordinal1(C))) <-> B = k3_card_1(A))))) # label(d8_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3462 $T # label(d10_card_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3463 (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]. 26.08/25.50 3464 (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]. 26.08/25.50 3465 (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]. 26.08/25.50 3466 (all A m2_finseq_1(k14_finseq_1(A),k5_numbers)) # label(dt_k14_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3467 (exists A (v1_funct_1(A) & v1_finset_1(A) & v1_relat_1(A) & -v1_xboole_0(A))) # label(rc7_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3468 (all A exists B m1_finseq_1(B,A)) # label(existence_m1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3469 (all A -v1_xboole_0(k13_finseq_1(A))) # label(fc9_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3470 (all A k1_xboole_0 = k6_finseq_1(A)) # label(d6_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3471 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (k7_finseq_1(A,B) = k1_xboole_0 -> B = k1_xboole_0 & k1_xboole_0 = A))))) # label(t48_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3472 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (A = k1_xboole_0 <-> k1_xboole_0 = k4_finseq_1(A)))) # label(t26_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3473 $T # label(t28_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3474 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (k2_finseq_1(B) = k2_finseq_1(A) -> A = B))))) # label(t8_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3475 (all A m2_finseq_1(k1_xboole_0,A)) # label(t29_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3476 (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]. 26.08/25.50 3477 (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]. 26.08/25.50 3478 (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) -> (v2_funct_1(B) & v2_funct_1(A) & k2_relat_1(A) = k2_relat_1(B) -> k3_finseq_1(B) = k3_finseq_1(A)))))) # label(t65_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3479 (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]. 26.08/25.50 3480 (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) -> (r1_xreal_0(A,k3_finseq_1(B)) & k7_relat_1(B,k2_finseq_1(A)) = C -> A = k3_finseq_1(C) & k4_finseq_1(C) = k2_finseq_1(A)))))))) # label(t21_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3481 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (k7_finseq_1(A,B) = 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))))))))))) # label(d7_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3482 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C (m2_finseq_1(k7_finseq_1(A,B),C) -> m2_finseq_1(B,C) & m2_finseq_1(A,C))))))) # label(t50_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3483 (all A all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> -(r2_hidden(A,k4_finseq_1(B)) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> -(r2_hidden(k1_nat_1(k3_finseq_1(C),D),k4_finseq_1(k7_finseq_1(C,B))) & A = D)))))))) # label(t40_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3484 (all A (v1_funct_1(A) & v1_relat_1(A) -> -((exists B (m2_subset_1(B,k1_numbers,k5_numbers) & r1_tarski(k1_relat_1(A),k2_finseq_1(B)))) & (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> -r1_tarski(A,B)))))) # label(t15_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3485 (all A (v1_relat_1(k9_finseq_1(A)) & v1_funct_1(k9_finseq_1(A)))) # label(dt_k9_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3486 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (k3_finseq_1(A) = B <-> k2_finseq_1(B) = k1_relat_1(A)))))) # label(d3_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3487 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (k7_finseq_1(A,B) = k7_finseq_1(C,B) | k7_finseq_1(B,C) = k7_finseq_1(B,A) -> A = C))))))) # label(t46_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3488 (all A all B (m1_finseq_1(B,A) <-> m2_finseq_1(B,A))) # label(redefinition_m2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3489 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> r1_tarski(k2_relat_1(A),k2_relat_1(k7_finseq_1(B,A))))))) # label(t43_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3490 (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]. 26.08/25.50 3491 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> r1_tarski(k2_relat_1(A),k2_relat_1(k7_finseq_1(A,B))))))) # label(t42_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3492 (all A (v4_ordinal2(A) -> v1_finset_1(k1_finseq_1(A)))) # label(fc1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3493 (all A (v4_ordinal2(A) -> A = k4_card_1(k2_finseq_1(A)))) # label(t78_finseq_1_AndLHS) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3494 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k4_card_1(k1_card_1(A)) = A & A = k4_card_1(A))) # label(t78_finseq_1_AndRHS) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3495 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (m2_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]. 26.08/25.50 3496 $T # label(dt_k5_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3497 $T # label(dt_k10_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3498 (all A exists B (m1_finseq_1(B,A) & v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_finseq_1(B) & v2_funct_1(B) & v1_relat_1(B))) # label(rc4_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3499 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(r2_hidden(C,k4_finseq_1(k7_finseq_1(A,B))) & -r2_hidden(C,k4_finseq_1(A)) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> -(C = k1_nat_1(k3_finseq_1(A),D) & r2_hidden(D,k4_finseq_1(B)))))))))))) # label(t38_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3500 (all A all B all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (C = k10_finseq_1(A,B) <-> k3_finseq_1(C) = np__2 & B = k1_funct_1(C,np__2) & A = k1_funct_1(C,np__1)))) # label(t61_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3501 (all A all B (v1_funct_1(k10_finseq_1(A,B)) & v1_finseq_1(k10_finseq_1(A,B)) & v1_finset_1(k10_finseq_1(A,B)) & v1_relat_1(k10_finseq_1(A,B)))) # label(fc7_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3502 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((exists B (r1_tarski(k1_relat_1(A),k2_finseq_1(B)) & m2_subset_1(B,k1_numbers,k5_numbers))) <-> v2_finseq_1(A)))) # label(d12_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3503 (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) -> k7_relat_1(k7_finseq_1(A,B),k4_finseq_1(A)) = A)))) # label(t33_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3504 (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]. 26.08/25.50 3505 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_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]. 26.08/25.50 3506 (all A all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (k2_relat_1(B) = k1_tarski(A) & k2_finseq_1(np__1) = k4_finseq_1(B) <-> B = k9_finseq_1(A)))) # label(t55_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3507 (all A all B (v1_finseq_1(A) & -v1_xboole_0(B) & v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) & v1_funct_1(A) & v1_relat_1(A) -> -v1_xboole_0(k7_finseq_1(B,A)) & v1_funct_1(k7_finseq_1(B,A)) & v1_finseq_1(k7_finseq_1(B,A)) & v1_finset_1(k7_finseq_1(B,A)) & v1_relat_1(k7_finseq_1(B,A)))) # label(fc14_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3508 (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]. 26.08/25.50 3509 (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]. 26.08/25.50 3510 (all A exists B (m1_relset_1(B,k5_numbers,A) & v1_relat_1(B) & v1_finseq_1(B) & v1_finset_1(B) & v1_funct_1(B))) # label(rc2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3511 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> v1_relat_1(k7_relat_1(B,A)) & v1_relat_1(k8_relat_1(A,B)) & v1_funct_1(k8_relat_1(A,B)) & v2_finseq_1(k8_relat_1(A,B)) & v2_finseq_1(k7_relat_1(B,A)) & v1_funct_1(k7_relat_1(B,A)))) # label(t69_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3512 (all A (v1_funct_1(A) & v2_finseq_1(A) & v1_relat_1(A) -> v1_funct_1(k15_finseq_1(A)) & v1_relat_1(k15_finseq_1(A)))) # label(dt_k15_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3513 (all A k9_finseq_1(A) = k1_tarski(k4_tarski(np__1,A))) # label(t52_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3514 $T # label(dt_k13_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3515 (all A all B (m1_finseq_1(B,A) -> v2_funct_1(k16_finseq_1(A,B,np__0)) & v1_finseq_1(k16_finseq_1(A,B,np__0)) & v1_finset_1(k16_finseq_1(A,B,np__0)) & v1_funct_1(k16_finseq_1(A,B,np__0)) & v1_relat_1(k16_finseq_1(A,B,np__0)) & v1_xboole_0(k16_finseq_1(A,B,np__0)))) # label(fc15_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3516 (all A all B all C (v1_relat_1(k11_finseq_1(A,B,C)) & v1_funct_1(k11_finseq_1(A,B,C)) & v1_finseq_1(k11_finseq_1(A,B,C)) & v1_finset_1(k11_finseq_1(A,B,C)))) # label(fc8_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3517 (all A ((exists B (v1_relat_1(B) & v1_finseq_1(B) & A = k2_relat_1(B) & v1_funct_1(B))) <-> v1_finset_1(A))) # label(t73_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3518 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> -(r2_hidden(A,k2_finseq_1(f2_s5_finseq_1)) & (all B (m1_subset_1(B,f1_s5_finseq_1) -> -p1_s5_finseq_1(A,B)))))) -> (exists A (k4_finseq_1(A) = k2_finseq_1(f2_s5_finseq_1) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(B,k2_finseq_1(f2_s5_finseq_1)) -> p1_s5_finseq_1(B,k1_funct_1(A,B))))) & m2_finseq_1(A,f1_s5_finseq_1))) # label(s5_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3519 (all A all B all C all D (v1_finseq_1(D) & v1_funct_1(D) & v1_relat_1(D) -> (D = k11_finseq_1(A,B,C) <-> C = k1_funct_1(D,np__3) & k1_funct_1(D,np__2) = B & A = k1_funct_1(D,np__1) & k3_finseq_1(D) = np__3))) # label(t62_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3520 (all A ((exists B (v4_ordinal2(B) & r1_tarski(A,k2_finseq_1(B)))) -> (all B (m2_finseq_1(B,k5_numbers) -> (B = k14_finseq_1(A) <-> A = k2_relat_1(B) & (all C (v4_ordinal2(C) -> (all D (v4_ordinal2(D) -> (all E (v4_ordinal2(E) -> (all F (v4_ordinal2(F) -> -(r1_xreal_0(np__1,C) & -r1_xreal_0(D,C) & r1_xreal_0(D,k3_finseq_1(B)) & r1_xreal_0(F,E) & k1_funct_1(B,D) = F & k1_funct_1(B,C) = E)))))))))))))) # label(d13_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3521 (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 A != k7_finseq_1(B,k9_finseq_1(C))))) & k1_xboole_0 != A))) # label(t63_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3522 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> k1_relat_1(A) = k4_finseq_1(A))) # label(redefinition_k4_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3523 $T # label(t49_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3524 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,C) & r1_xreal_0(C,k3_finseq_1(B)) -> 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]. 26.08/25.50 3525 (all A all B (m2_finseq_1(B,A) -> (all C (v4_ordinal2(C) -> (r1_xreal_0(C,k3_finseq_1(B)) -> k3_finseq_1(k16_finseq_1(A,B,C)) = C))))) # label(t80_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3526 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (k2_finseq_1(A) = k5_subset_1(k5_numbers,k2_finseq_1(A),k2_finseq_1(B)) -> r1_xreal_0(A,B)))))) # label(t10_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3527 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r1_tarski(k2_finseq_1(A),k2_finseq_1(B)) <-> r1_xreal_0(A,B)))))) # label(t7_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3528 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(A)) -> k1_funct_1(A,C) = k1_funct_1(B,C)))) & k4_finseq_1(A) = k4_finseq_1(B) -> A = B))))) # label(t17_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3529 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (k1_xboole_0 = A <-> np__0 = k3_finseq_1(A)))) # label(t25_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3530 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> v2_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(t68_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3531 (all A (v1_funct_1(k5_finseq_1(A)) & v1_relat_1(k5_finseq_1(A)))) # label(fc3_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3532 (all A (m2_finseq_1(k6_finseq_1(A),A) & v1_xboole_0(k6_finseq_1(A)))) # label(dt_k6_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3533 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> k3_finseq_1(k7_finseq_1(A,B)) = k1_nat_1(k3_finseq_1(A),k3_finseq_1(B)))))) # label(t35_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3534 (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 (p1_s1_finseq_1(A,C) & p1_s1_finseq_1(A,B) & r2_hidden(A,k2_finseq_1(f1_s1_finseq_1)) -> 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))))) & k2_finseq_1(f1_s1_finseq_1) = k4_finseq_1(A) & v1_funct_1(A))) # label(s1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3535 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (k3_finseq_1(A) = k3_finseq_1(B) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,C) & r1_xreal_0(C,k3_finseq_1(A)) -> k1_funct_1(B,C) = k1_funct_1(A,C)))) -> A = B))))) # label(t18_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.50 3536 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_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]. 26.08/25.50 3537 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v4_ordinal2(B) -> (all C (v4_ordinal2(C) -> (r2_hidden(k2_xcmplx_0(B,C),k2_finseq_1(k2_xcmplx_0(A,C))) -> r1_xreal_0(B,np__0) | r2_hidden(B,k2_finseq_1(k2_xcmplx_0(A,C))) & r2_hidden(B,k2_finseq_1(A))))))))) # label(t82_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3538 (all A all B (m2_finseq_1(B,A) -> (all C (v4_ordinal2(C) -> (r1_xreal_0(k3_finseq_1(B),C) -> B = k16_finseq_1(A,B,C)))))) # label(t79_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3539 (all A all B all C k7_finseq_1(k7_finseq_1(k9_finseq_1(A),k9_finseq_1(B)),k9_finseq_1(C)) = k11_finseq_1(A,B,C)) # label(d10_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3540 (all A all B (v1_relat_1(A) & v1_finset_1(A) & v1_funct_1(A) -> v1_finset_1(k10_relat_1(A,B)))) # label(fc18_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3541 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (r1_tarski(k2_relat_1(B),A) <-> m1_finseq_1(B,A)))) # label(d4_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3542 (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]. 26.08/25.51 3543 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> k3_finseq_1(A) = k1_card_1(A))) # label(redefinition_k3_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3544 (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]. 26.08/25.51 3545 (all A k5_finseq_1(A) = k9_finseq_1(A)) # label(redefinition_k9_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3546 $T # label(t1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3547 (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]. 26.08/25.51 3548 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> k12_finseq_1(A,B) = k5_finseq_1(B))) # label(redefinition_k12_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3549 (exists A all B (r2_hidden(B,A) <-> (exists C (r2_hidden(C,k13_finseq_1(f1_s4_finseq_1)) & p1_s4_finseq_1(C) & B = C & v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C))))) # label(s4_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3550 (all A all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> k1_funct_1(k7_finseq_1(k9_finseq_1(A),B),np__1) = A)) # label(t58_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3551 (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]. 26.08/25.51 3552 (all A (v1_relat_1(k5_finseq_1(A)) & v1_finseq_1(k5_finseq_1(A)) & v1_finset_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A)))) # label(fc4_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3553 (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]. 26.08/25.51 3554 $T # label(dt_k11_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3555 (all A all B (v1_funct_1(k10_finseq_1(A,B)) & v1_relat_1(k10_finseq_1(A,B)))) # label(fc5_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3556 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> v1_finset_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(cc1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3557 (all A (v4_ordinal2(A) -> k2_xboole_0(k2_finseq_1(A),k1_tarski(k2_xcmplx_0(A,np__1))) = k2_finseq_1(k2_xcmplx_0(A,np__1)))) # label(t11_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3558 (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]. 26.08/25.51 3559 $T # label(dt_k1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3560 (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]. 26.08/25.51 3561 (all A all B (v1_funct_1(A) & v1_finseq_1(A) & v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) & -v1_xboole_0(B) & v1_relat_1(A) -> -v1_xboole_0(k7_finseq_1(A,B)) & v1_relat_1(k7_finseq_1(A,B)) & v1_finset_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)))) # label(fc13_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3562 (all A all B all C (k7_finseq_1(k10_finseq_1(A,B),k9_finseq_1(C)) = k11_finseq_1(A,B,C) & k7_finseq_1(k9_finseq_1(A),k10_finseq_1(B,C)) = k11_finseq_1(A,B,C))) # label(t60_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3563 (all A all B (v1_relat_1(A) & v1_finseq_1(A) & v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) & v1_funct_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]. 26.08/25.51 3564 (exists A (v1_funct_1(A) & v2_finseq_1(A) & v1_relat_1(A))) # label(rc5_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3565 (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]. 26.08/25.51 3566 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v4_ordinal2(C) -> (r1_xreal_0(C,k3_finseq_1(k7_finseq_1(A,B))) -> 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]. 26.08/25.51 3567 (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]. 26.08/25.51 3568 (all A all B all C (v4_ordinal2(C) & m1_finseq_1(B,A) -> m2_finseq_1(k16_finseq_1(A,B,C),A))) # label(dt_k16_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3569 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r2_hidden(A,k2_finseq_1(B)) <-> r1_xreal_0(A,B) & r1_xreal_0(np__1,A)))))) # label(t3_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3570 (all A exists B m2_finseq_1(B,A)) # label(existence_m2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3571 (all A (v4_ordinal2(A) -> np__0 = A | r2_hidden(A,k2_finseq_1(A)))) # label(t5_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3572 (exists A (v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_finset_1(A))) # label(rc6_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3573 (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]. 26.08/25.51 3574 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (B = k9_finseq_1(A) <-> k2_finseq_1(np__1) = k1_relat_1(B) & k1_funct_1(B,np__1) = A))) # label(d8_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3575 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v4_ordinal2(C) -> (r1_xreal_0(C,k1_nat_1(k3_finseq_1(A),k3_finseq_1(B))) & r1_xreal_0(k1_nat_1(k3_finseq_1(A),np__1),C) -> k1_funct_1(B,k6_xcmplx_0(C,k3_finseq_1(A))) = k1_funct_1(k7_finseq_1(A,B),C)))))))) # label(t36_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3576 (all A k5_finseq_1(A) = k1_tarski(k4_tarski(np__1,A))) # label(d5_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3577 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_wellord2(k2_finseq_1(A),k2_finseq_1(B)) -> A = B))))) # label(t74_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3578 $T # label(t31_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3579 (all A (v1_relat_1(A) & v2_finseq_1(A) & v1_funct_1(A) -> k5_relat_1(k14_finseq_1(k1_relat_1(A)),A) = k15_finseq_1(A))) # label(d14_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3580 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (all D (v1_funct_1(D) & v1_finseq_1(D) & v1_relat_1(D) -> -(k7_finseq_1(A,B) = k7_finseq_1(C,D) & r1_xreal_0(k3_finseq_1(A),k3_finseq_1(C)) & (all E (v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) -> C != k7_finseq_1(A,E)))))))))))) # label(t64_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3581 (all A (v4_ordinal2(A) -> k2_finseq_1(A) = k4_xboole_0(k2_finseq_1(k2_xcmplx_0(A,np__1)),k1_tarski(k2_xcmplx_0(A,np__1))))) # label(t12_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3582 $T # label(t2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3583 (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) -> (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]. 26.08/25.51 3584 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) -> v1_finset_1(k1_relat_1(A)))) # label(fc17_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3585 (exists A (k3_finseq_1(A) = f1_s2_finseq_1 & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(B,k2_finseq_1(f1_s2_finseq_1)) -> k1_funct_1(A,B) = f2_s2_finseq_1(B)))) & v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(s2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3586 (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]. 26.08/25.51 3587 (all A r2_hidden(k1_xboole_0,k13_finseq_1(A))) # label(t66_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3588 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (A = k6_finseq_1(B) <-> k3_finseq_1(A) = np__0)))) # label(t32_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3589 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (A = k1_funct_1(B,np__1) & k3_finseq_1(B) = np__1 <-> B = k9_finseq_1(A)))) # label(t57_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3590 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (k1_xboole_0 = A <-> k2_relat_1(A) = k1_xboole_0))) # label(t27_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3591 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> ((all C all D ((exists E (v1_relat_1(E) & r1_xreal_0(np__1,k3_finseq_1(E)) & k1_funct_1(E,np__1) = C & (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,F) -> r1_xreal_0(k3_finseq_1(E),F) | r2_hidden(k4_tarski(k1_funct_1(E,F),k1_funct_1(E,k1_nat_1(F,np__1))),A)))) & k1_funct_1(E,k3_finseq_1(E)) = D & v1_finseq_1(E) & v1_funct_1(E))) & r2_hidden(D,k3_relat_1(A)) & r2_hidden(C,k3_relat_1(A)) <-> r2_hidden(k4_tarski(C,D),B))) <-> k17_finseq_1(A) = B))))) # label(d16_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3592 $T # label(t53_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3593 $T # label(t51_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3594 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (k9_finseq_1(A) = B <-> np__1 = k3_finseq_1(B) & k2_relat_1(B) = k1_tarski(A)))) # label(t56_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3595 (all A (v1_funct_1(A) & v1_finseq_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]. 26.08/25.51 3596 (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]. 26.08/25.51 3597 $T # label(t34_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3598 (all A (v1_funct_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(B),k1_relat_1(A)) -> v1_relat_1(k5_relat_1(B,A)) & v1_funct_1(k5_relat_1(B,A)) & v1_finseq_1(k5_relat_1(B,A))))))) # label(t20_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3599 $T # label(t22_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3600 (all A all B (v4_ordinal2(B) -> ((exists C (A = C & r1_xreal_0(C,B) & r1_xreal_0(np__1,C) & m2_subset_1(C,k1_numbers,k5_numbers))) <-> r2_hidden(A,a_1_0_finseq_1(B))))) # label(fraenkel_a_1_0_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3601 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> k7_finseq_1(A,k7_finseq_1(B,C)) = k7_finseq_1(k7_finseq_1(A,B),C))))))) # label(t45_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3602 (all A (v4_ordinal2(A) -> k1_finseq_1(A) = k2_finseq_1(A))) # label(redefinition_k2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3603 (all A (v1_relat_1(A) -> v1_relat_1(k17_finseq_1(A)))) # label(dt_k17_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3604 (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]. 26.08/25.51 3605 (all A all B (B = k13_finseq_1(A) <-> (all C (m2_finseq_1(C,A) <-> r2_hidden(C,B))))) # label(d11_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3606 (exists A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A))) # label(rc1_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3607 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> -(r2_hidden(A,B) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(r2_hidden(C,k4_finseq_1(B)) & A = k4_tarski(C,k1_funct_1(B,C)))))))) # label(t16_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3608 $T # label(t70_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3609 (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]. 26.08/25.51 3610 $T # label(t30_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3611 (all A all B (m2_finseq_1(B,A) -> v1_funct_1(B) & v1_finseq_1(B) & m2_relset_1(B,k5_numbers,A))) # label(dt_m2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3612 (all A (v1_relat_1(A) & v1_finset_1(A) -> v1_finset_1(k2_relat_1(A)))) # label(fc11_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3613 (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]. 26.08/25.51 3614 (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) <-> k1_xboole_0 = A))) # label(t72_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3615 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> k2_relat_1(k7_finseq_1(A,B)) = k2_xboole_0(k2_relat_1(A),k2_relat_1(B)))))) # label(t44_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3616 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m2_finseq_1(k12_finseq_1(A,B),A))) # label(dt_k12_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3617 (all A (v1_relat_1(A) & v1_funct_1(A) & v2_finseq_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]. 26.08/25.51 3618 (all A all B all C (m1_finseq_1(C,A) & m1_finseq_1(B,A) -> k8_finseq_1(A,B,C) = k7_finseq_1(B,C))) # label(redefinition_k8_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3619 $T # label(t13_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3620 $T # label(t54_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3621 (exists A (v1_finseq_1(A) & v1_finset_1(A) & v2_funct_1(A) & v1_funct_1(A) & v1_relat_1(A) & v1_xboole_0(A))) # label(rc3_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3622 (all A (v1_relat_1(A) -> ((exists B (m2_subset_1(B,k1_numbers,k5_numbers) & k1_relat_1(A) = k2_finseq_1(B))) <-> v1_finseq_1(A)))) # label(d2_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3623 $T # label(t67_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3624 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> r1_tarski(k4_finseq_1(A),k4_finseq_1(k7_finseq_1(A,B))))))) # label(t39_finseq_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3625 $T # label(t26_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3626 (all A (v1_relat_1(A) -> (all B (r4_relat_2(A,B) & r8_relat_2(A,B) & r1_relat_2(A,B) <-> r2_orders_1(A,B))))) # label(d7_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3627 (all A (v1_relat_1(A) -> (v8_relat_2(A) & v1_relat_2(A) <-> v1_orders_1(A)))) # label(d3_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3628 $T # label(t83_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3629 (all A (v1_relat_1(A) -> (all B (r3_orders_1(A,B) -> r2_orders_1(A,B) & r1_orders_1(A,B))))) # label(t125_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3630 $T # label(t15_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3631 (all A (v1_relat_1(A) -> (all B (v1_orders_1(A) -> v1_orders_1(k2_wellord1(A,B)))))) # label(t113_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3632 $T # label(t39_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3633 $T # label(t40_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3634 $T # label(t11_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3635 $T # label(t168_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3636 $T # label(t32_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3637 (all A (v1_relat_1(A) -> (all B all C (r9_orders_1(A,B) & r1_tarski(C,k3_relat_1(A)) & v1_relat_2(A) & r2_hidden(B,C) -> r5_orders_1(A,C))))) # label(t162_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3638 $T # label(t101_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3639 $T # label(t27_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3640 (all A all B (m2_relset_1(B,A,A) -> (r1_relat_2(B,A) -> k3_relat_1(B) = A & k4_relset_1(A,A,B) = A))) # label(t98_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3641 (all A (v1_relat_1(A) -> (all B (r2_orders_1(A,B) -> v4_relat_2(k2_wellord1(A,B)) & v8_relat_2(k2_wellord1(A,B)) & v1_partfun1(k2_wellord1(A,B),B,B) & m2_relset_1(k2_wellord1(A,B),B,B) & v1_relat_2(k2_wellord1(A,B)))))) # label(t141_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3642 (all A (v1_relat_1(A) -> (all B all C (r1_orders_1(A,B) & r1_tarski(C,B) -> r1_orders_1(A,C))))) # label(t128_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3643 $T # label(t81_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3644 (all A (v1_relat_1(A) -> (all B (r1_tarski(B,k3_relat_1(A)) & v1_relat_2(A) -> B = k3_relat_1(k2_wellord1(A,B)))))) # label(t181_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3645 $T # label(t74_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3646 $T # label(t24_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3647 (all A (v1_relat_1(A) -> (all B all C (r2_wellord1(A,B) & r1_tarski(C,B) -> r2_wellord1(A,C))))) # label(t187_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3648 $T # label(t90_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3649 (all A (v1_relat_1(A) -> (all B (r2_orders_1(A,B) -> r1_orders_1(A,B))))) # label(t126_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3650 $T # label(t57_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3651 $T # label(t50_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3652 $T # label(t102_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.08/25.51 3653 (all A (v1_relat_1(A) -> (all B (r2_wellord1(A,B) -> v1_relat_2(k2_wellord1(A,B)) & v8_relat_2(k2_wellord1(A,B)) & m2_relset_1(k2_wellord1(A,B),B,B) & v1_partfun1(k2_wellord1(A,B),B,B) & v4_relat_2(k2_wellord1(A,B)))))) # label(t143_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3654 $T # label(t56_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3655 (all A (v1_relat_1(A) -> (all B (r8_relat_2(A,B) -> v8_relat_2(k2_wellord1(A,B)))))) # label(t183_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3656 $T # label(t75_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3657 (all A all B all C (v1_relat_1(C) -> (r1_tarski(B,A) & r4_relat_2(C,A) -> r4_relat_2(C,B)))) # label(t94_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3658 $T # label(t79_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3659 $T # label(t76_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3660 $T # label(t82_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3661 $T # label(t53_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3662 (all A (v1_relat_1(A) -> (all B (r7_orders_1(k4_relat_1(A),B) <-> r6_orders_1(A,B))))) # label(t164_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3663 (all A all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v4_relat_2(B) & v1_relat_2(B) -> v2_orders_1(B))) # label(t110_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3664 $T # label(t145_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3665 (all A (v1_relat_1(A) -> (all B (r4_orders_1(A,B) <-> (all C -(r1_tarski(C,B) & (all D -((all E (r2_hidden(E,C) -> r2_hidden(k4_tarski(E,D),A))) & r2_hidden(D,B))) & v3_orders_1(k2_wellord1(A,C)))))))) # label(d9_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3666 $T # label(t72_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3667 $T # label(t154_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3668 (all A (v1_relat_1(A) -> (all B (r9_orders_1(k4_relat_1(A),B) <-> r8_orders_1(A,B))))) # label(t166_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3669 $T # label(t63_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3670 $T # label(t34_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3671 (all A (v1_relat_1(A) -> (all B (r5_orders_1(k4_relat_1(A),B) <-> r4_orders_1(A,B))))) # label(t151_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3672 $T # label(t20_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3673 $T # label(t144_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3674 $T # label(t43_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3675 (all A (v1_relat_1(A) -> (all B (r4_relat_2(A,B) -> r4_relat_2(k4_relat_1(A),B))))) # label(t191_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3676 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B -(v1_finset_1(B) & r1_tarski(B,k2_relat_1(A)) & (all C -(k9_relat_1(A,C) = B & v1_finset_1(C) & r1_tarski(C,k1_relat_1(A)))))))) # label(t195_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3677 $T # label(t153_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3678 (all A (v1_relat_1(A) -> (all B -(k3_relat_1(A) = B & (all C (v1_relat_1(C) -> -(r1_tarski(A,C) & r3_orders_1(C,B) & k3_relat_1(C) = B))) & r2_orders_1(A,B))))) # label(t179_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3679 (all A all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v4_relat_2(B) & v1_relat_2(B) -> r2_orders_1(B,A))) # label(t140_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3680 $T # label(t103_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3681 $T # label(t22_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3682 (all A -((all B -((all C -((all D (r2_hidden(D,B) -> r1_tarski(C,D))) & r2_hidden(C,A))) & v6_ordinal1(B) & r1_tarski(B,A))) & (all B -(r2_hidden(B,A) & (all C -(r2_hidden(C,A) & r1_tarski(C,B) & B != C)))) & A != k1_xboole_0)) # label(t176_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3683 (all A (v1_orders_1(k6_partfun1(A)) & v2_orders_1(k6_partfun1(A)))) # label(t120_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3684 (all A (v1_relat_1(A) -> (all B (v2_orders_1(A) -> v2_orders_1(k2_wellord1(A,B)))))) # label(t114_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3685 $T # label(t116_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3686 (all A all B (v1_relat_2(B) & v4_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) -> k3_relat_1(B) = A)) # label(t100_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3687 (all A all B all C all D all E (v1_relat_2(E) & v4_relat_2(E) & v8_relat_2(E) & v1_partfun1(E,A,A) & m2_relset_1(E,A,A) -> (r2_hidden(k4_tarski(C,D),E) & r2_hidden(k4_tarski(B,C),E) & r2_hidden(D,A) & r2_hidden(C,A) & r2_hidden(B,A) -> r2_hidden(k4_tarski(B,D),E)))) # label(t14_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3688 (all A (v1_relat_1(A) -> (all B all C (r3_orders_1(A,B) & r1_tarski(C,B) -> r3_orders_1(A,C))))) # label(t134_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3689 $T # label(t55_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3690 $T # label(t147_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3691 $T # label(t23_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3692 (all A (v1_relat_1(A) -> (v2_orders_1(A) -> v1_orders_1(A)))) # label(t109_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3693 $T # label(t71_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3694 (all A (v1_relat_1(A) -> (all B (r2_hidden(B,k3_relat_1(A)) & (all C (r2_hidden(C,k3_relat_1(A)) -> C = B | r2_hidden(k4_tarski(B,C),A))) <-> r9_orders_1(A,B))))) # label(d14_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3695 (all A (v1_relat_1(A) -> (all B (r6_orders_1(k4_relat_1(A),B) <-> r7_orders_1(A,B))))) # label(t163_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3696 $T # label(t171_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3697 (all A (v1_relat_1(A) -> (all B (r8_orders_1(A,B) <-> r2_hidden(B,k3_relat_1(A)) & (all C (r2_hidden(C,k3_relat_1(A)) -> r2_hidden(k4_tarski(C,B),A) | B = C)))))) # label(d13_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3698 $T # label(t61_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3699 (all A (v1_relat_1(A) -> (all B (r4_orders_1(k4_relat_1(A),B) <-> r5_orders_1(A,B))))) # label(t152_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3700 $T # label(t21_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3701 $T # label(t18_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3702 (all A (v1_relat_1(A) -> (all B (r7_orders_1(A,B) <-> (all C -(r2_hidden(C,k3_relat_1(A)) & r2_hidden(k4_tarski(C,B),A) & C != B)) & r2_hidden(B,k3_relat_1(A)))))) # label(d12_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3703 $T # label(t123_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3704 $T # label(t46_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3705 $T # label(t86_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3706 (all A (v1_relat_1(A) -> (all B (r2_orders_1(A,B) -> r2_orders_1(k4_relat_1(A),B))))) # label(t137_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3707 (all A (v1_relat_1(A) -> (v2_orders_1(A) -> v2_orders_1(k4_relat_1(A))))) # label(t105_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3708 (all A (v1_relat_1(A) -> (all B all C (r2_orders_1(A,B) & r1_tarski(C,B) -> r2_orders_1(A,C))))) # label(t131_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3709 $T # label(t58_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3710 (all A (v1_relat_1(A) -> (all B (r3_orders_1(A,B) <-> r4_relat_2(A,B) & r6_relat_2(A,B) & r8_relat_2(A,B) & r1_relat_2(A,B))))) # label(d8_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3711 (all A (v1_relat_1(A) -> r1_tarski(A,k2_zfmisc_1(k3_relat_1(A),k3_relat_1(A))))) # label(t180_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3712 (all A (r2_orders_1(k6_partfun1(A),A) & r1_orders_1(k6_partfun1(A),A))) # label(t146_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3713 (all A (-v1_xboole_0(A) -> (-r2_hidden(k1_xboole_0,A) -> (all B (v1_funct_1(B) & m2_relset_1(B,A,k3_tarski(A)) & v1_funct_2(B,A,k3_tarski(A)) -> (m1_orders_1(B,A) <-> (all C (r2_hidden(C,A) -> r2_hidden(k1_funct_1(B,C),C))))))))) # label(d1_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3714 $T # label(t28_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3715 $T # label(t1_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3716 $T # label(t3_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3717 (all A (v1_relat_1(A) -> (all B (r6_orders_1(A,B) & v6_relat_2(A) -> r8_orders_1(A,B))))) # label(t160_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3718 (all A (-v1_xboole_0(A) -> -v1_xboole_0(k1_orders_1(A)))) # label(fc1_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3719 $T # label(t42_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3720 $T # label(t51_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3721 (all A (v1_relat_1(A) -> (v6_relat_2(A) -> v6_relat_2(k4_relat_1(A))))) # label(t188_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3722 $T # label(t2_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3723 $T # label(t17_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3724 (all A (-v1_xboole_0(A) -> (all B (m1_orders_1(B,A) -> v1_funct_1(B) & m2_relset_1(B,A,k3_tarski(A)) & v1_funct_2(B,A,k3_tarski(A)))))) # label(dt_m1_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3725 (all A (v1_relat_1(A) -> (all B (r9_orders_1(A,B) & v4_relat_2(A) -> r7_orders_1(A,B))))) # label(t157_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3726 (all A (-v1_xboole_0(A) -> -r2_hidden(k1_xboole_0,k1_orders_1(A)))) # label(t4_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3727 $T # label(t148_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3728 (all A (v1_relat_1(A) -> (all B (v6_relat_2(A) & r7_orders_1(A,B) -> r9_orders_1(A,B))))) # label(t159_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3729 (all A (v1_relat_1(A) -> (all B (r6_relat_2(A,B) -> r6_relat_2(k4_relat_1(A),B))))) # label(t192_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3730 $T # label(t59_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3731 $T # label(t73_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3732 (all A (v1_relat_1(A) -> (all B (r8_relat_2(A,B) -> r8_relat_2(k4_relat_1(A),B))))) # label(t190_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3733 (all A (v1_relat_1(A) -> (all B (r2_orders_1(A,B) -> v2_orders_1(k2_wellord1(A,B)))))) # label(t132_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3734 (all A (-v1_xboole_0(A) -> r2_hidden(A,k1_orders_1(A)))) # label(t7_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3735 (all A (v1_relat_1(A) -> (v1_orders_1(A) -> r1_orders_1(A,k3_relat_1(A))))) # label(t127_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3736 (all A (v1_relat_1(A) -> (all B (r3_orders_1(A,B) -> r3_orders_1(k4_relat_1(A),B))))) # label(t138_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3737 (all A (v1_relat_1(A) -> (all B all C (r1_tarski(C,B) & r6_relat_2(A,B) -> r6_relat_2(A,C))))) # label(t186_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3738 (all A (v1_relat_1(A) -> (all B -(r2_orders_1(A,B) & B = k3_relat_1(A) & (all C -r6_orders_1(A,C)) & r4_orders_1(A,B))))) # label(t173_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3739 $T # label(t155_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3740 (all A (v1_relat_1(A) -> (v3_orders_1(A) <-> v1_relat_2(A) & v4_relat_2(A) & v6_relat_2(A) & v8_relat_2(A)))) # label(d5_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3741 $T # label(t118_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3742 $T # label(t29_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3743 $T # label(t37_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3744 (all A (v1_relat_1(A) -> (all B (r5_orders_1(A,B) <-> (all C -(r1_tarski(C,B) & (all D -((all E (r2_hidden(E,C) -> r2_hidden(k4_tarski(D,E),A))) & r2_hidden(D,B))) & v3_orders_1(k2_wellord1(A,C)))))))) # label(d10_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3745 (all A (v1_relat_1(A) -> (all B (r6_relat_2(A,B) -> v6_relat_2(k2_wellord1(A,B)))))) # label(t185_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3746 (all A (v1_relat_1(A) -> (all B (r1_orders_1(A,B) -> v1_orders_1(k2_wellord1(A,B)))))) # label(t129_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.51 3747 (all A -(A != k1_xboole_0 & (all B -((all C -((all D (r2_hidden(D,B) -> r1_tarski(D,C))) & r2_hidden(C,A))) & v6_ordinal1(B) & r1_tarski(B,A))) & (all B -(r2_hidden(B,A) & (all C -(r1_tarski(B,C) & C != B & r2_hidden(C,A))))))) # label(t175_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3748 $T # label(t8_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3749 (all A -((all B (v6_ordinal1(B) & r1_tarski(B,A) -> r2_hidden(k1_setfam_1(B),A) | B = k1_xboole_0)) & (all B -((all C -(C != B & r1_tarski(C,B) & r2_hidden(C,A))) & r2_hidden(B,A))) & k1_xboole_0 != A)) # label(t178_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3750 (all A (v1_relat_1(A) -> (all B (r6_orders_1(A,B) <-> r2_hidden(B,k3_relat_1(A)) & (all C -(C != B & r2_hidden(k4_tarski(B,C),A) & r2_hidden(C,k3_relat_1(A)))))))) # label(d11_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3751 $T # label(t30_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3752 $T # label(t38_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3753 $T # label(t49_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3754 $T # label(t117_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3755 $T # label(t85_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3756 (all A (v1_relat_1(A) -> (all B (r8_orders_1(k4_relat_1(A),B) <-> r9_orders_1(A,B))))) # label(t165_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3757 $T # label(t78_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3758 (all A all B all C (v1_relat_1(C) -> (r8_relat_2(C,A) & r1_tarski(B,A) -> r8_relat_2(C,B)))) # label(t95_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3759 $T # label(t172_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3760 (all A (v1_relat_1(A) -> (v3_orders_1(A) -> v3_orders_1(k4_relat_1(A))))) # label(t106_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3761 $T # label(t16_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3762 (all A (v1_relat_1(A) -> (all B (r1_relat_2(A,B) -> r1_relat_2(k4_relat_1(A),B))))) # label(t189_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3763 $T # label(t89_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3764 (all A (-v1_xboole_0(A) -> (exists B m1_orders_1(B,A)))) # label(existence_m1_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3765 (all A all B all C (v1_relat_1(C) -> (r1_relat_2(C,A) & r1_tarski(B,A) -> r1_relat_2(C,B)))) # label(t93_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3766 (all A (v1_relat_1(A) -> (all B (r3_orders_1(A,B) -> m2_relset_1(k2_wellord1(A,B),B,B) & v1_partfun1(k2_wellord1(A,B),B,B) & v8_relat_2(k2_wellord1(A,B)) & v4_relat_2(k2_wellord1(A,B)) & v1_relat_2(k2_wellord1(A,B)))))) # label(t142_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3767 $T # label(t41_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3768 (all A k1_orders_1(A) = k4_xboole_0(k1_zfmisc_1(A),k1_tarski(k1_xboole_0))) # label(d2_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3769 $T # label(dt_k1_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.11/25.52 3770 $T # label(t52_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3771 $T # label(t80_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3772 (all A (v1_relat_1(A) -> (all B -(k1_xboole_0 = B & r4_orders_1(A,B))))) # label(t149_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3773 $T # label(t10_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3774 $T # label(t77_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3775 (all A (-(k1_xboole_0 = k3_tarski(A) & (exists B (k1_xboole_0 != B & r2_hidden(B,A)))) & -(k3_tarski(A) != k1_xboole_0 & (all B -(k1_xboole_0 != B & r2_hidden(B,A)))))) # label(t91_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3776 (all A (v1_relat_1(A) -> (v1_orders_1(A) -> v1_orders_1(k4_relat_1(A))))) # label(t104_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3777 (all A all B all C (v1_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v8_relat_2(C) & v4_relat_2(C) -> (r2_hidden(B,A) -> r2_hidden(k4_tarski(B,B),C)))) # label(t12_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3778 (all A (v1_relat_1(A) -> (all B -(k1_xboole_0 = B & r5_orders_1(A,B))))) # label(t150_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3779 (all A (m1_subset_1(A,f1_s2_orders_1) -> p1_s2_orders_1(A,A))) & (all A (m1_subset_1(A,f1_s2_orders_1) -> (all B (m1_subset_1(B,f1_s2_orders_1) -> (p1_s2_orders_1(A,B) & p1_s2_orders_1(B,A) -> B = A))))) & (all A -((all B (m1_subset_1(B,f1_s2_orders_1) -> (all C (m1_subset_1(C,f1_s2_orders_1) -> -(-p1_s2_orders_1(B,C) & -p1_s2_orders_1(C,B) & r2_hidden(C,A) & r2_hidden(B,A)))))) & (all B (m1_subset_1(B,f1_s2_orders_1) -> (exists C (r2_hidden(C,A) & -p1_s2_orders_1(B,C) & m1_subset_1(C,f1_s2_orders_1))))) & r1_tarski(A,f1_s2_orders_1))) & (all A (m1_subset_1(A,f1_s2_orders_1) -> (all B (m1_subset_1(B,f1_s2_orders_1) -> (all C (m1_subset_1(C,f1_s2_orders_1) -> (p1_s2_orders_1(B,C) & p1_s2_orders_1(A,B) -> p1_s2_orders_1(A,C)))))))) -> (exists A ((all B (m1_subset_1(B,f1_s2_orders_1) -> -(A != B & p1_s2_orders_1(B,A)))) & m1_subset_1(A,f1_s2_orders_1))) # label(s2_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3780 $T # label(t60_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3781 $T # label(t47_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3782 $T # label(t169_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3783 $T # label(t88_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3784 $T # label(t87_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3785 (all A (v1_relat_1(A) -> (all B -(r2_orders_1(A,B) & (all C -r7_orders_1(A,C)) & r5_orders_1(A,B) & k3_relat_1(A) = B)))) # label(t174_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3786 $T # label(t36_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3787 $T # label(t9_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3788 $T # label(t19_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3789 $T # label(t167_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3790 $T # label(t33_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3791 $T # label(t170_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3792 $T # label(t66_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3793 (all A (v1_relat_1(A) -> (all B (r4_relat_2(A,B) -> v4_relat_2(k2_wellord1(A,B)))))) # label(t184_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3794 $T # label(t35_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3795 (all A (v1_relat_1(A) -> (all B (r1_orders_1(A,B) <-> r1_relat_2(A,B) & r8_relat_2(A,B))))) # label(d6_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3796 $T # label(t45_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3797 (all A (v1_relat_1(A) -> (all B (r1_orders_1(A,B) -> r1_orders_1(k4_relat_1(A),B))))) # label(t136_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3798 $T # label(t25_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3799 (all A (v1_relat_1(A) -> k1_xboole_0 = k2_wellord1(A,k1_xboole_0))) # label(t194_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3800 (all A (v1_relat_1(A) -> (all B (v3_orders_1(A) -> v3_orders_1(k2_wellord1(A,B)))))) # label(t115_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3801 (all A (v1_relat_1(A) -> (v2_wellord1(A) -> v3_orders_1(A) & v2_orders_1(A) & v1_orders_1(A)))) # label(t107_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3802 $T # label(t67_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3803 $T # label(t44_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3804 (all A (v1_relat_1(A) -> (all B (r1_relat_2(A,B) -> v1_relat_2(k2_wellord1(A,B)))))) # label(t182_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3805 $T # label(t70_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3806 $T # label(t64_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3807 (all A (v1_relat_1(A) -> (v3_orders_1(A) -> v1_orders_1(A) & v2_orders_1(A)))) # label(t108_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3808 (all A all B (v4_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> (v6_relat_2(B) -> v3_orders_1(B)))) # label(t112_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3809 $T # label(t156_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3810 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> A = k3_relat_1(B))) # label(t97_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3811 (all A all B all C (v1_relat_1(C) -> (r1_tarski(B,A) & r7_relat_2(C,A) -> r7_relat_2(C,B)))) # label(t96_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3812 $T # label(t31_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3813 (all A all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v4_relat_2(B) & v1_relat_2(B) -> k4_relset_1(A,A,B) = A & A = k5_relset_1(A,A,B))) # label(t99_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3814 (all A all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v4_relat_2(B) & v1_relat_2(B) -> v1_orders_1(B))) # label(t111_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3815 (all A all B (v1_relat_1(B) -> (r7_relat_2(B,A) <-> r6_relat_2(B,A) & r1_relat_2(B,A)))) # label(t92_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3816 $T # label(t122_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3817 (all A (v1_relat_1(A) -> (all B (v4_relat_2(A) & r8_orders_1(A,B) -> r6_orders_1(A,B))))) # label(t158_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3818 $T # label(t84_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3819 $T # label(t65_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3820 $T # label(t54_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3821 (all A all B all C all D (v1_relat_2(D) & v4_relat_2(D) & m2_relset_1(D,A,A) & v1_partfun1(D,A,A) & v8_relat_2(D) -> (r2_hidden(B,A) & r2_hidden(k4_tarski(B,C),D) & r2_hidden(k4_tarski(C,B),D) & r2_hidden(C,A) -> C = B))) # label(t13_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3822 $T # label(t62_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3823 (all A -((all B (v6_ordinal1(B) & r1_tarski(B,A) -> k1_xboole_0 = B | r2_hidden(k3_tarski(B),A))) & (all B -((all C -(C != B & r1_tarski(B,C) & r2_hidden(C,A))) & r2_hidden(B,A))) & k1_xboole_0 != A)) # label(t177_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3824 $T # label(t121_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3825 (all A (v1_relat_1(A) -> (v2_orders_1(A) -> r2_orders_1(A,k3_relat_1(A))))) # label(t130_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3826 $T # label(t68_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.55 3827 (all A (v1_relat_1(A) -> (all B (r3_orders_1(A,B) -> v3_orders_1(k2_wellord1(A,B)))))) # label(t135_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3828 (all A (v1_relat_1(A) -> (v3_orders_1(A) -> r3_orders_1(A,k3_relat_1(A))))) # label(t133_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3829 (all A all B (v4_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> r1_orders_1(B,A))) # label(t139_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3830 (all A (v1_relat_1(A) -> (all B k2_wellord1(k4_relat_1(A),B) = k4_relat_1(k2_wellord1(A,B))))) # label(t193_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3831 (all A (v1_relat_1(A) -> (all B all C (v1_relat_2(A) & r1_tarski(C,k3_relat_1(A)) & r8_orders_1(A,B) & r2_hidden(B,C) -> r4_orders_1(A,C))))) # label(t161_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3832 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (m1_subset_1(A,k1_zfmisc_1(B)) <-> r2_hidden(A,k1_orders_1(B))))))) # label(t6_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3833 $T # label(t48_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3834 (all A (m1_subset_1(A,f1_s1_orders_1) -> (all B (m1_subset_1(B,f1_s1_orders_1) -> (all C (m1_subset_1(C,f1_s1_orders_1) -> (p1_s1_orders_1(A,B) & p1_s1_orders_1(B,C) -> p1_s1_orders_1(A,C)))))))) & (all A -((all B (m1_subset_1(B,f1_s1_orders_1) -> (exists C (m1_subset_1(C,f1_s1_orders_1) & r2_hidden(C,A) & -p1_s1_orders_1(C,B))))) & (all B (m1_subset_1(B,f1_s1_orders_1) -> (all C (m1_subset_1(C,f1_s1_orders_1) -> -(r2_hidden(C,A) & -p1_s1_orders_1(B,C) & -p1_s1_orders_1(C,B) & r2_hidden(B,A)))))) & r1_tarski(A,f1_s1_orders_1))) & (all A (m1_subset_1(A,f1_s1_orders_1) -> (all B (m1_subset_1(B,f1_s1_orders_1) -> (p1_s1_orders_1(B,A) & p1_s1_orders_1(A,B) -> B = A))))) & (all A (m1_subset_1(A,f1_s1_orders_1) -> p1_s1_orders_1(A,A))) -> (exists A ((all B (m1_subset_1(B,f1_s1_orders_1) -> -(p1_s1_orders_1(A,B) & B != A))) & m1_subset_1(A,f1_s1_orders_1))) # label(s1_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3835 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r2_hidden(A,k1_orders_1(B)) <-> r1_tarski(A,B)))))) # label(t5_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3836 (all A (v1_relat_1(A) -> (all B (r2_wellord1(A,B) -> r1_orders_1(A,B) & r2_orders_1(A,B) & r3_orders_1(A,B))))) # label(t124_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3837 $T # label(t69_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3838 (all A (v1_relat_1(A) -> (v8_relat_2(A) & v4_relat_2(A) & v1_relat_2(A) <-> v2_orders_1(A)))) # label(d4_orders_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3839 (all A exists B m1_eqrel_1(B,A)) # label(existence_m1_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3840 (all A all B all C (m1_relset_1(B,A,A) & m1_relset_1(C,A,A) -> m2_relset_1(k2_eqrel_1(A,B,C),A,A))) # label(dt_k2_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3841 (all A all B (v3_relat_2(B) & v8_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) -> m1_eqrel_1(k8_eqrel_1(A,B),A))) # label(dt_k8_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3842 (all A all B (v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> m1_eqrel_1(k7_eqrel_1(A,B),A))) # label(t42_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3843 (all A all B (r2_hidden(B,A) -> A = k6_eqrel_1(A,k1_eqrel_1(A),B))) # label(t34_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3844 (all A all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> ((all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,C) <-> (exists E (r2_hidden(E,A) & k6_eqrel_1(A,B,E) = D))))) <-> C = k7_eqrel_1(A,B)))))) # label(d5_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3845 (all A all B (-v1_xboole_0(A) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> -v1_xboole_0(k7_eqrel_1(A,B)) & v1_setfam_1(k7_eqrel_1(A,B)))) # label(fc4_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3846 (all A all B (m1_eqrel_1(B,A) -> (exists C (v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & B = k7_eqrel_1(A,C) & v8_relat_2(C) & v3_relat_2(C))))) # label(t43_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3847 (all A all B (v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> (all C (v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v8_relat_2(C) -> (all D (m2_relset_1(D,A,A) & v1_partfun1(D,A,A) & v8_relat_2(D) & v3_relat_2(D) -> (D = k5_eqrel_1(A,B,C) <-> r1_tarski(k3_eqrel_1(A,B,C),D) & (all E (v1_partfun1(E,A,A) & m2_relset_1(E,A,A) & v8_relat_2(E) & v3_relat_2(E) -> (r1_tarski(k3_eqrel_1(A,B,C),E) -> r1_tarski(D,E))))))))))) # label(d3_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3848 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C -((all D -r2_hidden(C,k6_eqrel_1(A,B,D))) & r2_hidden(C,A))))) # label(t29_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3849 $T # label(t8_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3850 (all A all B all C (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & v3_relat_2(C) & v1_partfun1(C,A,A) & m1_relset_1(C,A,A) & v8_relat_2(C) & m1_relset_1(B,A,A) -> k4_eqrel_1(A,B,C) = k4_eqrel_1(A,C,B))) # label(commutativity_k4_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3851 $T # label(t41_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3852 (all A all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (all C (v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v8_relat_2(C) & v3_relat_2(C) -> -(k3_eqrel_1(A,B,C) = k1_eqrel_1(A) & k1_eqrel_1(A) != C & k1_eqrel_1(A) != B))))) # label(t38_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3853 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> (all C (r2_hidden(C,A) -> r2_hidden(C,k6_eqrel_1(A,B,C)))))) # label(t28_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3854 (all A (v3_relat_2(k1_eqrel_1(A)) & m2_relset_1(k1_eqrel_1(A),A,A) & v1_partfun1(k1_eqrel_1(A),A,A) & v8_relat_2(k1_eqrel_1(A)))) # label(t7_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3855 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> (all C all D -(k6_eqrel_1(A,B,C) != k6_eqrel_1(A,B,D) & -r1_xboole_0(k6_eqrel_1(A,B,C),k6_eqrel_1(A,B,D)) & r2_hidden(D,A) & r2_hidden(C,A))))) # label(t32_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3856 (all A all B all C (m1_relset_1(C,A,A) & m1_relset_1(B,A,A) -> m2_relset_1(k3_eqrel_1(A,B,C),A,A))) # label(dt_k3_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3857 (all A all B all C (m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> m1_subset_1(k6_eqrel_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k6_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3858 $T # label(d2_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3859 (all A all B (r2_hidden(B,A) -> k1_tarski(B) = k6_eqrel_1(A,k6_partfun1(A),B))) # label(t33_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3860 (all A all B (m1_eqrel_1(B,A) -> v1_setfam_1(B))) # label(cc2_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3861 (all A all B all C all D all E (v8_relat_2(E) & v1_partfun1(E,A,A) & m2_relset_1(E,A,A) -> (r2_hidden(k4_tarski(C,D),E) & r2_hidden(k4_tarski(B,C),E) -> r2_hidden(k4_tarski(B,D),E)))) # label(t13_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3862 (all A all B all C (v1_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) -> (r2_hidden(B,A) -> r2_hidden(k4_tarski(B,B),C)))) # label(t11_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3863 (all A all B (p1_s1_eqrel_1(A,B) -> p1_s1_eqrel_1(B,A))) & (all A all B all C (p1_s1_eqrel_1(B,C) & p1_s1_eqrel_1(A,B) -> p1_s1_eqrel_1(A,C))) & (all A (r2_hidden(A,f1_s1_eqrel_1) -> p1_s1_eqrel_1(A,A))) -> (exists A (v3_relat_2(A) & v1_partfun1(A,f1_s1_eqrel_1,f1_s1_eqrel_1) & (all B all C (r2_hidden(k4_tarski(B,C),A) <-> p1_s1_eqrel_1(B,C) & r2_hidden(C,f1_s1_eqrel_1) & r2_hidden(B,f1_s1_eqrel_1))) & m2_relset_1(A,f1_s1_eqrel_1,f1_s1_eqrel_1) & v8_relat_2(A))) # label(s1_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3864 (all A all B all C (v3_relat_2(B) & v8_relat_2(B) & v8_relat_2(C) & v1_partfun1(C,A,A) & m1_relset_1(C,A,A) & v3_relat_2(C) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) -> k3_xboole_0(B,C) = k4_eqrel_1(A,B,C))) # label(redefinition_k4_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3865 (all A (v3_relat_2(k1_eqrel_1(A)) & v8_relat_2(k1_eqrel_1(A)) & v1_partfun1(k1_eqrel_1(A),A,A) & v1_relat_2(k1_eqrel_1(A)) & v1_relat_1(k1_eqrel_1(A)))) # label(fc2_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3866 (all A all B (m1_eqrel_1(B,A) -> m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))))) # label(dt_m1_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3867 (all A m2_relset_1(k1_eqrel_1(A),A,A)) # label(dt_k1_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3868 $T # label(t10_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3869 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) -> k5_eqrel_1(A,B,B) = B)) # label(t22_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3870 (all A all B (v3_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> k7_eqrel_1(A,B) = k8_eqrel_1(A,B))) # label(redefinition_k8_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3871 $T # label(t15_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3872 (all A all B all C (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v3_relat_2(C) & m1_relset_1(C,A,A) & v1_partfun1(C,A,A) & v8_relat_2(C) -> k5_eqrel_1(A,B,B) = B)) # label(idempotence_k5_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3873 (all A all B all C (v3_relat_2(C) & m2_relset_1(C,B,B) & v1_partfun1(C,B,B) & v8_relat_2(C) -> -((all D (m1_subset_1(D,B) -> A != k6_eqrel_1(B,C,D))) & r2_hidden(A,k7_eqrel_1(B,C))))) # label(t45_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3874 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) -> (all C (v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v8_relat_2(C) -> k5_eqrel_1(A,C,B) = k5_eqrel_1(A,B,C))))) # label(t23_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3875 (all A (v3_relat_2(k6_partfun1(A)) & v1_partfun1(k6_partfun1(A),A,A) & m2_relset_1(k6_partfun1(A),A,A) & v8_relat_2(k6_partfun1(A)))) # label(t6_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3876 (all A all B (m2_relset_1(B,A,A) -> (v1_relat_2(B) & v3_relat_2(B) & k3_relat_1(B) = A & v8_relat_2(B) <-> v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A)))) # label(t16_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3877 $T # label(t2_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3878 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> -(k1_xboole_0 = B & (exists C r2_hidden(C,A))))) # label(t14_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3879 (all A all B all C (m1_relset_1(C,A,A) & m1_relset_1(B,A,A) -> k3_eqrel_1(A,C,B) = k3_eqrel_1(A,B,C))) # label(commutativity_k3_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3880 (all A all B all C (v8_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v3_relat_2(C) -> (all D (r2_hidden(D,A) -> (k6_eqrel_1(A,C,B) = k6_eqrel_1(A,C,D) <-> r2_hidden(B,k6_eqrel_1(A,C,D))))))) # label(t31_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3881 (all A all B (v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> (A = k1_xboole_0 -> k1_xboole_0 = k7_eqrel_1(A,B)))) # label(t40_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3882 (all A all B (v3_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> m1_subset_1(k7_eqrel_1(A,B),k1_zfmisc_1(k1_zfmisc_1(A))))) # label(dt_k7_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3883 (all A (-v1_xboole_0(A) -> (all B (m1_eqrel_1(B,A) -> -v1_xboole_0(B))))) # label(cc1_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3884 (all A all B all C (v3_relat_2(C) & v8_relat_2(C) & m1_relset_1(C,A,A) & v1_partfun1(C,A,A) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> v3_relat_2(k5_eqrel_1(A,B,C)) & v1_partfun1(k5_eqrel_1(A,B,C),A,A) & m2_relset_1(k5_eqrel_1(A,B,C),A,A) & v8_relat_2(k5_eqrel_1(A,B,C)))) # label(dt_k5_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3885 (all A all B all C (m1_relset_1(C,A,A) & m1_relset_1(B,A,A) -> B = k2_eqrel_1(A,B,B))) # label(idempotence_k2_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3886 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,A)))) -> ((all C (r2_hidden(C,B) -> v3_relat_2(C) & v8_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A))) -> k1_xboole_0 = B | m2_relset_1(k6_setfam_1(k2_zfmisc_1(A,A),B),A,A) & v1_partfun1(k6_setfam_1(k2_zfmisc_1(A,A),B),A,A) & v8_relat_2(k6_setfam_1(k2_zfmisc_1(A,A),B)) & v3_relat_2(k6_setfam_1(k2_zfmisc_1(A,A),B))))) # label(t19_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3887 (all A all B (v3_relat_2(B) & v8_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & -v1_xboole_0(A) -> -v1_xboole_0(k7_eqrel_1(A,B)))) # label(fc3_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3888 (all A k2_zfmisc_1(A,A) = k1_eqrel_1(A)) # label(d1_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3889 (all A all B all C all D (v1_partfun1(D,A,A) & m2_relset_1(D,A,A) & v3_relat_2(D) & v1_relat_2(D) -> (r2_hidden(B,k6_eqrel_1(A,D,C)) <-> r2_hidden(k4_tarski(B,C),D)))) # label(t27_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3890 (all A all B all C (v8_relat_2(B) & v1_partfun1(C,A,A) & m1_relset_1(C,A,A) & v8_relat_2(C) & v3_relat_2(C) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> k4_eqrel_1(A,B,B) = B)) # label(idempotence_k4_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3891 $T # label(t3_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3892 (all A all B all C (m1_relset_1(B,A,A) & m1_relset_1(C,A,A) -> k3_eqrel_1(A,B,B) = B)) # label(idempotence_k3_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3893 (all A all B (m2_relset_1(B,A,A) -> k2_eqrel_1(A,k1_eqrel_1(A),B) = B)) # label(t18_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3894 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> ((exists C A = k6_eqrel_1(A,B,C)) -> B = k1_eqrel_1(A)))) # label(t35_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3895 (all A all B all C all D all E (v1_relat_2(E) & m2_relset_1(E,A,A) & v1_partfun1(E,A,A) & v8_relat_2(E) & v3_relat_2(E) -> (r2_hidden(B,k6_eqrel_1(A,E,C)) & r2_hidden(D,k6_eqrel_1(A,E,C)) -> r2_hidden(k4_tarski(B,D),E)))) # label(t30_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3896 (all A all B all C all D (v8_relat_2(D) & m2_relset_1(D,B,B) & v1_partfun1(D,B,B) & v3_relat_2(D) -> (all E (v3_relat_2(E) & m2_relset_1(E,B,B) & v1_partfun1(E,B,B) & v8_relat_2(E) -> (r2_hidden(A,B) -> ((exists F (v1_funct_1(F) & v1_finseq_1(F) & k1_funct_1(F,np__1) = A & C = k1_funct_1(F,k3_finseq_1(F)) & (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,G) -> r2_hidden(k4_tarski(k1_funct_1(F,G),k1_funct_1(F,k1_nat_1(G,np__1))),k3_eqrel_1(B,D,E)) | r1_xreal_0(k3_finseq_1(F),G)))) & r1_xreal_0(np__1,k3_finseq_1(F)) & v1_relat_1(F))) <-> r2_hidden(k4_tarski(A,C),k5_eqrel_1(B,D,E)))))))) # label(t36_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3897 (all A all B (v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> (all C (v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v8_relat_2(C) -> (all D (v3_relat_2(D) & v1_partfun1(D,A,A) & m2_relset_1(D,A,A) & v8_relat_2(D) -> (k3_eqrel_1(A,B,C) = D -> (all E -(k6_eqrel_1(A,D,E) != k6_eqrel_1(A,C,E) & k6_eqrel_1(A,D,E) != k6_eqrel_1(A,B,E) & r2_hidden(E,A)))))))))) # label(t37_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.59 3898 $T # label(t26_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3899 $T # label(t9_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3900 $T # label(t39_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3901 $T # label(t21_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3902 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (A != k1_xboole_0 -> ((all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r2_hidden(C,B) -> k1_xboole_0 != C & (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> -(r2_hidden(D,B) & D != C & -r1_xboole_0(C,D))))))) & k5_setfam_1(A,B) = A <-> m1_eqrel_1(B,A))) & (k1_xboole_0 = A -> (m1_eqrel_1(B,A) <-> k1_xboole_0 = B)))) # label(d6_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3903 (all A all B all C (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(C,A,A) & m1_relset_1(C,A,A) & v8_relat_2(C) & v3_relat_2(C) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) -> k5_eqrel_1(A,B,C) = k5_eqrel_1(A,C,B))) # label(commutativity_k5_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3904 $T # label(t5_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3905 (all A all B all C (m1_relset_1(B,A,A) & m1_relset_1(C,A,A) -> k3_xboole_0(B,C) = k2_eqrel_1(A,B,C))) # label(redefinition_k2_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3906 (all A (v1_relat_2(k1_eqrel_1(A)) & v1_partfun1(k1_eqrel_1(A),A,A) & v1_relat_1(k1_eqrel_1(A)))) # label(fc1_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3907 (all A all B all C (v8_relat_2(B) & v3_relat_2(C) & v1_partfun1(C,A,A) & m1_relset_1(C,A,A) & v8_relat_2(C) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> v3_relat_2(k4_eqrel_1(A,B,C)) & v8_relat_2(k4_eqrel_1(A,B,C)) & v1_partfun1(k4_eqrel_1(A,B,C),A,A) & m2_relset_1(k4_eqrel_1(A,B,C),A,A))) # label(dt_k4_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3908 $T # label(t1_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3909 (all A all B all C all D (m2_relset_1(D,A,A) & v1_partfun1(D,A,A) & v3_relat_2(D) -> (r2_hidden(k4_tarski(B,C),D) -> r2_hidden(k4_tarski(C,B),D)))) # label(t12_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3910 (all A (r8_relat_2(k6_partfun1(A),A) & r3_relat_2(k6_partfun1(A),A) & r1_relat_2(k6_partfun1(A),A))) # label(t4_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3911 (all A all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (all C (v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v8_relat_2(C) -> k5_eqrel_1(A,B,k4_eqrel_1(A,B,C)) = B)))) # label(t25_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3912 (all A all B all C (v8_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v3_relat_2(C) -> (all D (r2_hidden(D,A) -> (r2_hidden(k4_tarski(D,B),C) <-> k6_eqrel_1(A,C,B) = k6_eqrel_1(A,C,D)))))) # label(t44_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3913 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> k4_eqrel_1(A,k6_partfun1(A),B) = k6_partfun1(A))) # label(t17_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3914 (all A all B (v3_relat_2(B) & v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> (all C (m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v8_relat_2(C) & v3_relat_2(C) -> B = k4_eqrel_1(A,B,k5_eqrel_1(A,B,C)))))) # label(t24_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3915 (all A all B all C (m1_relset_1(B,A,A) & m1_relset_1(C,A,A) -> k3_eqrel_1(A,B,C) = k2_xboole_0(B,C))) # label(redefinition_k3_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3916 (all A all B all C (m1_relset_1(B,A,A) & m1_relset_1(C,A,A) -> k2_eqrel_1(A,B,C) = k2_eqrel_1(A,C,B))) # label(commutativity_k2_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3917 (all A all B (v1_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> (all C k10_relset_1(A,A,B,k1_tarski(C)) = k6_eqrel_1(A,B,C)))) # label(d4_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3918 (all A all B (m2_relset_1(B,A,A) -> (exists C (v8_relat_2(C) & (all D (v3_relat_2(D) & v8_relat_2(D) & m2_relset_1(D,A,A) & v1_partfun1(D,A,A) -> (r1_tarski(B,D) -> r1_tarski(C,D)))) & r1_tarski(B,C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v3_relat_2(C))))) # label(t20_eqrel_1) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3919 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_relat_1(C),k1_funct_2(A,B)) -> k1_relat_1(k4_funct_5(C)) = k2_zfmisc_1(k1_relat_1(C),A) & k2_zfmisc_1(A,k1_relat_1(C)) = k1_relat_1(k6_funct_5(C))))) # label(t33_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3920 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(k3_funct_5(B))) -> v1_relat_1(k1_funct_1(k3_funct_5(B),A)) & v1_funct_1(k1_funct_1(k3_funct_5(B),A))))) # label(t37_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3921 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_funct_1(k3_funct_5(A)) & v1_relat_1(k3_funct_5(A)))) # label(dt_k3_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3922 (all A all B (r1_tarski(k2_funct_5(k2_zfmisc_1(A,B)),B) & r1_tarski(k1_funct_5(k2_zfmisc_1(A,B)),A))) # label(t12_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3923 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) & r1_tarski(k2_relat_1(D),k4_partfun1(A,B)) & k4_funct_5(C) = k4_funct_5(D) -> r2_hidden(k1_xboole_0,k2_relat_1(C)) | r2_hidden(k1_xboole_0,k2_relat_1(D)) | D = C))))) # label(t61_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3924 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> -((all E (v1_funct_1(E) & v1_relat_1(E) -> -(A = k1_relat_1(E) & r1_tarski(k2_relat_1(E),k2_relat_1(D)) & (all F (r2_hidden(F,A) -> k1_funct_1(E,F) = k1_funct_1(D,k4_tarski(F,C)))) & E = k1_funct_1(k5_funct_5(D),C)))) & r2_hidden(C,B) & k1_relat_1(D) = k2_zfmisc_1(A,B) & k1_xboole_0 != k2_zfmisc_1(A,B)))) # label(t39_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3925 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_relat_1(C),k1_funct_2(A,B)) -> r1_tarski(k2_relat_1(k4_funct_5(C)),B) & r1_tarski(k2_relat_1(k6_funct_5(C)),B)))) # label(t48_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3926 (all A all B (k1_card_1(A) = k1_card_1(k1_funct_2(k1_tarski(B),A)) & r2_wellord2(A,k1_funct_2(k1_tarski(B),A)))) # label(t65_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3927 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k1_funct_1(C,A) = D & r2_hidden(B,k1_relat_1(D)) & r2_hidden(A,k1_relat_1(C)) -> r2_hidden(k4_tarski(A,B),k1_relat_1(k4_funct_5(C))) & r2_hidden(k1_funct_1(D,B),k2_relat_1(k4_funct_5(C))) & k1_funct_1(D,B) = k1_funct_1(k4_funct_5(C),k4_tarski(A,B))))))) # label(t45_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3928 $T # label(t22_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3929 (exists A (k1_relat_1(A) = f1_s1_funct_5 & (all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(B,f1_s1_funct_5) -> k1_funct_1(A,B) = f2_s1_funct_5(B)))) & v1_funct_1(A) & v1_relat_1(A))) # label(s1_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3930 (all A all B all C (r2_hidden(k4_tarski(A,B),C) -> r2_hidden(B,k2_funct_5(C)) & r2_hidden(A,k1_funct_5(C)))) # label(t4_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3931 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(C) = k2_zfmisc_1(A,B) -> r1_tarski(k2_relat_1(k5_funct_5(C)),k1_funct_2(A,k2_relat_1(C))) & r1_tarski(k2_relat_1(k3_funct_5(C)),k1_funct_2(B,k2_relat_1(C)))))) # label(t42_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3932 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (D = k1_funct_1(k5_funct_5(C),B) & r2_hidden(k4_tarski(A,B),k1_relat_1(C)) -> k1_funct_1(C,k4_tarski(A,B)) = k1_funct_1(D,A) & r2_hidden(A,k1_relat_1(D))))))) # label(t29_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3933 (all A (v1_funct_1(A) & v1_relat_1(A) -> k6_funct_5(A) = k2_funct_4(k4_funct_5(A)))) # label(d6_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3934 (all A (k2_funct_5(A) = k1_xboole_0 | k1_xboole_0 = k1_funct_5(A) -> (all B all C -r2_hidden(k4_tarski(B,C),A)))) # label(t18_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3935 (all A all B ((all C (r2_hidden(C,B) <-> (exists D r2_hidden(k4_tarski(C,D),A)))) <-> k1_funct_5(A) = B)) # label(d1_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3936 (all A all B all C (A != B -> k1_card_1(k2_zfmisc_1(C,C)) = k1_card_1(k1_funct_2(k2_tarski(A,B),C)) & r2_wellord2(k1_funct_2(k2_tarski(A,B),C),k2_zfmisc_1(C,C)))) # label(t73_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3937 (all A all B all C (r2_wellord2(k1_funct_2(A,k2_zfmisc_1(B,C)),k2_zfmisc_1(k1_funct_2(A,B),k1_funct_2(A,C))) & k1_card_1(k1_funct_2(A,k2_zfmisc_1(B,C))) = k1_card_1(k2_zfmisc_1(k1_funct_2(A,B),k1_funct_2(A,C))))) # label(t71_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3938 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(k2_relat_1(D),k4_partfun1(A,B)) & k6_funct_5(C) = k6_funct_5(D) & r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) -> C = D | r2_hidden(k1_xboole_0,k2_relat_1(D)) | r2_hidden(k1_xboole_0,k2_relat_1(C))))))) # label(t62_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3939 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) -> r1_tarski(k1_relat_1(k6_funct_5(C)),k2_zfmisc_1(A,k1_relat_1(C))) & r1_tarski(k1_relat_1(k4_funct_5(C)),k2_zfmisc_1(k1_relat_1(C),A))))) # label(t44_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3940 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> -(k2_zfmisc_1(A,B) != k1_xboole_0 & (all E (v1_relat_1(E) & v1_funct_1(E) -> -(E = k1_funct_1(k3_funct_5(D),C) & r1_tarski(k2_relat_1(E),k2_relat_1(D)) & (all F (r2_hidden(F,B) -> k1_funct_1(D,k4_tarski(C,F)) = k1_funct_1(E,F))) & k1_relat_1(E) = B))) & r2_hidden(C,A) & k2_zfmisc_1(A,B) = k1_relat_1(D)))) # label(t36_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3941 (all A all B all C all D (k1_funct_5(k2_tarski(k4_tarski(A,B),k4_tarski(C,D))) = k2_tarski(A,C) & k2_funct_5(k2_tarski(k4_tarski(A,B),k4_tarski(C,D))) = k2_tarski(B,D))) # label(t16_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3942 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k6_funct_5(A)) & v1_funct_1(k6_funct_5(A)))) # label(dt_k6_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3943 (all A all B (-(k2_zfmisc_1(A,B) = k1_xboole_0 & k1_xboole_0 = k2_zfmisc_1(B,A) & A = k1_xboole_0) -> B = k1_funct_5(k2_zfmisc_1(B,A)) & B = k2_funct_5(k2_zfmisc_1(A,B)))) # label(t11_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3944 (all A all B k1_funct_2(A,k1_tarski(B)) = k1_tarski(k2_funcop_1(A,B))) # label(t66_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3945 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k5_funct_5(A)) & v1_relat_1(k5_funct_5(A)))) # label(dt_k5_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3946 $T # label(t24_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3947 (all A all B all C (k1_card_1(k1_funct_2(k2_zfmisc_1(A,B),C)) = k1_card_1(k1_funct_2(A,k1_funct_2(B,C))) & r2_wellord2(k1_funct_2(k2_zfmisc_1(A,B),C),k1_funct_2(A,k1_funct_2(B,C))))) # label(t70_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3948 (all A all B all C (r1_xboole_0(A,B) -> k1_card_1(k1_funct_2(k2_xboole_0(A,B),C)) = k1_card_1(k2_zfmisc_1(k1_funct_2(A,C),k1_funct_2(B,C))) & r2_wellord2(k1_funct_2(k2_xboole_0(A,B),C),k2_zfmisc_1(k1_funct_2(A,C),k1_funct_2(B,C))))) # label(t69_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3949 (all A (v1_relat_1(A) & v1_funct_1(A) -> k2_funct_5(k1_relat_1(A)) = k1_relat_1(k5_funct_5(A)))) # label(t30_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3950 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> k4_funct_5(k3_funct_5(C)) = C & k6_funct_5(k5_funct_5(C)) = C))) # label(t57_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3951 $T # label(t2_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3952 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (k1_relat_1(C) = k2_zfmisc_1(A,B) -> k6_funct_5(k5_funct_5(C)) = C & k4_funct_5(k3_funct_5(C)) = C))) # label(t56_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3953 (all A all B all C all D (k1_card_1(A) = k1_card_1(B) & k1_card_1(D) = k1_card_1(C) -> k1_card_1(k1_funct_2(A,C)) = k1_card_1(k1_funct_2(B,D)))) # label(t68_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3954 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (k1_relat_1(C) = k2_zfmisc_1(A,B) & k2_zfmisc_1(A,B) = k1_relat_1(D) & k3_funct_5(D) = k3_funct_5(C) -> D = C))))) # label(t51_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3955 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_relat_1(C),k1_funct_2(A,B)) -> k1_xboole_0 = A | k5_funct_5(k6_funct_5(C)) = C & k3_funct_5(k4_funct_5(C)) = C))) # label(t55_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3956 $T # label(dt_k1_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3957 (all A ((all B all C -r2_hidden(k4_tarski(B,C),A)) -> k1_xboole_0 = k1_funct_5(A) & k1_xboole_0 = k2_funct_5(A))) # label(t17_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3958 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) & k5_funct_5(C) = k5_funct_5(D) & r1_tarski(k1_relat_1(D),k2_zfmisc_1(A,B)) -> D = C))))) # label(t60_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3959 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r1_tarski(k2_relat_1(C),k1_funct_2(A,B)) & r1_tarski(k2_relat_1(D),k1_funct_2(A,B)) & k6_funct_5(C) = k6_funct_5(D) -> k1_xboole_0 = A | C = D))))) # label(t54_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3960 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((all B all C -r2_hidden(k4_tarski(B,C),k1_relat_1(A))) -> k3_funct_5(A) = k1_xboole_0 & k5_funct_5(A) = k1_xboole_0))) # label(t34_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3961 (all A (v1_relat_1(A) & v1_funct_1(A) -> r1_tarski(k2_relat_1(k3_funct_5(A)),k4_partfun1(k2_funct_5(k1_relat_1(A)),k2_relat_1(A))) & r1_tarski(k2_relat_1(k5_funct_5(A)),k4_partfun1(k1_funct_5(k1_relat_1(A)),k2_relat_1(A))))) # label(t43_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3962 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (k1_funct_1(k5_funct_5(B),A) = C & r2_hidden(A,k1_relat_1(k5_funct_5(B))) -> r1_tarski(k2_relat_1(C),k2_relat_1(B)) & (all D (r2_hidden(D,k1_relat_1(C)) -> r2_hidden(k4_tarski(D,A),k1_relat_1(B)) & k1_funct_1(C,D) = k1_funct_1(B,k4_tarski(D,A)))) & r1_tarski(k1_relat_1(C),k1_funct_5(k1_relat_1(B))) & k1_funct_5(k3_xboole_0(k1_relat_1(B),k2_zfmisc_1(k1_funct_5(k1_relat_1(B)),k1_tarski(A)))) = k1_relat_1(C)))))) # label(t41_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3963 (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(k3_funct_5(B))) & k1_funct_1(k3_funct_5(B),A) = C -> k1_relat_1(C) = k2_funct_5(k3_xboole_0(k1_relat_1(B),k2_zfmisc_1(k1_tarski(A),k2_funct_5(k1_relat_1(B))))) & r1_tarski(k1_relat_1(C),k2_funct_5(k1_relat_1(B))) & (all D (r2_hidden(D,k1_relat_1(C)) -> k1_funct_1(B,k4_tarski(A,D)) = k1_funct_1(C,D) & r2_hidden(k4_tarski(A,D),k1_relat_1(B)))) & r1_tarski(k2_relat_1(C),k2_relat_1(B))))))) # label(t38_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3964 (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_funct_5(k1_relat_1(A)) & (all C -((all D (v1_relat_1(D) & v1_funct_1(D) -> -(D = k1_funct_1(B,C) & k2_funct_5(k3_xboole_0(k1_relat_1(A),k2_zfmisc_1(k1_tarski(C),k2_funct_5(k1_relat_1(A))))) = k1_relat_1(D) & (all E (r2_hidden(E,k1_relat_1(D)) -> k1_funct_1(D,E) = k1_funct_1(A,k4_tarski(C,E))))))) & r2_hidden(C,k1_funct_5(k1_relat_1(A))))) <-> k3_funct_5(A) = B))))) # label(d3_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3965 (all A all B (k2_funct_5(k2_xboole_0(A,B)) = k2_xboole_0(k2_funct_5(A),k2_funct_5(B)) & k2_xboole_0(k1_funct_5(A),k1_funct_5(B)) = k1_funct_5(k2_xboole_0(A,B)))) # label(t6_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3966 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (k1_relat_1(C) = k2_zfmisc_1(A,B) -> k1_relat_1(k5_funct_5(C)) = B & A = k1_relat_1(k3_funct_5(C)) | k2_zfmisc_1(A,B) = k1_xboole_0))) # label(t31_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3967 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),k1_relat_1(C)) -> v1_funct_1(k1_funct_1(k3_funct_5(C),A)) & v1_relat_1(k1_funct_1(k3_funct_5(C),A)) & r2_hidden(A,k1_relat_1(k3_funct_5(C)))))) # label(t26_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3968 (all A all B (r1_tarski(k5_xboole_0(k2_funct_5(A),k2_funct_5(B)),k2_funct_5(k5_xboole_0(A,B))) & r1_tarski(k5_xboole_0(k1_funct_5(A),k1_funct_5(B)),k1_funct_5(k5_xboole_0(A,B))))) # label(t9_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3969 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((all B -(v1_funct_1(k1_funct_1(A,B)) & v1_relat_1(k1_funct_1(A,B)) & r2_hidden(B,k1_relat_1(A)))) -> k1_xboole_0 = k6_funct_5(A) & k1_xboole_0 = k4_funct_5(A)))) # label(t35_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3970 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (k2_zfmisc_1(A,B) = k1_relat_1(D) & k5_funct_5(D) = k5_funct_5(C) & k2_zfmisc_1(A,B) = k1_relat_1(C) -> C = D))))) # label(t52_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3971 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r1_tarski(k2_relat_1(D),k1_funct_2(A,B)) & k4_funct_5(C) = k4_funct_5(D) & r1_tarski(k2_relat_1(C),k1_funct_2(A,B)) -> k1_xboole_0 = A | D = C))))) # label(t53_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3972 (all A all B all C (r1_tarski(A,k2_zfmisc_1(B,C)) -> r1_tarski(k1_funct_5(A),B) & r1_tarski(k2_funct_5(A),C))) # label(t13_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3973 $T # label(dt_k2_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3974 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(k5_funct_5(B))) -> v1_funct_1(k1_funct_1(k5_funct_5(B),A)) & v1_relat_1(k1_funct_1(k5_funct_5(B),A))))) # label(t40_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3975 (all A all B (k1_funct_5(k1_tarski(k4_tarski(A,B))) = k1_tarski(A) & k1_tarski(B) = k2_funct_5(k1_tarski(k4_tarski(A,B))))) # label(t15_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3976 (all A (v1_relat_1(A) -> k2_funct_5(A) = k2_relat_1(A) & k1_relat_1(A) = k1_funct_5(A))) # label(t21_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3977 (all A (k1_funct_5(A) = k1_xboole_0 <-> k2_funct_5(A) = k1_xboole_0)) # label(t19_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3978 (all A all B all C (A != B -> r2_wellord2(k1_funct_2(C,k2_tarski(A,B)),k1_zfmisc_1(C)) & k1_card_1(k1_zfmisc_1(C)) = k1_card_1(k1_funct_2(C,k2_tarski(A,B))))) # label(t72_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3979 $T # label(t25_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3980 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) -> r1_tarski(k2_relat_1(k6_funct_5(C)),B) & r1_tarski(k2_relat_1(k4_funct_5(C)),B)))) # label(t47_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3981 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (k1_funct_1(k3_funct_5(C),A) = D & r2_hidden(k4_tarski(A,B),k1_relat_1(C)) -> r2_hidden(B,k1_relat_1(D)) & k1_funct_1(D,B) = k1_funct_1(C,k4_tarski(A,B))))))) # label(t27_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3982 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k1_relat_1(C),k2_zfmisc_1(A,B)) -> r1_tarski(k1_relat_1(k5_funct_5(C)),B) & r1_tarski(k1_relat_1(k3_funct_5(C)),A)))) # label(t32_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3983 (all A all B (r1_tarski(A,B) -> r1_tarski(k2_funct_5(A),k2_funct_5(B)) & r1_tarski(k1_funct_5(A),k1_funct_5(B)))) # label(t5_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3984 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(A,k1_relat_1(C)) & D = k1_funct_1(C,A) & r2_hidden(B,k1_relat_1(D)) -> r2_hidden(k4_tarski(B,A),k1_relat_1(k6_funct_5(C))) & k1_funct_1(k6_funct_5(C),k4_tarski(B,A)) = k1_funct_1(D,B) & r2_hidden(k1_funct_1(D,B),k2_relat_1(k6_funct_5(C)))))))) # label(t46_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3985 (all A all B all C (r1_tarski(A,B) -> r1_tarski(k1_funct_2(C,A),k1_funct_2(C,B)))) # label(t63_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3986 $T # label(t14_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3987 $T # label(t23_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3988 (all A all B (r1_tarski(k2_funct_5(k3_xboole_0(A,B)),k3_xboole_0(k2_funct_5(A),k2_funct_5(B))) & r1_tarski(k1_funct_5(k3_xboole_0(A,B)),k3_xboole_0(k1_funct_5(A),k1_funct_5(B))))) # label(t7_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3989 (all A all B (r1_tarski(k4_xboole_0(k1_funct_5(A),k1_funct_5(B)),k1_funct_5(k4_xboole_0(A,B))) & r1_tarski(k4_xboole_0(k2_funct_5(A),k2_funct_5(B)),k2_funct_5(k4_xboole_0(A,B))))) # label(t8_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3990 (all A (v1_relat_1(A) & v1_funct_1(A) -> k3_funct_5(k2_funct_4(A)) = k5_funct_5(A))) # label(d5_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3991 (all A all B (k2_funct_5(A) = B <-> (all C (r2_hidden(C,B) <-> (exists D r2_hidden(k4_tarski(D,C),A)))))) # label(d2_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3992 (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(k1_relat_1(C),k2_zfmisc_1(A,B)) & k3_funct_5(D) = k3_funct_5(C) & r1_tarski(k1_relat_1(D),k2_zfmisc_1(A,B)) -> C = D))))) # label(t59_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3993 (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) -> (r2_hidden(C,k1_relat_1(B)) & D = k1_funct_1(A,k1_mcart_1(C)) -> k1_funct_1(B,C) = k1_funct_1(D,k2_mcart_1(C))))) & (all C (r2_hidden(C,k1_relat_1(B)) <-> (exists D exists E ((exists F (k4_tarski(D,F) = C & r2_hidden(F,k1_relat_1(E)) & E = k1_funct_1(A,D) & r2_hidden(D,k1_relat_1(A)))) & v1_funct_1(E) & v1_relat_1(E))))) <-> k4_funct_5(A) = B))))) # label(d4_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3994 $T # label(t3_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3995 (all A k1_funct_2(k1_xboole_0,A) = k1_tarski(k1_xboole_0)) # label(t64_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3996 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k4_funct_5(A)) & v1_relat_1(k4_funct_5(A)))) # label(dt_k4_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3997 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),k1_relat_1(C)) -> v1_funct_1(k1_funct_1(k5_funct_5(C),B)) & v1_relat_1(k1_funct_1(k5_funct_5(C),B)) & r2_hidden(B,k1_relat_1(k5_funct_5(C)))))) # label(t28_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3998 (all A all B all C all D (r2_wellord2(A,B) & r2_wellord2(C,D) -> k1_card_1(k1_funct_2(A,C)) = k1_card_1(k1_funct_2(B,D)) & r2_wellord2(k1_funct_2(A,C),k1_funct_2(B,D)))) # label(t67_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 3999 (all A (v1_funct_1(A) & v1_relat_1(A) -> k2_funct_5(k1_relat_1(A)) = k1_funct_5(k1_relat_1(k2_funct_4(A))) & k2_funct_5(k1_relat_1(k2_funct_4(A))) = k1_funct_5(k1_relat_1(A)))) # label(t20_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4000 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_relat_1(C),k4_partfun1(A,B)) -> C = k3_funct_5(k4_funct_5(C)) & k5_funct_5(k6_funct_5(C)) = C | r2_hidden(k1_xboole_0,k2_relat_1(C))))) # label(t58_funct_5) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4001 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,B) -> (all G (m2_relset_1(G,k2_zfmisc_1(A,B),C) & v1_funct_2(G,k2_zfmisc_1(A,B),C) & v1_funct_1(G) -> (all H (m2_finseq_1(H,B) -> (k10_finseq_1(E,F) = H -> k5_funcop_1(G,D,H) = k10_finseq_1(k2_binop_1(A,B,C,G,D,E),k2_binop_1(A,B,C,G,D,F))))))))))))))))))) # label(t95_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4002 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v1_xboole_0(C) -> (all D (m2_finseq_1(D,C) -> (all E (v1_funct_1(E) & v1_funct_2(E,k2_finseq_1(A),k2_finseq_1(B)) & m2_relset_1(E,k2_finseq_1(A),k2_finseq_1(B)) -> (r1_xreal_0(B,k3_finseq_1(D)) -> np__0 != A & B = np__0 | m2_finseq_1(k1_partfun1(k2_finseq_1(A),k2_finseq_1(B),k5_numbers,C,E,D),C)))))))))))) # label(t49_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4003 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,B) -> (all H (v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(A,B),C) & m2_relset_1(H,k2_zfmisc_1(A,B),C) -> (all I (m2_finseq_1(I,A) -> (I = k11_finseq_1(D,E,F) -> k11_finseq_1(k2_binop_1(A,B,C,H,D,G),k2_binop_1(A,B,C,H,E,G),k2_binop_1(A,B,C,H,F,G)) = k4_funcop_1(H,I,G)))))))))))))))))))) # label(t102_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4004 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> k3_finseq_1(C) = A)))))) # label(t109_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4005 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_finseq_1(A),B) & v1_funct_2(C,k2_finseq_1(A),B) & v1_funct_1(C) -> m2_finseq_1(C,B))))))) # label(t28_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4006 (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_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (C = k3_funcop_1(D,A,B) & r1_tarski(k2_zfmisc_1(k2_relat_1(A),k2_relat_1(B)),k1_relat_1(D)) -> k3_finseq_1(C) = k3_square_1(k3_finseq_1(A),k3_finseq_1(B))))))))))) # label(t79_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4007 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> m2_finseq_2(k12_finseq_1(A,B),A,k4_finseq_2(np__1,A)))))) # label(t118_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4008 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> k1_nat_1(k3_finseq_1(B),np__1) = k3_finseq_1(k7_finseq_1(B,k9_finseq_1(A))))) # label(t19_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4009 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(A,k2_finseq_1(B)) -> r2_hidden(A,k2_finseq_1(k1_nat_1(B,C)))))))))) # label(t9_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4010 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> m2_finseq_2(k1_finseq_2(A),k5_numbers,k4_finseq_2(A,k5_numbers)))) # label(t131_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4011 p1_s2_finseq_2(k6_finseq_1(f1_s2_finseq_2)) & (all A (m2_finseq_1(A,f1_s2_finseq_2) -> (all B (m1_subset_1(B,f1_s2_finseq_2) -> (p1_s2_finseq_2(A) -> p1_s2_finseq_2(k8_finseq_1(f1_s2_finseq_2,A,k12_finseq_1(f1_s2_finseq_2,B)))))))) -> (all A (m2_finseq_1(A,f1_s2_finseq_2) -> p1_s2_finseq_2(A))) # label(s2_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4012 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B k2_finseq_2(k1_nat_1(A,np__1),B) = k7_finseq_1(k2_finseq_2(A,B),k9_finseq_1(B))))) # label(t74_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4013 (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(A,k4_finseq_1(k7_finseq_1(B,C)))))))))) # label(t18_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4014 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_2(C,k2_finseq_1(A),k2_finseq_1(A)) -> (r1_xreal_0(A,k3_finseq_1(B)) -> v1_relat_1(k5_relat_1(C,B)) & v1_funct_1(k5_relat_1(C,B)) & v1_finseq_1(k5_relat_1(C,B))))))))) # label(t43_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4015 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (v1_funct_2(F,k2_zfmisc_1(A,B),C) & m2_relset_1(F,k2_zfmisc_1(A,B),C) & v1_funct_1(F) -> (all G (m2_finseq_1(G,B) -> (k12_finseq_1(B,E) = G -> k12_finseq_1(C,k2_binop_1(A,B,C,F,D,E)) = k5_funcop_1(F,D,G)))))))))))))))) # label(t94_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4016 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> (all D (m1_subset_1(D,B) -> D = k1_funct_1(k8_finseq_1(B,C,k12_finseq_1(B,D)),k1_nat_1(A,np__1)))))))))) # label(t136_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4017 (all A all B all C (v4_ordinal2(B) -> ((exists D (m2_finseq_2(D,C,k3_finseq_2(C)) & A = D & B = k3_finseq_1(D))) <-> r2_hidden(A,a_2_0_finseq_2(B,C))))) # label(fraenkel_a_2_0_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4018 (all A k6_domain_1(k1_zfmisc_1(k2_zfmisc_1(k5_numbers,A)),k6_finseq_1(A)) = k4_finseq_2(np__0,A)) # label(t112_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4019 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(B)) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(B)) -> (r1_xreal_0(B,k3_finseq_1(C)) -> np__0 != A & B = np__0 | v1_relat_1(k5_relat_1(D,C)) & v1_funct_1(k5_relat_1(D,C)) & v1_finseq_1(k5_relat_1(D,C))))))))))) # label(t42_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4020 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> m2_finseq_1(k11_finseq_1(B,C,D),A))))))))) # label(t16_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4021 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k5_numbers,B) & m2_relset_1(C,k5_numbers,B) -> m2_finseq_1(k2_partfun1(k5_numbers,B,C,k2_finseq_1(A)),B))))))) # label(t31_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4022 (all A all B all C k2_relat_1(k11_finseq_1(A,B,C)) = k1_enumset1(A,B,C)) # label(t148_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4023 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_finseq_1(D) & v1_funct_1(D) & v1_relat_1(D) -> (all E (v1_funct_2(E,k2_zfmisc_1(A,B),C) & m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> (all F (m2_finseq_1(F,A) -> (all G (m2_finseq_1(G,B) -> (k3_funcop_1(E,F,G) = D & k3_finseq_1(G) = k3_finseq_1(F) -> k3_finseq_1(G) = k3_finseq_1(D) & k3_finseq_1(D) = k3_finseq_1(F)))))))))))))))) # label(t86_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4024 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (A != np__0 -> (all B (m1_subset_1(B,k2_finseq_1(A)) -> k1_funct_1(k1_finseq_2(A),B) = B))))) # label(t57_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.12/25.60 4025 (all A all B (-v1_xboole_0(B) & m1_finseq_2(B,A) -> r1_tarski(B,k3_finseq_2(A)))) # label(t105_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4026 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_funct_2(B,k4_finseq_1(A),k4_finseq_1(A)) & m2_relset_1(B,k4_finseq_1(A),k4_finseq_1(A)) & v1_funct_1(B) -> v1_relat_1(k5_relat_1(B,A)) & v1_finseq_1(k5_relat_1(B,A)) & v1_funct_1(k5_relat_1(B,A)))))) # label(t44_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4027 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> -(k1_nat_1(A,B) = k3_finseq_1(C) & (all D (v1_funct_1(D) & v1_finseq_1(D) & v1_relat_1(D) -> (all E (v1_funct_1(E) & v1_finseq_1(E) & v1_relat_1(E) -> -(k3_finseq_1(D) = A & k7_finseq_1(D,E) = C & B = k3_finseq_1(E))))))))))))) # label(t25_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4028 (all A (v4_ordinal2(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (r1_xreal_0(k3_finseq_1(B),A) -> B = k5_relat_1(k1_finseq_2(A),B)))))) # label(t64_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4029 (all A (-v1_xboole_0(k13_finseq_1(A)) & m1_finseq_2(k13_finseq_1(A),A))) # label(t104_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4030 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (A = k3_finseq_1(C) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k2_finseq_1(A)) -> k1_funct_1(B,D) = k1_funct_1(C,D)))) & k3_finseq_1(B) = A -> B = C))))))) # label(t10_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4031 (all A exists B m1_finseq_2(B,A)) # label(existence_m1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4032 (all A all B k2_tarski(A,B) = k2_relat_1(k10_finseq_1(A,B))) # label(t147_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4033 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> k1_partfun1(k5_numbers,A,A,B,k6_finseq_1(A),C) = k6_finseq_1(B))))) # label(t38_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4034 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) -> (k2_relat_1(D) = k2_finseq_1(A) & r1_xreal_0(A,k3_finseq_1(B)) & k5_relat_1(D,B) = C -> k3_finseq_1(C) = A))))))))) # label(t45_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4035 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> k2_finseq_1(A) = k4_finseq_1(C))))))) # label(t144_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4036 $T # label(t7_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4037 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_2(D,k2_zfmisc_1(A,B),C) -> (all E (m2_finseq_1(E,A) -> (all F (m2_finseq_1(F,B) -> m2_finseq_1(k3_funcop_1(D,E,F),C))))))))))))) # label(t84_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4038 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> v1_funct_1(B) & m2_relset_1(B,k4_finseq_1(B),A) & v1_funct_2(B,k4_finseq_1(B),A))))) # label(t30_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4039 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,B) -> (all H (v1_funct_2(H,k2_zfmisc_1(A,B),C) & m2_relset_1(H,k2_zfmisc_1(A,B),C) & v1_funct_1(H) -> (all I (m2_finseq_1(I,A) -> (all J (m2_finseq_1(J,B) -> (k10_finseq_1(F,G) = J & I = k10_finseq_1(D,E) -> k3_funcop_1(H,I,J) = k10_finseq_1(k2_binop_1(A,B,C,H,D,F),k2_binop_1(A,B,C,H,E,G))))))))))))))))))))))) # label(t89_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4040 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & m2_relset_1(E,k2_zfmisc_1(A,B),C) -> k6_finseq_1(C) = k5_funcop_1(E,D,k6_finseq_1(B)))))))))))) # label(t93_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4041 $T # label(t17_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4042 $T # label(t53_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4043 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & m2_relset_1(F,k2_zfmisc_1(A,B),C) -> (all G (m2_finseq_1(G,A) -> (k12_finseq_1(A,D) = G -> k12_finseq_1(C,k2_binop_1(A,B,C,F,D,E)) = k4_funcop_1(F,G,E)))))))))))))))) # label(t100_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4044 (all A all B (-v1_xboole_0(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (all D (m2_finseq_1(D,A) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (C = k1_partfun1(k5_numbers,A,A,B,D,E) -> k3_finseq_1(D) = k3_finseq_1(C)))))))))) # label(t37_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4045 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,B) -> (all E (v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & m2_relset_1(F,k2_zfmisc_1(A,B),C) -> (all G (m2_finseq_1(G,A) -> (E = k4_funcop_1(F,G,D) -> k3_finseq_1(E) = k3_finseq_1(G)))))))))))))))) # label(t98_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4046 (all A (v4_ordinal2(A) -> (all B a_2_0_finseq_2(A,B) = k4_finseq_2(A,B)))) # label(d4_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4047 (all A all B (-v1_xboole_0(B) & m1_finseq_2(B,A) -> (all C (m2_finseq_2(C,A,B) <-> m1_subset_1(C,B))))) # label(redefinition_m2_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4048 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_1_finseq_2(B)) <-> (exists C exists D (m1_subset_1(C,B) & A = k10_finseq_1(C,D) & m1_subset_1(D,B)))))) # label(fraenkel_a_1_1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4049 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_zfmisc_1(k2_relat_1(A),k2_relat_1(B)),k1_relat_1(C)) -> v1_funct_1(k3_funcop_1(C,A,B)) & v1_finseq_1(k3_funcop_1(C,A,B)) & v1_relat_1(k3_funcop_1(C,A,B))))))))) # label(t78_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4050 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k4_finseq_1(A),k4_finseq_1(A)) & m2_relset_1(C,k4_finseq_1(A),k4_finseq_1(A)) & v3_funct_2(C,k4_finseq_1(A),k4_finseq_1(A)) -> (k5_relat_1(C,A) = B -> k3_finseq_1(B) = k3_finseq_1(A)))))))) # label(t48_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4051 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_xreal_0(A,B) -> k2_square_1(np__0,k6_xcmplx_0(B,A)) = k6_xcmplx_0(B,A)))))) # label(t4_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4052 (all A (v4_ordinal2(A) -> (all B (v1_funct_1(k2_funcop_1(k2_finseq_1(A),B)) & v1_finseq_1(k2_funcop_1(k2_finseq_1(A),B)) & v1_relat_1(k2_funcop_1(k2_finseq_1(A),B)))))) # label(t66_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4053 (all A (v4_ordinal2(A) -> v1_relat_1(k1_finseq_2(A)) & v1_finseq_1(k1_finseq_2(A)) & v1_funct_1(k1_finseq_2(A)))) # label(dt_k1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4054 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(A,B),C) & v1_funct_2(F,k2_zfmisc_1(A,B),C) -> (all G (m2_finseq_1(G,A) -> (all H (m2_finseq_1(H,B) -> (H = k12_finseq_1(B,E) & G = k12_finseq_1(A,D) -> k12_finseq_1(C,k2_binop_1(A,B,C,F,D,E)) = k3_funcop_1(F,G,H)))))))))))))))))) # label(t88_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4055 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(k1_nat_1(A,np__1),B)) -> (exists D (m2_finseq_2(D,B,k4_finseq_2(A,B)) & (exists E (m1_subset_1(E,B) & k8_finseq_1(B,D,k12_finseq_1(B,E)) = C)))))))))) # label(t137_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4056 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C k7_finseq_1(k2_finseq_2(A,C),k2_finseq_2(B,C)) = k2_finseq_2(k1_nat_1(A,B),C)))))) # label(t143_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4057 (all A (v4_ordinal2(A) -> m2_finseq_1(k6_partfun1(k2_finseq_1(A)),k5_numbers))) # label(t52_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4058 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & v3_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(A)) -> (r1_xreal_0(A,k3_finseq_1(B)) & C = k5_relat_1(D,B) -> A = k3_finseq_1(C)))))))))) # label(t47_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4059 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B all C (m2_finseq_1(C,B) -> (r2_hidden(A,k4_finseq_1(C)) -> r2_hidden(k1_funct_1(C,A),B)))))) # label(t13_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4060 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> m2_finseq_2(k11_finseq_1(B,C,D),A,k4_finseq_2(np__3,A)))))))))) # label(t124_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4061 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> (all D (m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_1(D) -> (k2_finseq_1(A) = k2_relat_1(D) -> m2_finseq_2(k1_partfun1(k2_finseq_1(A),k2_finseq_1(A),k5_numbers,B,D,C),B,k4_finseq_2(A,B))))))))))) # label(t134_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4062 (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_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(A,C) & k3_finseq_1(A) = k3_finseq_1(B) & r1_tarski(B,C) -> B = A))))))) # label(t149_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4063 (all A (v4_ordinal2(A) -> (all B A = k3_finseq_1(k2_finseq_2(A,B))))) # label(t69_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4064 (all A all B (v4_ordinal2(A) & -v1_xboole_0(B) -> -v1_xboole_0(k4_finseq_2(A,B)))) # label(fc1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4065 (all A all B (m1_subset_1(B,k4_finseq_2(np__0,A)) -> k6_finseq_1(A) = B)) # label(t113_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4066 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> k1_funct_2(k2_finseq_1(A),B) = k4_finseq_2(A,B))))) # label(t111_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4067 (all A (-v1_xboole_0(A) -> k4_finseq_2(np__3,A) = a_1_2_finseq_2(A))) # label(t122_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4068 $T # label(t106_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4069 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_2(B,A,k4_finseq_2(np__3,A)) -> (exists C (m1_subset_1(C,A) & (exists D (m1_subset_1(D,A) & (exists E (B = k11_finseq_1(C,D,E) & m1_subset_1(E,A))))))))))) # label(t123_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4070 (all A (v4_ordinal2(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> (A != np__0 -> (all D (m1_subset_1(D,k2_finseq_1(A)) -> C = k1_funct_1(k2_finseq_2(A,C),D)))))))))) # label(t71_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4071 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_2(B,A,k4_finseq_2(np__2,A)) -> (exists C (m1_subset_1(C,A) & (exists D (m1_subset_1(D,A) & k10_finseq_1(C,D) = B)))))))) # label(t120_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4072 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (k2_finseq_1(A) = B -> (all D (m2_finseq_1(D,C) -> (all E (m2_finseq_1(E,B) -> (r1_xreal_0(A,k3_finseq_1(D)) -> m2_finseq_1(k1_partfun1(k5_numbers,B,k5_numbers,C,E,D),C))))))))))))) # label(t35_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4073 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_1(C,B) -> (all D (m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_1(D) -> (r1_xreal_0(A,k3_finseq_1(C)) -> m2_finseq_1(k1_partfun1(k2_finseq_1(A),k2_finseq_1(A),k5_numbers,B,D,C),B)))))))))) # label(t50_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4074 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,C) -> (all F (v1_funct_2(F,k2_zfmisc_1(B,C),D) & m2_relset_1(F,k2_zfmisc_1(B,C),D) & v1_funct_1(F) -> (all G (m2_finseq_2(G,B,k4_finseq_2(A,B)) -> m2_finseq_2(k4_funcop_1(F,G,E),D,k4_finseq_2(A,D)))))))))))))))) # label(t142_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4075 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(np__0,B)) -> (all D (m2_finseq_2(D,B,k4_finseq_2(A,B)) -> k8_finseq_1(B,C,D) = D & k8_finseq_1(B,D,C) = D)))))))) # label(t115_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4076 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_xreal_0(A,B) -> np__0 = k2_square_1(np__0,k6_xcmplx_0(A,B))))))) # label(t3_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4077 (all A all B (v4_ordinal2(A) -> v1_funct_1(k2_finseq_2(A,B)) & v1_finseq_1(k2_finseq_2(A,B)) & v1_relat_1(k2_finseq_2(A,B)))) # label(dt_k2_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4078 (all A all B all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m2_finseq_1(E,C) -> (all F (m2_relset_1(F,C,D) & v1_funct_2(F,C,D) & v1_funct_1(F) -> (k10_finseq_1(A,B) = E -> k10_finseq_1(k1_funct_1(F,A),k1_funct_1(F,B)) = k1_partfun1(k5_numbers,C,C,D,E,F)))))))))) # label(t40_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4079 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> m2_subset_1(k3_square_1(A,B),k1_numbers,k5_numbers) & m2_subset_1(k4_square_1(A,B),k1_numbers,k5_numbers))))) # label(t1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4080 (all A (-v1_xboole_0(A) -> a_1_1_finseq_2(A) = k4_finseq_2(np__2,A))) # label(t119_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4081 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v1_xboole_0(C) -> (all D (m2_finseq_2(D,C,k4_finseq_2(k1_nat_1(A,B),C)) -> (exists E (m2_finseq_2(E,C,k4_finseq_2(A,C)) & (exists F (m2_finseq_2(F,C,k4_finseq_2(B,C)) & k8_finseq_1(C,E,F) = D)))))))))))) # label(t126_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4082 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> C = k5_relat_1(k1_finseq_2(A),C))))))) # label(t138_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4083 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> (all C (m2_relset_1(C,k4_finseq_1(B),k4_finseq_1(B)) & v1_funct_2(C,k4_finseq_1(B),k4_finseq_1(B)) & v1_funct_1(C) -> m2_finseq_1(k1_partfun1(k4_finseq_1(B),k4_finseq_1(B),k5_numbers,A,C,B),A))))))) # label(t51_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4084 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k4_finseq_1(A),k4_finseq_1(A)) & m2_relset_1(C,k4_finseq_1(A),k4_finseq_1(A)) -> (k2_relat_1(C) = k4_finseq_1(A) & k5_relat_1(C,A) = B -> k3_finseq_1(A) = k3_finseq_1(B)))))))) # label(t46_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4085 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,k2_zfmisc_1(B,C),D) & v1_funct_2(E,k2_zfmisc_1(B,C),D) -> (all F (m2_finseq_2(F,B,k4_finseq_2(A,B)) -> (all G (m2_finseq_2(G,C,k4_finseq_2(A,C)) -> m2_finseq_2(k3_funcop_1(E,F,G),D,k4_finseq_2(A,D)))))))))))))))) # label(t140_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4086 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (A = k3_square_1(B,C) -> k2_finseq_1(A) = k5_subset_1(k5_numbers,k2_finseq_1(B),k2_finseq_1(C))))))))) # label(t2_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4087 $T # label(dt_m1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4088 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,B) -> (all E (m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> k4_funcop_1(E,k6_finseq_1(A),D) = k6_finseq_1(C))))))))))) # label(t99_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4089 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_zfmisc_1(k1_tarski(A),k2_relat_1(B)),k1_relat_1(C)) -> v1_finseq_1(k5_funcop_1(C,A,B)) & v1_funct_1(k5_funcop_1(C,A,B)) & v1_relat_1(k5_funcop_1(C,A,B))))))) # label(t80_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4090 (exists A (m2_finseq_1(A,f2_s1_finseq_2) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(B,k2_finseq_1(f1_s1_finseq_2)) -> k1_funct_1(A,B) = f3_s1_finseq_2(B)))) & k3_finseq_1(A) = f1_s1_finseq_2)) # label(s1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4091 (all A (v4_ordinal2(A) -> (all B k2_funcop_1(k2_finseq_1(A),B) = k2_finseq_2(A,B)))) # label(d2_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4092 (all A all B all C all D (m2_subset_1(C,k1_numbers,k5_numbers) & -v1_xboole_0(D) & m2_subset_1(B,k1_numbers,k5_numbers) -> ((exists E exists F (A = k8_finseq_1(D,E,F) & m2_finseq_2(F,D,k4_finseq_2(C,D)) & m2_finseq_2(E,D,k4_finseq_2(B,D)))) <-> r2_hidden(A,a_3_0_finseq_2(B,C,D))))) # label(fraenkel_a_3_0_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4093 (all A k10_finseq_1(A,A) = k2_finseq_2(np__2,A)) # label(t75_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4094 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> -(k3_finseq_1(B) != np__0 & (all C (m2_finseq_1(C,A) -> (all D (m1_subset_1(D,A) -> B != k8_finseq_1(A,C,k12_finseq_1(A,D))))))))))) # label(t22_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4095 (all A exists B (m1_finseq_2(B,A) & -v1_xboole_0(B))) # label(rc1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4096 (all A m1_subset_1(k6_finseq_1(A),k4_finseq_2(np__0,A))) # label(t114_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4097 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C all D (r2_hidden(B,k1_relat_1(A)) & r2_hidden(C,k1_relat_1(A)) & r2_hidden(D,k1_relat_1(A)) -> k5_relat_1(k11_finseq_1(B,C,D),A) = k11_finseq_1(k1_funct_1(A,B),k1_funct_1(A,C),k1_funct_1(A,D)))))) # label(t146_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4098 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (r2_hidden(C,k1_relat_1(A)) & r2_hidden(B,k1_relat_1(A)) -> k5_relat_1(k10_finseq_1(B,C),A) = k10_finseq_1(k1_funct_1(A,B),k1_funct_1(A,C)))))) # label(t145_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4099 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k4_square_1(A,np__0) = A & k4_square_1(np__0,A) = A & np__0 = k3_square_1(A,np__0) & np__0 = k3_square_1(np__0,A))) # label(t6_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4100 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> m2_subset_1(k2_square_1(np__0,k6_xcmplx_0(A,B)),k1_numbers,k5_numbers))))) # label(t5_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4101 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(C) -> (all D (m2_finseq_2(D,C,k4_finseq_2(A,C)) -> m2_finseq_2(D,B,k4_finseq_2(A,B)))))))))) # label(t129_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4102 (all A all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r1_tarski(k2_zfmisc_1(k2_relat_1(B),k1_tarski(A)),k1_relat_1(D)) & C = k4_funcop_1(D,B,A) -> k3_finseq_1(C) = k3_finseq_1(B)))))))) # label(t83_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4103 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v1_xboole_0(C) -> (all D (m2_finseq_2(D,C,k4_finseq_2(A,C)) -> (all E (m2_finseq_2(E,C,k4_finseq_2(B,C)) -> m2_finseq_2(k8_finseq_1(C,D,E),C,k4_finseq_2(k1_nat_1(A,B),C)))))))))))) # label(t127_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4104 (all A (v4_ordinal2(A) -> v1_funct_1(k1_finseq_2(A)) & v3_funct_2(k1_finseq_2(A),k2_finseq_1(A),k2_finseq_1(A)) & m2_relset_1(k1_finseq_2(A),k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_2(k1_finseq_2(A),k2_finseq_1(A),k2_finseq_1(A)))) # label(t65_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4105 (all A all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_zfmisc_1(k2_relat_1(B),k1_tarski(A)),k1_relat_1(C)) -> v1_funct_1(k4_funcop_1(C,B,A)) & v1_finseq_1(k4_funcop_1(C,B,A)) & v1_relat_1(k4_funcop_1(C,B,A))))))) # label(t82_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4106 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_relat_1(A),k1_relat_1(C)) & B = k5_relat_1(A,C) -> k3_finseq_1(B) = k3_finseq_1(A)))))))) # label(t33_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4107 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> (all F (m2_finseq_1(F,B) -> m2_finseq_1(k5_funcop_1(E,D,F),C))))))))))))) # label(t91_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4108 (all A all B (m1_finseq_2(B,A) & -v1_xboole_0(B) -> (all C (m2_finseq_2(C,A,B) -> m2_finseq_1(C,A))))) # label(dt_m2_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4109 $T # label(t29_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4110 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_finseq_1(D,B) -> (all E (v1_funct_2(E,B,C) & m2_relset_1(E,B,C) & v1_funct_1(E) -> (D = k9_finseq_1(A) -> k1_partfun1(k5_numbers,B,B,C,D,E) = k9_finseq_1(k1_funct_1(E,A))))))))))) # label(t39_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4111 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m2_relset_1(D,k2_zfmisc_1(A,B),C) -> (all E (m2_finseq_1(E,A) -> (all F (m2_finseq_1(F,B) -> k6_finseq_1(C) = k3_funcop_1(D,k6_finseq_1(A),F) & k6_finseq_1(C) = k3_funcop_1(D,E,k6_finseq_1(B)))))))))))))) # label(t87_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4112 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (B = k7_relat_1(C,k2_finseq_1(A)) -> k3_square_1(A,k3_finseq_1(C)) = k3_finseq_1(B)))))))) # label(t24_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4113 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> (all C (m1_finseq_2(C,B) & -v1_xboole_0(C) -> m1_finseq_2(C,A) & -v1_xboole_0(C))))))) # label(t107_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4114 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m2_finseq_1(C,B) -> m2_finseq_1(C,A))))))) # label(t27_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4115 (all A (v4_ordinal2(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> k5_relat_1(k1_finseq_2(A),B) = k7_relat_1(B,k2_finseq_1(A)))))) # label(t63_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4116 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> -((all C (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (all D B != k7_finseq_1(C,k9_finseq_1(D))))) & k1_nat_1(A,np__1) = k3_finseq_1(B)))))) # label(t21_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4117 (all A k11_finseq_1(A,A,A) = k2_finseq_2(np__3,A)) # label(t76_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4118 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (r1_xreal_0(k3_finseq_1(C),A) & k7_relat_1(C,k2_finseq_1(A)) = B -> B = C))))))) # label(t23_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4119 (all A all B (v4_ordinal2(A) -> m1_finseq_2(k4_finseq_2(A,B),B))) # label(dt_k4_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4120 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) -> (k7_finseq_1(D,k9_finseq_1(B)) = k7_finseq_1(C,k9_finseq_1(A)) -> A = B & C = D))))) # label(t20_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4121 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> m2_finseq_2(k10_finseq_1(B,C),A,k4_finseq_2(np__2,A)))))))) # label(t121_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4122 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> (all G (v1_funct_1(G) & m2_relset_1(G,k2_zfmisc_1(A,B),C) & v1_funct_2(G,k2_zfmisc_1(A,B),C) -> (all H (m2_finseq_1(H,A) -> (H = k10_finseq_1(D,E) -> k4_funcop_1(G,H,F) = k10_finseq_1(k2_binop_1(A,B,C,G,D,F),k2_binop_1(A,B,C,G,E,F))))))))))))))))))) # label(t101_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4123 $T # label(t108_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4124 (all A k13_finseq_1(A) = k3_finseq_2(A)) # label(redefinition_k3_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4125 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> (all D (m2_finseq_2(D,B,k4_finseq_2(A,B)) -> ((all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k2_finseq_1(A)) -> k1_funct_1(C,E) = k1_funct_1(D,E)))) -> C = D))))))))) # label(t139_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4126 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_finseq_2(D,B,k4_finseq_2(A,B)) -> (all E (m2_relset_1(E,B,C) & v1_funct_2(E,B,C) & v1_funct_1(E) -> m2_finseq_2(k1_partfun1(k5_numbers,B,B,C,D,E),C,k4_finseq_2(A,C)))))))))))) # label(t133_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4127 $T # label(t12_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4128 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> -((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(r2_hidden(C,k4_finseq_1(B)) & A = k1_funct_1(B,C)))) & r2_hidden(A,k2_relat_1(B))))) # label(t11_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4129 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k7_finseq_1(k1_finseq_2(A),k12_finseq_1(k5_numbers,k1_nat_1(A,np__1))) = k1_finseq_2(k1_nat_1(A,np__1)))) # label(t60_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4130 (all A (v4_ordinal2(A) -> k1_finseq_2(A) = k6_partfun1(k2_finseq_1(A)))) # label(d1_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4131 (all A (-v1_xboole_0(A) -> k3_tarski(a_1_3_finseq_2(A)) = k3_finseq_2(A))) # label(t128_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4132 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v1_xboole_0(C) -> (all D (m2_finseq_1(D,C) -> -((all E (m2_finseq_1(E,C) -> (all F (m2_finseq_1(F,C) -> -(k3_finseq_1(E) = A & D = k8_finseq_1(C,E,F) & k3_finseq_1(F) = B))))) & k3_finseq_1(D) = k1_nat_1(A,B)))))))))) # label(t26_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4133 (all A (v4_ordinal2(A) -> (all B all C (r2_hidden(B,k2_finseq_1(A)) -> k1_funct_1(k2_finseq_2(A,C),B) = C)))) # label(t70_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4134 (all A (v4_ordinal2(A) -> A = k3_finseq_1(k1_finseq_2(A)))) # label(t55_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4135 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,B) -> (all J (v1_funct_1(J) & v1_funct_2(J,k2_zfmisc_1(A,B),C) & m2_relset_1(J,k2_zfmisc_1(A,B),C) -> (all K (m2_finseq_1(K,A) -> (all L (m2_finseq_1(L,B) -> (K = k11_finseq_1(D,E,F) & L = k11_finseq_1(G,H,I) -> k11_finseq_1(k2_binop_1(A,B,C,J,D,G),k2_binop_1(A,B,C,J,E,H),k2_binop_1(A,B,C,J,F,I)) = k3_funcop_1(J,K,L)))))))))))))))))))))))))) # label(t90_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4136 $T # label(t103_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4137 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> m2_finseq_2(k2_finseq_2(A,C),B,k4_finseq_2(A,B)))))))) # label(t132_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4138 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_relat_1(D) & v1_finseq_1(D) & v1_funct_1(D) -> (all E (m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_2(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> (all F (m2_finseq_1(F,A) -> (all G (m2_finseq_1(G,B) -> (k3_funcop_1(E,F,G) = D -> k3_square_1(k3_finseq_1(F),k3_finseq_1(G)) = k3_finseq_1(D)))))))))))))))) # label(t85_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4139 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m1_subset_1(E,B) -> (all F (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,C),D) & m2_relset_1(F,k2_zfmisc_1(B,C),D) -> (all G (m2_finseq_2(G,C,k4_finseq_2(A,C)) -> m2_finseq_2(k5_funcop_1(F,E,G),D,k4_finseq_2(A,D)))))))))))))))) # label(t141_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4140 (all A all B (m2_finseq_1(B,A) -> m1_subset_1(B,k4_finseq_2(k3_finseq_1(B),A)))) # label(t110_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4141 (all A all B (m1_finseq_2(B,A) & -v1_xboole_0(B) -> (exists C m2_finseq_2(C,A,B)))) # label(existence_m2_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4142 (all A all B (-v1_xboole_0(B) -> ((exists C (k4_finseq_2(C,B) = A & m2_subset_1(C,k1_numbers,k5_numbers))) <-> r2_hidden(A,a_1_3_finseq_2(B))))) # label(fraenkel_a_1_3_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4143 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> m2_finseq_1(k10_finseq_1(B,C),A))))))) # label(t15_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4144 (all A (-v1_xboole_0(A) -> a_1_0_finseq_2(A) = k4_finseq_2(np__1,A))) # label(t116_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4145 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -(r2_hidden(A,k2_finseq_1(k1_nat_1(B,np__1))) & -r2_hidden(A,k2_finseq_1(B)) & k1_nat_1(B,np__1) != A))))) # label(t8_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4146 (all A (v4_ordinal2(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> m2_finseq_1(k2_finseq_2(A,C),B))))))) # label(t77_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4147 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (B = k2_finseq_1(A) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (all D (m2_finseq_1(D,B) -> (r1_xreal_0(A,k3_finseq_1(C)) -> v1_funct_1(k5_relat_1(D,C)) & v1_finseq_1(k5_relat_1(D,C)) & v1_relat_1(k5_relat_1(D,C)))))))))))) # label(t34_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4148 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,B) -> (all G (m1_subset_1(G,B) -> (all H (m2_relset_1(H,k2_zfmisc_1(A,B),C) & v1_funct_2(H,k2_zfmisc_1(A,B),C) & v1_funct_1(H) -> (all I (m2_finseq_1(I,B) -> (I = k11_finseq_1(E,F,G) -> k5_funcop_1(H,D,I) = k11_finseq_1(k2_binop_1(A,B,C,H,D,E),k2_binop_1(A,B,C,H,D,F),k2_binop_1(A,B,C,H,D,G))))))))))))))))))))) # label(t96_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4149 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v1_xboole_0(C) -> k4_finseq_2(k1_nat_1(A,B),C) = a_3_0_finseq_2(A,B,C))))))) # label(t125_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4150 (all A (v4_ordinal2(A) -> k4_finseq_1(k1_finseq_2(A)) = k2_finseq_1(A))) # label(t54_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4151 $T # label(t67_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4152 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_2(C,B,k4_finseq_2(A,B)) -> (all D (v1_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & v3_funct_2(D,k2_finseq_1(A),k2_finseq_1(A)) & m2_relset_1(D,k2_finseq_1(A),k2_finseq_1(A)) & v1_funct_1(D) -> m2_finseq_2(k1_partfun1(k2_finseq_1(A),k2_finseq_1(A),k5_numbers,B,D,C),B,k4_finseq_2(A,B)))))))))) # label(t135_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4153 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(A)) -> r2_hidden(k1_funct_1(A,C),B)))) -> m2_finseq_1(A,B))))) # label(t14_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4154 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_2_finseq_2(B)) <-> (exists C exists D exists E (m1_subset_1(C,B) & k11_finseq_1(C,D,E) = A & m1_subset_1(E,B) & m1_subset_1(D,B)))))) # label(fraenkel_a_1_2_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4155 (all A all B ((all C (r2_hidden(C,B) -> m2_finseq_1(C,A))) <-> m1_finseq_2(B,A))) # label(d3_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4156 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (all D (m2_relset_1(D,k5_numbers,B) & v1_funct_2(D,k5_numbers,B) & v1_funct_1(D) -> (k2_partfun1(k5_numbers,B,D,k2_finseq_1(A)) = C -> A = k3_finseq_1(C)))))))))) # label(t32_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4157 (all A all B all C (m2_finseq_1(C,A) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> m2_finseq_1(k1_partfun1(k5_numbers,A,A,B,C,D),B))))) # label(t36_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4158 (all A (v4_ordinal2(A) -> (all B k2_finseq_1(A) = k4_finseq_1(k2_finseq_2(A,B))))) # label(t68_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4159 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (-v1_xboole_0(C) -> (k4_finseq_2(B,C) = k4_finseq_2(A,C) -> B = A))))))) # label(t130_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.61 4160 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (v1_funct_1(E) & v1_finseq_1(E) & v1_relat_1(E) -> (all F (m2_relset_1(F,k2_zfmisc_1(A,B),C) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & v1_funct_1(F) -> (all G (m2_finseq_1(G,B) -> (k5_funcop_1(F,D,G) = E -> k3_finseq_1(G) = k3_finseq_1(E)))))))))))))))) # label(t92_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4161 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_2(B,A,k4_finseq_2(np__1,A)) -> (exists C (m1_subset_1(C,A) & k12_finseq_1(A,C) = B)))))) # label(t117_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4162 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_0_finseq_2(B)) <-> (exists C (m1_subset_1(C,B) & k12_finseq_1(B,C) = A))))) # label(fraenkel_a_1_0_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4163 (all A all B all C all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> (all F (m2_finseq_1(F,D) -> (all G (v1_funct_1(G) & m2_relset_1(G,D,E) & v1_funct_2(G,D,E) -> (F = k11_finseq_1(A,B,C) -> k11_finseq_1(k1_funct_1(G,A),k1_funct_1(G,B),k1_funct_1(G,C)) = k1_partfun1(k5_numbers,D,D,E,F,G)))))))))) # label(t41_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4164 (all A k2_finseq_2(np__1,A) = k9_finseq_1(A)) # label(t73_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4165 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(A,k2_finseq_1(B)) -> A = k1_funct_1(k1_finseq_2(B),A)))))) # label(t56_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4166 (all A k1_xboole_0 = k2_finseq_2(np__0,A)) # label(t72_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4167 (all A all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (C = k5_funcop_1(D,A,B) & r1_tarski(k2_zfmisc_1(k1_tarski(A),k2_relat_1(B)),k1_relat_1(D)) -> k3_finseq_1(B) = k3_finseq_1(C)))))))) # label(t81_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4168 (all A (-v1_xboole_0(k3_finseq_2(A)) & m1_finseq_2(k3_finseq_2(A),A))) # label(dt_k3_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4169 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,B) -> (all E (v1_funct_2(E,k2_zfmisc_1(A,B),C) & m2_relset_1(E,k2_zfmisc_1(A,B),C) & v1_funct_1(E) -> (all F (m2_finseq_1(F,A) -> m2_finseq_1(k4_funcop_1(E,F,D),C))))))))))))) # label(t97_finseq_2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4170 (all A all B all C (r1_tarski(C,A) & r2_hidden(A,k1_classes1(B)) -> r2_hidden(C,k1_classes1(B)))) # label(t6_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4171 (all A all B (v3_ordinal1(B) -> (all C ((exists D (v5_ordinal1(D) & k1_relat_1(D) = k1_ordinal1(B) & k1_tarski(A) = k1_funct_1(D,k1_xboole_0) & (all E (v3_ordinal1(E) -> (r2_hidden(k1_ordinal1(E),k1_ordinal1(B)) -> k1_funct_1(D,k1_ordinal1(E)) = k2_xboole_0(k2_xboole_0(a_3_0_classes1(A,D,E),a_3_1_classes1(A,D,E)),k3_xboole_0(k1_zfmisc_1(k1_funct_1(D,E)),k1_classes1(A)))))) & (all E (v3_ordinal1(E) -> (v4_ordinal1(E) & r2_hidden(E,k1_ordinal1(B)) -> k1_funct_1(D,E) = k3_xboole_0(k3_tarski(k2_relat_1(k2_ordinal1(D,E))),k1_classes1(A)) | E = k1_xboole_0))) & k1_ordinal2(D) = C & v1_funct_1(D) & v1_relat_1(D))) <-> k2_classes1(A,B) = C)))) # label(d5_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4172 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r1_tarski(k4_classes1(A),k4_classes1(B)) <-> r1_ordinal1(A,B)))))) # label(t43_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4173 (all A all B (r1_tarski(A,B) -> r1_ordinal1(k6_classes1(A),k6_classes1(B)))) # label(t75_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4174 (all A all B (v3_ordinal1(B) -> ((all C (r2_hidden(C,A) -> r2_hidden(k6_classes1(C),B))) <-> r1_ordinal1(k6_classes1(A),B)))) # label(t77_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4175 $T # label(dt_k4_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4176 (all A all B (v3_ordinal1(B) -> ((all C (v3_ordinal1(C) -> -(r2_hidden(C,B) & (all D -(r1_ordinal1(C,k6_classes1(D)) & r2_hidden(D,A)))))) <-> r1_ordinal1(B,k6_classes1(A))))) # label(t78_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4177 (all A all B -(r2_hidden(A,k1_classes1(B)) & r2_tarski(A,k1_classes1(B)))) # label(t29_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4178 (all A r1_tarski(A,k5_classes1(A))) # label(t59_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4179 (all A k1_ordinal1(k6_classes1(A)) = k6_classes1(k1_zfmisc_1(A))) # label(t71_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4180 (all A all B (v3_ordinal1(B) -> m1_subset_1(k3_classes1(A,B),k1_zfmisc_1(k1_classes1(A))))) # label(dt_k3_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4181 (all A all B all C all D (v1_funct_1(C) & v5_ordinal1(C) & v3_ordinal1(D) & v1_relat_1(C) -> (r2_hidden(A,a_3_0_classes1(B,C,D)) <-> (exists E (m1_subset_1(E,k1_classes1(B)) & (exists F (m1_subset_1(F,k1_classes1(B)) & r1_tarski(E,F) & r2_hidden(F,k1_funct_1(C,D)))) & A = E))))) # label(fraenkel_a_3_0_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4182 (all A k5_classes1(A) = k5_classes1(k5_classes1(A))) # label(t66_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4183 (all A (v3_ordinal1(A) -> (v4_ordinal1(A) -> (all B (r2_hidden(B,k4_classes1(A)) <-> (exists C (v3_ordinal1(C) & r2_hidden(C,A) & r2_hidden(B,k4_classes1(C)))))) | A = k1_xboole_0))) # label(t35_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4184 (all A all B all C all D (v1_relat_1(C) & v5_ordinal1(C) & v3_ordinal1(D) & v1_funct_1(C) -> ((exists E (m1_subset_1(E,k1_classes1(B)) & r2_hidden(E,k1_funct_1(C,D)) & k1_zfmisc_1(E) = A)) <-> r2_hidden(A,a_3_1_classes1(B,C,D))))) # label(fraenkel_a_3_1_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4185 (all A (v3_ordinal1(A) -> (all B (k4_classes1(A) = B <-> (exists C ((all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_funct_1(C,k1_ordinal1(D)) = k1_zfmisc_1(k1_funct_1(C,D))))) & (all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(D,k1_ordinal1(A)) -> k1_xboole_0 = D | k1_funct_1(C,D) = k3_tarski(k2_relat_1(k2_ordinal1(C,D)))))) & k1_funct_1(C,k1_xboole_0) = k1_xboole_0 & k1_relat_1(C) = k1_ordinal1(A) & B = k1_ordinal2(C) & v5_ordinal1(C) & v1_funct_1(C) & v1_relat_1(C))))))) # label(d6_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4186 (all A all B all C (r2_hidden(C,k1_classes1(A)) & r2_hidden(B,k1_classes1(A)) -> r2_hidden(k1_tarski(B),k1_classes1(A)) & r2_hidden(k2_tarski(B,C),k1_classes1(A)))) # label(t30_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4187 (all A v3_ordinal1(k6_classes1(A))) # label(dt_k6_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4188 (all A (v1_ordinal1(A) -> v1_ordinal1(k1_classes1(A)))) # label(t27_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4189 (all A all B (v3_ordinal1(B) -> (k6_classes1(A) = B <-> (all C (v3_ordinal1(C) -> (r1_tarski(A,k4_classes1(C)) -> r1_ordinal1(B,C)))) & r1_tarski(A,k4_classes1(B))))) # label(d8_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4190 (all A -v1_xboole_0(k1_classes1(A))) # label(fc1_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4191 (all A all B all C (v3_ordinal1(C) -> (-((all D -((r1_tarski(A,D) | A = k1_zfmisc_1(D)) & r2_hidden(D,k3_classes1(B,C)))) & -(r2_hidden(A,k1_classes1(B)) & r1_tarski(A,k3_classes1(B,C)))) <-> r2_hidden(A,k3_classes1(B,k1_ordinal1(C)))))) # label(t13_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4192 (all A ((all B (r2_hidden(B,A) -> r2_hidden(k1_zfmisc_1(B),A))) & (all B -(-r2_hidden(B,A) & -r2_tarski(B,A) & r1_tarski(B,A))) & v1_classes1(A) <-> v2_classes1(A))) # label(d2_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4193 (all A all B (v3_ordinal1(B) -> k2_classes1(A,B) = k3_classes1(A,B))) # label(redefinition_k3_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4194 (all A all B -(A != B & (all C (v3_ordinal1(C) -> -(-r2_hidden(A,k3_classes1(B,C)) & r2_hidden(A,k3_classes1(B,k1_ordinal1(C)))))) & r2_hidden(A,k1_classes1(B)))) # label(t24_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4195 (all A all B (v3_ordinal1(B) -> (r2_hidden(k1_zfmisc_1(A),k4_classes1(k1_ordinal1(B))) <-> r2_hidden(A,k4_classes1(B))))) # label(t48_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4196 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(A,k3_classes1(B,C)) -> r2_hidden(k1_zfmisc_1(A),k3_classes1(B,k1_ordinal1(C)))))) # label(t15_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4197 (all A all B all C (v3_ordinal1(C) -> (r1_tarski(A,B) & r2_hidden(B,k4_classes1(C)) -> r2_hidden(A,k4_classes1(C))))) # label(t47_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4198 $T # label(t57_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4199 (all A all B (r1_classes1(A,B) <-> v2_classes1(B) & r2_hidden(A,B))) # label(d3_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4200 (all A all B (v3_ordinal1(B) -> (r1_tarski(A,k4_classes1(B)) <-> r2_hidden(A,k4_classes1(k1_ordinal1(B)))))) # label(t36_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4201 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(B,k4_classes1(C)) & r2_hidden(A,k4_classes1(C)) <-> r2_hidden(k4_tarski(A,B),k4_classes1(k1_ordinal1(k1_ordinal1(C))))))) # label(t51_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4202 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(A,a_2_2_classes1(B,C)) <-> (exists D (D = A & (exists E (r2_hidden(D,k3_classes1(B,E)) & r2_hidden(E,C) & v3_ordinal1(E))) & m1_subset_1(D,k1_classes1(B))))))) # label(fraenkel_a_2_2_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4203 (all A all B (v3_ordinal1(B) -> -(k1_ordinal1(B) = k6_classes1(A) & (all C -(r2_hidden(C,A) & B = k6_classes1(C)))))) # label(t80_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4204 (all A all B (v3_ordinal1(B) -> (r2_hidden(A,k4_classes1(B)) -> r2_hidden(k3_tarski(A),k4_classes1(B))))) # label(t41_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4205 (all A -(v1_ordinal1(A) & (all B (v3_ordinal1(B) -> -r1_tarski(k1_classes1(A),k4_classes1(B)))))) # label(t53_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4206 (all A all B (v1_ordinal1(A) & v1_ordinal1(B) -> v1_ordinal1(k3_xboole_0(A,B)))) # label(t56_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4207 (all A all B (v3_ordinal1(B) -> k2_xboole_0(k2_xboole_0(a_2_0_classes1(A,B),a_2_1_classes1(A,B)),k3_xboole_0(k1_zfmisc_1(k3_classes1(A,B)),k1_classes1(A))) = k3_classes1(A,k1_ordinal1(B)))) # label(t11_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4208 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(A,B) <-> r2_hidden(k4_classes1(A),k4_classes1(B))))))) # label(t42_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4209 (all A all B (B = k1_classes1(A) <-> r1_classes1(A,B) & (all C (r1_classes1(A,C) -> r1_tarski(B,C))))) # label(d4_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4210 (all A exists B (v3_ordinal1(B) & k3_classes1(A,B) = k1_classes1(A))) # label(t22_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4211 (all A (v3_ordinal1(A) -> r1_tarski(k3_tarski(k4_classes1(A)),k4_classes1(A)))) # label(t40_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4212 (all A exists B (k3_classes1(A,k1_ordinal1(B)) = k3_classes1(A,B) & v3_ordinal1(B))) # label(t20_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4213 (all A all B (r1_tarski(A,B) & v1_ordinal1(B) -> r1_tarski(k5_classes1(A),B))) # label(t60_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4214 (all A exists B (v3_ordinal1(B) & (all C (v3_ordinal1(C) -> -(k1_classes1(A) = k3_classes1(A,C) & r2_hidden(C,B)))) & k1_classes1(A) = k3_classes1(A,B))) # label(t23_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4215 (all A (k3_classes1(A,k1_xboole_0) != k3_classes1(A,k4_ordinal2) & r2_hidden(k3_classes1(A,k1_xboole_0),k3_classes1(A,k4_ordinal2)))) # label(t26_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4216 (all A all B all C (v3_ordinal1(C) -> (v4_ordinal1(C) -> C = k1_xboole_0 | ((exists D (v3_ordinal1(D) & r2_hidden(B,k3_classes1(A,D)) & r2_hidden(D,C))) <-> r2_hidden(B,k3_classes1(A,C)))))) # label(t16_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4217 (all A r2_hidden(A,k1_classes1(A))) # label(t5_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4218 (all A all B (r2_hidden(A,k1_classes1(B)) -> r2_hidden(k1_zfmisc_1(A),k1_classes1(B)))) # label(t7_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4219 (all A all B (r1_tarski(A,B) & v1_ordinal1(B) & (all C (v1_ordinal1(C) & r1_tarski(A,C) -> r1_tarski(B,C))) -> B = k5_classes1(A))) # label(t61_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4220 (all A all B all C all D (v3_ordinal1(D) -> (r2_hidden(B,k3_classes1(C,D)) & r1_tarski(A,B) -> r2_hidden(A,k3_classes1(C,k1_ordinal1(D)))))) # label(t14_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4221 (all A all B (k5_classes1(A) = B <-> (all C (r2_hidden(C,B) <-> (exists D (v1_relat_1(D) & (exists E (k1_funct_1(D,np__0) = A & (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> k1_funct_1(D,k1_nat_1(F,np__1)) = k3_tarski(k1_funct_1(D,F)))) & k5_numbers = k1_relat_1(D) & r2_hidden(C,k1_funct_1(D,E)) & m2_subset_1(E,k1_numbers,k5_numbers))) & v1_funct_1(D))))))) # label(d7_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4222 (all A all B -(r1_tarski(A,k1_classes1(B)) & -r2_hidden(A,k1_classes1(B)) & -r2_tarski(A,k1_classes1(B)))) # label(t8_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4223 (all A all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r1_ordinal1(B,C) -> r1_tarski(k3_classes1(A,B),k3_classes1(A,C))))))) # label(t19_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4224 (all A all B (r2_hidden(k1_card_1(A),k1_card_1(k1_classes1(B))) & r1_tarski(A,k1_classes1(B)) -> r2_hidden(A,k1_classes1(B)))) # label(t9_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4225 (all A ((all B all C (r2_hidden(B,A) & r1_tarski(C,B) -> r2_hidden(C,A))) <-> v1_classes1(A))) # label(d1_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4226 (all A (v3_ordinal1(A) -> r1_tarski(k4_classes1(A),k4_classes1(k1_ordinal1(A))))) # label(t39_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4227 (all A (v3_ordinal1(A) -> k4_classes1(k1_ordinal1(A)) = k1_zfmisc_1(k4_classes1(A)))) # label(t34_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4228 (all A (k1_xboole_0 = A <-> k6_classes1(A) = k1_xboole_0)) # label(t79_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4229 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(A,a_2_1_classes1(B,C)) <-> (exists D (k1_zfmisc_1(D) = A & r2_hidden(D,k3_classes1(B,C)) & m1_subset_1(D,k1_classes1(B))))))) # label(fraenkel_a_2_1_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4230 (all A all B all C (r2_hidden(C,k1_classes1(A)) & r2_hidden(B,k1_classes1(A)) -> r2_hidden(k4_tarski(B,C),k1_classes1(A)))) # label(t31_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4231 (all A all B all C (r1_tarski(A,k1_classes1(B)) & r1_tarski(C,k1_classes1(B)) -> r1_tarski(k2_zfmisc_1(A,C),k1_classes1(B)))) # label(t32_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4232 $T # label(t3_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4233 (all A all B (v3_ordinal1(B) -> (r2_hidden(k1_tarski(A),k4_classes1(k1_ordinal1(B))) <-> r2_hidden(A,k4_classes1(B))))) # label(t49_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4234 (all A all B (v3_ordinal1(B) -> (v4_ordinal1(B) -> B = k1_xboole_0 | a_2_2_classes1(A,B) = k3_classes1(A,B)))) # label(t12_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4235 (all A (v3_ordinal1(A) -> (all B (r2_hidden(B,k4_classes1(A)) -> -r2_tarski(B,k4_classes1(A)) & r2_hidden(k1_card_1(B),k1_card_1(k4_classes1(A))))))) # label(t45_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4236 $T # label(dt_k5_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4237 (all A all B (v3_ordinal1(B) -> (r1_ordinal1(k6_classes1(A),B) <-> r1_tarski(A,k4_classes1(B))))) # label(t73_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4238 (all A all B (v3_ordinal1(B) -> (r1_tarski(A,k4_classes1(B)) <-> r1_tarski(k1_zfmisc_1(A),k4_classes1(k1_ordinal1(B)))))) # label(t46_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4239 $T # label(t4_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4240 (all A (v3_ordinal1(A) -> k6_classes1(A) = A)) # label(t81_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4241 (all A (v3_ordinal1(A) -> r1_tarski(A,k4_classes1(A)))) # label(t44_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4242 (all A all B all C all D (v3_ordinal1(D) -> (v4_ordinal1(D) & r2_hidden(A,k3_classes1(B,D)) -> C != k1_zfmisc_1(A) & -r1_tarski(C,A) | r2_hidden(C,k3_classes1(B,D)) | k1_xboole_0 = D))) # label(t17_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4243 (all A exists B (r1_tarski(A,k4_classes1(B)) & v3_ordinal1(B))) # label(t69_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4244 $T # label(t70_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4245 (all A k1_tarski(A) = k3_classes1(A,k1_xboole_0)) # label(t10_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4246 (all A (v3_ordinal1(A) -> A = k5_classes1(A))) # label(t64_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4247 $T # label(dt_k2_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4248 (all A all B (r1_tarski(A,B) -> r1_tarski(k5_classes1(A),k5_classes1(B)))) # label(t65_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4249 (all A all B (v3_ordinal1(B) -> (r2_hidden(A,k4_classes1(B)) -> r1_tarski(A,k4_classes1(B))))) # label(t38_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4250 (all A all B (v3_ordinal1(B) -> (r2_hidden(A,k4_classes1(B)) <-> r2_hidden(k6_classes1(A),B)))) # label(t74_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4251 (all A all B (v3_ordinal1(B) -> (k3_classes1(A,B) = k3_classes1(A,k1_ordinal1(B)) -> k1_classes1(A) = k3_classes1(A,B)))) # label(t21_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4252 $T # label(t1_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4253 (all A (v1_ordinal1(A) -> r1_tarski(k3_tarski(A),A))) # label(t54_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4254 (all A (v3_ordinal1(A) -> k6_classes1(k4_classes1(A)) = A)) # label(t72_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4255 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(A,a_2_0_classes1(B,C)) <-> (exists D (A = D & (exists E (m1_subset_1(E,k1_classes1(B)) & r2_hidden(E,k3_classes1(B,C)) & r1_tarski(D,E))) & m1_subset_1(D,k1_classes1(B))))))) # label(fraenkel_a_2_0_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4256 (all A v1_ordinal1(k5_classes1(A))) # label(t58_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4257 (all A (v1_ordinal1(A) -> k5_classes1(A) = A)) # label(t62_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4258 (all A all B k5_classes1(k2_xboole_0(A,B)) = k2_xboole_0(k5_classes1(A),k5_classes1(B))) # label(t67_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4259 (all A (v3_ordinal1(A) -> v1_ordinal1(k4_classes1(A)))) # label(t37_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4260 (all A all B all C (v3_ordinal1(C) -> (r2_hidden(A,k4_classes1(C)) & r2_hidden(B,k4_classes1(C)) <-> r2_hidden(k2_tarski(A,B),k4_classes1(k1_ordinal1(C)))))) # label(t50_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4261 (all A all B (v3_ordinal1(B) -> (k3_xboole_0(k4_classes1(k1_ordinal1(B)),k1_classes1(A)) = k3_xboole_0(k4_classes1(B),k1_classes1(A)) & v1_ordinal1(A) -> r1_tarski(k1_classes1(A),k4_classes1(B))))) # label(t52_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4262 (all A all B (v1_ordinal1(B) & v1_ordinal1(A) -> v1_ordinal1(k2_xboole_0(A,B)))) # label(t55_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4263 (all A (v4_ordinal1(k6_classes1(k1_classes1(A))) & k1_xboole_0 != k6_classes1(k1_classes1(A)))) # label(t82_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4264 (all A (v1_ordinal1(A) -> (all B (v3_ordinal1(B) -> (B != k1_xboole_0 -> v1_ordinal1(k3_classes1(A,B))))))) # label(t25_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4265 $T # label(dt_k1_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4266 (all A all B (r2_hidden(A,B) -> r2_hidden(k6_classes1(A),k6_classes1(B)))) # label(t76_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4267 (all A all B r1_tarski(k5_classes1(k3_xboole_0(A,B)),k3_xboole_0(k5_classes1(A),k5_classes1(B)))) # label(t68_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4268 (all A all B (v3_ordinal1(B) -> r1_tarski(k3_classes1(A,B),k3_classes1(A,k1_ordinal1(B))))) # label(t18_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4269 (all A (v2_classes1(A) <-> v1_classes1(A) & (all B (r2_hidden(B,A) -> r2_hidden(k1_zfmisc_1(B),A))) & (all B (r1_tarski(B,A) & r2_hidden(k1_card_1(B),k1_card_1(A)) -> r2_hidden(B,A))))) # label(t2_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4270 (all A all B (r2_hidden(A,k1_classes1(B)) -> r2_hidden(k1_card_1(A),k1_card_1(k1_classes1(B))))) # label(t28_classes1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4271 (all A (v1_funct_1(A) & v1_card_3(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) -> ((all C (r2_hidden(C,k1_relat_1(A)) -> r1_tarski(k1_funct_1(A,C),k1_funct_1(B,C)))) & k1_relat_1(A) = k1_relat_1(B) -> r1_tarski(k7_card_3(A),k7_card_3(B))))))) # label(t45_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4272 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B ((all C (r2_hidden(C,B) <-> (exists D (C = D & (all E (r2_hidden(E,k1_relat_1(A)) -> r2_hidden(k1_funct_1(D,E),k1_funct_1(A,E)))) & k1_relat_1(A) = k1_relat_1(D) & v1_funct_1(D) & v1_relat_1(D))))) <-> k4_card_3(A) = B)))) # label(d5_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4273 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_fraenkel(k4_card_3(A)))) # label(fc3_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4274 (all A (v1_relat_1(A) & v1_card_3(A) & v1_funct_1(A) -> (all B (r2_hidden(B,k1_relat_1(A)) -> k1_card_1(k1_funct_1(k2_card_3(A),B)) = k1_funct_1(A,B))))) # label(t40_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4275 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> k6_card_3(A) = k1_card_1(k3_card_3(k2_card_3(A))))) # label(d7_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4276 $T # label(dt_k4_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4277 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,k1_relat_1(C)) & r2_hidden(A,k1_relat_1(C)) -> A = B | r1_xboole_0(k1_funct_1(k2_card_3(C),A),k1_funct_1(k2_card_3(C),B))))) # label(t13_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4278 (all A (v1_funct_1(A) & v1_card_3(A) & v1_relat_1(A) -> v1_card_1(k7_card_3(A)))) # label(dt_k7_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4279 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> k2_card_2(A,B) = k6_card_3(k2_funcop_1(A,B)))))) # label(t52_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4280 (all A -(v6_ordinal1(A) & (all B -(r1_tarski(B,A) & (all C -(C != k1_xboole_0 & (all D -(r2_hidden(D,C) & (all E (r2_hidden(E,C) -> r1_tarski(D,E))))) & r1_tarski(C,B))) & k3_tarski(A) = k3_tarski(B))))) # label(t61_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4281 (all A all B r1_tarski(k1_card_1(k5_card_3(B,A)),k1_card_1(A))) # label(t31_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4282 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k2_card_3(A)) & v1_relat_1(k2_card_3(A)))) # label(dt_k2_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4283 (all A all B all C k5_card_3(C,k2_xboole_0(A,B)) = k2_xboole_0(k5_card_3(C,A),k5_card_3(C,B))) # label(t27_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4284 (all A (v1_card_1(A) -> (all B A = k7_card_3(k2_funcop_1(k1_tarski(B),A))))) # label(t51_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4285 $T # label(t6_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4286 (all A all B (v1_card_1(B) -> v1_ordinal2(k2_funcop_1(A,B)) & v1_card_3(k2_funcop_1(A,B)) & v1_funct_1(k2_funcop_1(A,B)) & v1_relat_1(k2_funcop_1(A,B)))) # label(fc2_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4287 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_relat_1(B) = k1_relat_1(A) & (all C (r2_hidden(C,k1_relat_1(A)) -> k1_funct_1(B,C) = k2_zfmisc_1(k1_funct_1(A,C),k1_tarski(C)))) <-> B = k2_card_3(A)))))) # label(d3_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4288 (all A (v1_card_3(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_card_3(B) & v1_funct_1(B) -> (r1_tarski(A,B) -> r1_tarski(k6_card_3(A),k6_card_3(B))))))) # label(t46_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4289 (all A (v1_card_3(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) -> (k1_relat_1(A) = k1_relat_1(B) & (all C (r2_hidden(C,k1_relat_1(A)) -> r2_hidden(k1_funct_1(A,C),k1_funct_1(B,C)))) -> r2_hidden(k6_card_3(A),k7_card_3(B))))))) # label(t56_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4290 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k3_card_3(k2_card_3(B))) <-> A = k4_tarski(k1_mcart_1(A),k2_mcart_1(A)) & r2_hidden(k1_mcart_1(A),k1_funct_1(B,k2_mcart_1(A))) & r2_hidden(k2_mcart_1(A),k1_relat_1(B))))) # label(t33_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4291 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k1_card_3(A)) & v1_card_3(k1_card_3(A)) & v1_relat_1(k1_card_3(A)))) # label(dt_k1_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4292 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> r1_tarski(k1_card_1(k3_card_3(A)),k6_card_3(A)))) # label(t55_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4293 (all A all B all C (C = k5_card_3(A,B) <-> (all D (r2_hidden(D,C) <-> (exists E (k1_funct_1(E,A) = D & r2_hidden(E,B) & v1_funct_1(E) & v1_relat_1(E))))))) # label(d6_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4294 (all A (v1_funct_1(A) & v1_card_3(A) & v1_relat_1(A) -> (r2_hidden(k1_xboole_0,k2_relat_1(A)) <-> np__0 = k7_card_3(A)))) # label(t44_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4295 (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)) -> r1_tarski(k1_funct_1(A,C),k1_funct_1(B,C)))) -> r1_tarski(k4_card_3(A),k4_card_3(B))))))) # label(t38_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4296 $T # label(t2_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4297 $T # label(t5_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4298 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v1_card_3(A) <-> (all B (r2_hidden(B,k1_relat_1(A)) -> v1_card_1(k1_funct_1(A,B))))))) # label(d1_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4299 (all A (v1_card_1(A) -> (all B k6_card_3(k2_funcop_1(k1_tarski(B),A)) = A))) # label(t50_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4300 (all A all B r1_tarski(k3_card_3(k2_funcop_1(A,B)),B)) # label(t15_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4301 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(k1_card_1(A),k1_card_1(B)) -> r2_hidden(A,B)))))) # label(t59_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4302 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k1_tarski(k1_funct_1(B,A)) = k5_card_3(A,k1_tarski(B)))) # label(t25_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4303 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(A,B) -> r1_tarski(k2_card_3(A),k2_card_3(B))))))) # label(t34_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4304 (all A (v1_funct_1(A) & v1_relat_1(A) -> k3_tarski(k2_relat_1(A)) = k3_card_3(A))) # label(d4_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4305 $T # label(t4_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4306 (all A all B k2_funcop_1(k1_tarski(A),k2_zfmisc_1(B,k1_tarski(A))) = k2_card_3(k2_funcop_1(k1_tarski(A),B))) # label(t12_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4307 (all A all B all C r1_tarski(k5_card_3(C,k3_xboole_0(A,B)),k3_xboole_0(k5_card_3(C,A),k5_card_3(C,B)))) # label(t28_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4308 (all A (v1_funct_1(A) & v1_relat_1(A) -> r1_tarski(k1_card_1(k3_card_3(A)),k6_card_3(k1_card_3(A))))) # label(t54_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4309 (all A (v1_relat_1(A) & v1_funct_1(A) -> (k4_card_3(A) = k1_xboole_0 <-> r2_hidden(k1_xboole_0,k2_relat_1(A))))) # label(t37_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4310 (all A (v1_relat_1(A) & v1_card_3(A) & v1_funct_1(A) -> (all B (r2_hidden(B,k1_relat_1(A)) -> k1_card_1(k1_funct_1(A,B)) = k1_funct_1(A,B))))) # label(t39_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4311 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> k2_tarski(k1_funct_1(B,A),k1_funct_1(C,A)) = k5_card_3(A,k2_tarski(B,C)))))) # label(t26_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4312 (all A all B k1_card_3(k2_funcop_1(A,B)) = k2_funcop_1(A,k1_card_1(B))) # label(t10_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4313 (all A (v1_relat_1(A) & v1_card_3(A) & v1_funct_1(A) -> k1_card_3(A) = A)) # label(t8_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4314 (all A all B all C (p1_s2_card_3(A,B) & p1_s2_card_3(B,C) -> p1_s2_card_3(A,C))) & (all A all B (p1_s2_card_3(A,B) & p1_s2_card_3(B,A) -> B = A)) & f1_s2_card_3 != k1_xboole_0 -> (exists A ((all B -(p1_s2_card_3(B,A) & B != A & r2_hidden(B,f1_s2_card_3))) & r2_hidden(A,f1_s2_card_3))) # label(s2_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4315 (all A (v1_card_3(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_card_1(k6_card_3(A)))) # label(dt_k6_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4316 (all A all B k3_card_3(k2_funcop_1(k1_tarski(A),B)) = B) # label(t17_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4317 $T # label(dt_k3_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4318 (all A all B k2_zfmisc_1(B,A) = k3_card_3(k2_card_3(k2_funcop_1(A,B)))) # label(t36_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4319 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k4_card_3(B)) <-> k1_relat_1(A) = k1_relat_1(B) & (all C (r2_hidden(C,k1_relat_1(B)) -> r2_hidden(k1_funct_1(A,C),k1_funct_1(B,C))))))))) # label(t18_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4320 $T # label(t21_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4321 (exists A (v1_relat_1(A) & v1_card_3(A) & k1_relat_1(A) = f1_s1_card_3 & (all B (r2_hidden(B,f1_s1_card_3) -> f2_s1_card_3(B) = k1_funct_1(A,B))) & v1_funct_1(A))) # label(s1_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4322 (all A (v1_card_1(A) -> np__1 = k7_card_3(k2_funcop_1(k1_xboole_0,A)))) # label(t49_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4323 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> v1_finset_1(k4_classes1(A)))) # label(t57_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4324 $T # label(dt_k5_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4325 (all A all B (k1_xboole_0 != A -> B = k3_card_3(k2_funcop_1(A,B)))) # label(t16_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4326 (all A (v1_finset_1(A) -> r2_hidden(k1_card_1(A),k1_card_1(k5_ordinal2)))) # label(t58_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4327 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> -(r2_hidden(A,k3_card_3(k2_card_3(B))) & (all C all D k4_tarski(C,D) != A)))) # label(t32_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4328 (all A (v1_card_1(A) -> k6_card_3(k2_funcop_1(k1_xboole_0,A)) = np__0)) # label(t48_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4329 $T # label(t41_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4330 (all A (v1_card_1(A) -> (all B ((all C (r2_hidden(C,B) -> r2_hidden(k1_card_1(C),A))) & v6_ordinal1(B) -> r1_tarski(k1_card_1(k3_tarski(B)),A))))) # label(t62_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4331 $T # label(t23_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4332 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> k3_card_2(B,A) = k7_card_3(k2_funcop_1(A,B)))))) # label(t53_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4333 $T # label(t42_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4334 (all A (v3_ordinal1(A) -> (all B (v1_card_1(B) -> (r2_hidden(k1_card_1(A),B) -> r2_hidden(A,B)))))) # label(t60_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4335 $T # label(t7_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4336 (all A (v1_funct_1(A) & v1_card_3(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) -> (r1_tarski(A,B) -> r2_hidden(np__0,k2_relat_1(B)) | r1_tarski(k7_card_3(A),k7_card_3(B))))))) # label(t47_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4337 (all A all B all C r1_tarski(k5_xboole_0(k5_card_3(B,A),k5_card_3(B,C)),k5_card_3(B,k5_xboole_0(A,C)))) # label(t30_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4338 (all A all B (p1_s3_card_3(A,B) | p1_s3_card_3(B,A))) & (all A all B all C (p1_s3_card_3(B,C) & p1_s3_card_3(A,B) -> p1_s3_card_3(A,C))) & k1_xboole_0 != f1_s3_card_3 -> (exists A (r2_hidden(A,f1_s3_card_3) & (all B (r2_hidden(B,f1_s3_card_3) -> p1_s3_card_3(A,B))))) # label(s3_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4339 (all A all B all C r1_tarski(k4_xboole_0(k5_card_3(B,A),k5_card_3(B,C)),k5_card_3(B,k4_xboole_0(A,C)))) # label(t29_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4340 (all A all B all C (v1_setfam_1(B) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) -> v1_fraenkel(k4_card_3(C)) & -v1_xboole_0(k4_card_3(C)))) # label(fc4_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4341 (exists A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A))) # label(rc1_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4342 (all A (v1_relat_1(A) & v1_funct_1(A) & v2_relat_1(A) -> -v1_xboole_0(k4_card_3(A)) & v1_fraenkel(k4_card_3(A)))) # label(fc5_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4343 (all A (v1_relat_1(A) & v1_card_3(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) -> ((all C (r2_hidden(C,k1_relat_1(A)) -> r1_tarski(k1_funct_1(A,C),k1_funct_1(B,C)))) & k1_relat_1(A) = k1_relat_1(B) -> r1_tarski(k6_card_3(A),k6_card_3(B))))))) # label(t43_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4344 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(B)) -> k1_xboole_0 = k4_card_3(B) | k5_card_3(A,k4_card_3(B)) = k1_funct_1(B,A)))) # label(t22_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4345 (all A all B (v1_card_3(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_card_3(k7_relat_1(A,B)) & v1_funct_1(k7_relat_1(A,B)) & v1_relat_1(k7_relat_1(A,B)))) # label(fc1_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4346 (all A all B k4_card_3(k2_funcop_1(A,B)) = k1_funct_2(A,B)) # label(t20_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4347 (all A k5_card_3(A,k1_xboole_0) = k1_xboole_0) # label(t24_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4348 $T # label(t1_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.62 4349 (exists A (v1_relat_1(A) & v1_funct_1(A) & (all B (r2_hidden(B,f1_s4_card_3) -> (all C (r2_hidden(C,k1_funct_1(A,B)) <-> p1_s4_card_3(B,C) & r2_hidden(C,f2_s4_card_3(B)))))) & f1_s4_card_3 = k1_relat_1(A))) # label(s4_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4350 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(A,B) -> r1_tarski(k3_card_3(A),k3_card_3(B))))))) # label(t35_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4351 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_card_3(B) -> ((all C (r2_hidden(C,k1_relat_1(A)) -> k1_card_1(k1_funct_1(A,C)) = k1_funct_1(B,C))) & k1_relat_1(A) = k1_relat_1(B) <-> B = k1_card_3(A)))))) # label(d2_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4352 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_card_3(A) -> k1_card_1(k4_card_3(A)) = k7_card_3(A))) # label(d8_card_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4353 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) & -v1_xboole_0(A) -> k12_classes2(A,B,C) = k1_funct_2(B,C))) # label(redefinition_k12_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4354 (all A all B (v1_classes1(A) & r2_hidden(B,A) & v1_ordinal1(B) -> r1_tarski(B,A))) # label(t8_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4355 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) -> m1_subset_1(k5_classes2(A,B,C),A))) # label(dt_k5_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4356 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) & -v1_xboole_0(A) -> k5_classes2(A,C,B) = k5_classes2(A,B,C))) # label(commutativity_k5_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4357 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r1_tarski(k16_classes2(A),k16_classes2(B)) <-> r1_ordinal1(A,B)))))) # label(t82_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4358 (all A (v1_classes2(A) -> v2_classes1(A) & v1_classes1(A) & v1_ordinal1(A))) # label(cc2_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4359 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,k2_ordinal2(k1_classes1(B))) -> r2_hidden(k4_classes1(A),k1_classes1(B)) & r2_hidden(k1_card_1(k4_classes1(A)),k1_card_1(k1_classes1(B))))))) # label(t27_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4360 (all A (v1_classes2(k15_classes2(A)) & -v1_xboole_0(k15_classes2(A)))) # label(dt_k15_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4361 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (v1_classes2(B) & -v1_xboole_0(B) -> -v1_xboole_0(k2_xboole_0(A,B)) & -v1_xboole_0(k3_xboole_0(A,B)) & v1_classes2(k3_xboole_0(A,B)) & v1_classes2(k2_xboole_0(A,B)))))) # label(t61_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4362 $T # label(t48_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4363 (all A (v2_classes1(A) -> r1_tarski(k4_classes1(k1_card_1(A)),A))) # label(t28_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4364 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,k2_ordinal2(k1_classes1(B))) -> r1_tarski(k1_card_1(k4_classes1(A)),k1_card_1(k1_classes1(B))))))) # label(t34_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4365 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) & v1_classes2(A) -> k1_zfmisc_1(B) = k2_classes2(A,B))) # label(redefinition_k2_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4366 (all A all B all C (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> k5_xboole_0(B,C) = k10_classes2(A,B,C))) # label(redefinition_k10_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4367 (all A (v3_ordinal1(A) -> v1_ordinal1(k16_classes2(A)) & v1_classes1(k16_classes2(A)) & v2_classes1(k16_classes2(A)) & v1_classes2(k16_classes2(A)) & -v1_xboole_0(k16_classes2(A)))) # label(fc8_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4368 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v4_ordinal1(k2_ordinal2(A)) & k1_xboole_0 != k2_ordinal2(A))) # label(t55_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4369 (all A (v2_classes1(A) -> k1_card_1(k4_classes1(k1_card_1(A))) = k1_card_1(A))) # label(t35_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4370 $T # label(t74_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4371 (all A all B -(r1_tarski(A,k4_classes1(k1_card_1(k1_classes1(B)))) & -r2_wellord2(A,k4_classes1(k1_card_1(k1_classes1(B)))) & -r2_hidden(A,k4_classes1(k1_card_1(k1_classes1(B)))))) # label(t38_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4372 (all A (v1_classes2(A) & -v1_xboole_0(A) -> v3_ordinal1(k2_ordinal2(A)))) # label(t50_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4373 (all A (v3_ordinal1(A) -> v1_ordinal1(k4_classes1(A)))) # label(fc7_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4374 (all A all B all C (r2_hidden(C,A) & r2_hidden(B,A) & v2_classes1(A) -> r2_hidden(k4_tarski(B,C),A))) # label(t4_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4375 (all A all B (v1_classes2(A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k4_classes2(A,B) = k1_setfam_1(B))) # label(redefinition_k4_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4376 (all A all B all C (v1_classes2(C) & -v1_xboole_0(C) -> (r2_hidden(B,C) & r2_hidden(A,C) -> r2_hidden(k4_tarski(A,B),C) & r2_hidden(k2_tarski(A,B),C)))) # label(t64_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4377 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (v1_classes2(B) & -v1_xboole_0(B) -> (all C (v1_classes2(C) & -v1_xboole_0(C) -> (r2_hidden(B,C) & r2_hidden(A,B) -> r2_hidden(A,C)))))))) # label(t59_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4378 $T # label(t2_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4379 (all A all B (v2_classes1(A) & v1_ordinal1(B) & r2_hidden(B,A) -> r2_hidden(B,k4_classes1(k1_card_1(A))))) # label(t43_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4380 (all A (v2_classes1(A) & v1_ordinal1(A) -> r1_tarski(A,k4_classes1(k1_card_1(A))))) # label(t31_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4381 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,k1_classes1(B)) -> r2_hidden(k1_ordinal1(A),k1_classes1(B)) & r1_tarski(A,k1_classes1(B)))))) # label(t7_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4382 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) -> k8_classes2(A,B,B) = B)) # label(idempotence_k8_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4383 (all A all B (v1_classes2(B) & -v1_xboole_0(B) -> (r2_hidden(A,B) -> r2_hidden(k1_zfmisc_1(A),B) & r2_hidden(k1_setfam_1(A),B) & r2_hidden(k3_tarski(A),B)))) # label(t65_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4384 $T # label(t60_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4385 (all A all B (v1_classes2(A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> k1_tarski(B) = k1_classes2(A,B))) # label(redefinition_k1_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4386 $T # label(t68_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4387 (all A all B (r2_hidden(A,k1_classes1(B)) & v1_ordinal1(A) -> r1_tarski(A,k1_classes1(B)))) # label(t9_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4388 (all A k1_card_1(k1_classes1(A)) = k2_ordinal2(k1_classes1(A))) # label(t11_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4389 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (k16_classes2(B) = k16_classes2(A) -> A = B))))) # label(t81_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4390 (all A all B (m1_subset_1(B,A) & v1_classes2(A) & -v1_xboole_0(A) -> m1_subset_1(k4_classes2(A,B),A))) # label(dt_k4_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4391 (all A all B (r2_hidden(B,k1_card_1(A)) & v2_classes1(A) -> r2_hidden(B,A))) # label(t14_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4392 (all A (v1_ordinal1(A) -> r1_classes1(A,k4_classes1(k1_card_1(k1_classes1(A)))))) # label(t45_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4393 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (exists B (m1_subset_1(B,A) & -v1_xboole_0(B))))) # label(rc2_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4394 (all A (v1_classes2(A) <-> v2_classes1(A) & v1_ordinal1(A))) # label(d1_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4395 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) & -v1_xboole_0(A) -> k4_xboole_0(B,C) = k9_classes2(A,B,C))) # label(redefinition_k9_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4396 (all A all B (v1_classes2(B) & -v1_xboole_0(B) -> (r2_hidden(A,B) -> r2_hidden(k1_tarski(A),B)))) # label(t63_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4397 (all A (v1_relat_1(A) & v5_ordinal1(A) & v1_funct_1(A) -> ((all B (v3_ordinal1(B) -> (r2_hidden(B,k1_relat_1(A)) -> k1_funct_1(A,B) = k4_classes1(B)))) & v4_ordinal1(k1_relat_1(A)) -> k3_card_3(A) = k4_classes1(k1_relat_1(A))))) # label(t25_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4398 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) & -v1_xboole_0(A) -> k11_classes2(A,B,C) = k2_zfmisc_1(B,C))) # label(redefinition_k11_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4399 (all A (v1_card_1(A) -> (all B (v2_classes1(B) & r2_hidden(A,B) -> r1_tarski(A,B))))) # label(t18_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4400 (all A all B (v1_classes2(A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k3_classes2(A,B),A))) # label(dt_k3_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4401 (all A all B all C (-v1_xboole_0(C) & v1_classes2(C) -> (r2_hidden(A,C) & r2_hidden(B,C) -> r2_hidden(k2_zfmisc_1(A,B),C) & r2_hidden(k1_funct_2(A,B),C)))) # label(t67_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4402 (all A all B all C (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(C,A) & m1_subset_1(B,A) -> k2_tarski(B,C) = k5_classes2(A,B,C))) # label(redefinition_k5_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4403 $T # label(t73_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4404 (all A all B (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) -> k3_tarski(B) = k3_classes2(A,B))) # label(redefinition_k3_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4405 (all A (-v1_xboole_0(A) & v1_classes2(A) -> r2_hidden(k1_xboole_0,A))) # label(t62_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4406 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v1_ordinal1(k1_classes1(A)) & v1_classes2(k1_classes1(A)) & v2_classes1(k1_classes1(A)) & v1_classes1(k1_classes1(A)) & -v1_xboole_0(k1_classes1(A)))) # label(fc3_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4407 (all A (v1_card_1(A) -> (all B (r2_hidden(A,k1_classes1(B)) -> r1_tarski(A,k1_classes1(B)))))) # label(t19_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4408 (all A (v3_ordinal1(A) -> (all B ((exists C (v1_funct_1(C) & B = k1_ordinal2(C) & k1_ordinal1(A) = k1_relat_1(C) & k13_classes2 = k1_funct_1(C,k1_xboole_0) & (all D (v3_ordinal1(D) -> (r2_hidden(D,k1_ordinal1(A)) & v4_ordinal1(D) -> D = k1_xboole_0 | k1_funct_1(C,D) = k15_classes2(k3_card_3(k2_ordinal1(C,D)))))) & (all D (v3_ordinal1(D) -> (r2_hidden(k1_ordinal1(D),k1_ordinal1(A)) -> k1_funct_1(C,k1_ordinal1(D)) = k1_classes1(k1_funct_1(C,D))))) & v5_ordinal1(C) & v1_relat_1(C))) <-> k16_classes2(A) = B)))) # label(d5_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4409 (all A (np__0 != k1_card_1(k1_classes1(A)) & v4_ordinal1(k1_card_1(k1_classes1(A))) & k1_xboole_0 != k1_card_1(k1_classes1(A)))) # label(t22_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4410 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) & -v1_xboole_0(A) -> m1_subset_1(k7_classes2(A,B,C),A))) # label(dt_k7_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4411 (all A all B all C (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> B = k7_classes2(A,B,B))) # label(idempotence_k7_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4412 (all A all B -(-r2_wellord2(B,k4_classes1(k1_card_1(A))) & -r2_hidden(B,k4_classes1(k1_card_1(A))) & r1_tarski(B,k4_classes1(k1_card_1(A))) & v2_classes1(A))) # label(t37_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4413 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) -> k8_classes2(A,C,B) = k8_classes2(A,B,C))) # label(commutativity_k8_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4414 (all A (v3_ordinal1(A) -> v1_ordinal1(k1_classes1(A)) & v1_classes1(k1_classes1(A)) & v2_classes1(k1_classes1(A)) & v1_classes2(k1_classes1(A)) & -v1_xboole_0(k1_classes1(A)))) # label(fc4_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4415 (all A all B (v1_classes1(A) & r2_hidden(B,A) -> -r2_wellord2(B,A) & r2_hidden(k1_card_1(B),k1_card_1(A)))) # label(t1_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4416 (all A (v2_classes1(A) -> k1_card_1(A) = k2_ordinal2(A))) # label(t10_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4417 $T # label(t47_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4418 (all A (v2_classes1(A) -> k1_xboole_0 != k1_card_1(A) & v4_ordinal1(k1_card_1(A)) & np__0 != k1_card_1(A) | A = k1_xboole_0)) # label(t21_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4419 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) & -v1_xboole_0(A) -> k4_tarski(B,C) = k6_classes2(A,B,C))) # label(redefinition_k6_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4420 (all A all B (v2_classes1(A) -> r1_tarski(k1_funct_2(B,A),A) | -(r1_tarski(B,A) & r2_hidden(B,A)) & -(r2_hidden(k1_card_1(B),k1_card_1(A)) & r1_tarski(B,A)) & -(v1_ordinal1(A) & r2_hidden(B,A)))) # label(t23_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4421 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) & -v1_xboole_0(A) -> m1_subset_1(k9_classes2(A,B,C),A))) # label(dt_k9_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4422 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (v1_classes2(B) & -v1_xboole_0(B) -> r3_xboole_0(A,B))))) # label(t58_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4423 $T # label(t49_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4424 (all A (v3_ordinal1(A) -> (all B (v2_classes1(B) & r2_hidden(A,k2_ordinal2(B)) -> r1_tarski(k1_card_1(k4_classes1(A)),k1_card_1(B)))))) # label(t33_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4425 (all A (v2_classes1(A) -> v1_classes1(A))) # label(cc1_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4426 (all A (v1_ordinal1(A) & v2_classes1(A) -> k4_classes1(k1_card_1(A)) = A)) # label(t32_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4427 (all A all B (v1_classes2(A) & m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k1_classes2(A,B),A))) # label(dt_k1_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4428 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,k2_ordinal2(B)) & v2_classes1(B) -> r2_hidden(k1_card_1(k4_classes1(A)),k1_card_1(B)) & r2_hidden(k4_classes1(A),B))))) # label(t26_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4429 (all A (v1_ordinal1(A) -> v1_classes2(k1_classes1(A)))) # label(t51_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4430 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v1_classes2(k1_classes1(A)) & -v1_xboole_0(k1_classes1(A)))) # label(t52_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4431 (all A all B all C (-v1_xboole_0(C) & v1_classes2(C) -> (r2_hidden(B,C) & r2_hidden(A,C) -> r2_hidden(k4_xboole_0(A,B),C) & r2_hidden(k5_xboole_0(A,B),C) & r2_hidden(k3_xboole_0(A,B),C) & r2_hidden(k2_xboole_0(A,B),C)))) # label(t66_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4432 (all A all B all C (v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k10_classes2(A,B,C) = k10_classes2(A,C,B))) # label(commutativity_k10_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4433 (all A (-v1_xboole_0(k1_classes1(A)) & v2_classes1(k1_classes1(A)) & v1_classes1(k1_classes1(A)))) # label(fc1_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4434 (all A all B (r2_hidden(A,k1_classes1(B)) -> r2_hidden(k1_card_1(A),k1_classes1(B)))) # label(t13_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4435 $T # label(dt_k16_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4436 (all A all B (v2_classes1(A) & r2_hidden(B,A) -> r2_hidden(k1_card_1(B),A))) # label(t12_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4437 (all A (-v1_xboole_0(A) & v1_classes2(A) -> r1_tarski(k1_classes1(k1_xboole_0),A) & r1_tarski(k16_classes2(k1_xboole_0),A) & r1_tarski(k13_classes2,A))) # label(t79_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4438 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) -> m1_subset_1(k10_classes2(A,B,C),A))) # label(dt_k10_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4439 (all A all B all C (v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) & -v1_xboole_0(A) -> k8_classes2(A,B,C) = k3_xboole_0(B,C))) # label(redefinition_k8_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4440 (all A all B (v2_classes1(A) & v1_ordinal1(A) & r2_hidden(B,A) -> r2_hidden(k6_classes1(B),A))) # label(t30_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4441 (all A (v1_ordinal1(A) -> r1_tarski(k1_card_1(k6_classes1(A)),k1_card_1(A)))) # label(t42_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4442 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) & v1_classes2(A) -> m1_subset_1(k2_classes2(A,B),A) & -v1_xboole_0(k2_classes2(A,B)))) # label(dt_k2_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4443 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) & -v1_xboole_0(A) -> m1_subset_1(k6_classes2(A,B,C),A))) # label(dt_k6_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4444 (all A v2_classes1(k4_classes1(k1_card_1(k1_classes1(A))))) # label(t40_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4445 $T # label(t72_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4446 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) -> m1_subset_1(k12_classes2(A,B,C),A))) # label(dt_k12_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4447 (all A (v3_ordinal1(A) -> k1_classes1(k16_classes2(A)) = k16_classes2(k1_ordinal1(A)))) # label(t76_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4448 (all A (v1_card_1(A) -> (all B (r2_hidden(A,k1_card_1(k1_classes1(B))) -> r2_hidden(A,k1_classes1(B)))))) # label(t17_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4449 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) -> k2_xboole_0(B,C) = k7_classes2(A,B,C))) # label(redefinition_k7_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4450 (all A all B all C (v2_classes1(A) & r2_hidden(B,A) & r2_hidden(C,A) -> r2_hidden(k2_tarski(B,C),A) & r2_hidden(k1_tarski(B),A))) # label(t3_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4451 (all A (v3_ordinal1(A) -> v1_classes2(k1_classes1(A)))) # label(t53_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4452 (all A all B all C (m1_subset_1(C,A) & m1_subset_1(B,A) & v1_classes2(A) & -v1_xboole_0(A) -> m1_subset_1(k8_classes2(A,B,C),A))) # label(dt_k8_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4453 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (-v1_xboole_0(B) & v1_classes2(B) -> -(-r2_hidden(A,B) & A != B & -r2_hidden(B,A)))))) # label(t56_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4454 (all A all B (r2_hidden(A,k1_card_1(k1_classes1(B))) -> r2_hidden(A,k1_classes1(B)))) # label(t15_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4455 (all A (v1_ordinal1(A) -> k4_classes1(k1_card_1(k1_classes1(A))) = k1_classes1(A))) # label(t46_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4456 (all A r1_tarski(k4_classes1(k1_card_1(k1_classes1(A))),k1_classes1(A))) # label(t29_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4457 (all A all B (v1_ordinal1(A) & r2_hidden(A,k1_classes1(B)) -> r2_hidden(A,k4_classes1(k1_card_1(k1_classes1(B)))))) # label(t44_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4458 (all A (v1_ordinal1(A) -> v1_classes2(k1_classes1(A)) & v2_classes1(k1_classes1(A)) & v1_classes1(k1_classes1(A)) & -v1_xboole_0(k1_classes1(A)) & v1_ordinal1(k1_classes1(A)))) # label(fc6_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4459 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v2_ordinal1(k2_ordinal2(A)) & v3_ordinal1(k2_ordinal2(A)) & v1_ordinal1(k2_ordinal2(A)))) # label(fc2_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4460 (all A (v3_ordinal1(A) -> (all B -(v1_ordinal1(B) & (all C -(r2_hidden(C,B) & A = k6_classes1(C))) & r2_hidden(A,k6_classes1(B)))))) # label(t41_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4461 (all A all B (-(-(r2_hidden(A,k1_classes1(B)) & v1_ordinal1(B)) & -(r2_hidden(k1_card_1(A),k1_card_1(k1_classes1(B))) & r1_tarski(A,k1_classes1(B))) & -(r1_tarski(A,k1_classes1(B)) & r2_hidden(A,k1_classes1(B)))) -> r1_tarski(k1_funct_2(A,k1_classes1(B)),k1_classes1(B)))) # label(t24_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4462 (all A (-v1_xboole_0(A) & v1_classes2(A) -> k4_classes1(k2_ordinal2(A)) = A)) # label(t54_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4463 (all A all B all C (-v1_xboole_0(A) & v1_classes2(A) & m1_subset_1(B,A) & m1_subset_1(C,A) -> k7_classes2(A,B,C) = k7_classes2(A,C,B))) # label(commutativity_k7_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4464 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r2_hidden(A,B) <-> r2_hidden(k16_classes2(A),k16_classes2(B))))))) # label(t80_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4465 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & v1_classes2(B) -> r1_tarski(A,B) | r2_hidden(B,A))))) # label(t57_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4466 (all A (v1_ordinal1(A) & v2_classes1(A) -> v1_classes2(A))) # label(cc3_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4467 (all A (v2_classes1(A) -> v2_classes1(k4_classes1(k1_card_1(A))))) # label(t39_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4468 (all A all B (-v1_xboole_0(B) & v1_classes2(B) -> ((all C (v1_classes2(C) & -v1_xboole_0(C) -> (r1_tarski(A,C) -> r1_tarski(B,C)))) & r1_tarski(A,B) <-> k15_classes2(A) = B))) # label(d4_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4469 (all A (v2_classes1(A) -> v4_ordinal1(k1_card_1(A)))) # label(t20_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4470 (all A (v3_ordinal1(A) -> (all B (r2_hidden(A,B) & v2_classes1(B) -> r1_tarski(A,B) & r2_hidden(k1_ordinal1(A),B))))) # label(t6_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4471 (all A v1_ordinal1(k5_classes1(A))) # label(fc5_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4472 (all A all B all C (m1_subset_1(B,A) & m1_subset_1(C,A) & v1_classes2(A) & -v1_xboole_0(A) -> m1_subset_1(k11_classes2(A,B,C),A))) # label(dt_k11_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4473 (all A (v3_ordinal1(A) -> (all B (v5_ordinal1(B) & v1_funct_1(B) & v1_relat_1(B) -> (v4_ordinal1(A) & k1_relat_1(B) = A & (all C (v3_ordinal1(C) -> (r2_hidden(C,A) -> k1_funct_1(B,C) = k16_classes2(C)))) -> k15_classes2(k3_card_3(B)) = k16_classes2(A) | A = k1_xboole_0))))) # label(t78_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4474 (exists A (v1_ordinal1(A) & -v1_xboole_0(A) & v2_classes1(A) & v1_classes2(A) & v1_classes1(A))) # label(rc1_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4475 (all A (v1_card_1(A) -> (all B (r2_hidden(A,k1_card_1(B)) & v2_classes1(B) -> r2_hidden(A,B))))) # label(t16_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4476 (all A all B (v2_classes1(A) & r2_hidden(B,A) -> r1_tarski(k1_classes1(B),A))) # label(t5_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4477 (all A k1_card_1(k1_classes1(A)) = k1_card_1(k4_classes1(k1_card_1(k1_classes1(A))))) # label(t36_classes2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4478 $T # label(t35_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4479 (all A (v4_ordinal2(A) -> k1_finseq_2(A) = k14_finseq_1(k2_finseq_1(A)))) # label(t54_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4480 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (r2_hidden(B,k2_relat_1(A)) -> r2_hidden(np__1,k4_finseq_1(A)))))) # label(t33_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4481 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> k1_finseq_2(A) = k7_relat_1(k1_finseq_2(k2_xcmplx_0(A,B)),k2_finseq_1(A)))))) # label(t56_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4482 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (k2_relat_1(k1_finseq_3(A,B)) = k2_relat_1(A) -> r1_xboole_0(B,k2_relat_1(A)))))) # label(t74_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4483 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C k7_finseq_1(k1_finseq_3(A,C),k1_finseq_3(B,C)) = k1_finseq_3(k7_finseq_1(A,B),C)))))) # label(t80_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4484 (all A (v4_ordinal2(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (r2_hidden(A,k4_finseq_1(B)) -> k1_funct_1(B,A) = k1_funct_1(k7_finseq_1(k9_finseq_1(C),B),k2_xcmplx_0(A,np__1)))))))) # label(t112_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4485 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B all C (v2_funct_1(A) & k2_relat_1(A) = k2_tarski(B,C) -> B = C | k3_finseq_1(A) = np__2)))) # label(t107_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4486 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (k2_relat_1(A) = k1_tarski(B) & v2_funct_1(A) -> k3_finseq_1(A) = np__1)))) # label(t105_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4487 (all A (v4_ordinal2(A) -> k1_tarski(k2_xcmplx_0(A,np__1)) = k6_subset_1(k5_numbers,k2_finseq_1(k2_xcmplx_0(A,np__1)),k2_finseq_1(A)))) # label(t16_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4488 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k1_nat_1(C,np__1) = D & r2_hidden(B,k2_finseq_1(D)) & r2_hidden(A,k2_finseq_1(C)) -> (r1_xreal_0(B,A) & r1_xreal_0(A,C) -> k1_nat_1(A,np__1) = k1_funct_1(k14_finseq_1(k4_xboole_0(k2_finseq_1(D),k1_tarski(B))),A)) & (r1_xreal_0(np__1,A) -> A = k1_funct_1(k14_finseq_1(k4_xboole_0(k2_finseq_1(D),k1_tarski(B))),A) | r1_xreal_0(B,A))))))))))) # label(t117_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4489 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r1_xreal_0(B,A) <-> k1_finseq_2(B) = k7_relat_1(k1_finseq_2(A),k2_finseq_1(B))))))) # label(t57_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4490 (all A (v4_ordinal2(A) -> (all B (v1_finset_1(B) -> (r1_tarski(B,k2_finseq_1(A)) -> k4_card_1(B) = k3_finseq_1(k14_finseq_1(B))))))) # label(t44_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4491 $T # label(t21_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4492 (all A all B all C (r2_hidden(A,B) -> k1_finseq_3(k10_finseq_1(A,C),B) = k9_finseq_1(C) | r2_hidden(C,B))) # label(t85_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4493 (all A (v4_ordinal2(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (-r2_hidden(A,k4_finseq_1(B)) -> k2_finseq_3(A,B) = B) & -(r2_hidden(A,k4_finseq_1(B)) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> -(k1_nat_1(C,np__1) = k3_finseq_1(B) & C = k3_finseq_1(k2_finseq_3(A,B)))))))))) # label(t113_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4494 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B all C (m2_finseq_1(A,B) -> m2_finseq_1(k1_finseq_3(A,C),B))))) # label(t93_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4495 (all A (v4_ordinal2(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> k2_finseq_3(A,B) = k5_relat_1(k14_finseq_1(k4_xboole_0(k4_finseq_1(B),k1_tarski(A))),B))))) # label(d2_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4496 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B r1_tarski(k4_finseq_1(k1_finseq_3(A,B)),k4_finseq_1(A))))) # label(t70_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4497 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (r2_hidden(B,k4_finseq_1(A)) -> m2_subset_1(B,k1_numbers,k5_numbers))))) # label(t25_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4498 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B all C all D (k1_enumset1(B,C,D) = k2_relat_1(A) & v2_funct_1(k11_finseq_1(B,C,D)) & v2_funct_1(A) -> np__3 = k3_finseq_1(A))))) # label(t109_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4499 $T # label(t101_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4500 (all A k1_finseq_3(k1_xboole_0,A) = k1_xboole_0) # label(t81_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4501 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (-r1_xreal_0(B,A) -> r2_hidden(k2_xcmplx_0(A,np__1),k2_finseq_1(B))))))) # label(t12_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4502 (all A (v4_ordinal2(A) -> k2_finseq_1(k2_xcmplx_0(A,np__1)) != k2_finseq_1(A))) # label(t17_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4503 (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 all D (v4_ordinal2(D) -> (k2_xcmplx_0(D,np__1) = k3_finseq_1(A) & B = k7_relat_1(A,k2_finseq_1(D)) -> (k1_finseq_3(A,C) = k7_finseq_1(k1_finseq_3(B,C),k9_finseq_1(k1_funct_1(A,k2_xcmplx_0(D,np__1)))) <-> -r2_hidden(k1_funct_1(A,k2_xcmplx_0(D,np__1)),C))))))))) # label(t91_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4504 (all A v2_funct_1(k9_finseq_1(A))) # label(t102_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4505 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v4_ordinal2(B) -> (m2_subset_1(k6_xcmplx_0(B,np__1),k1_numbers,k5_numbers) & m2_subset_1(k6_xcmplx_0(k3_finseq_1(A),B),k1_numbers,k5_numbers) <-> r2_hidden(B,k4_finseq_1(A))))))) # label(t28_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4506 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (k3_finseq_1(A) = k3_finseq_1(k1_finseq_3(A,B)) -> r1_xboole_0(B,k2_relat_1(A)))))) # label(t68_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4507 (all A (v4_ordinal2(A) -> (A != np__0 -> k14_finseq_1(k1_tarski(A)) = k9_finseq_1(A)))) # label(t50_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4508 (all A all B all C (-r2_hidden(B,C) & -r2_hidden(A,C) <-> k10_finseq_1(A,B) = k1_finseq_3(k10_finseq_1(A,B),C))) # label(t89_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4509 (all A (v4_ordinal2(A) -> (all B (v1_finset_1(B) -> (r1_tarski(B,k2_finseq_1(A)) -> k2_finseq_1(k4_card_1(B)) = k4_finseq_1(k14_finseq_1(B))))))) # label(t45_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4510 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B all C (v4_ordinal2(C) -> (C = k6_xcmplx_0(k3_finseq_1(A),k4_card_1(k10_relat_1(A,B))) -> k2_finseq_1(C) = k4_finseq_1(k1_finseq_3(A,B))))))) # label(t69_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4511 (all A all B k4_finseq_1(k10_finseq_1(A,B)) = k2_finseq_1(np__2)) # label(t29_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4512 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> k1_xboole_0 = k1_finseq_3(A,k2_relat_1(A)))) # label(t79_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4513 (all A all B all C k1_xboole_0 != k11_finseq_1(A,B,C)) # label(t39_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4514 (all A all B (k9_finseq_1(A) = k1_finseq_3(k9_finseq_1(A),B) <-> -r2_hidden(A,B))) # label(t82_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4515 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v2_funct_1(A) -> v2_funct_1(k1_finseq_3(A,B)))))) # label(t94_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4516 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C k4_card_1(k10_relat_1(k7_finseq_1(A,B),C)) = k1_nat_1(k4_card_1(k10_relat_1(A,C)),k4_card_1(k10_relat_1(B,C)))))))) # label(t63_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4517 (all A all B (k1_finseq_3(k9_finseq_1(A),B) = k1_xboole_0 <-> r2_hidden(A,B))) # label(t83_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4518 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> r3_xboole_0(k2_finseq_1(A),k2_finseq_1(B)))))) # label(t20_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4519 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r2_hidden(k2_xcmplx_0(A,B),k2_finseq_1(A)) -> np__0 = B))))) # label(t11_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4520 (all A (v4_ordinal2(A) -> v2_funct_1(k1_finseq_2(A)))) # label(t100_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4521 (all A all B (v4_ordinal2(B) -> (all C (v4_ordinal2(C) -> (all D (v4_ordinal2(D) -> (all E (v4_ordinal2(E) -> (all F (v4_ordinal2(F) -> -(-r1_xreal_0(D,C) & D = k1_funct_1(k14_finseq_1(A),E) & r1_xreal_0(E,F) & k1_funct_1(k14_finseq_1(A),F) = C & r1_xreal_0(F,k3_finseq_1(k14_finseq_1(A))) & r1_xreal_0(np__1,E) & r1_tarski(A,k2_finseq_1(B))))))))))))) # label(t46_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4522 (all A (v4_ordinal2(A) -> A = k3_finseq_1(k14_finseq_1(k2_finseq_1(A))))) # label(t52_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4523 (all A (v4_ordinal2(A) -> (-r2_hidden(A,k2_finseq_1(A)) <-> k2_finseq_1(A) = k1_xboole_0))) # label(t7_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4524 $T # label(t36_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4525 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v4_ordinal2(C) -> (k3_finseq_1(A) = k2_xcmplx_0(C,np__1) & k7_relat_1(A,k2_finseq_1(C)) = B -> k7_finseq_1(B,k9_finseq_1(k1_funct_1(A,k2_xcmplx_0(C,np__1)))) = A))))))) # label(t61_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4526 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v4_ordinal2(C) -> (all D (v4_ordinal2(D) -> (k3_finseq_1(A) = k2_xcmplx_0(C,D) & k7_relat_1(A,k2_finseq_1(C)) = B -> k2_finseq_1(C) = k4_finseq_1(B)))))))))) # label(t60_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4527 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (k1_tarski(B) = k2_relat_1(A) & v2_funct_1(A) -> k9_finseq_1(B) = A)))) # label(t106_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4528 (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 all D (v4_ordinal2(D) -> (k2_xcmplx_0(D,np__1) = k3_finseq_1(A) & k7_relat_1(A,k2_finseq_1(D)) = B -> (k1_finseq_3(A,C) = k1_finseq_3(B,C) <-> r2_hidden(k1_funct_1(A,k2_xcmplx_0(D,np__1)),C))))))))) # label(t90_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4529 $T # label(t8_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4530 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (k1_xboole_0 = k1_finseq_3(A,B) <-> r1_tarski(k2_relat_1(A),B))))) # label(t75_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4531 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (r1_xboole_0(B,k2_relat_1(A)) <-> k1_finseq_3(A,B) = A)))) # label(t76_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4532 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B r1_xreal_0(k3_finseq_1(k1_finseq_3(A,B)),k3_finseq_1(A))))) # label(t67_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.63 4533 (all A all B all C (k1_finseq_3(k10_finseq_1(A,B),C) = k9_finseq_1(A) -> B = A | -r2_hidden(A,C) & r2_hidden(B,C))) # label(t88_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4534 (all A all B (v2_funct_1(k10_finseq_1(A,B)) <-> B != A)) # label(t103_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4535 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (k2_finseq_1(A) = k2_finseq_1(k2_xcmplx_0(A,B)) -> B = np__0))))) # label(t18_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4536 (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) -> (k4_finseq_1(B) = k4_finseq_1(A) <-> k3_finseq_1(B) = k3_finseq_1(A)))))) # label(t31_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4537 (all A all B (v4_ordinal2(B) -> (r1_tarski(A,k2_finseq_1(B)) -> v2_funct_1(k14_finseq_1(A))))) # label(t99_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4538 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B k5_relat_1(k14_finseq_1(k4_xboole_0(k4_finseq_1(A),k10_relat_1(A,B))),A) = k1_finseq_3(A,B)))) # label(d1_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4539 (all A all B all C all D k9_finseq_1(A) != k11_finseq_1(B,C,D)) # label(t41_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4540 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (r1_xreal_0(A,B) <-> k7_relat_1(k1_finseq_2(A),k2_finseq_1(B)) = k1_finseq_2(A)))))) # label(t58_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4541 (all A all B all C k4_finseq_1(k11_finseq_1(A,B,C)) = k2_finseq_1(np__3)) # label(t30_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4542 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v4_ordinal2(B) -> (r2_hidden(B,k4_finseq_1(A)) <-> r1_xreal_0(np__1,B) & r1_xreal_0(B,k3_finseq_1(A))))))) # label(t27_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4543 (all A all B all C (v4_ordinal2(C) -> (all D (v4_ordinal2(D) -> (r1_tarski(A,k2_finseq_1(C)) & r1_tarski(B,k2_finseq_1(D)) -> (k8_finseq_1(k5_numbers,k14_finseq_1(A),k14_finseq_1(B)) = k14_finseq_1(k2_xboole_0(A,B)) <-> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> -(r2_hidden(F,B) & r1_xreal_0(F,E) & r2_hidden(E,A)))))))))))) # label(t48_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4544 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> A = k1_finseq_3(A,k1_xboole_0))) # label(t78_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4545 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C r1_tarski(k10_relat_1(A,C),k10_relat_1(k7_finseq_1(A,B),C))))))) # label(t64_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4546 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> (all C (v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(B)) -> k1_funct_1(B,D) = k1_funct_1(A,D)))) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(C)) -> k1_funct_1(C,D) = k1_funct_1(A,k1_nat_1(k3_finseq_1(B),D))))) & k3_finseq_1(A) = k1_nat_1(k3_finseq_1(B),k3_finseq_1(C)) -> A = k7_finseq_1(B,C)))))))) # label(t43_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4547 (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 (v4_ordinal2(C) -> (all D (v4_ordinal2(D) -> (k7_relat_1(A,k2_finseq_1(C)) = B & k3_finseq_1(A) = k2_xcmplx_0(C,D) -> k3_finseq_1(B) = C))))))))) # label(t59_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4548 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B ((exists C (k3_xboole_0(B,k4_finseq_1(A)) = k2_finseq_1(C) & m2_subset_1(C,k1_numbers,k5_numbers))) <-> v1_funct_1(k7_relat_1(A,B)) & v1_finseq_1(k7_relat_1(A,B)) & v1_relat_1(k7_relat_1(A,B)))))) # label(t62_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4549 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k1_nat_1(C,np__1) = k3_finseq_1(A) -> r1_xreal_0(B,D) | k1_funct_1(k2_finseq_3(B,A),D) = k1_funct_1(A,D)))))))))) # label(t119_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4550 $T # label(t65_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4551 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (r1_tarski(k4_finseq_1(A),k4_finseq_1(B)) <-> r1_xreal_0(k3_finseq_1(A),k3_finseq_1(B))))))) # label(t32_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4552 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (r2_hidden(B,k2_relat_1(A)) & v2_funct_1(A) -> k6_xcmplx_0(k3_finseq_1(A),np__1) = k3_finseq_1(k1_finseq_3(A,k1_tarski(B))))))) # label(t97_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4553 (all A all B all C k10_finseq_1(B,C) != k9_finseq_1(A)) # label(t40_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4554 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (A != np__0 -> r2_hidden(A,k2_finseq_1(k2_xcmplx_0(A,B)))))))) # label(t10_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4555 (all A (v4_ordinal2(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_1(C,B) -> m2_finseq_1(k2_finseq_3(A,C),B))))))) # label(t114_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4556 (all A all B all C all D all E k11_finseq_1(C,D,E) != k10_finseq_1(A,B)) # label(t42_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4557 (all A all B all C (k1_finseq_3(k10_finseq_1(A,B),C) = k9_finseq_1(B) -> A = B | -r2_hidden(B,C) & r2_hidden(A,C))) # label(t86_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4558 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (all C (v4_ordinal2(C) -> (r2_hidden(A,k2_finseq_1(B)) -> r1_xreal_0(A,C) | r2_hidden(k6_xcmplx_0(A,C),k2_finseq_1(B))))))))) # label(t13_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4559 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_finset_1(B) -> (r1_tarski(B,k2_relat_1(A)) & v2_funct_1(A) -> k6_xcmplx_0(k3_finseq_1(A),k4_card_1(B)) = k3_finseq_1(k1_finseq_3(A,B))))))) # label(t96_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4560 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B k3_finseq_1(k1_finseq_3(A,B)) = k6_xcmplx_0(k3_finseq_1(A),k4_card_1(k10_relat_1(A,B)))))) # label(t66_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4561 (all A (v4_ordinal2(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> r1_tarski(k2_relat_1(k2_finseq_3(A,B)),k2_relat_1(B)))))) # label(t115_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4562 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B r1_tarski(k2_relat_1(k1_finseq_3(A,B)),k2_relat_1(A))))) # label(t73_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4563 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v2_funct_1(A) -> k3_finseq_1(k1_finseq_3(A,B)) = k6_xcmplx_0(k3_finseq_1(A),k4_card_1(k3_xboole_0(B,k2_relat_1(A)))))))) # label(t95_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4564 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (k1_xboole_0 != k2_relat_1(A) -> r2_hidden(np__1,k4_finseq_1(A))))) # label(t34_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4565 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B -(r2_hidden(B,k4_finseq_1(A)) & np__0 = B)))) # label(t26_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4566 (all A all B k10_finseq_1(A,B) != k1_xboole_0) # label(t38_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4567 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> v1_finseq_1(k1_finseq_3(A,B)) & v1_funct_1(k1_finseq_3(A,B)) & v1_relat_1(k1_finseq_3(A,B)))) # label(dt_k1_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4568 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> k14_finseq_1(k2_finseq_1(A)) = k7_relat_1(k14_finseq_1(k2_finseq_1(k2_xcmplx_0(A,B))),k2_finseq_1(A)))))) # label(t53_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4569 (all A (v4_ordinal2(A) -> r1_xboole_0(k2_finseq_1(A),k1_tarski(k2_xcmplx_0(A,np__1))))) # label(t15_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4570 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (v4_ordinal2(B) -> (all C (v4_ordinal2(C) -> (r2_hidden(B,k4_finseq_1(A)) & k2_xcmplx_0(C,np__1) = k3_finseq_1(A) -> C = k3_finseq_1(k2_finseq_3(B,A))))))))) # label(t118_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4571 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (A = k1_finseq_3(A,k1_tarski(B)) <-> -r2_hidden(B,k2_relat_1(A)))))) # label(t77_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4572 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (all C (v4_ordinal2(C) -> (k2_xcmplx_0(B,np__1) = A & r2_hidden(C,k2_finseq_1(A)) -> B = k3_finseq_1(k14_finseq_1(k4_xboole_0(k2_finseq_1(A),k1_tarski(C))))))))))) # label(t116_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4573 (all A all B all C (v2_funct_1(k11_finseq_1(A,B,C)) <-> B != C & C != A & A != B)) # label(t104_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4574 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B all C all D (k1_enumset1(B,C,D) = k2_relat_1(A) & v2_funct_1(A) -> B = C | D = C | np__3 = k3_finseq_1(A) | B = D)))) # label(t110_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4575 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> r1_tarski(k2_finseq_1(A),k2_finseq_1(k2_xcmplx_0(A,B))))))) # label(t19_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4576 (all A all B all C (r2_hidden(C,B) -> r2_hidden(A,B) | k1_finseq_3(k10_finseq_1(A,C),B) = k9_finseq_1(A))) # label(t87_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4577 (all A all B all C (k1_xboole_0 = k1_finseq_3(k10_finseq_1(A,B),C) <-> r2_hidden(A,C) & r2_hidden(B,C))) # label(t84_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4578 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B all C (v4_ordinal2(C) -> (r2_hidden(C,k4_finseq_1(A)) -> (all D (v1_finset_1(D) -> -(D = a_3_0_finseq_3(A,B,C) & -r2_hidden(k1_funct_1(A,C),B) & k1_funct_1(A,C) != k1_funct_1(k1_finseq_3(A,B),k6_xcmplx_0(C,k4_card_1(D))))))))))) # label(t92_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4579 (all A all B (v4_ordinal2(B) -> (k1_tarski(A) = k2_finseq_1(B) -> A = np__1 & np__1 = B))) # label(t22_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4580 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B k2_relat_1(k1_finseq_3(A,B)) = k4_xboole_0(k2_relat_1(A),B)))) # label(t72_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4581 (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) -> (v2_funct_1(B) & v2_funct_1(A) & r1_xboole_0(k2_relat_1(A),k2_relat_1(B)) <-> v2_funct_1(k7_finseq_1(A,B))))))) # label(t98_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4582 (all A all B all C (v4_ordinal2(C) -> (k2_finseq_1(C) = k2_tarski(A,B) -> A = B | k2_tarski(A,B) = k2_tarski(np__1,np__2) & C = np__2))) # label(t23_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4583 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v4_ordinal2(B) -> (A = k7_relat_1(A,k2_finseq_1(B)) <-> r1_xreal_0(k3_finseq_1(A),B)))))) # label(t55_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4584 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) -> (all B (k4_finseq_1(k1_finseq_3(A,B)) = k4_finseq_1(A) -> r1_xboole_0(B,k2_relat_1(A)))))) # label(t71_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4585 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B all C -(k2_tarski(B,C) = k2_relat_1(A) & B != C & k10_finseq_1(B,C) != A & A != k10_finseq_1(C,B) & v2_funct_1(A))))) # label(t108_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4586 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) & v4_ordinal2(A) -> v1_finseq_1(k2_finseq_3(A,B)) & v1_funct_1(k2_finseq_3(A,B)) & v1_relat_1(k2_finseq_3(A,B)))) # label(dt_k2_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4587 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (-r1_xreal_0(A,B) <-> r2_hidden(k6_xcmplx_0(A,B),k2_finseq_1(A))))))) # label(t14_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4588 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k1_nat_1(C,np__1) = k3_finseq_1(A) & r2_hidden(B,k4_finseq_1(A)) & r1_xreal_0(D,C) & r1_xreal_0(B,D) -> k1_funct_1(A,k1_nat_1(D,np__1)) = k1_funct_1(k2_finseq_3(B,A),D)))))))))) # label(t120_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4589 (all A all B all C all D (v1_funct_1(B) & v4_ordinal2(D) & v1_finseq_1(B) & v1_relat_1(B) -> (r2_hidden(A,a_3_0_finseq_3(B,C,D)) <-> (exists E (m2_subset_1(E,k1_numbers,k5_numbers) & E = A & r2_hidden(k1_funct_1(B,E),C) & r1_xreal_0(E,D) & r2_hidden(E,k4_finseq_1(B))))))) # label(fraenkel_a_3_0_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4590 $T # label(t37_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4591 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (r2_hidden(C,k4_finseq_1(A)) -> r2_hidden(C,k4_finseq_1(k7_finseq_1(A,B))))))))) # label(t24_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4592 (all A (v4_ordinal2(A) -> (all B all C (m2_finseq_1(C,B) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r1_xreal_0(D,A) -> k1_funct_1(k16_finseq_1(B,C,A),D) = k1_funct_1(C,D)))))))) # label(t121_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4593 (all A (v4_ordinal2(A) -> -r2_hidden(k2_xcmplx_0(A,np__1),k2_finseq_1(A)))) # label(t9_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4594 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> -(k10_finseq_1(A,B) != k14_finseq_1(k2_tarski(A,B)) & -r1_xreal_0(B,A) & -r1_xreal_0(A,np__0)))))) # label(t51_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4595 $T # label(t47_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4596 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> -(-v1_xboole_0(B) & (all C (m1_subset_1(C,A) -> (all D (m2_finseq_1(D,A) -> -(B = k8_finseq_1(A,k12_finseq_1(A,C),D) & C = k1_funct_1(B,np__1))))))))))) # label(t111_finseq_3) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4597 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> ((all C (m1_subset_1(C,k1_zfmisc_1(k9_zf_lang)) -> (r1_zfrefle1(B,C) <-> r1_zfrefle1(A,C)))) <-> r2_zfrefle1(A,B)))))) # label(t8_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4598 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> (r2_zfrefle1(A,B) -> r2_zfrefle1(B,A)))) # label(symmetry_r2_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4599 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k9_zf_lang)) -> (all C (m1_subset_1(C,k1_zfmisc_1(k9_zf_lang)) -> (r1_zfrefle1(A,B) & r1_zfrefle1(A,C) -> r1_zfrefle1(A,k4_subset_1(k9_zf_lang,B,C))))))))) # label(t3_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4600 (all A all B (v3_ordinal1(A) & v3_ordinal1(B) -> r4_zfrefle1(A,A))) # label(reflexivity_r4_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4601 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_ordinal2(B) & v5_ordinal1(B) -> (v3_ordinal2(B) & v2_ordinal2(B) -> v3_ordinal2(k1_ordinal3(A,B))))))) # label(t17_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4602 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> r2_zfrefle1(A,A))) # label(reflexivity_r2_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4603 (all A (v5_ordinal1(A) & v1_ordinal2(A) & v1_funct_1(A) & v1_relat_1(A) -> r1_tarski(k2_relat_1(A),k8_ordinal2(A)))) # label(t20_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4604 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_ordinal4(B,A) -> (all C (m2_ordinal4(C,A) -> -(r2_hidden(k5_ordinal2,A) & v2_ordinal2(C) & (all D (m1_ordinal4(D,A) -> -(D = k4_ordinal4(A,C,D) & r2_hidden(B,D)))) & v3_ordinal2(C)))))))) # label(t30_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4605 $T # label(t18_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4606 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r2_zfrefle1(A,B) & v1_ordinal1(B) & v1_zf_model(A) -> v1_zf_model(B)))))) # label(t10_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4607 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (v1_zf_refle(B,A) & m1_ordinal1(B,A) & v2_relat_1(B) -> -(r2_hidden(k5_ordinal2,A) & (all C (m2_ordinal4(C,A) -> -(v2_ordinal2(C) & (all D (m1_ordinal4(D,A) -> (D = k4_ordinal4(A,C,D) -> r2_zfrefle1(k5_zf_refle(A,B,D),k4_zf_refle(A,B)) | k1_xboole_0 = D))) & v3_ordinal2(C)))) & (all C (m1_ordinal4(C,A) -> (v4_ordinal1(C) -> k5_zf_refle(A,B,C) = k3_card_3(k2_ordinal1(B,C)) | k1_xboole_0 = C))) & (all C (m1_ordinal4(C,A) -> (all D (m1_ordinal4(D,A) -> (r2_hidden(C,D) -> r1_tarski(k5_zf_refle(A,B,C),k5_zf_refle(A,B,D)))))))))))) # label(t38_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4608 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_zfrefle1(A,B) <-> (exists C (v1_relat_1(C) & v1_funct_1(C) & v1_ordinal2(C) & r1_tarski(k2_relat_1(C),A) & k8_ordinal2(C) = A & v2_ordinal2(C) & B = k1_relat_1(C) & v5_ordinal1(C)))))))) # label(d5_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4609 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> r3_zfrefle1(A,A))) # label(reflexivity_r3_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4610 (all A (v1_classes2(A) & -v1_xboole_0(A) -> -((all B (m1_ordinal4(B,A) -> (all C (-v1_xboole_0(C) -> -(k4_classes1(B) = C & v1_zf_model(C) & r4_zfrefle1(B,k5_ordinal2)))))) & r2_hidden(k5_ordinal2,A)))) # label(t42_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4611 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_ordinal4(B,A) -> r2_hidden(k4_classes1(B),A))))) # label(t33_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4612 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,B,k1_funct_2(k2_ordinal2(A),k2_ordinal2(A))) & v1_funct_2(C,B,k1_funct_2(k2_ordinal2(A),k2_ordinal2(A))) -> -(r2_hidden(k1_card_1(B),k1_card_1(A)) & (all D (m2_ordinal4(D,A) -> -(v2_ordinal2(D) & (all E (m1_ordinal4(E,A) -> (v4_ordinal1(E) -> k8_ordinal2(k2_ordinal1(D,E)) = k4_ordinal4(A,D,E) | k2_ordinal4(A) = E))) & (all E (m1_ordinal4(E,A) -> k4_ordinal4(A,D,k6_ordinal4(A,E)) = k7_ordinal2(k2_xboole_0(k1_tarski(k4_ordinal4(A,D,E)),k9_relat_1(k4_funct_5(C),k2_zfmisc_1(B,k1_tarski(k6_ordinal4(A,E)))))))) & k4_ordinal4(A,D,k2_ordinal4(A)) = k2_ordinal4(A) & v3_ordinal2(D))))))))))) # label(t14_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4613 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_ordinal4(B,A) -> -r4_zfrefle1(k2_ordinal2(A),B))))) # label(t29_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4614 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> ((all C (v1_zf_lang(C) & m2_finseq_1(C,k5_numbers) -> (r2_zf_model(B,C) <-> r2_zf_model(A,C)))) <-> r2_zfrefle1(A,B)))))) # label(t7_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4615 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_ordinal4(B,A) -> -(r2_hidden(k5_ordinal2,A) & (all C (m1_ordinal4(C,A) -> (all D (-v1_xboole_0(D) -> -(r3_zfrefle1(D,A) & D = k4_classes1(C) & r2_hidden(B,C))))))))))) # label(t36_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4616 (all A (-v1_xboole_0(A) -> r1_zfrefle1(A,k1_subset_1(k9_zf_lang)))) # label(t1_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.64 4617 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> -(r4_zfrefle1(A,k1_ordinal1(B)) & (all C (v3_ordinal1(C) -> A != k1_ordinal1(C)))))))) # label(t26_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4618 (all A -(r2_hidden(A,f1_s1_zfrefle1) & (all B -p1_s1_zfrefle1(A,B)))) -> (exists A (f1_s1_zfrefle1 = k1_relat_1(A) & (all B (r2_hidden(B,f1_s1_zfrefle1) -> p1_s1_zfrefle1(B,k1_funct_1(A,B)))) & v1_funct_1(A) & v1_relat_1(A))) # label(s1_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4619 (all A (v3_ordinal1(A) -> r4_zfrefle1(k1_ordinal1(A),k4_ordinal2))) # label(t25_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4620 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k9_zf_lang)) -> (r1_zfrefle1(A,B) <-> (all C (m2_finseq_1(C,k5_numbers) & v1_zf_lang(C) -> (r2_hidden(C,B) -> r2_zf_model(A,C))))))))) # label(d1_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4621 (all A all B (r2_wellord2(A,B) | k1_card_1(A) = k1_card_1(B) -> k1_card_1(k1_zfmisc_1(B)) = k1_card_1(k1_zfmisc_1(A)) & r2_wellord2(k1_zfmisc_1(A),k1_zfmisc_1(B)))) # label(t13_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4622 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_ordinal1(B,A) & v1_zf_refle(B,A) & v2_relat_1(B) -> -(r2_hidden(k5_ordinal2,A) & (all C (m1_ordinal4(C,A) -> (all D (m1_ordinal4(D,A) -> (r2_hidden(C,D) -> r1_tarski(k5_zf_refle(A,B,C),k5_zf_refle(A,B,D))))))) & (all C (m1_ordinal4(C,A) -> (v4_ordinal1(C) -> k5_zf_refle(A,B,C) = k3_card_3(k2_ordinal1(B,C)) | C = k1_xboole_0))) & (all C (m2_ordinal4(C,A) -> -(v3_ordinal2(C) & (all D (m1_ordinal4(D,A) -> (D = k4_ordinal4(A,C,D) -> r3_zfrefle1(k5_zf_refle(A,B,D),k4_zf_refle(A,B)) | D = k1_xboole_0))) & v2_ordinal2(C))))))))) # label(t32_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4623 (all A all B (-v1_xboole_0(B) & v1_classes2(B) -> -(r2_hidden(k5_ordinal2,B) & r2_hidden(A,B) & (all C (-v1_xboole_0(C) -> -(v1_zf_model(C) & r2_hidden(C,B) & r2_hidden(A,C))))))) # label(t43_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4624 $T # label(t11_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4625 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_zfrefle1(A,B) -> (v4_ordinal1(A) <-> v4_ordinal1(B))))))) # label(t27_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4626 (all A (-v1_xboole_0(A) -> (v1_ordinal1(A) & r1_zfrefle1(A,k2_zfrefle1) -> v1_zf_model(A)))) # label(t5_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4627 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_ordinal4(B,A) -> (all C (m2_ordinal4(C,A) -> -(v2_ordinal2(C) & v3_ordinal2(C) & (all D (m1_ordinal4(D,A) -> -(r4_zfrefle1(D,k5_ordinal2) & k4_ordinal4(A,C,D) = D & r2_hidden(B,D)))) & r2_hidden(k5_ordinal2,A)))))))) # label(t31_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4628 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -((all B (m1_ordinal4(B,A) -> (all C (-v1_xboole_0(C) -> -(k4_classes1(B) = C & r2_zfrefle1(C,A) & r4_zfrefle1(B,k5_ordinal2)))))) & r2_hidden(k5_ordinal2,A)))) # label(t41_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4629 (all A (v1_zf_lang(A) & m2_finseq_1(A,k5_numbers) -> (exists B (v1_zf_lang(B) & k2_zf_model(B) = k1_xboole_0 & (all C (-v1_xboole_0(C) -> (r2_zf_model(C,A) <-> r2_zf_model(C,B)))) & m2_finseq_1(B,k5_numbers))))) # label(t6_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4630 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v1_ordinal2(B) & v5_ordinal1(B) & v1_funct_1(B) -> (v4_ordinal1(k1_relat_1(B)) & r1_ordinal2(A,B) & v2_ordinal2(B) -> r4_zfrefle1(A,k1_relat_1(B)) | k1_relat_1(B) = k1_xboole_0))))) # label(t24_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4631 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (-v1_xboole_0(B) & v1_classes2(B) -> (r2_hidden(k1_relat_1(A),B) & r1_tarski(k2_relat_1(A),B) -> r2_hidden(k2_relat_1(A),B)))))) # label(t12_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4632 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r3_zfrefle1(A,B) -> r2_zfrefle1(A,B)))))) # label(t9_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4633 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_zfrefle1(A,B) -> r1_tarski(B,A)))))) # label(t22_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4634 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v5_ordinal1(C) & v1_ordinal2(C) & v1_funct_1(C) & v1_relat_1(C) -> k2_ordinal1(k1_ordinal3(A,C),B) = k1_ordinal3(A,k2_ordinal1(C,B)))))))) # label(t16_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4635 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (all C (v3_ordinal1(C) -> (r4_zfrefle1(A,B) & r4_zfrefle1(B,C) -> r4_zfrefle1(A,C)))))))) # label(t21_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4636 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -((all B (m1_ordinal4(B,A) -> (all C (-v1_xboole_0(C) -> -(C = k4_classes1(B) & r3_zfrefle1(C,A) & r4_zfrefle1(B,k5_ordinal2)))))) & r2_hidden(k5_ordinal2,A)))) # label(t37_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4637 (all A (v3_ordinal1(A) -> (r4_zfrefle1(A,k1_xboole_0) -> A = k1_xboole_0))) # label(t28_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4638 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r2_zfrefle1(A,B) <-> (all C (m2_finseq_1(C,k5_numbers) & v1_zf_lang(C) -> (k1_xboole_0 = k2_zf_model(C) -> (r2_zf_model(B,C) <-> r2_zf_model(A,C)))))))))) # label(d2_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4639 (all A ((all B (-(k8_zf_model != B & (all C (v1_zf_lang(C) & m2_finseq_1(C,k5_numbers) -> -(r1_xboole_0(k1_enumset1(k2_zf_lang(np__0),k2_zf_lang(np__1),k2_zf_lang(np__2)),k2_zf_model(C)) & k11_zf_model(C) = B))) & B != k10_zf_model & B != k9_zf_model & k7_zf_model != B & B != k6_zf_model) & r2_hidden(B,k9_zf_lang) <-> r2_hidden(B,A))) <-> k1_zfrefle1 = A)) # label(d4_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4640 (all A (v3_ordinal1(A) -> (all B (v3_ordinal1(B) -> (r4_zfrefle1(A,B) & r4_zfrefle1(B,A) -> B = A))))) # label(t23_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4641 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k9_zf_lang)) -> (all C (m1_subset_1(C,k1_zfmisc_1(k9_zf_lang)) -> (r1_zfrefle1(A,C) & r1_tarski(B,C) -> r1_zfrefle1(A,B)))))))) # label(t2_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4642 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_ordinal4(B,A) -> -(r2_hidden(k5_ordinal2,A) & (all C (m1_ordinal4(C,A) -> (all D (-v1_xboole_0(D) -> -(k4_classes1(C) = D & r2_zfrefle1(D,A) & r2_hidden(B,C))))))))))) # label(t40_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4643 $T # label(dt_k1_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4644 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_ordinal4(B,A) -> (k1_xboole_0 != B -> m1_subset_1(k4_classes1(B),A) & -v1_xboole_0(k4_classes1(B))))))) # label(t34_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4645 (all A (v3_ordinal1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v5_ordinal1(B) & v1_ordinal2(B) -> (v2_ordinal2(B) -> v2_ordinal2(k1_ordinal3(A,B))))))) # label(t15_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4646 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -(r2_hidden(k5_ordinal2,A) & (all B (m2_ordinal4(B,A) -> -(v3_ordinal2(B) & (all C (m1_ordinal4(C,A) -> (all D (-v1_xboole_0(D) -> (k4_classes1(C) = D & C = k4_ordinal4(A,B,C) -> C = k1_xboole_0 | r2_zfrefle1(D,A)))))) & v2_ordinal2(B))))))) # label(t39_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4647 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -((all B (m2_ordinal4(B,A) -> -(v2_ordinal2(B) & (all C (m1_ordinal4(C,A) -> (all D (-v1_xboole_0(D) -> (D = k4_classes1(C) & C = k4_ordinal4(A,B,C) -> k1_xboole_0 = C | r3_zfrefle1(D,A)))))) & v3_ordinal2(B)))) & r2_hidden(k5_ordinal2,A)))) # label(t35_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4648 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> ((all C (v1_zf_lang(C) & m2_finseq_1(C,k5_numbers) -> (all D (v1_funct_1(D) & v1_funct_2(D,k1_zf_lang,A) & m2_relset_1(D,k1_zf_lang,A) -> (r1_zf_model(A,D,C) <-> r1_zf_model(B,k2_zf_lang1(k1_zf_lang,A,B,D),C)))))) & r1_tarski(A,B) <-> r3_zfrefle1(A,B)))))) # label(d3_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4649 (all A (-v1_xboole_0(A) -> (v1_zf_model(A) -> r1_zfrefle1(A,k2_zfrefle1)))) # label(t4_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4650 (all A all B (v5_ordinal1(B) & v1_ordinal2(B) & v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(A,k2_relat_1(B)) -> v3_ordinal1(A)))) # label(t19_zfrefle1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4651 $T # label(t5_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4652 $T # label(t7_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4653 (all A (m1_subset_1(A,k5_numbers) -> -v1_xboole_0(k7_qc_lang1(A)))) # label(fc6_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4654 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang1(A) -> np__0 != k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) & k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) != np__3 & np__2 != k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) & k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) != np__1))) # label(t50_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4655 (all A (m1_subset_1(A,k8_qc_lang1) -> -(r1_xreal_0(k3_finseq_1(k10_qc_lang1(A)),k3_finseq_1(k10_qc_lang1(k17_qc_lang1(A)))) & v3_qc_lang1(A)))) # label(t45_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4656 (all A (m1_subset_1(A,k8_qc_lang1) -> np__0 = k1_mcart_1(k1_funct_1(k10_qc_lang1(k11_qc_lang1),np__1)) & (v3_qc_lang1(A) -> np__1 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1))) & (v5_qc_lang1(A) -> np__3 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1))) & (v4_qc_lang1(A) -> np__2 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1))) & -(v2_qc_lang1(A) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -m2_subset_1(k1_funct_1(k10_qc_lang1(A),np__1),k5_qc_lang1,k7_qc_lang1(B))))))) # label(t49_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4657 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k24_qc_lang1(A),k1_zfmisc_1(k2_qc_lang1)))) # label(dt_k24_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4658 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang1(A) -> (all B (m2_finseq_1(B,k1_qc_lang1) -> ((exists C (m2_subset_1(C,k1_numbers,k5_numbers) & (exists D (m2_subset_1(D,k5_qc_lang1,k7_qc_lang1(C)) & (exists E (k9_qc_lang1(D,E) = A & E = B & m1_qc_lang1(E,C))))))) <-> k16_qc_lang1(A) = B)))))) # label(d22_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4659 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (k20_qc_lang1(A) = B <-> (exists C (A = k14_qc_lang1(B,C) & m1_subset_1(C,k8_qc_lang1))))))))) # label(d26_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4660 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> -r1_xreal_0(k3_finseq_1(k10_qc_lang1(A)),k3_finseq_1(k10_qc_lang1(k18_qc_lang1(A)))) & -r1_xreal_0(k3_finseq_1(k10_qc_lang1(A)),k3_finseq_1(k10_qc_lang1(k19_qc_lang1(A))))))) # label(t46_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4661 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) <-> (exists B (m1_subset_1(B,k8_qc_lang1) & (exists C (m1_subset_1(C,k8_qc_lang1) & k13_qc_lang1(B,C) = A))))))) # label(d19_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4662 (all A (m1_subset_1(A,k5_qc_lang1) -> (all B (m2_finseq_1(B,k1_qc_lang1) -> (k6_qc_lang1(A) = k3_finseq_1(B) -> k7_finseq_1(k12_finseq_1(k5_qc_lang1,A),B) = k9_qc_lang1(A,B)))))) # label(d11_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4663 $T # label(t42_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4664 $T # label(t11_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4665 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> ((exists C (m1_subset_1(C,k5_qc_lang1) & C = A & B = k6_qc_lang1(C))) <-> r2_hidden(A,a_1_0_qc_lang1(B))))) # label(fraenkel_a_1_0_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4666 (exists A (m2_relset_1(A,k8_qc_lang1,f1_s3_qc_lang1) & k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k11_qc_lang1) = f2_s3_qc_lang1 & (all B (m1_subset_1(B,k8_qc_lang1) -> (v4_qc_lang1(B) -> f5_s3_qc_lang1(k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k18_qc_lang1(B)),k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k19_qc_lang1(B))) = k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,B)) & (v5_qc_lang1(B) -> f6_s3_qc_lang1(B,k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k21_qc_lang1(B))) = k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,B)) & (v3_qc_lang1(B) -> k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,B) = f4_s3_qc_lang1(k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,k17_qc_lang1(B)))) & (v2_qc_lang1(B) -> k8_funct_2(k8_qc_lang1,f1_s3_qc_lang1,A,B) = f3_s3_qc_lang1(B)))) & v1_funct_2(A,k8_qc_lang1,f1_s3_qc_lang1) & v1_funct_1(A))) # label(s3_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4667 (all A (m1_subset_1(A,k8_qc_lang1) -> -(-v2_qc_lang1(A) & -v3_qc_lang1(A) & -v5_qc_lang1(A) & -v4_qc_lang1(A) & A != k11_qc_lang1))) # label(t33_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4668 $T # label(t20_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4669 (all A (-v1_xboole_0(A) -> (all B all C (m1_subset_1(C,A) -> r1_tarski(k2_zfmisc_1(k1_tarski(C),B),k2_zfmisc_1(A,B)))))) # label(t1_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4670 (all A (m1_subset_1(A,k5_qc_lang1) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (k6_qc_lang1(A) = B <-> k1_nat_1(np__7,B) = k1_mcart_1(A)))))) # label(d6_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4671 $T # label(t26_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4672 $T # label(t38_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4673 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> k6_qc_lang1(B) = A)))) # label(t35_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4674 (all A (m1_subset_1(A,k2_qc_lang1) -> m1_subset_1(k23_qc_lang1(A),k1_zfmisc_1(k2_qc_lang1)))) # label(dt_k23_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4675 (all A (m1_subset_1(A,k8_qc_lang1) -> k12_qc_lang1(A) = k7_finseq_1(k9_finseq_1(k4_tarski(np__1,np__0)),k10_qc_lang1(A)))) # label(d14_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4676 $T # label(t16_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4677 $T # label(t24_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4678 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k13_qc_lang1(A,B) = k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(np__2,np__0)),k10_qc_lang1(A)),k10_qc_lang1(B)))))) # label(d15_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4679 (all A (m1_subset_1(A,k8_qc_lang1) -> (v6_qc_lang1(A) <-> k24_qc_lang1(A) = k1_xboole_0))) # label(d30_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4680 $T # label(t32_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4681 $T # label(t40_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4682 $T # label(t14_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4683 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> a_1_0_qc_lang1(A) = k7_qc_lang1(A))) # label(d7_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4684 (all A (m1_subset_1(A,k2_qc_lang1) -> k1_tarski(A) = k23_qc_lang1(A))) # label(redefinition_k23_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4685 $T # label(t41_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4686 $T # label(t28_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4687 $T # label(t3_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4688 $T # label(t17_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4689 $T # label(dt_k1_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4690 $T # label(t27_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4691 (all A all B (m2_finseq_1(B,k1_qc_lang1) -> ((exists C (m2_subset_1(C,k1_numbers,k5_numbers) & r1_xreal_0(C,k3_finseq_1(B)) & r2_hidden(k1_funct_1(B,C),k2_qc_lang1) & r1_xreal_0(np__1,C) & A = k1_funct_1(B,C))) <-> r2_hidden(A,a_1_1_qc_lang1(B))))) # label(fraenkel_a_1_1_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4692 $T # label(t30_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4693 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k15_qc_lang1(A),k5_qc_lang1))) # label(dt_k15_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4694 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(np__3,np__0)),k12_finseq_1(k2_qc_lang1,A)),k10_qc_lang1(B)) = k14_qc_lang1(A,B))))) # label(d16_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4695 (all A (m1_subset_1(A,k5_numbers) -> (all B (m1_qc_lang1(B,A) -> m2_finseq_1(B,k1_qc_lang1))))) # label(dt_m1_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4696 (all A (m1_subset_1(A,k8_qc_lang1) -> m2_subset_1(k20_qc_lang1(A),k1_qc_lang1,k2_qc_lang1))) # label(dt_k20_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4697 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang1(A) -> (all B (m1_subset_1(B,k5_qc_lang1) -> ((exists C (m2_subset_1(C,k1_numbers,k5_numbers) & (exists D ((exists E (k9_qc_lang1(E,D) = A & B = E & m2_subset_1(E,k5_qc_lang1,k7_qc_lang1(C)))) & m1_qc_lang1(D,C))))) <-> k15_qc_lang1(A) = B)))))) # label(d21_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4698 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_finseq_1(B,k1_qc_lang1) -> (m1_qc_lang1(B,A) <-> k3_finseq_1(B) = A))))) # label(d8_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4699 $T # label(t19_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4700 (all A all B (m1_subset_1(B,k8_qc_lang1) & m1_subset_1(A,k2_qc_lang1) -> m1_subset_1(k14_qc_lang1(A,B),k8_qc_lang1))) # label(dt_k14_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4701 $T # label(t43_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4702 (all A (m2_finseq_1(A,k1_qc_lang1) -> a_1_1_qc_lang1(A) = k22_qc_lang1(A))) # label(d28_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4703 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k21_qc_lang1(A),k8_qc_lang1))) # label(dt_k21_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4704 (all A (m1_subset_1(A,k8_qc_lang1) -> r1_xreal_0(np__1,k3_finseq_1(k10_qc_lang1(A))))) # label(t34_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4705 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> np__0 != k1_mcart_1(B) & k1_mcart_1(B) != np__3 & k1_mcart_1(B) != np__2 & np__1 != k1_mcart_1(B))))) # label(t48_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4706 $T # label(t44_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4707 (all A ((exists B exists C (m2_subset_1(C,k1_numbers,k5_numbers) & k4_tarski(B,C) = A & r1_xreal_0(np__7,B) & m2_subset_1(B,k1_numbers,k5_numbers))) <-> r2_hidden(A,a_0_0_qc_lang1))) # label(fraenkel_a_0_0_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4708 $T # label(t12_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4709 (all A (-v1_xboole_0(A) -> (all B all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> r1_tarski(k2_zfmisc_1(k1_enumset1(C,D,E),B),k2_zfmisc_1(A,B)))))))))) # label(t2_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4710 $T # label(t18_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4711 $T # label(t15_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4712 (all A (m1_subset_1(A,k8_qc_lang1) -> -(v2_qc_lang1(A) & v3_qc_lang1(A)) & -(v4_qc_lang1(A) & v2_qc_lang1(A)) & -(v2_qc_lang1(A) & v5_qc_lang1(A)) & -(v3_qc_lang1(A) & v4_qc_lang1(A)) & -(v5_qc_lang1(A) & v4_qc_lang1(A)) & -(v5_qc_lang1(A) & v3_qc_lang1(A)))) # label(t51_qc_lang1_AndRHS_AndRHS_AndRHS_AndLHS) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4713 (all A (-v1_xboole_0(A) -> (v1_qc_lang1(A) & (all B (-v1_xboole_0(B) -> (v1_qc_lang1(B) -> r1_tarski(A,B)))) <-> k8_qc_lang1 = A))) # label(d10_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4714 (all A (m1_subset_1(A,k8_qc_lang1) -> (np__2 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) -> v4_qc_lang1(A)) & (k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) = np__3 -> v5_qc_lang1(A)) & ((exists B (m2_subset_1(B,k1_numbers,k5_numbers) & m2_subset_1(k1_funct_1(k10_qc_lang1(A),np__1),k5_qc_lang1,k7_qc_lang1(B)))) -> v2_qc_lang1(A)) & (k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) = np__1 -> v3_qc_lang1(A)) & (np__0 = k1_mcart_1(k1_funct_1(k10_qc_lang1(A),np__1)) -> A = k11_qc_lang1))) # label(t36_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4715 (all A all B (m1_subset_1(B,k8_qc_lang1) -> (r2_hidden(A,a_1_2_qc_lang1(B)) <-> (exists C (k1_funct_1(k16_qc_lang1(B),C) = A & r1_xreal_0(np__1,C) & r1_xreal_0(C,k3_finseq_1(k16_qc_lang1(B))) & r2_hidden(k1_funct_1(k16_qc_lang1(B),C),k2_qc_lang1) & m2_subset_1(C,k1_numbers,k5_numbers)))))) # label(fraenkel_a_1_2_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4716 $T # label(t29_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4717 (all A (m1_subset_1(A,k8_qc_lang1) -> -(r1_xreal_0(k3_finseq_1(k10_qc_lang1(A)),k3_finseq_1(k10_qc_lang1(k21_qc_lang1(A)))) & v5_qc_lang1(A)))) # label(t47_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4718 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (B = k18_qc_lang1(A) <-> (exists C (A = k13_qc_lang1(B,C) & m1_subset_1(C,k8_qc_lang1))))))))) # label(d24_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4719 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (k21_qc_lang1(A) = B <-> (exists C (k14_qc_lang1(C,B) = A & m2_subset_1(C,k1_qc_lang1,k2_qc_lang1))))))))) # label(d27_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4720 (all A (m1_subset_1(A,k8_qc_lang1) -> ((exists B (m2_subset_1(B,k1_numbers,k5_numbers) & (exists C ((exists D (m1_qc_lang1(D,B) & k9_qc_lang1(C,D) = A)) & m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(B)))))) <-> v2_qc_lang1(A)))) # label(d17_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4721 $T # label(t39_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4722 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k1_zfmisc_1(k2_qc_lang1)) -> (k24_qc_lang1(A) = B <-> (exists C (v1_funct_2(C,k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1)) & m2_relset_1(C,k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1)) & k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,A) = B & (all D (m1_subset_1(D,k8_qc_lang1) -> (v2_qc_lang1(D) -> a_1_2_qc_lang1(D) = k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,D)) & (v5_qc_lang1(D) -> k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,D) = k6_subset_1(k2_qc_lang1,k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,k21_qc_lang1(D)),k23_qc_lang1(k20_qc_lang1(D)))) & (v4_qc_lang1(D) -> k4_subset_1(k2_qc_lang1,k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,k18_qc_lang1(D)),k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,k19_qc_lang1(D))) = k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,D)) & (v3_qc_lang1(D) -> k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,D) = k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,k17_qc_lang1(D))) & k1_xboole_0 = k8_funct_2(k8_qc_lang1,k1_zfmisc_1(k2_qc_lang1),C,k11_qc_lang1))) & v1_funct_1(C)))))))) # label(d29_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4723 $T # label(t6_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4724 (all A all B (m1_subset_1(A,k5_qc_lang1) & m1_finseq_1(B,k1_qc_lang1) -> m1_subset_1(k9_qc_lang1(A,B),k8_qc_lang1))) # label(dt_k9_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4725 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k12_qc_lang1(A),k8_qc_lang1))) # label(dt_k12_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.65 4726 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) <-> (exists B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) & (exists C (m1_subset_1(C,k8_qc_lang1) & A = k14_qc_lang1(B,C)))))))) # label(d20_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4727 $T # label(t25_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4728 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> (all B (m1_subset_1(B,k8_qc_lang1) -> ((exists C (k13_qc_lang1(C,B) = A & m1_subset_1(C,k8_qc_lang1))) <-> k19_qc_lang1(A) = B)))))) # label(d25_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4729 (all A (m1_finseq_1(A,k1_qc_lang1) -> m1_subset_1(k22_qc_lang1(A),k1_zfmisc_1(k2_qc_lang1)))) # label(dt_k22_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4730 $T # label(t31_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4731 (all A (m1_subset_1(A,k8_qc_lang1) -> m2_finseq_1(k10_qc_lang1(A),k12_mcart_1(k1_numbers,k1_numbers,k5_numbers,k5_numbers)))) # label(dt_k10_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4732 $T # label(t8_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4733 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k17_qc_lang1(A),k8_qc_lang1))) # label(dt_k17_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4734 (all A (m1_subset_1(A,k5_numbers) -> m1_subset_1(k7_qc_lang1(A),k1_zfmisc_1(k5_qc_lang1)))) # label(dt_k7_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4735 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k18_qc_lang1(A),k8_qc_lang1))) # label(dt_k18_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4736 (all A (m1_subset_1(A,k5_qc_lang1) -> m2_subset_1(k6_qc_lang1(A),k1_numbers,k5_numbers))) # label(dt_k6_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4737 (all A (m1_subset_1(A,k5_numbers) -> (exists B m1_qc_lang1(B,A)))) # label(existence_m1_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4738 $T # label(t13_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4739 $T # label(t9_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4740 (all A (m1_subset_1(A,k8_qc_lang1) -> ((exists B (m1_subset_1(B,k8_qc_lang1) & k12_qc_lang1(B) = A)) <-> v3_qc_lang1(A)))) # label(d18_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4741 $T # label(t22_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4742 (all A (m1_subset_1(A,k8_qc_lang1) -> (p1_s1_qc_lang1(A) -> p1_s1_qc_lang1(k12_qc_lang1(A))))) & (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (p1_s1_qc_lang1(A) & p1_s1_qc_lang1(B) -> p1_s1_qc_lang1(k13_qc_lang1(A,B))))))) & (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (p1_s1_qc_lang1(B) -> p1_s1_qc_lang1(k14_qc_lang1(A,B))))))) & p1_s1_qc_lang1(k11_qc_lang1) & (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> (all C (m1_qc_lang1(C,A) -> p1_s1_qc_lang1(k9_qc_lang1(B,C)))))))) -> (all A (m1_subset_1(A,k8_qc_lang1) -> p1_s1_qc_lang1(A))) # label(s1_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4743 (all A (m1_subset_1(A,k8_qc_lang1) -> m2_finseq_1(k16_qc_lang1(A),k1_qc_lang1))) # label(dt_k16_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4744 $T # label(dt_k5_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4745 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) -> (k7_finseq_1(k10_qc_lang1(B),C) = k10_qc_lang1(A) -> k10_qc_lang1(B) = k10_qc_lang1(A)))))))) # label(t37_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4746 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k19_qc_lang1(A),k8_qc_lang1))) # label(dt_k19_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4747 (all A all B (m1_subset_1(B,k8_qc_lang1) & m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k13_qc_lang1(A,B),k8_qc_lang1))) # label(dt_k13_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.66 4748 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang1(A) -> p1_s2_qc_lang1(A)) & p1_s2_qc_lang1(k11_qc_lang1) & (p1_s2_qc_lang1(k17_qc_lang1(A)) & v3_qc_lang1(A) -> p1_s2_qc_lang1(A)) & (v4_qc_lang1(A) & p1_s2_qc_lang1(k18_qc_lang1(A)) & p1_s2_qc_lang1(k19_qc_lang1(A)) -> p1_s2_qc_lang1(A)) & (v5_qc_lang1(A) & p1_s2_qc_lang1(k21_qc_lang1(A)) -> p1_s2_qc_lang1(A)))) -> (all A (m1_subset_1(A,k8_qc_lang1) -> p1_s2_qc_lang1(A))) # label(s2_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4749 (all A (m1_subset_1(A,k8_qc_lang1) -> A = k10_qc_lang1(A))) # label(d12_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4750 (all A ((all B (m2_finseq_1(B,k12_mcart_1(k1_numbers,k1_numbers,k5_numbers,k5_numbers)) -> (all C (m2_finseq_1(C,k12_mcart_1(k1_numbers,k1_numbers,k5_numbers,k5_numbers)) -> (r2_hidden(B,A) & r2_hidden(C,A) -> r2_hidden(k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(np__2,np__0)),B),C),A)))))) & (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_finseq_1(C,k12_mcart_1(k1_numbers,k1_numbers,k5_numbers,k5_numbers)) -> (r2_hidden(C,A) -> r2_hidden(k7_finseq_1(k7_finseq_1(k9_finseq_1(k4_tarski(np__3,np__0)),k12_finseq_1(k2_qc_lang1,B)),C),A)))))) & (all B (m2_finseq_1(B,k12_mcart_1(k1_numbers,k1_numbers,k5_numbers,k5_numbers)) -> (r2_hidden(B,A) -> r2_hidden(k7_finseq_1(k9_finseq_1(k4_tarski(np__1,np__0)),B),A)))) & r2_hidden(k9_finseq_1(k4_tarski(np__0,np__0)),A) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(B)) -> (all D (m1_qc_lang1(D,B) -> r2_hidden(k7_finseq_1(k12_finseq_1(k7_qc_lang1(B),C),D),A))))))) & m1_subset_1(A,k1_zfmisc_1(k13_finseq_1(k12_mcart_1(k1_numbers,k1_numbers,k5_numbers,k5_numbers)))) <-> v1_qc_lang1(A))) # label(d9_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4751 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang1(A) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (k17_qc_lang1(A) = B <-> A = k12_qc_lang1(B))))))) # label(d23_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4752 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> (all C (m1_qc_lang1(C,A) -> k9_qc_lang1(B,C) = k7_finseq_1(k12_finseq_1(k7_qc_lang1(A),B),C))))))) # label(t23_qc_lang1) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4753 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v5_qc_lang1(A) -> (r1_qc_lang2(B,A) <-> k21_qc_lang1(A) = B)))))) # label(t67_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4754 (all A (m1_subset_1(A,k8_qc_lang1) -> (v1_qc_lang2(A) -> A = k3_qc_lang2(k10_qc_lang2(A),k11_qc_lang2(A))))) # label(t53_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4755 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang2(A) -> v4_qc_lang1(k17_qc_lang1(A)) & v3_qc_lang1(k19_qc_lang1(k17_qc_lang1(A))) & v3_qc_lang1(A)))) # label(t50_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4756 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m2_subset_1(D,k1_qc_lang1,k2_qc_lang1) -> (all E (m2_subset_1(E,k1_qc_lang1,k2_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (k6_qc_lang2(C,E,A) = k6_qc_lang2(D,F,B) -> D = C & E = F & A = B))))))))))))) # label(t21_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4757 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> k6_qc_lang2(A,B,C) = k14_qc_lang1(A,k14_qc_lang1(B,C)) & k7_qc_lang2(A,B,C) = k5_qc_lang2(A,k5_qc_lang2(B,C)))))))) # label(t20_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4758 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> k14_qc_lang1(B,C) = k21_qc_lang1(k6_qc_lang2(A,B,C)) & A = k20_qc_lang1(k6_qc_lang2(A,B,C)) & v5_qc_lang1(k6_qc_lang2(A,B,C)))))))) # label(t25_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4759 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (r1_qc_lang2(A,k13_qc_lang1(B,C)) <-> C = A | B = A))))))) # label(t62_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4760 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_hidden(A,k15_qc_lang2(B)) -> r2_qc_lang2(A,B)))))) # label(t103_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4761 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r1_qc_lang2(A,B) <-> -(B != k12_qc_lang1(A) & (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> B != k14_qc_lang1(C,A))) & (all C (m1_subset_1(C,k8_qc_lang1) -> k13_qc_lang1(A,C) != B & B != k13_qc_lang1(C,A))))))))) # label(d20_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4762 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> k14_qc_lang1(A,k14_qc_lang1(B,C)) = k6_qc_lang2(A,B,C))))))) # label(d6_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4763 (all A all B (m1_subset_1(A,k8_qc_lang1) & m1_subset_1(B,k8_qc_lang1) -> r2_qc_lang2(A,A))) # label(reflexivity_r2_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4764 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang2(A) -> A = k5_qc_lang2(k20_qc_lang1(k17_qc_lang1(A)),k17_qc_lang1(k21_qc_lang1(k17_qc_lang1(A))))))) # label(t56_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4765 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> k5_qc_lang2(A,k5_qc_lang2(B,C)) = k7_qc_lang2(A,B,C))))))) # label(d7_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4766 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k17_qc_lang1(k3_qc_lang2(A,B)) = k13_qc_lang1(k12_qc_lang1(A),k12_qc_lang1(B)) & k11_qc_lang2(k3_qc_lang2(A,B)) = B & A = k10_qc_lang2(k3_qc_lang2(A,B)))))) # label(t45_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4767 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_qc_lang2(A,B) <-> (exists C ((exists D (v1_relat_1(D) & v1_funct_1(D) & v1_finseq_1(D) & r1_xreal_0(np__1,C) & k3_finseq_1(D) = C & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> -(-r1_xreal_0(C,E) & (all F (m1_subset_1(F,k8_qc_lang1) -> (all G (m1_subset_1(G,k8_qc_lang1) -> -(G = k1_funct_1(D,k1_nat_1(E,np__1)) & r1_qc_lang2(F,G) & F = k1_funct_1(D,E)))))) & r1_xreal_0(np__1,E)))) & B = k1_funct_1(D,C) & A = k1_funct_1(D,np__1))) & m2_subset_1(C,k1_numbers,k5_numbers)))))))) # label(d21_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4768 $T # label(t57_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4769 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang2(A) <-> (exists B ((exists C (m1_subset_1(C,k8_qc_lang1) & A = k5_qc_lang2(B,C))) & m2_subset_1(B,k1_qc_lang1,k2_qc_lang1)))))) # label(d13_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4770 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang2(A) -> A = k4_qc_lang2(k13_qc_lang2(A),k14_qc_lang2(A))))) # label(t55_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4771 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r3_qc_lang2(A,B) <-> B != A & r2_qc_lang2(A,B)))))) # label(d22_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4772 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> A = k13_qc_lang1(k18_qc_lang1(A),k19_qc_lang1(A))))) # label(t4_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4773 $T # label(t43_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4774 $T # label(t70_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4775 (all A (m1_subset_1(A,k8_qc_lang1) -> -r3_qc_lang2(A,k11_qc_lang1))) # label(t84_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4776 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang2(A) -> v2_qc_lang2(k18_qc_lang1(A)) & v2_qc_lang2(k19_qc_lang1(A)) & v4_qc_lang1(A)))) # label(t51_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4777 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k12_qc_lang2(k2_qc_lang2(A,B)) = A & k13_qc_lang1(A,k12_qc_lang1(B)) = k17_qc_lang1(k2_qc_lang2(A,B)) & B = k11_qc_lang2(k2_qc_lang2(A,B)))))) # label(t46_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4778 (all A (m1_subset_1(A,k8_qc_lang1) -> k12_qc_lang2(A) = k18_qc_lang1(k17_qc_lang1(A)))) # label(d16_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4779 (all A all B all C all D (m1_subset_1(B,k2_qc_lang1) & m1_subset_1(C,k2_qc_lang1) & m1_subset_1(D,k8_qc_lang1) & m1_subset_1(A,k2_qc_lang1) -> m1_subset_1(k9_qc_lang2(A,B,C,D),k8_qc_lang1))) # label(dt_k9_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4780 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k20_qc_lang1(k14_qc_lang1(A,B)) = A & B = k21_qc_lang1(k14_qc_lang1(A,B)))))) # label(t8_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4781 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k10_qc_lang2(A),k8_qc_lang1))) # label(dt_k10_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4782 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k15_qc_lang2(k2_qc_lang2(A,B)) = k2_xboole_0(k2_xboole_0(k15_qc_lang2(A),k15_qc_lang2(B)),k1_enumset1(k12_qc_lang1(B),k13_qc_lang1(A,k12_qc_lang1(B)),k2_qc_lang2(A,B))))))) # label(t113_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4783 (all A (m1_subset_1(A,k8_qc_lang1) -> -r1_qc_lang2(A,k11_qc_lang1))) # label(t58_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4784 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v4_qc_lang1(A) -> (r1_qc_lang2(B,A) <-> k18_qc_lang1(A) = B | k19_qc_lang1(A) = B)))))) # label(t66_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4785 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (r2_qc_lang2(k14_qc_lang1(C,A),B) -> r3_qc_lang2(A,B)))))))) # label(t92_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4786 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> r3_qc_lang2(A,k2_qc_lang2(A,B)) & r3_qc_lang2(k12_qc_lang1(B),k2_qc_lang2(A,B)) & r3_qc_lang2(B,k2_qc_lang2(A,B)) & r3_qc_lang2(k13_qc_lang1(A,k12_qc_lang1(B)),k2_qc_lang2(A,B)))))) # label(t93_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4787 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (all E (m1_subset_1(E,k8_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_qc_lang1,k2_qc_lang1) -> (k9_qc_lang2(A,B,C,D) = k7_qc_lang2(F,G,E) -> F = A & B = G & k5_qc_lang2(C,D) = E))))))))))))))) # label(t32_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4788 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k14_qc_lang1(A,k12_qc_lang1(B)) = k17_qc_lang1(k5_qc_lang2(A,B)))))) # label(t48_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4789 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang1(A) -> r3_qc_lang2(k17_qc_lang1(A),A)))) # label(t96_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4790 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (r2_qc_lang2(B,C) & r2_qc_lang2(A,B) -> r2_qc_lang2(A,C)))))))) # label(t77_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4791 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (r3_qc_lang2(A,B) & r3_qc_lang2(B,C) -> r3_qc_lang2(A,C)))))))) # label(t76_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4792 $T # label(t41_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4793 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (B = A <-> r1_qc_lang2(A,k12_qc_lang1(B))))))) # label(t60_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4794 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (k14_qc_lang1(B,D) = k14_qc_lang1(A,C) -> B = A & C = D))))))))) # label(t6_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4795 $T # label(dt_k15_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4796 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> (all C (m1_qc_lang1(C,A) -> k15_qc_lang2(k9_qc_lang1(B,C)) = k1_tarski(k9_qc_lang1(B,C)))))))) # label(t108_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4797 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m2_subset_1(D,k1_qc_lang1,k2_qc_lang1) -> (all E (m2_subset_1(E,k1_qc_lang1,k2_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_qc_lang1,k2_qc_lang1) -> (all H (m2_subset_1(H,k1_qc_lang1,k2_qc_lang1) -> (k9_qc_lang2(D,F,H,B) = k9_qc_lang2(C,E,G,A) -> D = C & A = B & G = H & F = E))))))))))))))))) # label(t30_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4798 $T # label(t44_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4799 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> k9_qc_lang2(A,B,C,D) = k5_qc_lang2(A,k7_qc_lang2(B,C,D)) & k14_qc_lang1(A,k6_qc_lang2(B,C,D)) = k8_qc_lang2(A,B,C,D))))))))) # label(t26_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4800 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (all E (m1_subset_1(E,k8_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_qc_lang1,k2_qc_lang1) -> (k6_qc_lang2(F,G,E) = k8_qc_lang2(A,B,C,D) -> F = A & G = B & E = k14_qc_lang1(C,D)))))))))))))))) # label(t29_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4801 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r1_qc_lang2(A,B) -> r3_qc_lang2(A,B)))))) # label(t73_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4802 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (r2_qc_lang2(k13_qc_lang1(A,B),C) -> r3_qc_lang2(A,C) & r3_qc_lang2(B,C)))))))) # label(t90_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4803 $T # label(t102_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4804 $T # label(t40_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4805 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(v2_qc_lang1(A) & r1_qc_lang2(B,A)))))) # label(t64_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4806 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (-(-(r3_qc_lang2(A,B) & r2_qc_lang2(B,C)) & -(r2_qc_lang2(A,B) & r3_qc_lang2(B,C)) & -(r2_qc_lang2(A,B) & r1_qc_lang2(B,C)) & -(r3_qc_lang2(A,B) & r1_qc_lang2(B,C)) & -(r3_qc_lang2(B,C) & r1_qc_lang2(A,B)) & -(r2_qc_lang2(B,C) & r1_qc_lang2(A,B))) -> r3_qc_lang2(A,C)))))))) # label(t83_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4807 (all A all B (m1_subset_1(B,k8_qc_lang1) & m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k2_qc_lang2(A,B),k8_qc_lang1))) # label(dt_k2_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4808 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k13_qc_lang2(A),k8_qc_lang1))) # label(dt_k13_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4809 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (k2_qc_lang2(A,B) = k2_qc_lang2(C,D) -> D = B & C = A))))))))) # label(t17_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4810 (all A (m1_subset_1(A,k8_qc_lang1) -> (A = k1_qc_lang2 | k11_qc_lang1 = A <-> r2_qc_lang2(A,k1_qc_lang2)))) # label(t101_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4811 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k14_qc_lang2(A),k8_qc_lang1))) # label(dt_k14_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4812 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (all E (m1_subset_1(E,k8_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (k8_qc_lang2(A,B,C,D) = k14_qc_lang1(F,E) -> k6_qc_lang2(B,C,D) = E & F = A))))))))))))) # label(t28_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4813 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k19_qc_lang1(k13_qc_lang1(A,B)) = B & k18_qc_lang1(k13_qc_lang1(A,B)) = A)))) # label(t5_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4814 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(B)) -> (all D (m1_qc_lang1(D,B) -> -r3_qc_lang2(A,k9_qc_lang1(C,D)))))))))) # label(t85_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4815 $T # label(t68_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4816 (all A (m1_subset_1(A,k8_qc_lang1) -> (v1_qc_lang2(A) -> v3_qc_lang1(A) & v4_qc_lang1(k17_qc_lang1(A)) & v3_qc_lang1(k18_qc_lang1(k17_qc_lang1(A))) & v3_qc_lang1(k19_qc_lang1(k17_qc_lang1(A))) & v2_qc_lang2(A)))) # label(t49_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4817 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_hidden(A,k15_qc_lang2(B)) -> r1_tarski(k15_qc_lang2(A),k15_qc_lang2(B))))))) # label(t105_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4818 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang2(A) <-> (exists B (m1_subset_1(B,k8_qc_lang1) & (exists C (k4_qc_lang2(B,C) = A & m1_subset_1(C,k8_qc_lang1)))))))) # label(d12_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4819 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r1_qc_lang2(B,A) & r2_qc_lang2(A,B)))))) # label(t81_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4820 (all A (m1_subset_1(A,k8_qc_lang1) -> (A = k11_qc_lang1 <-> r1_qc_lang2(A,k1_qc_lang2)))) # label(t61_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4821 (all A (m1_subset_1(A,k8_qc_lang1) -> (r2_qc_lang2(A,k11_qc_lang1) <-> r3_qc_lang2(A,k1_qc_lang2)))) # label(t88_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4822 (all A all B (m1_subset_1(B,k8_qc_lang1) & m1_subset_1(A,k8_qc_lang1) -> -r3_qc_lang2(A,A))) # label(irreflexivity_r3_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4823 $T # label(t11_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4824 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r1_qc_lang2(B,A) & r3_qc_lang2(A,B)))))) # label(t82_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4825 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (k5_qc_lang2(B,D) = k5_qc_lang2(A,C) -> C = D & B = A))))))))) # label(t19_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4826 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k12_qc_lang1(k13_qc_lang1(k12_qc_lang1(A),k12_qc_lang1(B))) = k3_qc_lang2(A,B))))) # label(d3_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4827 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k15_qc_lang2(k4_qc_lang2(A,B)) = k2_xboole_0(k2_xboole_0(k15_qc_lang2(A),k15_qc_lang2(B)),k5_enumset1(k12_qc_lang1(B),k13_qc_lang1(A,k12_qc_lang1(B)),k2_qc_lang2(A,B),k12_qc_lang1(A),k13_qc_lang1(B,k12_qc_lang1(A)),k2_qc_lang2(B,A),k4_qc_lang2(A,B))))))) # label(t115_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4828 $T # label(t34_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4829 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) -> r3_qc_lang2(k21_qc_lang1(A),A)))) # label(t98_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4830 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (r2_hidden(B,k15_qc_lang2(C)) -> r2_hidden(A,k15_qc_lang2(C)) | -r1_qc_lang2(A,B) & -r3_qc_lang2(A,B) & -r2_qc_lang2(A,B)))))))) # label(t120_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4831 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k15_qc_lang2(k13_qc_lang1(A,B)) = k2_xboole_0(k2_xboole_0(k15_qc_lang2(A),k15_qc_lang2(B)),k1_tarski(k13_qc_lang1(A,B))))))) # label(t111_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4832 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (all E (m1_subset_1(E,k8_qc_lang1) -> (k5_qc_lang2(C,E) = k7_qc_lang2(A,B,D) -> A = C & E = k5_qc_lang2(B,D)))))))))))) # label(t24_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4833 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k3_qc_lang2(A,B) = k2_qc_lang2(k12_qc_lang1(A),B))))) # label(t14_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4834 $T # label(t12_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4835 $T # label(t15_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4836 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (B = k15_qc_lang2(A) <-> (all C (r2_hidden(C,B) <-> (exists D (D = C & r2_qc_lang2(D,A) & m1_subset_1(D,k8_qc_lang1))))))))) # label(d23_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4837 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> k8_qc_lang2(A,B,C,D) = k14_qc_lang1(A,k6_qc_lang2(B,C,D)))))))))) # label(d8_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4838 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (r2_qc_lang2(A,B) <-> r3_qc_lang2(A,k14_qc_lang1(C,B))))))))) # label(t91_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4839 $T # label(t35_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4840 (all A (m1_subset_1(A,k8_qc_lang1) -> k11_qc_lang2(k18_qc_lang1(A)) = k14_qc_lang2(A))) # label(d19_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4841 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r3_qc_lang2(A,B) & (all C (m1_subset_1(C,k8_qc_lang1) -> -r1_qc_lang2(C,B)))))))) # label(t75_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4842 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> r3_qc_lang2(k18_qc_lang1(A),A) & r3_qc_lang2(k19_qc_lang1(A),A)))) # label(t97_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4843 $T # label(t69_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4844 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> v4_qc_lang2(k9_qc_lang2(A,B,C,D)) & v4_qc_lang2(k7_qc_lang2(A,B,D)))))))))) # label(t38_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4845 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_qc_lang2(B,A) & r2_qc_lang2(A,B) -> B = A))))) # label(t78_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4846 $T # label(t36_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4847 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (r2_qc_lang2(A,B) | r2_qc_lang2(A,C) <-> r3_qc_lang2(A,k13_qc_lang1(B,C))))))))) # label(t89_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4848 (all A all B (m1_subset_1(B,k8_qc_lang1) & m1_subset_1(A,k2_qc_lang1) -> m1_subset_1(k5_qc_lang2(A,B),k8_qc_lang1))) # label(dt_k5_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4849 $T # label(t106_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4850 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v3_qc_lang1(A) -> (r1_qc_lang2(B,A) <-> B = k17_qc_lang1(A))))))) # label(t65_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4851 (all A (m1_subset_1(A,k8_qc_lang1) -> k10_qc_lang2(A) = k17_qc_lang1(k18_qc_lang1(k17_qc_lang1(A))))) # label(d14_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4852 (all A (m1_subset_1(A,k8_qc_lang1) -> k17_qc_lang1(k12_qc_lang1(A)) = A)) # label(t2_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4853 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(B)) -> (all D (m1_qc_lang1(D,B) -> -r1_qc_lang2(A,k9_qc_lang1(C,D)))))))))) # label(t59_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4854 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k11_qc_lang2(A),k8_qc_lang1))) # label(dt_k11_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4855 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r3_qc_lang2(A,B) & r2_qc_lang2(B,A)))))) # label(t79_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4856 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang2(A) -> v3_qc_lang1(k21_qc_lang1(k17_qc_lang1(A))) & v5_qc_lang1(k17_qc_lang1(A)) & v3_qc_lang1(A)))) # label(t52_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4857 (all A (m1_subset_1(A,k8_qc_lang1) -> (k1_tarski(A) = k15_qc_lang2(A) <-> v2_qc_lang1(A) | k11_qc_lang1 = A))) # label(t116_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4858 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k2_qc_lang2(A,B) = k12_qc_lang1(k13_qc_lang1(A,k12_qc_lang1(B))))))) # label(d2_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4859 $T # label(t10_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4860 (all A (m1_subset_1(A,k8_qc_lang1) -> (v1_qc_lang2(A) <-> (exists B (m1_subset_1(B,k8_qc_lang1) & (exists C (m1_subset_1(C,k8_qc_lang1) & A = k3_qc_lang2(B,C)))))))) # label(d10_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4861 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m2_subset_1(D,k1_qc_lang1,k2_qc_lang1) -> (all E (m2_subset_1(E,k1_qc_lang1,k2_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (k7_qc_lang2(D,F,B) = k7_qc_lang2(C,E,A) -> E = F & B = A & C = D))))))))))))) # label(t23_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4862 $T # label(t9_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4863 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (k4_qc_lang2(A,B) = k4_qc_lang2(C,D) -> B = D & C = A))))))))) # label(t18_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4864 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) -> k14_qc_lang1(k20_qc_lang1(A),k21_qc_lang1(A)) = A))) # label(t7_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4865 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k2_xboole_0(k2_xboole_0(k15_qc_lang2(A),k15_qc_lang2(B)),k2_enumset1(k12_qc_lang1(B),k12_qc_lang1(A),k13_qc_lang1(k12_qc_lang1(A),k12_qc_lang1(B)),k3_qc_lang2(A,B))) = k15_qc_lang2(k3_qc_lang2(A,B)))))) # label(t114_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4866 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_qc_lang2(k12_qc_lang1(A),B) -> r3_qc_lang2(A,B)))))) # label(t87_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.67 4867 $T # label(d17_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4868 $T # label(t37_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4869 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> r3_qc_lang2(k13_qc_lang1(k12_qc_lang1(A),k12_qc_lang1(B)),k3_qc_lang2(A,B)) & r3_qc_lang2(k12_qc_lang1(A),k3_qc_lang2(A,B)) & r3_qc_lang2(A,k3_qc_lang2(A,B)) & r3_qc_lang2(B,k3_qc_lang2(A,B)) & r3_qc_lang2(k12_qc_lang1(B),k3_qc_lang2(A,B)))))) # label(t94_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4870 (all A (m1_subset_1(A,k8_qc_lang1) -> k11_qc_lang2(A) = k17_qc_lang1(k19_qc_lang1(k17_qc_lang1(A))))) # label(d15_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4871 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r3_qc_lang2(B,A) & r3_qc_lang2(A,B)))))) # label(t80_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4872 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k12_qc_lang1(k14_qc_lang1(A,k12_qc_lang1(B))) = k5_qc_lang2(A,B))))) # label(d5_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4873 (all A (m1_subset_1(A,k8_qc_lang1) -> (v5_qc_lang1(A) -> k15_qc_lang2(A) = k2_xboole_0(k15_qc_lang2(k21_qc_lang1(A)),k1_tarski(A))))) # label(t119_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4874 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r1_xreal_0(k3_finseq_1(k10_qc_lang1(B)),k3_finseq_1(k10_qc_lang1(A))) & r1_qc_lang2(A,B)))))) # label(t71_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4875 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (all E (m1_subset_1(E,k8_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (k9_qc_lang2(A,B,C,D) = k5_qc_lang2(F,E) -> E = k7_qc_lang2(B,C,D) & A = F))))))))))))) # label(t31_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4876 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_qc_lang2(A,B) -> r1_tarski(k15_qc_lang2(A),k15_qc_lang2(B))))))) # label(t104_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4877 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> k5_qc_lang2(A,k7_qc_lang2(B,C,D)) = k9_qc_lang2(A,B,C,D))))))))) # label(d9_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4878 (all A all B all C (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(C,k8_qc_lang1) & m1_subset_1(B,k2_qc_lang1) -> m1_subset_1(k7_qc_lang2(A,B,C),k8_qc_lang1))) # label(dt_k7_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4879 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k4_qc_lang2(A,B) = k13_qc_lang1(k2_qc_lang2(A,B),k2_qc_lang2(B,A)))))) # label(d4_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4880 (all A all B (m1_subset_1(A,k8_qc_lang1) & m1_subset_1(B,k8_qc_lang1) -> m1_subset_1(k3_qc_lang2(A,B),k8_qc_lang1))) # label(dt_k3_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4881 (all A (m1_subset_1(A,k8_qc_lang1) -> k2_xboole_0(k15_qc_lang2(A),k1_tarski(k12_qc_lang1(A))) = k15_qc_lang2(k12_qc_lang1(A)))) # label(t110_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4882 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m2_subset_1(D,k1_qc_lang1,k2_qc_lang1) -> (all E (m2_subset_1(E,k1_qc_lang1,k2_qc_lang1) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_qc_lang1,k2_qc_lang1) -> (all H (m2_subset_1(H,k1_qc_lang1,k2_qc_lang1) -> (k8_qc_lang2(C,E,G,A) = k8_qc_lang2(D,F,H,B) -> D = C & A = B & G = H & E = F))))))))))))))))) # label(t27_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4883 (all A (m1_subset_1(A,k8_qc_lang1) -> (k11_qc_lang1 = A <-> r2_qc_lang2(A,k11_qc_lang1)))) # label(t99_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4884 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang2(A) -> k2_qc_lang2(k12_qc_lang2(A),k11_qc_lang2(A)) = A))) # label(t54_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4885 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (all E (m1_subset_1(E,k8_qc_lang1) -> (k6_qc_lang2(A,B,D) = k14_qc_lang1(C,E) -> C = A & k14_qc_lang1(B,D) = E))))))))))) # label(t22_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4886 $T # label(t39_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4887 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(r1_xreal_0(k3_finseq_1(k10_qc_lang1(B)),k3_finseq_1(k10_qc_lang1(A))) & r3_qc_lang2(A,B)))))) # label(t74_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4888 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r1_qc_lang2(A,B) -> r2_qc_lang2(A,B)))))) # label(t72_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4889 (all A (m1_subset_1(A,k8_qc_lang1) -> k12_qc_lang2(k18_qc_lang1(A)) = k13_qc_lang2(A))) # label(d18_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4890 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> -(v2_qc_lang1(A) & r3_qc_lang2(B,A)))))) # label(t95_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4891 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (r2_qc_lang2(A,B) <-> r3_qc_lang2(A,k12_qc_lang1(B))))))) # label(t86_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4892 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (k13_qc_lang1(A,B) = k13_qc_lang1(C,D) -> C = A & D = B))))))))) # label(t3_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4893 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> A = k13_qc_lang2(k4_qc_lang2(A,B)) & k18_qc_lang1(k4_qc_lang2(A,B)) = k2_qc_lang2(A,B) & k2_qc_lang2(B,A) = k19_qc_lang1(k4_qc_lang2(A,B)) & k14_qc_lang2(k4_qc_lang2(A,B)) = B)))) # label(t47_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4894 (all A all B all C (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(B,k2_qc_lang1) & m1_subset_1(C,k8_qc_lang1) -> m1_subset_1(k6_qc_lang2(A,B,C),k8_qc_lang1))) # label(dt_k6_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4895 (all A (m1_subset_1(A,k8_qc_lang1) -> (v3_qc_lang1(A) -> k2_xboole_0(k15_qc_lang2(k17_qc_lang1(A)),k1_tarski(A)) = k15_qc_lang2(A)))) # label(t117_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4896 (all A (m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k12_qc_lang2(A),k8_qc_lang1))) # label(dt_k12_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4897 (all A (m1_subset_1(A,k8_qc_lang1) -> (v2_qc_lang2(A) <-> (exists B (m1_subset_1(B,k8_qc_lang1) & (exists C (A = k2_qc_lang2(B,C) & m1_subset_1(C,k8_qc_lang1)))))))) # label(d11_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4898 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> (k3_qc_lang2(A,B) = k3_qc_lang2(C,D) -> B = D & C = A))))))))) # label(t16_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4899 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> k2_xboole_0(k15_qc_lang2(A),k1_tarski(k14_qc_lang1(B,A))) = k15_qc_lang2(k14_qc_lang1(B,A)))))) # label(t112_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4900 (all A (m1_subset_1(A,k8_qc_lang1) -> (v4_qc_lang1(A) -> k15_qc_lang2(A) = k2_xboole_0(k2_xboole_0(k15_qc_lang2(k18_qc_lang1(A)),k15_qc_lang2(k19_qc_lang1(A))),k1_tarski(A))))) # label(t118_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4901 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m1_subset_1(D,k8_qc_lang1) -> A = k20_qc_lang1(k8_qc_lang2(A,B,C,D)) & k6_qc_lang2(B,C,D) = k21_qc_lang1(k8_qc_lang2(A,B,C,D)) & v5_qc_lang1(k8_qc_lang2(A,B,C,D)))))))))) # label(t33_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4902 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (k12_qc_lang1(B) = k12_qc_lang1(A) -> B = A))))) # label(t1_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4903 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(B)) -> (all D (m1_qc_lang1(D,B) -> (k9_qc_lang1(C,D) = A <-> r2_qc_lang2(A,k9_qc_lang1(C,D))))))))))) # label(t100_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4904 (all A all B (m1_subset_1(A,k8_qc_lang1) & m1_subset_1(B,k8_qc_lang1) -> m1_subset_1(k4_qc_lang2(A,B),k8_qc_lang1))) # label(dt_k4_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4905 $T # label(t42_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4906 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (r1_qc_lang2(A,k14_qc_lang1(C,B)) <-> B = A))))))) # label(t63_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4907 (all A all B all C all D (m1_subset_1(A,k2_qc_lang1) & m1_subset_1(C,k2_qc_lang1) & m1_subset_1(D,k8_qc_lang1) & m1_subset_1(B,k2_qc_lang1) -> m1_subset_1(k8_qc_lang2(A,B,C,D),k8_qc_lang1))) # label(dt_k8_qc_lang2) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4908 (all A all B (m1_subset_1(A,k7_cqc_lang) & m1_subset_1(B,k7_cqc_lang) -> k12_cqc_lang(A,B) = k2_qc_lang2(A,B))) # label(redefinition_k12_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4909 $T # label(t9_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4910 $T # label(t1_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4911 $T # label(t14_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4912 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s6_cqc_lang) -> (f3_s6_cqc_lang(A) = B <-> (exists C (B = k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,A) & (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k8_qc_lang1,k7_cqc_lang) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (m1_qc_lang1(H,G) & v1_cqc_lang(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> f8_s6_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k10_cqc_lang(D)) & f9_s6_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,E)) = k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k11_cqc_lang(D,E)) & f10_s6_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k15_cqc_lang(F,D)) & k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k8_cqc_lang(G,I,H)) = f4_s6_cqc_lang(G,I,H))))))))))))) & f2_s6_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s6_cqc_lang,C,k9_cqc_lang) & m2_relset_1(C,k7_cqc_lang,f1_s6_cqc_lang) & v1_funct_2(C,k7_cqc_lang,f1_s6_cqc_lang) & v1_funct_1(C)))))))) -> f4_s6_cqc_lang(f5_s6_cqc_lang,f6_s6_cqc_lang,f7_s6_cqc_lang) = f3_s6_cqc_lang(k8_cqc_lang(f5_s6_cqc_lang,f6_s6_cqc_lang,f7_s6_cqc_lang)) # label(s6_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4913 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k2_qc_lang1) -> m2_subset_1(k16_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang))) # label(dt_k16_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4914 (all A (-(-r2_hidden(A,k2_qc_lang1) & -r2_hidden(A,k4_qc_lang1) & -r2_hidden(A,k3_qc_lang1)) <-> r2_hidden(A,k1_qc_lang1))) # label(t7_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.21/25.68 4915 (all A (m2_finseq_1(A,k1_qc_lang1) -> (all B (v1_funct_1(B) & m2_relset_1(B,k4_qc_lang1,k1_qc_lang1) -> (all C (m2_finseq_1(C,k1_qc_lang1) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,D) & r1_xreal_0(D,k3_finseq_1(A)) -> (r2_hidden(k1_funct_1(A,D),k1_relat_1(B)) -> k1_funct_1(C,D) = k1_funct_1(B,k1_funct_1(A,D))) & (-r2_hidden(k1_funct_1(A,D),k1_relat_1(B)) -> k1_funct_1(A,D) = k1_funct_1(C,D))))) & k3_finseq_1(C) = k3_finseq_1(A) <-> C = k4_cqc_lang(A,B)))))))) # label(d3_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4916 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m1_qc_lang1(B,A) -> (v1_cqc_lang(B,A) & m1_qc_lang1(B,A) <-> a_2_1_cqc_lang(A,B) = k1_xboole_0 & k1_xboole_0 = a_2_0_cqc_lang(A,B)))))) # label(t15_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4917 $T # label(t8_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4918 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> m2_subset_1(k4_qc_lang2(A,B),k8_qc_lang1,k7_cqc_lang))))) # label(t22_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4919 $T # label(dt_k3_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4920 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s7_cqc_lang) -> (f2_s7_cqc_lang(A) = B <-> (exists C (v1_funct_1(C) & m2_relset_1(C,k7_cqc_lang,f1_s7_cqc_lang) & f3_s7_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k9_cqc_lang) & (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k8_qc_lang1,k7_cqc_lang) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (v1_cqc_lang(H,G) & m1_qc_lang1(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k10_cqc_lang(D)) = f5_s7_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,D)) & f8_s7_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k15_cqc_lang(F,D)) & k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k11_cqc_lang(D,E)) = f7_s7_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,E)) & k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,k8_cqc_lang(G,I,H)) = f4_s7_cqc_lang(G,I,H))))))))))))) & k8_funct_2(k7_cqc_lang,f1_s7_cqc_lang,C,A) = B & v1_funct_2(C,k7_cqc_lang,f1_s7_cqc_lang)))))))) -> f5_s7_cqc_lang(f2_s7_cqc_lang(f6_s7_cqc_lang)) = f2_s7_cqc_lang(k10_cqc_lang(f6_s7_cqc_lang)) # label(s7_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4921 (all A all B (v1_relat_1(k3_cqc_lang(A,B)) & v1_funct_1(k3_cqc_lang(A,B)))) # label(fc1_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4922 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m1_qc_lang1(B,A) -> (r1_tarski(k2_relat_1(B),k2_qc_lang1) <-> v1_cqc_lang(B,A)))))) # label(d5_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4923 (all A (m1_subset_1(A,f1_s4_cqc_lang) -> (all B (m1_subset_1(B,f1_s4_cqc_lang) -> -((exists C (v1_funct_1(C) & v1_funct_2(C,k7_cqc_lang,f1_s4_cqc_lang) & m2_relset_1(C,k7_cqc_lang,f1_s4_cqc_lang) & (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k8_qc_lang1,k7_cqc_lang) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (v1_cqc_lang(H,G) & m1_qc_lang1(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> f5_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k10_cqc_lang(D)) & f6_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,E)) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k11_cqc_lang(D,E)) & f7_s4_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k15_cqc_lang(F,D)) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k8_cqc_lang(G,I,H)) = f4_s4_cqc_lang(G,I,H))))))))))))) & f3_s4_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k9_cqc_lang) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,f2_s4_cqc_lang) = B)) & A != B & (exists C (v1_funct_2(C,k7_cqc_lang,f1_s4_cqc_lang) & (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k8_qc_lang1,k7_cqc_lang) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (v1_cqc_lang(H,G) & m1_qc_lang1(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> f5_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k10_cqc_lang(D)) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k11_cqc_lang(D,E)) = f6_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,E)) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k15_cqc_lang(F,D)) = f7_s4_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,D)) & f4_s4_cqc_lang(G,I,H) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k8_cqc_lang(G,I,H)))))))))))))) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,k9_cqc_lang) = f3_s4_cqc_lang & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,C,f2_s4_cqc_lang) = A & m2_relset_1(C,k7_cqc_lang,f1_s4_cqc_lang) & v1_funct_1(C)))))))) # label(s4_cqc_lang_AndLHS) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4924 (exists A ((exists B (v1_funct_1(B) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k9_cqc_lang) = f3_s4_cqc_lang & (all C (m2_subset_1(C,k8_qc_lang1,k7_cqc_lang) -> (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k1_qc_lang1,k2_qc_lang1) -> (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (all G (m1_qc_lang1(G,F) & v1_cqc_lang(G,F) -> (all H (m2_subset_1(H,k5_qc_lang1,k7_qc_lang1(F)) -> f4_s4_cqc_lang(F,H,G) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k8_cqc_lang(F,H,G)) & k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k11_cqc_lang(C,D)) = f6_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,C),k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,D)) & f7_s4_cqc_lang(E,k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,C)) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k15_cqc_lang(E,C)) & f5_s4_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,C)) = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,k10_cqc_lang(C)))))))))))))) & A = k8_funct_2(k7_cqc_lang,f1_s4_cqc_lang,B,f2_s4_cqc_lang) & m2_relset_1(B,k7_cqc_lang,f1_s4_cqc_lang) & v1_funct_2(B,k7_cqc_lang,f1_s4_cqc_lang))) & m1_subset_1(A,f1_s4_cqc_lang))) # label(s4_cqc_lang_AndRHS) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4925 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> k9_cqc_lang = k17_cqc_lang(k9_cqc_lang,A))) # label(t28_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4926 (all A all B (m1_subset_1(B,k2_qc_lang1) & m1_subset_1(A,k4_qc_lang1) -> v1_funct_1(k6_cqc_lang(A,B)) & m2_relset_1(k6_cqc_lang(A,B),k4_qc_lang1,k1_qc_lang1))) # label(dt_k6_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4927 (all A all B (m1_subset_1(A,k7_cqc_lang) & m1_subset_1(B,k7_cqc_lang) -> m2_subset_1(k14_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang))) # label(dt_k14_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4928 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v4_qc_lang1(B) -> k13_qc_lang1(k17_cqc_lang(k18_qc_lang1(B),A),k17_cqc_lang(k19_qc_lang1(B),A)) = k17_cqc_lang(B,A)))))) # label(t33_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4929 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v5_qc_lang1(B) -> k17_cqc_lang(B,A) = k14_qc_lang1(k20_qc_lang1(B),k17_cqc_lang(k21_qc_lang1(B),A)) | k20_qc_lang1(B) = A))))) # label(t36_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4930 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (k1_xboole_0 = k5_qc_lang3(B) -> k17_cqc_lang(B,A) = B))))) # label(t39_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4931 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k1_qc_lang1,k4_qc_lang1) -> (all D (m2_finseq_1(D,k1_qc_lang1) -> (all E (m2_finseq_1(E,k1_qc_lang1) -> (all F (m2_relset_1(F,k4_qc_lang1,k1_qc_lang1) & v1_funct_1(F) -> (k4_cqc_lang(E,F) = D & r1_xreal_0(np__1,A) & r1_xreal_0(A,k3_finseq_1(E)) & k6_cqc_lang(C,B) = F -> (k1_funct_1(E,A) = C -> k1_funct_1(D,A) = B) & (k1_funct_1(E,A) != C -> k1_funct_1(E,A) = k1_funct_1(D,A))))))))))))))) # label(t11_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4932 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s8_cqc_lang) -> ((exists C (v1_funct_1(C) & (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k8_qc_lang1,k7_cqc_lang) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (m1_qc_lang1(H,G) & v1_cqc_lang(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> f9_s8_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k15_cqc_lang(F,D)) & k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k11_cqc_lang(D,E)) = f6_s8_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,E)) & k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k10_cqc_lang(D)) = f5_s8_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,D)) & f4_s8_cqc_lang(G,I,H) = k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k8_cqc_lang(G,I,H)))))))))))))) & f3_s8_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,k9_cqc_lang) & k8_funct_2(k7_cqc_lang,f1_s8_cqc_lang,C,A) = B & m2_relset_1(C,k7_cqc_lang,f1_s8_cqc_lang) & v1_funct_2(C,k7_cqc_lang,f1_s8_cqc_lang))) <-> B = f2_s8_cqc_lang(A)))))) -> f6_s8_cqc_lang(f2_s8_cqc_lang(f7_s8_cqc_lang),f2_s8_cqc_lang(f8_s8_cqc_lang)) = f2_s8_cqc_lang(k11_cqc_lang(f7_s8_cqc_lang,f8_s8_cqc_lang)) # label(s8_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4933 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> m2_subset_1(k5_qc_lang2(A,B),k8_qc_lang1,k7_cqc_lang))))) # label(t24_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4934 (all A (m1_subset_1(A,k8_qc_lang1) -> (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) <-> m2_subset_1(k12_qc_lang1(A),k8_qc_lang1,k7_cqc_lang)))) # label(t18_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4935 $T # label(t12_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4936 $T # label(t2_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4937 (all A all B all C (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k7_qc_lang1(A)) & m1_qc_lang1(C,A) & v1_cqc_lang(C,A) -> k8_cqc_lang(A,B,C) = k9_qc_lang1(B,C))) # label(redefinition_k8_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4938 (all A (m1_subset_1(A,k7_cqc_lang) -> m2_subset_1(k10_cqc_lang(A),k8_qc_lang1,k7_cqc_lang))) # label(dt_k10_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4939 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (m1_qc_lang1(E,D) & v1_cqc_lang(E,D) -> (all F (m2_subset_1(F,k5_qc_lang1,k7_qc_lang1(D)) -> f5_s3_cqc_lang(D,F,E) = k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k8_cqc_lang(D,F,E)) & f8_s3_cqc_lang(C,k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,A)) = k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k15_cqc_lang(C,A)) & k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k11_cqc_lang(A,B)) = f7_s3_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,A),k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,B)) & k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k10_cqc_lang(A)) = f6_s3_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,A)))))))))))))) & (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (m1_qc_lang1(E,D) & v1_cqc_lang(E,D) -> (all F (m2_subset_1(F,k5_qc_lang1,k7_qc_lang1(D)) -> k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,k11_cqc_lang(A,B)) = f7_s3_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,A),k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,B)) & k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,k15_cqc_lang(C,A)) = f8_s3_cqc_lang(C,k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,A)) & k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,k10_cqc_lang(A)) = f6_s3_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,A)) & f5_s3_cqc_lang(D,F,E) = k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,k8_cqc_lang(D,F,E)))))))))))))) & k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f3_s3_cqc_lang,k9_cqc_lang) = f4_s3_cqc_lang & f4_s3_cqc_lang = k8_funct_2(k7_cqc_lang,f1_s3_cqc_lang,f2_s3_cqc_lang,k9_cqc_lang) -> f2_s3_cqc_lang = f3_s3_cqc_lang # label(s3_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4940 (all A all B all C (m1_subset_1(A,k5_numbers) & v1_funct_1(C) & m1_relset_1(C,k4_qc_lang1,k1_qc_lang1) & m1_qc_lang1(B,A) -> k4_cqc_lang(B,C) = k5_cqc_lang(A,B,C))) # label(redefinition_k5_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4941 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> k17_cqc_lang(k13_qc_lang1(B,C),A) = k13_qc_lang1(k17_cqc_lang(B,A),k17_cqc_lang(C,A)))))))) # label(t34_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4942 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (B != A -> k17_cqc_lang(k14_qc_lang1(A,C),B) = k14_qc_lang1(A,k17_cqc_lang(C,B))))))))) # label(t38_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4943 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s9_cqc_lang) -> ((exists C (v1_funct_1(C) & v1_funct_2(C,k7_cqc_lang,f1_s9_cqc_lang) & m2_relset_1(C,k7_cqc_lang,f1_s9_cqc_lang) & (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k8_qc_lang1,k7_cqc_lang) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (m1_qc_lang1(H,G) & v1_cqc_lang(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,k11_cqc_lang(D,E)) = f6_s9_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,E)) & f7_s9_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,k15_cqc_lang(F,D)) & f5_s9_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,D)) = k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,k10_cqc_lang(D)) & f4_s9_cqc_lang(G,I,H) = k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,k8_cqc_lang(G,I,H)))))))))))))) & k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,k9_cqc_lang) = f3_s9_cqc_lang & B = k8_funct_2(k7_cqc_lang,f1_s9_cqc_lang,C,A))) <-> B = f2_s9_cqc_lang(A)))))) -> f7_s9_cqc_lang(f8_s9_cqc_lang,f2_s9_cqc_lang(f9_s9_cqc_lang)) = f2_s9_cqc_lang(k15_cqc_lang(f8_s9_cqc_lang,f9_s9_cqc_lang)) # label(s9_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4944 (all A all B (m1_subset_1(A,k7_cqc_lang) & m1_subset_1(B,k7_cqc_lang) -> k3_qc_lang2(A,B) = k13_cqc_lang(A,B))) # label(redefinition_k13_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4945 (all A all B (m1_finseq_1(A,k1_qc_lang1) & v1_funct_1(B) & m1_relset_1(B,k4_qc_lang1,k1_qc_lang1) -> m2_finseq_1(k4_cqc_lang(A,B),k1_qc_lang1))) # label(dt_k4_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4946 $T # label(t25_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4947 (all A all B all C (m1_qc_lang1(C,B) & m2_subset_1(B,k1_numbers,k5_numbers) -> ((exists D (m2_subset_1(D,k1_numbers,k5_numbers) & r1_xreal_0(np__1,D) & r2_hidden(k1_funct_1(C,D),k4_qc_lang1) & r1_xreal_0(D,k3_finseq_1(C)) & k1_funct_1(C,D) = A)) <-> r2_hidden(A,a_2_0_cqc_lang(B,C))))) # label(fraenkel_a_2_0_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4948 (all A all B (m1_subset_1(A,k7_cqc_lang) & m1_subset_1(B,k7_cqc_lang) -> k14_cqc_lang(A,B) = k4_qc_lang2(A,B))) # label(redefinition_k14_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4949 (all A (m1_subset_1(A,k8_qc_lang1) -> (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) <-> k5_qc_lang3(A) = k1_xboole_0 & k1_xboole_0 = k6_qc_lang3(A)))) # label(t13_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.68 4950 $T # label(t3_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4951 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> m2_subset_1(k3_qc_lang2(A,B),k8_qc_lang1,k7_cqc_lang))))) # label(t21_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4952 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) <-> m2_subset_1(k14_qc_lang1(A,B),k8_qc_lang1,k7_cqc_lang)))))) # label(t23_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4953 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> (all C (m2_subset_1(C,k1_qc_lang1,k2_qc_lang1) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (v1_cqc_lang(E,D) & m1_qc_lang1(E,D) -> (all F (m2_subset_1(F,k5_qc_lang1,k7_qc_lang1(D)) -> p1_s1_cqc_lang(k9_cqc_lang) & (p1_s1_cqc_lang(A) & p1_s1_cqc_lang(B) -> p1_s1_cqc_lang(k11_cqc_lang(A,B))) & (p1_s1_cqc_lang(A) -> p1_s1_cqc_lang(k15_cqc_lang(C,A))) & (p1_s1_cqc_lang(A) -> p1_s1_cqc_lang(k10_cqc_lang(A))) & p1_s1_cqc_lang(k8_cqc_lang(D,F,E)))))))))))))) -> (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> p1_s1_cqc_lang(A))) # label(s1_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4954 $T # label(t4_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4955 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k7_cqc_lang) -> k11_cqc_lang(A,B) = k13_qc_lang1(A,B))) # label(redefinition_k11_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4956 (all A all B all C all D all E (m1_subset_1(E,A) & m1_subset_1(D,A) & -v1_xboole_0(A) -> k2_cqc_lang(A,B,C,D,E) = k1_cqc_lang(B,C,D,E))) # label(redefinition_k2_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4957 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m2_subset_1(C,k5_qc_lang1,k7_qc_lang1(A)) -> (all D (m1_qc_lang1(D,A) -> k9_qc_lang1(C,k5_cqc_lang(A,D,k6_cqc_lang(k3_qc_lang3(np__0),B))) = k17_cqc_lang(k9_qc_lang1(C,D),B))))))))) # label(t30_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4958 (all A all B (m1_subset_1(B,k2_qc_lang1) & m1_subset_1(A,k8_qc_lang1) -> m1_subset_1(k17_cqc_lang(A,B),k8_qc_lang1))) # label(dt_k17_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4959 (all A all B all C k3_cqc_lang(k4_tarski(A,B),C) = k9_funct_2(A,B,C)) # label(t42_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4960 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k2_qc_lang1) -> k14_qc_lang1(A,B) = k15_cqc_lang(A,B))) # label(redefinition_k15_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4961 (all A all B (k1_relat_1(k3_cqc_lang(A,B)) = k1_tarski(A) & k1_tarski(B) = k2_relat_1(k3_cqc_lang(A,B)))) # label(t5_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4962 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k5_qc_lang1,k7_qc_lang1(A)) -> (all C (m1_qc_lang1(C,A) -> (k1_xboole_0 = a_2_1_cqc_lang(A,C) & k1_xboole_0 = a_2_0_cqc_lang(A,C) <-> m2_subset_1(k9_qc_lang1(B,C),k8_qc_lang1,k7_cqc_lang)))))))) # label(t17_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4963 (exists A (m2_relset_1(A,k7_cqc_lang,f1_s2_cqc_lang) & k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,k9_cqc_lang) = f2_s2_cqc_lang & (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> (all C (m2_subset_1(C,k8_qc_lang1,k7_cqc_lang) -> (all D (m2_subset_1(D,k1_qc_lang1,k2_qc_lang1) -> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (all F (v1_cqc_lang(F,E) & m1_qc_lang1(F,E) -> (all G (m2_subset_1(G,k5_qc_lang1,k7_qc_lang1(E)) -> f4_s2_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,B)) = k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,k10_cqc_lang(B)) & k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,k11_cqc_lang(B,C)) = f5_s2_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,B),k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,C)) & f6_s2_cqc_lang(D,k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,B)) = k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,k15_cqc_lang(D,B)) & f3_s2_cqc_lang(E,G,F) = k8_funct_2(k7_cqc_lang,f1_s2_cqc_lang,A,k8_cqc_lang(E,G,F)))))))))))))) & v1_funct_2(A,k7_cqc_lang,f1_s2_cqc_lang) & v1_funct_1(A))) # label(s2_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4964 (all A all B k2_funcop_1(k1_tarski(A),B) = k3_cqc_lang(A,B)) # label(d2_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4965 (all A all B all C (v1_cqc_lang(C,A) & m1_qc_lang1(C,A) & m1_subset_1(B,k7_qc_lang1(A)) & m1_subset_1(A,k5_numbers) -> m2_subset_1(k8_cqc_lang(A,B,C),k8_qc_lang1,k7_cqc_lang))) # label(dt_k8_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4966 (all A all B all C (m2_subset_1(B,k1_numbers,k5_numbers) & m1_qc_lang1(C,B) -> ((exists D (A = k1_funct_1(C,D) & r2_hidden(k1_funct_1(C,D),k3_qc_lang1) & r1_xreal_0(D,k3_finseq_1(C)) & r1_xreal_0(np__1,D) & m2_subset_1(D,k1_numbers,k5_numbers))) <-> r2_hidden(A,a_2_1_cqc_lang(B,C))))) # label(fraenkel_a_2_1_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4967 $T # label(dt_k1_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4968 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m1_subset_1(B,f1_s5_cqc_lang) -> (B = f2_s5_cqc_lang(A) <-> (exists C (m2_relset_1(C,k7_cqc_lang,f1_s5_cqc_lang) & k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,A) = B & k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,k9_cqc_lang) = f3_s5_cqc_lang & (all D (m2_subset_1(D,k8_qc_lang1,k7_cqc_lang) -> (all E (m2_subset_1(E,k8_qc_lang1,k7_cqc_lang) -> (all F (m2_subset_1(F,k1_qc_lang1,k2_qc_lang1) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (m1_qc_lang1(H,G) & v1_cqc_lang(H,G) -> (all I (m2_subset_1(I,k5_qc_lang1,k7_qc_lang1(G)) -> k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,k10_cqc_lang(D)) = f5_s5_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,D)) & k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,k11_cqc_lang(D,E)) = f6_s5_cqc_lang(k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,D),k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,E)) & k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,k15_cqc_lang(F,D)) = f7_s5_cqc_lang(F,k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,D)) & f4_s5_cqc_lang(G,I,H) = k8_funct_2(k7_cqc_lang,f1_s5_cqc_lang,C,k8_cqc_lang(G,I,H)))))))))))))) & v1_funct_2(C,k7_cqc_lang,f1_s5_cqc_lang) & v1_funct_1(C)))))))) -> f2_s5_cqc_lang(k9_cqc_lang) = f3_s5_cqc_lang # label(s5_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4969 (all A all B k1_funct_1(k3_cqc_lang(A,B),A) = B) # label(t6_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4970 (all A all B all C C = k1_binop_1(k9_funct_2(A,B,C),A,B)) # label(t43_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4971 (all A all B (m1_subset_1(B,k2_qc_lang1) & m1_subset_1(A,k4_qc_lang1) -> k6_cqc_lang(A,B) = k3_cqc_lang(A,B))) # label(redefinition_k6_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4972 (all A (m1_subset_1(A,k7_cqc_lang) -> k10_cqc_lang(A) = k12_qc_lang1(A))) # label(redefinition_k10_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4973 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> B = k17_cqc_lang(B,A))))) # label(t40_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4974 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k2_qc_lang1) -> m2_subset_1(k15_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang))) # label(dt_k15_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4975 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k6_qc_lang3(k17_cqc_lang(B,A)) = k6_qc_lang3(B))))) # label(t41_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4976 (all A (m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) -> (all B (m2_subset_1(B,k8_qc_lang1,k7_cqc_lang) -> m2_subset_1(k2_qc_lang2(A,B),k8_qc_lang1,k7_cqc_lang))))) # label(t20_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4977 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k14_qc_lang1(A,B) = k17_cqc_lang(k14_qc_lang1(A,B),A))))) # label(t37_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4978 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v3_qc_lang1(B) -> k12_qc_lang1(k17_cqc_lang(k17_qc_lang1(B),A)) = k17_cqc_lang(B,A)))))) # label(t31_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4979 (all A all B all C (m1_qc_lang1(B,A) & v1_funct_1(C) & m1_relset_1(C,k4_qc_lang1,k1_qc_lang1) & m1_subset_1(A,k5_numbers) -> m1_qc_lang1(k5_cqc_lang(A,B,C),A))) # label(dt_k5_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4980 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k4_qc_lang1) -> v1_funct_1(k3_cqc_lang(B,A)) & m2_relset_1(k3_cqc_lang(B,A),k4_qc_lang1,k1_qc_lang1))))) # label(t10_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4981 (all A (r2_hidden(A,a_0_0_cqc_lang) <-> (exists B (k1_xboole_0 = k6_qc_lang3(B) & k5_qc_lang3(B) = k1_xboole_0 & B = A & m1_subset_1(B,k8_qc_lang1))))) # label(fraenkel_a_0_0_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4982 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k7_cqc_lang) -> m2_subset_1(k13_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang))) # label(dt_k13_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4983 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (v2_qc_lang1(B) -> k17_cqc_lang(B,A) = k9_qc_lang1(k15_qc_lang1(B),k4_cqc_lang(k16_qc_lang1(B),k6_cqc_lang(k3_qc_lang3(np__0),A)))))))) # label(t29_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4984 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> k12_qc_lang1(k17_cqc_lang(B,A)) = k17_cqc_lang(k12_qc_lang1(B),A))))) # label(t32_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4985 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (m2_subset_1(k13_qc_lang1(A,B),k8_qc_lang1,k7_cqc_lang) <-> m2_subset_1(A,k8_qc_lang1,k7_cqc_lang) & m2_subset_1(B,k8_qc_lang1,k7_cqc_lang)))))) # label(t19_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4986 $T # label(t27_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4987 (all A (m1_subset_1(A,k8_qc_lang1) -> (all B (m2_subset_1(B,k1_qc_lang1,k2_qc_lang1) -> (all C (m1_subset_1(C,k8_qc_lang1) -> (k17_cqc_lang(A,B) = C <-> (exists D (v1_funct_2(D,k8_qc_lang1,k8_qc_lang1) & m2_relset_1(D,k8_qc_lang1,k8_qc_lang1) & (all E (m1_subset_1(E,k8_qc_lang1) -> (v2_qc_lang1(E) -> k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,E) = k9_qc_lang1(k15_qc_lang1(E),k4_cqc_lang(k16_qc_lang1(E),k6_cqc_lang(k3_qc_lang3(np__0),B)))) & (v5_qc_lang1(E) -> k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,E) = k2_cqc_lang(k8_qc_lang1,k20_qc_lang1(E),B,E,k14_qc_lang1(k20_qc_lang1(E),k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,k21_qc_lang1(E))))) & (v4_qc_lang1(E) -> k13_qc_lang1(k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,k18_qc_lang1(E)),k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,k19_qc_lang1(E))) = k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,E)) & (v3_qc_lang1(E) -> k12_qc_lang1(k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,k17_qc_lang1(E))) = k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,E)) & k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,k9_cqc_lang) = k9_cqc_lang)) & C = k8_funct_2(k8_qc_lang1,k8_qc_lang1,D,A) & v1_funct_1(D)))))))))) # label(d6_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4988 (all A (m2_subset_1(A,k1_qc_lang1,k2_qc_lang1) -> (all B (m1_subset_1(B,k8_qc_lang1) -> (A = k20_qc_lang1(B) & v5_qc_lang1(B) -> k17_cqc_lang(B,A) = B))))) # label(t35_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4989 (all A (m1_subset_1(A,k5_numbers) -> (exists B (v1_relat_1(B) & v1_finseq_1(B) & v1_cqc_lang(B,A) & v1_funct_1(B) & m1_qc_lang1(B,A))))) # label(rc1_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4990 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k7_cqc_lang) -> m2_subset_1(k12_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang))) # label(dt_k12_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4991 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k7_cqc_lang) -> m2_subset_1(k11_cqc_lang(A,B),k8_qc_lang1,k7_cqc_lang))) # label(dt_k11_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4992 (all A all B all C all D all E (m1_subset_1(E,A) & m1_subset_1(D,A) & -v1_xboole_0(A) -> m1_subset_1(k2_cqc_lang(A,B,C,D,E),A))) # label(dt_k2_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4993 $T # label(t26_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4994 (all A all B all C all D ((A = B -> k1_cqc_lang(A,B,C,D) = C) & (A != B -> D = k1_cqc_lang(A,B,C,D)))) # label(d1_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4995 (all A all B (m1_subset_1(B,k7_cqc_lang) & m1_subset_1(A,k2_qc_lang1) -> k16_cqc_lang(A,B) = k5_qc_lang2(A,B))) # label(redefinition_k16_cqc_lang) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4996 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,B,k3_pboole(A,C,D)),k2_pboole(A,k4_pboole(A,B,C),k4_pboole(A,B,D))))))))) # label(t75_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4997 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,B,k2_pboole(A,B,C)),k2_pboole(A,B,C)) & r6_pboole(A,k2_pboole(A,k2_pboole(A,B,C),C),k2_pboole(A,B,C)))))) # label(t47_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4998 (all A all B (m1_pboole(B,A) -> (r2_pboole(A,B,k1_pboole(A)) -> r6_pboole(A,B,k1_pboole(A))))) # label(t50_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 4999 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,k3_pboole(A,C,B),k1_pboole(A)) & r2_pboole(A,B,C) -> r6_pboole(A,B,k1_pboole(A))))))) # label(t57_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5000 (all A exists B (m1_pboole(B,A) & v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B))) # label(rc3_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5001 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,k4_pboole(A,B,C),k3_pboole(A,B,C)),B) & r6_pboole(A,k2_pboole(A,k3_pboole(A,B,C),k4_pboole(A,B,C)),B))))) # label(t71_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5002 (all A exists B m1_pboole(B,A)) # label(existence_m1_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5003 (all A all B (m1_pboole(B,A) -> (exists C m2_pboole(C,A,B)))) # label(existence_m2_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5004 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r6_pboole(A,k3_pboole(A,B,D),k1_pboole(A)) & r2_pboole(A,B,k2_pboole(A,C,D)) -> r2_pboole(A,B,C)))))))) # label(t56_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5005 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k3_pboole(A,k2_pboole(A,C,B),B),B) & r6_pboole(A,k3_pboole(A,B,k2_pboole(A,C,B)),B) & r6_pboole(A,k3_pboole(A,k2_pboole(A,B,C),B),B) & r6_pboole(A,k3_pboole(A,B,k2_pboole(A,B,C)),B))))) # label(t36_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5006 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> (r6_pboole(A,B,C) -> r6_pboole(A,C,B)))) # label(symmetry_r6_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5007 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,k4_pboole(A,B,C),D) -> r2_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t88_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5008 (all A all B all C all D (-v1_xboole_0(B) & v1_funct_1(C) & m1_relset_1(C,A,B) & m1_pboole(D,B) & v2_relat_1(D) & v1_funct_2(C,A,B) -> k5_relat_1(C,D) = k8_pboole(A,B,C,D))) # label(redefinition_k8_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5009 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r2_pboole(A,B,C) & r2_pboole(A,D,E) -> r2_pboole(A,k2_pboole(A,B,D),k2_pboole(A,C,E))))))))))) # label(t22_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5010 (all A exists B (v1_funcop_1(B) & v1_funct_1(B) & v1_relat_1(B) & m1_pboole(B,A))) # label(rc4_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5011 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> (r4_pboole(A,B,C) -> r4_pboole(A,C,B)))) # label(symmetry_r4_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5012 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) -> r7_pboole(A,B,C)))))) # label(t130_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5013 $T # label(t125_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5014 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) & r5_pboole(A,C,D) & r2_pboole(A,B,D) -> r6_pboole(A,B,k1_pboole(A))))))))) # label(t123_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5015 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) & r2_pboole(A,D,C) -> r2_pboole(A,k2_pboole(A,B,D),C)))))))) # label(t18_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5016 $T # label(t32_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5017 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,B,k2_pboole(A,C,B)),k1_pboole(A)) & r6_pboole(A,k4_pboole(A,B,k2_pboole(A,B,C)),k1_pboole(A)))))) # label(t67_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5018 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k2_pboole(A,k3_pboole(A,C,D),B),k3_pboole(A,k2_pboole(A,C,B),k2_pboole(A,D,B))) & r6_pboole(A,k2_pboole(A,B,k3_pboole(A,C,D)),k3_pboole(A,k2_pboole(A,B,C),k2_pboole(A,B,D))))))))) # label(t39_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5019 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B all C k2_finseq_2(A,C) = k5_relat_1(k2_finseq_2(A,B),k2_funcop_1(k1_tarski(B),C))))) # label(t152_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5020 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,B,C),k5_pboole(A,B,k4_pboole(A,C,B))))))) # label(t100_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5021 (all A all B (m1_pboole(B,A) -> (all C (v2_relat_1(C) & m1_pboole(C,A) -> ((all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) <-> r1_pboole(A,D,C)))) -> r6_pboole(A,C,B)))))) # label(t147_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5022 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> ((all E (r2_hidden(E,A) -> k1_funct_2(k1_funct_1(B,E),k1_funct_1(C,E)) = k1_funct_1(D,E))) <-> D = k12_pboole(A,B,C)))))))) # label(d22_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5023 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r1_pboole(A,B,C) & r1_pboole(A,B,D) -> r4_pboole(A,C,D)))))))) # label(t10_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5024 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r6_pboole(A,k2_pboole(A,B,C),k2_pboole(A,D,E)) & r5_pboole(A,D,B) & r5_pboole(A,E,C) -> r6_pboole(A,D,C) & r6_pboole(A,E,B)))))))))) # label(t124_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5025 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (m3_pboole(D,A,B,C) <-> (all E (r2_hidden(E,A) -> v1_funct_1(k1_funct_1(D,E)) & v1_funct_2(k1_funct_1(D,E),k1_funct_1(B,E),k1_funct_1(C,E)) & m2_relset_1(k1_funct_1(D,E),k1_funct_1(B,E),k1_funct_1(C,E))))))))))) # label(d18_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5026 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k5_pboole(A,B,B),k1_pboole(A)))) # label(t92_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5027 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,B,C) <-> r2_pboole(A,C,B) & r2_pboole(A,B,C)))))) # label(d13_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5028 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> r6_pboole(A,B,B))) # label(reflexivity_r6_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5029 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) -> r6_pboole(A,k2_pboole(A,B,k3_pboole(A,D,C)),k3_pboole(A,k2_pboole(A,B,D),C))))))))) # label(t27_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5030 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,D) & r6_pboole(A,k3_pboole(A,C,D),k1_pboole(A)) & r2_pboole(A,B,C) -> r6_pboole(A,B,k1_pboole(A))))))))) # label(t51_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5031 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k3_pboole(A,B,C),k5_pboole(A,k5_pboole(A,B,C),k2_pboole(A,B,C))))))) # label(t105_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5032 (exists A (m1_pboole(A,f1_s4_pboole) & (all B (r2_hidden(B,f1_s4_pboole) -> k1_funct_1(A,B) = f2_s4_pboole(B))))) # label(s4_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5033 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> r7_pboole(A,B,B))) # label(reflexivity_r7_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5034 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k2_pboole(A,k2_pboole(A,B,C),D),k2_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t34_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5035 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(-r4_pboole(A,B,C) & r4_pboole(A,k3_pboole(A,D,B),k3_pboole(A,D,C))))))))) # label(t114_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5036 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) & r2_pboole(A,B,D) & (all E (m1_pboole(E,A) -> (r2_pboole(A,E,D) & r2_pboole(A,E,C) -> r2_pboole(A,E,B)))) <-> r6_pboole(A,B,k3_pboole(A,C,D))))))))) # label(t29_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5037 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> r2_pboole(A,B,B))) # label(reflexivity_r2_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5038 $T # label(d2_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5039 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r5_pboole(A,B,C) -> r6_pboole(A,k4_pboole(A,B,C),B)))))) # label(t126_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5040 $T # label(d1_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5041 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k2_pboole(A,k1_pboole(A),B),B) & r6_pboole(A,k2_pboole(A,B,k1_pboole(A)),B))) # label(t53_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5042 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,k4_pboole(A,C,B),D) & r2_pboole(A,k4_pboole(A,B,C),D) -> r2_pboole(A,k5_pboole(A,B,C),D)))))))) # label(t99_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5043 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,k3_finseq_2(A)) -> ((all D (m2_finseq_2(D,A,k3_finseq_2(A)) -> k4_card_3(k5_relat_1(D,B)) = k1_funct_1(C,D))) <-> k6_pboole(A,B) = C))))) # label(d19_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5044 (all A all B (m1_pboole(B,A) -> (all C (r2_hidden(C,A) -> m1_subset_1(k1_funct_1(B,C),k2_relat_1(B)))))) # label(t151_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5045 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r4_pboole(A,B,k4_pboole(A,C,D)) -> r4_pboole(A,B,C)))))))) # label(t113_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5046 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,B,k2_pboole(A,B,C)) & r2_pboole(A,C,k2_pboole(A,B,C)))))) # label(t16_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5047 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k4_pboole(A,k1_pboole(A),B),k1_pboole(A)))) # label(t66_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5048 (all A all B (m1_pboole(B,A) -> (v3_relat_1(B) <-> (all C (r2_hidden(C,A) -> v1_xboole_0(k1_funct_1(B,C))))))) # label(d15_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5049 (all A all B (v2_relat_1(B) & m1_pboole(B,A) -> v1_funct_1(k6_pboole(A,B)) & -v3_relat_1(k6_pboole(A,B)) & v2_relat_1(k6_pboole(A,B)) & v1_relat_1(k6_pboole(A,B)))) # label(fc1_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5050 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k2_pboole(A,B,k2_pboole(A,C,D)),k2_pboole(A,k2_pboole(A,B,C),k2_pboole(A,B,D))) & r6_pboole(A,k2_pboole(A,k2_pboole(A,B,C),D),k2_pboole(A,k2_pboole(A,B,D),k2_pboole(A,C,D))))))))) # label(t45_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5051 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,k4_pboole(A,C,B),B),k2_pboole(A,C,B)) & r6_pboole(A,k2_pboole(A,B,k4_pboole(A,C,B)),k2_pboole(A,B,C)))))) # label(t73_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5052 (all A all B k1_xboole_0 = k1_funct_1(k1_pboole(B),A)) # label(t5_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5053 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> k2_pboole(A,B,B) = B)) # label(idempotence_k2_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5054 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,k3_pboole(A,B,C),k1_pboole(A)) <-> r6_pboole(A,k4_pboole(A,B,C),B)))))) # label(t77_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5055 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,k2_pboole(A,B,C),D) -> r2_pboole(A,B,D) & r2_pboole(A,C,D)))))))) # label(t43_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5056 (all A k1_pboole(A) = k2_funcop_1(A,k1_xboole_0)) # label(d6_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5057 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) & -v1_xboole_0(A) -> (r3_pboole(A,B,C) <-> r1_pboole(A,B,C)))) # label(redefinition_r3_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5058 (all A all B (m1_pboole(B,A) -> (v3_relat_1(B) <-> v1_pboole(B,A)))) # label(redefinition_v1_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5059 $T # label(t131_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5060 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,k4_pboole(A,B,C),B) -> r5_pboole(A,B,C)))))) # label(t128_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5061 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> r1_tarski(k1_funct_1(B,D),k1_funct_1(C,D)))) <-> r2_pboole(A,B,C)))))) # label(d5_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5062 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k3_pboole(A,k3_pboole(A,B,C),D),k3_pboole(A,B,k3_pboole(A,C,D))))))))) # label(t35_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5063 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r6_pboole(A,k3_pboole(A,k2_pboole(A,B,C),k2_pboole(A,B,D)),B) -> r2_pboole(A,k3_pboole(A,C,D),B)))))))) # label(t41_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5064 $T # label(t13_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5065 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> -((all D (m1_pboole(D,A) -> -(r1_pboole(A,D,C) & r1_pboole(A,D,B)))) & r4_pboole(A,B,C)))))) # label(t11_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5066 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k3_pboole(A,C,k4_pboole(A,B,C)),k1_pboole(A)) & r6_pboole(A,k3_pboole(A,k4_pboole(A,B,C),C),k1_pboole(A)))))) # label(t69_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5067 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r2_pboole(A,k3_pboole(A,B,C),k2_pboole(A,B,D)))))))) # label(t26_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5068 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> m1_subset_1(k1_funct_1(C,D),k1_funct_1(B,D)))) <-> m2_pboole(C,A,B)))))) # label(d17_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5069 $T # label(t117_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5070 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,k3_pboole(A,B,C),B),B) & r6_pboole(A,k2_pboole(A,k3_pboole(A,C,B),B),B) & r6_pboole(A,k2_pboole(A,B,k3_pboole(A,C,B)),B) & r6_pboole(A,k2_pboole(A,B,k3_pboole(A,B,C)),B))))) # label(t37_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5071 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> m1_pboole(k4_pboole(A,B,C),A))) # label(dt_k4_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5072 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> r2_hidden(k1_funct_1(B,D),k1_funct_1(C,D)))) <-> r1_pboole(A,B,C)))))) # label(d4_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5073 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> (exists D m3_pboole(D,A,B,C)))) # label(existence_m3_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5074 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) & r6_pboole(A,k3_pboole(A,C,D),k1_pboole(A)) -> r6_pboole(A,k3_pboole(A,B,D),k1_pboole(A))))))))) # label(t52_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5075 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k5_pboole(A,k5_pboole(A,B,C),D),k5_pboole(A,B,k5_pboole(A,C,D))))))))) # label(t98_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5076 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,k4_pboole(A,B,C),C),k4_pboole(A,B,C)))))) # label(t84_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5077 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r6_pboole(A,B,k2_pboole(A,C,D)) <-> r2_pboole(A,C,B) & r2_pboole(A,D,B) & (all E (m1_pboole(E,A) -> (r2_pboole(A,C,E) & r2_pboole(A,D,E) -> r2_pboole(A,B,E))))))))))) # label(t28_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5078 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r7_pboole(A,B,C) & v2_relat_1(B) -> r2_pboole(A,B,C)))))) # label(t144_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5079 (all A all B (m1_pboole(B,A) -> (v3_relat_1(B) <-> r6_pboole(A,B,k1_pboole(A))))) # label(t141_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5080 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> -(r4_pboole(A,B,C) & r6_pboole(A,k3_pboole(A,B,C),k1_pboole(A))))))))) # label(t139_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5081 (exists A ((all B (m1_subset_1(B,f1_s5_pboole) -> k1_funct_1(A,B) = f2_s5_pboole(B))) & m1_pboole(A,f1_s5_pboole))) # label(s5_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5082 (all A all B all C all D (m1_pboole(D,B) & v2_relat_1(D) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) & -v1_xboole_0(B) -> v2_relat_1(k8_pboole(A,B,C,D)) & m1_pboole(k8_pboole(A,B,C,D),A))) # label(dt_k8_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5083 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r4_pboole(A,B,D) | r4_pboole(A,B,C) -> r4_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t106_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5084 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> k2_pboole(A,C,B) = k2_pboole(A,B,C))) # label(commutativity_k2_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5085 (all A all B all C all D (-v1_xboole_0(B) & v1_funct_1(C) & m1_pboole(D,B) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) -> m1_pboole(k7_pboole(A,B,C,D),A))) # label(dt_k7_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5086 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k4_pboole(A,B,B),k1_pboole(A)))) # label(t64_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5087 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r1_pboole(A,B,C) & r2_pboole(A,C,D) -> r1_pboole(A,B,D)))))))) # label(t9_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5088 $T # label(t31_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5089 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k3_pboole(A,B,k4_pboole(A,C,D)),k4_pboole(A,k3_pboole(A,B,C),k3_pboole(A,B,D))))))))) # label(t87_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5090 (all A all B (m1_pboole(B,A) -> (v2_relat_1(B) <-> v2_pboole(B,A)))) # label(redefinition_v2_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5091 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r5_pboole(A,B,k4_pboole(A,C,B)))))) # label(t118_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5092 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r2_pboole(A,D,E) & r4_pboole(A,B,D) & r2_pboole(A,B,C) -> r4_pboole(A,C,E)))))))))) # label(t110_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5093 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,k5_pboole(A,B,C),D),k2_pboole(A,k4_pboole(A,B,k2_pboole(A,C,D)),k4_pboole(A,C,k2_pboole(A,B,D)))))))))) # label(t96_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5094 (all A all B (m1_pboole(B,A) -> v1_relat_1(B) & v1_funct_1(B))) # label(dt_m1_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5095 (all A all B k2_funcop_1(A,B) = k10_pboole(A,B)) # label(redefinition_k10_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5096 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> m1_pboole(k5_pboole(A,B,C),A))) # label(dt_k5_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5097 (all A exists B (v1_relat_1(B) & v1_funct_1(B) & v3_relat_1(B) & m1_pboole(B,A))) # label(rc2_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5098 (all A all B (m1_pboole(B,A) -> (exists C m4_pboole(C,A,B)))) # label(existence_m4_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5099 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> -(B = k1_pboole(A) & r4_pboole(A,B,B)))))) # label(t140_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5100 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k3_pboole(A,B,k3_pboole(A,B,C)),k3_pboole(A,B,C)) & r6_pboole(A,k3_pboole(A,k3_pboole(A,B,C),C),k3_pboole(A,B,C)))))) # label(t48_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5101 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) & -v1_xboole_0(A) -> (r3_pboole(A,B,C) -> -r3_pboole(A,C,B)))) # label(antisymmetry_r3_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5102 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k3_pboole(A,B,k2_pboole(A,C,D)),k2_pboole(A,k3_pboole(A,B,C),k3_pboole(A,B,D))))))))) # label(t38_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5103 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) -> r2_pboole(A,k2_pboole(A,B,D),k2_pboole(A,C,D)) & r2_pboole(A,k2_pboole(A,D,B),k2_pboole(A,D,C))))))))) # label(t20_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5104 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r1_pboole(A,B,C) | r1_pboole(A,B,D) -> r1_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t7_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5105 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> -r3_pboole(A,B,k1_pboole(A)))))) # label(t136_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5106 (all A all B (m1_pboole(B,A) -> r2_pboole(A,k1_pboole(A),B))) # label(t49_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5107 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r5_pboole(A,k4_pboole(A,B,C),k4_pboole(A,C,B)))))) # label(t129_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5108 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (v3_relat_1(B) -> -v2_relat_1(B)))))) # label(cc2_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.69 5109 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k4_pboole(A,B,C),k5_pboole(A,B,C)))))) # label(t89_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5110 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r1_pboole(A,B,k3_pboole(A,C,D)) <-> r1_pboole(A,B,D) & r1_pboole(A,B,C)))))))) # label(t8_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5111 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(-r5_pboole(A,B,C) & r2_pboole(A,C,D) & r5_pboole(A,B,D)))))))) # label(t116_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5112 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (all C (m1_subset_1(C,k2_relat_1(B)) -> (exists D (C = k1_funct_1(B,D) & r2_hidden(D,A))))))))) # label(t150_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5113 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> (all D (m3_pboole(D,A,B,C) -> m1_pboole(D,A))))) # label(dt_m3_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5114 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,D) & r4_pboole(A,B,C) -> r4_pboole(A,B,k3_pboole(A,C,D))))))))) # label(t112_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5115 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k3_pboole(A,B,C),k5_pboole(A,B,k4_pboole(A,B,C))))))) # label(t101_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5116 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(r3_pboole(A,B,D) & k1_pboole(A) = k3_pboole(A,C,D) & r3_pboole(A,B,C)))))))))) # label(t137_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5117 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,B,k5_pboole(A,C,D)),k2_pboole(A,k4_pboole(A,B,k2_pboole(A,C,D)),k3_pboole(A,k3_pboole(A,B,C),D))))))))) # label(t97_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5118 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k4_pboole(A,B,C),B))))) # label(t62_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5119 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> (r6_pboole(A,B,C) <-> C = B))) # label(redefinition_r6_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5120 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (k4_pboole(A,B,C) = D <-> (all E (r2_hidden(E,A) -> k4_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E)) = k1_funct_1(D,E)))))))))) # label(d9_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5121 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) <-> r6_pboole(A,k4_pboole(A,B,C),k1_pboole(A))))))) # label(t58_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5122 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,D) & r4_pboole(A,B,C) -> r4_pboole(A,D,C)))))))) # label(t109_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5123 (all A all B (m1_pboole(B,A) & v2_relat_1(B) -> (exists C (m4_pboole(C,A,B) & v1_relat_1(C) & v1_funct_1(C) & v2_relat_1(C))))) # label(rc5_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5124 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k4_pboole(A,B,k1_pboole(A)),B))) # label(t65_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5125 (all A all B (m1_pboole(B,A) -> (all C (m2_pboole(C,A,B) -> m1_pboole(C,A))))) # label(dt_m2_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5126 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r5_pboole(A,B,C) -> r6_pboole(A,k4_pboole(A,k2_pboole(A,B,C),C),B)))))) # label(t127_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5127 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> k5_pboole(A,B,C) = k2_pboole(A,k4_pboole(A,B,C),k4_pboole(A,C,B)))))) # label(d12_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5128 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,B,C),k2_pboole(A,k5_pboole(A,B,C),k3_pboole(A,B,C))))))) # label(t94_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5129 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,B,k3_pboole(A,B,C)),k4_pboole(A,B,C)) & r6_pboole(A,k4_pboole(A,B,k3_pboole(A,C,B)),k4_pboole(A,B,C)))))) # label(t76_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5130 $T # label(t107_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5131 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,C,B) & v3_relat_1(B) -> v3_relat_1(C)))))) # label(t142_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5132 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k3_pboole(A,B,k4_pboole(A,C,D)),k4_pboole(A,k3_pboole(A,B,C),D)))))))) # label(t68_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5133 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r6_pboole(A,k2_pboole(A,k3_pboole(A,B,C),k3_pboole(A,B,D)),B) -> r2_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t40_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5134 (all A -((all B -p1_s3_pboole(A,B)) & r2_hidden(A,f1_s3_pboole))) -> (exists A (m1_pboole(A,f1_s3_pboole) & (all B (r2_hidden(B,f1_s3_pboole) -> p1_s3_pboole(B,k1_funct_1(A,B)))))) # label(s3_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5135 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r4_pboole(A,B,C) <-> (all D -(r2_hidden(D,A) & r1_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D))))))))) # label(d10_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5136 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r5_pboole(A,k3_pboole(A,B,C),k4_pboole(A,B,C)))))) # label(t119_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5137 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> m1_pboole(k12_pboole(A,B,C),A))) # label(dt_k12_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5138 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r5_pboole(A,B,C) <-> (all D (r2_hidden(D,A) -> r1_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D))))))))) # label(d11_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5139 (all A all B all C (m1_pboole(C,A) & v1_funcop_1(C) & m1_pboole(B,A) -> m1_pboole(k14_pboole(A,B,C),A))) # label(dt_k14_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5140 (all A (m1_pboole(A,k1_xboole_0) -> A = k1_xboole_0)) # label(t134_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5141 (all A all B (m1_pboole(B,A) -> ((all C (r2_hidden(C,A) -> k1_xboole_0 = k1_funct_1(B,C))) -> k1_pboole(A) = B))) # label(t6_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5142 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r4_pboole(A,B,C) & r2_pboole(A,C,D) -> r4_pboole(A,B,D)))))))) # label(t108_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5143 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (v2_relat_1(B) -> -v3_relat_1(B)))))) # label(cc1_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5144 (all A (m2_relset_1(k9_pboole(A),k5_numbers,k3_finseq_2(k1_tarski(A))) & v1_funct_2(k9_pboole(A),k5_numbers,k3_finseq_2(k1_tarski(A))) & v1_funct_1(k9_pboole(A)))) # label(dt_k9_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5145 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) -> r2_pboole(A,k4_pboole(A,D,C),k4_pboole(A,D,B))))))))) # label(t60_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5146 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,B,k2_pboole(A,C,D)),k3_pboole(A,k4_pboole(A,B,C),k4_pboole(A,B,D))))))))) # label(t85_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5147 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r5_pboole(A,B,C) -> r6_pboole(A,k3_pboole(A,B,C),k1_pboole(A))))))) # label(t121_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5148 (all A all B (v1_funct_1(k10_pboole(A,B)) & v1_funct_2(k10_pboole(A,B),A,k1_tarski(B)) & m2_relset_1(k10_pboole(A,B),A,k1_tarski(B)))) # label(dt_k10_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5149 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> ((all E (r2_hidden(E,A) -> k1_funct_1(D,E) = k2_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E)))) <-> k2_pboole(A,B,C) = D))))))) # label(d7_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5150 (all A all B (m1_pboole(B,A) -> ((all C -(r2_hidden(C,A) & v1_xboole_0(k1_funct_1(B,C)))) <-> v2_relat_1(B)))) # label(d16_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5151 (all A (-v1_xboole_0(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C all D (m1_pboole(D,k1_tarski(C)) -> (D = k2_funcop_1(k1_tarski(C),A) -> k1_funct_1(k7_pboole(k5_numbers,k3_finseq_2(k1_tarski(C)),k9_pboole(C),k6_pboole(k1_tarski(C),D)),B) = k1_funct_2(k2_finseq_1(B),A)))))))) # label(t153_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5152 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> k3_pboole(A,C,B) = k3_pboole(A,B,C))) # label(commutativity_k3_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5153 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r5_pboole(A,k3_pboole(A,B,C),k5_pboole(A,B,C)))))) # label(t120_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5154 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) & r2_pboole(A,B,D) -> r2_pboole(A,B,k3_pboole(A,C,D))))))))) # label(t19_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5155 $T # label(t33_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5156 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> ((all E (r2_hidden(E,A) -> k1_funct_1(D,E) = k2_zfmisc_1(k1_funct_1(B,E),k1_funct_1(C,E)))) <-> D = k11_pboole(A,B,C)))))))) # label(d21_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5157 (all A all B (m1_pboole(B,A) -> m1_pboole(k6_pboole(A,B),k3_finseq_2(A)))) # label(dt_k6_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5158 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,k3_pboole(A,B,C),D),k3_pboole(A,k4_pboole(A,B,D),k4_pboole(A,C,D))))))))) # label(t80_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5159 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r1_pboole(A,B,k4_pboole(A,C,D)) -> r1_pboole(A,B,C)))))))) # label(t12_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5160 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,B,C),k5_pboole(A,C,k2_pboole(A,C,B))))))) # label(t103_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5161 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,B,k4_pboole(A,B,C)),k3_pboole(A,B,C)))))) # label(t74_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5162 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,k2_pboole(A,B,C),k3_pboole(A,B,C)),k2_pboole(A,k4_pboole(A,B,C),k4_pboole(A,C,B))))))) # label(t83_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5163 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,k4_pboole(A,C,B)) -> r6_pboole(A,B,k1_pboole(A))))))) # label(t63_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5164 (all A all B (v1_funct_1(B) & v1_funct_2(B,k5_numbers,k3_finseq_2(k1_tarski(A))) & m2_relset_1(B,k5_numbers,k3_finseq_2(k1_tarski(A))) -> (k9_pboole(A) = B <-> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,k3_finseq_2(k1_tarski(A)),B,C) = k2_finseq_2(C,A)))))) # label(d20_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5165 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (v2_relat_1(D) & m1_pboole(D,A) -> ((all E (m1_pboole(E,A) -> (r1_pboole(A,E,C) & r1_pboole(A,E,B) <-> r1_pboole(A,E,D)))) -> r6_pboole(A,D,k3_pboole(A,B,C))))))))) # label(t148_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5166 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k5_pboole(A,B,C),k4_pboole(A,k2_pboole(A,B,C),k3_pboole(A,B,C))))))) # label(t95_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5167 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,C,D) & r2_pboole(A,B,C) -> r2_pboole(A,B,D)))))))) # label(t15_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5168 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_pboole(A,B,C),k5_pboole(A,k5_pboole(A,B,C),k3_pboole(A,B,C))))))) # label(t104_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5169 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_relat_1(A) -> v1_setfam_1(k2_relat_1(A))))) # label(t1_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5170 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v2_relat_1(B) & r2_pboole(A,B,C) -> v2_relat_1(C)))))) # label(t143_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5171 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> -r4_pboole(A,k1_pboole(A),B) & -r4_pboole(A,B,k1_pboole(A)))))) # label(t138_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5172 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) -> r6_pboole(A,k3_pboole(A,C,B),B) & r6_pboole(A,k3_pboole(A,B,C),B)))))) # label(t25_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5173 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (r2_hidden(D,A) -> k1_funct_1(k5_pboole(A,B,C),D) = k5_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D)))))))) # label(t4_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5174 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) -> r6_pboole(A,C,k2_pboole(A,k4_pboole(A,C,B),B)) & r6_pboole(A,C,k2_pboole(A,B,k4_pboole(A,C,B)))))))) # label(t72_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5175 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> -(r4_pboole(A,B,C) & r5_pboole(A,B,C)))))))) # label(t135_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5176 $T # label(t30_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5177 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> (all D (m3_pboole(D,A,B,C) -> v1_funcop_1(D))))) # label(cc3_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5178 $T # label(t14_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5179 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r4_pboole(A,B,k4_pboole(A,C,D)) -> r4_pboole(A,C,k4_pboole(A,B,D))))))))) # label(t115_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5180 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> (r5_pboole(A,B,C) -> r5_pboole(A,C,B)))) # label(symmetry_r5_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5181 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,C,B) <-> m4_pboole(C,A,B)))))) # label(d23_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5182 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,k4_pboole(A,B,C),D),k4_pboole(A,B,k2_pboole(A,C,D))))))))) # label(t79_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5183 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> m1_pboole(k2_pboole(A,B,C),A))) # label(dt_k2_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5184 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r2_pboole(A,B,C) & r2_pboole(A,D,E) -> r2_pboole(A,k4_pboole(A,B,E),k4_pboole(A,C,D))))))))))) # label(t61_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5185 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k5_pboole(A,B,k1_pboole(A)),B) & r6_pboole(A,k5_pboole(A,k1_pboole(A),B),B))) # label(t91_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5186 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,k2_pboole(A,B,C),C),k4_pboole(A,B,C)))))) # label(t81_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5187 (exists A (m1_pboole(A,f1_s2_pboole) & (all B (r2_hidden(B,f1_s2_pboole) -> (all C (r2_hidden(C,k1_funct_1(A,B)) <-> r2_hidden(C,k1_funct_1(f2_s2_pboole,B)) & p1_s2_pboole(B,C))))))) # label(s2_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5188 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k2_pboole(A,k2_pboole(A,k3_pboole(A,B,C),k3_pboole(A,C,D)),k3_pboole(A,D,B)),k3_pboole(A,k3_pboole(A,k2_pboole(A,B,C),k2_pboole(A,C,D)),k2_pboole(A,D,B))))))))) # label(t42_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5189 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) -> k3_pboole(A,B,B) = B)) # label(idempotence_k3_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5190 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k3_pboole(A,B,C),C) & r2_pboole(A,k3_pboole(A,B,C),B))))) # label(t17_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5191 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r7_pboole(A,B,C) & r7_pboole(A,C,D) -> r7_pboole(A,B,D)))))))) # label(t132_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5192 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) -> r2_pboole(A,k4_pboole(A,B,D),k4_pboole(A,C,D))))))))) # label(t59_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5193 (all A all B (m1_pboole(B,A) -> (all C (v1_funcop_1(C) & m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (D = k14_pboole(A,B,C) <-> (all E (r2_hidden(E,A) -> k9_relat_1(k1_funct_1(C,E),k1_funct_1(B,E)) = k1_funct_1(D,E)))))))))) # label(d25_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5194 (all A m1_pboole(k1_pboole(A),A)) # label(dt_k1_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5195 (all A (v3_relat_1(k1_pboole(A)) & v1_funct_1(k1_pboole(A)) & v1_relat_1(k1_pboole(A)))) # label(fc3_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5196 (all A all B all C (m1_subset_1(C,A) & m1_pboole(B,A) & v2_relat_1(B) & -v1_xboole_0(A) -> -v1_xboole_0(k1_funct_1(B,C)))) # label(fc2_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5197 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v3_relat_1(A) <-> k1_tarski(k1_xboole_0) = k2_relat_1(A) | k1_xboole_0 = A))) # label(t2_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5198 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> ((all E (r2_hidden(E,A) -> k1_funct_1(D,E) = k3_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E)))) <-> D = k3_pboole(A,B,C)))))))) # label(d8_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5199 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r2_pboole(A,B,C) & r2_pboole(A,D,E) -> r2_pboole(A,k3_pboole(A,B,D),k3_pboole(A,C,E))))))))))) # label(t23_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5200 (all A all B all C all D (-v1_xboole_0(B) & m1_relset_1(C,A,B) & m1_pboole(D,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> k7_pboole(A,B,C,D) = k5_relat_1(C,D))) # label(redefinition_k7_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5201 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) -> r6_pboole(A,k2_pboole(A,B,C),C) & r6_pboole(A,k2_pboole(A,C,B),C)))))) # label(t24_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5202 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) -> (all B (v1_relat_1(B) & v1_funcop_1(B) & v1_funct_1(B) -> (all C (v1_funcop_1(C) & v1_funct_1(C) & v1_relat_1(C) -> (C = k13_pboole(A,B) <-> (all D (r2_hidden(D,k1_relat_1(C)) -> k5_relat_1(k1_funct_1(A,D),k1_funct_1(B,D)) = k1_funct_1(C,D))) & k1_relat_1(C) = k3_xboole_0(k1_relat_1(A),k1_relat_1(B))))))))) # label(d24_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5203 (exists A (v1_funct_1(A) & v3_relat_1(A) & v1_relat_1(A))) # label(rc1_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5204 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r4_pboole(A,B,k3_pboole(A,C,D)) -> r4_pboole(A,B,D) & r4_pboole(A,B,C)))))))) # label(t111_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5205 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> m1_pboole(k11_pboole(A,B,C),A))) # label(dt_k11_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5206 (all A all B (v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(B) & v1_funcop_1(B) & v1_funct_1(B) & v1_relat_1(A) -> v1_relat_1(k13_pboole(A,B)) & v1_funcop_1(k13_pboole(A,B)) & v1_funct_1(k13_pboole(A,B)))) # label(dt_k13_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5207 (all A all B (m1_pboole(B,A) & v2_relat_1(B) -> (exists C (r1_pboole(A,C,B) & m1_pboole(C,A))))) # label(t146_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5208 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k3_pboole(A,k1_pboole(A),B),k1_pboole(A)) & r6_pboole(A,k3_pboole(A,B,k1_pboole(A)),k1_pboole(A)))) # label(t55_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5209 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,k2_pboole(A,B,C),D),k2_pboole(A,k4_pboole(A,B,D),k4_pboole(A,C,D))))))))) # label(t78_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5210 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k4_pboole(A,B,C),k5_pboole(A,B,k3_pboole(A,B,C))))))) # label(t102_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5211 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,B) -> m1_pboole(C,A))))) # label(dt_m4_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5212 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,k3_pboole(A,C,D)) -> r2_pboole(A,B,C) & r2_pboole(A,B,D)))))))) # label(t44_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5213 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,k4_pboole(A,B,C),k4_pboole(A,C,B)) -> r6_pboole(A,B,C)))))) # label(t86_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5214 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) -> r2_pboole(A,k3_pboole(A,B,D),k3_pboole(A,C,D)) & r2_pboole(A,k3_pboole(A,D,B),k3_pboole(A,D,C))))))))) # label(t21_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5215 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,k2_pboole(A,C,D)) -> r2_pboole(A,k4_pboole(A,B,C),D) & r2_pboole(A,k4_pboole(A,B,D),C)))))))) # label(t82_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5216 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k3_pboole(A,B,k3_pboole(A,C,D)),k3_pboole(A,k3_pboole(A,B,C),k3_pboole(A,B,D))) & r6_pboole(A,k3_pboole(A,k3_pboole(A,B,C),D),k3_pboole(A,k3_pboole(A,B,D),k3_pboole(A,C,D))))))))) # label(t46_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5217 $T # label(t93_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5218 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r7_pboole(A,B,C) & v2_relat_1(B) -> v2_relat_1(C)))))) # label(t145_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5219 (all A -(k1_xboole_0 = f2_s1_pboole(A) & r2_hidden(A,f1_s1_pboole))) -> (exists A ((all B (r2_hidden(B,f1_s1_pboole) -> r2_hidden(k1_funct_1(A,B),f2_s1_pboole(B)))) & m1_pboole(A,f1_s1_pboole))) # label(s1_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5220 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> r6_pboole(A,k4_pboole(A,B,k4_pboole(A,C,D)),k2_pboole(A,k4_pboole(A,B,C),k3_pboole(A,B,D))))))))) # label(t70_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5221 (all A all B (m1_pboole(B,A) -> -(r5_pboole(A,B,B) & B != k1_pboole(A)))) # label(t122_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5222 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,k2_pboole(A,B,C),k1_pboole(A)) -> r6_pboole(A,C,k1_pboole(A)) & r6_pboole(A,B,k1_pboole(A))))))) # label(t54_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5223 (all A all B (m1_pboole(B,A) & v2_relat_1(B) -> -r2_hidden(k1_xboole_0,k2_relat_1(B)))) # label(t149_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5224 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> k1_funct_1(C,D) = k1_funct_1(B,D))) -> C = B))))) # label(t3_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5225 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r7_pboole(A,B,C) <-> (all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) -> r1_pboole(A,D,C))))))))) # label(d14_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5226 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> k5_pboole(A,C,B) = k5_pboole(A,B,C))) # label(commutativity_k5_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5227 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (k1_relat_1(B) = A <-> m1_pboole(B,A)))) # label(d3_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5228 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> m1_pboole(k3_pboole(A,B,C),A))) # label(dt_k3_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5229 $T # label(t90_pboole) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5230 (all A (v2_membered(A) -> ((exists B (v1_xreal_0(B) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B)))))) <-> v1_seq_4(A)))) # label(d1_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5231 (all A (v1_xreal_0(A) -> (all B (m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k7_xcmplx_0(np__1,k2_xcmplx_0(C,A)) = k8_funct_2(k5_numbers,k1_numbers,B,C))) -> r1_xreal_0(A,np__0) | np__0 = k2_seq_2(B)))))) # label(t44_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5232 (all A (v1_xreal_0(A) -> k1_tarski(A) = k1_seq_4(A))) # label(redefinition_k1_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5233 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (v4_seq_2(A) -> v4_seq_2(k22_seq_1(A))))) # label(t26_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5234 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (all C (v2_membered(C) -> ((all D (v1_xreal_0(D) -> (r2_hidden(D,C) -> r1_xreal_0(D,A)))) & (all D (v1_xreal_0(D) -> -((all E (v1_xreal_0(E) -> -(r2_hidden(E,C) & -r1_xreal_0(E,k6_xcmplx_0(A,D))))) & -r1_xreal_0(D,np__0)))) & (all D (v1_xreal_0(D) -> (r2_hidden(D,C) -> r1_xreal_0(D,B)))) & (all D (v1_xreal_0(D) -> -(-r1_xreal_0(D,np__0) & (all E (v1_xreal_0(E) -> -(r2_hidden(E,C) & -r1_xreal_0(E,k6_xcmplx_0(B,D)))))))) -> A = B))))))) # label(t17_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5235 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (all B (v1_funct_1(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) -> (v5_seqm_3(A) & v4_seq_2(B) -> k2_seq_2(k9_seq_1(A,B)) = k3_real_1(k8_funct_2(k5_numbers,k1_numbers,A,np__0),k2_seq_2(B)) & k4_real_1(k8_funct_2(k5_numbers,k1_numbers,A,np__0),k2_seq_2(B)) = k2_seq_2(k11_seq_1(A,B)) & k2_seq_2(k10_seq_1(B,A)) = k5_real_1(k2_seq_2(B),k8_funct_2(k5_numbers,k1_numbers,A,np__0)) & k5_real_1(k8_funct_2(k5_numbers,k1_numbers,A,np__0),k2_seq_2(B)) = k2_seq_2(k10_seq_1(A,B))))))) # label(t59_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5236 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> ((all B (v1_xreal_0(B) -> -((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (exists D (m2_subset_1(D,k1_numbers,k5_numbers) & r1_xreal_0(B,k18_complex1(k5_real_1(k8_funct_2(k5_numbers,k1_numbers,A,D),k8_funct_2(k5_numbers,k1_numbers,A,C)))) & r1_xreal_0(C,D))))) & -r1_xreal_0(B,np__0)))) <-> v4_seq_2(A)))) # label(t58_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5237 (all A (-v1_xboole_0(A) & v2_membered(A) -> (all B (v1_xreal_0(B) -> ((all C (v1_xreal_0(C) -> ((all D (v1_xreal_0(D) -> (r2_hidden(D,A) -> r1_xreal_0(D,C)))) -> r1_xreal_0(B,C)))) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B)))) -> B = k2_seq_4(A)))))) # label(t63_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5238 (all A (v2_membered(A) -> -(-v1_xboole_0(A) & (all B (v1_xreal_0(B) -> -((all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(B,C)))) & (all C (v1_xreal_0(C) -> -(-r1_xreal_0(C,np__0) & (all D (v1_xreal_0(D) -> -(-r1_xreal_0(k2_xcmplx_0(B,C),D) & r2_hidden(D,A)))))))))) & v2_seq_4(A)))) # label(t18_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5239 $T # label(t3_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5240 (all A (v1_xreal_0(A) -> k4_seq_4(k1_seq_4(A)) = k5_seq_4(k1_seq_4(A)))) # label(t23_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5241 $T # label(t13_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5242 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (all B (v1_funct_1(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) -> (v4_seq_2(B) & m1_seqm_3(A,B) -> k2_seq_2(A) = k2_seq_2(B)))))) # label(t30_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5243 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,k1_numbers,A,B) = k6_real_1(np__1,k1_nat_1(B,np__1)))) -> np__0 = k2_seq_2(A) & v4_seq_2(A)))) # label(t45_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5244 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k5_numbers,k1_numbers) & v1_funct_2(C,k5_numbers,k1_numbers) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,k1_numbers,C,D) = k7_xcmplx_0(B,k2_xcmplx_0(D,A)))) -> r1_xreal_0(A,np__0) | v4_seq_2(C) & k2_seq_2(C) = np__0))))))) # label(t46_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5245 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (v5_seqm_3(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k2_seq_2(A) = k8_funct_2(k5_numbers,k1_numbers,A,B)))))) # label(t41_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5246 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (v3_seq_4(A) -> v1_xboole_0(A) | r1_xreal_0(k5_seq_4(A),k4_seq_4(A))))) # label(t24_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5247 (all A (v1_xreal_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,k1_numbers,B,C) = k7_xcmplx_0(np__1,k2_xcmplx_0(k2_nat_1(C,C),A)))) -> r1_xreal_0(A,np__0) | v4_seq_2(B)))))) # label(t47_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5248 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> k5_seq_4(A) = k3_seq_4(A))) # label(redefinition_k5_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5249 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> -((all B (v1_funct_1(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) -> -(m1_seqm_3(B,A) & v4_seq_2(B)))) & v3_seq_2(A)))) # label(t57_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5250 (all A (v2_membered(A) -> -((all B (v1_xreal_0(B) -> -((all C (v1_xreal_0(C) -> -(-r1_xreal_0(C,np__0) & (all D (v1_xreal_0(D) -> -(r2_hidden(D,A) & -r1_xreal_0(D,k6_xcmplx_0(B,C)))))))) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B))))))) & v1_seq_4(A) & -v1_xboole_0(A)))) # label(t16_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5251 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (exists B (v1_funct_1(B) & v1_funct_2(B,k5_numbers,k1_numbers) & v7_seqm_3(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v6_seqm_3(k3_seqm_3(B,A)) & v1_seqm_3(B))))) # label(t56_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.70 5252 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> (v6_seqm_3(A) & v3_seq_2(A) -> v4_seq_2(A)))) # label(t53_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5253 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (v5_seqm_3(A) -> v4_seq_2(A)))) # label(t39_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5254 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,k1_numbers,A,B) = k6_real_1(np__1,k1_nat_1(k2_nat_1(B,B),np__1)))) -> np__0 = k2_seq_2(A) & v4_seq_2(A)))) # label(t49_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5255 $T # label(t2_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5256 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> (v2_seq_2(A) & v4_seqm_3(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> r1_xreal_0(k2_seq_2(A),k8_funct_2(k5_numbers,k1_numbers,A,B))))))) # label(t55_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5257 (all A (v1_xreal_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,k1_numbers,B,C) = k7_xcmplx_0(np__1,k2_xcmplx_0(k2_nat_1(C,C),A)))) -> np__0 = k2_seq_2(B) | r1_xreal_0(A,np__0)))))) # label(t48_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5258 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> m1_subset_1(k4_seq_4(A),k1_numbers))) # label(dt_k4_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5259 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (all B (v1_funct_1(B) & v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) -> (v4_seq_2(A) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> A != k1_seqm_3(B,C))) | v4_seq_2(B)))))) # label(t35_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5260 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) -> (v4_seq_2(A) -> k2_seq_2(B) = k2_seq_2(A) | (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k1_seqm_3(B,C) != A))))))) # label(t36_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5261 (all A (v1_xreal_0(A) -> v3_seq_4(k1_seq_4(A)))) # label(t15_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5262 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (v1_seq_4(A) & v2_seq_4(A) <-> v3_seq_4(A)))) # label(d3_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5263 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (v4_seq_2(k22_seq_1(A)) & k2_seq_2(k22_seq_1(A)) = np__0 -> v4_seq_2(A) & k2_seq_2(A) = np__0))) # label(t28_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5264 (all A (v2_membered(A) -> (v2_seq_4(A) -> (all B (v1_xreal_0(B) -> ((all C (v1_xreal_0(C) -> -((all D (v1_xreal_0(D) -> -(r2_hidden(D,A) & -r1_xreal_0(k2_xcmplx_0(B,C),D)))) & -r1_xreal_0(C,np__0)))) & (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(B,C)))) <-> B = k3_seq_4(A)))) | v1_xboole_0(A)))) # label(d5_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5265 (all A (-v1_xboole_0(A) & v2_membered(A) -> (all B (v1_xreal_0(B) -> (all C (v1_xreal_0(C) -> ((all D (v1_xreal_0(D) -> (r2_hidden(D,A) -> r1_xreal_0(D,C)))) -> r1_xreal_0(k2_seq_4(A),C)))))))) # label(t62_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5266 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> -(v4_seq_2(A) & k2_seq_2(A) != np__0 & (all B (m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> -(m1_seqm_3(B,A) & v2_relat_1(B))))))) # label(t38_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5267 $T # label(t6_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5268 $T # label(t21_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5269 (all A (v2_membered(A) & -v1_xboole_0(A) -> (all B (v2_membered(B) -> (r1_tarski(A,B) & v1_seq_4(B) -> r1_xreal_0(k2_seq_4(A),k2_seq_4(B))))))) # label(t65_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5270 (all A (v1_xreal_0(A) -> k5_seq_4(k1_seq_4(A)) = A & k4_seq_4(k1_seq_4(A)) = A)) # label(t22_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5271 $T # label(t20_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5272 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_funct_1(B) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) -> (v4_seq_2(B) -> v4_seq_2(k1_seqm_3(B,A)) & k2_seq_2(k1_seqm_3(B,A)) = k2_seq_2(B)))))) # label(t33_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5273 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (v2_seq_2(A) & v4_seqm_3(A) -> v4_seq_2(A)))) # label(t52_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5274 $T # label(t11_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5275 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> -(v4_seq_2(A) & k2_seq_2(A) != np__0 & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -v2_relat_1(k1_seqm_3(A,B))))))) # label(t37_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5276 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k5_numbers,k1_numbers) & m2_relset_1(C,k5_numbers,k1_numbers) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,k1_numbers,C,D) = k7_xcmplx_0(B,k2_xcmplx_0(k2_nat_1(D,D),A)))) -> r1_xreal_0(A,np__0) | k2_seq_2(C) = np__0 & v4_seq_2(C)))))))) # label(t50_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5277 (all A (m1_relset_1(A,k5_numbers,k1_numbers) -> (v5_seqm_3(A) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> v4_seq_2(A) & v1_seq_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A)))) # label(cc1_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5278 $T # label(t12_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5279 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> k4_seq_4(A) = k2_seq_4(A))) # label(redefinition_k4_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5280 $T # label(t4_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5281 (all A (v1_xreal_0(A) -> (all B (v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> (v5_seqm_3(B) & r2_hidden(A,k2_relat_1(B)) | (exists C (k8_funct_2(k5_numbers,k1_numbers,B,C) = A & m2_subset_1(C,k1_numbers,k5_numbers))) & v5_seqm_3(B) -> k2_seq_2(B) = A))))) # label(t40_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5282 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (v3_seq_4(A) -> v1_xboole_0(A) | -(r1_xreal_0(k4_seq_4(A),k5_seq_4(A)) & (exists B (v1_xreal_0(B) & (exists C (r2_hidden(B,A) & r2_hidden(C,A) & C != B & v1_xreal_0(C)))))) & -(-r1_xreal_0(k4_seq_4(A),k5_seq_4(A)) & (all B (v1_xreal_0(B) -> (all C (v1_xreal_0(C) -> -(B != C & r2_hidden(C,A) & r2_hidden(B,A)))))))))) # label(t25_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5283 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (v3_seqm_3(A) & v1_seq_2(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> r1_xreal_0(k8_funct_2(k5_numbers,k1_numbers,A,B),k2_seq_2(A))))))) # label(t54_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5284 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (v4_seq_2(A) -> np__0 = k2_seq_2(A) | (all B (v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> (m1_seqm_3(B,A) & v2_relat_1(B) -> k2_seq_2(k18_seq_1(B)) = k2_real_1(k2_seq_2(A)))))))) # label(t42_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5285 (all A (v1_xreal_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_numbers)) -> ((all C (v1_xreal_0(C) -> (r2_hidden(C,B) -> r2_hidden(k2_xcmplx_0(C,A),B)))) -> r1_xreal_0(A,np__0) | (all C (v1_xreal_0(C) -> -r2_hidden(C,B))) | (all C (v1_xreal_0(C) -> (exists D (-r1_xreal_0(D,C) & r2_hidden(D,B) & v1_xreal_0(D)))))))))) # label(t9_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5286 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) -> (v4_seq_2(A) -> k18_complex1(k2_seq_2(A)) = k2_seq_2(k22_seq_1(A))))) # label(t27_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5287 (all A (v2_membered(A) -> v1_xreal_0(k3_seq_4(A)))) # label(dt_k3_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5288 $T # label(t34_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5289 (all A (v1_funct_1(A) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) -> (v3_seqm_3(A) & v1_seq_2(A) -> v4_seq_2(A)))) # label(t51_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5290 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (all C (v2_membered(C) -> ((all D (v1_xreal_0(D) -> -((all E (v1_xreal_0(E) -> -(r2_hidden(E,C) & -r1_xreal_0(k2_xcmplx_0(B,D),E)))) & -r1_xreal_0(D,np__0)))) & (all D (v1_xreal_0(D) -> (r2_hidden(D,C) -> r1_xreal_0(B,D)))) & (all D (v1_xreal_0(D) -> -(-r1_xreal_0(D,np__0) & (all E (v1_xreal_0(E) -> -(r2_hidden(E,C) & -r1_xreal_0(k2_xcmplx_0(A,D),E))))))) & (all D (v1_xreal_0(D) -> (r2_hidden(D,C) -> r1_xreal_0(A,D)))) -> A = B))))))) # label(t19_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5291 (all A (v1_xreal_0(A) -> (all B (m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,k1_numbers,B,C) = k7_xcmplx_0(np__1,k2_xcmplx_0(C,A)))) -> v4_seq_2(B) | r1_xreal_0(A,np__0)))))) # label(t43_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5292 (all A (v1_xreal_0(A) -> -(all B (m2_subset_1(B,k1_numbers,k5_numbers) -> r1_xreal_0(B,A))))) # label(t10_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5293 $T # label(t1_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5294 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) -> (v4_seq_2(A) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (exists D (m2_subset_1(D,k1_numbers,k5_numbers) & r1_xreal_0(C,D) & k8_funct_2(k5_numbers,k1_numbers,B,D) != k8_funct_2(k5_numbers,k1_numbers,A,D))))) | k2_seq_2(B) = k2_seq_2(A)))))) # label(t32_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5295 (all A (v1_xreal_0(A) -> m1_subset_1(k1_seq_4(A),k1_zfmisc_1(k1_numbers)))) # label(dt_k1_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5296 (all A (v2_membered(A) -> v1_xreal_0(k2_seq_4(A)))) # label(dt_k2_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5297 (all A (v1_funct_2(A,k5_numbers,k1_numbers) & m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (all B (m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_2(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> (m1_seqm_3(A,B) & v4_seq_2(B) -> v4_seq_2(A)))))) # label(t29_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5298 (all A (v2_membered(A) -> (v2_seq_4(A) <-> (exists B ((all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(B,C)))) & v1_xreal_0(B)))))) # label(d2_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5299 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> ((exists B ((all C (v1_xreal_0(C) -> -(r1_xreal_0(B,k18_complex1(C)) & r2_hidden(C,A)))) & -r1_xreal_0(B,np__0) & v1_xreal_0(B))) <-> v3_seq_4(A)))) # label(t14_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5300 (all A (v1_xreal_0(A) -> (all B (v2_membered(B) & -v1_xboole_0(B) -> ((all C (v1_xreal_0(C) -> ((all D (v1_xreal_0(D) -> (r2_hidden(D,B) -> r1_xreal_0(C,D)))) -> r1_xreal_0(C,A)))) & (all C (v1_xreal_0(C) -> (r2_hidden(C,B) -> r1_xreal_0(A,C)))) -> k3_seq_4(B) = A))))) # label(t61_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5301 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_numbers)) -> -((all C (v1_xreal_0(C) -> (all D (v1_xreal_0(D) -> -(r1_xreal_0(D,C) & r2_hidden(D,B) & r2_hidden(C,A)))))) & (all C (v1_xreal_0(C) -> (exists D ((exists E (r2_hidden(D,A) & r2_hidden(E,B) & -(r1_xreal_0(C,E) & r1_xreal_0(D,C)) & v1_xreal_0(E))) & v1_xreal_0(D)))))))))) # label(t8_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5302 (all A (v2_membered(A) & -v1_xboole_0(A) -> (all B (v1_xreal_0(B) -> ((all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(B,C)))) -> r1_xreal_0(B,k3_seq_4(A))))))) # label(t60_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5303 (all A (v2_membered(A) & -v1_xboole_0(A) -> (all B (v2_membered(B) -> (v2_seq_4(B) & r1_tarski(A,B) -> r1_xreal_0(k3_seq_4(B),k3_seq_4(A))))))) # label(t64_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5304 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> m1_subset_1(k5_seq_4(A),k1_numbers))) # label(dt_k5_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5305 (all A (v2_membered(A) -> (v1_seq_4(A) -> v1_xboole_0(A) | (all B (v1_xreal_0(B) -> ((all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B)))) & (all C (v1_xreal_0(C) -> -((all D (v1_xreal_0(D) -> -(r2_hidden(D,A) & -r1_xreal_0(D,k6_xcmplx_0(B,C))))) & -r1_xreal_0(C,np__0)))) <-> k2_seq_4(A) = B)))))) # label(d4_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5306 (all A (m2_relset_1(A,k5_numbers,k1_numbers) & v1_funct_2(A,k5_numbers,k1_numbers) & v1_funct_1(A) -> (all B (v1_funct_2(B,k5_numbers,k1_numbers) & m2_relset_1(B,k5_numbers,k1_numbers) & v1_funct_1(B) -> (v4_seq_2(A) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (exists D (m2_subset_1(D,k1_numbers,k5_numbers) & r1_xreal_0(C,D) & k8_funct_2(k5_numbers,k1_numbers,B,D) != k8_funct_2(k5_numbers,k1_numbers,A,D))))) | v4_seq_2(B)))))) # label(t31_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5307 $T # label(t7_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5308 $T # label(t5_seq_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5309 (all A all B all C all D all E all F all G all H (-v1_xboole_0(B) & -v1_xboole_0(C) & v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(A,B,C),D) & m1_relset_1(E,k3_zfmisc_1(A,B,C),D) & m1_subset_1(F,A) & m1_subset_1(G,B) & m1_subset_1(H,C) & -v1_xboole_0(D) & -v1_xboole_0(A) -> k1_multop_1(E,F,G,H) = k2_multop_1(A,B,C,D,E,F,G,H))) # label(redefinition_k2_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5310 $T # label(t5_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5311 (exists A (v1_funct_1(A) & m2_relset_1(A,k3_zfmisc_1(f1_s3_multop_1,f2_s3_multop_1,f3_s3_multop_1),f4_s3_multop_1) & (all B (m1_subset_1(B,f1_s3_multop_1) -> (all C (m1_subset_1(C,f2_s3_multop_1) -> (all D (m1_subset_1(D,f3_s3_multop_1) -> f5_s3_multop_1(B,C,D) = k8_funct_2(k3_zfmisc_1(f1_s3_multop_1,f2_s3_multop_1,f3_s3_multop_1),f4_s3_multop_1,A,k4_domain_1(f1_s3_multop_1,f2_s3_multop_1,f3_s3_multop_1,B,C,D)))))))) & v1_funct_2(A,k3_zfmisc_1(f1_s3_multop_1,f2_s3_multop_1,f3_s3_multop_1),f4_s3_multop_1))) # label(s3_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5312 (all A (m1_subset_1(A,f1_s2_multop_1) -> (all B (m1_subset_1(B,f1_s2_multop_1) -> (all C (m1_subset_1(C,f1_s2_multop_1) -> (exists D (m1_subset_1(D,f1_s2_multop_1) & p1_s2_multop_1(A,B,C,D))))))))) -> (exists A (v1_funct_1(A) & m2_relset_1(A,k3_zfmisc_1(f1_s2_multop_1,f1_s2_multop_1,f1_s2_multop_1),f1_s2_multop_1) & (all B (m1_subset_1(B,f1_s2_multop_1) -> (all C (m1_subset_1(C,f1_s2_multop_1) -> (all D (m1_subset_1(D,f1_s2_multop_1) -> p1_s2_multop_1(B,C,D,k2_multop_1(f1_s2_multop_1,f1_s2_multop_1,f1_s2_multop_1,f1_s2_multop_1,A,B,C,D)))))))) & v1_funct_2(A,k3_zfmisc_1(f1_s2_multop_1,f1_s2_multop_1,f1_s2_multop_1),f1_s2_multop_1))) # label(s2_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5313 $T # label(dt_k3_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5314 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (v1_funct_2(E,k3_zfmisc_1(A,B,C),D) & m2_relset_1(E,k3_zfmisc_1(A,B,C),D) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,k3_zfmisc_1(A,B,C),D) & m2_relset_1(F,k3_zfmisc_1(A,B,C),D) -> ((all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,C) -> k2_multop_1(A,B,C,D,E,G,H,I) = k2_multop_1(A,B,C,D,F,G,H,I))))))) -> E = F))))))))))))) # label(t4_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5315 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m2_relset_1(E,k3_zfmisc_1(A,B,C),D) & v1_funct_2(E,k3_zfmisc_1(A,B,C),D) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,k3_zfmisc_1(A,B,C),D) & m2_relset_1(F,k3_zfmisc_1(A,B,C),D) -> ((all G (m1_subset_1(G,A) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,C) -> k8_funct_2(k3_zfmisc_1(A,B,C),D,F,k4_domain_1(A,B,C,G,H,I)) = k8_funct_2(k3_zfmisc_1(A,B,C),D,E,k4_domain_1(A,B,C,G,H,I)))))))) -> F = E))))))))))))) # label(t3_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5316 (all A (m1_subset_1(A,f1_s6_multop_1) -> (all B (m1_subset_1(B,f1_s6_multop_1) -> (all C (m1_subset_1(C,f1_s6_multop_1) -> (all D (m1_subset_1(D,f1_s6_multop_1) -> (exists E (p1_s6_multop_1(A,B,C,D,E) & m1_subset_1(E,f1_s6_multop_1))))))))))) -> (exists A (v1_funct_2(A,k4_zfmisc_1(f1_s6_multop_1,f1_s6_multop_1,f1_s6_multop_1,f1_s6_multop_1),f1_s6_multop_1) & m2_relset_1(A,k4_zfmisc_1(f1_s6_multop_1,f1_s6_multop_1,f1_s6_multop_1,f1_s6_multop_1),f1_s6_multop_1) & (all B (m1_subset_1(B,f1_s6_multop_1) -> (all C (m1_subset_1(C,f1_s6_multop_1) -> (all D (m1_subset_1(D,f1_s6_multop_1) -> (all E (m1_subset_1(E,f1_s6_multop_1) -> p1_s6_multop_1(B,C,D,E,k4_multop_1(f1_s6_multop_1,f1_s6_multop_1,f1_s6_multop_1,f1_s6_multop_1,f1_s6_multop_1,A,B,C,D,E)))))))))) & v1_funct_1(A))) # label(s6_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5317 (all A (m1_subset_1(A,f1_s1_multop_1) -> (all B (m1_subset_1(B,f2_s1_multop_1) -> (all C (m1_subset_1(C,f3_s1_multop_1) -> (exists D (m1_subset_1(D,f4_s1_multop_1) & p1_s1_multop_1(A,B,C,D))))))))) -> (exists A ((all B (m1_subset_1(B,f1_s1_multop_1) -> (all C (m1_subset_1(C,f2_s1_multop_1) -> (all D (m1_subset_1(D,f3_s1_multop_1) -> p1_s1_multop_1(B,C,D,k8_funct_2(k3_zfmisc_1(f1_s1_multop_1,f2_s1_multop_1,f3_s1_multop_1),f4_s1_multop_1,A,k4_domain_1(f1_s1_multop_1,f2_s1_multop_1,f3_s1_multop_1,B,C,D))))))))) & m2_relset_1(A,k3_zfmisc_1(f1_s1_multop_1,f2_s1_multop_1,f3_s1_multop_1),f4_s1_multop_1) & v1_funct_2(A,k3_zfmisc_1(f1_s1_multop_1,f2_s1_multop_1,f3_s1_multop_1),f4_s1_multop_1) & v1_funct_1(A))) # label(s1_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5318 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) & m2_relset_1(F,k4_zfmisc_1(A,B,C,D),E) -> (all G (v1_funct_1(G) & m2_relset_1(G,k4_zfmisc_1(A,B,C,D),E) & v1_funct_2(G,k4_zfmisc_1(A,B,C,D),E) -> ((all H (m1_subset_1(H,A) -> (all I (m1_subset_1(I,B) -> (all J (m1_subset_1(J,C) -> (all K (m1_subset_1(K,D) -> k4_multop_1(A,B,C,D,E,G,H,I,J,K) = k4_multop_1(A,B,C,D,E,F,H,I,J,K))))))))) -> G = F))))))))))))))) # label(t8_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5319 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (-v1_xboole_0(E) -> (all F (v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) & m2_relset_1(F,k4_zfmisc_1(A,B,C,D),E) & v1_funct_1(F) -> (all G (v1_funct_2(G,k4_zfmisc_1(A,B,C,D),E) & m2_relset_1(G,k4_zfmisc_1(A,B,C,D),E) & v1_funct_1(G) -> ((all H (m1_subset_1(H,A) -> (all I (m1_subset_1(I,B) -> (all J (m1_subset_1(J,C) -> (all K (m1_subset_1(K,D) -> k8_funct_2(k4_zfmisc_1(A,B,C,D),E,F,k5_domain_1(A,B,C,D,H,I,J,K)) = k8_funct_2(k4_zfmisc_1(A,B,C,D),E,G,k5_domain_1(A,B,C,D,H,I,J,K)))))))))) -> F = G))))))))))))))) # label(t7_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5320 $T # label(t1_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5321 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D all E k3_multop_1(A,B,C,D,E) = k1_funct_1(A,k4_mcart_1(B,C,D,E))))) # label(d2_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5322 (all A (-v1_xboole_0(A) -> (all B all C all D all E all F (v1_funct_1(F) & v1_funct_2(F,k4_zfmisc_1(B,C,D,E),A) & m2_relset_1(F,k4_zfmisc_1(B,C,D,E),A) -> (all G (m2_relset_1(G,k4_zfmisc_1(B,C,D,E),A) & v1_funct_2(G,k4_zfmisc_1(B,C,D,E),A) & v1_funct_1(G) -> ((all H all I all J all K (r2_hidden(H,B) & r2_hidden(I,C) & r2_hidden(K,E) & r2_hidden(J,D) -> k1_funct_1(F,k4_mcart_1(H,I,J,K)) = k1_funct_1(G,k4_mcart_1(H,I,J,K)))) -> F = G))))))) # label(t6_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5323 (all A all B all C all D all E all F all G all H all I all J (-v1_xboole_0(B) & -v1_xboole_0(D) & -v1_xboole_0(E) & v1_funct_1(F) & v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) & m1_relset_1(F,k4_zfmisc_1(A,B,C,D),E) & m1_subset_1(H,B) & m1_subset_1(J,D) & m1_subset_1(I,C) & m1_subset_1(G,A) & -v1_xboole_0(C) & -v1_xboole_0(A) -> m1_subset_1(k4_multop_1(A,B,C,D,E,F,G,H,I,J),E))) # label(dt_k4_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5324 (all A (-v1_xboole_0(A) -> (all B all C all D all E (v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(B,C,D),A) & m2_relset_1(E,k3_zfmisc_1(B,C,D),A) -> (all F (v1_funct_1(F) & v1_funct_2(F,k3_zfmisc_1(B,C,D),A) & m2_relset_1(F,k3_zfmisc_1(B,C,D),A) -> ((all G all H all I (r2_hidden(H,C) & r2_hidden(I,D) & r2_hidden(G,B) -> k1_funct_1(E,k3_mcart_1(G,H,I)) = k1_funct_1(F,k3_mcart_1(G,H,I)))) -> E = F))))))) # label(t2_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5325 (exists A (m2_relset_1(A,k4_zfmisc_1(f1_s8_multop_1,f1_s8_multop_1,f1_s8_multop_1,f1_s8_multop_1),f1_s8_multop_1) & (all B (m1_subset_1(B,f1_s8_multop_1) -> (all C (m1_subset_1(C,f1_s8_multop_1) -> (all D (m1_subset_1(D,f1_s8_multop_1) -> (all E (m1_subset_1(E,f1_s8_multop_1) -> f2_s8_multop_1(B,C,D,E) = k4_multop_1(f1_s8_multop_1,f1_s8_multop_1,f1_s8_multop_1,f1_s8_multop_1,f1_s8_multop_1,A,B,C,D,E))))))))) & v1_funct_2(A,k4_zfmisc_1(f1_s8_multop_1,f1_s8_multop_1,f1_s8_multop_1,f1_s8_multop_1),f1_s8_multop_1) & v1_funct_1(A))) # label(s8_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5326 (exists A (v1_funct_1(A) & v1_funct_2(A,k3_zfmisc_1(f1_s4_multop_1,f2_s4_multop_1,f3_s4_multop_1),f4_s4_multop_1) & (all B (m1_subset_1(B,f1_s4_multop_1) -> (all C (m1_subset_1(C,f2_s4_multop_1) -> (all D (m1_subset_1(D,f3_s4_multop_1) -> f5_s4_multop_1(B,C,D) = k2_multop_1(f1_s4_multop_1,f2_s4_multop_1,f3_s4_multop_1,f4_s4_multop_1,A,B,C,D))))))) & m2_relset_1(A,k3_zfmisc_1(f1_s4_multop_1,f2_s4_multop_1,f3_s4_multop_1),f4_s4_multop_1))) # label(s4_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5327 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D k1_funct_1(A,k3_mcart_1(B,C,D)) = k1_multop_1(A,B,C,D)))) # label(d1_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5328 (all A (m1_subset_1(A,f1_s5_multop_1) -> (all B (m1_subset_1(B,f2_s5_multop_1) -> (all C (m1_subset_1(C,f3_s5_multop_1) -> (all D (m1_subset_1(D,f4_s5_multop_1) -> (exists E (p1_s5_multop_1(A,B,C,D,E) & m1_subset_1(E,f5_s5_multop_1))))))))))) -> (exists A (v1_funct_1(A) & v1_funct_2(A,k4_zfmisc_1(f1_s5_multop_1,f2_s5_multop_1,f3_s5_multop_1,f4_s5_multop_1),f5_s5_multop_1) & m2_relset_1(A,k4_zfmisc_1(f1_s5_multop_1,f2_s5_multop_1,f3_s5_multop_1,f4_s5_multop_1),f5_s5_multop_1) & (all B (m1_subset_1(B,f1_s5_multop_1) -> (all C (m1_subset_1(C,f2_s5_multop_1) -> (all D (m1_subset_1(D,f3_s5_multop_1) -> (all E (m1_subset_1(E,f4_s5_multop_1) -> p1_s5_multop_1(B,C,D,E,k8_funct_2(k4_zfmisc_1(f1_s5_multop_1,f2_s5_multop_1,f3_s5_multop_1,f4_s5_multop_1),f5_s5_multop_1,A,k5_domain_1(f1_s5_multop_1,f2_s5_multop_1,f3_s5_multop_1,f4_s5_multop_1,B,C,D,E))))))))))))) # label(s5_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5329 (all A all B all C all D all E all F all G all H (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,k3_zfmisc_1(A,B,C),D) & m1_relset_1(E,k3_zfmisc_1(A,B,C),D) & m1_subset_1(G,B) & m1_subset_1(H,C) & m1_subset_1(F,A) -> m1_subset_1(k2_multop_1(A,B,C,D,E,F,G,H),D))) # label(dt_k2_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5330 (all A all B all C all D all E all F all G all H all I all J (-v1_xboole_0(A) & -v1_xboole_0(C) & -v1_xboole_0(D) & v1_funct_1(F) & v1_funct_2(F,k4_zfmisc_1(A,B,C,D),E) & m1_relset_1(F,k4_zfmisc_1(A,B,C,D),E) & m1_subset_1(I,C) & m1_subset_1(J,D) & m1_subset_1(H,B) & m1_subset_1(G,A) & -v1_xboole_0(E) & -v1_xboole_0(B) -> k4_multop_1(A,B,C,D,E,F,G,H,I,J) = k3_multop_1(F,G,H,I,J))) # label(redefinition_k4_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5331 $T # label(dt_k1_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5332 (exists A (v1_funct_1(A) & (all B (m1_subset_1(B,f1_s7_multop_1) -> (all C (m1_subset_1(C,f2_s7_multop_1) -> (all D (m1_subset_1(D,f3_s7_multop_1) -> (all E (m1_subset_1(E,f4_s7_multop_1) -> k8_funct_2(k4_zfmisc_1(f1_s7_multop_1,f2_s7_multop_1,f3_s7_multop_1,f4_s7_multop_1),f5_s7_multop_1,A,k5_domain_1(f1_s7_multop_1,f2_s7_multop_1,f3_s7_multop_1,f4_s7_multop_1,B,C,D,E)) = f6_s7_multop_1(B,C,D,E))))))))) & m2_relset_1(A,k4_zfmisc_1(f1_s7_multop_1,f2_s7_multop_1,f3_s7_multop_1,f4_s7_multop_1),f5_s7_multop_1) & v1_funct_2(A,k4_zfmisc_1(f1_s7_multop_1,f2_s7_multop_1,f3_s7_multop_1,f4_s7_multop_1),f5_s7_multop_1))) # label(s7_multop_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5333 (all A (-((all B all C -(B != C & r2_hidden(C,A) & r2_hidden(B,A))) & -v1_realset1(A)) & -(v1_realset1(A) & (exists B exists C (r2_hidden(C,A) & B != C & r2_hidden(B,A)))))) # label(t14_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5334 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (exists C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & (all D (r2_hidden(D,k2_zfmisc_1(B,B)) -> r2_hidden(k1_funct_1(C,D),B))) & v1_funct_1(C))))) # label(t8_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5335 (exists A (-v1_xboole_0(A) & -v1_realset1(A))) # label(rc2_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5336 $T # label(dt_m4_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5337 (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]. 26.28/25.71 5338 (all A all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_realset1(A,B,C) <-> (all D (r2_hidden(D,k2_zfmisc_1(C,C)) -> r2_hidden(k1_funct_1(B,D),C)))))))) # label(d1_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5339 (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]. 26.28/25.71 5340 (all A all B (m1_subset_1(B,A) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (m3_realset1(C,A,B) <-> (all D (r2_hidden(D,k2_zfmisc_1(k4_xboole_0(A,k1_tarski(B)),k4_xboole_0(A,k1_tarski(B)))) -> r2_hidden(k1_funct_1(C,D),k4_xboole_0(A,k1_tarski(B)))))))))) # label(d8_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5341 (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]. 26.28/25.71 5342 (all A all B (v1_relat_1(A) -> v1_relat_1(k1_realset1(A,B)))) # label(fc1_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5343 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m2_realset1(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A))))) # label(dt_m2_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5344 (all A (v1_realset1(A) <-> -((all B A != k1_tarski(B)) & -v1_xboole_0(A)))) # label(d4_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5345 (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) -> v1_funct_2(k2_realset1(A,B,C),k2_zfmisc_1(C,C),C) & m2_relset_1(k2_realset1(A,B,C),k2_zfmisc_1(C,C),C) & v1_funct_1(k2_realset1(A,B,C)))) # label(dt_k2_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5346 (exists A ((all B (m1_subset_1(B,A) -> -v1_xboole_0(k4_xboole_0(A,k1_tarski(B))))) & -v1_xboole_0(A))) # label(t5_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5347 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) -> (exists C ((all D (r2_hidden(D,k2_zfmisc_1(C,C)) -> r2_hidden(k1_funct_1(B,D),C))) & m1_subset_1(C,k1_zfmisc_1(A)))))) # label(t2_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5348 (all A (-v1_realset1(A) -> (all B ((exists C (m1_subset_1(C,A) & k1_tarski(C) = B)) <-> m4_realset1(B,A))))) # label(d10_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5349 (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]. 26.28/25.71 5350 (all A (-v1_xboole_0(A) -> -((all B (m1_subset_1(B,A) -> -v1_xboole_0(k4_xboole_0(A,k1_tarski(B))))) & v1_realset1(A)))) # label(t6_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5351 (all A all B (m1_subset_1(B,A) -> (all C (m3_realset1(C,A,B) -> v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C))))) # label(dt_m3_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5352 (all A all B (-v1_realset1(A) & m1_subset_1(B,A) -> k1_tarski(B) = k5_realset1(A,B))) # label(redefinition_k5_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5353 (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,k1_zfmisc_1(A)) -> ((all D (r2_hidden(D,k2_zfmisc_1(C,C)) -> r2_hidden(k1_funct_1(B,D),C))) <-> m1_realset1(C,A,B)))))) # label(d2_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5354 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m2_realset1(C,A,B) -> k1_realset1(C,B) = k3_realset1(A,B,C))))) # label(d7_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5355 $T # label(dt_k1_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5356 (all A all B all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (r2_hidden(B,k2_zfmisc_1(A,A)) -> r2_hidden(k1_funct_1(C,B),A)))) # label(t1_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5357 (all A all B (m1_subset_1(B,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(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))))) & v1_funct_2(C,k2_zfmisc_1(A,A),A))))) # label(t10_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5358 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> ((all D (r2_hidden(D,k2_zfmisc_1(B,B)) -> r2_hidden(k1_funct_1(C,D),B))) <-> m2_realset1(C,A,B)))))) # label(d6_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5359 (all A (-v1_realset1(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (all C (m1_subset_1(C,A) -> (r2_realset1(A,B,C) <-> m1_realset1(k4_xboole_0(A,k1_tarski(C)),A,B) & m2_relset_1(k4_xboole_0(k1_realset1(B,A),k1_tarski(C)),k2_zfmisc_1(k4_xboole_0(A,k1_tarski(C)),k4_xboole_0(A,k1_tarski(C))),k4_xboole_0(A,k1_tarski(C))) & v1_funct_2(k4_xboole_0(k1_realset1(B,A),k1_tarski(C)),k2_zfmisc_1(k4_xboole_0(A,k1_tarski(C)),k4_xboole_0(A,k1_tarski(C))),k4_xboole_0(A,k1_tarski(C))) & v1_funct_1(k4_xboole_0(k1_realset1(B,A),k1_tarski(C)))))))))) # label(d5_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.71 5360 (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]. 26.28/25.72 5361 (all A (v1_relat_1(A) -> (all B k1_realset1(A,B) = k7_relat_1(A,k2_zfmisc_1(B,B))))) # label(d3_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5362 (all A (-v1_xboole_0(A) -> (-v1_realset1(A) <-> (all B -v1_xboole_0(k4_xboole_0(A,k1_tarski(B))))))) # label(t4_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5363 (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]. 26.28/25.72 5364 (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]. 26.28/25.72 5365 (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]. 26.28/25.72 5366 (all A all B all C (m1_subset_1(B,A) & m3_realset1(C,A,B) & -v1_realset1(A) -> 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))) & v1_funct_1(k4_realset1(A,B,C)))) # label(dt_k4_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5367 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> -(-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))))))) & -(v1_realset1(B) & (exists C ((exists D (r2_hidden(C,B) & D != C & r2_hidden(D,B) & m1_subset_1(D,A))) & m1_subset_1(C,A)))))) # label(t15_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5368 (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]. 26.28/25.72 5369 (all A (v1_finset_1(k1_tarski(A)) & v1_realset1(k1_tarski(A)) & -v1_xboole_0(k1_tarski(A)))) # label(fc3_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5370 (all A (-v1_realset1(A) -> -v1_xboole_0(A))) # label(cc1_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5371 (exists A (v1_realset1(A) & -v1_xboole_0(A))) # label(rc1_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5372 (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_realset1(C,A,B) -> v1_funct_2(k1_realset1(B,C),k2_zfmisc_1(C,C),C) & m2_relset_1(k1_realset1(B,C),k2_zfmisc_1(C,C),C) & v1_funct_1(k1_realset1(B,C)))))) # label(t3_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5373 (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]. 26.28/25.72 5374 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_realset1(C,A,B) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> k2_realset1(A,B,C) = k1_realset1(B,C))) # label(redefinition_k2_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5375 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m2_realset1(C,A,B) -> v1_funct_1(k1_realset1(C,B)) & v1_funct_2(k1_realset1(C,B),k2_zfmisc_1(B,B),B) & m2_relset_1(k1_realset1(C,B),k2_zfmisc_1(B,B),B))))) # label(t9_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5376 (all A (-v1_realset1(A) -> (exists B m4_realset1(B,A)))) # label(existence_m4_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5377 (all A (-v1_realset1(A) -> (exists B (m4_realset1(B,A) & -v1_xboole_0(B))))) # label(rc3_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5378 (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) -> (exists C m1_realset1(C,A,B)))) # label(existence_m1_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5379 (all A (v1_finset_1(A) -> (-r1_xreal_0(np__2,k4_card_1(A)) <-> v1_realset1(A)))) # label(t13_realset1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5380 (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]. 26.28/25.72 5381 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(D,k1_funct_2(A,k1_funct_2(B,C))) -> k10_funct_6(k10_funct_6(D)) = D | k1_xboole_0 = B | k1_xboole_0 = A))) # label(t87_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5382 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> k3_funct_6(k10_finseq_1(A,B)) = k10_finseq_1(k2_relat_1(A),k2_relat_1(B)) & k10_finseq_1(k1_relat_1(A),k1_relat_1(B)) = k2_funct_6(k10_finseq_1(A,B)))))) # label(t34_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5383 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (B != k1_xboole_0 -> ((all C (r2_hidden(C,k1_relat_1(B)) -> r2_hidden(A,k1_funct_1(B,C)))) <-> r2_hidden(A,k4_funct_6(B)))))) # label(t37_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5384 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (k1_xboole_0 != A -> k2_relat_1(k4_funct_5(k2_funcop_1(A,B))) = k2_relat_1(B) & k2_relat_1(B) = k2_relat_1(k6_funct_5(k2_funcop_1(A,B)))))) # label(t18_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5385 (all A all B all C all D all E all F (v1_funct_1(F) & v1_relat_1(F) -> (r1_tarski(k1_relat_1(F),k2_zfmisc_1(D,E)) -> r2_hidden(F,k4_partfun1(k2_zfmisc_1(A,B),C)) | -r2_hidden(k5_funct_5(F),k4_partfun1(B,k4_partfun1(A,C))) & -r2_hidden(k3_funct_5(F),k4_partfun1(A,k4_partfun1(B,C)))))) # label(t25_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5386 (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)) & r2_hidden(B,k4_card_3(k2_funct_6(C))) -> k5_funct_6(C,A,k1_funct_1(B,A)) = k5_funct_6(k7_funct_6(C),B,A)))))) # label(t56_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5387 (all A (k1_xboole_0 = k3_card_3(k2_funcop_1(k1_xboole_0,A)) & k4_funct_6(k2_funcop_1(k1_xboole_0,A)) = k1_xboole_0)) # label(t42_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5388 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(C,k1_relat_1(D)) & r2_hidden(A,B) -> k1_funct_1(D,C) = k5_funct_6(k2_funcop_1(B,D),A,C)))) # label(t48_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5389 (all A (v1_relat_1(A) & v1_funct_1(A) -> k9_finseq_1(k2_relat_1(A)) = k3_funct_6(k9_finseq_1(A)) & k2_funct_6(k9_finseq_1(A)) = k9_finseq_1(k1_relat_1(A)))) # label(t33_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5390 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(B,k2_relat_1(C)) & (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(D,k2_relat_1(C)) -> r2_hidden(A,k1_relat_1(D))))) -> r2_hidden(A,k1_relat_1(k6_funct_6(C)))))))) # label(t53_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5391 (all A all B all C all D all E all F (v1_relat_1(F) & v1_funct_1(F) -> (r1_tarski(k1_relat_1(F),k2_zfmisc_1(D,E)) -> r2_hidden(F,k1_funct_2(k2_zfmisc_1(A,B),C)) | -r2_hidden(k3_funct_5(F),k1_funct_2(A,k1_funct_2(B,C))) & -r2_hidden(k5_funct_5(F),k1_funct_2(B,k1_funct_2(A,C)))))) # label(t21_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5392 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (A = k1_relat_1(C) & (all D (r2_hidden(D,A) -> r2_wellord2(k1_funct_1(B,D),k1_funct_1(C,D)))) & k1_relat_1(B) = A -> r2_wellord2(k4_card_3(B),k4_card_3(C))))))) # label(t69_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5393 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k2_funct_6(A)) & v1_funct_1(k2_funct_6(A)))) # label(dt_k2_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5394 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r1_tarski(k2_relat_1(k6_funct_5(k2_funcop_1(A,B))),k2_relat_1(B)) & k1_relat_1(k6_funct_5(k2_funcop_1(A,B))) = k2_zfmisc_1(k1_relat_1(B),A) & r1_tarski(k2_relat_1(k4_funct_5(k2_funcop_1(A,B))),k2_relat_1(B)) & k1_relat_1(k4_funct_5(k2_funcop_1(A,B))) = k2_zfmisc_1(A,k1_relat_1(B)))) # label(t17_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5395 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (r2_hidden(B,k1_relat_1(k10_funct_6(A))) -> v1_relat_1(k1_funct_1(k10_funct_6(A),B)) & v1_funct_1(k1_funct_1(k10_funct_6(A),B)))))) # label(t84_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5396 (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(B,A) = C -> k1_relat_1(C) = k1_funct_1(k2_funct_6(B),A) & k2_relat_1(C) = k1_funct_1(k3_funct_6(B),A) & r2_hidden(A,k1_relat_1(k3_funct_6(B))) & r2_hidden(A,k1_relat_1(k2_funct_6(B)))))))) # label(t31_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5397 $T # label(dt_k1_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5398 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(D,k1_funct_2(A,k1_funct_2(B,C))) -> r2_hidden(k4_funct_5(D),k1_funct_2(k2_zfmisc_1(A,B),C)) & r2_hidden(k6_funct_5(D),k1_funct_2(k2_zfmisc_1(B,A),C))))) # label(t20_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5399 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(A,k1_relat_1(B)) & C = k1_funct_1(B,A) -> r1_tarski(k2_relat_1(C),k2_relat_1(k6_funct_5(B))) & r1_tarski(k2_relat_1(C),k2_relat_1(k4_funct_5(B)))))))) # label(t16_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5400 (all A all B all C k10_finseq_1(k1_funct_2(A,B),k1_funct_2(A,C)) = k9_funct_6(A,k10_finseq_1(B,C))) # label(t81_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5401 (all A all B ((all C (r2_hidden(C,A) & v1_funct_1(C) & v1_relat_1(C) <-> r2_hidden(C,B))) <-> k1_funct_6(A) = B)) # label(d1_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5402 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k3_funct_6(A)) & v1_relat_1(k3_funct_6(A)))) # label(dt_k3_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5403 (all A (v1_funct_1(A) & v1_relat_1(A) -> k5_funct_5(k2_funct_4(A)) = k3_funct_5(A) & k4_funct_5(A) = k2_funct_4(k6_funct_5(A)))) # label(t13_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5404 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (v1_funct_1(k1_funct_1(B,A)) & v1_relat_1(k1_funct_1(B,A)) & r2_hidden(A,k1_relat_1(B)) <-> r2_hidden(A,k10_relat_1(B,k1_funct_6(k2_relat_1(B))))))) # label(t28_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5405 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(A,k1_relat_1(C)) & r2_hidden(B,k1_relat_1(D)) -> (all E all F (k10_finseq_1(E,F) = k1_funct_1(k7_funct_6(k10_finseq_1(C,D)),k10_finseq_1(A,B)) <-> k1_funct_1(k15_funct_3(C,D),k4_tarski(A,B)) = k4_tarski(E,F)))))))) # label(t68_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5406 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (A != k1_xboole_0 -> (all C (r2_hidden(C,k1_relat_1(B)) -> k2_funcop_1(A,k1_funct_1(B,C)) = k1_funct_1(k6_funct_6(k2_funcop_1(A,B)),C))) & k1_relat_1(k6_funct_6(k2_funcop_1(A,B))) = k1_relat_1(B)))) # label(t63_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5407 (all A k1_xboole_0 = k8_funct_6(k1_xboole_0,A)) # label(t73_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5408 $T # label(dt_k4_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5409 (all A (v1_relat_1(A) & v1_funct_1(A) -> k1_relat_1(k6_funct_6(A)) = k4_funct_6(k2_funct_6(A)) & r1_tarski(k2_relat_1(k6_funct_6(A)),k4_card_3(k3_funct_6(A))))) # label(t49_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5410 (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) -> (v2_funct_1(B) & (all D (r2_hidden(D,k1_relat_1(B)) -> r2_wellord2(k1_funct_1(A,D),k1_funct_1(C,k1_funct_1(B,D))))) & k1_relat_1(C) = k2_relat_1(B) & k1_relat_1(A) = k1_relat_1(B) -> r2_wellord2(k4_card_3(A),k4_card_3(C))))))))) # label(t70_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5411 (all A all B all C all D all E all F (v1_relat_1(F) & v1_funct_1(F) -> (k1_relat_1(F) = A & r1_tarski(k2_relat_1(F),k4_partfun1(D,E)) -> r2_hidden(F,k1_funct_2(A,k1_funct_2(B,C))) | -r2_hidden(k4_funct_5(F),k1_funct_2(k2_zfmisc_1(A,B),C)) & -r2_hidden(k6_funct_5(F),k1_funct_2(k2_zfmisc_1(B,A),C))))) # label(t22_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5412 (all A all B all C all D all E all F (v1_relat_1(F) & v1_funct_1(F) -> (r1_tarski(k2_relat_1(F),k4_partfun1(D,E)) & r1_tarski(k1_relat_1(F),A) -> r2_hidden(F,k4_partfun1(A,k4_partfun1(B,C))) | -r2_hidden(k4_funct_5(F),k4_partfun1(k2_zfmisc_1(A,B),C)) & -r2_hidden(k6_funct_5(F),k4_partfun1(k2_zfmisc_1(B,A),C))))) # label(t26_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5413 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (k9_funct_6(A,B) = C <-> (all D (r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(C,D) = k1_funct_2(A,k1_funct_1(B,D)))) & k1_relat_1(B) = k1_relat_1(C)))))) # label(d9_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5414 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> k4_card_3(k10_finseq_1(A,B)) = a_2_0_funct_6(A,B))))) # label(t5_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5415 (all A k1_xboole_0 = k9_funct_6(A,k1_xboole_0)) # label(t79_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5416 (all A (v1_relat_1(A) & v1_funct_1(A) -> r1_tarski(k4_card_3(A),k1_funct_2(k1_relat_1(A),k3_card_3(A))))) # label(t10_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5417 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) -> ((exists E exists F exists G (m1_subset_1(G,D) & k11_finseq_1(E,F,G) = A & m1_subset_1(F,C) & m1_subset_1(E,B))) <-> r2_hidden(A,a_3_0_funct_6(B,C,D))))) # label(fraenkel_a_3_0_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5418 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(A,k1_relat_1(B)) & r2_hidden(A,k1_relat_1(C)) -> (all D all E (k1_funct_1(k13_funct_3(B,C),A) = k4_tarski(D,E) <-> k10_finseq_1(D,E) = k1_funct_1(k6_funct_6(k10_finseq_1(B,C)),A)))))))) # label(t67_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5419 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(A,k1_relat_1(C)) & r2_hidden(B,k1_relat_1(D)) & D = k1_funct_1(C,A) -> k5_funct_6(C,A,B) = k1_funct_1(D,B)))))) # label(t44_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5420 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(D,k4_partfun1(k2_zfmisc_1(A,B),C)) -> r2_hidden(k3_funct_5(D),k4_partfun1(A,k4_partfun1(B,C))) & r2_hidden(k5_funct_5(D),k4_partfun1(B,k4_partfun1(A,C)))))) # label(t23_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5421 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> -(r2_hidden(A,k1_relat_1(k2_funct_4(B))) & (all C all D A != k4_tarski(C,D))))) # label(t11_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5422 (all A (v1_relat_1(A) & v1_funct_1(A) -> (-r2_hidden(k1_xboole_0,k2_relat_1(A)) -> ((all B (v1_funct_1(B) & v1_relat_1(B) -> (r2_hidden(B,k2_relat_1(A)) -> v2_funct_1(B)))) <-> v2_funct_1(k7_funct_6(A)))))) # label(t59_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5423 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(D,k1_funct_2(A,k1_funct_2(B,C))) -> k1_xboole_0 = B | (all E (v1_relat_1(E) & v1_funct_1(E) -> (all F (v1_relat_1(F) & v1_funct_1(F) -> (all G all H (r2_hidden(G,A) & k1_funct_1(D,G) = E & k1_funct_1(k10_funct_6(D),H) = F & r2_hidden(H,B) -> r1_tarski(k2_relat_1(E),C) & r1_tarski(k2_relat_1(F),C) & k1_relat_1(E) = B & A = k1_relat_1(F) & k1_funct_1(E,H) = k1_funct_1(F,G))))))) | k1_xboole_0 = A))) # label(t86_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5424 (all A all B all C k2_funcop_1(B,k1_funct_2(A,C)) = k9_funct_6(A,k2_funcop_1(B,C))) # label(t82_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5425 (all A all B all C (k4_funct_6(k11_finseq_1(A,B,C)) = k3_xboole_0(k3_xboole_0(A,B),C) & k3_card_3(k11_finseq_1(A,B,C)) = k2_xboole_0(k2_xboole_0(A,B),C))) # label(t41_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5426 (all A (v1_funcop_1(A) & v1_funct_1(A) & v1_relat_1(A) -> k1_relat_1(k3_funct_6(A)) = k1_relat_1(A))) # label(t90_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5427 (all A all B all C (k1_xboole_0 != k2_zfmisc_1(A,B) -> k2_funcop_1(B,k2_funcop_1(A,C)) = k5_funct_5(k2_funcop_1(k2_zfmisc_1(A,B),C)) & k2_funcop_1(A,k2_funcop_1(B,C)) = k3_funct_5(k2_funcop_1(k2_zfmisc_1(A,B),C)))) # label(t14_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5428 (all A all B (k4_funct_6(k10_finseq_1(A,B)) = k3_xboole_0(A,B) & k2_xboole_0(A,B) = k3_card_3(k10_finseq_1(A,B)))) # label(t40_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5429 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> k1_funct_6(k2_tarski(A,B)) = k2_tarski(A,B) & k1_enumset1(A,B,C) = k1_funct_6(k1_enumset1(A,B,C)) & k1_tarski(A) = k1_funct_6(k1_tarski(A)) & k1_funct_6(k1_xboole_0) = k1_xboole_0)))))) # label(t29_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5430 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (C = k1_funct_1(k6_funct_6(B),A) & r2_hidden(A,k1_relat_1(k6_funct_6(B))) -> (all D (r2_hidden(D,k1_relat_1(C)) -> r2_hidden(k4_tarski(D,A),k1_relat_1(k4_funct_5(B))) & k1_funct_1(k4_funct_5(B),k4_tarski(D,A)) = k1_funct_1(C,D))) & k1_relat_1(C) = k10_relat_1(B,k1_funct_6(k2_relat_1(B)))))))) # label(t51_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5431 (all A all B all C all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(D,k4_partfun1(A,k4_partfun1(B,C))) -> r2_hidden(k4_funct_5(D),k4_partfun1(k2_zfmisc_1(A,B),C)) & r2_hidden(k6_funct_5(D),k4_partfun1(k2_zfmisc_1(B,A),C))))) # label(t24_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5432 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k1_relat_1(k7_funct_6(k2_funcop_1(A,B))) = k1_funct_2(A,k1_relat_1(B)) & (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(C,k1_funct_2(A,k1_relat_1(B))) -> k5_relat_1(C,B) = k1_funct_1(k7_funct_6(k2_funcop_1(A,B)),C)))) & k2_relat_1(k7_funct_6(k2_funcop_1(A,B))) = k1_funct_2(A,k2_relat_1(B)))) # label(t66_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5433 (all A all B (k1_xboole_0 != A -> k4_funct_6(k2_funcop_1(A,B)) = B & B = k3_card_3(k2_funcop_1(A,B)))) # label(t43_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5434 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funcop_1(k10_funct_6(A)) & v1_funct_1(k10_funct_6(A)) & v1_relat_1(k10_funct_6(A)))) # label(dt_k10_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5435 (all A all B (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k8_funct_6(A,B)) & v1_funct_1(k8_funct_6(A,B)))) # label(dt_k8_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5436 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> k1_relat_1(k6_funct_6(k10_finseq_1(A,B))) = k3_xboole_0(k1_relat_1(A),k1_relat_1(B)) & (all C (r2_hidden(C,k3_xboole_0(k1_relat_1(A),k1_relat_1(B))) -> k10_finseq_1(k1_funct_1(A,C),k1_funct_1(B,C)) = k1_funct_1(k6_funct_6(k10_finseq_1(A,B)),C))))))) # label(t62_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5437 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k10_relat_1(A,k1_funct_6(k2_relat_1(A))) = k1_relat_1(B) & (all C (r2_hidden(C,k10_relat_1(A,k1_funct_6(k2_relat_1(A)))) -> k1_funct_1(B,C) = k2_funct_5(k1_funct_1(A,C)))) <-> B = k3_funct_6(A)))))) # label(d3_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5438 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(k6_funct_6(B))) -> v1_relat_1(k1_funct_1(k6_funct_6(B),A)) & v1_funct_1(k1_funct_1(k6_funct_6(B),A))))) # label(t50_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5439 (all A (v1_funct_1(A) & v1_relat_1(A) -> k6_funct_6(A) = k3_funct_5(k7_relat_1(k6_funct_5(A),k2_zfmisc_1(k4_funct_6(k2_funct_6(A)),k1_relat_1(A)))))) # label(d6_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5440 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k7_funct_6(A) = B <-> (all C (v1_relat_1(C) & v1_funct_1(C) -> -((all D (v1_relat_1(D) & v1_funct_1(D) -> -(D = k1_funct_1(B,C) & (all E (r2_hidden(E,k1_relat_1(D)) -> k1_funct_1(D,E) = k1_funct_1(k4_funct_5(A),k4_tarski(E,k1_funct_1(C,E))))) & k1_relat_1(D) = k10_relat_1(A,k1_funct_6(k2_relat_1(A)))))) & r2_hidden(C,k4_card_3(k2_funct_6(A)))))) & k4_card_3(k2_funct_6(A)) = k1_relat_1(B)))))) # label(d7_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5441 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(D,k1_funct_2(k2_zfmisc_1(A,B),C)) -> r2_hidden(k3_funct_5(D),k1_funct_2(A,k1_funct_2(B,C))) & r2_hidden(k5_funct_5(D),k1_funct_2(B,k1_funct_2(A,C))) | k1_xboole_0 = k2_zfmisc_1(A,B)))) # label(t19_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5442 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_relat_1(E) -> (r2_hidden(A,k1_relat_1(C)) & k1_funct_1(C,A) = D & E = k1_funct_1(k6_funct_6(C),B) & r2_hidden(B,k1_relat_1(k6_funct_6(C))) -> k1_funct_1(D,B) = k1_funct_1(E,A)))))))) # label(t54_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5443 (all A all B k9_finseq_1(k1_funct_2(A,B)) = k9_funct_6(A,k9_finseq_1(B))) # label(t80_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5444 (all A (v1_funct_1(A) & v1_relat_1(A) -> k9_funct_6(k1_xboole_0,A) = k2_funcop_1(k1_relat_1(A),k1_tarski(k1_xboole_0)))) # label(t78_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5445 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> r2_wellord2(k4_card_3(k9_funct_6(A,B)),k1_funct_2(A,k4_card_3(B))))) # label(t83_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5446 (all A all B all C (r2_hidden(A,k4_card_3(k10_finseq_1(B,C))) <-> (exists D exists E (A = k10_finseq_1(D,E) & r2_hidden(E,C) & r2_hidden(D,B))))) # label(t2_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5447 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(B,A) = k5_funct_6(k11_finseq_1(C,D,B),np__3,A)))))))) # label(t47_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5448 $T # label(d11_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5449 (all A (v1_relat_1(A) & v1_funct_1(A) -> k1_relat_1(k7_funct_6(k9_finseq_1(A))) = k4_card_3(k9_finseq_1(k1_relat_1(A))) & (all B (r2_hidden(B,k1_relat_1(A)) -> k9_finseq_1(k1_funct_1(A,B)) = k1_funct_1(k7_funct_6(k9_finseq_1(A)),k9_finseq_1(B)))) & k2_relat_1(k7_funct_6(k9_finseq_1(A))) = k4_card_3(k9_finseq_1(k2_relat_1(A))))) # label(t64_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5450 (all A all B (v1_funct_1(B) & v1_relat_1(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) -> (k1_relat_1(B) = A -> r2_wellord2(k4_card_3(B),k4_card_3(k5_relat_1(C,B)))))))) # label(t71_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5451 (all A all B all C k2_funct_4(k2_funcop_1(k2_zfmisc_1(A,B),C)) = k2_funcop_1(k2_zfmisc_1(B,A),C)) # label(t12_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5452 (all A (v1_relat_1(A) & v1_funct_1(A) -> k4_funct_6(A) = k1_setfam_1(k2_relat_1(A)))) # label(d4_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5453 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(B,A) = k5_funct_6(k10_finseq_1(C,B),np__2,A) & k1_funct_1(B,A) = k5_funct_6(k11_finseq_1(C,B,D),np__2,A)))))))) # label(t46_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5454 (all A all B all C (k2_funcop_1(k2_zfmisc_1(A,B),C) = k4_funct_5(k2_funcop_1(A,k2_funcop_1(B,C))) & k6_funct_5(k2_funcop_1(A,k2_funcop_1(B,C))) = k2_funcop_1(k2_zfmisc_1(B,A),C))) # label(t15_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5455 (all A all B all C k2_funcop_1(A,k1_funct_2(B,C)) = k8_funct_6(k2_funcop_1(A,B),C)) # label(t76_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5456 (all A (v1_funcop_1(A) & v1_funct_1(A) & v1_relat_1(A) -> k1_relat_1(k2_funct_6(A)) = k1_relat_1(A))) # label(t89_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5457 (all A all B all C all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(D,k1_funct_2(A,k1_funct_2(B,C))) -> k1_xboole_0 = B | r2_hidden(k10_funct_6(D),k1_funct_2(B,k1_funct_2(A,C))) | k1_xboole_0 = A))) # label(t85_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5458 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C (v1_relat_1(C) & v1_funct_1(C) -> (k8_funct_6(A,B) = C <-> k1_relat_1(C) = k1_relat_1(A) & (all D (r2_hidden(D,k1_relat_1(A)) -> k1_funct_2(k1_funct_1(A,D),B) = k1_funct_1(C,D)))))))) # label(d8_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5459 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> v1_relat_1(k9_funct_6(A,B)) & v1_funct_1(k9_funct_6(A,B)))) # label(dt_k9_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5460 (all A (v1_relat_1(A) & v1_funct_1(A) -> k5_funct_5(k4_funct_5(A)) = k10_funct_6(A))) # label(d12_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5461 (all A all B all C k8_funct_6(k10_finseq_1(A,B),C) = k10_finseq_1(k1_funct_2(A,C),k1_funct_2(B,C))) # label(t75_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5462 (all A (-v1_xboole_0(A) -> k4_finseq_2(np__1,A) = k4_card_3(k9_finseq_1(A)))) # label(t4_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5463 (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) -> k3_funct_6(k11_finseq_1(A,B,C)) = k11_finseq_1(k2_relat_1(A),k2_relat_1(B),k2_relat_1(C)) & k11_finseq_1(k1_relat_1(A),k1_relat_1(B),k1_relat_1(C)) = k2_funct_6(k11_finseq_1(A,B,C)))))))) # label(t35_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5464 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> k4_card_3(k10_finseq_1(k1_relat_1(A),k1_relat_1(B))) = k1_relat_1(k7_funct_6(k10_finseq_1(A,B))) & (all C all D (r2_hidden(C,k1_relat_1(A)) & r2_hidden(D,k1_relat_1(B)) -> k1_funct_1(k7_funct_6(k10_finseq_1(A,B)),k10_finseq_1(C,D)) = k10_finseq_1(k1_funct_1(A,C),k1_funct_1(B,D)))) & k4_card_3(k10_finseq_1(k2_relat_1(A),k2_relat_1(B))) = k2_relat_1(k7_funct_6(k10_finseq_1(A,B))))))) # label(t65_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5465 (all A all B all C all D ((exists E exists F exists G (r2_hidden(F,C) & r2_hidden(G,D) & A = k11_finseq_1(E,F,G) & r2_hidden(E,B))) <-> r2_hidden(A,k4_card_3(k11_finseq_1(B,C,D))))) # label(t3_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5466 (all A (k3_card_3(k9_finseq_1(A)) = A & k4_funct_6(k9_finseq_1(A)) = A)) # label(t39_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5467 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(A,k1_relat_1(B)) -> k1_funct_1(B,A) = k5_funct_6(k9_finseq_1(B),np__1,A) & k5_funct_6(k10_finseq_1(B,C),np__1,A) = k1_funct_1(B,A) & k1_funct_1(B,A) = k5_funct_6(k11_finseq_1(B,C,D),np__1,A)))))))) # label(t45_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5468 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (all E (v1_funct_1(E) & v1_relat_1(E) -> (r2_hidden(A,k1_relat_1(B)) & k1_funct_1(B,A) = C & r2_hidden(D,k4_card_3(k2_funct_6(B))) & k1_funct_1(k7_funct_6(B),D) = E -> r2_hidden(k1_funct_1(D,A),k1_relat_1(C)) & r2_hidden(E,k4_card_3(k3_funct_6(B))) & k1_funct_1(C,k1_funct_1(D,A)) = k1_funct_1(E,A)))))))))) # label(t57_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5469 $T # label(d10_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5470 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C k1_funct_1(k4_funct_5(A),k4_tarski(B,C)) = k5_funct_6(A,B,C)))) # label(d5_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5471 (all A (v1_funct_1(A) & v1_relat_1(A) -> k4_card_3(k3_funct_6(A)) = k2_relat_1(k7_funct_6(A)))) # label(t58_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5472 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> r2_wellord2(k1_funct_2(k3_card_3(k2_card_3(B)),A),k4_card_3(k8_funct_6(B,A))))) # label(t77_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5473 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_funct_1(k6_funct_6(A)) & v1_relat_1(k6_funct_6(A)))) # label(dt_k6_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5474 (all A (-v1_xboole_0(A) -> k4_finseq_2(np__3,A) = k4_card_3(k11_finseq_1(A,A,A)))) # label(t8_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5475 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (v1_relat_1(k1_funct_1(C,A)) & v1_funct_1(k1_funct_1(C,A)) & r2_hidden(B,k1_relat_1(k6_funct_6(C))) & r2_hidden(A,k1_relat_1(C)) -> k5_funct_6(k6_funct_6(C),B,A) = k5_funct_6(C,A,B)))) # label(t55_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5476 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (r2_hidden(B,k1_relat_1(A)) -> k9_finseq_1(k1_funct_1(A,B)) = k1_funct_1(k6_funct_6(k9_finseq_1(A)),B))) & k1_relat_1(A) = k1_relat_1(k6_funct_6(k9_finseq_1(A))))) # label(t61_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5477 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> a_3_0_funct_6(A,B,C) = k4_card_3(k11_finseq_1(A,B,C)))))))) # label(t7_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5478 (all A all B k8_funct_6(k9_finseq_1(A),B) = k9_finseq_1(k1_funct_2(A,B))) # label(t74_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5479 (all A all B all C (-v1_xboole_0(B) & -v1_xboole_0(C) -> (r2_hidden(A,a_2_0_funct_6(B,C)) <-> (exists D exists E (m1_subset_1(D,B) & k10_finseq_1(D,E) = A & m1_subset_1(E,C)))))) # label(fraenkel_a_2_0_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5480 (all A all B (r1_tarski(A,k1_funct_6(B)) -> k1_funct_6(A) = A)) # label(t30_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5481 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k2_funct_6(k2_funcop_1(A,B)) = k2_funcop_1(A,k1_relat_1(B)) & k3_funct_6(k2_funcop_1(A,B)) = k2_funcop_1(A,k2_relat_1(B)))) # label(t36_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5482 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v1_xboole_0(B) -> k4_finseq_2(A,B) = k4_card_3(k2_finseq_2(A,B)))))) # label(t9_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5483 (all A all B ((exists C (A = k9_finseq_1(C) & r2_hidden(C,B))) <-> r2_hidden(A,k4_card_3(k9_finseq_1(B))))) # label(t1_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5484 (all A (-v1_xboole_0(A) -> k4_finseq_2(np__2,A) = k4_card_3(k10_finseq_1(A,A)))) # label(t6_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5485 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(k6_funct_6(B))) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(C,k2_relat_1(B)) -> r2_hidden(A,k1_relat_1(C)))))))) # label(t52_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5486 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (k10_relat_1(A,k1_funct_6(k2_relat_1(A))) = k1_relat_1(B) & (all C (r2_hidden(C,k10_relat_1(A,k1_funct_6(k2_relat_1(A)))) -> k1_funct_5(k1_funct_1(A,C)) = k1_funct_1(B,C))) <-> k2_funct_6(A) = B))))) # label(d2_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5487 (all A (v1_funct_1(A) & v1_relat_1(A) -> (-r2_hidden(k1_xboole_0,k2_relat_1(A)) -> k2_funcop_1(k1_relat_1(A),k1_xboole_0) = k8_funct_6(A,k1_xboole_0)))) # label(t72_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5488 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_funct_1(k7_funct_6(A)) & v1_relat_1(k7_funct_6(A)))) # label(dt_k7_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5489 $T # label(dt_k5_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5490 (all A r1_tarski(k1_funct_6(A),A)) # label(t27_funct_6) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5491 (all A all B (v1_relat_1(B) -> (r1_tarski(k6_relat_1(A),k2_xboole_0(B,k4_relat_1(B))) -> r1_tarski(k6_relat_1(A),B) & r1_tarski(k6_relat_1(A),k4_relat_1(B))))) # label(t36_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5492 (all A (v1_relat_1(A) -> (r1_tarski(A,k6_relat_1(k1_relat_1(A))) -> A = k6_relat_1(k1_relat_1(A))))) # label(t35_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5493 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),B) = k1_xboole_0 & k5_relat_1(B,A) = A -> r1_tarski(k1_sysrel(A),k1_sysrel(B))) & (k1_xboole_0 = k5_relat_1(B,k4_xboole_0(B,k6_relat_1(k1_relat_1(B)))) & A = k5_relat_1(A,B) -> r1_tarski(k1_sysrel(A),k1_sysrel(B))))))) # label(t58_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5494 (all A (v1_relat_1(A) -> (k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k1_relat_1(A)))) = k1_xboole_0 & A = k5_relat_1(A,A) -> k2_relat_1(k1_sysrel(A)) = k2_relat_1(A) & k2_relat_1(A) = k1_relat_1(k1_sysrel(A))) & (k1_xboole_0 = k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) & A = k5_relat_1(A,A) -> k2_relat_1(k1_sysrel(A)) = k1_relat_1(A) & k1_relat_1(A) = k1_relat_1(k1_sysrel(A))))) # label(t50_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5495 (all A all B -(A != k1_xboole_0 & k1_xboole_0 != B & -(A = k1_relat_1(k2_zfmisc_1(A,B)) & B = k2_relat_1(k2_zfmisc_1(A,B))))) # label(t12_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5496 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (k5_relat_1(B,k4_xboole_0(B,k6_relat_1(k1_relat_1(B)))) = k1_xboole_0 & k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k1_relat_1(A)))) = k1_xboole_0 & B = k5_relat_1(B,A) & A = k5_relat_1(A,B) -> k1_sysrel(B) = k1_sysrel(A)) & (A = k5_relat_1(B,A) & k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),B) = k1_xboole_0 & k5_relat_1(A,B) = B & k1_xboole_0 = k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) -> k1_sysrel(B) = k1_sysrel(A)))))) # label(t59_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5497 $T # label(t17_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5498 (all A (v1_relat_1(A) -> (k1_xboole_0 = k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k1_relat_1(A)))) -> k5_relat_1(k6_relat_1(k1_relat_1(k1_sysrel(A))),k4_xboole_0(A,k6_relat_1(k1_relat_1(k1_sysrel(A))))) = k1_xboole_0) & (k1_xboole_0 = k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) -> k1_xboole_0 = k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(k1_sysrel(A)))),k6_relat_1(k1_relat_1(k1_sysrel(A))))))) # label(t56_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5499 $T # label(t28_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5500 (all A (v1_relat_1(A) -> r1_tarski(k1_relat_1(k1_sysrel(A)),k2_relat_1(A)) & r1_tarski(k2_relat_1(k1_sysrel(A)),k1_relat_1(A)) & r1_tarski(k2_relat_1(k1_sysrel(A)),k2_relat_1(A)) & r1_tarski(k1_relat_1(k1_sysrel(A)),k1_relat_1(A)))) # label(t51_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5501 (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)) & k5_relat_1(k2_xboole_0(A,B),C) = k2_xboole_0(k5_relat_1(A,C),k5_relat_1(B,C)))))))) # label(t20_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.72 5502 (all A all B all C (v1_relat_1(C) -> (r1_xboole_0(A,B) -> r1_xboole_0(k1_relat_1(k3_xboole_0(k4_relat_1(C),k2_zfmisc_1(A,B))),k2_relat_1(k3_xboole_0(k4_relat_1(C),k2_zfmisc_1(A,B)))) & r1_xboole_0(k1_relat_1(k3_xboole_0(C,k2_zfmisc_1(A,B))),k2_relat_1(k3_xboole_0(C,k2_zfmisc_1(A,B))))))) # label(t14_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5503 (all A all B v1_relat_1(k2_zfmisc_1(A,B))) # label(fc1_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5504 (all A all B (v1_relat_1(B) -> (k1_xboole_0 = k5_relat_1(k6_relat_1(A),k4_xboole_0(B,k6_relat_1(A))) -> k4_xboole_0(k1_relat_1(B),k1_relat_1(k6_relat_1(A))) = k1_relat_1(k4_xboole_0(B,k6_relat_1(A)))) & (k1_xboole_0 = k5_relat_1(k4_xboole_0(B,k6_relat_1(A)),k6_relat_1(A)) -> k2_relat_1(k4_xboole_0(B,k6_relat_1(A))) = k4_xboole_0(k2_relat_1(B),k2_relat_1(k6_relat_1(A)))))) # label(t39_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5505 (all A all B all C all D all E (v1_relat_1(E) -> (r1_xboole_0(A,B) & r2_hidden(D,B) & r2_hidden(k4_tarski(C,D),E) & r1_tarski(E,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) -> r2_hidden(C,A) & -r2_hidden(C,B) & -r2_hidden(D,A)) & (r1_xboole_0(A,B) & r2_hidden(k4_tarski(C,D),E) & r2_hidden(D,A) & r1_tarski(E,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) -> -r2_hidden(D,B) & r2_hidden(C,B) & -r2_hidden(C,A)) & (r2_hidden(k4_tarski(C,D),E) & r2_hidden(C,B) & r1_tarski(E,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) & r1_xboole_0(A,B) -> -r2_hidden(C,A) & r2_hidden(D,A) & -r2_hidden(D,B)) & (r2_hidden(k4_tarski(C,D),E) & r2_hidden(C,A) & r1_tarski(E,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) & r1_xboole_0(A,B) -> -r2_hidden(C,B) & -r2_hidden(D,A) & r2_hidden(D,B)))) # label(t22_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5506 (all A all B k2_zfmisc_1(B,A) = k4_relat_1(k2_zfmisc_1(A,B))) # label(t18_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5507 $T # label(t23_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5508 (all A all B all C all D all E (v1_relat_1(E) -> (A = k2_xboole_0(C,D) & r1_tarski(E,k2_zfmisc_1(A,B)) -> E = k2_xboole_0(k7_relat_1(E,C),k7_relat_1(E,D))))) # label(t25_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5509 (all A (v1_relat_1(A) -> k1_sysrel(A) = k6_relat_1(k1_relat_1(k1_sysrel(A))))) # label(t47_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5510 $T # label(t2_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5511 $T # label(t3_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5512 $T # label(t10_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5513 (all A all B all C (v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),k1_sysrel(C)) -> r2_hidden(A,k1_relat_1(k1_sysrel(C))) & A = B))) # label(t44_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5514 $T # label(t5_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5515 (all A all B all C (v1_relat_1(C) -> (r1_tarski(C,k2_zfmisc_1(A,B)) -> r1_tarski(k4_relat_1(C),k2_zfmisc_1(B,A))))) # label(t16_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5516 (all A all B all C (v1_relat_1(C) -> (r1_xboole_0(A,B) & r1_tarski(C,k2_xboole_0(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A))) -> r1_tarski(k7_relat_1(C,A),k2_zfmisc_1(A,B))))) # label(t26_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5517 (all A all B (r1_tarski(A,B) -> r1_tarski(k6_relat_1(A),k6_relat_1(B)))) # label(t33_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5518 $T # label(t9_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5519 (all A (v1_relat_1(A) -> r1_tarski(k1_sysrel(A),A) & r1_tarski(k1_sysrel(A),k6_relat_1(k1_relat_1(A))))) # label(t43_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5520 (all A all B all C all D (v1_relat_1(D) -> (r1_tarski(C,A) & r1_tarski(D,k2_zfmisc_1(A,B)) -> k7_relat_1(D,C) = k3_xboole_0(D,k2_zfmisc_1(C,B))) & (r1_tarski(D,k2_zfmisc_1(A,B)) & r1_tarski(C,B) -> k8_relat_1(C,D) = k3_xboole_0(D,k2_zfmisc_1(A,C))))) # label(t24_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5521 (all A all B all C (v1_relat_1(C) -> (r1_tarski(C,k2_zfmisc_1(A,B)) -> r1_tarski(k1_relat_1(C),A) & r1_tarski(k2_relat_1(C),B)))) # label(t15_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5522 (all A (v1_relat_1(A) -> k1_relat_1(k1_sysrel(A)) = k2_relat_1(k1_sysrel(A)))) # label(t45_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5523 (all A (v1_relat_1(A) -> (r1_tarski(A,k5_relat_1(A,A)) & k1_xboole_0 = k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k2_relat_1(A)))) -> r1_tarski(k6_relat_1(k2_relat_1(A)),A)) & (r1_tarski(A,k5_relat_1(A,A)) & k1_xboole_0 = k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) -> r1_tarski(k6_relat_1(k1_relat_1(A)),A)))) # label(t40_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5524 (all A all B (k4_xboole_0(k6_relat_1(A),k6_relat_1(B)) = k6_relat_1(k4_xboole_0(A,B)) & k3_xboole_0(k6_relat_1(A),k6_relat_1(B)) = k6_relat_1(k3_xboole_0(A,B)) & k2_xboole_0(k6_relat_1(A),k6_relat_1(B)) = k6_relat_1(k2_xboole_0(A,B)))) # label(t32_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5525 (all A (v1_relat_1(A) -> k1_sysrel(A) = k3_xboole_0(A,k6_relat_1(k1_relat_1(A))))) # label(d1_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5526 $T # label(t1_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5527 (all A all B (v1_relat_1(B) -> (r2_hidden(A,k1_relat_1(k1_sysrel(B))) -> r2_hidden(k4_tarski(A,A),B) & r2_hidden(A,k1_relat_1(B))) & (r2_hidden(k4_tarski(A,A),B) & r2_hidden(A,k1_relat_1(B)) -> r2_hidden(A,k1_relat_1(k1_sysrel(B)))) & (r2_hidden(k4_tarski(A,A),B) & r2_hidden(A,k1_relat_1(B)) -> r2_hidden(A,k2_relat_1(k1_sysrel(B)))) & (r2_hidden(A,k2_relat_1(k1_sysrel(B))) -> r2_hidden(A,k2_relat_1(B)) & r2_hidden(k4_tarski(A,A),B)) & (r2_hidden(A,k1_relat_1(k1_sysrel(B))) -> r2_hidden(A,k2_relat_1(B)) & r2_hidden(k4_tarski(A,A),B)) & (r2_hidden(k4_tarski(A,A),B) & r2_hidden(A,k2_relat_1(B)) -> r2_hidden(A,k1_relat_1(k1_sysrel(B)))) & (r2_hidden(A,k2_relat_1(B)) & r2_hidden(k4_tarski(A,A),B) -> r2_hidden(A,k2_relat_1(k1_sysrel(B)))) & (r2_hidden(A,k2_relat_1(k1_sysrel(B))) -> r2_hidden(k4_tarski(A,A),B) & r2_hidden(A,k1_relat_1(B))))) # label(t46_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5528 (all A all B (v1_relat_1(B) -> (r1_tarski(k6_relat_1(A),B) -> r1_tarski(k6_relat_1(A),k4_relat_1(B))))) # label(t37_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5529 (all A (v1_relat_1(A) -> r1_tarski(k6_relat_1(k2_relat_1(k1_sysrel(A))),k6_relat_1(k1_relat_1(A))) & r1_tarski(k6_relat_1(k1_relat_1(k1_sysrel(A))),k6_relat_1(k1_relat_1(A))))) # label(t52_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5530 $T # label(t8_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5531 $T # label(t7_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5532 (all A k6_relat_1(k1_tarski(A)) = k1_tarski(k4_tarski(A,A))) # label(t30_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5533 (all A all B all C (v1_relat_1(C) -> (r2_hidden(k4_tarski(A,B),C) & k5_relat_1(k4_xboole_0(C,k6_relat_1(k1_relat_1(C))),C) = k1_xboole_0 & k5_relat_1(C,C) = C -> r2_hidden(B,k4_xboole_0(k2_relat_1(C),k1_relat_1(k1_sysrel(C)))) & r2_hidden(A,k1_relat_1(k1_sysrel(C))) | A = B) & (k5_relat_1(C,k4_xboole_0(C,k6_relat_1(k1_relat_1(C)))) = k1_xboole_0 & r2_hidden(k4_tarski(A,B),C) & k5_relat_1(C,C) = C -> A = B | r2_hidden(B,k1_relat_1(k1_sysrel(C))) & r2_hidden(A,k4_xboole_0(k1_relat_1(C),k1_relat_1(k1_sysrel(C))))))) # label(t49_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5534 (all A k5_relat_1(k6_relat_1(A),k6_relat_1(A)) = k6_relat_1(A)) # label(t29_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5535 (all A all B all C (r2_hidden(k4_tarski(A,B),k6_relat_1(C)) <-> r2_hidden(k4_tarski(B,A),k6_relat_1(C)))) # label(t31_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5536 (all A all B (v1_relat_1(B) -> (r1_tarski(B,k2_zfmisc_1(A,A)) -> k4_xboole_0(B,k6_relat_1(k2_relat_1(B))) = k4_xboole_0(B,k6_relat_1(A)) & k4_xboole_0(B,k6_relat_1(k1_relat_1(B))) = k4_xboole_0(B,k6_relat_1(A))))) # label(t38_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5537 (all A all B (v1_relat_1(B) -> (r1_tarski(k6_relat_1(A),B) & k1_xboole_0 = k5_relat_1(k6_relat_1(A),k4_xboole_0(B,k6_relat_1(A))) -> k6_relat_1(A) = k7_relat_1(B,A)) & (r1_tarski(k6_relat_1(A),B) & k5_relat_1(k4_xboole_0(B,k6_relat_1(A)),k6_relat_1(A)) = k1_xboole_0 -> k6_relat_1(A) = k8_relat_1(A,B)))) # label(t54_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5538 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r1_tarski(A,B) -> r1_tarski(k4_relat_1(A),k4_relat_1(B))))))) # label(t27_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5539 (all A all B all C (v1_relat_1(C) -> r1_tarski(k2_relat_1(k3_xboole_0(C,k2_zfmisc_1(A,B))),B) & r1_tarski(k1_relat_1(k3_xboole_0(C,k2_zfmisc_1(A,B))),A))) # label(t13_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5540 $T # label(t19_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5541 (all A all B k1_xboole_0 = k4_xboole_0(k6_relat_1(k4_xboole_0(A,B)),k6_relat_1(A))) # label(t34_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5542 $T # label(t11_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5543 (all A (v1_relat_1(A) -> r1_tarski(k6_relat_1(k1_relat_1(k1_sysrel(A))),A) & r1_tarski(k6_relat_1(k2_relat_1(k1_sysrel(A))),A))) # label(t53_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5544 $T # label(t4_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5545 (all A all B (v1_relat_1(B) -> (r1_tarski(k1_relat_1(B),A) & k1_xboole_0 = k5_relat_1(k4_xboole_0(B,k6_relat_1(A)),B) -> k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),B) = k1_xboole_0) & (k1_xboole_0 = k5_relat_1(B,k4_xboole_0(B,k6_relat_1(A))) & r1_tarski(k2_relat_1(B),A) -> k1_xboole_0 = k5_relat_1(B,k4_xboole_0(B,k6_relat_1(k2_relat_1(B))))))) # label(t42_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5546 (all A (v1_relat_1(A) -> (k1_xboole_0 = k5_relat_1(A,k4_xboole_0(A,k6_relat_1(k2_relat_1(A)))) & r1_tarski(A,k5_relat_1(A,A)) -> k6_relat_1(k2_relat_1(A)) = k3_xboole_0(A,k6_relat_1(k2_relat_1(A)))) & (r1_tarski(A,k5_relat_1(A,A)) & k1_xboole_0 = k5_relat_1(k4_xboole_0(A,k6_relat_1(k1_relat_1(A))),A) -> k6_relat_1(k1_relat_1(A)) = k3_xboole_0(A,k6_relat_1(k1_relat_1(A)))))) # label(t41_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5547 (all A (v1_relat_1(A) -> v1_relat_1(k1_sysrel(A)))) # label(dt_k1_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5548 $T # label(t6_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5549 (all A (v1_relat_1(A) -> (k1_xboole_0 = k5_relat_1(k4_xboole_0(A,k6_relat_1(k2_relat_1(k1_sysrel(A)))),k6_relat_1(k2_relat_1(k1_sysrel(A)))) -> k8_relat_1(k1_relat_1(k1_sysrel(A)),A) = k6_relat_1(k1_relat_1(k1_sysrel(A))) & k8_relat_1(k2_relat_1(k1_sysrel(A)),A) = k6_relat_1(k2_relat_1(k1_sysrel(A)))) & (k5_relat_1(k6_relat_1(k1_relat_1(k1_sysrel(A))),k4_xboole_0(A,k6_relat_1(k1_relat_1(k1_sysrel(A))))) = k1_xboole_0 -> k7_relat_1(A,k2_relat_1(k1_sysrel(A))) = k6_relat_1(k1_relat_1(k1_sysrel(A))) & k7_relat_1(A,k1_relat_1(k1_sysrel(A))) = k6_relat_1(k1_relat_1(k1_sysrel(A)))))) # label(t55_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5550 (all A all B all C (v1_relat_1(C) -> (k1_xboole_0 = k5_relat_1(k4_xboole_0(C,k1_sysrel(C)),C) & r2_hidden(k4_tarski(A,B),C) & k5_relat_1(C,C) = C -> B = A | r2_hidden(A,k1_relat_1(k1_sysrel(C))) & r2_hidden(B,k4_xboole_0(k2_relat_1(C),k1_relat_1(k1_sysrel(C))))) & (k1_xboole_0 = k5_relat_1(C,k4_xboole_0(C,k1_sysrel(C))) & r2_hidden(k4_tarski(A,B),C) & k5_relat_1(C,C) = C -> B = A | r2_hidden(B,k1_relat_1(k1_sysrel(C))) & r2_hidden(A,k4_xboole_0(k1_relat_1(C),k1_relat_1(k1_sysrel(C))))))) # label(t48_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5551 $T # label(t21_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5552 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (k5_relat_1(B,k4_xboole_0(B,k6_relat_1(k1_relat_1(B)))) = k1_xboole_0 & k5_relat_1(A,B) = A -> k5_relat_1(A,k4_xboole_0(B,k6_relat_1(k1_relat_1(B)))) = k1_xboole_0) & (k5_relat_1(B,A) = A & k1_xboole_0 = k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),B) -> k5_relat_1(k4_xboole_0(B,k6_relat_1(k1_relat_1(B))),A) = k1_xboole_0))))) # label(t57_sysrel) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5553 $T # label(t10_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5554 (all A (-v1_xboole_0(A) -> (-v1_finset_1(A) -> k1_card_1(k3_finseq_2(A)) = k1_card_1(A)))) # label(t87_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5555 (all A (v3_ordinal1(A) -> (exists B (m2_subset_1(B,k1_numbers,k5_numbers) & k14_ordinal2(A,B) = k15_ordinal2(A,k1_ordinal1(k4_ordinal2)))))) # label(t29_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5556 (all A all B (v1_card_4(A) & v1_card_4(B) -> v1_card_4(k2_zfmisc_1(A,B)))) # label(t55_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5557 (all A (-v1_xboole_0(A) -> (v1_card_4(A) -> v1_card_4(k3_finseq_2(A))))) # label(t65_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5558 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> -(-(np__0 = B & A != np__0) & k3_newton(B,A) = np__0) & -(A != np__0 & B = np__0 & np__0 != k3_newton(B,A)))))) # label(t51_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5559 (all A all B (v1_card_4(A) -> v1_card_4(k3_xboole_0(B,A)) & v1_card_4(k3_xboole_0(A,B)))) # label(t48_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5560 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> r1_tarski(A,k1_card_2(A,B)) & r1_tarski(B,k1_card_2(A,B)))))) # label(t72_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5561 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> ((all D (r2_hidden(D,k1_relat_1(C)) -> r1_tarski(k1_card_1(k1_funct_1(C,D)),B))) & r1_tarski(k1_card_1(k1_relat_1(C)),A) -> r1_tarski(k1_card_1(k3_card_3(C)),k2_card_2(A,B))))))))) # label(t59_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5562 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k2_nat_1(k1_card_4(np__2,C),k1_nat_1(k2_nat_1(np__2,D),np__1)) = k2_nat_1(k1_card_4(np__2,A),k1_nat_1(k2_nat_1(np__2,B),np__1)) -> C = A & B = D))))))))) # label(t52_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5563 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (v1_finset_1(A) -> v1_finset_1(B) | -r2_hidden(B,A) & -r1_tarski(B,A)))))) # label(t26_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5564 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (all D (v1_card_1(D) -> -(-(-(r2_hidden(C,D) & r2_hidden(A,B)) & -(r2_hidden(A,B) & r1_tarski(C,D)) & -(r1_tarski(C,D) & r1_tarski(A,B)) & -(r2_hidden(C,D) & r1_tarski(A,B))) & -r1_tarski(k3_card_2(A,C),k3_card_2(B,D)) & A != np__0))))))))) # label(t70_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5565 (all A (v1_card_1(A) -> (-v1_finset_1(A) -> A = k1_card_2(A,A)))) # label(t33_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5566 (all A (-((all B -(r1_tarski(B,A) & k1_card_1(B) = k3_card_1(np__0))) & -v1_finset_1(A)) & -((exists B (k3_card_1(np__0) = k1_card_1(B) & r1_tarski(B,A))) & v1_finset_1(A)))) # label(t14_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5567 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (r1_tarski(A,B) <-> r2_hidden(A,k2_card_1(B))))))) # label(t23_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5568 (all A (-v1_finset_1(A) -> k1_card_1(A) = k2_card_2(k3_card_1(np__0),k1_card_1(A)))) # label(t84_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5569 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_ordinal1(B) -> (r2_wellord2(B,A) -> B = A))))) # label(t6_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5570 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (all D (v1_card_1(D) -> (r2_hidden(A,B) & r2_hidden(C,D) -> r2_hidden(k2_card_2(C,A),k2_card_2(B,D)) & r2_hidden(k2_card_2(A,C),k2_card_2(B,D))))))))))) # label(t82_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5571 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (r2_hidden(A,B) | r1_tarski(A,B) -> r1_tarski(k1_card_2(A,C),k1_card_2(B,C)) & r1_tarski(k1_card_2(A,C),k1_card_2(C,B)) & r1_tarski(k1_card_2(C,A),k1_card_2(B,C)) & r1_tarski(k1_card_2(C,A),k1_card_2(C,B))))))))) # label(t42_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5572 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_ordinal1(B) -> k14_ordinal2(B,k1_ordinal1(A)) = k14_ordinal2(k1_ordinal1(B),A) & k14_ordinal2(k1_ordinal1(B),A) = k14_ordinal2(B,k1_nat_1(A,np__1)))))) # label(t28_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5573 (all A (-v1_xboole_0(A) -> r1_tarski(k3_card_1(np__0),k1_card_1(k3_finseq_2(A))))) # label(t66_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5574 (all A (v3_ordinal1(A) -> (v4_ordinal1(A) -> k15_ordinal2(A,k1_ordinal1(k4_ordinal2)) = A))) # label(t30_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5575 (all A all B (v1_card_4(A) & v1_card_4(B) -> v1_card_4(k5_xboole_0(A,B)))) # label(t50_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5576 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (v1_finset_1(A) -> v1_finset_1(B) | r2_hidden(A,B) & r1_tarski(A,B)))))) # label(t13_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5577 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (r2_hidden(k2_card_2(A,B),k2_card_2(A,C)) -> r2_hidden(B,C)))))))) # label(t83_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5578 (all A (v1_finset_1(A) -> r2_hidden(k1_card_1(A),k5_ordinal2) & r2_hidden(k1_card_1(A),k3_card_1(np__0)))) # label(t3_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5579 (all A (-v1_finset_1(A) -> k1_card_1(k2_zfmisc_1(A,A)) = k1_card_1(A) & r2_wellord2(k2_zfmisc_1(A,A),A))) # label(t80_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5580 (all A (v1_funct_1(A) & v1_relat_1(A) -> ((all B (r2_hidden(B,k1_relat_1(A)) -> v1_card_4(k1_funct_1(A,B)))) & v1_card_4(k1_relat_1(A)) -> v1_card_4(k3_card_3(A))))) # label(t61_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5581 $T # label(t64_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5582 $T # label(t16_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5583 (all A ((exists B (v1_funct_1(B) & k5_numbers = k1_relat_1(B) & r1_tarski(A,k2_relat_1(B)) & v1_relat_1(B))) <-> v1_card_4(A))) # label(t45_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5584 (all A (-v1_xboole_0(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (v1_card_4(A) -> v1_card_4(k4_finseq_2(B,A))))))) # label(t58_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5585 (all A (v1_card_1(A) -> (-v1_finset_1(A) <-> r1_ordinal1(k3_card_1(np__0),A)))) # label(t11_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5586 (all A all B (v1_card_4(B) & v1_card_4(A) -> v1_card_4(k2_xboole_0(A,B)))) # label(t47_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5587 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v1_finset_1(k1_relat_1(A)) & (all B (r2_hidden(B,k1_relat_1(A)) -> v1_finset_1(k1_funct_1(A,B)))) -> v1_finset_1(k3_card_3(A))))) # label(t63_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5588 (all A (v1_card_1(A) -> (-v1_finset_1(A) -> A = k2_card_2(A,A)))) # label(t77_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5589 (all A (v1_card_1(A) -> (r2_hidden(np__0,A) <-> r1_tarski(np__1,A)))) # label(t24_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5590 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> -(-v1_finset_1(A) & (r1_tarski(B,A) | r2_hidden(B,A)) & -(k1_card_2(B,A) = A & A = k1_card_2(A,B))))))) # label(t34_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5591 (all A (v3_ordinal1(A) -> ((all B (v3_ordinal1(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(B,A) -> r2_hidden(k14_ordinal2(B,C),A)))))) <-> v4_ordinal1(A)))) # label(t27_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5592 (all A all B (v1_card_4(B) & r1_tarski(A,B) -> v1_card_4(A))) # label(t46_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5593 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (B = A <-> k2_card_1(A) = k2_card_1(B)))))) # label(t21_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5594 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (r2_hidden(A,B) <-> r1_tarski(k2_card_1(A),B)))))) # label(t22_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5595 (all A all B (k1_card_1(A) = k1_card_1(B) <-> k2_card_1(B) = k2_card_1(A))) # label(t20_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5596 (all A (v1_card_1(A) -> (-v1_finset_1(A) -> v4_ordinal1(A)))) # label(t32_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5597 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (r2_hidden(np__0,B) -> v1_finset_1(A) | k2_card_2(B,A) = A & k2_card_2(A,B) = A | -r2_hidden(B,A) & -r1_tarski(B,A)))))) # label(t78_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5598 (all A (v1_card_4(A) <-> r1_tarski(k1_card_1(A),k3_card_1(np__0)))) # label(d1_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5599 (all A (v3_ordinal1(A) -> k4_xboole_0(k1_ordinal1(A),k1_tarski(A)) = A)) # label(t5_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5600 (all A ((exists B exists C exists D (A = f1_s3_card_4(B,C,D) & p1_s3_card_4(B,C,D) & m2_subset_1(D,k1_numbers,k5_numbers) & m2_subset_1(C,k1_numbers,k5_numbers) & m2_subset_1(B,k1_numbers,k5_numbers))) <-> r2_hidden(A,a_0_2_card_4))) # label(fraenkel_a_0_2_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5601 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (r2_hidden(k1_card_2(A,B),k1_card_2(A,C)) -> r2_hidden(B,C)))))))) # label(t75_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5602 (all A all B (v1_card_1(B) -> (all C (v1_card_1(C) -> ((all D (r2_hidden(D,A) -> r1_tarski(k1_card_1(D),C))) & r1_tarski(k1_card_1(A),B) -> r1_tarski(k1_card_1(k3_tarski(A)),k2_card_2(B,C))))))) # label(t60_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5603 (all A ((all B (r2_hidden(B,A) -> v1_card_4(B))) & v1_card_4(A) -> v1_card_4(k3_tarski(A)))) # label(t62_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5604 (all A all B (v1_finset_1(B) -> r2_wellord2(k2_xboole_0(A,B),A) & k1_card_1(k2_xboole_0(A,B)) = k1_card_1(A) | v1_finset_1(A))) # label(t36_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5605 (all A all B (v1_card_4(A) -> v1_card_4(k4_xboole_0(A,B)))) # label(t49_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5606 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> -(-v1_finset_1(A) & -(r1_tarski(k2_card_2(B,A),A) & r1_tarski(k2_card_2(A,B),A)) & (r2_hidden(B,A) | r1_tarski(B,A))))))) # label(t79_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5607 (all A all B (v1_finset_1(A) -> k1_card_1(B) = k2_card_2(k1_card_1(B),k1_card_1(A)) | v1_finset_1(B) | A = k1_xboole_0)) # label(t85_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5608 (all A (v1_card_1(A) -> (r2_hidden(np__1,A) <-> r1_tarski(np__2,A)))) # label(t25_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5609 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (r2_hidden(A,B) | r1_tarski(A,B) -> r1_tarski(k2_card_2(A,C),k2_card_2(B,C)) & r1_tarski(k2_card_2(A,C),k2_card_2(C,B)) & r1_tarski(k2_card_2(C,A),k2_card_2(B,C)) & r1_tarski(k2_card_2(C,A),k2_card_2(C,B))))))))) # label(t69_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5610 (all A all B -((r2_wellord2(A,B) | r2_wellord2(B,A)) & -(k1_card_1(A) = k1_card_1(k2_xboole_0(A,B)) & r2_wellord2(k2_xboole_0(A,B),A)) & -v1_finset_1(A))) # label(t35_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5611 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (all D (v1_card_1(D) -> (-(-(r2_hidden(C,D) & r2_hidden(A,B)) & -(r2_hidden(A,B) & r1_tarski(C,D)) & -(r1_tarski(C,D) & r1_tarski(A,B)) & -(r1_tarski(A,B) & r2_hidden(C,D))) -> r1_tarski(k2_card_2(C,A),k2_card_2(B,D)) & r1_tarski(k2_card_2(A,C),k2_card_2(B,D))))))))))) # label(t68_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5612 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> r1_tarski(k2_card_2(k1_card_1(A),k3_card_1(np__0)),k3_card_1(np__0)) & r1_tarski(k2_card_2(k3_card_1(np__0),k1_card_1(A)),k3_card_1(np__0)))) # label(t67_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5613 (all A all B (v1_finset_1(B) -> k1_xboole_0 = B | r2_wellord2(k2_zfmisc_1(A,B),A) & k1_card_1(A) = k1_card_1(k2_zfmisc_1(A,B)) | v1_finset_1(A))) # label(t81_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5614 (all A (v3_ordinal1(A) -> (v1_finset_1(A) <-> r2_hidden(A,k5_ordinal2)))) # label(t7_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5615 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (all D (v1_card_1(D) -> (-(-(r1_tarski(A,B) & r2_hidden(C,D)) & -(r1_tarski(C,D) & r2_hidden(A,B)) & -(r1_tarski(A,B) & r1_tarski(C,D)) & -(r2_hidden(C,D) & r2_hidden(A,B))) -> r1_tarski(k1_card_2(A,C),k1_card_2(B,D)) & r1_tarski(k1_card_2(C,A),k1_card_2(B,D))))))))))) # label(t41_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5616 (all A (v1_card_1(A) -> r1_tarski(np__0,A))) # label(t19_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5617 (all A (v3_ordinal1(A) -> (-v1_finset_1(A) <-> r1_ordinal1(k5_ordinal2,A)))) # label(t8_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5618 (all A all B (m1_subset_1(B,k5_numbers) & m1_subset_1(A,k5_numbers) -> m2_subset_1(k1_card_4(A,B),k1_numbers,k5_numbers))) # label(dt_k1_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5619 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (-v1_finset_1(A) -> -v1_finset_1(k1_card_2(A,B)) & -v1_finset_1(k1_card_2(B,A))))))) # label(t39_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5620 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (A != np__0 -> r1_tarski(B,k2_card_2(B,A)) & r1_tarski(B,k2_card_2(A,B))))))) # label(t73_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5621 (all A (r2_hidden(A,a_0_1_card_4) <-> (exists B exists C (f1_s2_card_4(B,C) = A & p1_s2_card_4(B,C) & m2_subset_1(C,k1_numbers,k5_numbers) & m2_subset_1(B,k1_numbers,k5_numbers))))) # label(fraenkel_a_0_1_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5622 (all A all B (m1_subset_1(A,k5_numbers) & m1_subset_1(B,k5_numbers) -> k1_card_4(A,B) = k2_newton(A,B))) # label(redefinition_k1_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5623 (all A (v1_finset_1(A) & v1_card_1(A) -> (all B (v1_finset_1(B) & v1_card_1(B) -> v1_finset_1(k1_card_2(A,B)))))) # label(t38_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5624 (all A (v3_ordinal1(A) -> (r1_ordinal1(k5_ordinal2,A) -> k14_ordinal2(k4_ordinal2,A) = A))) # label(t31_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5625 (all A (v1_finset_1(A) & v1_card_1(A) -> (all B (v1_card_1(B) & v1_finset_1(B) -> v1_finset_1(k2_card_2(A,B)))))) # label(t40_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5626 (all A (r2_hidden(A,a_0_0_card_4) <-> (exists B (m2_subset_1(B,k1_numbers,k5_numbers) & p1_s1_card_4(B) & A = f1_s1_card_4(B))))) # label(fraenkel_a_0_0_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5627 (all A (r2_hidden(k1_card_1(A),k3_card_1(np__0)) <-> v1_finset_1(A))) # label(t2_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5628 (all A ((exists B (k1_card_1(A) = k1_card_1(B) & m2_subset_1(B,k1_numbers,k5_numbers))) <-> v1_finset_1(A))) # label(t4_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5629 (all A all B -(-(r2_wellord2(k2_xboole_0(A,B),A) & k1_card_1(k2_xboole_0(A,B)) = k1_card_1(A)) & (r2_hidden(k1_card_1(B),k1_card_1(A)) | r1_tarski(k1_card_1(B),k1_card_1(A))) & -v1_finset_1(A))) # label(t37_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5630 (all A all B (r2_hidden(k1_card_1(B),k1_card_1(A)) & k1_card_2(k1_card_1(A),k1_card_1(B)) = k1_card_1(A) -> k1_card_1(k4_xboole_0(A,B)) = k1_card_1(A))) # label(t76_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5631 (all A (v1_finset_1(A) -> v1_card_4(A))) # label(t43_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5632 (all A (np__0 = k1_card_1(A) <-> A = k1_xboole_0)) # label(t17_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5633 $T # label(t12_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5634 (all A (-v1_xboole_0(A) -> k1_card_1(k4_finseq_2(np__1,A)) = k1_card_1(A) & r2_wellord2(k4_finseq_2(np__1,A),A))) # label(t56_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5635 (all A (v1_finset_1(k1_card_1(A)) <-> v1_finset_1(A))) # label(t1_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5636 (all A (-v1_xboole_0(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> -(np__0 != B & -(k1_card_1(k4_finseq_2(B,A)) = k1_card_1(A) & r2_wellord2(k4_finseq_2(B,A),A)) & -v1_finset_1(A)))))) # label(t86_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5637 $T # label(t18_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5638 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> (all D (v1_card_1(D) -> (r2_hidden(A,B) & r2_hidden(C,D) -> r2_hidden(k1_card_2(A,C),k1_card_2(B,D)) & r2_hidden(k1_card_2(C,A),k1_card_2(B,D))))))))))) # label(t74_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5639 (all A (v1_card_1(A) -> (all B (v1_card_1(B) -> (all C (v1_card_1(C) -> -((r1_tarski(A,B) | r2_hidden(A,B)) & np__0 != C & -(r1_tarski(k3_card_2(A,C),k3_card_2(B,C)) & r1_tarski(k3_card_2(C,A),k3_card_2(C,B)))))))))) # label(t71_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5640 (all A (v1_card_1(A) -> (v1_finset_1(A) <-> r2_hidden(A,k3_card_1(np__0))))) # label(t9_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5641 (all A (-v1_xboole_0(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k1_card_1(k4_finseq_2(k1_nat_1(B,C),A)) = k1_card_1(k2_zfmisc_1(k4_finseq_2(B,A),k4_finseq_2(C,A))) & r2_wellord2(k2_zfmisc_1(k4_finseq_2(B,A),k4_finseq_2(C,A)),k4_finseq_2(k1_nat_1(B,C),A)))))))) # label(t57_card_4) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5642 $T # label(t63_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5643 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> r1_tarski(B,k1_eqrel_1(A)))) # label(t49_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5644 $T # label(t17_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5645 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> (all C -(r2_hidden(C,A) & (all D (m1_toler_1(D,A,B) & v1_toler_1(D,A,B) -> -r2_hidden(C,D))))))) # label(t47_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5646 $T # label(t35_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5647 (all A all B all C all D (m2_relset_1(D,A,B) -> (v3_relat_2(D) -> v3_relat_2(k1_toler_1(D,C))))) # label(t32_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5648 (all A all B all C (v1_relat_2(C) & v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) -> (all D ((all E (r2_hidden(B,E) & v1_toler_1(E,A,C) & m1_toler_1(E,A,C) <-> r2_hidden(E,D))) -> k3_tarski(D) = k6_eqrel_1(A,C,B))))) # label(t58_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5649 $T # label(dt_m1_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5650 $T # label(t30_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5651 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C all D (r2_hidden(k4_tarski(C,D),B) -> m1_toler_1(k2_tarski(C,D),A,B))))) # label(t40_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5652 $T # label(t56_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5653 (all A all B all C (r2_hidden(C,A) & r2_hidden(B,A) -> r2_hidden(k4_tarski(B,C),k1_eqrel_1(A)))) # label(t15_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5654 (all A all B (v1_relat_1(A) -> k2_wellord1(A,B) = k1_toler_1(A,B))) # label(redefinition_k1_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5655 $T # label(t48_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5656 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> (all C (m1_toler_1(C,A,B) -> (exists D (v1_toler_1(D,A,B) & r1_tarski(C,D) & m1_toler_1(D,A,B))))))) # label(t45_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5657 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C (v1_relat_2(C) & v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) -> (r1_tarski(k4_toler_1(A,B),k4_toler_1(A,C)) -> r1_tarski(B,C)))))) # label(t64_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5658 $T # label(t12_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5659 $T # label(t18_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5660 (all A all B (v1_relat_2(B) & v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> (all C (v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v3_relat_2(C) & v1_relat_2(C) -> (k4_toler_1(A,B) = k4_toler_1(A,C) -> C = B))))) # label(t65_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5661 $T # label(t55_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5662 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (v1_toler_1(k1_xboole_0,A,B) & m1_toler_1(k1_xboole_0,A,B) -> B = k1_xboole_0))) # label(t38_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5663 $T # label(t11_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5664 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C (r2_hidden(C,A) -> m1_toler_1(k1_tarski(C),A,B))))) # label(t41_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5665 (all A all B all C (v1_relat_2(B) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> k2_wellord1(B,C) = k2_toler_1(A,B,C))) # label(redefinition_k2_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5666 $T # label(t10_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5667 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v1_relat_2(B) -> (exists C m1_toler_1(C,A,B)))) # label(existence_m1_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5668 (all A all B all C (v1_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) & v3_relat_2(C) -> (all D ((all E (r2_hidden(E,D) <-> r2_hidden(B,E) & m1_toler_1(E,A,C))) -> k3_tarski(D) = k6_eqrel_1(A,C,B))))) # label(t59_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5669 $T # label(t36_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5670 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v3_relat_2(B) -> (exists C (m1_toler_1(C,A,B) & v1_toler_1(C,A,B))))) # label(rc1_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5671 (all A all B (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> k3_tarski(k4_toler_1(A,B)) = A)) # label(t66_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5672 (all A all B (v1_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> (all C (m1_toler_1(C,A,B) <-> (all D all E (r2_hidden(D,C) & r2_hidden(E,C) -> r2_hidden(k4_tarski(D,E),B))))))) # label(d3_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5673 $T # label(t22_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5674 (all A exists B (v3_relat_2(B) & m2_relset_1(B,k3_tarski(A),k3_tarski(A)) & (all C (r2_hidden(C,A) -> m1_toler_1(C,k3_tarski(A),B))) & v1_partfun1(B,k3_tarski(A),k3_tarski(A)) & v1_relat_2(B))) # label(t51_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5675 (all A all B (v1_relat_1(A) -> m2_relset_1(k1_toler_1(A,B),B,B))) # label(dt_k1_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5676 (all A all B (v1_relat_2(B) & v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> (all C (v1_relat_2(C) & v3_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) -> ((all D (v1_toler_1(D,A,B) & m1_toler_1(D,A,B) <-> m1_toler_1(D,A,C) & v1_toler_1(D,A,C))) -> C = B))))) # label(t53_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5677 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> k5_relset_1(A,A,B) = A)) # label(t25_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5678 $T # label(t44_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5679 $T # label(t26_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5680 (all A v6_relat_2(k1_eqrel_1(A))) # label(t21_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5681 $T # label(t23_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5682 $T # label(t20_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5683 (all A all B (r2_hidden(A,f1_s1_toler_1) & p1_s1_toler_1(A,B) & r2_hidden(B,f1_s1_toler_1) -> p1_s1_toler_1(B,A))) & (all A (r2_hidden(A,f1_s1_toler_1) -> p1_s1_toler_1(A,A))) -> (exists A (v3_relat_2(A) & v1_partfun1(A,f1_s1_toler_1,f1_s1_toler_1) & m2_relset_1(A,f1_s1_toler_1,f1_s1_toler_1) & (all B all C (r2_hidden(B,f1_s1_toler_1) & r2_hidden(C,f1_s1_toler_1) -> (p1_s1_toler_1(B,C) <-> r2_hidden(k4_tarski(B,C),A)))) & v1_relat_2(A))) # label(s1_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5684 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> (all C ((all D (r2_hidden(D,C) <-> m1_toler_1(D,A,B))) <-> C = k3_toler_1(A,B))))) # label(d6_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5685 $T # label(t31_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5686 (all A all B (v1_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> r1_tarski(k6_partfun1(A),B))) # label(t50_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5687 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> r3_relat_2(B,A))) # label(t29_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5688 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> r1_tarski(k4_toler_1(A,B),k3_toler_1(A,B)))) # label(t72_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5689 (all A all B all C (v1_relat_2(C) & v3_relat_2(C) & v1_partfun1(C,B,B) & m2_relset_1(C,B,B) -> (m1_toler_1(A,B,C) -> r1_tarski(A,B)))) # label(t43_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5690 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> (all C all D (v1_toler_1(D,A,B) & m1_toler_1(D,A,B) -> (r2_hidden(C,D) -> r1_tarski(D,k6_eqrel_1(A,B,C))))))) # label(t70_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5691 $T # label(d2_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5692 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> ((all C (r2_hidden(C,A) -> m1_toler_1(k6_eqrel_1(A,B,C),A,B))) -> v8_relat_2(B)))) # label(t68_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5693 (all A all B (v1_relat_2(B) & v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) -> (all C (v1_relat_2(C) & v3_relat_2(C) & m2_relset_1(C,A,A) & v1_partfun1(C,A,A) -> ((all D (r2_hidden(D,A) -> r1_tarski(k6_eqrel_1(A,B,D),k6_eqrel_1(A,C,D)))) -> r1_tarski(B,C)))))) # label(t73_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5694 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> m1_toler_1(k1_xboole_0,A,B))) # label(t34_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5695 $T # label(t14_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5696 (all A all B (v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v1_relat_2(B) -> (all C all D (m1_toler_1(D,A,B) & m1_toler_1(C,A,B) -> m1_toler_1(k3_xboole_0(C,D),A,B))))) # label(t42_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.73 5697 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> r1_relat_2(B,A))) # label(t28_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5698 (all A all B all C (v1_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) -> (r2_hidden(B,A) <-> r2_hidden(k4_tarski(B,B),C)))) # label(t27_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5699 $T # label(dt_k4_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5700 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C (m1_toler_1(C,A,B) -> ((all D -(-r2_hidden(D,C) & (all E -(-r2_hidden(k4_tarski(D,E),B) & r2_hidden(E,C))) & r2_hidden(D,A))) <-> v1_toler_1(C,A,B)))))) # label(d4_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5701 (all A all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> k3_tarski(k3_toler_1(A,B)) = A)) # label(t67_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5702 (all A all B all C (v1_relat_2(B) & v3_relat_2(B) & m1_relset_1(B,A,A) & m1_subset_1(C,k1_zfmisc_1(A)) & v1_partfun1(B,A,A) -> v3_relat_2(k2_toler_1(A,B,C)) & m2_relset_1(k2_toler_1(A,B,C),C,C) & v1_partfun1(k2_toler_1(A,B,C),C,C) & v1_relat_2(k2_toler_1(A,B,C)))) # label(dt_k2_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5703 $T # label(t57_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5704 (all A all B all C (v1_relat_2(C) & v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) -> (all D (r2_hidden(k4_tarski(B,D),C) <-> r2_hidden(D,k6_eqrel_1(A,C,B)))))) # label(t54_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5705 (all A all B (v1_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C all D -((all E (v1_toler_1(E,A,B) & m1_toler_1(E,A,B) -> -(r2_hidden(D,E) & r2_hidden(C,E)))) & r2_hidden(k4_tarski(C,D),B))))) # label(t46_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5706 $T # label(t61_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5707 $T # label(t37_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5708 $T # label(t24_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5709 (all A all B all C (m2_relset_1(C,B,B) & v1_partfun1(C,B,B) & v3_relat_2(C) & v1_relat_2(C) -> (r1_tarski(A,B) -> v3_relat_2(k1_toler_1(C,A)) & v1_partfun1(k1_toler_1(C,A),A,A) & m2_relset_1(k1_toler_1(C,A),A,A) & v1_relat_2(k1_toler_1(C,A))))) # label(t33_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5710 $T # label(t62_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5711 (all A all B all C (r2_hidden(B,k3_relat_1(k1_eqrel_1(A))) & r2_hidden(C,k3_relat_1(k1_eqrel_1(A))) -> r2_hidden(k4_tarski(B,C),k1_eqrel_1(A)))) # label(t16_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5712 $T # label(d1_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5713 (all A all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v1_relat_2(B) -> r1_tarski(B,k7_relset_1(A,A,A,A,B,B)))) # label(t74_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5714 (all A all B (v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) & v1_relat_2(B) -> (all C (v3_relat_2(C) & v1_partfun1(C,A,A) & m2_relset_1(C,A,A) & v1_relat_2(C) -> (r1_tarski(B,C) <-> r1_tarski(k3_toler_1(A,B),k3_toler_1(A,C))))))) # label(t71_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5715 $T # label(d5_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5716 (all A v7_relat_2(k1_eqrel_1(A))) # label(t19_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5717 (all A all B (m2_relset_1(B,k3_tarski(A),k3_tarski(A)) & v1_partfun1(B,k3_tarski(A),k3_tarski(A)) & v3_relat_2(B) & v1_relat_2(B) -> (all C (v3_relat_2(C) & m2_relset_1(C,k3_tarski(A),k3_tarski(A)) & v1_partfun1(C,k3_tarski(A),k3_tarski(A)) & v1_relat_2(C) -> ((all D all E (r2_hidden(k4_tarski(D,E),B) <-> (exists F (r2_hidden(F,A) & r2_hidden(D,F) & r2_hidden(E,F))))) & (all D all E (r2_hidden(k4_tarski(D,E),C) <-> (exists F (r2_hidden(D,F) & r2_hidden(E,F) & r2_hidden(F,A))))) -> B = C))))) # label(t52_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5718 (all A A = k5_relset_1(A,A,k1_eqrel_1(A))) # label(t13_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5719 $T # label(t60_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5720 (all A all B (v1_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> (v8_relat_2(B) -> (all C (r2_hidden(C,A) -> v1_toler_1(k6_eqrel_1(A,B,C),A,B) & m1_toler_1(k6_eqrel_1(A,B,C),A,B)))))) # label(t69_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5721 (all A all B (v1_relat_2(B) & v3_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (all C (k4_toler_1(A,B) = C <-> (all D (v1_toler_1(D,A,B) & m1_toler_1(D,A,B) <-> r2_hidden(D,C))))))) # label(d7_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5722 $T # label(dt_k3_toler_1) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5723 (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 k4_card_1(k10_relat_1(B,C)) = k4_card_1(k10_relat_1(A,C))) <-> r1_rfinseq(A,B)))))) # label(t13_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5724 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (np__0 != B -> k3_funct_2(k5_numbers,k1_numbers,k9_rvsum_1(B,A),k1_tarski(C)) = k3_funct_2(k5_numbers,k1_numbers,A,k1_tarski(k6_real_1(C,B)))))))))) # label(t37_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5725 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_rfinseq(A,B) -> k2_relat_1(A) = k2_relat_1(B)))))) # label(t1_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5726 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k2_rfinseq(k1_rfinseq(k1_numbers,A,B)) = k1_rfinseq(k1_numbers,k2_rfinseq(A),B))))) # label(t28_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5727 (exists A (m1_finseq_1(A,k1_numbers) & v1_funct_1(A) & v1_rfinseq(A) & v1_finseq_1(A) & v1_finset_1(A) & v1_relat_1(A))) # label(rc1_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5728 (all A (v1_relat_1(A) -> (all B (v1_relat_1(B) -> (r1_rfinseq(A,B) <-> (all C k1_card_1(k10_relat_1(A,k1_tarski(C))) = k1_card_1(k10_relat_1(B,k1_tarski(C))))))))) # label(d1_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5729 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_rfinseq(A,B) <-> (exists C (v1_relat_1(C) & k1_relat_1(A) = k1_relat_1(C) & v2_funct_1(C) & k5_relat_1(C,B) = A & k2_relat_1(C) = k1_relat_1(B) & v1_funct_1(C)))))))) # label(t3_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5730 (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_rfinseq(A,B) <-> (exists C (v1_funct_1(C) & v3_funct_2(C,k1_relat_1(A),k1_relat_1(A)) & k5_relat_1(C,B) = A & m2_relset_1(C,k1_relat_1(A),k1_relat_1(A)) & v1_funct_2(C,k1_relat_1(A),k1_relat_1(A)))))))))) # label(t6_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5731 (all A all B (v1_relat_1(A) & v1_finset_1(B) & v1_funct_1(A) -> v1_relat_1(k7_relat_1(A,B)) & v1_finset_1(k7_relat_1(A,B)) & v1_funct_1(k7_relat_1(A,B)))) # label(fc1_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5732 (all A (m2_finseq_1(A,k1_numbers) -> (k3_finseq_1(A) != np__0 -> k2_seq_1(k5_numbers,k1_numbers,A,np__1) = k15_rvsum_1(k2_rfinseq(A))))) # label(t29_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5733 (all A all B all C (m1_finseq_1(B,A) & m1_subset_1(C,k5_numbers) -> m2_finseq_1(k1_rfinseq(A,B,C),A))) # label(dt_k1_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5734 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k8_finseq_1(A,k16_finseq_1(A,B,C),k1_rfinseq(A,B,C)) = B)))))) # label(t21_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5735 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_tarski(k2_relat_1(C),A) & r1_tarski(k2_relat_1(B),A) -> ((all D (m1_subset_1(D,A) -> k1_card_1(k10_relat_1(B,k1_tarski(D))) = k1_card_1(k10_relat_1(C,k1_tarski(D))))) <-> r1_rfinseq(B,C))))))))) # label(t5_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5736 (all A (m2_finseq_1(A,k1_numbers) -> k3_funct_2(k5_numbers,k1_numbers,k9_rvsum_1(np__0,A),k1_tarski(np__0)) = k4_finseq_1(A))) # label(t38_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5737 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> ((all C k1_card_1(k10_relat_1(A,C)) = k1_card_1(k10_relat_1(B,C))) <-> r1_rfinseq(A,B)))))) # label(t4_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5738 (all A (m2_finseq_1(A,k1_numbers) -> (k3_finseq_1(A) = np__0 | k3_finseq_1(A) = np__1 -> v1_rfinseq(A)))) # label(t31_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5739 $T # label(t12_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5740 (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) -> ((exists C (v1_funct_1(C) & v1_funct_2(C,k4_finseq_1(B),k4_finseq_1(B)) & m2_relset_1(C,k4_finseq_1(B),k4_finseq_1(B)) & A = k5_relat_1(C,B) & v3_funct_2(C,k4_finseq_1(B),k4_finseq_1(B)))) <-> r1_rfinseq(A,B)))))) # label(t17_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5741 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m2_finseq_1(B,k1_numbers) -> (k2_rfinseq(A) = B <-> k2_seq_1(k5_numbers,k1_numbers,A,k3_finseq_1(A)) = k2_seq_1(k5_numbers,k1_numbers,B,k3_finseq_1(B)) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r1_xreal_0(C,k5_real_1(k3_finseq_1(B),np__1)) & r1_xreal_0(np__1,C) -> k2_seq_1(k5_numbers,k1_numbers,B,C) = k5_real_1(k2_seq_1(k5_numbers,k1_numbers,A,C),k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(C,np__1)))))) & k3_finseq_1(B) = k3_finseq_1(A)))))) # label(d3_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5742 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> k2_rfinseq(k2_finseq_4(k1_numbers,A,B)) = k2_finseq_4(k1_numbers,k5_real_1(A,B),B))))) # label(t27_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5743 (all A (m1_finseq_1(A,k1_numbers) -> m2_finseq_1(k2_rfinseq(A),k1_numbers))) # label(dt_k2_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5744 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m2_finseq_1(B,k1_numbers) -> (r1_rfinseq(A,B) -> k15_rvsum_1(A) = k15_rvsum_1(B)))))) # label(t22_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5745 (all A all B (v1_relat_1(A) & v1_relat_1(B) -> r1_rfinseq(A,A))) # label(reflexivity_r1_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5746 (all A (v1_rfinseq(A) & m2_finseq_1(A,k1_numbers) -> (all B (m2_finseq_1(B,k1_numbers) & v1_rfinseq(B) -> (r1_rfinseq(A,B) -> B = A))))) # label(t36_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5747 (all A (m2_finseq_1(A,k1_numbers) & v1_rfinseq(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> v1_rfinseq(k1_rfinseq(k1_numbers,A,B)) & m2_finseq_1(k1_rfinseq(k1_numbers,A,B),k1_numbers))))) # label(t34_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5748 (all A all B (m2_finseq_1(B,A) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_finseq_1(D,A) -> (-r1_xreal_0(C,k3_finseq_1(B)) -> (k1_rfinseq(A,B,C) = D <-> k6_finseq_1(A) = D)) & (r1_xreal_0(C,k3_finseq_1(B)) -> (D = k1_rfinseq(A,B,C) <-> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(D)) -> k1_funct_1(B,k1_nat_1(E,C)) = k1_funct_1(D,E)))) & k3_finseq_1(D) = k5_real_1(k3_finseq_1(B),C))))))))) # label(d2_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5749 (all A all B (v1_relat_1(B) & v1_relat_1(A) -> (r1_rfinseq(A,B) -> r1_rfinseq(B,A)))) # label(symmetry_r1_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5750 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r1_rfinseq(A,B) & r1_rfinseq(A,C) -> r1_rfinseq(B,C)))))))) # label(t2_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5751 $T # label(t8_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5752 (all A (m2_finseq_1(A,k1_numbers) -> (exists B (r1_rfinseq(A,B) & m2_finseq_1(B,k1_numbers) & v1_rfinseq(B))))) # label(t35_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5753 (all A (-v1_xboole_0(A) -> (all B (v1_finset_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_finset_1(C) & v1_relat_1(C) -> (r1_tarski(k2_relat_1(C),A) & r1_tarski(k2_relat_1(B),A) -> (r1_rfinseq(B,C) <-> (all D (m1_subset_1(D,A) -> k4_card_1(k10_relat_1(C,k1_tarski(D))) = k4_card_1(k10_relat_1(B,k1_tarski(D))))))))))))) # label(t11_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5754 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_rfinseq(A,B) -> k1_card_1(k1_relat_1(B)) = k1_card_1(k1_relat_1(A))))))) # label(t7_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5755 (all A (v1_finset_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_finset_1(B) & v1_relat_1(B) -> (r1_rfinseq(A,B) <-> (all C k4_card_1(k10_relat_1(B,C)) = k4_card_1(k10_relat_1(A,C)))))))) # label(t9_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5756 (all A (m2_finseq_1(A,k1_numbers) -> (v1_rfinseq(A) <-> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(B,k4_finseq_1(A)) & r2_hidden(C,k4_finseq_1(A)) -> r1_xreal_0(C,B) | r1_xreal_0(k2_seq_1(k5_numbers,k1_numbers,A,C),k2_seq_1(k5_numbers,k1_numbers,A,B)))))))))) # label(t32_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5757 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_finset_1(B) -> (exists C (v1_funct_1(C) & v1_finseq_1(C) & r1_rfinseq(k7_relat_1(A,B),C) & v1_relat_1(C))))))) # label(t18_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5758 (all A (v1_rfinseq(A) & m2_finseq_1(A,k1_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> m2_finseq_1(k16_finseq_1(k1_numbers,A,B),k1_numbers) & v1_rfinseq(k16_finseq_1(k1_numbers,A,B)))))) # label(t33_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5759 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(B)) & r2_hidden(D,k2_finseq_1(C)) -> r2_hidden(D,k4_finseq_1(B)) & k1_funct_1(k16_finseq_1(A,B,C),D) = k1_funct_1(B,D)))))))))) # label(t19_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5760 (all A (v1_finset_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_finset_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (r1_rfinseq(A,B) -> k4_card_1(k1_relat_1(A)) = k4_card_1(k1_relat_1(B))))))) # label(t10_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5761 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (D = k1_funct_1(B,k1_nat_1(C,np__1)) & k1_nat_1(C,np__1) = k3_finseq_1(B) -> B = k7_finseq_1(k16_finseq_1(A,B,C),k9_finseq_1(D)))))))))) # label(t20_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5762 (all A (m1_subset_1(A,k1_numbers) -> k12_finseq_1(k1_numbers,A) = k2_rfinseq(k12_finseq_1(k1_numbers,A)))) # label(t26_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5763 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (k3_finseq_1(A) = k1_nat_1(C,np__2) & B = k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(C,np__1)) -> k8_finseq_1(k1_numbers,k16_finseq_1(k1_numbers,k2_rfinseq(A),C),k12_finseq_1(k1_numbers,B)) = k2_rfinseq(k16_finseq_1(k1_numbers,A,k1_nat_1(C,np__1)))))))))) # label(t23_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5764 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_xreal_0(np__1,B) -> r1_xreal_0(k3_finseq_1(A),B) | k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(B,np__1)) = k15_rvsum_1(k2_rfinseq(k1_rfinseq(k1_numbers,A,B)))))))) # label(t30_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.74 5765 (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_rfinseq(A,B) -> k4_finseq_1(A) = k4_finseq_1(B) & k3_finseq_1(A) = k3_finseq_1(B)))))) # label(t16_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5766 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (r1_rfinseq(k7_finseq_1(A,C),k7_finseq_1(B,C)) <-> r1_rfinseq(A,B)))))))) # label(t14_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5767 (all A (m2_finseq_1(A,k1_numbers) -> (v1_rfinseq(A) <-> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(k1_nat_1(B,np__1),k4_finseq_1(A)) & r2_hidden(B,k4_finseq_1(A)) -> r1_xreal_0(k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(B,np__1)),k2_seq_1(k5_numbers,k1_numbers,A,B)))))))) # label(d4_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5768 (all A (m2_finseq_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(D,np__2)) = C & B = k2_seq_1(k5_numbers,k1_numbers,A,k1_nat_1(D,np__1)) & k1_nat_1(D,np__2) = k3_finseq_1(A) -> k8_finseq_1(k1_numbers,k16_finseq_1(k1_numbers,k2_rfinseq(A),D),k2_finseq_4(k1_numbers,k5_real_1(B,C),C)) = k2_rfinseq(A)))))))))) # label(t24_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5769 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) -> r1_rfinseq(k7_finseq_1(A,B),k7_finseq_1(B,A)))))) # label(t15_rfinseq) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5770 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v1_card_5(A) & v5_card_fil(A) <-> v6_card_fil(A)))) # label(d15_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5771 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(B))))) # label(dt_m1_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5772 r2_hidden(f2_s1_card_fil,a_0_0_card_fil) -> p1_s1_card_fil(f2_s1_card_fil) # label(s1_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5773 (all A (-v2_card_1(A) & v1_card_1(A) -> (all B (v1_card_1(B) -> (k2_card_1(B) = A <-> B = k7_card_fil(A)))))) # label(d17_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5774 (all A (r2_hidden(A,a_0_0_card_fil) <-> (exists B (m1_subset_1(B,f1_s1_card_fil) & p1_s1_card_fil(B) & A = B)))) # label(fraenkel_a_0_0_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5775 (all A (-v1_finset_1(A) & v1_card_1(A) & v4_card_fil(A) -> v2_ordinal1(A) & v3_ordinal1(A) & -v1_xboole_0(A) & -v1_finset_1(A) & v1_card_5(A) & v2_card_1(A) & v1_card_1(A) & v1_ordinal1(A))) # label(cc2_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5776 (all A (-v2_card_1(A) & v1_card_1(A) & -v1_finset_1(A) -> v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) & v1_card_5(A) & v1_card_1(A) & -v1_finset_1(A) & -v1_xboole_0(A))) # label(cc6_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5777 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v7_card_fil(A) -> v1_card_5(A)))) # label(t33_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5778 (all A (-v2_card_1(A) & v1_card_1(A) & -v1_finset_1(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(k7_card_fil(A),A),k1_zfmisc_1(A)) & v1_funct_2(B,k2_zfmisc_1(k7_card_fil(A),A),k1_zfmisc_1(A)) -> (r4_card_fil(A,B) <-> (all C (m1_subset_1(C,k7_card_fil(A)) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (D != E -> v1_xboole_0(k5_subset_1(A,k2_binop_1(k7_card_fil(A),A,k1_zfmisc_1(A),B,C,D),k2_binop_1(k7_card_fil(A),A,k1_zfmisc_1(A),B,C,E)))))))))) & (all C (m1_subset_1(C,A) -> r1_tarski(k1_card_1(k1_card_fil(A,k3_tarski(a_3_3_card_fil(A,B,C)))),k7_card_fil(A)))) & (all C (m1_subset_1(C,k7_card_fil(A)) -> r1_tarski(k1_card_1(k1_card_fil(A,k3_tarski(a_3_2_card_fil(A,B,C)))),k7_card_fil(A)))) & (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,k7_card_fil(A)) -> (all E (m1_subset_1(E,k7_card_fil(A)) -> (D != E -> v1_xboole_0(k5_subset_1(A,k2_binop_1(k7_card_fil(A),A,k1_zfmisc_1(A),B,D,C),k2_binop_1(k7_card_fil(A),A,k1_zfmisc_1(A),B,E,C))))))))))))))) # label(d18_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5779 (all A (v1_card_1(A) & -v1_finset_1(A) -> k3_card_2(np__2,A) = k2_card_1(A))) <-> r3_card_fil # label(d12_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5780 (all A (-v1_finset_1(A) -> k5_card_fil(A) = a_1_1_card_fil(A))) # label(d10_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5781 (all A (-v1_finset_1(A) & v1_card_1(A) & -v2_card_1(A) -> (exists B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(k7_card_fil(A),A),k1_zfmisc_1(A)) & r4_card_fil(A,B) & v1_funct_2(B,k2_zfmisc_1(k7_card_fil(A),A),k1_zfmisc_1(A)))))) # label(t34_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5782 (all A (-v1_xboole_0(A) -> a_1_0_card_fil(A) = k4_card_fil(A))) # label(d9_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5783 (all A all B (-v1_xboole_0(B) -> ((exists C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & m1_card_fil(C,B) & C = A)) <-> r2_hidden(A,a_1_0_card_fil(B))))) # label(fraenkel_a_1_0_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5784 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v7_card_fil(A) <-> (exists B (m1_card_fil(B,A) & r1_card_fil(A,A,B) & -v2_card_fil(B,A) & v3_card_fil(B,A)))))) # label(d16_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5785 (all A (-v1_finset_1(A) -> m1_card_fil(k5_card_fil(A),A))) # label(dt_k5_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5786 (all A (-v1_finset_1(A) -> (all B (m1_card_fil(B,A) & v3_card_fil(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r2_hidden(C,B) <-> -r2_hidden(C,k2_card_fil(A,B))))))))) # label(t22_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5787 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v7_card_fil(A) -> v4_card_fil(A)))) # label(t39_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5788 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(C,B) & r1_tarski(C,D) -> r2_hidden(D,B)) & (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k5_subset_1(A,C,D),B)))))) & -r2_hidden(k1_xboole_0,B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) <-> m1_card_fil(B,A))))) # label(t3_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5789 (all A all B (m1_card_fil(B,A) & -v1_xboole_0(A) -> k7_setfam_1(A,B) = k2_card_fil(A,B))) # label(redefinition_k2_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5790 (all A all B all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & -v1_xboole_0(B) -> (r2_hidden(A,a_2_1_card_fil(B,C)) <-> (exists D (A = k3_subset_1(B,D) & r2_hidden(D,C) & m1_subset_1(D,k1_zfmisc_1(B))))))) # label(fraenkel_a_2_1_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5791 (all A all B (-v1_finset_1(B) -> r2_hidden(k1_card_1(k1_tarski(A)),k1_card_1(B)))) # label(t1_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5792 (all A (-v1_finset_1(A) -> m2_card_fil(k6_card_fil(A),A))) # label(dt_k6_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5793 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_card_fil(C,A) -> ((all D (m1_subset_1(D,k1_zfmisc_1(A)) -> -(r2_hidden(D,C) & r1_xboole_0(D,B)))) -> r2_hidden(B,k3_card_fil(A,C,B)) & m1_card_fil(k3_card_fil(A,C,B),A) & r1_tarski(C,k3_card_fil(A,C,B))))))))) # label(t14_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5794 (all A (-v1_finset_1(A) -> (all B (m1_card_fil(B,A) -> (r1_card_fil(A,k1_card_1(A),B) & v3_card_fil(B,A) -> v1_card_fil(B,A) | v2_card_fil(B,A)))))) # label(t23_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5795 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(B) -> a_2_1_card_fil(A,B) = k7_setfam_1(A,B))))) # label(t9_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5796 (all A (-v1_xboole_0(A) -> -v1_xboole_0(k1_tarski(A)) & m1_subset_1(k1_tarski(A),k1_zfmisc_1(k1_zfmisc_1(A))) & -r2_hidden(k1_xboole_0,k1_tarski(A)) & (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_tarski(B,C) & r2_hidden(B,k1_tarski(A)) -> r2_hidden(C,k1_tarski(A))) & (r2_hidden(B,k1_tarski(A)) & r2_hidden(C,k1_tarski(A)) -> r2_hidden(k5_subset_1(A,B,C),k1_tarski(A))))))))) # label(t2_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5797 (all A (-v1_finset_1(A) -> (all B (m1_card_fil(B,A) -> (r1_tarski(k5_card_fil(A),B) -> v1_card_fil(B,A)))))) # label(t20_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5798 (all A all B (-v1_xboole_0(A) & m1_card_fil(B,A) -> m2_card_fil(k2_card_fil(A,B),A))) # label(dt_k2_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5799 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (v2_card_fil(B,A) <-> (exists C ((all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,B) -> r1_tarski(C,D)))) & r2_hidden(C,B) & m1_subset_1(C,k1_zfmisc_1(A))))))))) # label(d6_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5800 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(B)) & m1_card_fil(C,B) & -v1_xboole_0(B) -> (r2_hidden(A,a_3_0_card_fil(B,C,D)) <-> (exists E (m1_subset_1(E,k1_zfmisc_1(B)) & (exists F (m1_subset_1(F,k1_zfmisc_1(B)) & r1_tarski(F,E) & r2_hidden(F,a_3_1_card_fil(B,C,D)))) & E = A))))) # label(fraenkel_a_3_0_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5801 (all A (-v1_xboole_0(A) -> (all B (r2_hidden(B,k4_card_fil(A)) <-> m1_card_fil(B,A))))) # label(t15_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5802 (all A all B m1_subset_1(k1_card_fil(A,B),k1_zfmisc_1(A))) # label(dt_k1_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5803 (all A (-v2_card_1(A) & v1_card_1(A) & -v1_finset_1(A) -> (all B (m1_card_fil(B,A) -> -(v1_card_fil(B,A) & v3_card_fil(B,A) & r1_card_fil(A,A,B)))))) # label(t37_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5804 (all A all B all C (-v1_xboole_0(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) & -v1_xboole_0(C) -> (r2_hidden(A,a_2_0_card_fil(B,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(B)) & A = D & r2_hidden(k3_subset_1(B,D),C)))))) # label(fraenkel_a_2_0_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5805 (all A (-v1_finset_1(A) & v1_card_1(A) -> -v1_xboole_0(k2_card_1(A)) & v1_card_1(k2_card_1(A)) & -v2_card_1(k2_card_1(A)) & -v1_finset_1(k2_card_1(A)) & v3_ordinal1(k2_card_1(A)) & v2_ordinal1(k2_card_1(A)) & v1_ordinal1(k2_card_1(A)))) # label(fc3_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5806 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> ((all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,C) <-> r2_hidden(k3_subset_1(A,D),B)))) -> -r2_hidden(A,C) & (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (r2_hidden(D,C) & r1_tarski(E,D) -> r2_hidden(E,C)) & (r2_hidden(E,C) & r2_hidden(D,C) -> r2_hidden(k4_subset_1(A,D,E),C))))))))))))) # label(t7_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5807 (all A all B (m1_card_fil(B,A) & -v1_xboole_0(A) -> k2_card_fil(A,k2_card_fil(A,B)) = B)) # label(involutiveness_k2_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5808 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (v1_card_fil(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r2_hidden(C,B) -> k1_card_1(A) = k1_card_1(C))))))))) # label(d5_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5809 (all A (-v1_finset_1(A) & v1_card_1(A) & v6_card_fil(A) -> v1_ordinal1(A) & v3_ordinal1(A) & -v1_xboole_0(A) & v1_card_5(A) & v5_card_fil(A) & v2_card_1(A) & v1_card_1(A) & -v1_finset_1(A) & v2_ordinal1(A))) # label(cc4_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5810 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_card_fil(C,B) -> (r2_hidden(A,a_3_1_card_fil(B,C,D)) <-> (exists E (A = k5_subset_1(B,E,D) & r2_hidden(E,C) & m1_subset_1(E,k1_zfmisc_1(B))))))) # label(fraenkel_a_3_1_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5811 (all A all B all C all D (-v2_card_1(B) & v1_funct_2(C,k2_zfmisc_1(k7_card_fil(B),B),k1_zfmisc_1(B)) & m1_subset_1(D,B) & m2_relset_1(C,k2_zfmisc_1(k7_card_fil(B),B),k1_zfmisc_1(B)) & v1_funct_1(C) & v1_card_1(B) & -v1_finset_1(B) -> ((exists E (m1_subset_1(E,k7_card_fil(B)) & r2_hidden(E,k7_card_fil(B)) & A = k2_binop_1(k7_card_fil(B),B,k1_zfmisc_1(B),C,E,D))) <-> r2_hidden(A,a_3_3_card_fil(B,C,D))))) # label(fraenkel_a_3_3_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5812 (all A (-v1_xboole_0(A) -> (all B (m2_card_fil(B,A) -> m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(B))))) # label(dt_m2_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5813 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_card_fil(C,A) -> -(r2_hidden(k1_card_fil(A,B),C) & r2_hidden(B,C)))))))) # label(t6_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5814 (all A (-v1_finset_1(A) -> k6_card_fil(A) = k2_card_fil(A,k5_card_fil(A)))) # label(d11_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5815 (all A all B k4_xboole_0(A,B) = k1_card_fil(A,B)) # label(redefinition_k1_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5816 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v6_card_fil(A) -> v4_card_fil(A)))) # label(t30_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5817 (all A (-v1_finset_1(A) -> v1_ordinal1(k1_card_1(A)) & v3_ordinal1(k1_card_1(A)) & v1_card_1(k1_card_1(A)) & -v1_finset_1(k1_card_1(A)) & -v1_xboole_0(k1_card_1(A)) & v2_ordinal1(k1_card_1(A)))) # label(fc1_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5818 (all A (-v1_finset_1(A) -> (all B (m1_card_fil(B,A) -> (v3_card_fil(B,A) & v1_card_fil(B,A) -> -v2_card_fil(B,A)))))) # label(cc1_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5819 (all A (-v1_finset_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (r2_hidden(B,k5_card_fil(A)) <-> r2_hidden(k1_card_1(k1_card_fil(A,B)),k1_card_1(A))))))) # label(t18_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5820 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k4_card_fil(A))) -> (v6_ordinal1(B) -> m1_card_fil(k3_tarski(B),A)))))) # label(t16_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5821 (all A (-v1_xboole_0(A) -> (exists B m2_card_fil(B,A)))) # label(existence_m2_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5822 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (all C (m2_card_fil(C,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> -(r2_hidden(D,k2_card_fil(A,B)) & r2_hidden(D,B)))) & (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> -(r2_hidden(D,k7_setfam_1(A,C)) & r2_hidden(D,C)))))))))) # label(t10_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5823 (all A all B (-v1_finset_1(B) -> (r2_hidden(A,a_1_1_card_fil(B)) <-> (exists C (r2_hidden(k1_card_1(k1_card_fil(B,C)),k1_card_1(B)) & C = A & m1_subset_1(C,k1_zfmisc_1(B))))))) # label(fraenkel_a_1_1_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5824 (all A (v1_card_1(A) -> r1_tarski(k2_card_1(A),k3_card_2(np__2,A)))) # label(t24_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5825 (all A (v1_card_1(A) & v5_card_fil(A) & -v1_finset_1(A) -> v2_ordinal1(A) & v3_ordinal1(A) & -v1_finset_1(A) & v2_card_1(A) & v1_card_1(A) & -v1_xboole_0(A) & v1_ordinal1(A))) # label(cc3_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5826 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (exists C (r1_tarski(B,C) & v3_card_fil(C,A) & m1_card_fil(C,A))))))) # label(t17_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5827 (all A (-v1_xboole_0(A) -> m1_card_fil(k1_tarski(A),A))) # label(t4_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5828 (all A (v1_card_1(A) & -v2_card_1(A) -> v1_card_1(k7_card_fil(A)))) # label(dt_k7_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5829 (all A (-v1_finset_1(A) -> (all B (m1_card_fil(B,A) -> (v1_card_fil(B,A) & v3_card_fil(B,A) -> r1_tarski(k5_card_fil(A),B)))))) # label(t21_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5830 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> a_3_0_card_fil(A,B,C) = k3_card_fil(A,B,C))))))) # label(d8_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5831 (all A (-v1_finset_1(A) & v1_card_1(A) -> (r3_card_fil & v4_card_fil(A) -> v6_card_fil(A)))) # label(t31_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5832 (all A (v1_card_1(A) & -v2_card_1(A) & -v1_finset_1(A) -> (all B (m2_card_fil(B,A) -> -(r1_tarski(k6_card_fil(A),B) & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> -((all D -(r2_hidden(D,C) & r2_hidden(D,B))) & (all D all E (r2_hidden(D,C) & r2_hidden(E,C) -> r1_xboole_0(D,E) | D = E)) & A = k1_card_1(C)))) & r2_card_fil(A,A,B)))))) # label(t35_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5833 (all A (-v1_xboole_0(A) -> (all B (v1_card_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(C) -> ((all D (-v1_xboole_0(D) -> (r1_tarski(D,C) & r2_hidden(k1_card_1(D),B) -> r2_hidden(k3_tarski(D),C)))) <-> r2_card_fil(A,B,C)))))))) # label(d4_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5834 (all A (-v1_finset_1(A) & -v2_card_1(A) & v1_card_1(A) -> v1_ordinal1(k7_card_fil(A)) & v3_ordinal1(k7_card_fil(A)) & -v1_xboole_0(k7_card_fil(A)) & v1_card_1(k7_card_fil(A)) & -v1_finset_1(k7_card_fil(A)) & v2_ordinal1(k7_card_fil(A)))) # label(fc4_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5835 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> (v3_card_fil(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> r2_hidden(C,B) | r2_hidden(k1_card_fil(A,C),B)))))))) # label(d7_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5836 (all A (v3_ordinal1(A) & v4_ordinal1(A) -> (all B (r1_tarski(B,A) & A = k7_ordinal2(B) -> k3_tarski(B) = A)))) # label(t32_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5837 (all A all B all C (m1_card_fil(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) & -v1_xboole_0(A) -> m1_subset_1(k3_card_fil(A,B,C),k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(k3_card_fil(A,B,C)))) # label(dt_k3_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5838 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v7_card_fil(A) -> v6_card_fil(A)))) # label(t41_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5839 (all A (-v1_finset_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (r2_hidden(k1_card_1(B),k1_card_1(A)) <-> r2_hidden(B,k6_card_fil(A))))))) # label(t19_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5840 (all A (-v1_xboole_0(A) -> (all B (m1_card_fil(B,A) -> r2_hidden(A,B))))) # label(t5_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5841 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v5_card_fil(A) -> v2_card_1(A)))) # label(t27_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5842 (all A (-v1_finset_1(A) & v6_card_fil(A) & v1_card_1(A) -> -v1_finset_1(A) & v2_card_1(A) & v1_card_5(A) & v4_card_fil(A) & v1_card_1(A) & -v1_xboole_0(A) & v3_ordinal1(A) & v2_ordinal1(A) & v1_ordinal1(A))) # label(cc5_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5843 (all A (-v1_xboole_0(A) -> -v1_xboole_0(k4_card_fil(A)) & m1_subset_1(k4_card_fil(A),k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(A)))))) # label(dt_k4_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5844 (all A all B all C all D (v1_card_1(B) & -v2_card_1(B) & v1_funct_1(C) & m1_subset_1(D,k7_card_fil(B)) & m2_relset_1(C,k2_zfmisc_1(k7_card_fil(B),B),k1_zfmisc_1(B)) & v1_funct_2(C,k2_zfmisc_1(k7_card_fil(B),B),k1_zfmisc_1(B)) & -v1_finset_1(B) -> ((exists E (r2_hidden(E,B) & A = k2_binop_1(k7_card_fil(B),B,k1_zfmisc_1(B),C,D,E) & m1_subset_1(E,B))) <-> r2_hidden(A,a_3_2_card_fil(B,C,D))))) # label(fraenkel_a_3_2_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5845 (all A (-v1_xboole_0(A) -> (all B (m2_card_fil(B,A) -> r2_hidden(k1_xboole_0,B))))) # label(t11_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5846 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v7_card_fil(A) -> v2_card_1(A)))) # label(t38_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5847 (exists A (v2_ordinal1(A) & v3_ordinal1(A) & -v1_finset_1(A) & v1_card_1(A) & -v2_card_1(A) & -v1_xboole_0(A) & v1_ordinal1(A))) # label(rc2_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5848 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v2_card_1(A) & v1_card_5(A) <-> v4_card_fil(A)))) # label(d13_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5849 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> -v1_xboole_0(k7_setfam_1(A,B)))) # label(fc2_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5850 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_card_fil(C,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,k3_card_fil(A,C,B)) <-> (exists E (r2_hidden(E,C) & r1_tarski(k5_subset_1(A,E,B),D) & m1_subset_1(E,k1_zfmisc_1(A))))))))))))) # label(t13_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5851 (all A (-v1_finset_1(A) -> (exists B (v3_card_fil(B,A) & -v2_card_fil(B,A) & -v1_xboole_0(B) & m1_card_fil(B,A))))) # label(rc1_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5852 (all A (v1_card_1(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) -> (r1_card_fil(B,A,C) -> r2_card_fil(B,A,k7_setfam_1(B,C))))))))) # label(t12_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5853 (all A (v1_card_1(A) & -v1_finset_1(A) -> ((all B (v1_card_1(B) -> (r2_hidden(B,A) -> r2_hidden(k3_card_2(np__2,B),A)))) <-> v5_card_fil(A)))) # label(d14_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5854 (all A (v1_card_1(A) & -v1_finset_1(A) -> (v7_card_fil(A) -> v5_card_fil(A)))) # label(t40_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5855 (all A all B (v1_card_1(B) -> -((all C -(r1_tarski(C,A) & k1_card_1(C) = B)) & r1_tarski(B,k1_card_1(A))))) # label(t36_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5856 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (m1_card_fil(B,A) <-> -r2_hidden(k1_xboole_0,B) & (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r1_tarski(C,D) & r2_hidden(C,B) -> r2_hidden(D,B)) & (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k5_subset_1(A,C,D),B))))))))))) # label(d1_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5857 (all A (-v1_xboole_0(A) -> (all B (v1_card_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(C) -> ((all D (-v1_xboole_0(D) -> (r2_hidden(k1_card_1(D),B) & r1_tarski(D,C) -> r2_hidden(k1_setfam_1(D),C)))) <-> r1_card_fil(A,B,C)))))))) # label(d3_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5858 (all A (-v1_xboole_0(A) -> (exists B m1_card_fil(B,A)))) # label(existence_m1_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5859 (all A (-v1_finset_1(A) & v1_card_1(A) -> (v2_card_1(A) & r3_card_fil -> v5_card_fil(A)))) # label(t28_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5860 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k7_setfam_1(A,B) = a_2_0_card_fil(A,B))))) # label(t8_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5861 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(B) -> ((all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k4_subset_1(A,C,D),B)) & (r1_tarski(D,C) & r2_hidden(C,B) -> r2_hidden(D,B)))))) & -r2_hidden(A,B) <-> m2_card_fil(B,A)))))) # label(d2_card_fil) # label(axiom) # label(non_clause). [assumption]. 26.28/25.75 5862 (exists A (-v1_xboole_0(A) & v1_membered(A) & v5_membered(A) & v4_membered(A) & v3_membered(A) & v2_membered(A) & v1_finset_1(A))) # label(rc1_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5863 (all A all B (v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) -> v1_relat_1(k5_relat_1(B,A)) & v2_relat_1(k5_relat_1(B,A)) & v1_funct_1(k5_relat_1(B,A)))) # label(fc3_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5864 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_trees_3(A)) -> v1_finset_1(B))))) # label(cc1_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5865 (all A np__1 = k4_card_1(k1_trees_4(A))) # label(t24_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5866 (all A all B (v2_relat_1(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k7_relat_1(A,B)) & v1_funct_1(k7_relat_1(A,B)) & v2_relat_1(k7_relat_1(A,B)))) # label(fc2_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5867 (all A k4_funct_5(k2_pre_circ(A,k1_xboole_0)) = k1_xboole_0) # label(t7_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5868 $T # label(d2_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5869 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_xboole_0(k1_relat_1(A),k1_relat_1(C)) & r1_tarski(A,B) -> r1_tarski(A,k1_funct_4(B,C))))))))) # label(t4_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5870 (all A all B all C (v1_funct_1(A) & v1_finset_1(A) & v3_trees_2(A) & v1_relat_1(C) & v1_funct_1(C) & v1_finset_1(C) & v3_trees_2(C) & m1_subset_1(B,k1_relat_1(A)) & v1_relat_1(A) -> v1_funct_1(k8_trees_2(A,B,C)) & v1_finset_1(k8_trees_2(A,B,C)) & v3_trees_2(k8_trees_2(A,B,C)) & v1_relat_1(k8_trees_2(A,B,C)))) # label(fc5_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5871 (all A all B (m1_pboole(B,A) -> k1_funct_1(k6_pboole(A,B),k6_finseq_1(A)) = k1_tarski(k1_xboole_0))) # label(t5_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5872 (all A (v1_finset_1(A) & v2_membered(A) & -v1_xboole_0(A) -> (all B (v1_xreal_0(B) -> (k1_pre_circ(A) = B <-> (all C (v1_xreal_0(C) -> (r2_hidden(C,A) -> r1_xreal_0(C,B)))) & r2_hidden(B,A)))))) # label(d1_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5873 (all A all B (v1_finset_1(A) & m1_subset_1(B,k1_relat_1(A)) & v3_trees_2(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k5_trees_2(A,B)) & v1_funct_1(k5_trees_2(A,B)) & v3_trees_2(k5_trees_2(A,B)) & v1_finset_1(k5_trees_2(A,B)))) # label(fc4_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5874 (all A all B all C (m1_pboole(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) -> k7_relat_1(B,C) = k3_pre_circ(A,B,C))) # label(redefinition_k3_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5875 (all A all B (m1_pboole(B,A) -> ((all C (r2_hidden(C,A) -> v1_finset_1(k1_funct_1(B,C)))) <-> v1_pre_circ(B,A)))) # label(d3_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5876 (all A all B all C (v1_finset_1(B) & v1_trees_1(B) & m1_trees_1(C,B) & -v1_xboole_0(B) -> (r2_hidden(A,a_2_0_pre_circ(B,C)) <-> (exists D (m1_trees_1(D,B) & r1_tarski(C,D) & A = D))))) # label(fraenkel_a_2_0_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5877 (exists A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,f1_s3_pre_circ) & (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,f1_s3_pre_circ,A,k1_nat_1(B,np__1)) = f3_s3_pre_circ(B,k8_funct_2(k5_numbers,f1_s3_pre_circ,A,B)))) & f2_s3_pre_circ = k8_funct_2(k5_numbers,f1_s3_pre_circ,A,np__0) & m2_relset_1(A,k5_numbers,f1_s3_pre_circ))) # label(s3_pre_circ_AndLHS) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5878 (all A (v1_funct_1(A) & v1_funct_2(A,k5_numbers,f1_s3_pre_circ) & m2_relset_1(A,k5_numbers,f1_s3_pre_circ) -> (all B (m2_relset_1(B,k5_numbers,f1_s3_pre_circ) & v1_funct_2(B,k5_numbers,f1_s3_pre_circ) & v1_funct_1(B) -> (f2_s3_pre_circ = k8_funct_2(k5_numbers,f1_s3_pre_circ,A,np__0) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k8_funct_2(k5_numbers,f1_s3_pre_circ,A,k1_nat_1(C,np__1)) = f3_s3_pre_circ(C,k8_funct_2(k5_numbers,f1_s3_pre_circ,A,C)))) & f2_s3_pre_circ = k8_funct_2(k5_numbers,f1_s3_pre_circ,B,np__0) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> f3_s3_pre_circ(C,k8_funct_2(k5_numbers,f1_s3_pre_circ,B,C)) = k8_funct_2(k5_numbers,f1_s3_pre_circ,B,k1_nat_1(C,np__1)))) -> A = B))))) # label(s3_pre_circ_AndRHS) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5879 (all A (v1_funct_1(A) & v1_finseq_1(A) & v6_trees_3(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(k1_nat_1(B,np__1),k4_finseq_1(A)) -> r2_hidden(k12_finseq_1(k5_numbers,B),k13_trees_3(k2_funct_6(A)))))))) # label(t17_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5880 (all A all B (m1_pboole(B,A) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (r2_hidden(C,k4_card_3(B)) -> r2_hidden(k5_relat_1(D,C),k4_card_3(k5_relat_1(D,B)))))))))) # label(t11_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5881 (all A all B all C all D (-v1_xboole_0(B) & v1_finset_1(C) & m1_trees_1(D,B) & v1_trees_1(C) & -v1_xboole_0(C) & v1_trees_1(B) & v1_finset_1(B) -> (r2_hidden(A,a_3_0_pre_circ(B,C,D)) <-> (exists E (k8_finseq_1(k5_numbers,D,E) = A & m1_trees_1(E,C)))))) # label(fraenkel_a_3_0_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5882 $T # label(t1_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5883 (all A (-v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) -> (all B (m1_trees_1(B,A) -> -(B != k1_xboole_0 & r1_xreal_0(k4_card_1(A),k4_card_1(k4_trees_1(A,B)))))))) # label(t20_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5884 (all A (-v1_xboole_0(A) & v2_membered(A) & v1_finset_1(A) -> v1_xreal_0(k1_pre_circ(A)))) # label(dt_k1_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5885 (all A all B all C (m1_pboole(B,A) & m1_subset_1(C,k1_zfmisc_1(A)) -> m1_pboole(k3_pre_circ(A,B,C),C))) # label(dt_k3_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5886 (all A (v1_relat_1(A) & v3_trees_2(A) & v1_finset_1(A) & v1_funct_1(A) -> (all B (v3_trees_2(B) & v1_finset_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (v1_relat_1(E) & v1_funct_1(E) & v1_finseq_1(E) & v6_trees_3(E) -> -((all F (v1_funct_1(F) & v1_finseq_1(F) & v6_trees_3(F) & v1_relat_1(F) -> -(k4_trees_4(C,F) = k8_trees_2(A,k12_finseq_1(k5_numbers,D),B) & (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (r2_hidden(G,k4_finseq_1(E)) -> k1_funct_1(E,G) = k1_funct_1(F,G) | G = k1_nat_1(D,np__1)))) & B = k1_funct_1(F,k1_nat_1(D,np__1)) & k3_finseq_1(E) = k3_finseq_1(F)))) & k4_trees_4(C,E) = A & r2_hidden(k12_finseq_1(k5_numbers,D),k1_relat_1(A))))))))))) # label(t19_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5887 (all A (r2_hidden(A,a_0_0_pre_circ) <-> (exists B (m1_subset_1(B,f1_s1_pre_circ) & f2_s1_pre_circ(B) = A & p1_s1_pre_circ(B))))) # label(fraenkel_a_0_0_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5888 (all A (-v1_xboole_0(A) -> (all B all C (m1_pboole(C,A) & v2_relat_1(C) -> (all D (m3_pboole(D,A,k2_pre_circ(A,B),C) -> B = k1_relat_1(k10_funct_6(D)))))))) # label(t8_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5889 (all A (v1_relat_1(A) & v1_funct_1(A) & v4_trees_3(A) & v1_finseq_1(A) -> (all B (v1_finseq_1(B) & v4_trees_3(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (k3_finseq_1(A) = k3_finseq_1(B) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(A)) -> k1_funct_1(A,D) = k1_funct_1(B,D) | k1_nat_1(C,np__1) = D))) & r2_hidden(k1_nat_1(C,np__1),k4_finseq_1(A)) -> (all D (-v1_xboole_0(D) & v1_trees_1(D) -> (k1_funct_1(B,k1_nat_1(C,np__1)) = D -> k5_trees_1(k13_trees_3(A),k12_finseq_1(k5_numbers,C),D) = k13_trees_3(B))))))))))) # label(t18_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5890 (all A all B m1_pboole(k2_pre_circ(A,B),A)) # label(dt_k2_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5891 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C (k2_relat_1(A) = k1_tarski(C) & k1_tarski(B) = k1_relat_1(A) -> A = k1_tarski(k4_tarski(B,C)))))) # label(t2_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5892 (all A (v1_finset_1(A) & v3_trees_2(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) & v3_trees_2(B) -> (all C (m1_trees_1(C,k1_relat_1(A)) -> k1_nat_1(k4_card_1(A),k4_card_1(B)) = k1_nat_1(k4_card_1(k8_trees_2(A,C,B)),k4_card_1(k5_trees_2(A,C))))))))) # label(t23_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5893 (all A all B k2_funcop_1(A,B) = k2_pre_circ(A,B)) # label(redefinition_k2_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5894 (all A all B all C (-v1_xboole_0(B) & v1_finset_1(B) & v1_trees_1(B) & m1_trees_1(C,B) -> ((exists D (A = D & -r1_tarski(C,D) & m1_trees_1(D,B))) <-> r2_hidden(A,a_2_1_pre_circ(B,C))))) # label(fraenkel_a_2_1_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5895 (all A (-v1_xboole_0(A) & v1_trees_1(A) & v1_finset_1(A) -> (all B (m1_trees_1(B,A) -> r2_tarski(k4_trees_1(A,B),a_2_0_pre_circ(A,B)))))) # label(t13_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5896 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v2_relat_1(C) & m1_pboole(C,A) -> (all D (m3_pboole(D,A,k2_pre_circ(A,B),C) -> (all E (m1_subset_1(E,B) -> (exists F (m1_pboole(F,A) & F = k1_funct_1(k10_funct_6(D),E) & r3_pboole(A,F,C))))))))))))) # label(t10_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5897 (all A (v1_relat_1(A) & v1_finseq_1(A) & v4_trees_3(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(k1_nat_1(B,np__1),k4_finseq_1(A)) -> k4_trees_1(k13_trees_3(A),k12_finseq_1(k5_numbers,B)) = k1_funct_1(A,k1_nat_1(B,np__1))))))) # label(t16_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5898 (all A (-v1_xboole_0(A) & v1_finset_1(A) & v1_trees_1(A) -> (all B (-v1_xboole_0(B) & v1_trees_1(B) & v1_finset_1(B) -> (all C (m1_trees_1(C,A) -> k1_nat_1(k4_card_1(k5_trees_1(A,C,B)),k4_card_1(k4_trees_1(A,C))) = k1_nat_1(k4_card_1(A),k4_card_1(B)))))))) # label(t22_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5899 (all A (-v1_xboole_0(A) & v1_trees_1(A) & v1_finset_1(A) -> (all B (-v1_xboole_0(B) & v1_trees_1(B) & v1_finset_1(B) -> (all C (m1_trees_1(C,A) -> (all D (m2_finseq_1(D,k5_numbers) -> -(r1_tarski(C,D) & (all E (m1_trees_1(E,B) -> D != k8_finseq_1(k5_numbers,C,E))) & r2_hidden(D,k5_trees_1(A,C,B))))))))))) # label(t15_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5900 (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(A,B) -> r1_tarski(k1_funct_4(A,C),k1_funct_4(B,C))))))))) # label(t3_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5901 (all A (v1_relat_1(k1_trees_4(A)) & v1_finset_1(k1_trees_4(A)) & v3_trees_2(k1_trees_4(A)) & v1_funct_1(k1_trees_4(A)))) # label(fc6_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5902 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B k4_card_3(k2_finseq_2(A,k1_tarski(B))) = k1_tarski(k2_finseq_2(A,B))))) # label(t12_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5903 (all A (m1_subset_1(A,f1_s4_pre_circ) -> (r2_hidden(A,f2_s4_pre_circ) -> v1_funct_2(f5_s4_pre_circ(A),k1_funct_1(f3_s4_pre_circ,A),k1_funct_1(f4_s4_pre_circ,A)) & m2_relset_1(f5_s4_pre_circ(A),k1_funct_1(f3_s4_pre_circ,A),k1_funct_1(f4_s4_pre_circ,A)) & v1_funct_1(f5_s4_pre_circ(A))))) -> (exists A (m3_pboole(A,f2_s4_pre_circ,f3_s4_pre_circ,f4_s4_pre_circ) & (all B (m1_subset_1(B,f1_s4_pre_circ) -> (r2_hidden(B,f2_s4_pre_circ) -> f5_s4_pre_circ(B) = k1_funct_1(A,B)))))) # label(s4_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5904 (all A (-v1_xboole_0(A) & v2_membered(A) & v1_finset_1(A) -> k2_seq_4(A) = k1_pre_circ(A))) # label(redefinition_k1_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5905 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) & v2_relat_1(B) -> -v1_xboole_0(k3_tarski(k2_relat_1(B))))))) # label(t6_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5906 (all A (v5_membered(A) & v1_finset_1(A) & -v1_xboole_0(A) -> v4_ordinal2(k2_seq_4(A)) & v1_xcmplx_0(k2_seq_4(A)) & v1_xreal_0(k2_seq_4(A)))) # label(fc1_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5907 (all A (-v1_xboole_0(A) & v1_trees_1(A) & v1_finset_1(A) -> (all B (v1_trees_1(B) & v1_finset_1(B) & -v1_xboole_0(B) -> (all C (m1_trees_1(C,A) -> k5_trees_1(A,C,B) = k2_xboole_0(a_2_1_pre_circ(A,C),a_3_0_pre_circ(A,B,C)))))))) # label(t14_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5908 (all A all B (m1_pboole(B,A) & v2_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (m1_subset_1(D,k4_card_3(B)) -> ((all E (r2_hidden(E,k1_relat_1(C)) -> r2_hidden(k1_funct_1(C,E),k1_funct_1(B,E)))) & r1_tarski(k1_relat_1(C),k1_relat_1(B)) -> m1_subset_1(k1_funct_4(D,C),k4_card_3(B))))))))) # label(t9_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5909 (all A (v1_relat_1(A) & v1_funct_1(A) -> k1_card_1(k1_relat_1(A)) = k1_card_1(A))) # label(t21_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5910 (all A exists B (v1_relat_1(B) & v1_pre_circ(B,A) & v1_funct_1(B) & v2_relat_1(B) & m1_pboole(B,A))) # label(rc2_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5911 (exists A ((all B (m1_subset_1(B,f1_s2_pre_circ) -> (r2_hidden(B,f1_s2_pre_circ) -> (-p1_s2_pre_circ(B) -> k1_funct_1(A,B) = f3_s2_pre_circ(B)) & (p1_s2_pre_circ(B) -> k1_funct_1(A,B) = f2_s2_pre_circ(B))))) & m1_pboole(A,f1_s2_pre_circ))) # label(s2_pre_circ) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5912 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k1_mboolean(A,k4_pboole(A,B,C)),k2_pboole(A,k2_pre_circ(A,k1_tarski(k1_xboole_0)),k4_pboole(A,k1_mboolean(A,B),k1_mboolean(A,C)))))))) # label(t10_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5913 (all A all B r6_pboole(A,k1_mboolean(A,k2_pre_circ(A,k1_tarski(B))),k2_pre_circ(A,k2_tarski(k1_xboole_0,k1_tarski(B))))) # label(t4_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5914 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k2_mboolean(A,k3_pboole(A,B,C)),k3_pboole(A,k2_mboolean(A,B),k2_mboolean(A,C))))))) # label(t29_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5915 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((exists D (r1_pboole(A,D,C) & r1_pboole(A,B,D) & m1_pboole(D,A))) <-> r1_pboole(A,B,k2_mboolean(A,C))))))) # label(t21_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5916 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,k2_pboole(A,k1_mboolean(A,B),k1_mboolean(A,C)),k1_mboolean(A,k2_pboole(A,B,C))) -> (all D (r2_hidden(D,A) -> r3_xboole_0(k1_funct_1(B,D),k1_funct_1(C,D))))))))) # label(t8_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5917 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r1_pboole(A,B,C) -> r2_pboole(A,B,k2_mboolean(A,C))))))) # label(t26_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5918 (all A all B (m1_pboole(B,A) -> v1_relat_1(k1_mboolean(A,B)) & v2_relat_1(k1_mboolean(A,B)) & v1_funct_1(k1_mboolean(A,B)))) # label(fc1_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5919 (all A all B r6_pboole(A,k2_mboolean(A,k2_pre_circ(A,k1_tarski(B))),k2_pre_circ(A,B))) # label(t24_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5920 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> k1_zfmisc_1(k1_funct_1(B,D)) = k1_funct_1(C,D))) <-> k1_mboolean(A,B) = C))))) # label(d1_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5921 (all A all B (m1_pboole(B,A) -> m1_pboole(k2_mboolean(A,B),A))) # label(dt_k2_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5922 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k11_pboole(A,B,C),k1_mboolean(A,k1_mboolean(A,k2_pboole(A,B,C)))))))) # label(t18_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5923 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,k2_mboolean(A,B),C) & r1_pboole(A,D,B) -> r2_pboole(A,D,C)))))))) # label(t32_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5924 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v2_relat_1(k2_pboole(A,B,C)) & (all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r1_pboole(A,D,k2_pboole(A,B,C)) & r1_pboole(A,E,k2_pboole(A,B,C)) -> r6_pboole(A,k3_pboole(A,D,E),k1_pboole(A)) | D = E))))) -> r6_pboole(A,k2_mboolean(A,k3_pboole(A,B,C)),k3_pboole(A,k2_mboolean(A,B),k2_mboolean(A,C)))))))) # label(t35_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5925 (all A all B all C r6_pboole(A,k2_mboolean(A,k2_pre_circ(A,k2_tarski(k1_tarski(B),k1_tarski(C)))),k2_pre_circ(A,k2_tarski(B,C)))) # label(t25_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5926 (all A all B (m1_pboole(B,A) -> r6_pboole(A,k2_mboolean(A,k1_mboolean(A,B)),B))) # label(t30_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5927 (all A all B r6_pboole(A,k2_mboolean(A,k2_pre_circ(A,B)),k2_pre_circ(A,k3_tarski(B)))) # label(t23_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5928 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r1_pboole(A,B,k1_mboolean(A,C)) <-> r2_pboole(A,B,C)))))) # label(t19_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5929 (all A r6_pboole(A,k1_mboolean(A,k1_pboole(A)),k2_pre_circ(A,k1_tarski(k1_xboole_0)))) # label(t2_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5930 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,D,C) & r2_pboole(A,B,C) -> r2_pboole(A,k5_pboole(A,B,D),C)))))))) # label(t17_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5931 (all A all B (m1_pboole(B,A) -> m1_pboole(k1_mboolean(A,B),A))) # label(dt_k1_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5932 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,B,k1_mboolean(A,C)) <-> (all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) <-> r2_pboole(A,D,C))))))))) # label(t1_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5933 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) -> r2_pboole(A,k4_pboole(A,B,D),C)))))))) # label(t16_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5934 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (C = k2_mboolean(A,B) <-> (all D (r2_hidden(D,A) -> k1_funct_1(C,D) = k3_tarski(k1_funct_1(B,D))))))))) # label(d2_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5935 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) -> r2_pboole(A,k2_mboolean(A,B),k2_mboolean(A,C))))))) # label(t27_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5936 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k12_pboole(A,B,C),k1_mboolean(A,k11_pboole(A,B,C))))))) # label(t20_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5937 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,k4_pboole(A,C,D)) <-> r5_pboole(A,B,D) & r2_pboole(A,B,C)))))))) # label(t11_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5938 (all A all B (m1_pboole(B,A) & v1_pre_circ(B,A) & v2_relat_1(B) -> ((all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(r1_pboole(A,D,B) & -r2_pboole(A,C,D) & -r2_pboole(A,D,C) & r1_pboole(A,C,B)))))) -> r1_pboole(A,k2_mboolean(A,B),B)))) # label(t37_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5939 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k2_pboole(A,k1_mboolean(A,k4_pboole(A,B,C)),k1_mboolean(A,k4_pboole(A,C,B))),k1_mboolean(A,k5_pboole(A,B,C))))))) # label(t12_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5940 $T # label(t14_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5941 (all A r6_pboole(A,k2_mboolean(A,k1_pboole(A)),k1_pboole(A))) # label(t22_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5942 (all A all B (m1_pboole(B,A) -> (all C (v2_relat_1(C) & m1_pboole(C,A) -> ((all D (m1_pboole(D,A) -> (r1_pboole(A,D,C) -> r6_pboole(A,k3_pboole(A,D,B),k1_pboole(A))))) -> r6_pboole(A,k3_pboole(A,k2_mboolean(A,C),B),k1_pboole(A))))))) # label(t34_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5943 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) & v2_relat_1(D) -> (r2_pboole(A,C,k2_mboolean(A,k2_pboole(A,B,D))) & (all E (m1_pboole(E,A) -> (r1_pboole(A,E,D) -> r6_pboole(A,k3_pboole(A,E,C),k1_pboole(A))))) -> r2_pboole(A,C,k2_mboolean(A,B))))))))) # label(t36_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5944 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r5_pboole(A,B,k3_pboole(A,C,D)) & r2_pboole(A,B,k2_pboole(A,C,D)) <-> r2_pboole(A,B,k5_pboole(A,C,D))))))))) # label(t13_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5945 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) -> r2_pboole(A,k1_mboolean(A,B),k1_mboolean(A,C))))))) # label(t6_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5946 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) & v2_relat_1(C) -> ((all D (m1_pboole(D,A) -> (r1_pboole(A,D,C) -> r2_pboole(A,D,B)))) -> r2_pboole(A,k2_mboolean(A,C),B)))))) # label(t33_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5947 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k1_mboolean(A,k3_pboole(A,B,C)),k3_pboole(A,k1_mboolean(A,B),k1_mboolean(A,C))))))) # label(t9_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5948 (all A all B (m1_pboole(B,A) -> r2_pboole(A,k1_pboole(A),B))) # label(t5_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5949 (all A all B r6_pboole(A,k1_mboolean(A,k2_pre_circ(A,B)),k2_pre_circ(A,k1_zfmisc_1(B)))) # label(t3_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5950 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r6_pboole(A,k2_mboolean(A,k2_pboole(A,B,C)),k2_pboole(A,k2_mboolean(A,B),k2_mboolean(A,C))))))) # label(t28_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5951 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> r2_pboole(A,k2_pboole(A,k1_mboolean(A,B),k1_mboolean(A,C)),k1_mboolean(A,k2_pboole(A,B,C))))))) # label(t7_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5952 (all A (v1_funct_1(k2_mboolean(A,k1_pboole(A))) & v3_relat_1(k2_mboolean(A,k1_pboole(A))) & v1_relat_1(k2_mboolean(A,k1_pboole(A))))) # label(fc2_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5953 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,D,C) | r2_pboole(A,B,C) -> r2_pboole(A,k3_pboole(A,B,D),C)))))))) # label(t15_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5954 (all A all B (m1_pboole(B,A) -> r2_pboole(A,B,k1_mboolean(A,k2_mboolean(A,B))))) # label(t31_mboolean) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5955 (all A all B (m1_pboole(B,A) -> k1_mboolean(A,B) = k7_mssubfam(A,B))) # label(redefinition_k7_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5956 (all A all B all C (m1_pboole(C,A) & v1_pre_circ(C,A) & m1_pboole(B,A) & v1_funcop_1(B) -> v1_funct_1(k14_pboole(A,C,B)) & v1_pre_circ(k14_pboole(A,C,B),A) & v1_relat_1(k14_pboole(A,C,B)))) # label(fc6_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5957 (all A all B (m1_pboole(B,A) -> (v1_pre_circ(k2_mboolean(A,B),A) -> (all C (m1_pboole(C,A) -> (r1_pboole(A,C,B) -> v1_pre_circ(C,A)))) & v1_pre_circ(B,A)))) # label(t23_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5958 (all A all B (m1_pboole(B,A) -> (v3_relat_1(B) -> v1_pre_circ(B,A)))) # label(cc1_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5959 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (v2_relat_1(D) & m4_pboole(D,A,k1_mboolean(A,C)) -> (r1_pboole(A,B,C) & (all E (m1_pboole(E,A) -> (r1_pboole(A,E,D) -> r1_pboole(A,B,E)))) -> r1_pboole(A,B,k6_mssubfam(A,C,D))))))))) # label(t53_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5960 (all A all B (v2_relat_1(B) & m1_pboole(B,A) -> ((all C (m1_pboole(C,A) -> (r1_pboole(A,C,B) -> v1_pre_circ(C,A)))) & v1_pre_circ(B,A) -> v1_pre_circ(k2_mboolean(A,B),A)))) # label(t22_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5961 (all A all B (v1_pre_circ(B,A) & m1_pboole(B,A) & v2_relat_1(B) -> -((all C (m1_pboole(C,A) -> -(r1_pboole(A,C,B) & (all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) -> r2_pboole(A,D,C))))))) & (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(r1_pboole(A,C,B) & r1_pboole(A,D,B) & -r2_pboole(A,D,C) & -r2_pboole(A,C,D))))))))) # label(t29_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5962 (all A all B all C (m1_pboole(B,A) & v1_pre_circ(C,A) & m1_pboole(C,A) -> v1_relat_1(k3_pboole(A,B,C)) & v1_funct_1(k3_pboole(A,B,C)) & v1_pre_circ(k3_pboole(A,B,C),A))) # label(fc3_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5963 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> (r2_pboole(A,C,D) -> r2_pboole(A,k6_mssubfam(A,B,D),k6_mssubfam(A,B,C))))))))) # label(t46_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5964 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m4_pboole(D,A,k1_mboolean(A,C)) -> (r1_pboole(A,B,D) -> m4_pboole(B,A,C)))))))) # label(t33_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5965 (all A all B all C (m1_pboole(B,A) & m4_pboole(C,A,k1_mboolean(A,B)) -> k6_mssubfam(A,B,C) = k5_mssubfam(A,B,C))) # label(redefinition_k6_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5966 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v4_mssubfam(C,A,B) -> v3_mssubfam(C,A,B)))))) # label(cc4_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5967 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v3_mssubfam(C,A,B) <-> (all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r1_pboole(A,D,C) & r1_pboole(A,E,C) -> r1_pboole(A,k3_pboole(A,D,E),C))))))))))) # label(d5_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5968 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (B = k2_tarski(C,D) -> k5_subset_1(A,C,D) = k8_setfam_1(A,B)))))))) # label(t10_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5969 (all A all B (v2_relat_1(B) & m1_pboole(B,A) & v1_pre_circ(B,A) -> -((all C (m1_pboole(C,A) -> -(r1_pboole(A,C,B) & (all D (m1_pboole(D,A) -> (r1_pboole(A,D,B) -> r2_pboole(A,C,D))))))) & (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(r1_pboole(A,C,B) & r1_pboole(A,D,B) & -r2_pboole(A,C,D) & -r2_pboole(A,D,C))))))))) # label(t28_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5970 (all A all B (v1_funcop_1(B) & m1_pboole(B,A) -> k1_mssubfam(A,B) = k2_funct_6(B))) # label(redefinition_k1_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5971 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (r2_pboole(A,B,C) & r2_pboole(A,D,C) -> m4_pboole(k2_pzfmisc1(A,B,D),A,k1_mboolean(A,C))))))))) # label(t39_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5972 (all A all B all C (m4_pboole(C,A,k1_mboolean(A,B)) & m1_pboole(B,A) -> m1_pboole(k5_mssubfam(A,B,C),A))) # label(dt_k5_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5973 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> m4_pboole(k2_pboole(A,C,D),A,k1_mboolean(A,B)))))))) # label(t34_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5974 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v2_mssubfam(C,A,B) -> v1_mssubfam(C,A,B)))))) # label(cc3_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5975 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v1_pre_circ(C,A) & r2_pboole(A,B,C) -> v1_pre_circ(B,A)))))) # label(t18_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5976 (all A all B (m1_pboole(B,A) -> v3_relat_1(k1_pboole(A)) & v1_pre_circ(k1_pboole(A),A) & m4_pboole(k1_pboole(A),A,k1_mboolean(A,B)))) # label(t31_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5977 (all A all B all C (v1_pre_circ(C,A) & m1_pboole(C,A) & m1_pboole(B,A) & v1_pre_circ(B,A) -> v1_funct_1(k5_pboole(A,B,C)) & v1_pre_circ(k5_pboole(A,B,C),A) & v1_relat_1(k5_pboole(A,B,C)))) # label(fc10_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5978 (all A all B (m1_pboole(B,A) -> (v1_pre_circ(B,A) <-> v1_pre_circ(k1_mboolean(A,B),A)))) # label(t21_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5979 (all A (r2_hidden(A,f1_s1_mssubfam) -> (all B -(r2_hidden(B,k1_funct_1(f2_s1_mssubfam,A)) & (all C -(p1_s1_mssubfam(C,B,A) & r2_hidden(C,k1_funct_1(f3_s1_mssubfam,A)))))))) -> (exists A (m3_pboole(A,f1_s1_mssubfam,f2_s1_mssubfam,f3_s1_mssubfam) & (all B -((all C (v1_funct_1(C) & m2_relset_1(C,k1_funct_1(f2_s1_mssubfam,B),k1_funct_1(f3_s1_mssubfam,B)) & v1_funct_2(C,k1_funct_1(f2_s1_mssubfam,B),k1_funct_1(f3_s1_mssubfam,B)) -> -(k1_funct_1(A,B) = C & (all D (r2_hidden(D,k1_funct_1(f2_s1_mssubfam,B)) -> p1_s1_mssubfam(k1_funct_1(C,D),D,B)))))) & r2_hidden(B,f1_s1_mssubfam))))) # label(s1_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5980 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> (all E (m4_pboole(E,A,k1_mboolean(A,B)) -> (r6_pboole(A,C,k2_pboole(A,D,E)) -> r6_pboole(A,k6_mssubfam(A,B,C),k3_pboole(A,k6_mssubfam(A,B,D),k6_mssubfam(A,B,E)))))))))))) # label(t49_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5981 (all A all B (m1_pboole(B,A) & v1_funcop_1(B) -> m1_pboole(k1_mssubfam(A,B),A))) # label(dt_k1_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5982 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v2_mssubfam(C,A,B) <-> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> (r2_pboole(A,D,C) -> r1_pboole(A,k2_mboolean(A,D),C))))))))) # label(d4_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5983 $T # label(d1_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5984 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m4_pboole(D,A,k1_mboolean(A,C)) -> m4_pboole(k4_pboole(A,D,B),A,k1_mboolean(A,C)))))))) # label(t36_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5985 (all A all B all C (v1_pre_circ(B,A) & m1_pboole(C,A) & v1_pre_circ(C,A) & m1_pboole(B,A) -> v1_relat_1(k11_pboole(A,B,C)) & v1_pre_circ(k11_pboole(A,B,C),A) & v1_funct_1(k11_pboole(A,B,C)))) # label(fc7_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5986 (all A all B (m1_pboole(B,A) -> k3_mssubfam(A,B) = k1_mboolean(A,B))) # label(redefinition_k3_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5987 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) & v2_relat_1(C) -> r2_pboole(A,k6_mssubfam(A,B,C),k2_mboolean(A,C)))))) # label(t42_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5988 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) & v1_funcop_1(C) -> (r2_pboole(A,B,k2_mssubfam(A,C)) & (all D all E (v1_funct_1(E) & v1_relat_1(E) -> (E = k1_funct_1(C,D) & r2_hidden(D,A) -> v1_finset_1(k10_relat_1(E,k1_funct_1(B,D)))))) -> v1_pre_circ(B,A)))))) # label(t25_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5989 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v5_mssubfam(C,A,B) <-> r1_pboole(A,B,C)))))) # label(d7_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5990 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(v1_pre_circ(B,A) & v1_pre_circ(C,A) & r2_pboole(A,B,k11_pboole(A,D,C)) & (all E (m1_pboole(E,A) -> -(r2_pboole(A,E,D) & r2_pboole(A,B,k11_pboole(A,E,C)) & v1_pre_circ(E,A))))))))))) # label(t27_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5991 (all A all B all C (m4_pboole(C,A,k1_mboolean(A,B)) & m1_pboole(B,A) -> m4_pboole(k6_mssubfam(A,B,C),A,B))) # label(dt_k6_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5992 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v6_mssubfam(C,A,B) -> v2_relat_1(C)))))) # label(cc8_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5993 (all A all B (m1_pboole(B,A) & v1_funcop_1(B) -> m1_pboole(k2_mssubfam(A,B),A))) # label(dt_k2_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5994 (all A all B (m1_pboole(B,A) -> (exists C (v1_relat_1(C) & v4_mssubfam(C,A,B) & v5_mssubfam(C,A,B) & v6_mssubfam(C,A,B) & v3_mssubfam(C,A,B) & v2_mssubfam(C,A,B) & v1_mssubfam(C,A,B) & v1_funct_1(C) & v2_relat_1(C) & m4_pboole(C,A,k1_mboolean(A,B)))))) # label(rc5_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5995 (all A all B (m1_pboole(B,A) -> (exists C (v1_funct_1(C) & v1_pre_circ(C,A) & v3_relat_1(C) & v1_relat_1(C) & m4_pboole(C,A,k1_mboolean(A,B)))))) # label(rc3_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5996 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v1_pre_circ(k11_pboole(A,B,C),A) & v2_relat_1(B) -> v1_pre_circ(C,A)))))) # label(t20_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5997 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> m4_pboole(k3_pboole(A,C,D),A,k1_mboolean(A,B)))))))) # label(t35_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5998 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> (r1_pboole(A,C,D) -> r2_pboole(A,k6_mssubfam(A,B,D),C)))))))) # label(t43_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 5999 (all A all B all C (v1_pre_circ(B,A) & m1_pboole(B,A) & v1_pre_circ(C,A) & m1_pboole(C,A) -> v1_pre_circ(k12_pboole(A,B,C),A) & v1_funct_1(k12_pboole(A,B,C)) & v1_relat_1(k12_pboole(A,B,C)))) # label(fc9_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 6000 (all A all B all C (m1_pboole(B,A) & v1_pre_circ(C,A) & m1_pboole(C,A) -> v1_pre_circ(k3_pboole(A,C,B),A) & v1_funct_1(k3_pboole(A,C,B)) & v1_relat_1(k3_pboole(A,C,B)))) # label(fc4_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 6001 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r2_hidden(k1_xboole_0,B) -> k8_setfam_1(A,B) = k1_xboole_0))) # label(t3_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 6002 (all A all B (v1_funcop_1(B) & m1_pboole(B,A) -> (v1_pre_circ(k1_mssubfam(A,B),A) -> v1_pre_circ(k2_mssubfam(A,B),A)))) # label(t24_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 6003 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) -> m4_pboole(k1_pzfmisc1(A,B),A,k1_mboolean(A,C))))))) # label(t38_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 6004 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (r1_pboole(A,k1_pboole(A),C) -> r6_pboole(A,k6_mssubfam(A,B,C),k1_pboole(A))))))) # label(t44_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 6005 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r1_pboole(A,B,C) -> m2_pboole(B,A,C)))))) # label(t11_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 6006 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (v2_relat_1(D) & m4_pboole(D,A,k1_mboolean(A,C)) -> ((all E (m1_pboole(E,A) -> (r1_pboole(A,E,D) -> r2_pboole(A,B,E)))) -> r2_pboole(A,B,k6_mssubfam(A,C,D))))))))) # label(t45_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 6007 (all A all B (v2_relat_1(B) & m1_pboole(B,A) -> (all C (m3_pboole(C,A,B,k1_pboole(A)) -> r6_pboole(A,C,k1_pboole(A)))))) # label(t16_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 6008 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> (r1_pboole(A,C,k6_mssubfam(A,B,D)) -> (all E (m1_pboole(E,A) -> (r1_pboole(A,E,D) -> r1_pboole(A,C,E))))))))))) # label(t52_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.76 6009 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) -> (B = k4_subset_1(k1_zfmisc_1(A),C,D) -> k5_subset_1(A,k8_setfam_1(A,C),k8_setfam_1(A,D)) = k8_setfam_1(A,B)))))))) # label(t8_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6010 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (r6_pboole(A,C,k1_pboole(A)) -> r6_pboole(A,k6_mssubfam(A,B,C),B)))))) # label(t41_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6011 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m4_pboole(D,A,k1_mboolean(A,B)) -> m4_pboole(k5_pboole(A,C,D),A,k1_mboolean(A,B)))))))) # label(t37_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6012 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r2_hidden(B,C) -> r1_tarski(k8_setfam_1(A,C),B)))) # label(t2_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6013 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v5_mssubfam(C,A,B) -> v2_relat_1(C)))))) # label(cc6_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6014 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v2_mssubfam(C,A,B) -> v6_mssubfam(C,A,B)))))) # label(cc7_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6015 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m4_pboole(E,A,k1_mboolean(A,B)) -> (r1_pboole(A,C,E) & r6_pboole(A,k3_pboole(A,C,D),k1_pboole(A)) -> r6_pboole(A,k3_pboole(A,k6_mssubfam(A,B,E),D),k1_pboole(A))))))))))) # label(t48_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6016 (all A (v1_pre_circ(k1_pboole(A),A) & v1_funct_1(k1_pboole(A)) & v3_relat_1(k1_pboole(A)) & v1_relat_1(k1_pboole(A)))) # label(fc1_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6017 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (k1_tarski(C) = B -> k8_setfam_1(A,B) = C))))) # label(t9_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6018 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> r2_pboole(A,k2_mboolean(A,C),B))))) # label(t40_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6019 (all A all B (m1_pboole(B,A) & v1_pre_circ(B,A) -> (all C (m4_pboole(C,A,B) -> v1_pre_circ(C,A))))) # label(cc2_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6020 (all A all B (v1_pre_circ(B,A) & m1_pboole(B,A) -> v1_relat_1(k1_mboolean(A,B)) & v1_pre_circ(k1_mboolean(A,B),A) & v1_funct_1(k1_mboolean(A,B)) & v2_relat_1(k1_mboolean(A,B)))) # label(fc8_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6021 (all A all B all C (m1_pboole(C,B) -> (all D (m4_pboole(D,B,k1_mboolean(B,C)) -> (r2_hidden(A,B) -> m1_subset_1(k1_funct_1(D,A),k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(C,A))))))))) # label(t32_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6022 (all A all B (v1_pre_circ(B,A) & m1_pboole(B,A) -> (exists C (m4_pboole(C,A,k1_mboolean(A,B)) & v1_relat_1(C) & v1_funct_1(C) & v1_pre_circ(C,A) & v2_relat_1(C))))) # label(rc4_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6023 (all A all B (v1_funcop_1(B) & m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> -((all D (m1_pboole(D,A) -> -(r2_pboole(A,D,k1_mssubfam(A,B)) & v1_pre_circ(D,A) & r6_pboole(A,k14_pboole(A,D,B),C)))) & r2_pboole(A,C,k2_mssubfam(A,B)) & v1_pre_circ(C,A)))))) # label(t30_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6024 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (r2_hidden(D,B) -> r1_tarski(C,D))) -> r1_tarski(C,k8_setfam_1(A,B))))))) # label(t4_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6025 (all A all B (m1_pboole(B,A) & v1_funcop_1(B) -> (all C (m1_pboole(C,A) & v1_funcop_1(C) -> m1_pboole(k13_pboole(B,C),A) & v1_funcop_1(k13_pboole(B,C)))))) # label(t15_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6026 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> -(v1_pre_circ(B,A) & (all E (m1_pboole(E,A) -> (all F (m1_pboole(F,A) -> -(r2_pboole(A,E,C) & r2_pboole(A,B,k11_pboole(A,E,F)) & r2_pboole(A,F,D) & v1_pre_circ(F,A) & v1_pre_circ(E,A)))))) & r2_pboole(A,B,k11_pboole(A,C,D))))))))) # label(t26_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6027 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m4_pboole(D,A,B) -> (all E (m4_pboole(E,A,B) -> (r6_pboole(A,C,k2_pzfmisc1(A,D,E)) -> r6_pboole(A,k6_mssubfam(A,B,C),k3_pboole(A,D,E))))))))))) # label(t51_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6028 (all A all B all C (m1_pboole(C,B) & v1_funcop_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (r2_hidden(A,B) & k1_funct_1(C,A) = D -> k2_relat_1(D) = k1_funct_1(k2_mssubfam(B,C),A)))))) # label(t13_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6029 (all A all B all C all D (m1_pboole(B,A) & m1_subset_1(D,A) & m4_pboole(C,A,k1_mboolean(A,B)) & -v1_xboole_0(A) -> m1_subset_1(k4_mssubfam(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(B,D)))))) # label(dt_k4_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6030 (all A all B (m1_pboole(B,A) -> (exists C (m4_pboole(C,A,B) & v1_relat_1(C) & v1_pre_circ(C,A) & v1_funct_1(C) & v3_relat_1(C))))) # label(rc1_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6031 (all A all B all C (v1_pre_circ(C,A) & m1_pboole(C,A) & m1_pboole(B,A) -> v1_pre_circ(k4_pboole(A,C,B),A) & v1_funct_1(k4_pboole(A,C,B)) & v1_relat_1(k4_pboole(A,C,B)))) # label(fc5_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6032 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k1_xboole_0 != B -> r1_tarski(k8_setfam_1(A,B),k5_setfam_1(A,B))))) # label(t1_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6033 (all A all B all C all D (m4_pboole(C,A,k1_mboolean(A,B)) & m1_subset_1(D,A) & m1_pboole(B,A) & -v1_xboole_0(A) -> k1_funct_1(C,D) = k4_mssubfam(A,B,C,D))) # label(redefinition_k4_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6034 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> ((all D (r2_hidden(D,C) -> r1_tarski(B,D))) -> C = k1_xboole_0 | r1_tarski(B,k8_setfam_1(A,C))))) # label(t5_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6035 (all A all B (m1_pboole(B,A) -> v3_mssubfam(k7_mssubfam(A,B),A,B) & m4_pboole(k7_mssubfam(A,B),A,k1_mboolean(A,B)) & v6_mssubfam(k7_mssubfam(A,B),A,B) & v5_mssubfam(k7_mssubfam(A,B),A,B) & v4_mssubfam(k7_mssubfam(A,B),A,B) & v2_mssubfam(k7_mssubfam(A,B),A,B) & v1_mssubfam(k7_mssubfam(A,B),A,B))) # label(dt_k7_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6036 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m4_pboole(D,A,B) -> (r6_pboole(A,C,k1_pzfmisc1(A,D)) -> r6_pboole(A,k6_mssubfam(A,B,C),D)))))))) # label(t50_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6037 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> ((all D (m1_pboole(D,A) -> (all E (m1_pboole(E,A) -> (r1_pboole(A,E,C) & r1_pboole(A,D,C) -> r1_pboole(A,k2_pboole(A,D,E),C)))))) <-> v1_mssubfam(C,A,B)))))) # label(d3_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6038 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (v1_funcop_1(D) & m1_pboole(D,A) -> (m3_pboole(D,A,B,C) & r1_pzfmisc1(A,B,C) -> r2_pboole(A,k2_mssubfam(A,D),C) & r6_pboole(A,k1_mssubfam(A,D),B)))))))) # label(t17_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6039 (all A all B (m1_pboole(B,A) & v1_funcop_1(B) -> k2_mssubfam(A,B) = k3_funct_6(B))) # label(redefinition_k2_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6040 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (all D (m1_pboole(D,A) -> ((all E -(r2_hidden(E,A) & (all F (m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(k1_funct_1(B,E)))) -> -(k8_setfam_1(k1_funct_1(B,E),F) = k1_funct_1(D,E) & F = k1_funct_1(C,E)))))) <-> D = k5_mssubfam(A,B,C)))))))) # label(d2_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6041 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (v4_mssubfam(C,A,B) -> v5_mssubfam(C,A,B)))))) # label(cc5_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6042 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r2_hidden(B,D) & r1_tarski(B,C) -> r1_tarski(k8_setfam_1(A,D),C)))) # label(t6_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6043 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> ((all D (m4_pboole(D,A,k1_mboolean(A,B)) -> (r2_pboole(A,D,C) -> r1_pboole(A,k6_mssubfam(A,B,D),C)))) <-> v4_mssubfam(C,A,B)))))) # label(d6_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6044 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (v1_pre_circ(k11_pboole(A,C,B),A) & v2_relat_1(B) -> v1_pre_circ(C,A)))))) # label(t19_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6045 (all A all B all C (v1_funcop_1(C) & m1_pboole(C,B) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (D = k1_funct_1(C,A) & r2_hidden(A,B) -> k1_relat_1(D) = k1_funct_1(k1_mssubfam(B,C),A)))))) # label(t14_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6046 (all A all B (m1_pboole(B,A) -> (all C (v2_relat_1(C) & m1_pboole(C,A) -> (m2_pboole(B,A,C) -> r1_pboole(A,B,C)))))) # label(t12_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6047 (all A all B all C (v1_pre_circ(C,A) & m1_pboole(C,A) & m1_pboole(B,A) & v1_pre_circ(B,A) -> v1_relat_1(k2_pboole(A,B,C)) & v1_pre_circ(k2_pboole(A,B,C),A) & v1_funct_1(k2_pboole(A,B,C)))) # label(fc2_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6048 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,k1_mboolean(A,B)) -> (r1_pboole(A,k1_pboole(A),C) <-> v6_mssubfam(C,A,B)))))) # label(d8_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6049 (all A all B (m1_pboole(B,A) -> m4_pboole(k3_mssubfam(A,B),A,k1_mboolean(A,B)))) # label(dt_k3_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6050 (all A all B (m1_pboole(B,A) -> (exists C (m4_pboole(C,A,k1_mboolean(A,B)) & v1_relat_1(C) & v1_funct_1(C) & v2_relat_1(C))))) # label(rc2_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6051 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) -> (r1_xboole_0(B,C) & r2_hidden(B,D) -> r1_xboole_0(k8_setfam_1(A,D),C)))) # label(t7_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6052 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m4_pboole(E,A,k1_mboolean(A,B)) -> (r1_pboole(A,C,E) & r2_pboole(A,C,D) -> r2_pboole(A,k6_mssubfam(A,B,E),D)))))))))) # label(t47_mssubfam) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6053 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B ((v1_xboole_0(A) -> (k6_funct_7(A) = B <-> v1_xboole_0(B))) & (-v1_xboole_0(A) -> (k1_funct_5(k1_funct_1(A,np__1)) = B <-> k6_funct_7(A) = B)))))) # label(d6_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6054 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D (D != C -> k1_funct_1(k2_funct_7(A,C,B),D) = k1_funct_1(A,D))))) # label(t34_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6055 (all A all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funcop_1(B) & v1_funct_1(B) -> v1_funct_1(k4_funct_7(A,B)) & v1_relat_1(k4_funct_7(A,B)))) # label(dt_k4_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6056 (all A (v1_relat_1(A) & v1_funct_1(A) -> k6_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A))) = k9_funct_7(A,np__0))) # label(t70_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6057 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> k5_funct_7(k11_finseq_1(B,C,D),A) = k7_finseq_1(k9_finseq_1(A),k11_finseq_1(k1_funct_1(B,A),k1_funct_1(C,k1_funct_1(B,A)),k1_funct_1(D,k1_funct_1(C,k1_funct_1(B,A))))))))))) # label(t58_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6058 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,A) & v1_funct_2(D,A,A) -> k9_funct_7(D,k2_nat_1(B,C)) = k9_funct_7(k9_funct_7(D,B),C))))))) # label(t87_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6059 (all A (r2_hidden(A,a_0_0_funct_7) <-> (exists B (A = f3_s2_funct_7(B) & r2_hidden(f4_s2_funct_7(B),f1_s2_funct_7) & m1_subset_1(B,f2_s2_funct_7))))) # label(fraenkel_a_0_0_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6060 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> k5_relat_1(k6_partfun1(A),k5_relat_1(B,k5_relat_1(C,D))) = k4_funct_7(A,k11_finseq_1(B,C,D)))))))) # label(t56_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6061 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> k5_relat_1(k6_partfun1(A),B) = k4_funct_7(A,k9_finseq_1(B)))) # label(t47_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6062 (all A all B all C all D (m1_finseq_1(B,A) & m1_subset_1(C,k5_numbers) & m1_subset_1(D,A) -> m2_finseq_1(k3_funct_7(A,B,C,D),A))) # label(dt_k3_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6063 (all A all B (m1_subset_1(A,k5_numbers) & v1_funct_1(B) & v1_relat_1(B) -> v1_relat_1(k2_finseq_2(A,B)) & v1_funct_1(k2_finseq_2(A,B)) & v1_funcop_1(k2_finseq_2(A,B)) & v1_finseq_1(k2_finseq_2(A,B)) & v1_finset_1(k2_finseq_2(A,B)))) # label(fc7_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6064 (all A all B (v1_relat_1(B) & v1_funcop_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_funcop_1(C) -> k1_funct_1(k5_funct_7(C,k1_funct_1(k5_funct_7(B,A),k1_nat_1(k3_finseq_1(B),np__1))),k1_nat_1(k3_finseq_1(C),np__1)) = k1_funct_1(k5_funct_7(k7_finseq_1(B,C),A),k1_nat_1(k3_finseq_1(k7_finseq_1(B,C)),np__1)))))) # label(t51_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6065 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) -> (-(-r1_tarski(k1_relat_1(k5_relat_1(B,C)),A) & -r1_tarski(k1_relat_1(k5_relat_1(B,k5_relat_1(C,D))),A) & -r1_tarski(k1_relat_1(B),A)) -> k5_relat_1(B,k5_relat_1(C,D)) = k4_funct_7(A,k11_finseq_1(B,C,D))))))))) # label(t57_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6066 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (B != np__0 -> k9_funct_7(k9_funct_7(A,C),B) = k9_funct_7(A,k2_nat_1(C,B))))))))) # label(t80_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6067 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> r1_tarski(k2_relat_1(k9_funct_7(A,B)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))) & r1_tarski(k1_relat_1(k9_funct_7(A,B)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))))))) # label(t74_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6068 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C k1_relat_1(A) = k1_relat_1(k2_funct_7(A,C,B))))) # label(t32_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6069 $T # label(dt_k7_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6070 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (v2_funct_1(C) -> (all D (m1_subset_1(D,B) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (all F (m1_subset_1(F,k1_zfmisc_1(B)) -> (r2_hidden(D,k6_subset_1(B,k2_funct_2(A,B,C,E),F)) -> r2_hidden(k1_funct_1(k2_funct_1(C),D),k6_subset_1(A,E,k3_funct_2(A,B,C,F))))))))))))))))) # label(t5_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6071 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_xboole_0(k2_relat_1(A),k1_relat_1(B)) -> k5_relat_1(A,k1_funct_4(C,B)) = k5_relat_1(A,C)))))))) # label(t12_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6072 (all A k9_finseq_1(A) = k5_funct_7(k1_xboole_0,A)) # label(t42_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6073 (all A all B (v1_finseq_1(A) & v1_funcop_1(A) & v1_funct_1(A) & v1_relat_1(A) -> v1_finseq_1(k5_funct_7(A,B)) & v1_funct_1(k5_funct_7(A,B)) & v1_relat_1(k5_funct_7(A,B)))) # label(dt_k5_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6074 (all A all B all C (m1_pboole(C,k2_zfmisc_1(A,B)) -> (all D all E (r2_hidden(E,B) & r2_hidden(D,A) -> k7_relat_1(C,k2_zfmisc_1(k1_tarski(D),k1_tarski(E))) = k9_funct_2(D,E,k1_binop_1(C,D,E)))))) # label(t8_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6075 (all A all B (v1_funcop_1(B) & v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (k1_xboole_0 != B -> r1_tarski(k2_relat_1(k4_funct_7(A,B)),k7_funct_7(B))))) # label(t61_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6076 (all A all B exists C m1_funct_7(C,A,B)) # label(existence_m1_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6077 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (r2_hidden(B,k1_relat_1(A)) -> k7_relat_1(A,k1_tarski(B)) = k3_cqc_lang(B,k1_funct_1(A,B)))))) # label(t6_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6078 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r1_tarski(k2_relat_1(A),k1_relat_1(A)) -> k9_funct_7(A,k2_nat_1(B,C)) = k9_funct_7(k9_funct_7(A,B),C)))))))) # label(t81_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6079 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> k1_relat_1(A) = k6_funct_7(k7_finseq_1(k9_finseq_1(A),B)) & k7_funct_7(k7_finseq_1(B,k9_finseq_1(A))) = k2_relat_1(A))))) # label(t60_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6080 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k9_funct_7(A,B) = k5_relat_1(k6_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A))),k9_funct_7(A,B)))))) # label(t77_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6081 (all A all B (r1_tarski(k3_finseq_2(A),k3_finseq_2(B)) -> r1_tarski(A,B))) # label(t21_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6082 (all A (v1_finset_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) & -v1_xboole_0(B) -> (exists C ((all D (m2_subset_1(D,k1_zfmisc_1(A),B) -> (r1_tarski(D,C) -> D = C))) & m2_subset_1(C,k1_zfmisc_1(A),B))))))) # label(t23_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6083 (all A all B all C (v1_funct_1(A) & v1_finseq_1(A) & m1_subset_1(B,k5_numbers) & v1_relat_1(A) -> v1_relat_1(k2_funct_7(A,B,C)) & v1_finseq_1(k2_funct_7(A,B,C)) & v1_finset_1(k2_funct_7(A,B,C)) & v1_funct_1(k2_funct_7(A,B,C)))) # label(fc9_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6084 (all A all B (v1_funct_1(B) & v1_funcop_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> k5_relat_1(k4_funct_7(A,B),C) = k4_funct_7(A,k7_finseq_1(B,k9_finseq_1(C))))))) # label(t43_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6085 (all A (-v1_xboole_0(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) -> (all B (m2_funct_7(B,A) -> (B != k1_xboole_0 -> r1_tarski(k7_funct_7(B),k1_funct_1(A,k3_finseq_1(A))) & k1_funct_1(A,np__1) = k6_funct_7(B)))))) # label(t68_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6086 (exists A (-v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) & v1_finseq_1(A) & v1_funcop_1(A) & v2_relat_1(A))) # label(rc1_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6087 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,A) -> v1_funct_1(k9_funct_7(C,B)) & m2_relset_1(k9_funct_7(C,B),A,A))))) # label(t88_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6088 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_tarski(k2_relat_1(A),k1_relat_1(A)) -> r1_tarski(k2_relat_1(k9_funct_7(A,B)),k1_relat_1(A)) & k1_relat_1(A) = k1_relat_1(k9_funct_7(A,B))))))) # label(t76_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6089 $T # label(dt_k6_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6090 (all A (-v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v2_relat_1(A) -> (exists B m2_funct_7(B,A)))) # label(existence_m2_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6091 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (r1_funct_7(A,B,C) -> r1_funct_7(B,A,C))))))) # label(t28_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6092 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (v1_funct_7(A) <-> (exists B (v1_relat_1(B) & v1_funct_1(B) & v1_finseq_1(B) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(A)) -> r2_hidden(k1_funct_1(A,C),k1_funct_2(k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,np__1))))))) & k1_nat_1(k3_finseq_1(A),np__1) = k3_finseq_1(B)))))) # label(d8_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6093 (all A (v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & -v1_xboole_0(A) -> (all B (m2_funct_7(B,A) -> v1_funct_7(B) & v2_relat_1(B))))) # label(cc3_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6094 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(B)) -> k4_finseq_4(k5_numbers,A,B,E) = k4_finseq_4(k5_numbers,A,k3_funct_7(A,B,D,C),E) | E = D))))))))))) # label(t39_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6095 (all A (v1_funct_1(A) & v1_funct_7(A) & v1_finseq_1(A) & v1_relat_1(A) -> k1_relat_1(k4_funct_7(k6_funct_7(A),A)) = k6_funct_7(A))) # label(t64_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6096 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k9_funct_7(k6_partfun1(A),B) = k6_partfun1(A))) # label(t83_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6097 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (r1_funct_7(A,B,C) <-> k7_relat_1(B,k4_xboole_0(k1_relat_1(B),C)) = k7_relat_1(A,k4_xboole_0(k1_relat_1(A),C)))))))) # label(d2_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6098 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (r2_hidden(C,k1_relat_1(A)) -> k1_funct_1(k2_funct_7(A,C,B),C) = B)))) # label(t33_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6099 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(A,B) & k2_funcop_1(B,A) = C -> k9_funct_7(C,D) = C | np__0 = D))))) # label(t89_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6100 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> k5_relat_1(k6_partfun1(A),k5_relat_1(B,C)) = k4_funct_7(A,k10_finseq_1(B,C)))))) # label(t53_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6101 (all A all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & v1_funct_1(C) -> v1_funct_1(k9_funct_7(C,B)) & v1_funct_2(k9_funct_7(C,B),A,A) & m2_relset_1(k9_funct_7(C,B),A,A))))) # label(t85_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6102 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> k1_xboole_0 = k9_funct_7(k1_xboole_0,A))) # label(t82_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6103 (all A all B m1_subset_1(k1_funct_7(A,B),B)) # label(dt_k1_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6104 (all A all B all C (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k2_funct_7(A,B,C)) & v1_funct_1(k2_funct_7(A,B,C)))) # label(dt_k2_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6105 $T # label(t17_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6106 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C all D k2_funct_7(k2_funct_7(A,D,B),D,C) = k2_funct_7(A,D,C)))) # label(t36_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6107 (all A (v1_relat_1(A) & v1_funcop_1(A) & v1_finseq_1(A) & v1_funct_1(A) -> (p1_s5_funct_7(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> p1_s5_funct_7(k7_finseq_1(A,k9_finseq_1(B)))))))) & p1_s5_funct_7(k1_xboole_0) -> (all A (v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) & v1_finseq_1(A) -> p1_s5_funct_7(A))) # label(s5_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6108 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> k11_finseq_1(A,k1_funct_1(B,A),k1_funct_1(C,k1_funct_1(B,A))) = k5_funct_7(k10_finseq_1(B,C),A))))) # label(t55_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6109 (all A (r2_hidden(A,a_0_1_funct_7) <-> (exists B (r2_hidden(f3_s3_funct_7(B),f1_s3_funct_7) & A = B & m1_subset_1(B,f2_s3_funct_7))))) # label(fraenkel_a_0_1_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6110 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (r1_tarski(k2_relat_1(A),B) -> k5_relat_1(A,k6_partfun1(B)) = A)))) # label(t1_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6111 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_funcop_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> k4_funct_7(A,k7_finseq_1(k9_finseq_1(C),B)) = k5_relat_1(k7_relat_1(C,A),k4_funct_7(k9_relat_1(C,A),B)))))) # label(t45_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6112 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k9_funct_7(A,k1_nat_1(B,np__1)) = k5_relat_1(A,k9_funct_7(A,B)))))) # label(t71_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6113 (all A (m1_subset_1(A,f1_s1_funct_7) -> (all B (m1_subset_1(B,f2_s1_funct_7) -> r2_hidden(f4_s1_funct_7(A,B),f3_s1_funct_7))))) -> (exists A (v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(f1_s1_funct_7,f2_s1_funct_7),f3_s1_funct_7) & (all B (m1_subset_1(B,f1_s1_funct_7) -> (all C (m1_subset_1(C,f2_s1_funct_7) -> f4_s1_funct_7(B,C) = k8_funct_2(k2_zfmisc_1(f1_s1_funct_7,f2_s1_funct_7),f3_s1_funct_7,A,k1_domain_1(f1_s1_funct_7,f2_s1_funct_7,B,C)))))) & m2_relset_1(A,k2_zfmisc_1(f1_s1_funct_7,f2_s1_funct_7),f3_s1_funct_7))) # label(s1_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6114 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B ((v1_xboole_0(A) -> (v1_xboole_0(B) <-> k7_funct_7(A) = B)) & (-v1_xboole_0(A) -> (k7_funct_7(A) = B <-> k2_funct_5(k1_funct_1(A,k3_finseq_1(A))) = B)))))) # label(d7_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6115 (all A all B all C (r2_hidden(A,k3_xboole_0(B,C)) -> k1_funct_7(A,C) = k1_funct_7(A,B))) # label(t26_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6116 (all A all B (v1_relat_1(A) & v1_funct_1(B) & v1_relat_1(B) & v1_funct_1(A) -> v1_relat_1(k10_finseq_1(A,B)) & v1_finset_1(k10_finseq_1(A,B)) & v1_funcop_1(k10_finseq_1(A,B)) & v1_finseq_1(k10_finseq_1(A,B)) & v1_funct_1(k10_finseq_1(A,B)))) # label(fc5_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6117 (all A (v2_relat_1(A) & v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) & -v1_xboole_0(A) -> (all B (m2_funct_7(B,A) -> v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B))))) # label(dt_m2_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6118 (all A all B all C (-v1_xboole_0(A) & m1_funct_7(C,B,A) -> v1_funct_1(k8_funct_7(A,B,C)) & v1_funct_2(k8_funct_7(A,B,C),B,A) & m2_relset_1(k8_funct_7(A,B,C),B,A))) # label(dt_k8_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6119 (all A all B all C (m1_funct_7(C,A,B) -> v1_funct_7(C) & v1_finseq_1(C) & v1_funct_1(C) & v1_relat_1(C))) # label(dt_m1_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6120 (all A (v1_funct_1(A) & v1_finseq_1(A) & v2_relat_1(A) & v1_relat_1(A) & -v1_xboole_0(A) -> (all B (m2_funct_7(B,A) -> k1_relat_1(k4_funct_7(k1_funct_1(A,np__1),B)) = k1_funct_1(A,np__1) & r1_tarski(k2_relat_1(k4_funct_7(k1_funct_1(A,np__1),B)),k1_funct_1(A,k3_finseq_1(A))))))) # label(t69_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6121 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_finset_1(k5_finseq_1(A)) & v1_funcop_1(k5_finseq_1(A)) & v1_funct_7(k5_finseq_1(A)) & v1_finseq_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A)) & v1_relat_1(k5_finseq_1(A)) & -v1_xboole_0(k5_finseq_1(A)))) # label(fc10_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6122 (all A all B all C (v1_relat_1(A) & v1_funct_1(A) & v1_funct_1(C) & v1_relat_1(C) & v1_funct_1(B) & v1_relat_1(B) -> v1_relat_1(k11_finseq_1(A,B,C)) & v1_funct_1(k11_finseq_1(A,B,C)) & v1_finseq_1(k11_finseq_1(A,B,C)) & v1_funcop_1(k11_finseq_1(A,B,C)) & v1_finset_1(k11_finseq_1(A,B,C)))) # label(fc6_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6123 (all A all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (v2_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (all E (m1_subset_1(E,k1_zfmisc_1(B)) -> (r1_tarski(E,k2_funct_2(A,B,C,D)) -> r1_tarski(k3_funct_2(A,B,C,E),D))))))))))) # label(t2_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6124 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B k2_funct_7(A,B,k1_funct_1(A,B)) = A))) # label(t37_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6125 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (v2_funct_1(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (all F (m1_subset_1(F,k1_zfmisc_1(B)) -> (r2_hidden(k8_funct_2(A,B,C,D),k6_subset_1(B,k2_funct_2(A,B,C,E),F)) -> r2_hidden(D,k6_subset_1(A,E,k3_funct_2(A,B,C,F))))))))))))))))) # label(t4_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6126 $T # label(t9_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6127 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D k1_funct_4(k1_funct_4(A,k2_funcop_1(B,C)),k2_funcop_1(B,D)) = k1_funct_4(A,k2_funcop_1(B,D))))) # label(t16_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6128 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> k1_funct_4(k5_relat_1(A,B),k5_relat_1(A,C)) = k5_relat_1(A,k1_funct_4(B,C)))))))) # label(t11_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6129 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (r1_funct_7(A,B,C) -> k4_xboole_0(k1_relat_1(B),C) = k4_xboole_0(k1_relat_1(A),C))))))) # label(t30_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6130 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k1_relat_1(B),A) | r1_tarski(k1_relat_1(k5_relat_1(B,C)),A) -> k4_funct_7(A,k10_finseq_1(B,C)) = k5_relat_1(B,C)))))) # label(t54_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6131 (all A all B (v1_relat_1(B) & v1_funcop_1(B) & v1_finseq_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funcop_1(C) & v1_funct_1(C) -> k1_rewrite1(k5_funct_7(B,A),k5_funct_7(C,k1_funct_1(k5_funct_7(B,A),k1_nat_1(k3_finseq_1(B),np__1)))) = k5_funct_7(k7_finseq_1(B,C),A))))) # label(t52_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6132 (all A (r2_hidden(A,a_0_2_funct_7) <-> (exists B (m1_subset_1(B,f2_s4_funct_7) & r2_hidden(B,f1_s4_funct_7) & f3_s4_funct_7(B) = A)))) # label(fraenkel_a_0_2_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6133 (all A (m1_subset_1(A,f2_s2_funct_7) -> (all B (m1_subset_1(B,f2_s2_funct_7) -> (f4_s2_funct_7(B) = f4_s2_funct_7(A) -> B = A))))) & v1_finset_1(f1_s2_funct_7) -> v1_finset_1(a_0_0_funct_7) # label(s2_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6134 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(B)) -> C = k4_finseq_4(k5_numbers,A,k3_funct_7(A,B,D,C),D)))))))))) # label(t38_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6135 (all A (v1_funct_1(A) & v1_relat_1(A) -> (r1_xboole_0(k2_relat_1(A),k1_relat_1(A)) -> k1_xboole_0 = k9_funct_7(A,np__2)))) # label(t84_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6136 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(k2_relat_1(B),k1_relat_1(A)) & r1_tarski(k2_relat_1(C),k1_relat_1(A)) -> k5_relat_1(k1_funct_4(B,C),A) = k1_funct_4(k5_relat_1(B,A),k5_relat_1(C,A))))))))) # label(t10_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6137 (all A all B all C all D (v1_funct_1(k4_funct_4(A,B,C,D)) & v1_relat_1(k4_funct_4(A,B,C,D)) & -v1_xboole_0(k4_funct_4(A,B,C,D)))) # label(fc2_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6138 (all A all B (v1_funct_2(B,A,A) & m2_relset_1(B,A,A) & v1_funct_1(B) -> k6_partfun1(A) = k9_funct_7(B,np__0))) # label(t86_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6139 (all A all B (v1_relat_1(A) & m1_subset_1(B,k5_numbers) & v1_funct_1(A) -> v1_relat_1(k9_funct_7(A,B)) & v1_funct_1(k9_funct_7(A,B)))) # label(dt_k9_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6140 (all A (-v1_xboole_0(A) & v1_relat_1(A) & v2_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) -> (m2_funct_7(B,A) <-> k3_finseq_1(A) = k1_nat_1(k3_finseq_1(B),np__1) & (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(B)) -> r2_hidden(k1_funct_1(B,C),k1_funct_2(k1_funct_1(A,C),k1_funct_1(A,k1_nat_1(C,np__1)))))))))))) # label(d10_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6141 (all A (-v1_xboole_0(A) -> (all B (m2_finseq_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> k3_funct_7(A,B,E,k4_finseq_4(k5_numbers,A,B,E)) = B)))))))))) # label(t40_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6142 (all A (v1_relat_1(A) & v1_finseq_1(A) & v1_funct_7(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(k7_funct_7(A),k1_relat_1(B)) -> v1_funct_1(k7_finseq_1(A,k9_finseq_1(B))) & v1_funct_7(k7_finseq_1(A,k9_finseq_1(B))) & v1_finseq_1(k7_finseq_1(A,k9_finseq_1(B))) & v1_relat_1(k7_finseq_1(A,k9_finseq_1(B)))))))) # label(t66_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6143 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_finseq_1(k5_finseq_1(A)) & v1_funcop_1(k5_finseq_1(A)) & v1_finset_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A)) & v1_relat_1(k5_finseq_1(A)) & -v1_xboole_0(k5_finseq_1(A)))) # label(fc4_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6144 (all A -(r2_hidden(A,f1_s3_funct_7) & (all B (m1_subset_1(B,f2_s3_funct_7) -> A != f3_s3_funct_7(B))))) & (all A (m1_subset_1(A,f2_s3_funct_7) -> (all B (m1_subset_1(B,f2_s3_funct_7) -> (f3_s3_funct_7(B) = f3_s3_funct_7(A) -> B = A))))) -> r2_tarski(f1_s3_funct_7,a_0_1_funct_7) # label(s3_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6145 (all A all B (v1_finseq_1(B) & v1_funcop_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> ((exists D (v1_funcop_1(D) & k1_funct_1(D,np__0) = k6_partfun1(A) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(k1_nat_1(E,np__1),k4_finseq_1(B)) -> (all F (v1_funct_1(F) & v1_relat_1(F) -> (all G (v1_funct_1(G) & v1_relat_1(G) -> (G = k1_funct_1(B,k1_nat_1(E,np__1)) & F = k1_funct_1(D,E) -> k1_funct_1(D,k1_nat_1(E,np__1)) = k5_relat_1(F,G))))))))) & C = k1_funct_1(D,k3_finseq_1(B)) & m1_pboole(D,k5_numbers))) <-> C = k4_funct_7(A,B)))))) # label(d4_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6146 (all A all B ((v1_xboole_0(B) -> v1_xboole_0(A)) -> (all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_funct_7(C) -> (m1_funct_7(C,A,B) <-> k6_funct_7(C) = A & r1_tarski(k7_funct_7(C),B)))))) # label(d9_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6147 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) & v1_finseq_1(C) & v1_funct_7(C) -> (r2_hidden(A,k6_funct_7(C)) & r2_hidden(A,B) -> k1_funct_1(k4_funct_7(B,C),A) = k1_funct_1(k5_funct_7(C,A),k1_nat_1(k3_finseq_1(C),np__1))))) # label(t67_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.77 6148 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k4_funct_7(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_finseq_2(B,A)) = k9_funct_7(A,B))))) # label(t90_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6149 (all A (v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) -> (v1_funct_7(k7_finseq_1(A,B)) -> v1_funct_7(B) & v1_funct_7(A)))))) # label(t62_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6150 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_finseq_1(A) & v1_funct_7(A) -> v1_funct_1(A) & v1_finset_1(A) & v1_funcop_1(A) & v1_finseq_1(A) & v1_relat_1(A))) # label(cc1_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6151 (all A all B (v1_relat_1(B) & v1_finseq_1(B) & v1_funcop_1(B) & v1_funct_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> k7_finseq_1(k9_finseq_1(A),k5_funct_7(B,k1_funct_1(C,A))) = k5_funct_7(k7_finseq_1(k9_finseq_1(C),B),A))))) # label(t46_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6152 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> k10_finseq_1(A,k1_funct_1(B,A)) = k5_funct_7(k9_finseq_1(B),A))) # label(t49_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6153 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k5_relat_1(k9_funct_7(A,B),k6_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)))) = k9_funct_7(A,B))))) # label(t78_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6154 (all A (v1_relat_1(A) & v1_funct_1(A) -> k9_funct_7(A,np__1) = A)) # label(t72_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6155 (all A all B (r2_hidden(k9_finseq_1(A),k3_finseq_2(B)) <-> r2_hidden(A,B))) # label(t20_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6156 (all A all B all C (m1_funct_7(C,B,A) & -v1_xboole_0(A) -> k4_funct_7(B,C) = k8_funct_7(A,B,C))) # label(redefinition_k8_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6157 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (k2_xboole_0(A,k1_tarski(B)) = k1_relat_1(C) -> C = k1_funct_4(k7_relat_1(C,A),k3_cqc_lang(B,k1_funct_1(C,B)))))) # label(t15_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6158 (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) -> (v1_funcop_1(k7_finseq_1(A,B)) -> v1_funcop_1(A) & v1_funcop_1(B)))))) # label(t25_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6159 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C ((r2_hidden(B,k1_relat_1(A)) -> k1_funct_4(A,k3_cqc_lang(B,C)) = k2_funct_7(A,B,C)) & (-r2_hidden(B,k1_relat_1(A)) -> A = k2_funct_7(A,B,C)))))) # label(d3_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6160 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (k9_funct_7(A,B) = C <-> (exists D (v1_funct_1(D) & k6_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A))) = k8_funct_2(k5_numbers,k4_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))),D,np__0) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (exists F (v1_relat_1(F) & v1_funct_1(F) & k8_funct_2(k5_numbers,k4_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))),D,E) = F & k5_relat_1(A,F) = k8_funct_2(k5_numbers,k4_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))),D,k1_nat_1(E,np__1)))))) & C = k8_funct_2(k5_numbers,k4_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))),D,B) & m2_relset_1(D,k5_numbers,k4_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A)))) & v1_funct_2(D,k5_numbers,k4_partfun1(k2_xboole_0(k1_relat_1(A),k2_relat_1(A)),k2_xboole_0(k1_relat_1(A),k2_relat_1(A))))))))))))) # label(d11_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6161 (all A all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(k1_relat_1(B),A) -> B = k4_funct_7(A,k9_finseq_1(B))))) # label(t48_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6162 (all A (m1_subset_1(A,k1_zfmisc_1(k5_numbers)) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(B,A) -> r1_xreal_0(B,C) | r2_hidden(C,A)))))) -> v1_card_1(A)))) # label(t22_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6163 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (v2_funct_1(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (r2_hidden(k8_funct_2(A,B,C,D),k2_funct_2(A,B,C,E)) -> r2_hidden(D,E))))))))))))) # label(t3_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6164 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B r1_funct_7(A,A,B)))) # label(t27_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6165 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (all D (r1_funct_7(A,B,D) & r1_funct_7(B,C,D) -> r1_funct_7(A,C,D))))))))) # label(t29_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6166 (all A all B all C -(r2_hidden(A,k2_relat_1(k1_funct_4(k6_partfun1(C),k3_cqc_lang(A,B)))) & B != A)) # label(t14_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6167 (all A all B (-v1_xboole_0(k3_cqc_lang(A,B)) & v1_relat_1(k3_cqc_lang(A,B)) & v1_funct_1(k3_cqc_lang(A,B)))) # label(fc1_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6168 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k5_relat_1(k9_funct_7(A,C),k9_funct_7(A,B)) = k9_funct_7(A,k1_nat_1(B,C)))))))) # label(t79_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6169 (all A all B (v1_finseq_1(B) & v1_funcop_1(B) & v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> k7_finseq_1(k5_funct_7(B,A),k9_finseq_1(k1_funct_1(C,k1_funct_1(k5_funct_7(B,A),k1_nat_1(k3_finseq_1(B),np__1))))) = k5_funct_7(k7_finseq_1(B,k9_finseq_1(C)),A))))) # label(t44_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6170 (all A k4_funct_7(A,k1_xboole_0) = k6_partfun1(A)) # label(t41_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6171 (all A all B all C all D (m1_finseq_1(B,A) & m1_subset_1(C,k5_numbers) & m1_subset_1(D,A) -> k3_funct_7(A,B,C,D) = k2_funct_7(B,C,D))) # label(redefinition_k3_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6172 (all A all B (r2_hidden(A,B) -> A = k1_funct_7(A,B))) # label(d1_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6173 (all A all B all C (v1_funct_1(C) & v1_funcop_1(C) & v1_finseq_1(C) & v1_relat_1(C) -> (all D (v1_relat_1(D) & v1_funct_1(D) & v1_funcop_1(D) & v1_finseq_1(D) -> (r1_tarski(k2_relat_1(k4_funct_7(A,C)),B) -> k4_funct_7(A,k7_finseq_1(C,D)) = k5_relat_1(k4_funct_7(A,C),k4_funct_7(B,D))))))) # label(t50_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6174 (all A (v1_funcop_1(A) & v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) -> (all B all C (v1_relat_1(C) & v1_finseq_1(C) & v1_funct_1(C) -> (k5_funct_7(A,B) = C <-> k3_finseq_1(C) = k1_nat_1(k3_finseq_1(A),np__1) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (v1_relat_1(E) & v1_funct_1(E) -> (k1_funct_1(A,D) = E & r2_hidden(D,k4_finseq_1(A)) -> k1_funct_1(E,k1_funct_1(C,D)) = k1_funct_1(C,k1_nat_1(D,np__1))))))) & k1_funct_1(C,np__1) = B))))) # label(d5_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6175 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B all C all D all E (E != D -> k2_funct_7(k2_funct_7(A,D,B),E,C) = k2_funct_7(k2_funct_7(A,E,C),D,B))))) # label(t35_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6176 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_finseq_1(B) & v1_funcop_1(B) & v1_funct_1(B) & v1_funcop_1(A) & v1_finseq_1(A) -> v1_relat_1(k7_finseq_1(A,B)) & v1_funct_1(k7_finseq_1(A,B)) & v1_finseq_1(k7_finseq_1(A,B)) & v1_funcop_1(k7_finseq_1(A,B)) & v1_finset_1(k7_finseq_1(A,B)))) # label(fc8_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.28/25.78 6177 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C (r1_tarski(k1_relat_1(B),C) -> r1_funct_7(A,k1_funct_4(A,B),C))))))) # label(t31_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6178 (exists A (v2_relat_1(A) & v1_finset_1(A) & v1_funct_7(A) & v1_funcop_1(A) & v1_finseq_1(A) & v1_funct_1(A) & v1_relat_1(A) & -v1_xboole_0(A))) # label(rc2_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6179 (all A all B all C (-r1_xboole_0(A,k2_relat_1(k1_funct_4(k6_partfun1(B),k2_funcop_1(A,C)))) -> r2_hidden(C,A))) # label(t13_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6180 (all A (m1_subset_1(A,f2_s4_funct_7) -> (all B (m1_subset_1(B,f2_s4_funct_7) -> (f3_s4_funct_7(B) = f3_s4_funct_7(A) -> A = B))))) & r1_tarski(f1_s4_funct_7,f2_s4_funct_7) -> r2_tarski(f1_s4_funct_7,a_0_2_funct_7) # label(s4_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6181 (all A all B (m1_pboole(B,A) -> (all C (r2_hidden(C,A) -> k7_relat_1(B,k1_tarski(C)) = k3_cqc_lang(C,k1_funct_1(B,C)))))) # label(t7_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6182 (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) -> (k1_nat_1(k3_finseq_1(B),np__1) = k3_finseq_1(A) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(A)) & r2_hidden(k1_nat_1(C,np__1),k4_finseq_1(A)) <-> r2_hidden(C,k4_finseq_1(B)))))))))) # label(t24_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6183 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k9_funct_7(A,k1_nat_1(B,np__1)) = k5_relat_1(k9_funct_7(A,B),A))))) # label(t73_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6184 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (np__0 != B -> r1_tarski(k2_relat_1(k9_funct_7(A,B)),k2_relat_1(A)) & r1_tarski(k1_relat_1(k9_funct_7(A,B)),k1_relat_1(A))))))) # label(t75_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6185 (all A all B (v1_funct_1(B) & v1_finseq_1(B) & v1_funct_7(B) & v1_relat_1(B) -> (B != k1_xboole_0 -> k3_xboole_0(k6_funct_7(B),A) = k1_relat_1(k4_funct_7(A,B))))) # label(t63_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6186 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_funct_7(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (r1_tarski(k2_relat_1(B),k6_funct_7(A)) -> v1_relat_1(k7_finseq_1(k9_finseq_1(B),A)) & v1_funct_7(k7_finseq_1(k9_finseq_1(B),A)) & v1_finseq_1(k7_finseq_1(k9_finseq_1(B),A)) & v1_funct_1(k7_finseq_1(k9_finseq_1(B),A))))))) # label(t65_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6187 (all A (v1_funct_1(A) & v1_finseq_1(A) & v1_relat_1(A) & v1_xboole_0(A) -> v1_funct_1(A) & v1_funcop_1(A) & v1_funct_7(A) & v1_finseq_1(A) & v1_finset_1(A) & v1_relat_1(A))) # label(cc2_funct_7) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6188 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6189 (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]. 26.40/25.78 6190 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6191 (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]. 26.40/25.78 6192 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(u1_struct_0(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6193 (all A all B (-v3_struct_0(A) & l1_struct_0(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_struct_0(C,A,B) -> m1_subset_1(C,u1_struct_0(A)))))) # label(dt_m1_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6194 (all A all B (l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k1_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6195 (all A (l1_struct_0(A) -> (v1_struct_0(A) -> A = g1_struct_0(u1_struct_0(A))))) # label(abstractness_v1_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6196 (all A (l2_struct_0(A) -> l1_struct_0(A))) # label(dt_l2_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6197 (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]. 26.40/25.78 6198 (all A all B (l1_struct_0(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v3_struct_0(A) -> (exists C m1_struct_0(C,A,B)))) # label(existence_m1_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6199 (all A (l2_struct_0(A) -> (v2_struct_0(A) -> g2_struct_0(u1_struct_0(A),u2_struct_0(A)) = A))) # label(abstractness_v2_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6200 (exists A (l1_struct_0(A) & v1_struct_0(A))) # label(rc1_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6201 (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]. 26.40/25.78 6202 (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)) -> 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]. 26.40/25.78 6203 (all A all B (-v3_struct_0(A) & l1_struct_0(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,B) <-> m1_struct_0(C,A,B))))) # label(redefinition_m1_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6204 (exists A (-v3_struct_0(A) & l2_struct_0(A))) # label(rc4_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6205 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_struct_0(A) & -v3_struct_0(A) -> k2_struct_0(A,B,C) = k2_tarski(B,C))) # label(redefinition_k2_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6206 (all A all B (m1_subset_1(B,A) -> (all C all D (g2_struct_0(C,D) = g2_struct_0(A,B) -> A = C & D = B)))) # label(free_g2_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6207 (exists A l2_struct_0(A)) # label(existence_l2_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6208 (exists A (l2_struct_0(A) & v2_struct_0(A))) # label(rc2_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6209 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_struct_0(A) & -v3_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]. 26.40/25.78 6210 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (exists B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc5_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6211 (all A all B (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) -> k1_tarski(B) = k1_struct_0(A,B))) # label(redefinition_k1_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6212 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6213 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6214 (all A (l1_struct_0(A) -> (v3_struct_0(A) <-> v1_xboole_0(u1_struct_0(A))))) # label(d1_struct_0) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6215 $T # label(t72_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6216 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v6_cat_1(B,A) -> (all C (m1_cat_1(C,A,B,B) -> C = k10_cat_1(A,B)))))))) # label(t87_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6217 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> (exists C m2_cat_1(C,A,B)))) # label(existence_m2_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6218 (all A all B k3_cqc_lang(A,B) = k7_cat_1(A,B)) # label(redefinition_k7_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.40/25.78 6219 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v5_cat_1(F,A) & v5_cat_1(E,A) -> k1_xboole_0 = k6_cat_1(A,B,C) | v5_cat_1(k9_cat_1(A,B,C,D,E,F),A) | k6_cat_1(A,C,D) = k1_xboole_0))))))))))))) # label(t75_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.89 6220 $T # label(t130_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.89 6221 (all A (l1_cat_1(A) -> ((all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k3_cat_1(A,B) = k2_cat_1(A,C) -> k2_cat_1(A,k4_cat_1(A,B,C)) = k2_cat_1(A,B) & k3_cat_1(A,k4_cat_1(A,B,C)) = k3_cat_1(A,C)))))) & (all B (m1_subset_1(B,u1_cat_1(A)) -> k3_cat_1(A,k5_cat_1(A,B)) = B & (all C (m1_subset_1(C,u2_cat_1(A)) -> (B = k2_cat_1(A,C) -> k4_cat_1(A,k5_cat_1(A,B),C) = C))) & (all C (m1_subset_1(C,u2_cat_1(A)) -> (B = k3_cat_1(A,C) -> k4_cat_1(A,C,k5_cat_1(A,B)) = C))) & B = k2_cat_1(A,k5_cat_1(A,B)))) & (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k2_cat_1(A,C) = k3_cat_1(A,B) & k3_cat_1(A,C) = k2_cat_1(A,D) -> k4_cat_1(A,k4_cat_1(A,B,C),D) = k4_cat_1(A,B,k4_cat_1(A,C,D))))))))) & (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (r2_hidden(k4_tarski(C,B),k1_relat_1(u5_cat_1(A))) <-> k2_cat_1(A,C) = k3_cat_1(A,B)))))) -> v2_cat_1(A)))) # label(t29_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.89 6222 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (r1_cat_1(A,C,D) & r1_cat_1(A,B,C) -> r1_cat_1(A,B,D)))))))))) # label(t93_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.89 6223 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (v7_cat_1(B,A) & r1_cat_1(A,B,C) -> v7_cat_1(C,A)))))))) # label(t85_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.89 6224 $T # label(t14_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.89 6225 (all A (v2_cat_1(A) & l1_cat_1(A) -> k6_partfun1(u1_cat_1(A)) = k12_cat_1(A,A,k15_cat_1(A)))) # label(t117_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.89 6226 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v6_cat_1(B,A) <-> (all C (m1_subset_1(C,u1_cat_1(A)) -> (exists D (k6_cat_1(A,C,B) = k1_tarski(D) & m1_cat_1(D,A,C,B)))))))))) # label(t86_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.89 6227 $T # label(t20_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.89 6228 (all A (l1_cat_1(A) -> v1_funct_1(u4_cat_1(A)) & v1_funct_2(u4_cat_1(A),u2_cat_1(A),u1_cat_1(A)) & m2_relset_1(u4_cat_1(A),u2_cat_1(A),u1_cat_1(A)))) # label(dt_u4_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.89 6229 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> ((all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (k6_cat_1(A,D,E) != k1_xboole_0 -> (all F (m1_cat_1(F,A,D,E) -> (all G (m1_cat_1(G,A,D,E) -> (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,F) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,G) -> G = F)))))))))) <-> v10_cat_1(C,A,B)))))))) # label(d24_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.89 6230 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (v9_cat_1(D,A,B) & v9_cat_1(E,B,C) -> v9_cat_1(k14_cat_1(A,B,C,D,E),A,C)))))))))))) # label(t127_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.89 6231 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (k1_xboole_0 != k6_cat_1(A,D,E) -> (all F (m1_cat_1(F,A,D,E) -> r2_hidden(k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,F),k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)))))))))))))))) # label(t124_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6232 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(D,u1_cat_1(A)) & m2_cat_1(C,A,B) & l1_cat_1(B) & v2_cat_1(B) -> m1_subset_1(k13_cat_1(A,B,C,D),u1_cat_1(B)))) # label(dt_k13_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6233 (all A all B g1_cat_1(k1_tarski(A),k1_tarski(B),k7_cat_1(B,A),k7_cat_1(B,A),k1_cat_1(B,B,B),k7_cat_1(A,B)) = k8_cat_1(A,B)) # label(d9_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6234 (all A all B m1_subset_1(A,u2_cat_1(k8_cat_1(B,A)))) # label(t33_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6235 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> m2_cat_1(k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E),A,C))))))))))) # label(t110_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6236 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> v5_cat_1(k10_cat_1(A,B),A))))) # label(t74_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6237 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> B = k8_funct_2(u2_cat_1(A),u2_cat_1(A),k15_cat_1(A),B))))) # label(t115_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6238 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) -> ((all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (m1_subset_1(E,u1_cat_1(B)) & k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,E))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k2_cat_1(A,E) = k3_cat_1(A,D) -> k4_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k4_cat_1(A,D,E))))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> k10_cat_1(B,k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k3_cat_1(A,D))) & k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k2_cat_1(A,D))) = k10_cat_1(B,k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))))) -> m2_cat_1(C,A,B)))))))) # label(t96_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6239 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k6_cat_1(A,B,C) != k1_xboole_0 -> D = k9_cat_1(A,B,B,C,k10_cat_1(A,B),D)))))))))) # label(t58_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6240 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v4_cat_1(k9_cat_1(A,B,C,D,E,F),A) -> v4_cat_1(F,A) | k1_xboole_0 = k6_cat_1(A,C,D) | k1_xboole_0 = k6_cat_1(A,B,C)))))))))))))) # label(t67_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6241 (all A (l1_cat_1(A) -> v1_funct_1(u5_cat_1(A)) & m2_relset_1(u5_cat_1(A),k2_zfmisc_1(u2_cat_1(A),u2_cat_1(A)),u2_cat_1(A)))) # label(dt_u5_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6242 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (r2_hidden(D,k6_cat_1(A,B,C)) -> m1_cat_1(D,A,B,C))))))))) # label(t21_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6243 $T # label(t15_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6244 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (v3_cat_1(B,A) <-> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k3_cat_1(A,C) = k2_cat_1(A,B) & k4_cat_1(A,C,B) = k4_cat_1(A,D,B) & k3_cat_1(A,D) = k2_cat_1(A,B) & k2_cat_1(A,D) = k2_cat_1(A,C) -> C = D)))))))))) # label(d10_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6245 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> ((all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k3_cat_1(A,D) = k3_cat_1(A,C) & k4_cat_1(A,B,C) = k4_cat_1(A,B,D) & k3_cat_1(A,B) = k2_cat_1(A,D) & k3_cat_1(A,B) = k2_cat_1(A,C) -> C = D))))) <-> v4_cat_1(B,A)))))) # label(d11_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6246 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(A),k12_cat_1(A,A,k15_cat_1(A)),B) = B)))) # label(t116_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6247 (all A all B all C (m1_subset_1(C,u1_cat_1(k8_cat_1(A,B))) -> (all D (m1_subset_1(D,u1_cat_1(k8_cat_1(A,B))) -> k1_xboole_0 != k6_cat_1(k8_cat_1(A,B),C,D))))) # label(t38_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6248 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k3_cat_1(A,B) = k2_cat_1(A,C) -> k2_cat_1(A,B) = k2_cat_1(A,k4_cat_1(A,B,C)) & k3_cat_1(A,k4_cat_1(A,B,C)) = k3_cat_1(A,C)))))))) # label(t42_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6249 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> r2_hidden(k5_cat_1(A,B),k6_cat_1(A,B,B)))))) # label(t55_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6250 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> m1_cat_1(B,A,k2_cat_1(A,B),k3_cat_1(A,B)))))) # label(t22_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6251 (all A (l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k6_partfun1(u2_cat_1(A)),A,A))) # label(t111_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6252 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k1_xboole_0 != k6_cat_1(A,B,C) -> D = k9_cat_1(A,B,C,C,D,k10_cat_1(A,C))))))))))) # label(t57_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6253 $T # label(t13_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6254 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k6_cat_1(A,B,B) != k1_xboole_0)))) # label(t56_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6255 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k13_cat_1(B,C,E,k13_cat_1(A,B,D,F)) = k13_cat_1(A,C,k14_cat_1(A,B,C,D,E),F))))))))))))) # label(t113_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6256 $T # label(t101_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6257 (all A all B all C (m1_subset_1(B,u2_cat_1(A)) & m1_subset_1(C,u2_cat_1(A)) & l1_cat_1(A) -> m1_subset_1(k4_cat_1(A,B,C),u2_cat_1(A)))) # label(dt_k4_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6258 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> ((exists C (m1_subset_1(C,u2_cat_1(A)) & k2_cat_1(A,C) = k3_cat_1(A,B) & k5_cat_1(A,k2_cat_1(A,B)) = k4_cat_1(A,B,C) & k5_cat_1(A,k3_cat_1(A,B)) = k4_cat_1(A,C,B) & k3_cat_1(A,C) = k2_cat_1(A,B))) <-> v5_cat_1(B,A)))))) # label(d12_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6259 $T # label(t2_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6260 $T # label(t53_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6261 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_cat_1(F,A,B,C) -> (all G (m1_cat_1(G,A,C,D) -> (all H (m1_cat_1(H,A,D,E) -> -(k6_cat_1(A,D,E) != k1_xboole_0 & k9_cat_1(A,B,C,E,F,k9_cat_1(A,C,D,E,G,H)) != k9_cat_1(A,B,D,E,k9_cat_1(A,B,C,D,F,G),H) & k6_cat_1(A,C,D) != k1_xboole_0 & k6_cat_1(A,B,C) != k1_xboole_0))))))))))))))))) # label(t54_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6262 (all A all B all C (m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u1_cat_1(A)) & l1_cat_1(A) -> (exists D m1_cat_1(D,A,B,C)))) # label(existence_m1_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.44/25.90 6263 (all A (l1_cat_1(A) -> (v1_cat_1(A) -> g1_cat_1(u1_cat_1(A),u2_cat_1(A),u3_cat_1(A),u4_cat_1(A),u5_cat_1(A),u6_cat_1(A)) = A))) # label(abstractness_v1_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.52/25.90 6264 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> ((all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> k2_relat_1(k16_cat_1(A,B,C,D,E)) = k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)))))) <-> v9_cat_1(C,A,B)))))))) # label(t132_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.52/25.90 6265 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (r1_cat_1(A,B,C) <-> (exists D (m1_cat_1(D,A,B,C) & v5_cat_1(D,A))) & k6_cat_1(A,B,C) != k1_xboole_0))))))) # label(d17_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.52/25.90 6266 $T # label(t3_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.52/25.90 6267 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> r1_cat_1(A,B,B))))) # label(t91_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.52/25.90 6268 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (k6_cat_1(A,B,C) != k1_xboole_0 -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (m1_cat_1(D,A,B,C) <-> r2_hidden(D,k6_cat_1(A,B,C)))))))))))) # label(d7_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.52/25.90 6269 $T # label(t16_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.52/25.90 6270 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (v8_cat_1(C,A,B) <-> k2_relat_1(C) = u2_cat_1(B) & u1_cat_1(B) = k2_relat_1(k12_cat_1(A,B,C)) & v2_funct_1(C)))))))) # label(d22_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.52/25.90 6271 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> -((exists E (m1_cat_1(E,A,C,B) & (exists F (k9_cat_1(A,C,B,C,E,D) = k10_cat_1(A,C) & F != E & k10_cat_1(A,B) = k9_cat_1(A,B,C,B,D,F) & m1_cat_1(F,A,C,B))))) & k1_xboole_0 != k6_cat_1(A,C,B) & k1_xboole_0 != k6_cat_1(A,B,C)))))))))) # label(t71_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.52/25.90 6272 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (v6_cat_1(B,A) & v6_cat_1(C,A) -> r1_cat_1(A,B,C)))))))) # label(t88_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.52/25.90 6273 (exists A (v2_cat_1(A) & l1_cat_1(A))) # label(rc2_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.52/25.90 6274 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> -(k1_xboole_0 = k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)) & k1_xboole_0 != k6_cat_1(A,D,E)))))))))))) # label(t126_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.52/25.90 6275 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (v5_cat_1(D,A) -> k1_xboole_0 = k6_cat_1(A,B,C) | v5_cat_1(k11_cat_1(A,B,C,D),A)))))))))) # label(t76_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.52/25.90 6276 (all A all B all C k1_cat_1(A,B,C) = k3_cqc_lang(k4_tarski(A,B),C)) # label(d1_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.52/25.90 6277 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)))))))))) # label(t104_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.52/25.90 6278 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(C),k12_cat_1(A,C,k14_cat_1(A,B,C,D,E)),F) = k8_funct_2(u1_cat_1(B),u1_cat_1(C),k12_cat_1(B,C,E),k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,D),F)))))))))))))) # label(t112_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6279 (all A (l1_cat_1(A) -> -v1_xboole_0(u2_cat_1(A)))) # label(dt_u2_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6280 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k13_cat_1(A,B,C,k3_cat_1(A,D)) & k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k13_cat_1(A,B,C,k2_cat_1(A,D)))))))))) # label(t109_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6281 (all A (l1_cat_1(A) -> ((all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (r2_hidden(k4_tarski(C,B),k1_relat_1(u5_cat_1(A))) <-> k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),B)))))) & (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),B) -> k1_funct_1(u4_cat_1(A),k1_funct_1(u5_cat_1(A),k4_tarski(C,B))) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) & k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),B) = k1_funct_1(u3_cat_1(A),k1_funct_1(u5_cat_1(A),k4_tarski(C,B)))))))) & (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),B) & k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),D) -> k1_funct_1(u5_cat_1(A),k4_tarski(k1_funct_1(u5_cat_1(A),k4_tarski(D,C)),B)) = k1_funct_1(u5_cat_1(A),k4_tarski(D,k1_funct_1(u5_cat_1(A),k4_tarski(C,B))))))))))) & (all B (m1_subset_1(B,u1_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B)) = B & (all C (m1_subset_1(C,u2_cat_1(A)) -> (B = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) -> k1_funct_1(u5_cat_1(A),k4_tarski(k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B),C)) = C))) & (all C (m1_subset_1(C,u2_cat_1(A)) -> (B = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) -> C = k1_funct_1(u5_cat_1(A),k4_tarski(C,k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B)))))) & k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B)) = B)) <-> v2_cat_1(A)))) # label(d8_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6282 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k2_cat_1(A,C) = k3_cat_1(A,B) & k2_cat_1(A,D) = k3_cat_1(A,C) -> k4_cat_1(A,B,k4_cat_1(A,C,D)) = k4_cat_1(A,k4_cat_1(A,B,C),D)))))))))) # label(t43_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6283 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u1_cat_1(A)) & m1_cat_1(D,A,B,C) -> m1_cat_1(k11_cat_1(A,B,C,D),A,C,B))) # label(dt_k11_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6284 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,E) -> E = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)))))))))))) # label(t103_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6285 $T # label(dt_l1_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6286 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v3_cat_1(F,A) & v3_cat_1(E,A) -> v3_cat_1(k9_cat_1(A,B,C,D,E,F),A) | k1_xboole_0 = k6_cat_1(A,C,D) | k6_cat_1(A,B,C) = k1_xboole_0))))))))))))) # label(t61_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6287 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v4_cat_1(E,A) & v4_cat_1(F,A) -> k6_cat_1(A,B,C) = k1_xboole_0 | k6_cat_1(A,C,D) = k1_xboole_0 | v4_cat_1(k9_cat_1(A,B,C,D,E,F),A)))))))))))))) # label(t66_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6288 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (k5_cat_1(A,B) = k5_cat_1(A,C) -> B = C))))))) # label(t45_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6289 (all A (l1_cat_1(A) -> -v1_xboole_0(u1_cat_1(A)))) # label(dt_u1_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6290 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,E) -> E = k13_cat_1(A,B,C,D)))))))))))) # label(t107_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6291 (all A all B all C (m1_subset_1(C,u1_cat_1(k8_cat_1(A,B))) -> (all D (m1_subset_1(D,u1_cat_1(k8_cat_1(A,B))) -> (all E (m1_subset_1(E,u2_cat_1(k8_cat_1(A,B))) -> r2_hidden(E,k6_cat_1(k8_cat_1(A,B),C,D)))))))) # label(t36_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6292 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k6_cat_1(A,B,C) = k1_tarski(D) -> (all E (m1_cat_1(E,A,B,C) -> D = E))))))))))) # label(t25_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6293 (all A all B all C (m1_subset_1(C,u1_cat_1(k8_cat_1(A,B))) -> (all D (m1_subset_1(D,u1_cat_1(k8_cat_1(A,B))) -> (all E (m1_subset_1(E,u2_cat_1(k8_cat_1(A,B))) -> m1_cat_1(E,k8_cat_1(A,B),C,D))))))) # label(t37_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6294 (all A all B all C all D all E (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & m1_subset_1(E,u1_cat_1(A)) & m1_subset_1(D,u1_cat_1(A)) & m2_cat_1(C,A,B) & v2_cat_1(B) -> v1_funct_1(k16_cat_1(A,B,C,D,E)) & v1_funct_2(k16_cat_1(A,B,C,D,E),k6_cat_1(A,D,E),k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E))) & m2_relset_1(k16_cat_1(A,B,C,D,E),k6_cat_1(A,D,E),k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E))))) # label(dt_k16_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6295 (all A all B (v1_funct_1(k7_cat_1(A,B)) & v1_funct_2(k7_cat_1(A,B),k1_tarski(A),k1_tarski(B)) & m2_relset_1(k7_cat_1(A,B),k1_tarski(A),k1_tarski(B)))) # label(dt_k7_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6296 (all A all B all C (l1_cat_1(A) & m1_subset_1(C,u1_cat_1(A)) & m1_subset_1(B,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> m1_subset_1(D,u2_cat_1(A)))))) # label(dt_m1_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6297 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k1_xboole_0 != k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,B)))))) # label(t19_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6298 $T # label(t31_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6299 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B) = k5_cat_1(A,B))))) # label(d5_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6300 (all A all B (v2_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) -> m1_cat_1(k10_cat_1(A,B),A,B,B))) # label(dt_k10_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6301 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (C = k3_cat_1(A,D) & B = k2_cat_1(A,D) <-> r2_hidden(D,k6_cat_1(A,B,C))))))))))) # label(t18_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6302 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k6_cat_1(A,B,C) != k1_xboole_0 -> (v4_cat_1(D,A) <-> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_cat_1(F,A,C,E) -> (all G (m1_cat_1(G,A,C,E) -> (k9_cat_1(A,B,C,E,D,F) = k9_cat_1(A,B,C,E,D,G) -> F = G | k1_xboole_0 = k6_cat_1(A,C,E)))))))))))))))))) # label(t65_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6303 (all A all B all C (v2_cat_1(A) & l1_cat_1(B) & v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m1_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v2_cat_1(B) & l1_cat_1(A) -> v1_funct_1(k12_cat_1(A,B,C)) & v1_funct_2(k12_cat_1(A,B,C),u1_cat_1(A),u1_cat_1(B)) & m2_relset_1(k12_cat_1(A,B,C),u1_cat_1(A),u1_cat_1(B)))) # label(dt_k12_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6304 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v7_cat_1(B,A) -> (all C (m1_cat_1(C,A,B,B) -> C = k10_cat_1(A,B)))))))) # label(t83_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6305 (all A all B all C all D (m1_subset_1(D,k1_tarski(A)) -> (all E (m1_subset_1(E,k1_tarski(B)) -> k1_funct_1(k1_cat_1(A,B,C),k4_tarski(D,E)) = C)))) # label(t9_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6306 (all A (l1_cat_1(A) & v2_cat_1(A) -> k15_cat_1(A) = k6_partfun1(u2_cat_1(A)))) # label(d21_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6307 $T # label(t114_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6308 (all A all B (m1_subset_1(B,u2_cat_1(A)) & l1_cat_1(A) -> m1_subset_1(k2_cat_1(A,B),u1_cat_1(A)))) # label(dt_k2_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6309 $T # label(t30_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6310 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> v3_cat_1(k10_cat_1(A,B),A))))) # label(t64_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6311 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (k6_cat_1(A,D,E) != k1_xboole_0 -> (all F (m1_cat_1(F,A,D,E) -> k1_funct_1(k16_cat_1(A,B,C,D,E),F) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,F)))))))))))))) # label(t131_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6312 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k6_cat_1(A,B,C) != k1_xboole_0 -> B = k2_cat_1(A,D) & k3_cat_1(A,D) = C))))))))) # label(t23_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6313 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> ((all E (m1_cat_1(E,A,B,C) -> D = E)) -> k1_xboole_0 = k6_cat_1(A,B,C) | k1_tarski(D) = k6_cat_1(A,B,C)))))))))) # label(t26_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6314 $T # label(t80_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6315 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k1_xboole_0 != k6_cat_1(A,B,C) -> (v5_cat_1(D,A) <-> k6_cat_1(A,C,B) != k1_xboole_0 & (exists E (k10_cat_1(A,C) = k9_cat_1(A,C,B,C,E,D) & k10_cat_1(A,B) = k9_cat_1(A,B,C,B,D,E) & m1_cat_1(E,A,C,B))))))))))))) # label(t70_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6316 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (v5_cat_1(D,A) -> v4_cat_1(D,A) & v3_cat_1(D,A) | k6_cat_1(A,B,C) = k1_xboole_0))))))))) # label(t73_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6317 (all A all B all C all D all E (l1_cat_1(A) & v2_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,B,C) & l1_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> m2_cat_1(k14_cat_1(A,B,C,D,E),A,C))) # label(dt_k14_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6318 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k2_cat_1(A,B) = k3_cat_1(A,C) -> k1_funct_1(u5_cat_1(A),k4_tarski(B,C)) = k4_cat_1(A,C,B)))))))) # label(t41_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6319 $T # label(t120_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6320 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (r2_hidden(k4_tarski(C,B),k1_relat_1(u5_cat_1(A))) -> k1_funct_1(u5_cat_1(A),k4_tarski(C,B)) = k4_cat_1(A,B,C)))))))) # label(d4_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6321 (all A all B (m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) -> m1_subset_1(k5_cat_1(A,B),u2_cat_1(A)))) # label(dt_k5_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6322 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> ((all C (m1_subset_1(C,u1_cat_1(A)) -> (exists D (k1_tarski(D) = k6_cat_1(A,B,C) & m1_cat_1(D,A,B,C))))) <-> v7_cat_1(B,A)))))) # label(t82_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6323 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (r2_hidden(F,k6_cat_1(A,D,E)) -> r2_hidden(k1_funct_1(C,F),k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E))))))))))))))) # label(t123_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6324 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & m1_relset_1(D,B,A) & m1_relset_1(E,k2_zfmisc_1(B,B),B) & m1_relset_1(F,A,B) & v1_funct_2(F,A,B) & v1_funct_1(F) & v1_funct_1(E) & v1_funct_2(D,B,A) & v1_funct_1(D) & m1_relset_1(C,B,A) & v1_funct_2(C,B,A) -> l1_cat_1(g1_cat_1(A,B,C,D,E,F)) & v1_cat_1(g1_cat_1(A,B,C,D,E,F)))) # label(dt_g1_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6325 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (r1_cat_1(A,B,C) <-> (exists D (m1_cat_1(D,A,B,C) & (exists E (m1_cat_1(E,A,C,B) & k10_cat_1(A,C) = k9_cat_1(A,C,B,C,E,D) & k10_cat_1(A,B) = k9_cat_1(A,B,C,B,D,E))))) & k6_cat_1(A,C,B) != k1_xboole_0 & k1_xboole_0 != k6_cat_1(A,B,C)))))))) # label(t81_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6326 $T # label(t79_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6327 (all A all B (v2_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> (all C (m2_cat_1(C,A,B) -> v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C))))) # label(dt_m2_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6328 (all A all B all C all D (-v1_xboole_0(D) -> (all E (m2_relset_1(E,A,D) & v1_funct_2(E,A,D) & v1_funct_1(E) -> (r1_tarski(k2_funct_2(A,D,E,B),C) & r1_tarski(B,A) -> v1_funct_1(k2_partfun1(A,D,E,B)) & m2_relset_1(k2_partfun1(A,D,E,B),B,C) & v1_funct_2(k2_partfun1(A,D,E,B),B,C)))))) # label(t4_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6329 (all A all B all C (m1_subset_1(C,u1_cat_1(A)) & m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) -> m1_subset_1(k6_cat_1(A,B,C),k1_zfmisc_1(u2_cat_1(A))))) # label(dt_k6_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6330 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (v5_cat_1(D,A) -> k6_cat_1(A,B,C) = k1_xboole_0 | (all E (m1_cat_1(E,A,C,B) -> (k9_cat_1(A,B,C,B,D,E) = k10_cat_1(A,B) & k10_cat_1(A,C) = k9_cat_1(A,C,B,C,E,D) <-> E = k11_cat_1(A,B,C,D))))))))))))) # label(d14_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6331 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> -(k1_xboole_0 != k6_cat_1(A,B,C) & k1_xboole_0 = k6_cat_1(A,B,D) & k6_cat_1(A,C,D) != k1_xboole_0))))))))) # label(t52_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6332 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (v6_cat_1(B,A) -> v3_cat_1(D,A) | k6_cat_1(A,B,C) = k1_xboole_0))))))))) # label(t90_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6333 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (k10_cat_1(B,E) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) & m1_subset_1(E,u1_cat_1(B)))))))))))) # label(t97_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6334 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (r1_cat_1(A,B,C) -> r1_cat_1(A,C,B)))))))) # label(t92_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6335 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k2_cat_1(A,D)) & k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k3_cat_1(A,D)) = k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)))))))))) # label(t105_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6336 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u1_cat_1(B),u2_cat_1(B),u6_cat_1(B),k8_funct_2(u2_cat_1(B),u1_cat_1(B),u3_cat_1(B),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),D))) & k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),D))) = k8_funct_2(u1_cat_1(B),u2_cat_1(B),u6_cat_1(B),k8_funct_2(u2_cat_1(B),u1_cat_1(B),u4_cat_1(B),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (r2_hidden(k4_tarski(E,D),k1_relat_1(u5_cat_1(A))) -> k1_funct_1(u5_cat_1(B),k4_tarski(k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) = k1_funct_1(C,k1_funct_1(u5_cat_1(A),k4_tarski(E,D)))))))) & (all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (m1_subset_1(E,u1_cat_1(B)) & k8_funct_2(u1_cat_1(B),u2_cat_1(B),u6_cat_1(B),E) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),D)))))) <-> m2_cat_1(C,A,B)))))))) # label(d18_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6337 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (all E (m1_cat_1(E,A,C,B) -> (k9_cat_1(A,C,B,C,E,D) = k10_cat_1(A,C) -> k6_cat_1(A,C,B) = k1_xboole_0 | v3_cat_1(E,A) | k6_cat_1(A,B,C) = k1_xboole_0))))))))))) # label(t63_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6338 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k1_xboole_0 != k6_cat_1(A,B,C) -> ((all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_cat_1(F,A,E,B) -> (all G (m1_cat_1(G,A,E,B) -> (k9_cat_1(A,E,B,C,G,D) = k9_cat_1(A,E,B,C,F,D) -> k1_xboole_0 = k6_cat_1(A,E,B) | G = F))))))) <-> v3_cat_1(D,A))))))))))) # label(t60_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6339 $T # label(t5_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6340 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (v9_cat_1(C,A,B) <-> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)) != k1_xboole_0 -> (all F (m1_cat_1(F,B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)) -> (exists G (F = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,G) & m1_cat_1(G,A,D,E))) & k1_xboole_0 != k6_cat_1(A,D,E))))))))))))))) # label(d23_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6341 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (r2_hidden(k4_tarski(B,C),k1_relat_1(u5_cat_1(A))) <-> k2_cat_1(A,B) = k3_cat_1(A,C)))))))) # label(t40_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6342 (all A all B all C (m1_subset_1(C,u1_cat_1(k8_cat_1(A,B))) -> (all D (m1_subset_1(D,u1_cat_1(k8_cat_1(A,B))) -> (all E (m1_subset_1(E,u1_cat_1(k8_cat_1(A,B))) -> (all F (m1_subset_1(F,u1_cat_1(k8_cat_1(A,B))) -> (all G (m1_cat_1(G,k8_cat_1(A,B),C,D) -> (all H (m1_cat_1(H,k8_cat_1(A,B),E,F) -> H = G)))))))))))) # label(t39_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6343 (all A all B (l1_cat_1(k8_cat_1(A,B)) & v2_cat_1(k8_cat_1(A,B)) & v1_cat_1(k8_cat_1(A,B)))) # label(dt_k8_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6344 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> -(k1_xboole_0 != k6_cat_1(A,B,C) & -r2_hidden(k4_cat_1(A,E,F),k6_cat_1(A,B,D)) & k1_xboole_0 != k6_cat_1(A,C,D)))))))))))))) # label(t51_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6345 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (k6_cat_1(A,D,E) != k1_xboole_0 -> (all F (m1_cat_1(F,A,D,E) -> m1_cat_1(k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,F),B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E))))))))))))))) # label(t125_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6346 $T # label(t17_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6347 $T # label(t10_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6348 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (m1_subset_1(E,u1_cat_1(B)) & k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),D)) = k8_funct_2(u1_cat_1(B),u2_cat_1(B),u6_cat_1(B),E))))) -> (all D (v1_funct_2(D,u1_cat_1(A),u1_cat_1(B)) & m2_relset_1(D,u1_cat_1(A),u1_cat_1(B)) & v1_funct_1(D) -> (k12_cat_1(A,B,C) = D <-> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (k8_funct_2(u1_cat_1(B),u2_cat_1(B),u6_cat_1(B),F) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),E)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),D,E) = F))))))))))))))) # label(d19_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6349 $T # label(t121_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6350 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v3_cat_1(k9_cat_1(A,B,C,D,E,F),A) -> k1_xboole_0 = k6_cat_1(A,B,C) | v3_cat_1(E,A) | k6_cat_1(A,C,D) = k1_xboole_0))))))))))))) # label(t62_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6351 $T # label(t95_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6352 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> a_3_0_cat_1(A,B,C) = k6_cat_1(A,B,C))))))) # label(d6_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6353 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k13_cat_1(A,B,C,D) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D))))))))) # label(d20_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6354 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> ((all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> v2_funct_1(k16_cat_1(A,B,C,D,E)))))) <-> v10_cat_1(C,A,B)))))))) # label(t133_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.18 6355 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k10_cat_1(A,B) = k9_cat_1(A,B,B,B,k10_cat_1(A,B),k10_cat_1(A,B)))))) # label(t59_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6356 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,k13_cat_1(A,B,C,D)))))))))) # label(t108_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6357 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k2_cat_1(A,B) = k8_funct_2(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),B))))) # label(d2_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6358 $T # label(t119_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6359 (all A all B (v2_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) -> k10_cat_1(A,B) = k5_cat_1(A,B))) # label(redefinition_k10_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6360 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> (all D (v1_funct_2(D,u1_cat_1(A),u1_cat_1(B)) & m2_relset_1(D,u1_cat_1(A),u1_cat_1(B)) & v1_funct_1(D) -> ((all E (m1_subset_1(E,u1_cat_1(A)) -> k10_cat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),D,E)) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,E)))) & (all E (m1_subset_1(E,u2_cat_1(A)) -> (all F (m1_subset_1(F,u2_cat_1(A)) -> (k2_cat_1(A,F) = k3_cat_1(A,E) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k4_cat_1(A,E,F)) = k4_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,F))))))) & (all E (m1_subset_1(E,u2_cat_1(A)) -> k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),D,k2_cat_1(A,E)) & k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),D,k3_cat_1(A,E)))) -> m2_cat_1(C,A,B)))))))))) # label(t100_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6361 (all A all B all C all D all E (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(E,B,C) & m2_cat_1(D,A,B) -> k14_cat_1(A,B,C,D,E) = k5_relat_1(D,E))) # label(redefinition_k14_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6362 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v6_cat_1(B,A) <-> (all C (m1_subset_1(C,u1_cat_1(A)) -> k1_xboole_0 != k6_cat_1(A,C,B) & (exists D ((all E (m1_cat_1(E,A,C,B) -> D = E)) & m1_cat_1(D,A,C,B)))))))))) # label(d15_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6363 $T # label(t49_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6364 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_cat_1(F,A,B,C) -> -(k6_cat_1(A,B,C) = k1_tarski(F) & (all G (m1_cat_1(G,A,D,E) -> k1_tarski(G) != k6_cat_1(A,D,E))) & r2_tarski(k6_cat_1(A,B,C),k6_cat_1(A,D,E))))))))))))))) # label(t27_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6365 (all A all B all C (v1_funct_1(k1_cat_1(A,B,C)) & m2_relset_1(k1_cat_1(A,B,C),k2_zfmisc_1(k1_tarski(A),k1_tarski(B)),k1_tarski(C)))) # label(dt_k1_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6366 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (r1_cat_1(A,C,B) & v6_cat_1(B,A) -> v6_cat_1(C,A)))))))) # label(t89_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6367 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & m1_relset_1(C,B,A) & v1_funct_1(D) & v1_funct_1(E) & m1_relset_1(F,A,B) & v1_funct_2(F,A,B) & v1_funct_1(F) & m1_relset_1(E,k2_zfmisc_1(B,B),B) & m1_relset_1(D,B,A) & v1_funct_2(D,B,A) & v1_funct_2(C,B,A) -> (all G all H all I all J all K all L (g1_cat_1(A,B,C,D,E,F) = g1_cat_1(G,H,I,J,K,L) -> A = G & L = F & E = K & J = D & C = I & H = B)))) # label(free_g1_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6368 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (v10_cat_1(D,A,B) & v10_cat_1(E,B,C) -> v10_cat_1(k14_cat_1(A,B,C,D,E),A,C)))))))))))) # label(t128_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6369 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v7_cat_1(B,A) <-> (all C (m1_subset_1(C,u1_cat_1(A)) -> (exists D (m1_cat_1(D,A,B,C) & (all E (m1_cat_1(E,A,B,C) -> E = D)))) & k6_cat_1(A,B,C) != k1_xboole_0))))))) # label(d16_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6370 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> v4_cat_1(k10_cat_1(A,B),A))))) # label(t69_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6371 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> r1_tarski(k2_funct_2(u2_cat_1(A),u2_cat_1(B),C,k6_cat_1(A,D,E)),k6_cat_1(B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E))))))))))))) # label(t129_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6372 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_cat_1(F,A,B,C) -> (all G (m1_cat_1(G,A,D,E) -> (F = G -> k6_cat_1(A,D,E) = k1_xboole_0 | E = C & D = B | k6_cat_1(A,B,C) = k1_xboole_0))))))))))))))) # label(t24_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6373 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (B = k2_cat_1(A,C) -> C = k4_cat_1(A,k5_cat_1(A,B),C)))))))) # label(t47_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6374 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> k16_cat_1(A,B,C,D,E) = k2_partfun1(u2_cat_1(A),u2_cat_1(B),C,k6_cat_1(A,D,E)))))))))))) # label(d25_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6375 $T # label(t6_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6376 $T # label(t106_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6377 (all A (l1_cat_1(A) -> m2_relset_1(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A)) & v1_funct_2(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A)) & v1_funct_1(u6_cat_1(A)))) # label(dt_u6_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6378 (all A all B all C k1_funct_1(k1_cat_1(A,B,C),k4_tarski(A,B)) = C) # label(t8_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6379 $T # label(t12_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6380 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> B = k3_cat_1(A,k5_cat_1(A,B)) & k2_cat_1(A,k5_cat_1(A,B)) = B)))) # label(t44_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6381 (all A all B m1_subset_1(A,u1_cat_1(k8_cat_1(A,B)))) # label(t32_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6382 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (B = k3_cat_1(A,C) -> C = k4_cat_1(A,C,k5_cat_1(A,B))))))))) # label(t46_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6383 (all A all B all C (k1_relat_1(k1_cat_1(A,B,C)) = k2_zfmisc_1(k1_tarski(A),k1_tarski(B)) & k1_tarski(k4_tarski(A,B)) = k1_relat_1(k1_cat_1(A,B,C)))) # label(t7_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6384 (exists A (l1_cat_1(A) & v2_cat_1(A) & v1_cat_1(A))) # label(rc3_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6385 $T # label(t1_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6386 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),B) = k3_cat_1(A,B))))) # label(d3_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6387 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) -> ((all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,E) & m1_subset_1(E,u1_cat_1(B)))))) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (k10_cat_1(B,E) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D) = E)))))))))))) # label(t102_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6388 $T # label(t78_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6389 (all A all B (m1_subset_1(B,u2_cat_1(A)) & l1_cat_1(A) -> m1_subset_1(k3_cat_1(A,B),u1_cat_1(A)))) # label(dt_k3_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6390 (all A (l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k15_cat_1(A),A,A))) # label(dt_k15_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6391 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> B = k13_cat_1(A,A,k15_cat_1(A),B))))) # label(t118_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6392 $T # label(t11_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6393 (all A all B all C (m1_subset_1(C,u2_cat_1(k8_cat_1(A,B))) -> B = C)) # label(t35_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6394 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (all E (m1_cat_1(E,A,C,B) -> (k10_cat_1(A,C) = k9_cat_1(A,C,B,C,E,D) -> k6_cat_1(A,B,C) = k1_xboole_0 | v4_cat_1(D,A) | k6_cat_1(A,C,B) = k1_xboole_0))))))))))) # label(t68_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6395 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> (v5_cat_1(E,A) & v5_cat_1(F,A) -> k1_xboole_0 = k6_cat_1(A,B,C) | k1_xboole_0 = k6_cat_1(A,C,D) | k11_cat_1(A,B,D,k9_cat_1(A,B,C,D,E,F)) = k9_cat_1(A,D,C,B,k11_cat_1(A,C,D,F),k11_cat_1(A,B,C,E))))))))))))))) # label(t77_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6396 (all A all B all C all D all E all F (m1_subset_1(D,u1_cat_1(A)) & m1_cat_1(F,A,C,D) & m1_cat_1(E,A,B,C) & m1_subset_1(C,u1_cat_1(A)) & m1_subset_1(B,u1_cat_1(A)) & l1_cat_1(A) & v2_cat_1(A) -> m1_cat_1(k9_cat_1(A,B,C,D,E,F),A,B,D))) # label(dt_k9_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6397 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (v7_cat_1(C,A) & v7_cat_1(B,A) -> r1_cat_1(A,B,C)))))))) # label(t84_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6398 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> -(k1_xboole_0 != k6_cat_1(A,B,C) & k4_cat_1(A,E,F) != k9_cat_1(A,B,C,D,E,F) & k1_xboole_0 != k6_cat_1(A,C,D)))))))))))))) # label(d13_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6399 $T # label(t28_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6400 (all A all B all C all D (l1_cat_1(B) & m1_subset_1(D,u1_cat_1(B)) & m1_subset_1(C,u1_cat_1(B)) -> ((exists E (m1_subset_1(E,u2_cat_1(B)) & k2_cat_1(B,E) = C & D = k3_cat_1(B,E) & A = E)) <-> r2_hidden(A,a_3_0_cat_1(B,C,D))))) # label(fraenkel_a_3_0_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6401 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k10_cat_1(B,k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k3_cat_1(A,D))) & k10_cat_1(B,k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k2_cat_1(A,D))))))))))) # label(t98_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6402 (all A all B all C (m1_subset_1(C,u1_cat_1(k8_cat_1(A,B))) -> C = A)) # label(t34_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6403 $T # label(t50_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6404 $T # label(t94_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6405 (all A (l1_cat_1(A) & v2_cat_1(A) -> v8_cat_1(k15_cat_1(A),A,A))) # label(t122_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6406 (exists A (v1_cat_1(A) & l1_cat_1(A))) # label(rc1_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6407 (exists A l1_cat_1(A)) # label(existence_l1_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6408 (all A (l1_cat_1(A) -> m2_relset_1(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A)) & v1_funct_2(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A)) & v1_funct_1(u3_cat_1(A)))) # label(dt_u3_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6409 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k3_cat_1(A,D) = k2_cat_1(A,E) -> k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) & k4_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k4_cat_1(A,D,E))))))))))))) # label(t99_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6410 $T # label(t48_cat_1) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6411 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v8_lattices(A) & v7_lattices(A) & v9_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A) <-> v10_lattices(A)))) # label(d10_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6412 $T # label(t28_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6413 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v11_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k3_lattices(A,B,D) = k3_lattices(A,B,C) & k4_lattices(A,B,C) = k4_lattices(A,B,D) -> D = C))))))))) # label(t32_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6414 (all A (-v3_struct_0(A) & l1_lattices(A) -> (v7_lattices(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_lattices(A,k2_lattices(A,B,C),D) = k2_lattices(A,B,k2_lattices(A,C,D))))))))))) # label(d7_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6415 (all A (v8_lattices(A) & l3_lattices(A) & v6_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_lattices(A,k4_lattices(A,B,C),B))))))) # label(t23_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6416 (all A all B all C (-v3_struct_0(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_lattices(A) & v6_lattices(A) -> k4_lattices(A,B,C) = k2_lattices(A,B,C))) # label(redefinition_k4_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6417 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6418 (all A (l2_lattices(A) -> (v2_lattices(A) -> A = g2_lattices(u1_struct_0(A),u2_lattices(A))))) # label(abstractness_v2_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6419 $T # label(t9_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6420 (all A all B all C (v6_lattices(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & -v3_struct_0(A) -> k4_lattices(A,C,B) = k4_lattices(A,B,C))) # label(commutativity_k4_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6421 (all A (l2_lattices(A) -> v1_funct_1(u2_lattices(A)) & m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u2_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6422 $T # label(t20_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6423 $T # label(t24_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6424 $T # label(t36_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6425 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v9_lattices(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> B = k2_lattices(A,B,k1_lattices(A,B,C))))))))) # label(d9_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6426 (all A (v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k3_lattices(A,k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,C,D)),k4_lattices(A,D,B)) = k4_lattices(A,k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,C,D)),k3_lattices(A,D,B)))))))))) # label(t34_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6427 (all A (v10_lattices(A) & l3_lattices(A) & v11_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k3_lattices(A,B,k4_lattices(A,C,D)) = k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,B,D)))))))))) # label(t31_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6428 (all A (v4_lattices(A) & l2_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_lattices(A,C,B) & r1_lattices(A,B,C) -> C = B))))))) # label(t26_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6429 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k7_lattices(A,B),u1_struct_0(A)))) # label(dt_k7_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6430 (exists A (l2_lattices(A) & -v3_struct_0(A) & v2_lattices(A) & v4_lattices(A) & v5_lattices(A))) # label(rc7_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6431 (all A all B all C (l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k2_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k2_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6432 (all A (-v3_struct_0(A) & l1_lattices(A) -> (v13_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> B = k2_lattices(A,C,B) & B = k2_lattices(A,B,C))) <-> B = k5_lattices(A))))))) # label(d16_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6433 (exists A (l1_lattices(A) & -v3_struct_0(A) & v1_lattices(A) & v6_lattices(A) & v7_lattices(A))) # label(rc8_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6434 $T # label(t33_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6435 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v12_lattices(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_lattices(A,B,D) -> k1_lattices(A,B,k2_lattices(A,C,D)) = k2_lattices(A,k1_lattices(A,B,C),D))))))))))) # label(d12_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6436 $T # label(t12_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6437 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v17_lattices(A) -> v11_lattices(A) & v15_lattices(A) & v16_lattices(A) & v14_lattices(A) & v13_lattices(A) & -v3_struct_0(A)))) # label(cc5_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6438 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v14_lattices(A) & v13_lattices(A) -> v15_lattices(A) & -v3_struct_0(A)))) # label(cc3_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6439 (all A (l3_lattices(A) -> (v11_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v9_lattices(A) & v10_lattices(A) & v12_lattices(A) & v8_lattices(A) & v7_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A) & -v3_struct_0(A)))) # label(cc7_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6440 $T # label(t6_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6441 (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) -> v2_lattices(g2_lattices(A,B)) & l2_lattices(g2_lattices(A,B)))) # label(dt_g2_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6442 (all A (l3_lattices(A) -> l2_lattices(A) & l1_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6443 (all A (v5_lattices(A) & l2_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_lattices(A,C,D) & r1_lattices(A,B,C) -> r1_lattices(A,B,D)))))))))) # label(t25_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6444 (all A all B all C (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(C) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> l3_lattices(g3_lattices(A,B,C)) & v3_lattices(g3_lattices(A,B,C)))) # label(dt_g3_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6445 (all A (l3_lattices(A) & v13_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_lattices(A,k5_lattices(A),B) = B)))) # label(t39_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6446 (all A all B (m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C all D (g2_lattices(A,B) = g2_lattices(C,D) -> D = B & C = A)))) # label(free_g2_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6447 (exists A (-v3_struct_0(A) & v1_lattices(A) & l1_lattices(A))) # label(rc5_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6448 (all A all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) & -v1_xboole_0(A) -> v2_lattices(g2_lattices(A,B)) & -v3_struct_0(g2_lattices(A,B)))) # label(fc1_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6449 (all A all B (-v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> -v3_struct_0(g1_lattices(A,B)) & v1_lattices(g1_lattices(A,B)))) # label(fc2_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6450 (all A (-v3_struct_0(A) & v9_lattices(A) & l3_lattices(A) & v8_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_lattices(A,B,C) <-> B = k2_lattices(A,B,C)))))))) # label(t21_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6451 (all A (-v3_struct_0(A) & l3_lattices(A) & v13_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k4_lattices(A,k5_lattices(A),B) = k5_lattices(A))))) # label(t40_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6452 (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_lattices(g1_lattices(A,B)) & v1_lattices(g1_lattices(A,B)))) # label(dt_g1_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6453 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> r3_lattices(A,k7_lattices(A,C),k7_lattices(A,B))))))))) # label(t53_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6454 (all A (-v3_struct_0(A) & l1_lattices(A) -> m1_subset_1(k5_lattices(A),u1_struct_0(A)))) # label(dt_k5_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6455 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l3_lattices(A) & v9_lattices(A) & v8_lattices(A) & v6_lattices(A) & -v3_struct_0(A) -> r3_lattices(A,B,B))) # label(reflexivity_r3_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6456 (all A (-v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k4_lattices(A,B,C) = k5_lattices(A) <-> r3_lattices(A,B,k7_lattices(A,C))))))))) # label(t52_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6457 $T # label(t42_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6458 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6459 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v11_lattices(A) & v16_lattices(A) & v15_lattices(A) <-> v17_lattices(A)))) # label(d20_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6460 (all A (l1_lattices(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_lattices(A,B,C) = k2_lattices(A,C,B))))) <-> v6_lattices(A)))) # label(d6_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6461 (all A all B all C (-v3_struct_0(A) & v4_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l2_lattices(A) -> k3_lattices(A,B,C) = k1_lattices(A,B,C))) # label(redefinition_k3_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6462 $T # label(t10_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6463 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_lattices(A,B,C) <-> k1_lattices(A,C,B) = k6_lattices(A) & k5_lattices(A) = k2_lattices(A,C,B) & k5_lattices(A) = k2_lattices(A,B,C) & k1_lattices(A,B,C) = k6_lattices(A)))))))) # label(d18_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6464 (all A all B all C (v4_lattices(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l2_lattices(A) & -v3_struct_0(A) -> k3_lattices(A,B,C) = k3_lattices(A,C,B))) # label(commutativity_k3_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6465 (all A (l3_lattices(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (r2_lattices(A,C,B) & m1_subset_1(C,u1_struct_0(A)))))) <-> v16_lattices(A)))) # label(d19_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6466 (exists A (v2_lattices(A) & l2_lattices(A))) # label(rc2_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6467 $T # label(t11_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6468 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6469 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k7_lattices(A,k3_lattices(A,B,C)) = k4_lattices(A,k7_lattices(A,B),k7_lattices(A,C)))))))) # label(t51_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6470 (all A (l3_lattices(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_lattices(A,k2_lattices(A,B,C),k2_lattices(A,B,D)) = k2_lattices(A,B,k1_lattices(A,C,D)))))))) <-> v11_lattices(A)))) # label(d11_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6471 (all A (-v3_struct_0(A) & l3_lattices(A) & v14_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k4_lattices(A,k6_lattices(A),B))))) # label(t43_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6472 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) -> v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v9_lattices(A) & v8_lattices(A) & v4_lattices(A) & -v3_struct_0(A)))) # label(cc1_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6473 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_lattices(A,B,k3_lattices(A,C,D)) = k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,B,D)))))))) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,B,D)) = k3_lattices(A,B,k4_lattices(A,C,D))))))))))) # label(t19_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6474 $T # label(t16_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6475 (all A (-v3_struct_0(A) & l1_lattices(A) -> ((exists B ((all C (m1_subset_1(C,u1_struct_0(A)) -> B = k2_lattices(A,C,B) & k2_lattices(A,B,C) = B)) & m1_subset_1(B,u1_struct_0(A)))) <-> v13_lattices(A)))) # label(d13_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6476 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v13_lattices(A) & v14_lattices(A) <-> v15_lattices(A)))) # label(d15_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6477 (all A (l2_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C) = k1_lattices(A,B,C))))))) # label(d1_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6478 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v11_lattices(A) & l3_lattices(A) & v16_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_lattices(A,C,B) <-> C = k7_lattices(A,B))))))))) # label(d21_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6479 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v6_lattices(A) & v7_lattices(A) & v11_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v17_lattices(A) & v16_lattices(A) & v10_lattices(A) & v9_lattices(A) & v8_lattices(A) & v5_lattices(A))) # label(rc13_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6480 $T # label(t2_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6481 (exists A (l2_lattices(A) & v2_lattices(A) & -v3_struct_0(A))) # label(rc4_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6482 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6483 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_lattices(A) = k4_lattices(A,k7_lattices(A,B),B))))) # label(t47_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6484 $T # label(t46_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6485 (all A (-v3_struct_0(A) & l2_lattices(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_lattices(A,B,k1_lattices(A,C,D)) = k1_lattices(A,k1_lattices(A,B,C),D))))))) <-> v5_lattices(A)))) # label(d5_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6486 (all A (-v3_struct_0(A) & l3_lattices(A) & v14_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r3_lattices(A,B,k6_lattices(A)))))) # label(t45_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6487 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v15_lattices(A) -> -v3_struct_0(A) & v13_lattices(A) & v14_lattices(A)))) # label(cc4_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6488 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k3_lattices(A,k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,C,D)),k4_lattices(A,D,B)) = k4_lattices(A,k4_lattices(A,k3_lattices(A,B,C),k3_lattices(A,C,D)),k3_lattices(A,D,B)))))))) -> v11_lattices(A)))) # label(t29_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6489 $T # label(t14_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6490 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_lattices(A) = k3_lattices(A,k7_lattices(A,B),B))))) # label(t48_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6491 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6492 (exists A (v3_lattices(A) & v5_lattices(A) & v7_lattices(A) & v9_lattices(A) & v10_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v8_lattices(A) & v6_lattices(A) & v4_lattices(A) & -v3_struct_0(A) & l3_lattices(A))) # label(rc11_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.19 6493 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v5_lattices(A) & v8_lattices(A) & v9_lattices(A) & v7_lattices(A) & v6_lattices(A) & v4_lattices(A) -> -v3_struct_0(A) & v10_lattices(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6494 (all A (l1_lattices(A) -> v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(u1_lattices(A)))) # label(dt_u1_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6495 (all A (v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & v7_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_lattices(A,B,C) -> r1_lattices(A,k2_lattices(A,B,D),k2_lattices(A,C,D))))))))))) # label(t27_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6496 $T # label(t4_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6497 (all A all B all C (v6_lattices(A) & v9_lattices(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) & v8_lattices(A) & -v3_struct_0(A) -> (r3_lattices(A,B,C) <-> r1_lattices(A,B,C)))) # label(redefinition_r3_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6498 (all A (l1_lattices(A) -> (v1_lattices(A) -> A = g1_lattices(u1_struct_0(A),u1_lattices(A))))) # label(abstractness_v1_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6499 (all A (-v3_struct_0(A) & v13_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r3_lattices(A,k5_lattices(A),B))))) # label(t41_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6500 $T # label(t15_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6501 (exists A (l3_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A) & v3_lattices(A) & -v3_struct_0(A))) # label(rc9_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6502 (all A (l2_lattices(A) & -v3_struct_0(A) -> ((exists B (m1_subset_1(B,u1_struct_0(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> B = k1_lattices(A,B,C) & B = k1_lattices(A,C,B))))) <-> v14_lattices(A)))) # label(d14_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6503 (all A (-v3_struct_0(A) & l2_lattices(A) -> m1_subset_1(k6_lattices(A),u1_struct_0(A)))) # label(dt_k6_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6504 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l2_lattices(A) & v4_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k3_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k3_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6505 (all A (v6_lattices(A) & v9_lattices(A) & l3_lattices(A) & v8_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k4_lattices(A,B,B))))) # label(t18_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6506 $T # label(t7_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6507 (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_lattices(A,B) = g1_lattices(C,D) -> C = A & B = D)))) # label(free_g1_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6508 $T # label(t38_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6509 (all A (-v3_struct_0(A) & l2_lattices(A) -> (v14_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> B = k1_lattices(A,C,B) & k1_lattices(A,B,C) = B)) <-> k6_lattices(A) = B)))))) # label(d17_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6510 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k7_lattices(A,k7_lattices(A,B)) = B)))) # label(t49_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6511 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> (all D all E all F (g3_lattices(A,B,C) = g3_lattices(D,E,F) -> F = C & B = E & A = D)))) # label(free_g3_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6512 (all A (-v3_struct_0(A) & l2_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_lattices(A,B,C) = C <-> r1_lattices(A,B,C)))))))) # label(d3_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6513 (all A all B all C (-v3_struct_0(A) & l2_lattices(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k1_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k1_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6514 (exists A (v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A) & v3_lattices(A) & -v3_struct_0(A) & l3_lattices(A))) # label(rc12_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6515 (all A (l1_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,C) = k2_lattices(A,B,C))))))) # label(d2_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6516 $T # label(t30_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6517 (all A (v8_lattices(A) & l3_lattices(A) & v9_lattices(A) & v6_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_lattices(A,B,B))))) # label(t17_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6518 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & -v1_xboole_0(A) -> -v3_struct_0(g3_lattices(A,B,C)) & v3_lattices(g3_lattices(A,B,C)))) # label(fc3_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6519 (all A (v14_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_lattices(A,k6_lattices(A),B) = k6_lattices(A))))) # label(t44_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6520 $T # label(t37_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6521 (all A (l2_lattices(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_lattices(A,B,C) = k1_lattices(A,C,B))))) <-> v4_lattices(A)))) # label(d4_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6522 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k7_lattices(A,k4_lattices(A,B,C)) = k3_lattices(A,k7_lattices(A,B),k7_lattices(A,C)))))))) # label(t50_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6523 $T # label(t8_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6524 $T # label(t35_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6525 $T # label(t13_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6526 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_lattices(A) & v6_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k4_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k4_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6527 (all A (l3_lattices(A) & v9_lattices(A) & v8_lattices(A) & v6_lattices(A) & v5_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_lattices(A,B,k1_lattices(A,B,C)))))))) # label(t22_lattices) # label(axiom) # label(non_clause). [assumption]. 26.74/26.20 6528 (exists A (v3_lattices(A) & v7_lattices(A) & v9_lattices(A) & v10_lattices(A) & v14_lattices(A) & v13_lattices(A) & v12_lattices(A) & v11_lattices(A) & v8_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A) & -v3_struct_0(A) & l3_lattices(A))) # label(rc10_lattices) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6529 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6530 $T # label(t5_lattices) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6531 (exists A (l1_lattices(A) & v1_lattices(A))) # label(rc1_lattices) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6532 $T # label(t1_lattices) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6533 (all A (l3_lattices(A) -> (v3_lattices(A) -> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))) # label(abstractness_v3_lattices) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6534 $T # label(t3_lattices) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6535 (all A (-v3_struct_0(A) & l3_lattices(A) -> (v8_lattices(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_lattices(A,k2_lattices(A,B,C),C) = C))))))) # label(d8_lattices) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6536 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6537 (all A (l3_lattices(A) -> (v16_lattices(A) & v15_lattices(A) & v11_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v17_lattices(A)))) # label(cc6_lattices) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6538 $T # label(t26_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6539 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> l1_pre_topc(B))))) # label(dt_m1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6540 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_xboole_0(B,C) & k4_subset_1(u1_struct_0(A),B,C) = k2_pre_topc(A) -> C = k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B)))))))) # label(t25_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6541 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & l1_struct_0(B) & l1_struct_0(A) -> m1_subset_1(k5_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k5_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6542 $T # label(t34_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6543 $T # label(d7_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6544 (exists A (-v3_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & l1_pre_topc(A))) # label(rc2_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6545 (all A (l1_struct_0(A) -> k1_xboole_0 = k1_pre_topc(A))) # label(d2_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6546 $T # label(t40_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6547 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(k2_pre_topc(A)))) # label(fc2_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6548 $T # label(t9_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6549 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> k6_pre_topc(A,B) = B) & (v2_pre_topc(A) & k6_pre_topc(A,B) = B -> v4_pre_topc(B,A)))))) # label(t52_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6550 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k6_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6551 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v1_pre_topc(k3_pre_topc(A,B)) & v2_pre_topc(k3_pre_topc(A,B)))) # label(fc4_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6552 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> ((all D (r2_hidden(D,u1_struct_0(A)) -> (r2_hidden(D,C) <-> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(E,A) & r1_xboole_0(B,E) & r2_hidden(D,E))))))) <-> C = k6_pre_topc(A,B)))))))) # label(d13_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6553 (all A (l1_struct_0(A) -> k2_pre_topc(A) = k3_subset_1(u1_struct_0(A),k1_pre_topc(A)))) # label(t27_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6554 $T # label(t28_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6555 $T # label(t10_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6556 (all A all B all C all D (l1_struct_0(A) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) & l1_struct_0(B) -> k9_relat_1(C,D) = k4_pre_topc(A,B,C,D))) # label(redefinition_k4_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6557 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k4_subset_1(u1_struct_0(A),B,k3_subset_1(u1_struct_0(A),B)) = k2_pre_topc(A))))) # label(t18_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6558 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (exists C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & k6_pre_topc(A,B) = k6_setfam_1(u1_struct_0(A),C) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(D,C) <-> v4_pre_topc(D,A) & r1_tarski(B,D)))))))))) # label(t46_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6559 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C all D (g1_pre_topc(C,D) = g1_pre_topc(A,B) -> D = B & C = A)))) # label(free_g1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6560 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (exists B (v1_pre_topc(B) & -v3_struct_0(B) & m1_pre_topc(B,A))))) # label(rc4_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6561 $T # label(t38_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6562 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v4_pre_topc(k2_pre_topc(A),A))) # label(fc5_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6563 $T # label(t8_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6564 $T # label(t37_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6565 (all A (l1_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B))))) # label(rc3_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6566 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> v4_pre_topc(C,A)))) -> v4_pre_topc(k6_setfam_1(u1_struct_0(A),B),A)))))) # label(t44_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6567 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (m1_pre_topc(B,A) <-> r1_tarski(k2_pre_topc(B),k2_pre_topc(A)) & (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(C,u1_pre_topc(B)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & C = k3_xboole_0(D,k2_pre_topc(B)) & r2_hidden(D,u1_pre_topc(A)))))))))))) # label(d9_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6568 $T # label(t19_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6569 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) & -v3_struct_0(A) -> v1_pre_topc(k3_pre_topc(A,B)) & -v3_struct_0(k3_pre_topc(A,B)))) # label(fc3_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6570 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v2_pre_topc(B) & v1_pre_topc(B))))) # label(rc5_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6571 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,k6_pre_topc(A,B)) <-> -v3_struct_0(A) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(C,D) & r1_xboole_0(B,D) & v3_pre_topc(D,A))))))))))) # label(t54_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6572 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))))))) # label(t39_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6573 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> k6_pre_topc(A,k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B)) = k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B)) & (k6_pre_topc(A,k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B)) = k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B) & v2_pre_topc(A) -> v3_pre_topc(B,A)))))) # label(t53_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6574 $T # label(t1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6575 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(B,k6_pre_topc(A,B)))))) # label(t48_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6576 (all A (l1_struct_0(A) -> k2_pre_topc(A) = u1_struct_0(A))) # label(d3_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6577 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc6_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6578 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B) = k3_subset_1(u1_struct_0(A),B))))) # label(t17_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6579 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(B,k2_pre_topc(A)))))) # label(t14_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6580 $T # label(t21_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6581 (all A (l1_struct_0(A) -> v1_xboole_0(k1_pre_topc(A)) & v3_membered(k1_pre_topc(A)) & v4_membered(k1_pre_topc(A)) & v5_membered(k1_pre_topc(A)) & v2_membered(k1_pre_topc(A)) & v1_membered(k1_pre_topc(A)))) # label(fc1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6582 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v4_pre_topc(B,A))))) # label(rc7_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6583 (all A (l1_pre_topc(A) -> (exists B m1_pre_topc(B,A)))) # label(existence_m1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6584 (all A all B all C all D (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) & l1_struct_0(B) & l1_struct_0(A) -> m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))))) # label(dt_k4_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6585 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> v2_pre_topc(B))))) # label(cc1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6586 $T # label(t3_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6587 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B) -> k2_pre_topc(A) = k4_subset_1(u1_struct_0(A),B,C)))))))) # label(t24_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6588 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> r2_hidden(k1_xboole_0,u1_pre_topc(A)))) # label(t5_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6589 $T # label(t35_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6590 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_subset_1(u1_struct_0(A),k2_pre_topc(A),k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B)) = B)))) # label(t22_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6591 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & k3_xboole_0(D,k2_pre_topc(B)) = C & v4_pre_topc(D,A))) <-> v4_pre_topc(C,B)))))))) # label(t43_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6592 $T # label(t11_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6593 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_pre_topc(k3_pre_topc(A,B),A) & v1_pre_topc(k3_pre_topc(A,B)))) # label(dt_k3_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6594 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (r2_hidden(C,u1_struct_0(A)) -> (r2_hidden(C,k6_pre_topc(A,B)) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,D) & v4_pre_topc(D,A) -> r2_hidden(C,D))))))))))) # label(t45_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6595 $T # label(t6_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6596 $T # label(t4_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6597 $T # label(d4_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6598 $T # label(t32_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6599 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) -> r1_tarski(k6_pre_topc(A,B),k6_pre_topc(A,C))))))))) # label(t49_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6600 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r2_hidden(B,k2_pre_topc(A)))))) # label(t13_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6601 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> l1_pre_topc(g1_pre_topc(A,B)) & v1_pre_topc(g1_pre_topc(A,B)))) # label(dt_g1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6602 $T # label(t2_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6603 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B),A) <-> v4_pre_topc(B,A)))))) # label(d6_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6604 (all A all B all C all D (l1_struct_0(A) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) & l1_struct_0(B) -> k5_pre_topc(A,B,C,D) = k10_relat_1(C,D))) # label(redefinition_k5_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6605 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_pre_topc(C,A) & v1_pre_topc(C) -> (B = k2_pre_topc(C) <-> k3_pre_topc(A,B) = C))))))) # label(d10_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6606 $T # label(t20_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6607 (all A (l1_struct_0(A) -> k2_pre_topc(A) = u1_struct_0(A))) # label(t12_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6608 $T # label(t31_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6609 (exists A (v1_pre_topc(A) & l1_pre_topc(A))) # label(rc1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6610 (all A (l1_pre_topc(A) -> l1_struct_0(A))) # label(dt_l1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6611 $T # label(t36_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6612 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) <-> r2_hidden(B,u1_pre_topc(A))))))) # label(d5_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6613 $T # label(d11_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6614 (all A (l1_struct_0(A) -> m1_subset_1(k1_pre_topc(A),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6615 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v4_pre_topc(k2_pre_topc(A),A))) # label(t42_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6616 (all A (l1_pre_topc(A) -> (v2_pre_topc(A) <-> r2_hidden(u1_struct_0(A),u1_pre_topc(A)) & (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,u1_pre_topc(A)) -> r2_hidden(k5_setfam_1(u1_struct_0(A),B),u1_pre_topc(A))))) & (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,u1_pre_topc(A)) & r2_hidden(C,u1_pre_topc(A)) -> r2_hidden(k5_subset_1(u1_struct_0(A),B,C),u1_pre_topc(A)))))))))) # label(d1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6617 $T # label(t7_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6618 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k6_pre_topc(A,k5_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),k6_pre_topc(A,B),k6_pre_topc(A,C))))))))) # label(t51_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6619 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(k1_xboole_0 != k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B) & k2_pre_topc(A) = B) & -(k1_xboole_0 = k6_subset_1(u1_struct_0(A),k2_pre_topc(A),B) & k2_pre_topc(A) != B))))) # label(t23_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6620 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(A,k4_subset_1(u1_struct_0(A),B,C)) = k4_subset_1(u1_struct_0(A),k6_pre_topc(A,B),k6_pre_topc(A,C)))))))) # label(t50_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6621 (all A (l1_struct_0(A) -> m1_subset_1(k2_pre_topc(A),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k2_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6622 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v4_pre_topc(D,B) -> v4_pre_topc(k5_pre_topc(A,B,C,D),A)))) <-> v5_pre_topc(C,A,B)))))))) # label(d12_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6623 $T # label(t29_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6624 (all A (l1_struct_0(A) -> (all B (r1_tarski(B,k2_pre_topc(A)) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(t16_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6625 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> B = k5_subset_1(u1_struct_0(A),B,k2_pre_topc(A)))))) # label(t15_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6626 (exists A l1_pre_topc(A)) # label(existence_l1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6627 $T # label(t30_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6628 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (m1_subset_1(C,u1_struct_0(A)) -> -r2_hidden(C,B))) & B != k1_pre_topc(A)))))) # label(t41_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6629 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_pre_topc(A,B) <-> k5_setfam_1(u1_struct_0(A),B) = k2_pre_topc(A)))))) # label(d8_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6630 (all A (l1_pre_topc(A) -> m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_u1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6631 (all A (l1_pre_topc(A) -> (v1_pre_topc(A) -> g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = A))) # label(abstractness_v1_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6632 $T # label(t33_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6633 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> k6_pre_topc(B,D) = k3_xboole_0(k6_pre_topc(A,C),k2_pre_topc(B))))))))))) # label(t47_pre_topc) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6634 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) <-> k1_xboole_0 = k1_tops_1(A,B)))))) # label(t84_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6635 $T # label(t98_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6636 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k1_tops_1(A,k6_subset_1(u1_struct_0(A),B,C)),k6_subset_1(u1_struct_0(A),k1_tops_1(A,B),k1_tops_1(A,C))))))))) # label(t50_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6637 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) & v4_pre_topc(B,A) -> v4_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t36_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6638 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,k6_pre_topc(A,k1_tops_1(A,B))) & r1_tarski(k1_tops_1(A,k6_pre_topc(A,B)),B) <-> v4_tops_1(B,A)))))) # label(d6_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6639 $T # label(t15_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6640 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_tops_1(B,A) <-> B = k1_tops_1(A,k6_pre_topc(A,B))))))) # label(d8_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6641 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v5_tops_1(C,A) & v5_tops_1(B,A) -> v5_tops_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t108_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6642 $T # label(t3_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6643 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) & v4_pre_topc(C,A) & v2_tops_1(C,A) -> v2_tops_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t85_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6644 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = k1_tops_1(A,C) -> v3_pre_topc(C,A)) & (v3_pre_topc(D,B) -> D = k1_tops_1(B,D)))))))))) # label(t55_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6645 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k5_subset_1(u1_struct_0(A),k6_pre_topc(A,B),k6_pre_topc(A,k3_subset_1(u1_struct_0(A),B))) = k2_tops_1(A,B))))) # label(d2_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6646 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) & v2_tops_1(B,A) -> v2_tops_1(B,A) & v3_tops_1(B,A)))))) # label(cc5_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6647 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v4_pre_topc(k2_pre_topc(A),A) & v3_pre_topc(k2_pre_topc(A),A))) # label(fc8_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6648 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_tops_1(A,k1_tops_1(A,B)) = k1_tops_1(A,B))))) # label(t45_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6649 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) <-> k6_subset_1(u1_struct_0(A),B,k1_tops_1(A,B)) = k2_tops_1(A,B)))))) # label(t77_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6650 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(B,A) & v3_pre_topc(B,A))))) # label(rc2_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6651 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(C,A) & r1_xboole_0(B,C) & k1_xboole_0 != C))) <-> v1_tops_1(B,A)))))) # label(t80_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6652 $T # label(t19_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6653 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_pre_topc(A) -> v4_pre_topc(k6_pre_topc(A,B),A))) # label(fc2_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6654 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v5_tops_1(B,A) -> r1_tarski(k2_tops_1(A,B),k6_pre_topc(A,k1_tops_1(A,B)))))))) # label(t103_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6655 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) & v3_pre_topc(B,A) -> (v6_tops_1(B,A) <-> v5_tops_1(B,A))))))) # label(t105_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6656 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B,A) & l1_pre_topc(A) & v2_pre_topc(A) -> v3_tops_1(k2_tops_1(A,B),A) & v2_tops_1(k2_tops_1(A,B),A))) # label(fc12_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6657 $T # label(t7_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6658 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k2_tops_1(A,B) = k4_subset_1(u1_struct_0(A),k5_subset_1(u1_struct_0(A),k6_pre_topc(A,k3_subset_1(u1_struct_0(A),B)),B),k6_subset_1(u1_struct_0(A),k6_pre_topc(A,B),B)))))) # label(t64_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6659 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (v4_pre_topc(B,A) & v3_pre_topc(B,A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc3_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6660 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) <-> (all C (r2_hidden(C,B) <-> (exists D (r1_tarski(D,B) & r2_hidden(C,D) & v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))))))))))) # label(t57_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6661 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v3_pre_topc(k1_pre_topc(A),A))) # label(t52_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6662 $T # label(t12_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6663 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) -> v4_tops_1(k6_pre_topc(A,B),A) & v4_tops_1(k1_tops_1(A,B),A)))))) # label(t111_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6664 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k1_tops_1(A,B),B))))) # label(t44_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6665 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k2_tops_1(A,k3_subset_1(u1_struct_0(A),B)) = k2_tops_1(A,B))))) # label(t62_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6666 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v6_tops_1(C,A) -> v3_pre_topc(C,A) & v4_tops_1(C,A)) & (v4_tops_1(D,B) & v3_pre_topc(D,B) -> v6_tops_1(D,B)))))))))) # label(t107_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6667 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B,A) -> v4_pre_topc(k3_subset_1(u1_struct_0(A),B),A))) # label(fc4_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6668 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> k6_pre_topc(A,k5_subset_1(u1_struct_0(A),B,C)) = k6_pre_topc(A,k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C)))))))))) # label(t41_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6669 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & v3_tops_1(B,A) -> B = k1_xboole_0))))) # label(t97_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6670 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> k2_pre_topc(A) = k1_tops_1(A,k2_pre_topc(A)))) # label(t43_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.20 6671 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> v4_pre_topc(k1_pre_topc(A),A))) # label(t22_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6672 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_tops_1(B,A) <-> v5_tops_1(k3_subset_1(u1_struct_0(A),B),A)))))) # label(t101_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6673 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & r1_tarski(B,C) -> r1_tarski(B,k1_tops_1(A,C))))))))) # label(t56_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6674 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_subset_1(k2_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k2_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6675 $T # label(t33_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6676 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B,A) & v2_membered(B) & v2_tops_1(B,A) & v3_tops_1(B,A) & v5_membered(B) & v4_membered(B) & v3_membered(B) & v1_membered(B) & v4_pre_topc(B,A) & v1_xboole_0(B))))) # label(rc5_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6677 (all A (l1_pre_topc(A) -> k1_pre_topc(A) = k1_tops_1(A,k1_pre_topc(A)))) # label(t47_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6678 $T # label(t16_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6679 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k2_tops_1(A,k1_tops_1(A,B)),k2_tops_1(A,B)))))) # label(t71_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6680 (all A (l1_pre_topc(A) -> v1_tops_1(k2_pre_topc(A),A))) # label(fc9_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6681 $T # label(t25_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6682 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(k3_subset_1(u1_struct_0(A),B),A) <-> v4_pre_topc(B,A)))))) # label(t29_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6683 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,k2_tops_1(A,B)) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(D,A) & r2_hidden(C,D) -> -r1_xboole_0(k3_subset_1(u1_struct_0(A),B),D) & -r1_xboole_0(B,D))))))))))) # label(t61_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6684 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_tops_1(B,A) -> k6_subset_1(u1_struct_0(A),k6_pre_topc(A,B),B) = k2_tops_1(A,k6_pre_topc(A,B)) & k2_tops_1(A,B) = k2_tops_1(A,k6_pre_topc(A,B))))))) # label(t104_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6685 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> v3_tops_1(k2_tops_1(A,B),A)))))) # label(t96_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6686 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(B,A))))) # label(rc1_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6687 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(A,k1_tops_1(A,B)) = k6_pre_topc(A,k1_tops_1(A,k6_pre_topc(A,k1_tops_1(A,B)))))))) # label(t58_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6688 $T # label(t83_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6689 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & v3_tops_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v1_tops_1(k3_subset_1(u1_struct_0(A),B),A))) # label(fc11_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6690 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) & v4_pre_topc(B,A) -> v4_pre_topc(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t35_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6691 (all A all B (v2_tops_1(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> v1_membered(k1_tops_1(A,B)) & v2_membered(k1_tops_1(A,B)) & v3_membered(k1_tops_1(A,B)) & v5_membered(k1_tops_1(A,B)) & v2_tops_1(k1_tops_1(A,B),A) & v4_membered(k1_tops_1(A,B)) & v1_xboole_0(k1_tops_1(A,B)))) # label(fc10_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6692 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(B,A) & v1_tops_1(C,A) & v3_pre_topc(C,A) -> v1_tops_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t82_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6693 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_xboole_0(B) -> v3_tops_1(B,A)))))) # label(cc3_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6694 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,k2_tops_1(A,B)) <-> v2_tops_1(B,A)))))) # label(t88_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6695 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> (v3_tops_1(B,A) <-> B = k2_tops_1(A,B))))))) # label(t94_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6696 $T # label(t13_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6697 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(k6_pre_topc(A,B),A) <-> v3_tops_1(B,A)))))) # label(d5_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6698 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),k2_tops_1(A,k4_subset_1(u1_struct_0(A),B,C)),k2_tops_1(A,k5_subset_1(u1_struct_0(A),B,C))),k5_subset_1(u1_struct_0(A),k2_tops_1(A,B),k2_tops_1(A,C))) = k4_subset_1(u1_struct_0(A),k2_tops_1(A,B),k2_tops_1(A,C)))))))) # label(t70_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6699 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(B,A) & r1_tarski(B,C) -> v1_tops_1(C,A)))))))) # label(t79_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6700 $T # label(t1_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6701 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> m1_subset_1(k1_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k1_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6702 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) -> k6_pre_topc(A,k5_subset_1(u1_struct_0(A),C,B)) = k6_pre_topc(A,C))))))))) # label(t81_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6703 (all A (l1_pre_topc(A) -> v1_xboole_0(k1_tops_1(A,k1_pre_topc(A))) & v3_membered(k1_tops_1(A,k1_pre_topc(A))) & v4_membered(k1_tops_1(A,k1_pre_topc(A))) & v5_membered(k1_tops_1(A,k1_pre_topc(A))) & v2_membered(k1_tops_1(A,k1_pre_topc(A))) & v1_membered(k1_tops_1(A,k1_pre_topc(A))))) # label(fc5_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6704 (all A all B (l1_pre_topc(A) & v4_pre_topc(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_pre_topc(A) -> v3_pre_topc(k3_subset_1(u1_struct_0(A),B),A))) # label(fc3_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6705 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_xboole_0(k1_tops_1(A,B),k2_tops_1(A,B)))))) # label(t73_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6706 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_xboole_0(B) -> v4_pre_topc(B,A) & v3_pre_topc(B,A)))))) # label(cc1_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6707 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(B,A) <-> k2_pre_topc(A) = k6_pre_topc(A,B)))))) # label(d3_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6708 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(A,B) = k6_pre_topc(A,k6_pre_topc(A,B)))))) # label(t26_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6709 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(B,A) -> v2_tops_1(B,A)))))) # label(cc4_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6710 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(B,A) -> v2_tops_1(B,A)))))) # label(t92_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6711 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> v3_tops_1(k2_tops_1(A,B),A)))))) # label(t95_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6712 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (k3_subset_1(u1_struct_0(A),B) = k3_subset_1(u1_struct_0(A),C) -> C = B))))))) # label(t21_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6713 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k2_tops_1(A,k5_subset_1(u1_struct_0(A),B,C)),k4_subset_1(u1_struct_0(A),k2_tops_1(A,B),k2_tops_1(A,C))))))))) # label(t66_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6714 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(k3_subset_1(u1_struct_0(A),B),A) <-> v2_tops_1(B,A)))))) # label(d4_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6715 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) <-> k2_tops_1(A,B) = k6_subset_1(u1_struct_0(A),k6_pre_topc(A,B),B)))))) # label(t76_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6716 $T # label(t6_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6717 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & v3_pre_topc(C,A) -> v3_pre_topc(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t38_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6718 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v1_membered(k1_pre_topc(A)) & v2_membered(k1_pre_topc(A)) & v4_membered(k1_pre_topc(A)) & v5_membered(k1_pre_topc(A)) & v3_membered(k1_pre_topc(A)) & v4_pre_topc(k1_pre_topc(A),A) & v1_xboole_0(k1_pre_topc(A)))) # label(fc1_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6719 (all A (l1_pre_topc(A) -> (exists B (v4_membered(B) & v5_membered(B) & v2_tops_1(B,A) & v3_membered(B) & v2_membered(B) & v1_membered(B) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc4_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6720 $T # label(t100_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6721 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> k6_pre_topc(A,B) = k6_pre_topc(A,k1_tops_1(A,k6_pre_topc(A,B)))))))) # label(t59_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6722 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,k6_pre_topc(A,B)) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(C,D) & r1_xboole_0(B,D) & v3_pre_topc(D,A))))))))))) # label(t39_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6723 $T # label(t11_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6724 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v5_tops_1(B,A) <-> k6_pre_topc(A,k1_tops_1(A,B)) = B))))) # label(d7_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6725 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k2_tops_1(A,k6_pre_topc(A,B)),k2_tops_1(A,B)))))) # label(t72_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6726 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(B,A) & v3_tops_1(C,A) -> v3_tops_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t90_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6727 (all A all B (v2_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> v3_pre_topc(k1_tops_1(A,B),A))) # label(fc6_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6728 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k2_tops_1(A,k4_subset_1(u1_struct_0(A),B,C)),k4_subset_1(u1_struct_0(A),k2_tops_1(A,B),k2_tops_1(A,C))))))))) # label(t67_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6729 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) & v4_pre_topc(B,A) -> v3_tops_1(B,A)))))) # label(t93_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6730 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v5_tops_1(B,A) -> k2_tops_1(A,B) = k2_tops_1(A,k1_tops_1(A,B))))))) # label(t102_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6731 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k6_subset_1(u1_struct_0(A),k6_pre_topc(A,B),k6_pre_topc(A,C)),k6_pre_topc(A,k6_subset_1(u1_struct_0(A),B,C))))))))) # label(t32_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6732 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_xboole_0(B,k3_subset_1(u1_struct_0(A),C)) <-> r1_tarski(B,C)))))))) # label(t20_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6733 $T # label(t5_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6734 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k4_subset_1(u1_struct_0(A),k1_tops_1(A,B),k1_tops_1(A,C)),k1_tops_1(A,k4_subset_1(u1_struct_0(A),B,C))))))))) # label(t49_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6735 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k2_tops_1(A,k2_tops_1(A,B)) = k2_tops_1(A,k2_tops_1(A,k2_tops_1(A,B))))))) # label(t75_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6736 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k2_tops_1(A,B),k6_pre_topc(A,B)))))) # label(t63_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6737 $T # label(t14_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6738 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k2_tops_1(A,k2_tops_1(A,B)),k2_tops_1(A,B)))))) # label(t68_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6739 $T # label(t23_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6740 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> r1_tarski(k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C)),k6_pre_topc(A,k5_subset_1(u1_struct_0(A),B,C)))))))))) # label(t40_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6741 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(k1_xboole_0 != C & v3_pre_topc(C,A) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & r1_xboole_0(B,D) & D != k1_xboole_0 & r1_tarski(D,C))))))) <-> v2_tops_1(B,A))))))) # label(t87_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6742 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) <-> v4_pre_topc(k3_subset_1(u1_struct_0(A),B),A)))))) # label(t30_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6743 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v2_membered(k1_pre_topc(A)) & v3_membered(k1_pre_topc(A)) & v5_membered(k1_pre_topc(A)) & v4_membered(k1_pre_topc(A)) & v1_membered(k1_pre_topc(A)) & v4_pre_topc(k1_pre_topc(A),A) & v3_pre_topc(k1_pre_topc(A),A) & v1_xboole_0(k1_pre_topc(A)))) # label(fc7_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6744 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> ((exists D (v3_pre_topc(D,A) & r1_tarski(D,C) & r2_hidden(B,D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))) <-> r2_hidden(B,k1_tops_1(A,C))))))) # label(t54_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6745 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k2_pre_topc(A) = k4_subset_1(u1_struct_0(A),B,k2_pre_topc(A)))))) # label(t2_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6746 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k1_tops_1(A,k5_subset_1(u1_struct_0(A),B,C)) = k5_subset_1(u1_struct_0(A),k1_tops_1(A,B),k1_tops_1(A,C)))))))) # label(t46_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6747 $T # label(t60_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6748 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> r1_tarski(k2_tops_1(A,B),B)))))) # label(t69_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6749 $T # label(t4_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6750 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_subset_1(u1_struct_0(A),B,k2_tops_1(A,B)) = k1_tops_1(A,B))))) # label(t74_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6751 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) & v4_pre_topc(C,A) -> k6_pre_topc(A,k5_subset_1(u1_struct_0(A),B,C)) = k5_subset_1(u1_struct_0(A),k6_pre_topc(A,B),k6_pre_topc(A,C))))))))) # label(t34_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6752 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) & r1_tarski(C,B) -> C = k1_xboole_0)))))))) # label(t86_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6753 $T # label(t42_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6754 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v6_tops_1(C,A) & v6_tops_1(B,A) -> v6_tops_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t109_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6755 (all A (l1_struct_0(A) -> k1_pre_topc(A) = k3_subset_1(u1_struct_0(A),k2_pre_topc(A)))) # label(t8_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6756 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v3_pre_topc(k2_pre_topc(A),A))) # label(t53_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6757 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) -> k1_xboole_0 = k1_tops_1(A,k2_tops_1(A,B))))))) # label(t110_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6758 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,B) & v4_pre_topc(B,A) -> r1_tarski(k6_pre_topc(A,C),B)))))))) # label(t31_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6759 $T # label(t99_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6760 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_xboole_0(B) -> v2_tops_1(B,A)))))) # label(cc2_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6761 $T # label(t18_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6762 $T # label(t28_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6763 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v3_pre_topc(k1_tops_1(A,B),A))))) # label(t51_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6764 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & v3_tops_1(B,A) -> v3_membered(B) & v5_membered(B) & v2_tops_1(B,A) & v3_tops_1(B,A) & v4_membered(B) & v2_membered(B) & v1_membered(B) & v4_pre_topc(B,A) & v3_pre_topc(B,A) & v1_xboole_0(B)))))) # label(cc6_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6765 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v5_tops_1(C,A) -> v4_pre_topc(C,A) & v4_tops_1(C,A)) & (v4_pre_topc(D,B) & v4_tops_1(D,B) -> v5_tops_1(D,B)))))))))) # label(t106_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6766 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) -> r1_tarski(k1_tops_1(A,B),k1_tops_1(A,C))))))))) # label(t48_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6767 $T # label(t9_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6768 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & v3_pre_topc(C,A) -> v3_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t37_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6769 $T # label(t78_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6770 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_tops_1(A,B) = k3_subset_1(u1_struct_0(A),k6_pre_topc(A,k3_subset_1(u1_struct_0(A),B))))))) # label(d1_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6771 $T # label(t17_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6772 $T # label(t89_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6773 $T # label(t10_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6774 (all A all B (v2_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(B,A) & l1_pre_topc(A) -> v2_tops_1(k2_tops_1(A,B),A) & v3_tops_1(k2_tops_1(A,B),A))) # label(fc13_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6775 (all A (l1_pre_topc(A) -> k6_pre_topc(A,k2_pre_topc(A)) = k2_pre_topc(A))) # label(t27_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6776 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(A,B) = k4_subset_1(u1_struct_0(A),B,k2_tops_1(A,B)))))) # label(t65_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6777 $T # label(t24_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6778 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(B,A) -> v1_tops_1(k3_subset_1(u1_struct_0(A),B),A)))))) # label(t91_tops_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6779 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (k2_pre_topc(A) = k1_relat_1(C) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> k6_pre_topc(A,k5_pre_topc(A,B,C,D)) = k5_pre_topc(A,B,C,k6_pre_topc(B,D)))) & v2_funct_1(C) & k2_pre_topc(B) = k2_relat_1(C) <-> v3_tops_2(C,A,B)))))))) # label(t73_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6780 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) & -v3_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> k1_relat_1(C) = k2_pre_topc(A) & r1_tarski(k2_relat_1(C),k2_pre_topc(B)))))))) # label(t51_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6781 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> v3_pre_topc(C,A))))))))) # label(d1_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6782 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k1_xboole_0 != B -> k5_setfam_1(A,k7_setfam_1(A,B)) = k3_subset_1(A,k6_setfam_1(A,B))))) # label(t12_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6783 $T # label(t69_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6784 $T # label(t30_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6785 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (exists D (v1_funct_1(D) & k1_relat_1(D) = C & k1_tops_2(A,B,C) = k2_relat_1(D) & (all E (r2_hidden(E,C) -> (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> (F = E -> k1_funct_1(D,E) = k5_subset_1(u1_struct_0(A),F,B)))))) & v1_relat_1(D))))))))) # label(t50_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6786 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) -> -(v1_tops_2(C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(v1_tops_2(D,A) & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (k2_pre_topc(B) = E -> k1_tops_2(A,E,D) = C))))))))))))) # label(t49_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6787 (all A (l1_struct_0(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_pre_topc(A,B) & B = k1_xboole_0))))) # label(t5_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6788 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v3_pre_topc(C,B) <-> (exists D (k3_xboole_0(D,k2_pre_topc(B)) = C & v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))))))))))) # label(t32_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6789 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> r1_tarski(k6_subset_1(u1_struct_0(A),k5_setfam_1(u1_struct_0(A),B),k5_setfam_1(u1_struct_0(A),C)),k5_setfam_1(u1_struct_0(A),k6_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C))))))))) # label(t6_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6790 $T # label(t8_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6791 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_finset_1(k7_setfam_1(u1_struct_0(A),B)) <-> v1_finset_1(B)))))) # label(t13_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6792 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(B,A) & v1_finset_1(B) -> v4_pre_topc(k5_setfam_1(u1_struct_0(A),B),A)))))) # label(t28_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6793 $T # label(t15_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6794 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (k2_relat_1(C) = k2_pre_topc(B) & v2_funct_1(C) & v5_pre_topc(k2_tops_2(A,B,C),B,A) & v5_pre_topc(C,A,B) & k2_pre_topc(A) = k1_relat_1(C) <-> v3_tops_2(C,A,B)))))))) # label(d5_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6795 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(B,A) -> v1_tops_2(k6_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A)))))))) # label(t22_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6796 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v3_tops_2(C,A,B) -> v3_tops_2(k2_tops_2(A,B,C),B,A)))))))) # label(t70_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6797 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_pre_topc(C,A) -> (v1_tops_2(B,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) -> (D = B -> v1_tops_2(D,C))))))))))) # label(t35_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6798 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,C) & v1_tops_2(C,A) -> v1_tops_2(B,A)))))))) # label(t18_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6799 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(k7_setfam_1(u1_struct_0(A),B),A) <-> v2_tops_2(B,A)))))) # label(t16_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6800 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> v4_pre_topc(C,A)))) <-> v2_tops_2(B,A)))))) # label(d2_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6801 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(B,A) -> v4_pre_topc(k6_setfam_1(u1_struct_0(A),B),A)))))) # label(t29_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6802 $T # label(t4_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6803 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) -> m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))))))) # label(t31_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6804 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r2_hidden(B,D) -> r2_hidden(k5_subset_1(u1_struct_0(A),B,C),k1_tops_2(A,C,D))))))))))) # label(t41_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6805 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_pre_topc(C,A) -> (v3_pre_topc(B,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) -> (D = B -> v3_pre_topc(D,C))))))))))) # label(t33_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6806 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(C,A) -> v1_tops_2(k1_tops_2(A,B,C),k3_pre_topc(A,B))))))))) # label(t47_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6807 (all A (l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v3_tops_2(C,A,B) <-> k2_relat_1(C) = k2_pre_topc(B) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(k4_pre_topc(A,B,C,D),B) <-> v4_pre_topc(D,A)))) & v2_funct_1(C) & k1_relat_1(C) = k2_pre_topc(A)))))))) # label(t72_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6808 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(B,A) -> v1_tops_2(k5_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A)))))))) # label(t21_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6809 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,k5_setfam_1(u1_struct_0(A),C)) -> B = k5_setfam_1(u1_struct_0(k3_pre_topc(A,B)),k1_tops_2(A,B,C))))))))) # label(t43_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6810 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(C,A) -> v2_tops_2(k1_tops_2(A,B,C),k3_pre_topc(A,B))))))))) # label(t48_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6811 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_pre_topc(C,A) -> (v4_pre_topc(B,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) -> (B = D -> v4_pre_topc(D,C))))))))))) # label(t34_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6812 $T # label(t61_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6813 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(B,A) -> v2_tops_2(k5_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A)))))))) # label(t24_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6814 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v2_funct_1(C) & k2_relat_1(C) = k2_pre_topc(B) -> k4_pre_topc(A,B,C,D) = k5_pre_topc(B,A,k2_tops_2(A,B,C),D)))))))))) # label(t67_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6815 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> -(k1_xboole_0 = k7_setfam_1(A,B) & B != k1_xboole_0) & -(B = k1_xboole_0 & k7_setfam_1(A,B) != k1_xboole_0))) # label(t10_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6816 (all A (l1_struct_0(A) -> (all B (-v3_struct_0(B) & l1_struct_0(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> k5_pre_topc(A,B,C,k2_pre_topc(B)) = k2_pre_topc(A))))))) # label(t52_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6817 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> r1_tarski(B,k1_zfmisc_1(k2_pre_topc(A))))))) # label(t1_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6818 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (-v3_struct_0(C) & l1_pre_topc(C) -> (all D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(C)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(C)) & v1_funct_1(D) -> (all E (m2_relset_1(E,u1_struct_0(C),u1_struct_0(B)) & v1_funct_2(E,u1_struct_0(C),u1_struct_0(B)) & v1_funct_1(E) -> (v5_pre_topc(D,A,C) & v5_pre_topc(E,C,B) -> v5_pre_topc(k7_funct_2(u1_struct_0(A),u1_struct_0(C),u1_struct_0(B),D,E),A,B)))))))))))) # label(t58_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6819 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k1_xboole_0 != B -> k3_subset_1(A,k5_setfam_1(A,B)) = k6_setfam_1(A,k7_setfam_1(A,B))))) # label(t11_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6820 (all A (l1_struct_0(A) -> (all B (-v3_struct_0(B) & l1_struct_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) -> m1_subset_1(k9_relat_1(k3_funct_3(C),D),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))))))))) # label(t54_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6821 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & l1_struct_0(C) -> (all D (m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) -> (all E (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_funct_1(E) -> (k2_pre_topc(B) = k1_relat_1(E) & k2_relat_1(E) = k2_pre_topc(C) & v2_funct_1(E) & v2_funct_1(D) & k2_pre_topc(B) = k2_relat_1(D) & k1_relat_1(D) = k2_pre_topc(A) -> k7_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(A),k2_tops_2(B,C,E),k2_tops_2(A,B,D)) = k2_tops_2(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E))))))))))))) # label(t66_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6822 (all A (l1_struct_0(A) -> (all B (-v3_struct_0(B) & l1_struct_0(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v2_funct_1(C) & k2_pre_topc(B) = k2_relat_1(C) -> k2_tops_2(B,A,k2_tops_2(A,B,C)) = C))))))) # label(t64_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6823 (all A (l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v3_pre_topc(D,B) -> v3_pre_topc(k5_pre_topc(A,B,C,D),A)))) <-> v5_pre_topc(C,A,B)))))))) # label(t55_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6824 (all A (l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) -> (v1_tops_2(D,B) & v5_pre_topc(C,A,B) -> (all E (m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (k9_relat_1(k3_funct_3(C),D) = E -> v1_tops_2(E,A))))))))))))) # label(t59_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6825 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,k5_setfam_1(u1_struct_0(A),D)) -> r1_tarski(k5_subset_1(u1_struct_0(A),B,C),k5_setfam_1(u1_struct_0(k3_pre_topc(A,C)),k1_tops_2(A,C,D)))))))))))) # label(t42_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6826 $T # label(t37_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6827 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v5_pre_topc(C,A,B) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> r1_tarski(k6_pre_topc(A,k5_pre_topc(A,B,C,D)),k5_pre_topc(A,B,C,k6_pre_topc(B,D)))))))))))) # label(t56_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6828 $T # label(t7_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6829 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(B,A) & v1_tops_2(C,A) -> v1_tops_2(k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A)))))))) # label(t20_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6830 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(B,A) & v1_finset_1(B) -> v3_pre_topc(k6_setfam_1(u1_struct_0(A),B),A)))))) # label(t27_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6831 $T # label(t14_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6832 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v2_funct_1(C) & k2_relat_1(C) = k2_pre_topc(B) -> k2_funct_1(C) = k2_tops_2(A,B,C)))))))) # label(d4_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.21 6833 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k4_pre_topc(A,B,C,k6_pre_topc(A,D)),k6_pre_topc(B,k4_pre_topc(A,B,C,D))))) <-> v5_pre_topc(C,A,B)))))))) # label(t57_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6834 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(B,A) -> v3_pre_topc(k5_setfam_1(u1_struct_0(A),B),A)))))) # label(t26_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6835 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(B,A) & v2_tops_2(C,A) -> v2_tops_2(k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A)))))))) # label(t23_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6836 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (k2_relat_1(C) = k2_pre_topc(B) & v2_funct_1(C) -> k4_pre_topc(B,A,k2_tops_2(A,B,C),D) = k5_pre_topc(A,B,C,D)))))))))) # label(t68_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6837 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) -> (v5_pre_topc(C,A,B) & v2_tops_2(D,B) -> (all E (m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (E = k9_relat_1(k3_funct_3(C),D) -> v2_tops_2(E,A))))))))))))) # label(t60_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6838 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(C,D) -> r1_tarski(k1_tops_2(A,B,C),k1_tops_2(A,B,D))))))))))) # label(t40_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6839 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,C) & v2_tops_2(C,A) -> v2_tops_2(B,A)))))))) # label(t19_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6840 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (r1_tarski(C,B) -> m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))))))) # label(t3_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6841 $T # label(t2_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6842 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v2_funct_1(C) & k2_relat_1(C) = k2_pre_topc(B) -> v2_funct_1(k2_tops_2(A,B,C))))))))) # label(t63_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6843 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> r1_tarski(k5_setfam_1(u1_struct_0(k3_pre_topc(A,B)),k1_tops_2(A,B,C)),k5_setfam_1(u1_struct_0(A),C)))))))) # label(t44_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6844 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,k5_setfam_1(u1_struct_0(k3_pre_topc(A,B)),k1_tops_2(A,B,C))) -> r1_tarski(B,k5_setfam_1(u1_struct_0(A),C))))))))) # label(t45_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6845 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & l1_pre_topc(C) -> (all D (m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) -> (all E (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)) -> (v3_tops_2(D,A,B) & v3_tops_2(E,B,C) -> v3_tops_2(k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),A,C)))))))))))) # label(t71_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6846 (all A all B all C (l1_pre_topc(A) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_subset_1(k1_tops_2(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,B))))))) # label(dt_k1_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6847 $T # label(t9_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6848 (all A all B all C (l1_struct_0(B) & v1_funct_1(C) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & l1_struct_0(A) -> v1_funct_1(k2_tops_2(A,B,C)) & v1_funct_2(k2_tops_2(A,B,C),u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(k2_tops_2(A,B,C),u1_struct_0(B),u1_struct_0(A)))) # label(dt_k2_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6849 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> m1_subset_1(k5_subset_1(u1_struct_0(A),B,C),k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,C)))))))))) # label(t38_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6850 $T # label(t53_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6851 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,B))))) -> (k1_tops_2(A,B,C) = D <-> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,B)))) -> (r2_hidden(E,D) <-> (exists F (k5_subset_1(u1_struct_0(A),F,B) = E & r2_hidden(F,C) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))))))))))))))))) # label(d3_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6852 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v2_funct_1(C) & k2_relat_1(C) = k2_pre_topc(B) -> k5_relat_1(C,k2_tops_2(A,B,C)) = k6_relat_1(k1_relat_1(C)) & k5_relat_1(k2_tops_2(A,B,C),C) = k6_relat_1(k2_relat_1(C))))))))) # label(t65_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6853 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_pre_topc(C,A) -> (v2_tops_2(B,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(C)))) -> (D = B -> v2_tops_2(D,C))))))))))) # label(t36_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6854 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tops_2(B,A) -> v2_tops_2(k6_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C),A)))))))) # label(t25_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6855 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v3_tops_2(C,A,B) <-> k1_relat_1(C) = k2_pre_topc(A) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(B,k4_pre_topc(A,B,C,D)) = k4_pre_topc(A,B,C,k6_pre_topc(A,D)))) & v2_funct_1(C) & k2_relat_1(C) = k2_pre_topc(B)))))))) # label(t74_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6856 (all A (l1_struct_0(A) -> (all B (-v3_struct_0(B) & l1_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v2_funct_1(C) & k2_relat_1(C) = k2_pre_topc(B) -> k1_relat_1(k2_tops_2(A,B,C)) = k2_pre_topc(B) & k2_pre_topc(A) = k2_relat_1(k2_tops_2(A,B,C))))))))) # label(t62_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6857 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_finset_1(C) -> v1_finset_1(k1_tops_2(A,B,C))))))))) # label(t46_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6858 $T # label(t39_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6859 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tops_2(B,A) <-> v2_tops_2(k7_setfam_1(u1_struct_0(A),B),A)))))) # label(t17_tops_2) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6860 $T # label(t32_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6861 (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]. 26.82/26.22 6862 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_rlvect_1(A),B,C) = k2_rlvect_1(A,B,C))))))) # label(t5_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6863 (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]. 26.82/26.22 6864 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k9_rlvect_1(A,k7_rlvect_1(A,k1_rlvect_1(A),B)) = B & k9_rlvect_1(A,k7_rlvect_1(A,B,k1_rlvect_1(A))) = B)))) # label(t75_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6865 (all A (v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_rlvect_1(A) = k4_rlvect_1(A,B,B) -> k1_rlvect_1(A) = B))))) # label(t34_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6866 (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]. 26.82/26.22 6867 (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 (m1_subset_1(B,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]. 26.82/26.22 6868 (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)) -> k6_rlvect_1(A,k1_rlvect_1(A),B) = k5_rlvect_1(A,B))))) # label(t27_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6869 (all A (v3_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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]. 26.82/26.22 6870 (exists A (l2_rlvect_1(A) & -v3_struct_0(A))) # label(rc3_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6871 $T # label(t88_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6872 (all A all B all C all D (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_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_1(C) & m1_subset_1(B,A) -> (all E all F all G all H (g2_rlvect_1(E,F,G,H) = g2_rlvect_1(A,B,C,D) -> E = A & H = D & G = C & B = F)))) # label(free_g2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6873 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> 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]. 26.82/26.22 6874 (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)) -> 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]. 26.82/26.22 6875 (all A (v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> 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]. 26.82/26.22 6876 (all A all B all C (l1_rlvect_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k2_rlvect_1(A,B,C),u1_struct_0(A)))) # label(dt_k2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6877 (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]. 26.82/26.22 6878 (exists A (v3_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v1_rlvect_1(A) & -v3_struct_0(A) & l1_rlvect_1(A))) # label(rc5_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6879 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_rlvect_1(A,B,k5_rlvect_1(A,C)) = k6_rlvect_1(A,B,C))))))) # label(d11_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6880 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v6_rlvect_1(C) & v7_rlvect_1(C) & l2_rlvect_1(C) & v5_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k6_rlvect_1(C,k3_rlvect_1(C,D,A),k3_rlvect_1(C,D,B)) = k3_rlvect_1(C,D,k5_real_1(A,B)))))))))) # label(t49_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6881 (all A (v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (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__1) = C & D = k1_funct_1(B,np__2) & 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]. 26.82/26.22 6882 (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)) -> 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]. 26.82/26.22 6883 (all A (v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(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]. 26.82/26.22 6884 (all A (l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_rlvect_1(A) = k6_rlvect_1(A,B,C) -> B = C))))))) # label(t35_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6885 (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) -> k7_rlvect_1(A,B,C) = k10_finseq_1(B,C))) # label(redefinition_k7_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6886 (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,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]. 26.82/26.22 6887 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (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]. 26.82/26.22 6888 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v7_rlvect_1(C) & l2_rlvect_1(C) & v6_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (k3_rlvect_1(C,D,A) = k3_rlvect_1(C,D,B) -> A = B | D = k1_rlvect_1(C)))))))))) # label(t51_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6889 (all A (l1_rlvect_1(A) -> l2_struct_0(A))) # label(dt_l1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6890 (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)) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & k2_rlvect_1(A,B,D) = C)))))))) # label(t20_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6891 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (np__0 = A | C = k1_rlvect_1(B) -> k1_rlvect_1(B) = k3_rlvect_1(B,C,A)))))))) # label(t23_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6892 (all A all B (-v3_struct_0(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k5_rlvect_1(A,B),u1_struct_0(A)))) # label(dt_k5_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6893 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (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]. 26.82/26.22 6894 $T # label(t9_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6895 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)) = k9_rlvect_1(A,k8_rlvect_1(A,D,B,C)))))))))) # label(t89_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6896 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(B,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) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> 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]. 26.82/26.22 6897 (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)) -> 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]. 26.82/26.22 6898 $T # label(t12_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6899 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B = k5_rlvect_1(A,B) -> B = k1_rlvect_1(A)))))) # label(t33_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6900 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (k3_rlvect_1(B,D,A) = k3_rlvect_1(B,C,A) -> C = D | np__0 = A))))))))) # label(t50_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6901 (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)) -> k5_rlvect_1(A,k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B))) = k5_rlvect_1(A,B))))) # label(t69_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6902 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)) = k2_rlvect_1(A,k2_rlvect_1(A,k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),B)),k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),C))),k9_rlvect_1(A,k12_finseq_1(u1_struct_0(A),D))))))))))) # label(t81_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6903 (all A (l2_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> k8_funct_2(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u2_rlvect_1(A),k1_domain_1(k1_numbers,u1_struct_0(A),C,B)) = k3_rlvect_1(A,B,C))))))) # label(d4_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6904 (all A (-v3_struct_0(A) & v3_rlvect_1(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)) -> (v2_funct_1(B) & v2_funct_1(C) & 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]. 26.82/26.22 6905 $T # label(t14_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6906 (all A (m1_subset_1(A,k1_numbers) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k6_rlvect_1(B,k3_rlvect_1(B,C,A),k3_rlvect_1(B,D,A)) = k3_rlvect_1(B,k6_rlvect_1(B,C,D),A))))))))) # label(t48_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6907 $T # label(t6_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6908 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k6_rlvect_1(A,B,C) = k6_rlvect_1(A,B,D) -> C = D))))))))) # label(t37_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6909 (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) -> (D = k3_finseq_1(B) & r2_hidden(C,k2_finseq_1(D)) -> m1_subset_1(k1_funct_1(B,C),u1_struct_0(A))))))))))) # label(t54_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6910 (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)) -> k3_rlvect_1(B,C,k1_real_1(A)) = k3_rlvect_1(B,k5_rlvect_1(B,C),A))))))) # label(t38_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6911 $T # label(t4_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6912 $T # label(t11_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6913 (all A (v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_rlvect_1(A,B,k1_rlvect_1(A)) = B)))) # label(t26_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6914 $T # label(t53_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6915 (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,k5_rlvect_1(A,B)) = B)))) # label(t30_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6916 (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]. 26.82/26.22 6917 (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_rlvect_1(A) & v3_rlvect_1(A) -> k4_rlvect_1(A,B,C) = k2_rlvect_1(A,B,C))) # label(redefinition_k4_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6918 (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)) -> 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]. 26.82/26.22 6919 (all A (l2_rlvect_1(A) -> (v2_rlvect_1(A) -> A = g2_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u2_rlvect_1(A))))) # label(abstractness_v2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6920 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_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)) -> k3_rlvect_1(A,k9_rlvect_1(A,k8_rlvect_1(A,C,D,E)),B) = 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)))))))))))) # label(t67_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6921 (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)) -> B = k9_rlvect_1(A,k8_rlvect_1(A,B,k1_rlvect_1(A),k1_rlvect_1(A))) & B = k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),B,k1_rlvect_1(A))) & B = k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),k1_rlvect_1(A),B)))))) # label(t91_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6922 (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)) -> k6_rlvect_1(A,B,k6_rlvect_1(A,C,D)) = k4_rlvect_1(A,k6_rlvect_1(A,B,C),D))))))))) # label(t43_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6923 (all A (l2_struct_0(A) -> u2_struct_0(A) = k1_rlvect_1(A))) # label(d2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6924 (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]. 26.82/26.22 6925 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_rlvect_1(A,B,np__3) = k9_rlvect_1(A,k8_rlvect_1(A,B,B,B)))))) # label(t93_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6926 (all A (m1_subset_1(A,k1_numbers) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> -(C != k1_rlvect_1(B) & np__0 != A & k1_rlvect_1(B) = k3_rlvect_1(B,C,A)))))))) # label(t24_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6927 (exists A (l1_rlvect_1(A) & -v3_struct_0(A) & v1_rlvect_1(A))) # label(rc4_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6928 (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,k2_rlvect_1(A,C,B)) = k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,C))))))))) # label(t78_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6929 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) -> (all B (m1_subset_1(B,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]. 26.82/26.22 6930 $T # label(t17_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6931 (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)) -> 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)) = k2_rlvect_1(A,B,C))))))) # label(d3_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6932 (all A all B all C (l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & -v3_struct_0(A) -> m2_finseq_1(k7_rlvect_1(A,B,C),u1_struct_0(A)))) # label(dt_k7_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6933 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k4_rlvect_1(A,B,C) = k4_rlvect_1(A,C,B))) # label(commutativity_k4_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6934 (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)) -> 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]. 26.82/26.22 6935 (all A (-v3_struct_0(A) & v4_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)) -> 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]. 26.82/26.22 6936 (all A (l1_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)) & v1_funct_1(u1_rlvect_1(A)))) # label(dt_u1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6937 (all A all B all C (l2_rlvect_1(A) & m1_subset_1(C,k1_numbers) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k3_rlvect_1(A,B,C),u1_struct_0(A)))) # label(dt_k3_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6938 (exists A (l1_rlvect_1(A) & v1_rlvect_1(A))) # label(rc1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6939 (all A (-v3_struct_0(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)) -> (np__1 = k3_finseq_1(B) -> k1_funct_1(B,np__1) = k9_rlvect_1(A,B)))))) # label(t95_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6940 (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]. 26.82/26.22 6941 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_rlvect_1(A,B,k1_rlvect_1(A)) = B & B = k2_rlvect_1(A,k1_rlvect_1(A),B))))) # label(t10_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6942 $T # label(t1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6943 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> k9_rlvect_1(A,k7_rlvect_1(A,k1_rlvect_1(A),k1_rlvect_1(A))) = k1_rlvect_1(A))) # label(t74_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6944 (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)) -> k9_rlvect_1(A,k8_rlvect_1(A,B,C,D)) = k2_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,B,C)),D))))))))) # label(t82_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6945 (exists A l2_rlvect_1(A)) # label(existence_l2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6946 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k9_rlvect_1(A,k7_rlvect_1(A,k5_rlvect_1(A,B),B)) = k1_rlvect_1(A) & k9_rlvect_1(A,k7_rlvect_1(A,B,k5_rlvect_1(A,B))) = k1_rlvect_1(A))))) # label(t76_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6947 (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]. 26.82/26.22 6948 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k9_rlvect_1(A,k7_rlvect_1(A,B,C)) = k2_rlvect_1(A,B,C))))))) # label(t62_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6949 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_rlvect_1(A,B,C) = k9_rlvect_1(A,k8_rlvect_1(A,B,C,k1_rlvect_1(A))) & k9_rlvect_1(A,k8_rlvect_1(A,B,k1_rlvect_1(A),C)) = k2_rlvect_1(A,B,C) & k9_rlvect_1(A,k8_rlvect_1(A,k1_rlvect_1(A),B,C)) = k2_rlvect_1(A,B,C))))))) # label(t92_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6950 (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)) -> (exists D (k6_rlvect_1(A,C,D) = B & m1_subset_1(D,u1_struct_0(A)))))))))) # label(t36_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6951 (exists A (v2_rlvect_1(A) & l2_rlvect_1(A))) # label(rc2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6952 (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]. 26.82/26.22 6953 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r2_hidden(D,k4_finseq_1(B)) & k1_funct_1(C,D) = E -> k5_rlvect_1(A,E) = k1_funct_1(B,D)))))) & k3_finseq_1(B) = k3_finseq_1(C) -> k5_rlvect_1(A,k9_rlvect_1(A,C)) = k9_rlvect_1(A,B)))))))) # label(t57_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6954 (all A (v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_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]. 26.82/26.22 6955 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (np__3 = k3_finseq_1(B) & D = k1_funct_1(B,np__2) & E = k1_funct_1(B,np__3) & C = k1_funct_1(B,np__1) -> 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]. 26.82/26.22 6956 (exists A l1_rlvect_1(A)) # label(existence_l1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6957 $T # label(t8_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6958 (all A all B all C all D (m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_struct_0(A) & -v3_struct_0(A) -> m2_finseq_1(k8_rlvect_1(A,B,C,D),u1_struct_0(A)))) # label(dt_k8_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.22 6959 (all A (m1_subset_1(A,k1_numbers) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m2_finseq_1(C,u1_struct_0(B)) -> (all D (m2_finseq_1(D,u1_struct_0(B)) -> (k3_finseq_1(D) = k3_finseq_1(C) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (r2_hidden(E,k4_finseq_1(C)) & k1_funct_1(D,E) = F -> k1_funct_1(C,E) = k3_rlvect_1(B,F,A)))))) -> 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]. 26.82/26.23 6960 (all A (l2_rlvect_1(A) -> l1_rlvect_1(A))) # label(dt_l2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6961 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> 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]. 26.82/26.23 6962 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (v6_rlvect_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & k1_rlvect_1(A) = k2_rlvect_1(A,B,C)))))))) # label(d8_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6963 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_rlvect_1(A,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,k7_rlvect_1(A,B,C)))))))) # label(t73_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6964 $T # label(t15_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6965 (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,C) = k5_rlvect_1(A,B) -> C = B))))))) # label(t31_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6966 (all A all B all C (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(C,A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all D all E all F (g1_rlvect_1(D,E,F) = g1_rlvect_1(A,B,C) -> A = D & E = B & C = F)))) # label(free_g1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6967 (all A all B all C all D (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) & m1_subset_1(B,A) -> v2_rlvect_1(g2_rlvect_1(A,B,C,D)) & l2_rlvect_1(g2_rlvect_1(A,B,C,D)))) # label(dt_g2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6968 (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)) -> (B = k2_rlvect_1(A,C,B) | k2_rlvect_1(A,B,C) = B -> k1_rlvect_1(A) = C))))))) # label(t22_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6969 (all A (v5_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 (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]. 26.82/26.23 6970 (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,k2_rlvect_1(A,B,C)) = k2_rlvect_1(A,k5_rlvect_1(A,C),k5_rlvect_1(A,B)))))))) # label(t45_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6971 (all A (-v3_struct_0(A) & l2_rlvect_1(A) -> ((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,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)))))))) & (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k3_rlvect_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B)))))))) <-> v7_rlvect_1(A)))) # label(d9_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6972 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (D = k1_funct_1(B,k3_finseq_1(B)) & C = k7_relat_1(B,k4_finseq_1(C)) & k3_finseq_1(B) = k1_nat_1(k3_finseq_1(C),np__1) -> 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]. 26.82/26.23 6973 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_rlvect_1(A,B,B) = k1_rlvect_1(A))))) # label(t28_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6974 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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]. 26.82/26.23 6975 $T # label(t13_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6976 (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)) -> 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]. 26.82/26.23 6977 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> ((exists D (v1_funct_1(D) & v1_funct_2(D,k5_numbers,u1_struct_0(A)) & k8_funct_2(k5_numbers,u1_struct_0(A),D,k3_finseq_1(B)) = C & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> (F = k1_funct_1(B,k1_nat_1(E,np__1)) -> k8_funct_2(k5_numbers,u1_struct_0(A),D,k1_nat_1(E,np__1)) = k2_rlvect_1(A,k8_funct_2(k5_numbers,u1_struct_0(A),D,E),F) | r1_xreal_0(k3_finseq_1(B),E)))))) & k1_rlvect_1(A) = k8_funct_2(k5_numbers,u1_struct_0(A),D,np__0) & m2_relset_1(D,k5_numbers,u1_struct_0(A)))) <-> C = k9_rlvect_1(A,B)))))))) # label(d12_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6978 $T # label(t65_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6979 (all A all B all C all D (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) -> k8_rlvect_1(A,B,C,D) = k11_finseq_1(B,C,D))) # label(redefinition_k8_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6980 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_rlvect_1(A,B) = k3_rlvect_1(A,B,k1_real_1(np__1)))))) # label(t29_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 26.82/26.23 6981 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> 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]. 26.82/26.23 6982 (all A (m1_subset_1(A,k1_numbers) -> (all 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) & -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]. 26.82/26.23 6983 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(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]. 26.82/26.23 6984 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)))))))) <-> v4_rlvect_1(A)))) # label(d6_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 6985 (all A all B all C (l1_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k6_rlvect_1(A,B,C),u1_struct_0(A)))) # label(dt_k6_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 6986 $T # label(t52_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 6987 (all A (-v3_struct_0(A) & l2_rlvect_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & k1_rlvect_1(A) = k2_rlvect_1(A,B,C))))) & (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k3_rlvect_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k3_rlvect_1(A,C,B),k3_rlvect_1(A,D,B)))))))) & (all B (m1_subset_1(B,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)) -> 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,u1_struct_0(A)) -> k2_rlvect_1(A,B,k1_rlvect_1(A)) = B)) & (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)))))))) & (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_rlvect_1(A,B,C) = k2_rlvect_1(A,C,B))))) -> l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A)))) # label(t7_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 6988 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v6_rlvect_1(A) & v5_rlvect_1(A) & v4_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]. 188.23/187.67 6989 $T # label(t2_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 6990 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_rlvect_1(A,k9_rlvect_1(A,k7_rlvect_1(A,B,D)),C) = k9_rlvect_1(A,k8_rlvect_1(A,C,B,D)))))))))) # label(t83_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 6991 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (v5_rlvect_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_rlvect_1(A,B,k1_rlvect_1(A)) = B))))) # label(d7_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 6992 (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)) -> k6_rlvect_1(A,k6_rlvect_1(A,k5_rlvect_1(A,B),C),D) = k5_rlvect_1(A,k9_rlvect_1(A,k8_rlvect_1(A,B,C,D))))))))))) # label(t71_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 6993 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_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]. 188.23/187.67 6994 (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)) -> 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]. 188.23/187.67 6995 (exists A (l2_rlvect_1(A) & v2_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A))) # label(rc6_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 6996 $T # label(t18_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 6997 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(C,A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> v1_rlvect_1(g1_rlvect_1(A,B,C)) & l1_rlvect_1(g1_rlvect_1(A,B,C)))) # label(dt_g1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 6998 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k6_rlvect_1(A,B,k2_rlvect_1(A,C,D)) = k6_rlvect_1(A,k6_rlvect_1(A,B,D),C))))))))) # label(t41_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 6999 (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)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (k2_rlvect_1(A,D,B) = k2_rlvect_1(A,E,B) | k2_rlvect_1(A,B,D) = k2_rlvect_1(A,B,E) -> E = D))))))))))) # label(t21_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7000 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (k3_finseq_1(B) = np__0 -> k1_rlvect_1(A) = k9_rlvect_1(A,B)))))) # label(t94_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7001 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_rlvect_1(A,B,C) = k2_rlvect_1(A,C,B))))) <-> v3_rlvect_1(A)))) # label(d5_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7002 $T # label(t45_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7003 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlsub_1(D,A) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (E = B -> k3_rlvect_1(D,E,C) = k3_rlvect_1(A,B,C)))))))))))) # label(t22_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7004 (all A (v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (all D (m2_rlsub_1(D,A,C) -> (r2_hidden(B,D) <-> D = k3_rlsub_1(A,B,C)))))))))) # label(t94_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7005 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (m2_rlsub_1(C,A,B) <-> (exists D (k3_rlsub_1(A,D,B) = C & m1_subset_1(D,u1_struct_0(A))))))))))) # label(d6_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7006 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(A) = B -> v1_rlsub_1(B,A)))))) # label(t8_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7007 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (r1_rlvect_1(C,B) -> r1_rlvect_1(C,k5_rlvect_1(A,B))))))))) # label(t30_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7008 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> l2_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B))))) # label(dt_m1_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7009 $T # label(t15_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7010 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) -> m1_rlsub_1(k1_rlsub_1(B),C))))))) # label(t52_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7011 $T # label(t47_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7012 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> m1_rlsub_1(k1_rlsub_1(A),A) & v2_rlvect_1(k1_rlsub_1(A)))) # label(dt_k1_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7013 (all A (v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> k3_rlsub_1(A,B,C) = a_3_1_rlsub_1(A,B,C))))))) # label(d5_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7014 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> ((exists E (r2_hidden(C,E) & r2_hidden(B,E) & m2_rlsub_1(E,A,D))) <-> r1_rlvect_1(D,k6_rlvect_1(A,B,C))))))))))) # label(t97_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7015 (all A (v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (r1_rlvect_1(C,B) <-> k3_rlsub_1(A,B,C) = k3_rlsub_1(A,k5_rlvect_1(A,B),C)))))))) # label(t71_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7016 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(B,A) & v1_rlsub_1(C,A) -> v1_rlsub_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t10_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7017 (all A all B all C (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_rlsub_1(C,A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> m1_subset_1(k3_rlsub_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k3_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7018 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B all C (m1_rlsub_1(C,A) -> (r1_rlvect_1(C,B) -> r1_rlvect_1(A,B)))))) # label(t17_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7019 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> r2_hidden(k5_rlvect_1(A,C),B))))))))) # label(t5_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7020 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r1_rlvect_1(D,B) <-> k3_rlsub_1(A,C,D) = k3_rlsub_1(A,k4_rlvect_1(A,C,B),D)))))))))) # label(t68_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7021 $T # label(t57_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7022 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r2_hidden(B,k3_rlsub_1(A,C,D)) <-> (exists E (k4_rlvect_1(A,C,E) = B & r1_rlvect_1(D,E) & m1_subset_1(E,u1_struct_0(A))))))))))))) # label(t79_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7023 $T # label(t53_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7024 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) & v2_rlvect_1(B) -> (all C (v2_rlvect_1(C) & m1_rlsub_1(C,A) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_rlvect_1(B,D) <-> r1_rlvect_1(C,D)))) -> B = C))))))) # label(t39_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7025 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (exists B (m1_rlsub_1(B,A) & -v3_struct_0(B) & v2_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B))))) # label(rc1_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7026 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (all E (m2_rlsub_1(E,A,D) -> -((all F (m1_subset_1(F,u1_struct_0(A)) -> -(k6_rlvect_1(A,B,F) = C & r1_rlvect_1(D,F)))) & r2_hidden(C,E) & r2_hidden(B,E)))))))))))) # label(t96_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7027 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlsub_1(D,A) -> (u1_struct_0(D) = k3_rlsub_1(A,k3_rlvect_1(A,B,C),D) -> C = np__0 | r1_rlvect_1(D,B)))))))))) # label(t66_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7028 $T # label(t3_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7029 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (m2_rlsub_1(B,A,k2_rlsub_1(A)) -> u1_struct_0(A) = B))))) # label(t92_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7030 (all A (v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> k1_rlvect_1(B) = k1_rlvect_1(A))))) # label(t19_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7031 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(k1_xboole_0 != B & v1_rlsub_1(B,A) & (all C (v2_rlvect_1(C) & m1_rlsub_1(C,A) -> B != u1_struct_0(C)))))))) # label(t43_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7032 $T # label(t56_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7033 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (k3_rlsub_1(A,C,D) = k3_rlsub_1(A,k6_rlvect_1(A,C,B),D) <-> r1_rlvect_1(D,B)))))))))) # label(t69_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7034 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) & v2_rlvect_1(B) -> (k1_rlsub_1(A) = B <-> k1_struct_0(A,k1_rlvect_1(A)) = u1_struct_0(B)))))) # label(d3_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7035 (all A (v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (r2_hidden(k1_rlvect_1(A),k3_rlsub_1(A,B,C)) <-> r1_rlvect_1(C,B)))))))) # label(t58_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7036 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(m2_rlsub_1(B,A,k1_rlsub_1(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_struct_0(A,C) != B))))))) # label(t89_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7037 (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) & v2_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) & v2_rlvect_1(B) -> (u1_struct_0(B) = u1_struct_0(A) -> A = B))))) # label(t40_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7038 $T # label(t2_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7039 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(B,A) -> r2_hidden(k1_rlvect_1(A),B) | k1_xboole_0 = B))))) # label(t4_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7040 $T # label(t12_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7041 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (B = D -> k5_rlvect_1(A,B) = k5_rlvect_1(C,D)))))))))) # label(t23_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7042 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> k1_rlsub_1(A) = k1_rlsub_1(B))))) # label(t48_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7043 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> -((all E (m1_subset_1(E,u1_struct_0(A)) -> -(r1_rlvect_1(D,E) & k6_rlvect_1(A,B,E) = C))) & k3_rlsub_1(A,B,D) = k3_rlsub_1(A,C,D)))))))))) # label(t83_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7044 (all A (v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> m1_rlsub_1(k1_rlsub_1(B),A))))) # label(t50_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7045 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> m1_rlsub_1(k2_rlsub_1(A),A) & v2_rlvect_1(k2_rlsub_1(A)))) # label(dt_k2_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7046 (all A (-v3_struct_0(A) & v2_rlvect_1(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) -> m1_rlsub_1(A,k2_rlsub_1(A)))) # label(t54_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7047 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (r1_rlvect_1(C,B) <-> u1_struct_0(C) = k3_rlsub_1(A,k5_rlvect_1(A,B),C)))))))) # label(t67_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7048 $T # label(t46_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7049 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlsub_1(D,A) -> (r2_hidden(k3_rlvect_1(A,B,C),k3_rlsub_1(A,B,D)) -> r1_rlvect_1(D,B) | np__1 = C))))))))) # label(t74_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7050 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) -> r1_rlvect_1(C,k1_rlvect_1(B)))))))) # label(t26_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7051 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) & v2_rlvect_1(B) -> (all C (m1_rlsub_1(C,A) & v2_rlvect_1(C) -> (all D (m2_rlsub_1(D,A,B) -> (all E (m2_rlsub_1(E,A,C) -> (D = E -> B = C))))))))))) # label(t87_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7052 (all A (v2_rlvect_1(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) & v2_rlvect_1(B) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_rlvect_1(A,C) <-> r1_rlvect_1(B,C)))) -> A = B))))) # label(t41_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7053 (all A all B (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & m1_rlsub_1(B,A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists C m2_rlsub_1(C,A,B)))) # label(existence_m2_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7054 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (u1_struct_0(C) = k3_rlsub_1(A,B,C) <-> r1_rlvect_1(C,B)))))))) # label(t64_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7055 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlsub_1(D,A) -> (r1_rlvect_1(D,B) -> r2_hidden(k3_rlvect_1(A,B,C),k3_rlsub_1(A,B,D))))))))))) # label(t75_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7056 (all A (v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> g2_rlvect_1(u1_struct_0(A),u2_struct_0(A),u1_rlvect_1(A),u2_rlvect_1(A)) = k2_rlsub_1(A))) # label(d4_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7057 $T # label(t11_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7058 (all A (v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (u2_rlvect_1(B) = k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,u1_struct_0(B))) & u1_rlvect_1(B) = k1_realset1(u1_rlvect_1(A),u1_struct_0(B)) & u2_struct_0(A) = u2_struct_0(B) & r1_tarski(u1_struct_0(B),u1_struct_0(A)) <-> m1_rlsub_1(B,A)))))) # label(d2_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7059 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(C,A) & D = a_3_0_rlsub_1(A,B,C) & v1_rlsub_1(B,A) -> v1_rlsub_1(D,A)))))))))) # label(t9_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7060 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r1_rlvect_1(D,C) & r1_rlvect_1(D,B) -> r1_rlvect_1(D,k4_rlvect_1(A,B,C))))))))))) # label(t28_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7061 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) -> v1_rlsub_1(k1_struct_0(A,k1_rlvect_1(A)),A))) # label(t7_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7062 (all A (v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k4_rlvect_1(A,C,D),B)))))) & (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) -> r2_hidden(k3_rlvect_1(A,D,C),B)))))) <-> v1_rlsub_1(B,A)))))) # label(d1_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7063 (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 (v3_rlvect_1(B) & v6_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v4_rlvect_1(C) & v6_rlvect_1(C) & l2_rlvect_1(C) & v7_rlvect_1(C) & v5_rlvect_1(C) & v3_rlvect_1(C) -> (m1_rlsub_1(A,B) & m1_rlsub_1(B,C) -> m1_rlsub_1(A,C)))))))) # label(t35_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7064 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> r1_rlvect_1(A,k1_rlvect_1(B)))))) # label(t27_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7065 (all A (v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> m1_rlsub_1(A,A))) # label(t33_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7066 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,C) -> (all E (m2_relset_1(E,k2_zfmisc_1(C,C),C) & v1_funct_2(E,k2_zfmisc_1(C,C),C) & v1_funct_1(E) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(k1_numbers,C),C) & v1_funct_2(F,k2_zfmisc_1(k1_numbers,C),C) -> (C = B & k1_rlvect_1(A) = D & E = k1_realset1(u1_rlvect_1(A),B) & F = k8_relset_1(k2_zfmisc_1(k1_numbers,u1_struct_0(A)),u1_struct_0(A),u2_rlvect_1(A),k2_zfmisc_1(k1_numbers,B)) -> m1_rlsub_1(g2_rlvect_1(C,D,E,F),A)))))))))))))) # label(t32_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7067 $T # label(t13_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7068 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m2_rlsub_1(C,A,B) -> (v1_rlsub_1(C,A) <-> u1_struct_0(B) = C))))))) # label(t86_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7069 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (exists B m1_rlsub_1(B,A)))) # label(existence_m1_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7070 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlsub_1(D,A) -> (r1_rlvect_1(D,B) -> r1_rlvect_1(D,k3_rlvect_1(A,B,C))))))))))) # label(t29_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7071 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (r2_hidden(k1_rlvect_1(A),k3_rlsub_1(A,B,C)) <-> u1_struct_0(C) = k3_rlsub_1(A,B,C)))))))) # label(t63_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7072 (all A (v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_rlsub_1(C,A) -> (B = u1_struct_0(C) -> v1_rlsub_1(B,A)))))))) # label(t42_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7073 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> r2_hidden(B,k3_rlsub_1(A,B,C)))))))) # label(t59_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7074 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r2_hidden(k4_rlvect_1(A,B,C),k3_rlsub_1(A,C,D)) <-> r1_rlvect_1(D,B)))))))))) # label(t77_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7075 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k6_rlvect_1(A,C,D),B))))))))))) # label(t6_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7076 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> k3_rlsub_1(A,k1_rlvect_1(A),B) = u1_struct_0(B))))) # label(t60_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7077 $T # label(t44_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7078 (all A (l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & v2_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & l2_rlvect_1(B) & v7_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v2_rlvect_1(B) & -v3_struct_0(B) -> (m1_rlsub_1(B,A) & m1_rlsub_1(A,B) -> B = A))))) # label(t34_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7079 (all A (l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (r2_hidden(k5_rlvect_1(A,B),k3_rlsub_1(A,B,C)) <-> r1_rlvect_1(C,B)))))))) # label(t76_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7080 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> -((all E (m1_subset_1(E,u1_struct_0(A)) -> -(C = k4_rlvect_1(A,B,E) & r1_rlvect_1(D,E)))) & k3_rlsub_1(A,C,D) = k3_rlsub_1(A,B,D)))))))))) # label(t82_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7081 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) -> k1_rlvect_1(B) = k1_rlvect_1(C))))))) # label(t20_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7082 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> ((exists E (r2_hidden(C,k3_rlsub_1(A,E,D)) & r2_hidden(B,k3_rlsub_1(A,E,D)) & m1_subset_1(E,u1_struct_0(A)))) <-> r1_rlvect_1(D,k6_rlvect_1(A,B,C))))))))))) # label(t81_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7083 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_rlsub_1(E,A) -> (r2_hidden(B,k3_rlsub_1(A,D,E)) & r2_hidden(B,k3_rlsub_1(A,C,E)) -> k3_rlsub_1(A,D,E) = k3_rlsub_1(A,C,E)))))))))))) # label(t72_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.67 7084 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) & v2_rlvect_1(C) -> (all D (m1_rlsub_1(D,A) & v2_rlvect_1(D) -> (k3_rlsub_1(A,B,D) = k3_rlsub_1(A,B,C) <-> D = C))))))))) # label(t84_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7085 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r2_hidden(B,k3_rlsub_1(A,k5_rlvect_1(A,C),D)) & r2_hidden(B,k3_rlsub_1(A,C,D)) -> r1_rlvect_1(D,C)))))))))) # label(t73_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7086 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) -> k1_rlsub_1(B) = k1_rlsub_1(C))))))) # label(t49_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7087 (all A (-v3_struct_0(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> m2_rlsub_1(k1_struct_0(A,B),A,k1_rlsub_1(A)))))) # label(t88_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7088 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r1_rlvect_1(D,B) & r1_rlvect_1(D,C) -> r1_rlvect_1(D,k6_rlvect_1(A,B,C))))))))))) # label(t31_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7089 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> m2_rlsub_1(u1_struct_0(A),A,k2_rlsub_1(A)))) # label(t91_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7090 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (k3_rlsub_1(A,C,D) = k3_rlsub_1(A,B,D) <-> r2_hidden(B,k3_rlsub_1(A,C,D))))))))))) # label(t70_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7091 (all A (v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlsub_1(C,A) -> (all D (m2_rlsub_1(D,A,C) -> (all E (m2_rlsub_1(E,A,C) -> (r2_hidden(B,E) & r2_hidden(B,D) -> D = E))))))))))) # label(t98_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7092 (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_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> m1_rlsub_1(B,C)))))))) # label(t36_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7093 $T # label(t14_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7094 (all A (l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> m2_rlsub_1(u1_struct_0(B),A,B))))) # label(t90_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7095 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_struct_0(A,B) = k3_rlsub_1(A,B,k1_rlsub_1(A)))))) # label(t61_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7096 (all A (v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (all F (m1_subset_1(F,u1_struct_0(D)) -> (C = F & E = B -> k4_rlvect_1(A,B,C) = k4_rlvect_1(D,E,F)))))))))))))) # label(t21_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7097 (all A (v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) & v2_rlvect_1(B) -> (all C (m1_rlsub_1(C,A) & v2_rlvect_1(C) -> (u1_struct_0(B) = u1_struct_0(C) -> C = B))))))) # label(t38_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7098 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlsub_1(D,A) -> (r1_rlvect_1(D,B) -> k3_rlsub_1(A,k3_rlvect_1(A,B,C),D) = u1_struct_0(D)))))))))) # label(t65_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7099 (all A (v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) & v2_rlvect_1(D) -> (all E (m1_rlsub_1(E,A) & v2_rlvect_1(E) -> (k3_rlsub_1(A,B,D) = k3_rlsub_1(A,C,E) -> D = E))))))))))) # label(t85_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7100 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & m1_rlsub_1(B,A) & v4_rlvect_1(A) -> (all C (m2_rlsub_1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7101 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r2_hidden(B,k3_rlsub_1(A,C,D)) <-> (exists E (r1_rlvect_1(D,E) & k6_rlvect_1(A,C,E) = B & m1_subset_1(E,u1_struct_0(A))))))))))))) # label(t80_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7102 (all A (v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (r2_hidden(k6_rlvect_1(A,B,C),k3_rlsub_1(A,B,D)) <-> r1_rlvect_1(D,C)))))))))) # label(t78_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7103 $T # label(t1_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7104 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> m1_rlsub_1(k1_rlsub_1(A),B))))) # label(t51_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7105 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> u1_struct_0(A) = k3_rlsub_1(A,B,k2_rlsub_1(A)))))) # label(t62_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7106 (all A (v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (all E (m2_rlsub_1(E,A,D) -> -((all F (m1_subset_1(F,u1_struct_0(A)) -> -(r1_rlvect_1(D,F) & C = k4_rlvect_1(A,B,F)))) & r2_hidden(C,E) & r2_hidden(B,E)))))))))))) # label(t95_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7107 $T # label(t55_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7108 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B all C (m1_rlsub_1(C,A) -> (all D (m1_rlsub_1(D,A) -> (m1_rlsub_1(C,D) & r1_rlvect_1(C,B) -> r1_rlvect_1(D,B)))))))) # label(t16_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7109 (all A (v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlsub_1(D,A) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (all F (m1_subset_1(F,u1_struct_0(D)) -> (E = B & F = C -> k6_rlvect_1(A,B,C) = k6_rlvect_1(D,E,F)))))))))))))) # label(t24_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7110 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m1_rlsub_1(C,A) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_rlvect_1(B,D) -> r1_rlvect_1(C,D)))) -> m1_rlsub_1(B,C)))))))) # label(t37_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7111 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m2_rlsub_1(C,A,B) -> (C = u1_struct_0(B) <-> r2_hidden(k1_rlvect_1(A),C)))))))) # label(t93_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7112 (all A (v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlsub_1(B,A) -> r1_rlvect_1(B,k1_rlvect_1(A)))))) # label(t25_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7113 (all A all B all C all D (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_rlsub_1(D,B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> ((exists E (A = k4_rlvect_1(B,C,E) & r1_rlvect_1(D,E) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_1_rlsub_1(B,C,D))))) # label(fraenkel_a_3_1_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7114 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_rlsub_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m1_subset_1(C,u1_struct_0(A)))))))) # label(t18_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7115 (all A all B all C all D (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v7_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & l2_rlvect_1(B) & v6_rlvect_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_0_rlsub_1(B,C,D)) <-> (exists E exists F (A = k4_rlvect_1(B,E,F) & r2_hidden(E,C) & r2_hidden(F,D) & m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_0_rlsub_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7116 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_group_1(A,k3_group_1(A,C),k3_group_1(A,B)) = k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C)) <-> k1_group_1(A,C,B) = k1_group_1(A,B,C)))))))) # label(t27_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7117 $T # label(t87_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7118 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v2_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,C,B) & k1_group_1(A,B,C) = C)) <-> B = k2_group_1(A))))))) # label(d5_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7119 $T # label(t40_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7120 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (v6_group_1(A) -> r1_xreal_0(np__1,k9_group_1(A))))) # label(t90_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7121 (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)) -> 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]. 188.23/187.68 7122 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> k4_group_1(A) = k6_finseqop(u1_struct_0(A),u1_group_1(A)))) # label(t37_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7123 (all A (-v3_struct_0(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,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D))))))))))) # label(d4_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7124 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (k1_group_1(B,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]. 188.23/187.68 7125 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),k5_numbers),u1_struct_0(A)) & m2_relset_1(B,k2_zfmisc_1(u1_struct_0(A),k5_numbers),u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (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))) & k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),B,C,np__0) = k2_group_1(A))) <-> B = k5_group_1(A)))))) # label(d8_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7126 (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) -> k2_group_1(B) = k6_group_1(B,A,k2_group_1(B)))))) # label(t42_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7127 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k1_group_1(A,B,C) = D <-> k1_group_1(A,D,k3_group_1(A,C)) = B))))))))) # label(t22_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7128 $T # label(t30_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7129 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (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]. 188.23/187.68 7130 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> v1_card_1(k8_group_1(A)))) # label(dt_k8_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7131 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_group_1(A) & v7_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k10_group_1(A,B,C),u1_struct_0(A)))) # label(dt_k10_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7132 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(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]. 188.23/187.68 7133 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(B) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = k3_group_1(A,C))) <-> k4_group_1(A) = B))))) # label(d7_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7134 $T # label(t81_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7135 (all A (-v3_struct_0(A) & l1_group_1(A) -> ((exists B ((all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & B = k1_group_1(A,D,C) & B = k1_group_1(A,C,D))) & k1_group_1(A,B,C) = C & C = k1_group_1(A,C,B))) & m1_subset_1(B,u1_struct_0(A)))) <-> v3_group_1(A)))) # label(d3_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7136 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k3_group_1(A,B) = B <-> k6_group_1(A,np__2,B) = k2_group_1(A)))))) # label(t47_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7137 (all A (v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> v2_binop_1(u1_group_1(A),u1_struct_0(A)))) # label(t31_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7138 $T # label(t89_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7139 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> (all C (-v3_struct_0(C) & v3_group_1(C) & l1_group_1(C) & v4_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> (k1_group_1(C,E,D) = k1_group_1(C,D,E) -> k1_group_1(C,k6_group_1(C,B,E),k6_group_1(C,A,D)) = k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,E))))))))))))) # label(t75_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7140 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (np__0 = A -> k6_group_1(B,A,C) = k2_group_1(B)))))))) # label(t59_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7141 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> (all C (-v3_struct_0(C) & l1_group_1(C) & v4_group_1(C) & v3_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k6_group_1(C,B,k6_group_1(C,A,D)) = k6_group_1(C,k3_xcmplx_0(A,B),D))))))))) # label(t68_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7142 $T # label(t2_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7143 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(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]. 188.23/187.68 7144 (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,C,B) | k1_group_1(A,B,C) = k2_group_1(A) -> C = k3_group_1(A,B) & B = k3_group_1(A,C)))))))) # label(t20_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7145 (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) -> (v5_group_1(B,A) -> (C = k7_group_1(A,B) <-> C = np__0)) & (-v5_group_1(B,A) -> (C = k7_group_1(A,B) <-> np__0 != C & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k2_group_1(A) = k6_group_1(A,D,B) -> r1_xreal_0(C,D) | np__0 = D))) & k2_group_1(A) = k6_group_1(A,C,B))))))))) # label(d12_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7146 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (k6_group_1(A,C,B) = k2_group_1(A) -> C = np__0))) <-> v5_group_1(B,A)))))) # label(d11_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7147 $T # label(t78_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7148 (all A all B (v4_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k3_group_1(A,B),u1_struct_0(A)))) # label(dt_k3_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7149 $T # label(t38_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7150 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (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)) -> 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]. 188.23/187.68 7151 (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(B,A),D) = k1_group_1(C,k6_group_1(C,B,D),k6_group_1(C,A,D)))))))))) # label(t65_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7152 $T # label(t39_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7153 (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]. 188.23/187.68 7154 (exists A (l1_group_1(A) & v2_group_1(A) & v3_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A))) # label(rc3_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7155 (all A all B all C (-v1_xboole_0(A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_subset_1(C,A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> -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]. 188.23/187.68 7156 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A)))) # label(dt_k1_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7157 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_int_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-r1_xreal_0(np__0,B) -> k3_group_1(A,k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),k5_group_1(A),C,k1_int_2(B))) = k6_group_1(A,B,C)) & (r1_xreal_0(np__0,B) -> k6_group_1(A,B,C) = k2_binop_1(u1_struct_0(A),k5_numbers,u1_struct_0(A),k5_group_1(A),C,k1_int_2(B))))))))) # label(d9_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7158 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> 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]. 188.23/187.68 7159 (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_group_1(A,B,B) = k6_group_1(A,np__2,B))))) # label(t45_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7160 (all A all B all C (-v3_struct_0(A) & m1_subset_1(C,u1_struct_0(A)) & v1_int_1(B) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> m1_subset_1(k6_group_1(A,B,C),u1_struct_0(A)))) # label(dt_k6_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7161 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_group_1(A),B,C) = k1_group_1(A,B,C))))))) # label(d1_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7162 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (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)) -> k1_group_1(C,k6_group_1(C,A,D),k6_group_1(C,B,D)) = k6_group_1(C,k2_xcmplx_0(A,B),D))))))))) # label(t64_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7163 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_group_1(A) = k6_group_1(A,np__0,B))))) # label(t43_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7164 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v7_group_1(A) & v4_group_1(A) -> v4_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A))) & v5_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A))) & v6_rlvect_1(g1_rlvect_1(u1_struct_0(A),u1_group_1(A),k2_group_1(A))) & 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]. 188.23/187.68 7165 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (k1_group_1(A,D,B) = C & m1_subset_1(D,u1_struct_0(A)))))))))) # label(t24_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7166 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v2_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,B,C) = C & k1_group_1(A,C,B) = C))))))) # label(d2_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7167 (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)) -> k1_group_1(B,k6_group_1(B,A,C),C) = k6_group_1(B,k1_nat_1(A,np__1),C) & k6_group_1(B,k1_nat_1(A,np__1),C) = k1_group_1(B,C,k6_group_1(B,A,C)))))))) # label(t49_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7168 (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]. 188.23/187.68 7169 $T # label(t76_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7170 (all A (-v3_struct_0(A) & l1_group_1(A) & v2_group_1(A) -> r3_binop_1(u1_struct_0(A),k2_group_1(A),u1_group_1(A)))) # label(t32_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7171 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7172 $T # label(t13_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7173 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> -v5_group_1(k2_group_1(A),A))) # label(t79_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7174 (all A all B all C (-v3_struct_0(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v7_group_1(A) -> k1_group_1(A,B,C) = k10_group_1(A,B,C))) # label(redefinition_k10_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7175 (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)) -> k3_group_1(B,k6_group_1(B,A,C)) = k6_group_1(B,k4_xcmplx_0(A),C))))))) # label(t70_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7176 (all A (-v3_struct_0(A) & l1_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)) & v1_funct_1(k5_group_1(A)))) # label(dt_k5_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7177 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7178 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v7_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)) -> 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]. 188.23/187.68 7179 (all A (v1_int_1(A) -> (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(t63_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7180 $T # label(t1_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7181 (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) -> D = B & A = C)))) # label(free_g1_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7182 (all A all B all C (l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v7_group_1(A) & -v3_struct_0(A) -> k10_group_1(A,B,C) = k10_group_1(A,C,B))) # label(commutativity_k10_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7183 (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)) -> (k2_group_1(A) = k3_group_1(A,B) -> k2_group_1(A) = B))))) # label(t18_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7184 $T # label(t83_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7185 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (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)) -> (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]. 188.23/187.68 7186 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k3_group_1(A,B) = k3_group_1(A,C) -> C = B))))))) # label(t17_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7187 $T # label(t11_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7188 $T # label(t58_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7189 (exists A (l1_group_1(A) & -v3_struct_0(A) & v1_group_1(A) & v7_group_1(A) & v4_group_1(A) & v3_group_1(A) & v2_group_1(A))) # label(rc4_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7190 $T # label(t4_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7191 (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)) -> (np__1 = k7_group_1(A,B) -> B = k2_group_1(A)))))) # label(t85_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7192 (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)) -> k1_group_1(A,C,B) = C & C = k1_group_1(A,B,C))) -> B = k2_group_1(A)))))) # label(t10_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7193 (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]. 188.23/187.68 7194 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k1_group_1(A,B,C) = D <-> k1_group_1(A,k3_group_1(A,B),D) = C))))))))) # label(t21_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7195 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (v6_group_1(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (k9_group_1(A) = B <-> (exists C (v1_finset_1(C) & u1_struct_0(A) = C & B = k4_card_1(C))))))))) # label(d15_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7196 $T # label(t88_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7197 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_group_1(B) & l1_group_1(B) & v7_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k10_group_1(B,k6_group_1(B,A,C),k6_group_1(B,A,D)) = k6_group_1(B,A,k10_group_1(B,C,D)))))))))) # label(t95_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7198 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_group_1(A,k7_binop_2(np__1),B) = k3_group_1(A,B))))) # label(t62_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7199 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k2_group_1(A) = k1_group_1(A,C,B) & k1_group_1(A,B,C) = k2_group_1(A) <-> C = k3_group_1(A,B)))))))) # label(d6_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7200 (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_1(A,k1_group_1(A,B,B),B) = k6_group_1(A,np__3,B))))) # label(t46_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7201 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (-v3_struct_0(C) & v3_group_1(C) & l1_group_1(C) & v4_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k6_group_1(C,k3_xcmplx_0(A,B),D) = k6_group_1(C,B,k6_group_1(C,A,D)))))))))) # label(t67_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7202 (all A (-v3_struct_0(A) & v2_group_1(A) & l1_group_1(A) -> k3_binop_1(u1_struct_0(A),u1_group_1(A)) = k2_group_1(A))) # label(t33_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7203 (all A all B (v1_funct_1(B) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & -v1_xboole_0(A) -> v1_group_1(g1_group_1(A,B)) & -v3_struct_0(g1_group_1(A,B)))) # label(fc1_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7204 $T # label(t57_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7205 (all A (l1_group_1(A) & v2_group_1(A) & -v3_struct_0(A) -> v1_setwiseo(u1_group_1(A),u1_struct_0(A)))) # label(t34_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7206 (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,k6_group_1(B,A,D),C) = k1_group_1(B,C,k6_group_1(B,A,D))))))))))) # label(t77_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7207 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r1_xreal_0(A,np__0) -> k6_group_1(B,A,C) = k3_group_1(B,k6_group_1(B,k1_int_2(A),C))))))))) # label(t60_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7208 (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) -> 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]. 188.23/187.68 7209 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (-v3_struct_0(C) & v4_group_1(C) & l1_group_1(C) & v3_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> (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]. 188.23/187.68 7210 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v1_int_1(B) -> (all C (-v3_struct_0(C) & v4_group_1(C) & l1_group_1(C) & v3_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k6_group_1(C,k3_xcmplx_0(B,A),D) = k6_group_1(C,A,k6_group_1(C,B,D)))))))))) # label(t69_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7211 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> 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]. 188.23/187.68 7212 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> k1_card_1(u1_struct_0(A)) = k8_group_1(A))) # label(d13_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7213 $T # label(t9_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7214 (all A (v1_int_1(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r1_xreal_0(np__0,A) -> k6_group_1(B,k1_int_2(A),C) = k6_group_1(B,A,C)))))))) # label(t55_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7215 (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 = k3_group_1(A,k3_group_1(A,B)))))) # label(t19_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7216 (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]. 188.23/187.68 7217 (all A (v1_int_1(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> k6_group_1(B,A,k2_group_1(B)) = k2_group_1(B))))) # label(t61_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7218 (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) <-> 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]. 188.23/187.68 7219 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_group_1(A,k1_group_1(A,B,C)) = k1_group_1(A,k3_group_1(A,C),k3_group_1(A,B)))))))) # label(t25_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7220 (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) <-> k3_group_1(A,k1_group_1(A,B,C)) = k1_group_1(A,k3_group_1(A,B),k3_group_1(A,C))))))))) # label(t26_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7221 (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,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(t54_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7222 (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)) -> 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]. 188.23/187.68 7223 $T # label(t91_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7224 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> k7_group_1(A,k2_group_1(A)) = np__1)) # label(t84_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7225 $T # label(t8_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7226 (exists A (v1_group_1(A) & l1_group_1(A))) # label(rc1_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7227 (exists A (-v3_struct_0(A) & v1_group_1(A) & l1_group_1(A))) # label(rc2_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7228 (all A (-v3_struct_0(A) & l1_group_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_group_1(A,k1_group_1(A,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D)))))))) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(all C (m1_subset_1(C,u1_struct_0(A)) -> C = k1_group_1(A,B,C) & (exists D (m1_subset_1(D,u1_struct_0(A)) & k1_group_1(A,D,C) = B & k1_group_1(A,C,D) = B)) & k1_group_1(A,C,B) = C)))) | -v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A)))) # label(t5_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7229 (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 (C = k1_group_1(A,D,B) & m1_subset_1(D,u1_struct_0(A)))) & (exists D (m1_subset_1(D,u1_struct_0(A)) & C = k1_group_1(A,B,D))))))) & (all B (m1_subset_1(B,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]. 188.23/187.68 7230 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> v1_finseqop(u1_group_1(A),u1_struct_0(A)))) # label(t36_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.68 7231 (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]. 188.23/187.68 7232 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (-r1_xreal_0(np__0,A) -> 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]. 188.23/187.69 7233 $T # label(t29_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7234 $T # label(t3_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7235 (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)) -> B = k6_group_1(A,np__1,B))))) # label(t44_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7236 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (C = k1_group_1(A,B,D) & m1_subset_1(D,u1_struct_0(A)))))))))) # label(t23_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7237 $T # label(t41_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7238 (all A (l1_group_1(A) -> (v3_group_1(A) & -v3_struct_0(A) -> v2_group_1(A) & -v3_struct_0(A)))) # label(cc1_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7239 $T # label(t93_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7240 (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) = k6_group_1(A,k7_group_1(A,B),B))))) # label(t82_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7241 (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 = k1_group_1(A,B,C) | k1_group_1(A,C,B) = B -> C = k2_group_1(A)))))))) # label(t15_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7242 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_group_1(A,C,B) = k2_group_1(A) & k1_group_1(A,B,C) = k2_group_1(A) -> C = k3_group_1(A,B)))))))) # label(t12_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7243 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_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]. 188.23/187.69 7244 $T # label(t80_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7245 (all A (l1_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k2_group_1(A),u1_struct_0(A)))) # label(dt_k2_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7246 (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]. 188.23/187.69 7247 (all A (l1_struct_0(A) -> (v1_finset_1(u1_struct_0(A)) <-> v6_group_1(A)))) # label(d14_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7248 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> k2_group_1(A) = k3_group_1(A,k2_group_1(A)))) # label(t16_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7249 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v7_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)) -> k10_group_1(A,k3_group_1(A,B),k3_group_1(A,C)) = k3_group_1(A,k10_group_1(A,B,C)))))))) # label(t94_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7250 (all A (v1_int_1(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k1_group_1(B,C,k6_group_1(B,A,C)) = k6_group_1(B,k2_xcmplx_0(A,np__1),C) & k6_group_1(B,k2_xcmplx_0(A,np__1),C) = k1_group_1(B,k6_group_1(B,A,C),C))))))) # label(t66_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7251 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k1_group_1(A,D,B) = k1_group_1(A,C,B) | k1_group_1(A,B,D) = k1_group_1(A,B,C) -> D = C))))))))) # label(t14_group_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7252 (all A (l3_vectsp_1(A) -> l1_rlvect_1(A) & l2_vectsp_1(A))) # label(dt_l3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7253 $T # label(t61_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7254 (exists A (l3_vectsp_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v2_group_1(A) & v4_group_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_vectsp_1(A) & v4_vectsp_1(A) & v3_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A))) # label(rc10_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7255 (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_vectsp_1(g1_vectsp_1(A,B,C)) & l1_vectsp_1(g1_vectsp_1(A,B,C)))) # label(dt_g1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7256 $T # label(t11_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7257 (all A (l1_vectsp_1(A) -> u1_vectsp_1(A) = k2_vectsp_1(A))) # label(d9_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7258 (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)) -> (k1_rlvect_1(A) = k6_rlvect_1(A,B,C) -> C = B))))))) # label(t84_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7259 (all A (-v3_struct_0(A) & l3_vectsp_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_group_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B)))))))) <-> v5_vectsp_1(A)))) # label(d12_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7260 (all A (l1_vectsp_1(A) -> (v2_group_1(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v8_vectsp_1(A) & v6_vectsp_1(A)))) # label(cc3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7261 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,k5_rlvect_1(A,B),k5_rlvect_1(A,C)) = k1_group_1(A,B,C))))))) # label(t42_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7262 (all A (l3_vectsp_1(A) & v4_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)) -> k1_rlvect_1(A) = k1_group_1(A,B,k1_rlvect_1(A)))))) # label(t36_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7263 (all A (v3_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) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k5_rlvect_1(B,k6_vectsp_1(A,B,C,D)) = k6_vectsp_1(A,B,k5_rlvect_1(A,C),D) & k6_rlvect_1(B,E,k6_vectsp_1(A,B,C,D)) = k2_rlvect_1(B,E,k6_vectsp_1(A,B,k5_rlvect_1(A,C),D)))))))))))) # label(t68_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7264 (all A (l1_struct_0(A) -> (exists B (-v3_struct_0(B) & v11_vectsp_1(B,A) & l4_vectsp_1(B,A))))) # label(rc12_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7265 (all A (-v3_struct_0(A) & l3_vectsp_1(A) -> (all B (l4_vectsp_1(B,A) & -v3_struct_0(B) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> 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)) & k2_rlvect_1(B,k6_vectsp_1(A,B,C,E),k6_vectsp_1(A,B,D,E)) = k6_vectsp_1(A,B,k2_rlvect_1(A,C,D),E) & k6_vectsp_1(A,B,k2_group_1(A),E) = E & k6_vectsp_1(A,B,k1_group_1(A,C,D),E) = k6_vectsp_1(A,B,C,k6_vectsp_1(A,B,D,E)))))))))) <-> v12_vectsp_1(B,A)))))) # label(d26_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7266 (all A (l1_struct_0(A) -> (exists B l4_vectsp_1(B,A)))) # label(existence_l4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7267 $T # label(t19_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7268 (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,A,k4_rlvect_1(k1_vectsp_1,B,C)) = k4_rlvect_1(k1_vectsp_1,k4_rlvect_1(k1_vectsp_1,A,B),C) & k4_rlvect_1(k1_vectsp_1,A,k5_rlvect_1(k1_vectsp_1,A)) = k1_rlvect_1(k1_vectsp_1) & k4_rlvect_1(k1_vectsp_1,A,k1_rlvect_1(k1_vectsp_1)) = A & k4_rlvect_1(k1_vectsp_1,A,B) = k4_rlvect_1(k1_vectsp_1,B,A))))))) # label(t6_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7269 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v4_rlvect_1(C) & v5_rlvect_1(C) & l4_vectsp_1(C,A) & v12_vectsp_1(C,A) & v6_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (D = k1_rlvect_1(C) | B = k1_rlvect_1(A) <-> k6_vectsp_1(A,C,B,D) = k1_rlvect_1(C)))))))))) # label(t60_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7270 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v5_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k6_rlvect_1(A,k1_group_1(A,B,D),k1_group_1(A,C,D)) = k1_group_1(A,k6_rlvect_1(A,B,C),D))))))))) # label(t45_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7271 $T # label(t13_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7272 $T # label(t49_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7273 (exists A (v3_vectsp_1(A) & l3_vectsp_1(A))) # label(rc6_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7274 $T # label(t12_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7275 (all A (v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v4_rlvect_1(C) & v5_rlvect_1(C) & l4_vectsp_1(C,A) & v12_vectsp_1(C,A) & v6_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (B != k1_rlvect_1(A) -> k6_vectsp_1(A,C,k4_vectsp_1(A,B),k6_vectsp_1(A,C,B,D)) = D))))))))) # label(t67_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7276 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> -v3_struct_0(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))) & v4_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A))) & v3_group_1(g1_group_1(u1_struct_0(A),u1_rlvect_1(A))))) # label(t94_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7277 (all A (l2_vectsp_1(A) -> l2_struct_0(A) & l1_vectsp_1(A))) # label(dt_l2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7278 $T # label(d2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7279 (exists A (l1_vectsp_1(A) & v2_group_1(A) & v7_group_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A))) # label(rc9_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.23/187.69 7280 (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]. 188.23/187.69 7281 (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]. 188.31/187.69 7282 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k5_rlvect_1(A,k2_rlvect_1(A,k5_rlvect_1(A,C),k5_rlvect_1(A,B))) = k2_rlvect_1(A,B,C))))))) # label(t89_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7283 $T # label(t57_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7284 $T # label(t5_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7285 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v6_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k1_rlvect_1(A) = k6_rlvect_1(A,k10_group_1(A,B,D),C) -> D = k10_group_1(A,C,k4_vectsp_1(A,B)) | B = k1_rlvect_1(A)) & (k1_rlvect_1(A) = k6_rlvect_1(A,C,k10_group_1(A,D,B)) -> B = k1_rlvect_1(A) | D = k10_group_1(A,C,k4_vectsp_1(A,B))))))))))) # label(t88_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7286 (all A (-v3_struct_0(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k6_vectsp_1(A,B,C,k6_rlvect_1(B,D,E)) = k6_rlvect_1(B,k6_vectsp_1(A,B,C,D),k6_vectsp_1(A,B,C,E)))))))))))) # label(t70_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7287 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k5_rlvect_1(A,C) = k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C))) <-> k7_vectsp_1(A) = B))))) # label(d25_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7288 $T # label(t29_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7289 $T # label(d14_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7290 $T # label(t47_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7291 (exists A (-v3_struct_0(A) & v1_vectsp_1(A) & l1_vectsp_1(A))) # label(rc3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7292 $T # label(t79_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7293 $T # label(t53_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7294 $T # label(t72_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7295 $T # label(t58_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7296 (all A (-v3_struct_0(A) & l3_vectsp_1(A) -> (v7_vectsp_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_group_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B)) & k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) = k1_group_1(A,B,k2_rlvect_1(A,C,D))))))))))) # label(d18_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7297 (all A (v5_rlvect_1(A) & v4_group_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (v13_vectsp_1(A) <-> k1_rlvect_1(A) != k2_rlvect_1(A,k2_group_1(A),k2_group_1(A))))) # label(d29_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7298 $T # label(t77_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7299 $T # label(t25_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7300 $T # label(t54_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7301 (all A (-v3_struct_0(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_rlvect_1(A,k1_rlvect_1(A),B) = k5_rlvect_1(A,B) & B = k6_rlvect_1(A,B,k1_rlvect_1(A)))))) # label(t65_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7302 $T # label(t17_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7303 (exists A l2_vectsp_1(A)) # label(existence_l2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7304 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_rlvect_1(A) != B -> k4_vectsp_1(A,k4_vectsp_1(A,B)) = B))))) # label(t73_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7305 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k6_rlvect_1(A,k6_rlvect_1(A,B,D),C) = k6_rlvect_1(A,k6_rlvect_1(A,B,C),D))))))))) # label(t93_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7306 (all A all B all C all D all E (m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & m1_subset_1(D,A) & m1_subset_1(E,A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> 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]. 188.31/187.69 7307 $T # label(t51_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7308 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(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]. 188.31/187.69 7309 (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,k5_rlvect_1(k3_vectsp_1,A)) = k1_rlvect_1(k3_vectsp_1) & k10_group_1(k3_vectsp_1,B,A) = k10_group_1(k3_vectsp_1,A,B) & k10_group_1(k3_vectsp_1,k2_group_1(k3_vectsp_1),A) = A & k10_group_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,B,C),A) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,B,A),k10_group_1(k3_vectsp_1,C,A)) & k10_group_1(k3_vectsp_1,A,k4_rlvect_1(k3_vectsp_1,B,C)) = k4_rlvect_1(k3_vectsp_1,k10_group_1(k3_vectsp_1,A,B),k10_group_1(k3_vectsp_1,A,C)) & -(k1_rlvect_1(k3_vectsp_1) != A & (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,k10_group_1(k3_vectsp_1,A,B),C) = k10_group_1(k3_vectsp_1,A,k10_group_1(k3_vectsp_1,B,C)) & A = k4_rlvect_1(k3_vectsp_1,A,k1_rlvect_1(k3_vectsp_1)) & k4_rlvect_1(k3_vectsp_1,k4_rlvect_1(k3_vectsp_1,A,B),C) = k4_rlvect_1(k3_vectsp_1,A,k4_rlvect_1(k3_vectsp_1,B,C)) & k4_rlvect_1(k3_vectsp_1,B,A) = k4_rlvect_1(k3_vectsp_1,A,B))))))) # label(t21_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7310 (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)) -> (k1_rlvect_1(A) = k6_rlvect_1(A,B,C) -> k1_rlvect_1(A) = k6_rlvect_1(A,C,B)))))))) # label(t87_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7311 $T # label(t31_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7312 (all A (-v3_struct_0(A) & l2_vectsp_1(A) -> (k2_group_1(A) = k1_rlvect_1(A) <-> v10_vectsp_1(A)))) # label(d21_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7313 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k10_group_1(A,B,C) = k1_rlvect_1(A) <-> k1_rlvect_1(A) = B | k1_rlvect_1(A) = C))))))) # label(t44_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7314 (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)) -> (k5_rlvect_1(A,B) = k1_rlvect_1(A) -> k1_rlvect_1(A) = B))))) # label(t86_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7315 $T # label(d4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7316 (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]. 188.31/187.69 7317 $T # label(t9_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7318 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,B,k5_rlvect_1(A,C)) = k5_rlvect_1(A,k1_group_1(A,B,C)))))))) # label(t40_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7319 $T # label(t50_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7320 (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]. 188.31/187.69 7321 $T # label(t91_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7322 $T # label(d16_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7323 $T # label(t82_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7324 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v5_vectsp_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,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]. 188.31/187.69 7325 $T # label(t16_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7326 $T # label(t24_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7327 $T # label(t3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7328 (all A (-v3_struct_0(A) & l3_vectsp_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_group_1(A,k2_rlvect_1(A,C,D),B) = k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B)) & k1_group_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) & -(B != k1_rlvect_1(A) & (all E (m1_subset_1(E,u1_struct_0(A)) -> k2_group_1(A) != k1_group_1(A,B,E)))))))))) <-> -v3_struct_0(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A)))) # label(t22_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7329 $T # label(t26_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7330 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k5_rlvect_1(A,k2_rlvect_1(A,D,k5_rlvect_1(A,C))) = k6_rlvect_1(A,C,D) & k2_rlvect_1(A,D,k5_rlvect_1(A,C)) = k5_rlvect_1(A,k6_rlvect_1(A,C,D)) & k2_rlvect_1(A,D,C) = k5_rlvect_1(A,k6_rlvect_1(A,k5_rlvect_1(A,C),D)) & k6_rlvect_1(A,B,k2_rlvect_1(A,D,C)) = k6_rlvect_1(A,k6_rlvect_1(A,B,C),D) & k6_rlvect_1(A,k5_rlvect_1(A,D),C) = k5_rlvect_1(A,k2_rlvect_1(A,C,D)))))))))) # label(t64_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7331 $T # label(t18_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7332 (all A all B (l1_struct_0(A) & l4_vectsp_1(B,A) -> v1_funct_1(u2_vectsp_1(A,B)) & m2_relset_1(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B)) & v1_funct_2(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B)))) # label(dt_u2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7333 (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)) -> (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]. 188.31/187.69 7334 $T # label(t2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7335 $T # label(t80_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7336 (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]. 188.31/187.69 7337 $T # label(d7_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7338 $T # label(t37_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7339 (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]. 188.31/187.69 7340 (all A (v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k6_rlvect_1(A,C,B) = k5_rlvect_1(A,k6_rlvect_1(A,B,C)))))))) # label(t81_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7341 (all A all B all C all D all E (l1_struct_0(A) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_2(E,k2_zfmisc_1(u1_struct_0(A),B),B) & m1_relset_1(E,k2_zfmisc_1(u1_struct_0(A),B),B) & v1_funct_1(E) & m1_subset_1(D,B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> l4_vectsp_1(g4_vectsp_1(A,B,C,D,E),A) & v11_vectsp_1(g4_vectsp_1(A,B,C,D,E),A))) # label(dt_g4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7342 $T # label(t85_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7343 $T # label(t46_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7344 $T # label(t34_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7345 (all A all B all C (m1_subset_1(C,A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all D all E all F (g1_vectsp_1(D,E,F) = g1_vectsp_1(A,B,C) -> B = E & C = F & D = A)))) # label(free_g1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7346 (all A (v6_rlvect_1(A) & l3_vectsp_1(A) & v5_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_1(A,k1_rlvect_1(A),B) = k1_rlvect_1(A))))) # label(t39_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7347 $T # label(d3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7348 $T # label(t8_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7349 $T # label(d1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7350 $T # label(d10_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7351 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v4_rlvect_1(C) & v6_rlvect_1(C) & l4_vectsp_1(C,A) & v12_vectsp_1(C,A) & v5_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> k6_vectsp_1(A,C,k1_rlvect_1(A),D) = k1_rlvect_1(C) & k6_vectsp_1(A,C,B,k1_rlvect_1(C)) = k1_rlvect_1(C) & k6_vectsp_1(A,C,k5_rlvect_1(A,k2_group_1(A)),D) = k5_rlvect_1(C,D))))))))) # label(t59_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7352 (exists A (l1_vectsp_1(A) & v1_vectsp_1(A))) # label(rc2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7353 (all A (-v3_struct_0(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> 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]. 188.31/187.69 7354 $T # label(t27_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7355 (exists A l1_vectsp_1(A)) # label(existence_l1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7356 (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)) -> k5_rlvect_1(A,k2_rlvect_1(A,k5_rlvect_1(A,B),C)) = k2_rlvect_1(A,k5_rlvect_1(A,C),B))))))) # label(t92_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7357 $T # label(d5_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7358 (all A (l3_vectsp_1(A) -> (-v3_struct_0(A) & v4_vectsp_1(A) & v5_vectsp_1(A) -> v7_vectsp_1(A) & -v3_struct_0(A)))) # label(cc2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7359 (exists A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & v1_rlvect_1(A) & l1_rlvect_1(A))) # label(rc1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7360 $T # label(t71_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7361 $T # label(d27_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7362 (all A (-v3_struct_0(A) & l1_vectsp_1(A) -> (v6_vectsp_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_1(A,B,k2_group_1(A)) = B))))) # label(d13_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7363 (all A all B all C all D (m1_relset_1(B,k2_zfmisc_1(A,A),A) & m1_subset_1(C,A) & m1_subset_1(D,A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all E all F all G all H (g2_vectsp_1(A,B,C,D) = g2_vectsp_1(E,F,G,H) -> A = E & C = G & H = D & F = B)))) # label(free_g2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7364 $T # label(d8_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7365 (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]. 188.31/187.69 7366 (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]. 188.31/187.69 7367 (all A (v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists B (v3_rlvect_1(B) & v4_rlvect_1(B) & v11_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) & l4_vectsp_1(B,A))))) # label(rc13_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7368 $T # label(t62_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7369 $T # label(t14_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7370 (all A all B all C all D (v1_funct_1(B) & m1_subset_1(D,A) & m1_subset_1(C,A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> v2_vectsp_1(g2_vectsp_1(A,B,C,D)) & l2_vectsp_1(g2_vectsp_1(A,B,C,D)))) # label(dt_g2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7371 (all A (v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k6_rlvect_1(A,C,D) = k6_rlvect_1(A,k2_rlvect_1(A,C,B),k2_rlvect_1(A,D,B)))))))))) # label(t90_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7372 (exists A (v2_vectsp_1(A) & l2_vectsp_1(A))) # label(rc4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7373 $T # label(t10_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7374 $T # label(t83_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7375 $T # label(t28_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7376 $T # label(t4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7377 $T # label(t32_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7378 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_group_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> k1_rlvect_1(A) != k4_vectsp_1(A,B) & k1_rlvect_1(A) != k5_rlvect_1(A,k4_vectsp_1(A,B))))))) # label(t74_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7379 (exists A (v3_vectsp_1(A) & -v3_struct_0(A) & l3_vectsp_1(A))) # label(rc7_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7380 (all A all B all C (v7_group_1(A) & l3_vectsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k5_vectsp_1(A,B,C),u1_struct_0(A)))) # label(dt_k5_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7381 $T # label(t48_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7382 $T # label(t38_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7383 (all A (v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (C = k4_vectsp_1(A,B) <-> k2_group_1(A) = k10_group_1(A,B,C))))))))) # label(d22_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7384 $T # label(t52_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7385 $T # label(t35_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7386 (all A all B all C all D all E (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & m1_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) & v1_funct_1(E) & m1_subset_1(D,B) & l1_struct_0(A) -> (all F all G all H all I all J (g4_vectsp_1(F,G,H,I,J) = g4_vectsp_1(A,B,C,D,E) -> E = J & D = I & C = H & G = B & A = F)))) # label(free_g4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7387 (exists A (l2_vectsp_1(A) & v2_vectsp_1(A) & -v3_struct_0(A))) # label(rc5_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7388 (all A all B (l1_struct_0(A) & l4_vectsp_1(B,A) -> (v11_vectsp_1(B,A) -> B = g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B))))) # label(abstractness_v11_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7389 $T # label(t15_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7390 (all A (l2_vectsp_1(A) & -v3_struct_0(A) -> (v9_vectsp_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> -((all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,B,C) != k2_group_1(A))) & k1_rlvect_1(A) != B)))))) # label(d20_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7391 (all A (l2_vectsp_1(A) -> (v2_vectsp_1(A) -> g2_vectsp_1(u1_struct_0(A),u1_group_1(A),u1_vectsp_1(A),u2_struct_0(A)) = A))) # label(abstractness_v2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7392 (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)) -> k6_vectsp_1(A,B,C,D) = k2_binop_1(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u2_vectsp_1(A,B),C,D))))))))) # label(d24_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7393 (all A all B all C all D all E (v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & m1_subset_1(E,A) & 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) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all F all G all H all I all J (g3_vectsp_1(F,G,H,I,J) = g3_vectsp_1(A,B,C,D,E) -> A = F & G = B & I = D & J = E & H = C)))) # label(free_g3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.69 7394 (all A (v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_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)) -> (k10_group_1(A,B,C) = k10_group_1(A,B,D) -> k1_rlvect_1(A) = B | D = C))))))))) # label(t33_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7395 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_rlvect_1(A) = k2_rlvect_1(A,B,k5_rlvect_1(A,C)) -> B = C) & (B = C -> k2_rlvect_1(A,B,k5_rlvect_1(A,C)) = k1_rlvect_1(A)) & (k1_rlvect_1(A) = k6_rlvect_1(A,B,C) -> C = B) & (C = B -> k6_rlvect_1(A,B,C) = k1_rlvect_1(A)))))))) # label(t66_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7396 $T # label(d17_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7397 (all A (l1_vectsp_1(A) -> (v6_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v2_group_1(A)))) # label(cc4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7398 $T # label(t56_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7399 $T # label(t75_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7400 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> v1_funct_1(k7_vectsp_1(A)) & v1_funct_2(k7_vectsp_1(A),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k7_vectsp_1(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k7_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7401 (all A (l1_vectsp_1(A) -> l1_group_1(A))) # label(dt_l1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7402 (all A (-v3_struct_0(A) & l1_vectsp_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_group_1(A,k2_group_1(A),B))) <-> v8_vectsp_1(A)))) # label(d19_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7403 (all A all B (v7_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & v9_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k4_vectsp_1(A,B),u1_struct_0(A)))) # label(dt_k4_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7404 $T # label(t23_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7405 (exists A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v2_group_1(A) & v4_group_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & v13_vectsp_1(A) & v8_vectsp_1(A) & v5_vectsp_1(A) & v7_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) & l3_vectsp_1(A))) # label(rc15_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7406 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_rlvect_1(A,C,B) = k2_rlvect_1(A,B,C) & (exists E (k1_rlvect_1(A) = k2_rlvect_1(A,B,E) & m1_subset_1(E,u1_struct_0(A)))) & k2_rlvect_1(A,B,k1_rlvect_1(A)) = B & k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)))))))) <-> v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A)))) # label(t7_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7407 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (v13_vectsp_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k2_rlvect_1(A,B,B) = k1_rlvect_1(A) -> B = k1_rlvect_1(A))))))) # label(d28_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7408 (all A all B all C all D (-v3_struct_0(A) & l1_struct_0(A) & l4_vectsp_1(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & -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]. 188.31/187.70 7409 (exists A (l1_rlvect_1(A) & v13_vectsp_1(A) & -v3_struct_0(A))) # label(rc14_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7410 $T # label(t1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7411 (exists A (-v3_struct_0(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A))) # label(rc8_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7412 (exists A l3_vectsp_1(A)) # label(existence_l3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7413 $T # label(t76_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7414 (all A (l3_vectsp_1(A) -> (-v3_struct_0(A) & v7_vectsp_1(A) -> v5_vectsp_1(A) & v4_vectsp_1(A) & -v3_struct_0(A)))) # label(cc1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7415 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v4_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)) -> (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]. 188.31/187.70 7416 (all A all B all C all D all E (l1_struct_0(A) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(E) & 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) & v1_funct_1(C) & -v1_xboole_0(B) -> v11_vectsp_1(g4_vectsp_1(A,B,C,D,E),A) & -v3_struct_0(g4_vectsp_1(A,B,C,D,E)))) # label(fc6_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7417 $T # label(t30_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7418 $T # label(t55_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7419 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (v3_compts_1(A) & v2_compts_1(A) -> v4_compts_1(A)))) # label(t21_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7420 (all A (l1_pre_topc(A) -> (v2_compts_1(A) <-> v6_compts_1(k2_pre_topc(A),A)))) # label(t10_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7421 $T # label(t6_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7422 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (v3_compts_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_compts_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(r2_hidden(C,k3_subset_1(u1_struct_0(A),B)) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & v3_pre_topc(E,A) & r1_tarski(B,E) & r1_xboole_0(D,E) & r2_hidden(C,D))))))))) | k1_xboole_0 = B)))))) # label(t15_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7423 $T # label(t1_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7424 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_compts_1(B,A) & v3_compts_1(A) -> v4_pre_topc(B,A)))))) # label(t16_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7425 (all A (l1_pre_topc(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(C,E) & r1_xboole_0(D,E) & r2_hidden(B,D) & v3_pre_topc(E,A) & v3_pre_topc(D,A)))))) & C != B))))) <-> v3_compts_1(A)))) # label(d4_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7426 (all A (l1_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,k5_setfam_1(u1_struct_0(A),B)) <-> r1_compts_1(A,B,C)))))))) # label(d1_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7427 (all A (l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(B != k1_xboole_0 & v4_pre_topc(B,A) & v4_pre_topc(C,A) & r1_xboole_0(B,C) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(E,A) & r1_tarski(B,D) & r1_tarski(C,E) & r1_xboole_0(D,E) & v3_pre_topc(D,A)))))) & C != k1_xboole_0))))) <-> v5_compts_1(A)))) # label(d6_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7428 $T # label(t4_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7429 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v2_compts_1(A) & v3_compts_1(B) & k2_pre_topc(A) = k1_relat_1(C) & k2_relat_1(C) = k2_pre_topc(B) & v2_funct_1(C) & v5_pre_topc(C,A,B) -> v3_tops_2(C,A,B)))))))) # label(t26_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7430 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (v2_compts_1(A) & v3_compts_1(B) & k2_pre_topc(B) = k2_relat_1(C) & v5_pre_topc(C,A,B) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(D,A) -> v4_pre_topc(k4_pre_topc(A,B,C,D),B))))))))))) # label(t25_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7431 $T # label(t8_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7432 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) & v2_compts_1(A) -> v6_compts_1(B,A)))))) # label(t17_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7433 (all A (l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_pre_topc(A,B) & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_pre_topc(A,C) & v1_finset_1(C) & r1_tarski(C,B)))) & v1_tops_2(B,A)))) <-> v2_compts_1(A)))) # label(d3_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7434 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_compts_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_compts_1(A,C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_tarski(D,C) & r1_compts_1(A,D,B) & v1_finset_1(D)))) & v1_tops_2(C,A))))))))) # label(d7_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7435 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k1_xboole_0 = B -> (v6_compts_1(B,A) <-> v2_compts_1(k3_pre_topc(A,B)))) & (v2_pre_topc(A) -> k1_xboole_0 = B | (v2_compts_1(k3_pre_topc(A,B)) <-> v6_compts_1(B,A))))))) # label(t12_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7436 (all A ((all B -(r1_tarski(B,A) & k1_xboole_0 = k1_setfam_1(B) & v1_finset_1(B) & k1_xboole_0 != B)) & A != k1_xboole_0 <-> v1_compts_1(A))) # label(d2_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7437 $T # label(t7_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7438 $T # label(t5_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7439 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v2_compts_1(A) & v5_pre_topc(C,A,B) & k2_pre_topc(B) = k2_relat_1(C) -> v2_compts_1(B)))))))) # label(t23_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7440 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(B != k1_xboole_0 & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(k1_xboole_0 != C & r1_tarski(C,B) & v1_finset_1(C) & k6_setfam_1(u1_struct_0(A),C) = k1_xboole_0))) & k1_xboole_0 = k6_setfam_1(u1_struct_0(A),B) & v2_tops_2(B,A)))) <-> v2_compts_1(A)))) # label(t14_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7441 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v6_compts_1(B,A) & v6_compts_1(C,A) -> v6_compts_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t19_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7442 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (l1_pre_topc(C) & -v3_struct_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(C)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(C)) -> (v5_pre_topc(D,A,C) & k2_relat_1(D) = k2_pre_topc(C) & v6_compts_1(B,A) -> v6_compts_1(k4_pre_topc(A,C,D,B),C)))))))))) # label(t24_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7443 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v6_compts_1(B,A) & v4_pre_topc(C,A) & r1_tarski(C,B) -> v6_compts_1(C,A)))))))) # label(t18_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7444 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (v2_compts_1(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(k1_xboole_0 = k6_setfam_1(u1_struct_0(A),B) & v2_tops_2(B,A) & v1_compts_1(B))))))) # label(t13_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7445 $T # label(t2_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7446 (all A (l1_pre_topc(A) -> v6_compts_1(k1_pre_topc(A),A))) # label(t9_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7447 (all A (l1_pre_topc(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -((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) & r1_xboole_0(D,E) & r1_tarski(C,E) & v3_pre_topc(E,A) & v3_pre_topc(D,A)))))) & r2_hidden(B,k3_subset_1(u1_struct_0(A),C)) & v4_pre_topc(C,A) & k1_xboole_0 != C))))) <-> v4_compts_1(A)))) # label(d5_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7448 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,k2_pre_topc(B)) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> v6_compts_1(D,B)))) <-> v6_compts_1(C,A))))))))) # label(t11_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7449 $T # label(t3_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7450 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (v2_compts_1(A) & v3_compts_1(A) -> v5_compts_1(A)))) # label(t22_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7451 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v6_compts_1(B,A) & v6_compts_1(C,A) & v3_compts_1(A) -> v6_compts_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t20_compts_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7452 (all A (v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k2_orders_2(A,B) = a_2_1_orders_2(A,B))))) # label(d13_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7453 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & -v3_struct_0(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> (all C (m2_orders_2(C,A,B) -> r2_hidden(k1_funct_1(B,u1_struct_0(A)),C))))))) # label(t79_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7454 $T # label(t12_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7455 (all A (-v3_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v2_orders_2(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> k3_tarski(k4_orders_2(A,B)) != k1_xboole_0)))) # label(t87_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7456 (all A all B all C (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_orders_2(A) & v3_orders_2(A) -> m1_subset_1(k3_orders_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k3_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7457 $T # label(t105_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7458 $T # label(t53_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7459 $T # label(t126_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7460 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & -v3_struct_0(A) -> -((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A) -> (exists C ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) -> r3_orders_2(A,C,D)))) & m1_subset_1(C,u1_struct_0(A)))))) & (all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & r2_orders_2(A,C,B)))))))) # label(t163_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7461 $T # label(t8_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7462 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(-(k1_xboole_0 = B & C = k1_xboole_0) & m1_orders_2(C,A,B) & m1_orders_2(B,A,C)))))))) # label(t69_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7463 (exists A (v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) & v1_orders_2(A) & -v3_struct_0(A) & l1_orders_2(A))) # label(rc2_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7464 $T # label(t33_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7465 (all A (v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,k1_orders_2(A,k1_struct_0(A,B))) <-> r2_orders_2(A,B,C)))))))) # label(t51_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7466 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r3_orders_1(u1_orders_2(A),B) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A)))))) # label(t135_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7467 (all A (v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & -v3_struct_0(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> m2_orders_2(k3_tarski(k4_orders_2(A,B)),A,B))))) # label(t89_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7468 $T # label(t20_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7469 (all A (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) -> k1_xboole_0 = k1_orders_2(A,k2_pre_topc(A)))) # label(t44_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7470 $T # label(t93_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7471 $T # label(d1_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7472 (all A (-v3_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_orders_1(C,k1_orders_1(u1_struct_0(A))) -> (all D (m2_orders_2(D,A,C) -> (B = k1_funct_1(C,u1_struct_0(A)) -> k1_xboole_0 = k3_orders_2(A,D,B)))))))))) # label(t81_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7473 (all A (v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k3_orders_2(A,C,B),C))))))) # label(t61_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7474 (all A (l1_orders_2(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(r2_orders_2(A,B,C) & r2_orders_2(A,C,B)))))))) # label(t28_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7475 $T # label(t63_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7476 (all A (v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -r2_hidden(B,k1_orders_2(A,k1_struct_0(A,B))))))) # label(t48_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7477 $T # label(t100_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7478 (all A (-v3_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A) -> v3_orders_1(k2_wellord1(u1_orders_2(A),B)))))) # label(t109_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7479 $T # label(t143_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7480 (all A (v2_orders_2(A) & l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(-r1_orders_2(A,C,B) & -r1_orders_2(A,B,C) & (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_hidden(C,D) & r2_hidden(B,D) & v5_orders_2(D,A)))) & -((all D (v5_orders_2(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(B,D) & r2_hidden(C,D)))) & (r1_orders_2(A,C,B) | r1_orders_2(A,B,C))))))))) # label(t38_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7481 $T # label(t41_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7482 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (m1_orders_2(C,A,D) & r2_hidden(B,C) -> k3_orders_2(A,C,B) = k3_orders_2(A,D,B)))))))))) # label(t71_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7483 (all A all B (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_orders_2(A) & v3_orders_2(A) -> m1_subset_1(k1_orders_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k1_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7484 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r7_relat_2(u1_orders_2(A),B) <-> v5_orders_2(B,A)))))) # label(d11_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7485 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r2_wellord1(u1_orders_2(A),B) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A)))))) # label(t40_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7486 $T # label(t133_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7487 $T # label(t102_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7488 $T # label(t76_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7489 (all A (v3_orders_2(A) & l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_orders_2(A,C,D) & r1_orders_2(A,B,C) -> r1_orders_2(A,B,D)))))))))) # label(t26_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7490 $T # label(t75_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7491 $T # label(t132_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7492 (all A (-v3_struct_0(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> (all C (m2_orders_2(C,A,B) -> (all D (m2_orders_2(D,A,B) -> (C != D -> (m1_orders_2(C,A,D) <-> -m1_orders_2(D,A,C))))))))))) # label(t83_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7493 $T # label(t90_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7494 $T # label(t7_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7495 (all A (l1_orders_2(A) -> (v2_orders_2(A) <-> r1_relat_2(u1_orders_2(A),u1_struct_0(A))))) # label(d4_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7496 $T # label(t95_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7497 (all A all B (-v3_struct_0(A) & v3_orders_2(A) & v4_orders_2(A) & m1_orders_1(B,k1_orders_1(u1_struct_0(A))) & l1_orders_2(A) & v2_orders_2(A) -> (exists C m2_orders_2(C,A,B)))) # label(existence_m2_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7498 $T # label(t142_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7499 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(C,A)))))))) # label(t37_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7500 $T # label(t131_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7501 $T # label(t23_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7502 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & -v3_struct_0(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> (all C (m2_orders_2(C,A,B) -> (all D (m2_orders_2(D,A,B) -> -r1_xboole_0(C,D))))))))) # label(t82_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7503 (all A (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (B != k1_xboole_0 -> ((exists D (k3_orders_2(A,B,D) = C & r2_hidden(D,B) & m1_subset_1(D,u1_struct_0(A)))) <-> m1_orders_2(C,A,B))) & (B = k1_xboole_0 -> (m1_orders_2(C,A,B) <-> k1_xboole_0 = C)))))))) # label(d15_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7504 $T # label(t2_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7505 $T # label(t127_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7506 (exists A l1_orders_2(A)) # label(existence_l1_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7507 $T # label(t145_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7508 $T # label(t103_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7509 $T # label(t59_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7510 $T # label(t6_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7511 $T # label(t128_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7512 $T # label(t156_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7513 (all A (-v3_struct_0(A) & l1_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_orders_2(A,B,B))))) # label(t24_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7514 $T # label(t149_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7515 (all A (-v3_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,D) -> r1_tarski(k3_orders_2(A,C,B),k3_orders_2(A,D,B))))))))))) # label(t65_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7516 $T # label(t98_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7517 (all A (v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> ((-r1_orders_2(A,C,B) <-> r2_orders_2(A,B,C)) <-> (exists D (v5_orders_2(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_hidden(B,D) & r2_hidden(C,D)))))))))) # label(t39_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7518 $T # label(d2_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7519 $T # label(t122_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7520 $T # label(t106_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7521 (all A (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (r6_orders_1(u1_orders_2(A),B) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> -r2_orders_2(A,B,C)))))))) # label(t159_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7522 $T # label(t19_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7523 $T # label(t11_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7524 (all A all B (m1_relset_1(B,A,A) -> l1_orders_2(g1_orders_2(A,B)) & v1_orders_2(g1_orders_2(A,B)))) # label(dt_g1_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7525 $T # label(t134_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7526 $T # label(t58_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7527 $T # label(t115_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7528 (all A all B (v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v1_relat_2(B) -> v1_orders_2(g1_orders_2(A,B)) & v2_orders_2(g1_orders_2(A,B)) & v3_orders_2(g1_orders_2(A,B)) & v4_orders_2(g1_orders_2(A,B)))) # label(fc3_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7529 (all A all B (m1_relset_1(B,A,A) & -v1_xboole_0(A) -> -v3_struct_0(g1_orders_2(A,B)) & v1_orders_2(g1_orders_2(A,B)))) # label(fc1_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7530 (all A (v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & -v3_struct_0(A) -> u1_struct_0(A) = k2_orders_2(A,k1_pre_topc(A)))) # label(t45_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7531 $T # label(t101_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7532 $T # label(t139_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7533 (all A all B (v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_orders_2(A) & -v3_struct_0(A) -> (exists C m1_orders_2(C,A,B)))) # label(existence_m1_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7534 $T # label(t144_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7535 $T # label(t124_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7536 (all A (l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_orders_2(C,A,B) -> r1_tarski(C,B))))))) # label(t67_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7537 $T # label(d3_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7538 (all A all B (v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & m1_orders_1(B,k1_orders_1(u1_struct_0(A))) & v3_orders_2(A) & -v3_struct_0(A) -> -v1_xboole_0(k4_orders_2(A,B)))) # label(fc5_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7539 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> (all C (m2_orders_2(C,A,B) -> (all D (m2_orders_2(D,A,B) -> (r2_xboole_0(C,D) <-> m1_orders_2(C,A,D)))))))))) # label(t84_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7540 (all A (-v3_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -r2_hidden(B,k2_orders_2(A,k1_struct_0(A,B))))))) # label(t50_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7541 $T # label(t152_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7542 $T # label(dt_k4_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7543 (all A (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (r8_orders_1(u1_orders_2(A),B) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (C != B -> r2_orders_2(A,C,B))))))))) # label(t160_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7544 (all A (v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_orders_1(D,k1_orders_1(u1_struct_0(A))) -> (all E (m2_orders_2(E,A,D) -> (k1_funct_1(D,u1_struct_0(A)) = C & r2_hidden(B,E) -> r3_orders_2(A,C,B)))))))))))) # label(t80_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7545 (all A (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_orders_2(A,B,C) -> r1_tarski(k3_orders_2(A,D,B),k3_orders_2(A,D,C))))))))))) # label(t64_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7546 $T # label(t148_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7547 $T # label(t1_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7548 $T # label(t141_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7549 $T # label(t104_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7550 $T # label(t111_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.70 7551 (all A (-v3_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(B,C) & r2_wellord1(u1_orders_2(A),C) & -m1_orders_2(B,A,C) & B != C & (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r2_hidden(E,B) & r2_hidden(D,C) & r2_orders_2(A,D,E) -> r2_hidden(D,B))))))))))))) # label(t73_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7552 (all A all B (m1_relset_1(B,A,A) -> (all C all D (g1_orders_2(C,D) = g1_orders_2(A,B) -> C = A & B = D)))) # label(free_g1_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7553 (all A (v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (v5_orders_2(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r3_orders_1(u1_orders_2(A),B))))) # label(t136_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7554 $T # label(t114_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7555 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_orders_2(A,B,C) & C != B <-> r2_orders_2(A,B,C)))))))) # label(d10_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7556 $T # label(t10_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7557 $T # label(t18_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7558 $T # label(t125_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7559 $T # label(t55_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7560 $T # label(t119_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7561 (all A all B (v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_orders_2(A) & -v3_struct_0(A) -> m1_subset_1(k2_orders_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k2_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7562 $T # label(t150_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7563 (all A (-v3_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,D) & r2_orders_2(A,B,C) <-> r2_hidden(B,k3_orders_2(A,D,C))))))))))) # label(t57_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7564 $T # label(t91_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7565 $T # label(t151_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7566 $T # label(t94_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7567 $T # label(t120_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7568 (all A (l1_orders_2(A) -> (r8_relat_2(u1_orders_2(A),u1_struct_0(A)) <-> v3_orders_2(A)))) # label(d5_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7569 (all A (v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> m2_orders_2(k1_tarski(k1_funct_1(B,u1_struct_0(A))),A,B))))) # label(t78_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7570 $T # label(t34_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7571 $T # label(t3_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7572 (all A (l1_orders_2(A) -> m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_u1_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7573 $T # label(t77_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7574 (all A (l1_orders_2(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_orders_2(A,C,B) & r1_orders_2(A,B,C) -> C = B))))))) # label(t25_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7575 (all A (v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_orders_2(A,B,C) & r1_orders_2(A,C,D) | r1_orders_2(A,B,C) & r2_orders_2(A,C,D) -> r2_orders_2(A,B,D)))))))))) # label(t32_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7576 (all A (v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_xboole_0 = k3_orders_2(A,k1_pre_topc(A),B))))) # label(t60_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7577 $T # label(t21_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7578 $T # label(t85_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7579 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & -v3_struct_0(A) -> k2_orders_2(A,k2_pre_topc(A)) = k1_xboole_0)) # label(t46_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7580 (all A (l1_orders_2(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(r1_orders_2(A,B,C) & r2_orders_2(A,C,B)))))))) # label(t30_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7581 $T # label(t86_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7582 (all A (-v3_struct_0(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (r7_orders_1(u1_orders_2(A),B) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> -r2_orders_2(A,C,B)))))))) # label(t158_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7583 $T # label(t110_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7584 $T # label(t4_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7585 $T # label(t146_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7586 $T # label(t117_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7587 $T # label(t140_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7588 $T # label(t157_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7589 $T # label(t15_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7590 (all A all B all C (-v3_struct_0(B) & v3_orders_2(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v4_orders_2(B) & v2_orders_2(B) -> ((exists D (m1_subset_1(D,u1_struct_0(B)) & (all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) -> r2_orders_2(B,E,D)))) & A = D)) <-> r2_hidden(A,a_2_0_orders_2(B,C))))) # label(fraenkel_a_2_0_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7591 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (r1_orders_2(A,B,C) <-> r3_orders_2(A,B,C)))) # label(redefinition_r3_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7592 $T # label(t97_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7593 (all A (-v3_struct_0(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -r2_hidden(B,k3_orders_2(A,C,B)))))))) # label(t62_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7594 (all A (l1_orders_2(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A))))) # label(rc3_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7595 $T # label(t14_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7596 $T # label(t155_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7597 (exists A (v1_orders_2(A) & l1_orders_2(A))) # label(rc1_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7598 $T # label(t137_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7599 (all A (v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & -v3_struct_0(A) -> k1_orders_2(A,k1_pre_topc(A)) = u1_struct_0(A))) # label(t43_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7600 $T # label(t9_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7601 $T # label(t112_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7602 $T # label(t154_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7603 $T # label(t66_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7604 (all A (l1_orders_2(A) -> l1_struct_0(A))) # label(dt_l1_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7605 $T # label(t123_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7606 $T # label(t16_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7607 (all A (v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(C,A) -> (m2_orders_2(C,A,B) <-> k1_xboole_0 != C & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,C) -> k1_funct_1(B,k1_orders_2(A,k3_orders_2(A,C,D))) = D))) & r2_wellord1(u1_orders_2(A),C)))))))) # label(d16_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7608 (all A (v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r2_orders_2(A,B,C) & m1_orders_2(E,A,D) & r2_hidden(C,E) & r2_hidden(B,D) -> r2_hidden(B,E)))))))))))) # label(t70_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7609 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_orders_2(A,B,C) <-> r2_hidden(k4_tarski(B,C),u1_orders_2(A))))))))) # label(d9_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7610 $T # label(t129_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7611 (all A (l1_orders_2(A) -> (v1_orders_2(A) -> A = g1_orders_2(u1_struct_0(A),u1_orders_2(A))))) # label(abstractness_v1_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7612 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(B = k1_xboole_0 & -m1_orders_2(B,A,B)) & -(k1_xboole_0 != B & m1_orders_2(B,A,B)))))) # label(t68_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7613 (all A (v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(-m1_orders_2(B,A,C) & B != C & (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r2_orders_2(A,D,E) & r2_hidden(E,B) -> r2_hidden(D,B)))))) & r2_wellord1(u1_orders_2(A),C) & r1_tarski(B,C)))))))) # label(t72_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7614 $T # label(t42_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7615 $T # label(t5_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7616 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) -> (all B (m1_orders_1(B,k1_orders_1(u1_struct_0(A))) -> (all C (C = k4_orders_2(A,B) <-> (all D (r2_hidden(D,C) <-> m2_orders_2(D,A,B))))))))) # label(d17_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7617 (all A all B all C (v2_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_orders_2(A) & -v3_struct_0(A) -> r3_orders_2(A,B,B))) # label(reflexivity_r3_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7618 (all A (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_orders_2(A,B,C) = k5_subset_1(u1_struct_0(A),k2_orders_2(A,k1_struct_0(A,C)),B))))))) # label(d14_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7619 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(B,k1_orders_2(A,C)) & r2_hidden(B,C)))))))) # label(t47_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7620 $T # label(t17_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7621 (all A (l1_orders_2(A) -> (v4_orders_2(A) <-> r4_relat_2(u1_orders_2(A),u1_struct_0(A))))) # label(d6_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7622 (all A all B all C (l1_orders_2(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) -> -r2_orders_2(A,B,B))) # label(irreflexivity_r2_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7623 $T # label(t92_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7624 $T # label(t96_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7625 (all A (v3_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> B = k3_relat_1(k2_wellord1(u1_orders_2(A),B)))))) # label(t107_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7626 $T # label(t99_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7627 $T # label(t113_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7628 $T # label(t27_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7629 (all A all B all C (-v3_struct_0(B) & l1_orders_2(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v4_orders_2(B) & v3_orders_2(B) & v2_orders_2(B) -> ((exists D ((all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) -> r2_orders_2(B,D,E)))) & D = A & m1_subset_1(D,u1_struct_0(B)))) <-> r2_hidden(A,a_2_1_orders_2(B,C))))) # label(fraenkel_a_2_1_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7630 (all A (v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> a_2_0_orders_2(A,B) = k1_orders_2(A,B))))) # label(d12_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7631 $T # label(t116_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7632 (all A (v2_orders_2(A) & l1_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(k1_struct_0(A,B),A))))) # label(t35_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7633 (all A all B (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_orders_2(A) & v3_orders_2(A) -> (all C (m1_orders_2(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m1_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7634 $T # label(t121_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7635 (all A (-v3_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(B,k2_orders_2(A,k1_struct_0(A,C))) <-> r2_orders_2(A,B,C)))))))) # label(t52_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7636 $T # label(t74_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7637 (all A (-v3_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (r9_orders_1(u1_orders_2(A),B) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (C != B -> r2_orders_2(A,B,C))))))))) # label(t161_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7638 (all A (v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) -> v1_relat_2(u1_orders_2(A)) & v8_relat_2(u1_orders_2(A)) & v1_partfun1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) & v4_relat_2(u1_orders_2(A)) & v1_relat_1(u1_orders_2(A)))) # label(fc2_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7639 $T # label(t147_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7640 (all A (l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_orders_2(A,C,D) & r2_orders_2(A,B,C) -> r2_orders_2(A,B,D)))))))))) # label(t29_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7641 $T # label(t118_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7642 $T # label(t153_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7643 (all A (v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_orders_1(C,k1_orders_1(u1_struct_0(A))) -> (all D (m2_orders_2(D,A,C) -> (k3_tarski(k4_orders_2(A,C)) = B -> D = k3_tarski(k4_orders_2(A,C)) | m1_orders_2(D,A,B)))))))))) # label(t88_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7644 $T # label(t54_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7645 (all A all B (-v3_struct_0(B) & v2_orders_2(B) & l1_orders_2(B) & v4_orders_2(B) & v3_orders_2(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(A,k3_orders_2(B,D,C)) <-> r2_hidden(A,k2_orders_2(B,k1_struct_0(B,C))) & r2_hidden(A,D)))))))) # label(t56_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7646 $T # label(d8_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7647 $T # label(d7_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7648 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_orders_1(k2_wellord1(u1_orders_2(A),B)) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A)))))) # label(t108_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7649 $T # label(t130_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7650 (all A (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) -> -((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(B,A) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) -> r3_orders_2(A,D,C)))))))) & (all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (r2_orders_2(A,B,C) & m1_subset_1(C,u1_struct_0(A))))))))) # label(t162_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7651 $T # label(t31_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7652 (all A all B (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & m1_orders_1(B,k1_orders_1(u1_struct_0(A))) & v3_orders_2(A) -> (all C (m2_orders_2(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v5_orders_2(C,A))))) # label(dt_m2_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7653 (all A (-v3_struct_0(A) & l1_orders_2(A) & v4_orders_2(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(B,k2_orders_2(A,C)) & r2_hidden(B,C)))))))) # label(t49_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7654 $T # label(t13_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7655 $T # label(t22_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7656 $T # label(t138_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7657 (all A (l1_orders_2(A) -> v1_xboole_0(k1_pre_topc(A)) & v2_membered(k1_pre_topc(A)) & v4_membered(k1_pre_topc(A)) & v5_orders_2(k1_pre_topc(A),A) & v5_membered(k1_pre_topc(A)) & v3_membered(k1_pre_topc(A)) & v1_membered(k1_pre_topc(A)))) # label(fc4_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7658 (all A (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r3_orders_2(A,B,C) | r3_orders_2(A,C,B) <-> v5_orders_2(k2_struct_0(A,B,C),A) & m1_subset_1(k2_struct_0(A,B,C),k1_zfmisc_1(u1_struct_0(A)))))))))) # label(t36_orders_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7659 (exists A l1_funcsdom(A)) # label(existence_l1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7660 (all A (l1_funcsdom(A) -> l3_vectsp_1(A) & l2_rlvect_1(A))) # label(dt_l1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7661 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> ((all E (m1_subset_1(E,A) -> k3_real_1(k8_funct_2(A,k1_numbers,C,E),k8_funct_2(A,k1_numbers,D,E)) = k8_funct_2(A,k1_numbers,B,E))) <-> k1_funcsdom(A,k1_numbers,k6_funcsdom(A),C,D) = B))))))))) # label(t10_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7662 $T # label(t3_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7663 $T # label(t47_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7664 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_struct_0(k12_funcsdom(A))) -> (all C (m1_subset_1(C,u1_struct_0(k12_funcsdom(A))) -> (all D (m1_subset_1(D,u1_struct_0(k12_funcsdom(A))) -> k2_rlvect_1(k12_funcsdom(A),B,k1_rlvect_1(k12_funcsdom(A))) = B & (exists E (m1_subset_1(E,u1_struct_0(k12_funcsdom(A))) & k1_rlvect_1(k12_funcsdom(A)) = k2_rlvect_1(k12_funcsdom(A),B,E))) & k1_group_1(k12_funcsdom(A),B,k2_group_1(k12_funcsdom(A))) = B & B = k1_group_1(k12_funcsdom(A),k2_group_1(k12_funcsdom(A)),B) & k1_group_1(k12_funcsdom(A),B,k2_rlvect_1(k12_funcsdom(A),C,D)) = k2_rlvect_1(k12_funcsdom(A),k1_group_1(k12_funcsdom(A),B,C),k1_group_1(k12_funcsdom(A),B,D)) & k1_group_1(k12_funcsdom(A),k2_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),k1_group_1(k12_funcsdom(A),B,C),D) = k1_group_1(k12_funcsdom(A),B,k1_group_1(k12_funcsdom(A),C,D)) & k1_group_1(k12_funcsdom(A),C,B) = k1_group_1(k12_funcsdom(A),B,C) & k2_rlvect_1(k12_funcsdom(A),k2_rlvect_1(k12_funcsdom(A),B,C),D) = k2_rlvect_1(k12_funcsdom(A),B,k2_rlvect_1(k12_funcsdom(A),C,D)) & k2_rlvect_1(k12_funcsdom(A),B,C) = k2_rlvect_1(k12_funcsdom(A),C,B))))))))) # label(t42_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7665 $T # label(d18_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7666 (all A (-v1_xboole_0(A) -> -v3_struct_0(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)) & l1_funcsdom(k13_funcsdom(A)) & v2_funcsdom(k13_funcsdom(A)) & v4_group_1(k13_funcsdom(A)) & v3_rlvect_1(k13_funcsdom(A)))) # label(t50_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7667 (all A all B all C (-v1_xboole_0(C) -> -(A != B & (all D (m2_fraenkel(D,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (all E (m2_fraenkel(E,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (exists F ((all G (m1_subset_1(G,k1_numbers) -> (all H (m1_subset_1(H,k1_numbers) -> k1_funcsdom(C,k1_numbers,k6_funcsdom(C),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),G,D)),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),H,E))) != F)))) & m2_fraenkel(F,C,k1_numbers,k1_fraenkel(C,k1_numbers)))))))) & k2_tarski(A,B) = C))) # label(t32_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7668 $T # label(t1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7669 $T # label(d14_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7670 (exists A (l3_vectsp_1(A) & -v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v6_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A))) # label(rc1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7671 (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]. 188.31/187.71 7672 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(E,B,A) & m1_relset_1(E,B,A) & v1_funct_1(E) & m1_relset_1(D,B,A) & v1_funct_2(D,B,A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & -v1_xboole_0(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]. 188.31/187.71 7673 $T # label(d15_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7674 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(C) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,D),k1_fraenkel(A,B)) & m1_relset_1(E,k2_zfmisc_1(C,D),k1_fraenkel(A,B)) & m1_subset_1(F,k2_zfmisc_1(C,D)) & -v1_xboole_0(D) & -v1_xboole_0(B) -> k1_funct_1(E,F) = k2_funcsdom(A,B,C,D,E,F))) # label(redefinition_k2_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7675 (all A all B all C (m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> m2_fraenkel(k3_funcsdom(A,B,C),A,B,k1_fraenkel(A,B)))) # label(dt_k3_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7676 (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]. 188.31/187.71 7677 (all A (-v1_xboole_0(A) -> v1_funcsdom(k13_funcsdom(A)) & -v3_struct_0(k13_funcsdom(A)))) # label(fc3_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7678 (all A (-v1_xboole_0(A) -> k2_group_1(k12_funcsdom(A)) = k10_funcsdom(A))) # label(t41_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7679 (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) -> (A = E -> np__1 = k1_funct_1(C,E)) & (A != E -> k1_funct_1(C,E) = np__0))) & (all E (r2_hidden(E,B) -> (A = E -> np__0 = k1_funct_1(D,E)) & (E != A -> np__1 = 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]. 188.31/187.71 7680 $T # label(d10_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7681 $T # label(t8_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7682 (all A (-v1_xboole_0(A) -> k12_funcsdom(A) = g3_vectsp_1(k1_fraenkel(A,k1_numbers),k6_funcsdom(A),k7_funcsdom(A),k10_funcsdom(A),k9_funcsdom(A)))) # label(d12_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7683 (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]. 188.31/187.71 7684 (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))) & v6_rlvect_1(g2_rlvect_1(k1_fraenkel(A,k1_numbers),k9_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A))) & l2_rlvect_1(g2_rlvect_1(k1_fraenkel(A,k1_numbers),k9_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A))) & v7_rlvect_1(g2_rlvect_1(k1_fraenkel(A,k1_numbers),k9_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A))) & v5_rlvect_1(g2_rlvect_1(k1_fraenkel(A,k1_numbers),k9_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A))) & v4_rlvect_1(g2_rlvect_1(k1_fraenkel(A,k1_numbers),k9_funcsdom(A),k6_funcsdom(A),k8_funcsdom(A))) & -v3_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]. 188.31/187.71 7685 (exists A (l1_funcsdom(A) & -v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v1_funcsdom(A) & v2_funcsdom(A) & v4_rlvect_1(A) & v3_rlvect_1(A))) # label(rc4_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7686 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_struct_0(k13_funcsdom(A))) -> (all C (m1_subset_1(C,u1_struct_0(k13_funcsdom(A))) -> (all D (m1_subset_1(D,u1_struct_0(k13_funcsdom(A))) -> (all E (m1_subset_1(E,k1_numbers) -> (all F (m1_subset_1(F,k1_numbers) -> k2_rlvect_1(k13_funcsdom(A),B,C) = k2_rlvect_1(k13_funcsdom(A),C,B) & (exists G (m1_subset_1(G,u1_struct_0(k13_funcsdom(A))) & k2_rlvect_1(k13_funcsdom(A),B,G) = k1_rlvect_1(k13_funcsdom(A)))) & k1_group_1(k13_funcsdom(A),B,k1_group_1(k13_funcsdom(A),C,D)) = k1_group_1(k13_funcsdom(A),k1_group_1(k13_funcsdom(A),B,C),D) & B = k1_group_1(k13_funcsdom(A),B,k2_group_1(k13_funcsdom(A))) & k1_group_1(k13_funcsdom(A),B,k2_rlvect_1(k13_funcsdom(A),C,D)) = k2_rlvect_1(k13_funcsdom(A),k1_group_1(k13_funcsdom(A),B,C),k1_group_1(k13_funcsdom(A),B,D)) & k3_rlvect_1(k13_funcsdom(A),k1_group_1(k13_funcsdom(A),B,C),E) = k1_group_1(k13_funcsdom(A),k3_rlvect_1(k13_funcsdom(A),B,E),C) & k2_rlvect_1(k13_funcsdom(A),k3_rlvect_1(k13_funcsdom(A),B,E),k3_rlvect_1(k13_funcsdom(A),B,F)) = k3_rlvect_1(k13_funcsdom(A),B,k3_real_1(E,F)) & k3_rlvect_1(k13_funcsdom(A),k3_rlvect_1(k13_funcsdom(A),B,F),E) = k3_rlvect_1(k13_funcsdom(A),B,k4_real_1(E,F)) & k2_rlvect_1(k13_funcsdom(A),k3_rlvect_1(k13_funcsdom(A),B,E),k3_rlvect_1(k13_funcsdom(A),C,E)) = k3_rlvect_1(k13_funcsdom(A),k2_rlvect_1(k13_funcsdom(A),B,C),E) & k1_group_1(k13_funcsdom(A),B,C) = k1_group_1(k13_funcsdom(A),C,B) & B = k2_rlvect_1(k13_funcsdom(A),B,k1_rlvect_1(k13_funcsdom(A))) & 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)))))))))))))) # label(t49_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7687 $T # label(t7_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7688 (all A (l1_funcsdom(A) -> (v1_funcsdom(A) -> 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))))) # label(abstractness_v1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7689 (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]. 188.31/187.71 7690 (all A (-v1_xboole_0(A) -> k2_funcop_1(A,np__0) = k9_funcsdom(A))) # label(d5_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7691 (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]. 188.31/187.71 7692 (all A (-v1_xboole_0(A) -> v1_funcsdom(k13_funcsdom(A)) & l1_funcsdom(k13_funcsdom(A)))) # label(dt_k13_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7693 $T # label(t36_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7694 (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),C,B) = k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,C))))))) # label(t18_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7695 (all A all B all C all D all E all F (v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(k1_numbers,A),A) & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(E,A) & m1_subset_1(F,A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all G all H all I all J all K all L (g1_funcsdom(A,B,C,D,E,F) = g1_funcsdom(G,H,I,J,K,L) -> D = J & K = E & L = F & I = C & B = H & G = A)))) # label(free_g1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7696 (all A (-v1_xboole_0(A) -> -v3_struct_0(k11_funcsdom(A)) & v3_rlvect_1(k11_funcsdom(A)) & v4_rlvect_1(k11_funcsdom(A)) & v5_rlvect_1(k11_funcsdom(A)) & l2_rlvect_1(k11_funcsdom(A)) & v7_rlvect_1(k11_funcsdom(A)) & v6_rlvect_1(k11_funcsdom(A)) & v2_rlvect_1(k11_funcsdom(A)))) # label(dt_k11_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.71 7697 (exists A (-v3_struct_0(A) & v2_rlvect_1(A) & v3_rlvect_1(A) & (exists B (m1_subset_1(B,u1_struct_0(A)) & (exists C (m1_subset_1(C,u1_struct_0(A)) & (all D (m1_subset_1(D,k1_numbers) -> (all E (m1_subset_1(E,k1_numbers) -> (k1_rlvect_1(A) = k4_rlvect_1(A,k3_rlvect_1(A,B,D),k3_rlvect_1(A,C,E)) -> np__0 = E & D = np__0))))) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (exists E ((exists F (m1_subset_1(F,k1_numbers) & k4_rlvect_1(A,k3_rlvect_1(A,B,E),k3_rlvect_1(A,C,F)) = D)) & m1_subset_1(E,k1_numbers))))))))) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A))) # label(t37_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7698 (all A all B all C all D all E (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k1_fraenkel(A,B),k1_fraenkel(A,B)),k1_fraenkel(A,B)) & m1_subset_1(D,k1_fraenkel(A,B)) & m1_subset_1(E,k1_fraenkel(A,B)) & m1_relset_1(C,k2_zfmisc_1(k1_fraenkel(A,B),k1_fraenkel(A,B)),k1_fraenkel(A,B)) -> k1_binop_1(C,D,E) = k1_funcsdom(A,B,C,D,E))) # label(redefinition_k1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7699 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k1_funcsdom(A,k1_numbers,k6_funcsdom(A),C,B) = k1_funcsdom(A,k1_numbers,k6_funcsdom(A),B,C))))))) # label(t16_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7700 (all A (-v1_xboole_0(A) -> v1_funct_2(k7_funcsdom(A),k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & m2_relset_1(k7_funcsdom(A),k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_1(k7_funcsdom(A)))) # label(dt_k7_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7701 (all A (l1_funcsdom(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,k1_numbers) -> (all F (m1_subset_1(F,k1_numbers) -> k1_group_1(A,B,k2_rlvect_1(A,C,D)) = k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) & 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)) & k3_rlvect_1(A,B,k4_real_1(E,F)) = k3_rlvect_1(A,k3_rlvect_1(A,B,F),E) & k3_rlvect_1(A,B,k3_real_1(E,F)) = k2_rlvect_1(A,k3_rlvect_1(A,B,E),k3_rlvect_1(A,B,F)) & k3_rlvect_1(A,k1_group_1(A,B,C),E) = k1_group_1(A,k3_rlvect_1(A,B,E),C) & k1_group_1(A,B,k2_group_1(A)) = B)))))))))) <-> v2_funcsdom(A)))) # label(d20_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7702 (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_2(D,B,A) & v1_funct_2(E,B,A) & m1_relset_1(E,B,A) & v1_funct_1(E) & m1_relset_1(D,B,A) & v1_funct_1(D) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & -v1_xboole_0(A) -> k4_funcsdom(A,B,C,D,E) = k3_funcop_1(C,D,E))) # label(redefinition_k4_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7703 (all A all B all C (-v1_xboole_0(C) -> (all D (m2_fraenkel(D,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (all E (m2_fraenkel(E,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (r2_hidden(A,C) & (all F (r2_hidden(F,C) -> (F = A -> k1_funct_1(E,F) = np__0) & (F != A -> k1_funct_1(E,F) = np__1))) & (all F (r2_hidden(F,C) -> (F = A -> k1_funct_1(D,F) = np__1) & (F != A -> np__0 = k1_funct_1(D,F)))) & r2_hidden(B,C) -> (all F (m1_subset_1(F,k1_numbers) -> (all G (m1_subset_1(G,k1_numbers) -> (k9_funcsdom(C) = k1_funcsdom(C,k1_numbers,k6_funcsdom(C),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),F,D)),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),G,E))) -> F = np__0 & np__0 = G))))) | B = A))))))) # label(t29_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7704 (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]. 188.31/187.72 7705 (all A all B all C (-v1_xboole_0(C) -> (all D (m2_fraenkel(D,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (all E (m2_fraenkel(E,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (k2_tarski(A,B) = C & (all F (r2_hidden(F,C) -> (F = A -> np__1 = k1_funct_1(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) & (A != F -> np__1 = k1_funct_1(E,F)))) -> (all F (m2_fraenkel(F,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (exists G ((exists H (m1_subset_1(H,k1_numbers) & k1_funcsdom(C,k1_numbers,k6_funcsdom(C),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),G,D)),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),H,E))) = F)) & m1_subset_1(G,k1_numbers))))) | A = B))))))) # label(t31_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7706 $T # label(t39_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7707 (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(D,k1_fraenkel(A,B)) & m1_subset_1(E,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) -> 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]. 188.31/187.72 7708 (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) -> k3_funcsdom(A,B,C) = C)))))) # label(d1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7709 (all A all B all C all D all E (m1_relset_1(C,k2_zfmisc_1(A,A),A) & m1_subset_1(D,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) & v1_funct_1(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> m2_fraenkel(k5_funcsdom(A,B,C,D,E),B,A,k1_fraenkel(B,A)))) # label(dt_k5_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7710 (exists A (l1_funcsdom(A) & v1_funcsdom(A))) # label(rc2_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7711 $T # label(t38_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7712 $T # label(d13_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7713 $T # label(t4_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7714 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k1_funcsdom(A,k1_numbers,k7_funcsdom(A),k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,C),D) = k1_funcsdom(A,k1_numbers,k7_funcsdom(A),B,k1_funcsdom(A,k1_numbers,k7_funcsdom(A),C,D)))))))))) # label(t19_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7715 (all A (-v1_xboole_0(A) -> v6_vectsp_1(k12_funcsdom(A)) & v8_vectsp_1(k12_funcsdom(A)) & v3_vectsp_1(k12_funcsdom(A)) & v2_group_1(k12_funcsdom(A)) & -v3_struct_0(k12_funcsdom(A)))) # label(fc2_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7716 (all A (-v1_xboole_0(A) -> v3_rlvect_1(k12_funcsdom(A)) & v4_rlvect_1(k12_funcsdom(A)) & v4_group_1(k12_funcsdom(A)) & v7_group_1(k12_funcsdom(A)) & v6_vectsp_1(k12_funcsdom(A)) & v8_vectsp_1(k12_funcsdom(A)) & l3_vectsp_1(k12_funcsdom(A)) & v7_vectsp_1(k12_funcsdom(A)) & v6_rlvect_1(k12_funcsdom(A)) & v5_rlvect_1(k12_funcsdom(A)) & -v3_struct_0(k12_funcsdom(A)))) # label(t43_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7717 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(k1_numbers,k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_2(B,k2_zfmisc_1(k1_numbers,k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) -> (B = k8_funcsdom(A) <-> (all C (m1_subset_1(C,k1_numbers) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all E (m1_subset_1(E,A) -> k4_real_1(C,k8_funct_2(A,k1_numbers,D,E)) = k8_funct_2(A,k1_numbers,k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),B,k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),C,D)),E)))))))))))) # label(d4_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7718 (all A (-v1_xboole_0(A) -> v1_funct_1(k8_funcsdom(A)) & m2_relset_1(k8_funcsdom(A),k2_zfmisc_1(k1_numbers,k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_2(k8_funcsdom(A),k2_zfmisc_1(k1_numbers,k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)))) # label(dt_k8_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7719 (all A (-v1_xboole_0(A) -> k2_group_1(k13_funcsdom(A)) = k10_funcsdom(A))) # label(t44_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7720 $T # label(t40_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7721 (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]. 188.31/187.72 7722 $T # label(t2_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7723 (all A all B all C (-v1_xboole_0(C) -> -(B != A & (all D (m2_fraenkel(D,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (all E (m2_fraenkel(E,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> -((all F (m2_fraenkel(F,C,k1_numbers,k1_fraenkel(C,k1_numbers)) -> (exists G (m1_subset_1(G,k1_numbers) & (exists H (m1_subset_1(H,k1_numbers) & 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)))))) & (all F (m1_subset_1(F,k1_numbers) -> (all G (m1_subset_1(G,k1_numbers) -> (k1_funcsdom(C,k1_numbers,k6_funcsdom(C),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),F,D)),k2_funcsdom(C,k1_numbers,k1_numbers,k1_fraenkel(C,k1_numbers),k8_funcsdom(C),k1_domain_1(k1_numbers,k1_fraenkel(C,k1_numbers),G,E))) = k9_funcsdom(C) -> F = np__0 & np__0 = G)))))))))) & k2_tarski(A,B) = C))) # label(t33_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7724 (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]. 188.31/187.72 7725 (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) -> (k7_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,k35_binop_2,C,D)))))))))) # label(d3_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7726 $T # label(t46_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7727 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(D) & v1_funct_2(E,k2_zfmisc_1(C,D),k1_fraenkel(A,B)) & m1_relset_1(E,k2_zfmisc_1(C,D),k1_fraenkel(A,B)) & m1_subset_1(F,k2_zfmisc_1(C,D)) & v1_funct_1(E) & -v1_xboole_0(C) & -v1_xboole_0(B) -> 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]. 188.31/187.72 7728 (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]. 188.31/187.72 7729 $T # label(t48_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7730 (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]. 188.31/187.72 7731 $T # label(d17_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7732 (all A (-v1_xboole_0(A) -> k10_funcsdom(A) = k2_funcop_1(A,np__1))) # label(d6_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7733 $T # label(t5_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7734 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m1_subset_1(D,k1_numbers) -> (k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),D,C)) = B <-> (all E (m1_subset_1(E,A) -> k4_real_1(D,k8_funct_2(A,k1_numbers,C,E)) = k8_funct_2(A,k1_numbers,B,E)))))))))))) # label(t15_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7735 (all A (-v1_xboole_0(A) -> (all B (m2_fraenkel(B,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k9_funcsdom(A) = k1_funcsdom(A,k1_numbers,k6_funcsdom(A),B,k2_funcsdom(A,k1_numbers,k1_numbers,k1_fraenkel(A,k1_numbers),k8_funcsdom(A),k1_domain_1(k1_numbers,k1_fraenkel(A,k1_numbers),k1_real_1(np__1),B))))))) # label(t22_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7736 $T # label(d16_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7737 $T # label(d11_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7738 (exists A (l1_funcsdom(A) & -v3_struct_0(A))) # label(rc3_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7739 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & m2_relset_1(B,k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) -> ((all C (m2_fraenkel(C,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> (all D (m2_fraenkel(D,A,k1_numbers,k1_fraenkel(A,k1_numbers)) -> k4_funcsdom(k1_numbers,A,k33_binop_2,C,D) = k1_funcsdom(A,k1_numbers,B,C,D))))) <-> B = k6_funcsdom(A)))))) # label(d2_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7740 (all A all B all C all D all E (-v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & m1_subset_1(D,A) & m1_relset_1(E,B,A) & v1_funct_2(E,B,A) & v1_funct_1(E) & -v1_xboole_0(B) -> k5_funcsdom(A,B,C,D,E) = k5_funcop_1(C,D,E))) # label(redefinition_k5_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7741 (all A (-v1_xboole_0(A) -> v1_funct_2(k6_funcsdom(A),k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & m2_relset_1(k6_funcsdom(A),k2_zfmisc_1(k1_fraenkel(A,k1_numbers),k1_fraenkel(A,k1_numbers)),k1_fraenkel(A,k1_numbers)) & v1_funct_1(k6_funcsdom(A)))) # label(dt_k6_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7742 $T # label(t6_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7743 (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 (m1_subset_1(F,k1_numbers) & (exists G (-(np__0 = F & G = np__0) & 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) & m1_subset_1(G,k1_numbers))))))))) & r2_hidden(B,C)))) # label(t30_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7744 (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]. 188.31/187.72 7745 (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]. 188.31/187.72 7746 $T # label(t9_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7747 $T # label(t45_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7748 $T # label(d9_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7749 $T # label(d8_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7750 (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]. 188.31/187.72 7751 (all A (-v1_xboole_0(A) -> v1_funcsdom(k13_funcsdom(A)) & v8_vectsp_1(k13_funcsdom(A)) & v6_vectsp_1(k13_funcsdom(A)) & v2_group_1(k13_funcsdom(A)) & -v3_struct_0(k13_funcsdom(A)))) # label(fc4_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7752 (all A (-v1_xboole_0(A) -> v3_vectsp_1(k12_funcsdom(A)) & -v3_struct_0(k12_funcsdom(A)))) # label(fc1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7753 (all A (-v1_xboole_0(A) -> l3_vectsp_1(k12_funcsdom(A)) & v3_vectsp_1(k12_funcsdom(A)))) # label(dt_k12_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7754 (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]. 188.31/187.72 7755 (all A (-v1_xboole_0(A) -> k9_funcsdom(A) != k10_funcsdom(A))) # label(t14_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7756 (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)) -> ((all E (m1_subset_1(E,A) -> k4_real_1(k8_funct_2(A,k1_numbers,C,E),k8_funct_2(A,k1_numbers,D,E)) = k8_funct_2(A,k1_numbers,B,E))) <-> B = k1_funcsdom(A,k1_numbers,k7_funcsdom(A),C,D)))))))))) # label(t11_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7757 (all A all B all C all D all E all F (m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(D,k2_zfmisc_1(k1_numbers,A),A) & m1_subset_1(E,A) & m1_subset_1(F,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_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> v1_funcsdom(g1_funcsdom(A,B,C,D,E,F)) & l1_funcsdom(g1_funcsdom(A,B,C,D,E,F)))) # label(dt_g1_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7758 $T # label(t35_funcsdom) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7759 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) -> (all B (m2_rlvect_2(B,A,k1_subset_1(u1_struct_0(A))) -> k1_rlvect_1(A) = k13_rlvect_2(A,B))))) # label(t49_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7760 (all A all B (l1_rlvect_1(A) & m1_rlvect_2(B,A) & -v3_struct_0(A) -> m1_subset_1(k10_rlvect_2(A,B),k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(k10_rlvect_2(A,B)))) # label(dt_k10_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7761 $T # label(t32_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7762 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & m1_rlvect_2(B,A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> m1_rlvect_2(k16_rlvect_2(A,B),A))) # label(dt_k16_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7763 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) -> k6_rlvect_2(A,k4_rlvect_2(A,C,B)) = k6_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,k3_rlvect_2(A,C,B))))))))) # label(t22_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7764 (all A (-v3_struct_0(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> k15_rlvect_2(A,k1_real_1(np__1),B) = k16_rlvect_2(A,B))))) # label(d14_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7765 $T # label(t1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7766 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) & l1_struct_0(A) -> B = k2_rlvect_2(A,B,B))) # label(idempotence_k2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7767 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> k10_rlvect_2(A,k16_rlvect_2(A,B)) = k10_rlvect_2(A,B))))) # label(t75_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7768 $T # label(t84_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7769 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> ((all E (m1_subset_1(E,u1_struct_0(A)) -> k3_real_1(k8_funct_2(u1_struct_0(A),k1_numbers,B,E),k8_funct_2(u1_struct_0(A),k1_numbers,C,E)) = k8_funct_2(u1_struct_0(A),k1_numbers,D,E))) <-> k14_rlvect_2(A,B,C) = D))))))))) # label(d12_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7770 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> (r1_rlvect_2(A,k14_rlvect_2(A,B,C),k11_rlvect_2(A)) -> r1_rlvect_2(A,C,k16_rlvect_2(A,B))))))))) # label(t74_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7771 $T # label(t13_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7772 $T # label(t36_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7773 (all A all B (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & m1_subset_1(B,k18_rlvect_2(A)) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> m1_rlvect_2(k19_rlvect_2(A,B),A))) # label(dt_k19_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7774 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> k20_rlvect_2(A,B) = B)))) # label(d18_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7775 (all A (v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> u2_rlvect_1(k23_rlvect_2(A)) = k22_rlvect_2(A))) # label(t95_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7776 (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_zfmisc_1(u1_struct_0(A))) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> (m2_rlvect_2(D,A,B) & m2_rlvect_2(C,A,B) -> m2_rlvect_2(k17_rlvect_2(A,C,D),A,B)))))))))) # label(t81_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7777 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_rlvect_2(C,A) -> k3_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),C),B) = k15_rlvect_2(A,B,C))))))) # label(t97_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7778 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (C != B -> (all D (m2_rlvect_2(D,A,k8_rlvect_2(A,B,C)) -> k13_rlvect_2(A,D) = k4_rlvect_1(A,k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,D,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,D,C)))))))))))) # label(t51_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7779 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> r1_rlvect_2(A,k14_rlvect_2(A,B,k14_rlvect_2(A,C,D)),k14_rlvect_2(A,k14_rlvect_2(A,B,C),D)))))))))) # label(t61_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7780 $T # label(t25_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7781 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (k18_rlvect_2(A) = B <-> (all C (r2_hidden(C,B) <-> m1_rlvect_2(C,A))))))) # label(d16_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7782 (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 (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k6_rlvect_1(A,k6_rlvect_2(A,k2_rlvect_2(A,C,B)),k6_rlvect_2(A,B)) = k6_rlvect_2(A,k4_rlvect_2(A,C,B)))))))) # label(t21_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7783 (all A all B all C (l1_struct_0(A) & v1_finset_1(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k3_rlvect_2(A,C,B) = k3_rlvect_2(A,B,C))) # label(commutativity_k3_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7784 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m2_relset_1(C,u1_struct_0(A),k1_numbers) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (k3_finseq_1(D) = k3_finseq_1(B) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k1_relat_1(D)) -> k1_funct_1(D,E) = k3_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),k8_funct_2(u1_struct_0(A),k1_numbers,C,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E)))))) <-> D = k12_rlvect_2(A,B,C)))))))))) # label(d9_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7785 (all A (v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> r1_rlvect_2(A,k15_rlvect_2(A,np__0,B),k11_rlvect_2(A)))))) # label(t66_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7786 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (np__0 = k8_funct_2(u1_struct_0(A),k1_numbers,B,C) <-> -r2_hidden(C,k10_rlvect_2(A,B))))))))) # label(t28_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7787 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_funct_2(C,u1_struct_0(A),k1_numbers) & m2_relset_1(C,u1_struct_0(A),k1_numbers) & v1_funct_1(C) -> k12_rlvect_2(A,k12_finseq_1(u1_struct_0(A),B),C) = k12_finseq_1(u1_struct_0(A),k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B))))))))) # label(t42_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7788 (all A (l1_struct_0(A) -> (all B (r1_rlvect_1(A,B) -> k1_rlvect_2(A,B) = B)))) # label(d1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7789 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_rlvect_2(C,A) -> (m2_rlvect_2(C,A,B) -> m2_rlvect_2(k16_rlvect_2(A,C),A,B)))))))) # label(t76_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7790 (all A all B all C (l1_struct_0(A) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> v1_finset_1(k4_rlvect_2(A,B,C)) & m1_subset_1(k4_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k4_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7791 $T # label(d2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7792 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> r1_tarski(k10_rlvect_2(A,k17_rlvect_2(A,B,C)),k2_rlvect_2(A,k10_rlvect_2(A,B),k10_rlvect_2(A,C))))))))) # label(t80_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7793 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m2_relset_1(B,u1_struct_0(A),k1_numbers) & v1_funct_2(B,u1_struct_0(A),k1_numbers) & v1_funct_1(B) -> k6_finseq_1(u1_struct_0(A)) = k12_rlvect_2(A,k6_finseq_1(u1_struct_0(A)),B))))) # label(t41_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7794 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> -v1_xboole_0(k18_rlvect_2(A)))) # label(fc1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7795 $T # label(t39_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7796 $T # label(t72_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7797 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (k3_finseq_1(C) = k3_finseq_1(D) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k1_relat_1(C)) -> k3_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),C,E),B) = k1_funct_1(D,E)))) -> k3_rlvect_1(A,k9_rlvect_1(A,C),B) = k9_rlvect_1(A,D)))))))))) # label(t5_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7798 (all A all B (l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> m1_subset_1(k7_rlvect_2(A,B),k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(k7_rlvect_2(A,B)))) # label(dt_k7_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7799 (all A (v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k6_rlvect_1(A,k4_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,B)),k6_rlvect_2(A,k3_rlvect_2(A,C,B))) = k6_rlvect_2(A,k2_rlvect_2(A,C,B)))))))) # label(t19_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7800 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m2_finseq_1(D,u1_struct_0(B)) -> (all E (v1_funct_2(E,u1_struct_0(B),k1_numbers) & m2_relset_1(E,u1_struct_0(B),k1_numbers) & v1_funct_1(E) -> (r2_hidden(A,k1_relat_1(D)) & k1_funct_1(D,A) = C -> k3_rlvect_1(B,C,k8_funct_2(u1_struct_0(B),k1_numbers,E,C)) = k1_funct_1(k12_rlvect_2(B,D,E),A)))))))))))) # label(t40_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7801 (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)) -> k2_tarski(B,C) = k8_rlvect_2(A,B,C))) # label(redefinition_k8_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7802 (all A all B (l1_struct_0(A) -> m1_subset_1(k1_rlvect_2(A,B),u1_struct_0(A)))) # label(dt_k1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7803 (all A (-v3_struct_0(A) & l2_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),k1_numbers,k1_fraenkel(u1_struct_0(A),k1_numbers)) -> (m1_rlvect_2(B,A) <-> (exists C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (-r2_hidden(D,C) -> np__0 = k8_funct_2(u1_struct_0(A),k1_numbers,B,D)))) & v1_finset_1(C)))))))) # label(d5_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7804 $T # label(t85_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7805 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlvect_2(C,A) -> (k7_rlvect_2(A,B) = k10_rlvect_2(A,C) -> k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B)) = k13_rlvect_2(A,C)))))))) # label(t53_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7806 (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_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> ((all E (m1_subset_1(E,u1_struct_0(A)) -> k4_real_1(B,k8_funct_2(u1_struct_0(A),k1_numbers,C,E)) = k8_funct_2(u1_struct_0(A),k1_numbers,D,E))) <-> D = k15_rlvect_2(A,B,C)))))))))) # label(d13_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7807 (all A (l1_struct_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) & v1_funct_1(B) & v1_finset_1(B) & v1_membered(B) & v2_membered(B) & v3_membered(B) & v4_membered(B) & v5_membered(B))))) # label(rc1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7808 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> v4_rlvect_1(k23_rlvect_2(A)) & v5_rlvect_1(k23_rlvect_2(A)) & v6_rlvect_1(k23_rlvect_2(A)) & v7_rlvect_1(k23_rlvect_2(A)) & l2_rlvect_1(k23_rlvect_2(A)) & v3_rlvect_1(k23_rlvect_2(A)) & -v3_struct_0(k23_rlvect_2(A)))) # label(dt_k23_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7809 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> k6_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),B),k1_rlvect_2(k23_rlvect_2(A),C)) = k17_rlvect_2(A,B,C))))))) # label(t99_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7810 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_rlvect_2(D,A) -> (m2_rlvect_2(D,A,C) -> m2_rlvect_2(k15_rlvect_2(A,B,D),A,C)))))))))) # label(t67_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7811 (all A all B all C all D (l1_struct_0(A) & m1_subset_1(D,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> v1_finset_1(k9_rlvect_2(A,B,C,D)) & m1_subset_1(k9_rlvect_2(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k9_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7812 (all A (-v3_struct_0(A) & l2_struct_0(A) -> (exists B m1_rlvect_2(B,A)))) # label(existence_m1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.72 7813 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> v2_rlvect_1(k24_rlvect_2(A,B)) & m1_rlsub_1(k24_rlvect_2(A,B),k23_rlvect_2(A)))) # label(dt_k24_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7814 $T # label(t88_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7815 (all A all B (l1_rlvect_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v3_struct_0(A) -> (exists C m2_rlvect_2(C,A,B)))) # label(existence_m2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7816 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (v2_rlvect_1(C) & m1_rlsub_1(C,k23_rlvect_2(A)) -> (k24_rlvect_2(A,B) = C <-> u1_struct_0(C) = a_2_1_rlvect_2(A,B)))))))) # label(d22_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7817 (all A all B all C (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_struct_0(A) -> k5_rlvect_2(A,B,C) = k5_rlvect_2(A,C,B))) # label(commutativity_k5_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7818 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> k16_rlvect_2(A,B) = k5_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),B)))))) # label(t98_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7819 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) -> (r1_xboole_0(C,B) -> k4_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,B)) = k6_rlvect_2(A,k2_rlvect_2(A,C,B))))))))) # label(t18_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7820 (all A all B all C (v1_finset_1(B) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_struct_0(A) -> k3_xboole_0(B,C) = k3_rlvect_2(A,B,C))) # label(redefinition_k3_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7821 (all A (v3_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (v3_funct_2(D,k1_relat_1(B),k1_relat_1(B)) & m2_relset_1(D,k1_relat_1(B),k1_relat_1(B)) & v1_funct_2(D,k1_relat_1(B),k1_relat_1(B)) & v1_funct_1(D) -> (k5_relat_1(D,B) = C -> k9_rlvect_1(A,B) = k9_rlvect_1(A,C)))))))))) # label(t9_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7822 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & -v3_struct_0(A) -> u1_rlvect_1(k23_rlvect_2(A)) = k21_rlvect_2(A))) # label(t94_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7823 (all A all B all C (l1_struct_0(A) & v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k4_rlvect_2(A,B,C) = k4_xboole_0(B,C))) # label(redefinition_k4_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7824 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & m1_rlvect_2(B,A) & l2_rlvect_1(A) & v5_rlvect_1(A) -> m1_subset_1(k13_rlvect_2(A,B),u1_struct_0(A)))) # label(dt_k13_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7825 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_rlvect_2(C,A) -> (B != np__0 -> k10_rlvect_2(A,C) = k10_rlvect_2(A,k15_rlvect_2(A,B,C))))))))) # label(t65_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7826 $T # label(d3_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7827 (all A all B all C (l1_struct_0(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> m1_subset_1(k2_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(k2_rlvect_2(A,B,C)))) # label(dt_k2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7828 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> m1_rlvect_2(k11_rlvect_2(A),A))) # label(dt_k11_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7829 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m2_rlvect_2(D,A,B) -> (r1_tarski(B,C) -> m2_rlvect_2(D,A,C)))))))))) # label(t33_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7830 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> r1_rlvect_2(A,k17_rlvect_2(A,B,B),k11_rlvect_2(A)))))) # label(t82_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7831 (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,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k6_rlvect_1(A,k4_rlvect_1(A,k6_rlvect_2(A,C),k6_rlvect_2(A,B)),k6_rlvect_2(A,k2_rlvect_2(A,C,B))) = k6_rlvect_2(A,k3_rlvect_2(A,C,B)))))))) # label(t20_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7832 (all A (v3_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> r1_rlvect_2(A,k15_rlvect_2(A,B,k14_rlvect_2(A,C,D)),k14_rlvect_2(A,k15_rlvect_2(A,B,C),k15_rlvect_2(A,B,D))))))))))) # label(t69_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7833 (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)) -> -(C != B & C != D & k4_rlvect_1(A,k4_rlvect_1(A,B,C),D) != k6_rlvect_2(A,k9_rlvect_2(A,B,C,D)) & D != B))))))))) # label(t17_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7834 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_rlvect_2(C,A) -> (m2_rlvect_2(C,A,B) <-> r1_tarski(k10_rlvect_2(A,C),B)))))))) # label(d8_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7835 (all A all B all C (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_struct_0(A) -> k2_rlvect_2(A,B,C) = k2_xboole_0(B,C))) # label(redefinition_k2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7836 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A)) & v1_funct_2(B,k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A)) & v1_funct_1(B) -> ((all C (m1_subset_1(C,k18_rlvect_2(A)) -> (all D (m1_subset_1(D,k18_rlvect_2(A)) -> k2_binop_1(k18_rlvect_2(A),k18_rlvect_2(A),k18_rlvect_2(A),B,C,D) = k14_rlvect_2(A,k19_rlvect_2(A,C),k19_rlvect_2(A,D)))))) <-> k21_rlvect_2(A) = B))))) # label(d19_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7837 $T # label(t10_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7838 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (k10_rlvect_2(A,B) = k1_xboole_0 -> k1_rlvect_1(A) = k13_rlvect_2(A,B)))))) # label(t52_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7839 $T # label(t31_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7840 $T # label(t46_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7841 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> (B = k11_rlvect_2(A) <-> k10_rlvect_2(A,B) = k1_xboole_0))))) # label(d7_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7842 (all A all B all C all D (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(A)) -> k9_rlvect_2(A,B,C,D) = k1_enumset1(B,C,D))) # label(redefinition_k9_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7843 $T # label(t64_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7844 (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)) -> B = k6_rlvect_2(A,k7_rlvect_2(A,B)))))) # label(t15_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7845 (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(k8_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(k8_rlvect_2(A,B,C)))) # label(dt_k8_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7846 $T # label(t55_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7847 $T # label(t27_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7848 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> ((exists D (m2_finseq_1(D,u1_struct_0(A)) & v2_funct_1(D) & C = k9_rlvect_1(A,k12_rlvect_2(A,D,B)) & k2_relat_1(D) = k10_rlvect_2(A,B))) <-> C = k13_rlvect_2(A,B)))))))) # label(d10_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7849 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> k13_rlvect_2(A,k11_rlvect_2(A)) = k1_rlvect_1(A))) # label(t48_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7850 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_rlsub_1(B,A) & B != k1_xboole_0 <-> (all C (m2_rlvect_2(C,A,B) -> r2_hidden(k13_rlvect_2(A,C),B)))))))) # label(t47_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7851 $T # label(t87_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7852 (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 (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) -> k6_rlvect_2(A,k5_rlvect_2(A,C,B)) = k6_rlvect_1(A,k6_rlvect_2(A,k2_rlvect_2(A,C,B)),k6_rlvect_2(A,k3_rlvect_2(A,C,B))))))))) # label(t23_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7853 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlvect_2(C,A) -> k8_funct_2(u1_struct_0(A),k1_numbers,k16_rlvect_2(A,C),B) = k1_real_1(k8_funct_2(u1_struct_0(A),k1_numbers,C,B)))))))) # label(t73_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7854 (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_rlvect_2(B,A) -> r1_rlvect_2(A,k14_rlvect_2(A,k11_rlvect_2(A),B),B) & r1_rlvect_2(A,k14_rlvect_2(A,B,k11_rlvect_2(A)),B))))) # label(t62_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7855 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),k1_numbers,k11_rlvect_2(A),B) = np__0)))) # label(t30_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7856 (all A (l2_struct_0(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> m2_fraenkel(B,u1_struct_0(A),k1_numbers,k1_fraenkel(u1_struct_0(A),k1_numbers)))))) # label(dt_m1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7857 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rlvect_2(D,A) -> (k10_rlvect_2(A,D) = k8_rlvect_2(A,B,C) -> C = B | k13_rlvect_2(A,D) = k4_rlvect_1(A,k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,D,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,D,C)))))))))))) # label(t54_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7858 (all A (v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> r1_rlvect_2(A,k15_rlvect_2(A,np__1,B),B))))) # label(t71_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7859 $T # label(t83_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7860 (all A (v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlvect_2(D,A) -> r1_rlvect_2(A,k15_rlvect_2(A,k3_real_1(B,C),D),k14_rlvect_2(A,k15_rlvect_2(A,B,D),k15_rlvect_2(A,C,D))))))))))) # label(t68_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7861 $T # label(t63_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7862 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> v1_funct_2(k21_rlvect_2(A),k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A)) & m2_relset_1(k21_rlvect_2(A),k2_zfmisc_1(k18_rlvect_2(A),k18_rlvect_2(A)),k18_rlvect_2(A)) & v1_funct_1(k21_rlvect_2(A)))) # label(dt_k21_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7863 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> ((all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k1_relat_1(B)) -> k1_funct_1(D,E) = k4_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),k4_finseq_4(k5_numbers,u1_struct_0(A),C,E))))) & k3_finseq_1(B) = k3_finseq_1(D) & k3_finseq_1(C) = k3_finseq_1(B) -> k9_rlvect_1(A,D) = k4_rlvect_1(A,k9_rlvect_1(A,B),k9_rlvect_1(A,C))))))))))) # label(t4_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7864 (all A (-v3_struct_0(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> k8_funct_2(u1_struct_0(A),k1_numbers,k17_rlvect_2(A,C,D),B) = k5_real_1(k8_funct_2(u1_struct_0(A),k1_numbers,C,B),k8_funct_2(u1_struct_0(A),k1_numbers,D,B)))))))))) # label(t79_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7865 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (exists B (v1_finset_1(B) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7866 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> ((exists D (C = k9_rlvect_1(A,D) & v2_funct_1(D) & k2_relat_1(D) = B & m2_finseq_1(D,u1_struct_0(A)))) <-> k6_rlvect_2(A,B) = C)))))))) # label(d4_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7867 $T # label(t37_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7868 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_struct_0(A) & -v3_struct_0(A) -> k8_rlvect_2(A,B,C) = k8_rlvect_2(A,C,B))) # label(commutativity_k8_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7869 $T # label(t90_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7870 $T # label(t26_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7871 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> r1_tarski(k10_rlvect_2(A,k14_rlvect_2(A,B,C)),k2_rlvect_2(A,k10_rlvect_2(A,B),k10_rlvect_2(A,C))))))))) # label(t58_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7872 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & m1_rlvect_2(C,A) & m1_subset_1(B,k1_numbers) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> m1_rlvect_2(k15_rlvect_2(A,B,C),A))) # label(dt_k15_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7873 (all A all B all C (-v3_struct_0(A) & m1_rlvect_2(C,A) & m1_rlvect_2(B,A) & l1_rlvect_1(A) -> (r1_rlvect_2(A,B,C) -> r1_rlvect_2(A,C,B)))) # label(symmetry_r1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7874 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m2_rlvect_2(k11_rlvect_2(A),A,B))))) # label(t34_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7875 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_rlvect_2(C,A) -> (all D (m1_rlvect_2(D,A) -> (m2_rlvect_2(C,A,B) & m2_rlvect_2(D,A,B) -> m2_rlvect_2(k14_rlvect_2(A,C,D),A,B)))))))))) # label(t59_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7876 $T # label(t45_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7877 (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_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> k14_rlvect_2(A,B,k16_rlvect_2(A,C)) = k17_rlvect_2(A,B,C))))))) # label(d15_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7878 (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 (v1_funct_2(B,k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A)) & m2_relset_1(B,k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A)) & v1_funct_1(B) -> ((all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,k18_rlvect_2(A)) -> k1_funct_1(B,k4_tarski(C,D)) = k15_rlvect_2(A,C,k19_rlvect_2(A,D)))))) <-> B = k22_rlvect_2(A)))))) # label(d20_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7879 $T # label(dt_k18_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7880 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_rlvect_2(D,A) -> r1_rlvect_2(A,k15_rlvect_2(A,B,k15_rlvect_2(A,C,D)),k15_rlvect_2(A,k4_real_1(B,C),D)))))))))) # label(t70_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7881 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (B != C -> k6_rlvect_2(A,k8_rlvect_2(A,B,C)) = k4_rlvect_1(A,B,C)))))))) # label(t16_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7882 (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 (m2_rlvect_2(B,A,k1_subset_1(u1_struct_0(A))) -> k11_rlvect_2(A) = B)))) # label(t35_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7883 (all A (-v3_struct_0(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> k6_rlvect_2(A,k1_pre_topc(A)) = k1_rlvect_1(A))) # label(t14_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7884 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> a_2_0_rlvect_2(A,B) = k10_rlvect_2(A,B))))) # label(d6_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7885 $T # label(t57_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7886 (all A all B all C (l1_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & v1_finset_1(B) -> v1_finset_1(k5_rlvect_2(A,B,C)) & m1_subset_1(k5_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k5_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7887 $T # label(t2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7888 $T # label(t11_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7889 (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 (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> ((all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k1_relat_1(B)) -> k5_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,D)) = k1_funct_1(C,D)))) & k3_finseq_1(B) = k3_finseq_1(C) -> k9_rlvect_1(A,C) = k5_rlvect_1(A,k9_rlvect_1(A,B))))))))) # label(t6_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7890 $T # label(t89_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7891 (all A all B all C (l1_struct_0(A) & v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> B = k3_rlvect_2(A,B,B))) # label(idempotence_k3_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7892 (all A all B all C (l1_rlvect_1(A) & m1_rlvect_2(C,A) & m1_rlvect_2(B,A) & -v3_struct_0(A) -> m1_rlvect_2(k14_rlvect_2(A,B,C),A))) # label(dt_k14_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7893 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> -v3_struct_0(k23_rlvect_2(A)) & v2_rlvect_1(k23_rlvect_2(A)) & v4_rlvect_1(k23_rlvect_2(A)) & v5_rlvect_1(k23_rlvect_2(A)) & v6_rlvect_1(k23_rlvect_2(A)) & v7_rlvect_1(k23_rlvect_2(A)) & v3_rlvect_1(k23_rlvect_2(A)))) # label(fc2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7894 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> r1_rlvect_2(A,k14_rlvect_2(A,B,C),k14_rlvect_2(A,C,B)))))))) # label(t60_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7895 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_rlvect_2(A,B))))) # label(t3_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7896 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v3_rlvect_1(A) -> v1_funct_1(k22_rlvect_2(A)) & m2_relset_1(k22_rlvect_2(A),k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A)) & v1_funct_2(k22_rlvect_2(A),k2_zfmisc_1(k1_numbers,k18_rlvect_2(A)),k18_rlvect_2(A)))) # label(dt_k22_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7897 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k6_rlvect_2(A,k5_rlvect_2(A,C,B)) = k4_rlvect_1(A,k6_rlvect_2(A,k4_rlvect_2(A,C,B)),k6_rlvect_2(A,k4_rlvect_2(A,B,C))))))))) # label(t24_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7898 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> u2_struct_0(k23_rlvect_2(A)) = k11_rlvect_2(A))) # label(t93_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7899 (all A all B all C (v1_finset_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_struct_0(A) -> m1_subset_1(k3_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(k3_rlvect_2(A,B,C)))) # label(dt_k3_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7900 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),k1_numbers,C,D) = k8_funct_2(u1_struct_0(A),k1_numbers,B,D))) <-> r1_rlvect_2(A,B,C)))))))) # label(d11_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7901 (all A (v3_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_rlvect_2(B,A) -> r1_rlvect_2(A,k16_rlvect_2(A,k16_rlvect_2(A,B)),B))))) # label(t77_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7902 (all A all B all C (v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v1_funct_2(C,u1_struct_0(A),k1_numbers) & m1_relset_1(C,u1_struct_0(A),k1_numbers) & v1_funct_1(C) & m1_finseq_1(B,u1_struct_0(A)) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> m2_finseq_1(k12_rlvect_2(A,B,C),u1_struct_0(A)))) # label(dt_k12_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7903 (all A all B all C (l1_rlvect_1(B) & m1_rlvect_2(C,B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_0_rlvect_2(B,C)) <-> (exists D (np__0 != k8_funct_2(u1_struct_0(B),k1_numbers,C,D) & D = A & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_0_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7904 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> k23_rlvect_2(A) = g2_rlvect_1(k18_rlvect_2(A),k20_rlvect_2(A,k11_rlvect_2(A)),k21_rlvect_2(A),k22_rlvect_2(A)))) # label(d21_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7905 $T # label(t91_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7906 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_struct_0(A),k1_numbers) & v1_funct_2(D,u1_struct_0(A),k1_numbers) -> k12_rlvect_2(A,k2_finseq_4(u1_struct_0(A),B,C),D) = k2_finseq_4(u1_struct_0(A),k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,D,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,D,C))))))))))) # label(t43_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7907 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_struct_0(A) & -v3_struct_0(A) -> k7_rlvect_2(A,B) = k1_tarski(B))) # label(redefinition_k7_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7908 $T # label(t38_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7909 $T # label(t78_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7910 (all A all B all C (m1_rlvect_2(C,A) & m1_rlvect_2(B,A) & l1_rlvect_1(A) & -v3_struct_0(A) -> (r1_rlvect_2(A,B,C) <-> B = C))) # label(redefinition_r1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7911 (all A (-v3_struct_0(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_rlvect_2(B,A) -> (all C (m1_rlvect_2(C,A) -> k14_rlvect_2(A,B,C) = k4_rlvect_1(k23_rlvect_2(A),k1_rlvect_2(k23_rlvect_2(A),B),k1_rlvect_2(k23_rlvect_2(A),C)))))))) # label(t96_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7912 $T # label(t56_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7913 (all A all B all C (l1_struct_0(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(C) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) -> k2_rlvect_2(A,C,B) = k2_rlvect_2(A,B,C))) # label(commutativity_k2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7914 (all A all B (v1_finset_1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_rlvect_1(A) & -v3_struct_0(A) -> m1_subset_1(k6_rlvect_2(A,B),u1_struct_0(A)))) # label(dt_k6_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7915 $T # label(t12_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7916 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (k3_finseq_1(B) = k3_finseq_1(D) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k1_relat_1(B)) -> k6_rlvect_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,E),k4_finseq_4(k5_numbers,u1_struct_0(A),C,E)) = k1_funct_1(D,E)))) & k3_finseq_1(B) = k3_finseq_1(C) -> k6_rlvect_1(A,k9_rlvect_1(A,B),k9_rlvect_1(A,C)) = k9_rlvect_1(A,D)))))))))) # label(t7_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7917 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v7_rlvect_1(A) & m1_rlvect_2(B,A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> m1_subset_1(k20_rlvect_2(A,B),k18_rlvect_2(A)))) # label(dt_k20_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7918 (all A all B all C (-v3_struct_0(A) & m1_rlvect_2(C,A) & m1_rlvect_2(B,A) & l1_rlvect_1(A) -> r1_rlvect_2(A,B,B))) # label(reflexivity_r1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7919 (all A all B all C (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & m1_rlvect_2(C,A) & m1_rlvect_2(B,A) & l2_rlvect_1(A) & v3_rlvect_1(A) -> m1_rlvect_2(k17_rlvect_2(A,B,C),A))) # label(dt_k17_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7920 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_rlvect_1(A) & -v3_struct_0(A) -> (all C (m2_rlvect_2(C,A,B) -> m1_rlvect_2(C,A))))) # label(dt_m2_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7921 (all A all B all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_finset_1(B) & l1_struct_0(A) -> k5_rlvect_2(A,B,C) = k5_xboole_0(B,C))) # label(redefinition_k5_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7922 (all A all B all C (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_rlvect_1(B) & l2_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v4_rlvect_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_1_rlvect_2(B,C)) <-> (exists D (A = D & m2_rlvect_2(D,B,C)))))) # label(fraenkel_a_2_1_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7923 (all A (l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (v1_funct_1(D) & m2_relset_1(D,k1_relat_1(B),k1_relat_1(B)) & v3_funct_2(D,k1_relat_1(B),k1_relat_1(B)) & v1_funct_2(D,k1_relat_1(B),k1_relat_1(B)) -> ((all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k1_relat_1(C)) -> k1_funct_1(C,E) = k1_funct_1(B,k1_funct_1(D,E))))) & k3_finseq_1(C) = k3_finseq_1(B) -> k9_rlvect_1(A,B) = k9_rlvect_1(A,C)))))))))) # label(t8_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7924 $T # label(t29_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7925 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v5_rlvect_1(A) -> u1_struct_0(k23_rlvect_2(A)) = k18_rlvect_2(A))) # label(t92_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7926 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m2_relset_1(E,u1_struct_0(A),k1_numbers) & v1_funct_2(E,u1_struct_0(A),k1_numbers) & v1_funct_1(E) -> k12_rlvect_2(A,k3_finseq_4(u1_struct_0(A),B,C,D),E) = k3_finseq_4(u1_struct_0(A),k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,E,B)),k3_rlvect_1(A,C,k8_funct_2(u1_struct_0(A),k1_numbers,E,C)),k3_rlvect_1(A,D,k8_funct_2(u1_struct_0(A),k1_numbers,E,D))))))))))))) # label(t44_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7927 $T # label(t86_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7928 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v7_rlvect_1(A) & l2_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_rlvect_2(C,A,k7_rlvect_2(A,B)) -> k13_rlvect_2(A,C) = k3_rlvect_1(A,B,k8_funct_2(u1_struct_0(A),k1_numbers,C,B)))))))) # label(t50_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7929 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l2_rlvect_1(A) & v7_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,k18_rlvect_2(A)) -> B = k19_rlvect_2(A,B))))) # label(d17_rlvect_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7930 (all A (v4_realset2(A) & l3_vectsp_1(A) -> v1_funct_1(k8_realset2(A)) & m2_relset_1(k8_realset2(A),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) & v1_funct_2(k8_realset2(A),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))))) # label(dt_k8_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7931 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> k1_funct_1(k5_realset2(A),k4_tarski(B,k1_funct_1(k3_realset2(A),k4_tarski(C,k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),D))))) = k1_funct_1(k3_realset2(A),k4_tarski(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),k1_funct_1(k7_realset2(A),k1_funct_1(k5_realset2(A),k4_tarski(B,D))))))))))))) # label(t15_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7932 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (k4_realset2(A) = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C) -> C = k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),B)))))))) # label(t12_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7933 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (-v1_realset1(B) -> ((exists C (m2_relset_1(C,k2_zfmisc_1(B,B),B) & (exists D ((exists E ((exists F (m1_subset_1(F,k4_xboole_0(B,k5_realset1(B,D))) & k1_realset2(B,C,E,D,F) = A)) & m3_realset1(E,B,D))) & m1_subset_1(D,B))) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C))) <-> B = k2_realset2(A)))))) # label(d9_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7934 (all A (l3_vectsp_1(A) & v4_realset2(A) -> m1_subset_1(k4_realset2(A),k2_realset2(A)))) # label(dt_k4_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7935 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),C,D)) = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C),D))))))))) # label(t4_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7936 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> k4_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(B,k4_realset2(A))))))) # label(t17_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7937 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (k1_realset2(k2_realset2(A),k3_realset2(A),k5_realset2(A),k4_realset2(A),B) = A <-> B = k6_realset2(A)))))) # label(d13_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7938 (all A (l1_rlvect_1(A) -> (v1_realset2(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_binop_1(u1_rlvect_1(A),B,u2_struct_0(A)) & k1_binop_1(u1_rlvect_1(A),u2_struct_0(A),B) = B))))) # label(d1_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7939 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all C (m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> k1_funct_1(k5_realset2(A),k4_tarski(B,C)) = k1_funct_1(k5_realset2(A),k4_tarski(C,B)))))))) # label(t9_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7940 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,k4_realset2(A)) = B & k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),k4_realset2(A),B) = B)))) # label(t6_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7941 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> (k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,D) = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C) -> C = D))))))))) # label(t29_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7942 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> m1_subset_1(k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),B),k2_realset2(A)) & m1_subset_1(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),k2_realset2(A)) & m1_subset_1(k1_funct_1(k3_realset2(A),k4_tarski(B,C)),k2_realset2(A)))))))) # label(t14_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7943 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_binop_1(u1_rlvect_1(A),k1_binop_1(u1_rlvect_1(A),B,C),D) = k1_binop_1(u1_rlvect_1(A),B,k1_binop_1(u1_rlvect_1(A),C,D)))))))) <-> v4_rlvect_1(A)))) # label(d3_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7944 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) -> (all D (m1_subset_1(D,B) -> (k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))) = B & D = k6_realset2(A) & k4_realset1(k2_realset2(A),k4_realset2(A),k5_realset2(A)) = C -> v3_rlvect_1(g1_rlvect_1(B,C,D)) & l1_rlvect_1(g1_rlvect_1(B,C,D)) & v2_realset2(g1_rlvect_1(B,C,D)) & v1_realset2(g1_rlvect_1(B,C,D)) & v4_rlvect_1(g1_rlvect_1(B,C,D)) & -v3_struct_0(g1_rlvect_1(B,C,D))))))))))) # label(t2_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7945 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> k1_funct_1(k5_realset2(A),k4_tarski(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),D)) = k1_funct_1(k5_realset2(A),k4_tarski(B,k1_funct_1(k5_realset2(A),k4_tarski(C,D)))))))))))) # label(t23_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7946 (exists A (v3_realset2(A) & l1_struct_0(A))) # label(rc2_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7947 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m3_realset1(B,k2_realset2(A),k4_realset2(A)) -> (k5_realset2(A) = B <-> (exists C (m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) & A = k1_realset2(k2_realset2(A),k3_realset2(A),B,k4_realset2(A),C)))))))) # label(d12_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7948 (all A (l3_vectsp_1(A) & v4_realset2(A) -> k4_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(k4_realset2(A),k6_realset2(A))))) # label(t21_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7949 (all A (l1_rlvect_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (u2_struct_0(A) = k1_binop_1(u1_rlvect_1(A),B,C) & k1_binop_1(u1_rlvect_1(A),C,B) = u2_struct_0(A) & m1_subset_1(C,u1_struct_0(A)))))) <-> v2_realset2(A)))) # label(d2_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.73 7950 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (v3_rlvect_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_binop_1(u1_rlvect_1(A),C,B) = k1_binop_1(u1_rlvect_1(A),B,C)))))))) # label(d4_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7951 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) & m2_relset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> ((all C (m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> k6_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(C,k8_funct_2(k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),B,C))))) <-> k8_realset2(A) = B))))) # label(d15_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7952 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all C (m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all D (m1_subset_1(D,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> k1_funct_1(k5_realset2(A),k4_tarski(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),D)) = k1_funct_1(k5_realset2(A),k4_tarski(B,k1_funct_1(k5_realset2(A),k4_tarski(C,D)))))))))))) # label(t8_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7953 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> (k1_funct_1(k5_realset2(A),k4_tarski(B,D)) = k1_funct_1(k5_realset2(A),k4_tarski(B,C)) -> D = C))))))))) # label(t30_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7954 (all A (v4_realset2(A) & l3_vectsp_1(A) -> k1_funct_1(k5_realset2(A),k4_tarski(k6_realset2(A),k4_realset2(A))) = k4_realset2(A))) # label(t20_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7955 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_realset2(A),k2_realset2(A)) & m2_relset_1(B,k2_realset2(A),k2_realset2(A)) -> (k7_realset2(A) = B <-> (all C (m1_subset_1(C,k2_realset2(A)) -> k4_realset2(A) = k1_funct_1(k3_realset2(A),k4_tarski(C,k8_funct_2(k2_realset2(A),k2_realset2(A),B,C)))))))))) # label(d14_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7956 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> ((exists C ((exists D (m1_subset_1(D,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),B))) & k1_realset2(k2_realset2(A),k3_realset2(A),C,B,D) = A)) & m3_realset1(C,k2_realset2(A),B))) <-> B = k4_realset2(A)))))) # label(d11_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7957 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all C (m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> m1_subset_1(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) & m1_subset_1(k8_funct_2(k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k8_realset2(A),B),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))))))))) # label(t28_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7958 (exists A (v4_realset2(A) & v3_vectsp_1(A) & l3_vectsp_1(A))) # label(rc4_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7959 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> B = k8_funct_2(k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k8_realset2(A),k8_funct_2(k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k8_realset2(A),B)))))) # label(t27_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7960 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> k1_funct_1(k5_realset2(A),k4_tarski(B,k1_funct_1(k3_realset2(A),k4_tarski(C,D)))) = k1_funct_1(k3_realset2(A),k4_tarski(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),k1_funct_1(k5_realset2(A),k4_tarski(B,D)))) & k1_funct_1(k5_realset2(A),k4_tarski(k1_funct_1(k3_realset2(A),k4_tarski(B,C)),D)) = k1_funct_1(k3_realset2(A),k4_tarski(k1_funct_1(k5_realset2(A),k4_tarski(B,D)),k1_funct_1(k5_realset2(A),k4_tarski(C,D)))))))))))) # label(t3_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7961 (all A (l3_vectsp_1(A) & v4_realset2(A) -> m1_subset_1(k6_realset2(A),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))))) # label(dt_k6_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7962 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> m1_subset_1(k1_funct_1(k5_realset2(A),k4_tarski(B,C)),k2_realset2(A)))))))) # label(t22_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7963 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> B = k1_funct_1(k5_realset2(A),k4_tarski(B,k6_realset2(A))) & B = k1_funct_1(k5_realset2(A),k4_tarski(k6_realset2(A),B)))))) # label(t10_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7964 (all A (v4_realset2(A) & l3_vectsp_1(A) -> m3_realset1(k5_realset2(A),k2_realset2(A),k4_realset2(A)))) # label(dt_k5_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7965 (all A (l1_struct_0(A) -> (v3_realset2(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> C = B))))))) # label(d7_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7966 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> k4_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(k4_realset2(A),B)))))) # label(t18_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7967 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (exists C (k6_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(B,C)) & k6_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(C,B)) & m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))))))))) # label(t11_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7968 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> B = k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),B)))))) # label(t13_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7969 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> k1_funct_1(k5_realset2(A),k4_tarski(B,C)) = k1_funct_1(k5_realset2(A),k4_tarski(C,B)))))))) # label(t24_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7970 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (all C (m1_subset_1(C,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A)))) -> (k6_realset2(A) = k1_funct_1(k5_realset2(A),k4_tarski(B,C)) -> k8_funct_2(k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),k4_realset2(A))),k8_realset2(A),B) = C))))))) # label(t26_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7971 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (exists C (m1_subset_1(C,k2_realset2(A)) & k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C) = k4_realset2(A) & k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),C,B) = k4_realset2(A))))))) # label(t7_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7972 (all A (l1_struct_0(A) -> (v1_realset1(u1_struct_0(A)) <-> v3_realset2(A)))) # label(d5_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7973 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> k1_funct_1(k7_realset2(A),k1_funct_1(k5_realset2(A),k4_tarski(B,C))) = k1_funct_1(k5_realset2(A),k4_tarski(B,k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),C))))))))) # label(t19_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7974 (all A (v4_realset2(A) & l3_vectsp_1(A) -> -v3_struct_0(g1_rlvect_1(k2_realset2(A),k3_realset2(A),k4_realset2(A))) & v4_rlvect_1(g1_rlvect_1(k2_realset2(A),k3_realset2(A),k4_realset2(A))) & v2_realset2(g1_rlvect_1(k2_realset2(A),k3_realset2(A),k4_realset2(A))) & l1_rlvect_1(g1_rlvect_1(k2_realset2(A),k3_realset2(A),k4_realset2(A))) & v1_realset2(g1_rlvect_1(k2_realset2(A),k3_realset2(A),k4_realset2(A))) & v3_rlvect_1(g1_rlvect_1(k2_realset2(A),k3_realset2(A),k4_realset2(A))))) # label(t1_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7975 (exists A (-v3_struct_0(A) & v1_rlvect_1(A) & v3_rlvect_1(A) & v1_realset2(A) & v2_realset2(A) & v4_rlvect_1(A) & l1_rlvect_1(A))) # label(rc1_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7976 (all A (l3_vectsp_1(A) & v4_realset2(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> B = k1_funct_1(k5_realset2(A),k4_tarski(B,k6_realset2(A))) & B = k1_funct_1(k5_realset2(A),k4_tarski(k6_realset2(A),B)))))) # label(t25_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7977 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> (all D (m1_subset_1(D,k2_realset2(A)) -> k1_funct_1(k3_realset2(A),k4_tarski(k1_funct_1(k5_realset2(A),k4_tarski(B,D)),k1_funct_1(k7_realset2(A),k1_funct_1(k5_realset2(A),k4_tarski(C,D))))) = k1_funct_1(k5_realset2(A),k4_tarski(k1_funct_1(k3_realset2(A),k4_tarski(B,k8_funct_2(k2_realset2(A),k2_realset2(A),k7_realset2(A),C))),D)))))))))) # label(t16_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7978 (all A all B all C all D all E (v1_funct_1(B) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_subset_1(D,A) & m1_subset_1(E,k4_xboole_0(A,k5_realset1(A,D))) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & -v1_realset1(A) -> v3_vectsp_1(k1_realset2(A,B,C,D,E)) & -v3_realset2(k1_realset2(A,B,C,D,E)) & l3_vectsp_1(k1_realset2(A,B,C,D,E)))) # label(dt_k1_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7979 (all A (l3_vectsp_1(A) & v4_realset2(A) -> m2_relset_1(k7_realset2(A),k2_realset2(A),k2_realset2(A)) & v1_funct_2(k7_realset2(A),k2_realset2(A),k2_realset2(A)) & v1_funct_1(k7_realset2(A)))) # label(dt_k7_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7980 (all A (-v1_realset1(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,k4_xboole_0(A,k5_realset1(A,D))) -> (all F (-v3_realset2(F) & l3_vectsp_1(F) & v3_vectsp_1(F) -> (u1_rlvect_1(F) = B & u2_struct_0(F) = D & E = u1_vectsp_1(F) & u1_group_1(F) = C & u1_struct_0(F) = A <-> k1_realset2(A,B,C,D,E) = F))))))))))))) # label(d6_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7981 (all A (l3_vectsp_1(A) & v4_realset2(A) -> -v1_realset1(k2_realset2(A)))) # label(dt_k2_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7982 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (m1_subset_1(B,k2_realset2(A)) -> (all C (m1_subset_1(C,k2_realset2(A)) -> k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),B,C) = k2_binop_1(k2_realset2(A),k2_realset2(A),k2_realset2(A),k3_realset2(A),C,B))))))) # label(t5_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7983 (all A (v4_realset2(A) & l3_vectsp_1(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k2_realset2(A),k2_realset2(A)),k2_realset2(A)) & m2_relset_1(B,k2_zfmisc_1(k2_realset2(A),k2_realset2(A)),k2_realset2(A)) -> (B = k3_realset2(A) <-> (exists C (m1_subset_1(C,k2_realset2(A)) & (exists D (m3_realset1(D,k2_realset2(A),C) & (exists E (A = k1_realset2(k2_realset2(A),B,D,C,E) & m1_subset_1(E,k4_xboole_0(k2_realset2(A),k5_realset1(k2_realset2(A),C)))))))))))))) # label(d10_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7984 (all A (l3_vectsp_1(A) -> (v4_realset2(A) <-> (exists B (-v1_realset1(B) & (exists C (v1_funct_2(C,k2_zfmisc_1(B,B),B) & m2_relset_1(C,k2_zfmisc_1(B,B),B) & (exists D ((exists E (m3_realset1(E,B,D) & (exists F (m1_subset_1(F,k4_xboole_0(B,k5_realset1(B,D))) & v3_rlvect_1(g1_rlvect_1(B,C,D)) & v4_rlvect_1(g1_rlvect_1(B,C,D)) & v1_realset2(g1_rlvect_1(B,C,D)) & v2_realset2(g1_rlvect_1(B,C,D)) & l1_rlvect_1(g1_rlvect_1(B,C,D)) & (all G (-v1_xboole_0(G) -> (all H (m2_relset_1(H,k2_zfmisc_1(G,G),G) & v1_funct_2(H,k2_zfmisc_1(G,G),G) & v1_funct_1(H) -> (all I (m1_subset_1(I,G) -> (G = k4_xboole_0(B,k5_realset1(B,D)) & I = F & H = k4_realset1(B,D,E) -> v4_rlvect_1(g1_rlvect_1(G,H,I)) & v2_realset2(g1_rlvect_1(G,H,I)) & l1_rlvect_1(g1_rlvect_1(G,H,I)) & v1_realset2(g1_rlvect_1(G,H,I)) & v3_rlvect_1(g1_rlvect_1(G,H,I)) & -v3_struct_0(g1_rlvect_1(G,H,I))))))))) & (all G (m1_subset_1(G,B) -> (all H (m1_subset_1(H,B) -> (all I (m1_subset_1(I,B) -> k1_funct_1(E,k4_tarski(k1_funct_1(C,k4_tarski(G,H)),I)) = k1_funct_1(C,k4_tarski(k1_funct_1(E,k4_tarski(G,I)),k1_funct_1(E,k4_tarski(H,I)))) & k1_funct_1(C,k4_tarski(k1_funct_1(E,k4_tarski(G,H)),k1_funct_1(E,k4_tarski(G,I)))) = k1_funct_1(E,k4_tarski(G,k1_funct_1(C,k4_tarski(H,I)))))))))) & -v3_struct_0(g1_rlvect_1(B,C,D)) & k1_realset2(B,C,E,D,F) = A)))) & m1_subset_1(D,B))) & v1_funct_1(C)))))))) # label(d8_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7985 (exists A (v3_vectsp_1(A) & -v3_realset2(A) & l3_vectsp_1(A))) # label(rc3_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7986 (all A (v4_realset2(A) & l3_vectsp_1(A) -> m2_relset_1(k3_realset2(A),k2_zfmisc_1(k2_realset2(A),k2_realset2(A)),k2_realset2(A)) & v1_funct_2(k3_realset2(A),k2_zfmisc_1(k2_realset2(A),k2_realset2(A)),k2_realset2(A)) & v1_funct_1(k3_realset2(A)))) # label(dt_k3_realset2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7987 (all A all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) -> (v3_metric_1(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (np__0 = k1_metric_1(A,A,B,C,D) -> C = D)))))))) # label(d4_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7988 (all A (l1_metric_1(A) -> v1_funct_2(u1_metric_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & m2_relset_1(u1_metric_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & v1_funct_1(u1_metric_1(A)))) # label(dt_u1_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7989 $T # label(t7_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7990 (all A (v1_xreal_0(A) -> (all B (-v3_struct_0(B) & l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k11_metric_1(B,C,A) = a_3_2_metric_1(A,B,C))))))) # label(t20_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7991 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> (v4_metric_1(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> k1_metric_1(A,A,B,C,D) = k1_metric_1(A,A,B,D,C)))))))) # label(d5_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7992 (all A (v6_metric_1(k6_metric_1(A)) & v7_metric_1(k6_metric_1(A)) & v8_metric_1(k6_metric_1(A)) & v9_metric_1(k6_metric_1(A)) & v1_metric_1(k6_metric_1(A)))) # label(fc2_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7993 (all A (l1_metric_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (np__0 = k2_metric_1(A,B,C) -> B = C))))) <-> v7_metric_1(A)))) # label(t2_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7994 (all A (l1_metric_1(A) -> (v8_metric_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_metric_1(A,B,C) = k2_metric_1(A,C,B)))))))) # label(t3_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7995 (all A (l1_metric_1(A) -> (v8_metric_1(A) <-> v4_metric_1(u1_metric_1(A),u1_struct_0(A))))) # label(d9_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7996 (all A (v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v6_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_xreal_0(np__0,k4_metric_1(A,B,C)))))))) # label(t5_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7997 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) & l1_metric_1(A) -> m1_subset_1(k9_metric_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k9_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7998 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> a_3_1_metric_1(A,B,C) = k10_metric_1(B,C,A))))))) # label(t19_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 7999 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> (v2_metric_1(B,A) <-> (all C (m1_subset_1(C,A) -> np__0 = k1_metric_1(A,A,B,C,C)))))) # label(d3_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 8000 (all A all B all C all D (-v3_struct_0(C) & m1_subset_1(D,u1_struct_0(C)) & l1_metric_1(C) & v1_xreal_0(B) -> ((exists E (m1_subset_1(E,u1_struct_0(C)) & -r1_xreal_0(B,k2_metric_1(C,D,E)) & A = E)) <-> r2_hidden(A,a_3_0_metric_1(B,C,D))))) # label(fraenkel_a_3_0_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 8001 (all A k6_metric_1(A) = g1_metric_1(A,k5_metric_1(A))) # label(d12_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 8002 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (r2_hidden(D,k9_metric_1(B,C,A)) <-> -v3_struct_0(B) & -r1_xreal_0(A,k2_metric_1(B,C,D))))))))))) # label(t12_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 8003 (all A (l1_metric_1(A) -> (v3_metric_1(u1_metric_1(A),u1_struct_0(A)) <-> v7_metric_1(A)))) # label(d8_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 8004 (all A all B all C all D (v1_xreal_0(B) & m1_subset_1(D,u1_struct_0(C)) & l1_metric_1(C) & -v3_struct_0(C) -> (r2_hidden(A,a_3_2_metric_1(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(C)) & A = E & B = k2_metric_1(C,D,E)))))) # label(fraenkel_a_3_2_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 8005 (all A all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) -> (v5_metric_1(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> r1_xreal_0(k1_metric_1(A,A,B,C,E),k3_real_1(k1_metric_1(A,A,B,C,D),k1_metric_1(A,A,B,D,E)))))))))))) # label(d6_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 8006 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (r2_hidden(D,k10_metric_1(B,C,A)) <-> r1_xreal_0(k2_metric_1(B,C,D),A) & -v3_struct_0(B)))))))))) # label(t13_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 8007 (exists A (v1_metric_1(A) & l1_metric_1(A))) # label(rc1_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 8008 (all A all B (m1_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> l1_metric_1(g1_metric_1(A,B)) & v1_metric_1(g1_metric_1(A,B)))) # label(dt_g1_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.74 8009 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_metric_1(A) -> m1_subset_1(k2_metric_1(A,B,C),k1_numbers))) # label(dt_k2_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8010 (exists A (v1_metric_1(A) & v6_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & v7_metric_1(A) & -v3_struct_0(A) & l1_metric_1(A))) # label(rc3_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8011 (all A all B all C all D (m1_subset_1(D,u1_struct_0(C)) & l1_metric_1(C) & -v3_struct_0(C) & v1_xreal_0(B) -> (r2_hidden(A,a_3_1_metric_1(B,C,D)) <-> (exists E (E = A & r1_xreal_0(k2_metric_1(C,D,E),B) & m1_subset_1(E,u1_struct_0(C))))))) # label(fraenkel_a_3_1_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8012 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) -> (all C all D (g1_metric_1(C,D) = g1_metric_1(A,B) -> C = A & B = D)))) # label(free_g1_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8013 (all A (l1_metric_1(A) -> (v1_metric_1(A) -> g1_metric_1(u1_struct_0(A),u1_metric_1(A)) = A))) # label(abstractness_v1_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8014 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_xreal_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v3_struct_0(A) -> (D = k9_metric_1(A,B,C) <-> v1_xboole_0(D))) & (-v3_struct_0(A) -> (D = k9_metric_1(A,B,C) <-> (exists E (l1_metric_1(E) & (exists F (m1_subset_1(F,u1_struct_0(E)) & A = E & D = a_3_0_metric_1(C,E,F) & B = F)) & -v3_struct_0(E))))))))))))) # label(d15_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8015 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> r1_xreal_0(k1_metric_1(k1_numbers,k1_numbers,k7_metric_1,A,B),k3_real_1(k1_metric_1(k1_numbers,k1_numbers,k7_metric_1,A,C),k1_metric_1(k1_numbers,k1_numbers,k7_metric_1,C,B))))))))) # label(t11_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8016 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_xreal_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (-v3_struct_0(A) -> ((exists E (-v3_struct_0(E) & (exists F (a_3_1_metric_1(C,E,F) = D & B = F & E = A & m1_subset_1(F,u1_struct_0(E)))) & l1_metric_1(E))) <-> k10_metric_1(A,B,C) = D)) & (v3_struct_0(A) -> (D = k10_metric_1(A,B,C) <-> v1_xboole_0(D))))))))))) # label(d16_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8017 (all A (l1_metric_1(A) -> (v5_metric_1(u1_metric_1(A),u1_struct_0(A)) <-> v9_metric_1(A)))) # label(d10_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8018 (all A all B all C (l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & v1_xreal_0(C) -> m1_subset_1(k10_metric_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k10_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8019 (all A all B all C (v8_metric_1(A) & l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k4_metric_1(A,B,C) = k2_metric_1(A,B,C))) # label(redefinition_k4_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8020 (all A (v1_funct_1(k5_metric_1(A)) & m2_relset_1(k5_metric_1(A),k2_zfmisc_1(A,A),k1_numbers) & v1_funct_2(k5_metric_1(A),k2_zfmisc_1(A,A),k1_numbers))) # label(dt_k5_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8021 (all A all B all C all D all E (m1_subset_1(E,B) & m1_subset_1(D,A) & m1_relset_1(C,k2_zfmisc_1(A,B),k1_numbers) & v1_funct_1(C) -> m1_subset_1(k1_metric_1(A,B,C,D,E),k1_numbers))) # label(dt_k1_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8022 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) -> ((all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (D != C -> np__1 = k1_metric_1(A,A,B,C,D)) & np__0 = k1_metric_1(A,A,B,C,C))))) <-> k5_metric_1(A) = B))) # label(d11_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8023 (all A (v1_funct_2(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & m2_relset_1(A,k2_zfmisc_1(k1_numbers,k1_numbers),k1_numbers) & v1_funct_1(A) -> (k7_metric_1 = A <-> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> k1_metric_1(k1_numbers,k1_numbers,A,B,C) = k18_complex1(k5_real_1(B,C))))))))) # label(d13_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8024 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k4_subset_1(u1_struct_0(B),k11_metric_1(B,C,A),k9_metric_1(B,C,A)) = k10_metric_1(B,C,A))))))) # label(t17_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8025 (all A (l1_metric_1(A) -> l1_struct_0(A))) # label(dt_l1_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8026 (all A (l1_metric_1(A) -> (v6_metric_1(A) <-> v2_metric_1(u1_metric_1(A),u1_struct_0(A))))) # label(d7_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8027 (exists A (-v3_struct_0(A) & v1_metric_1(A) & l1_metric_1(A))) # label(rc2_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8028 (all A all B all C all D all E (v1_funct_1(C) & m1_subset_1(E,B) & m1_subset_1(D,A) & m1_relset_1(C,k2_zfmisc_1(A,B),k1_numbers) -> k1_binop_1(C,D,E) = k1_metric_1(A,B,C,D,E))) # label(redefinition_k1_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8029 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> r1_tarski(k9_metric_1(B,C,A),k10_metric_1(B,C,A)))))))) # label(t15_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8030 (all A all B all C (l1_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v8_metric_1(A) -> k4_metric_1(A,B,C) = k4_metric_1(A,C,B))) # label(commutativity_k4_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8031 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (-v3_struct_0(B) & A = k2_metric_1(B,C,D) <-> r2_hidden(D,k11_metric_1(B,C,A))))))))))) # label(t14_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8032 (all A (-v1_xboole_0(A) -> -v3_struct_0(k6_metric_1(A)) & v1_metric_1(k6_metric_1(A)))) # label(fc1_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8033 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> k1_metric_1(k1_numbers,k1_numbers,k7_metric_1,A,B) = k1_metric_1(k1_numbers,k1_numbers,k7_metric_1,B,A))))) # label(t10_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8034 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_xreal_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v3_struct_0(A) -> (k11_metric_1(A,B,C) = D <-> v1_xboole_0(D))) & (-v3_struct_0(A) -> (D = k11_metric_1(A,B,C) <-> (exists E (l1_metric_1(E) & (exists F (m1_subset_1(F,u1_struct_0(E)) & a_3_2_metric_1(C,E,F) = D & B = F & E = A)) & -v3_struct_0(E))))))))))))) # label(d17_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8035 (all A (l1_metric_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (np__0 = k2_metric_1(A,B,C) -> B = C) & (C = B -> np__0 = k2_metric_1(A,B,C)) & r1_xreal_0(k2_metric_1(A,B,D),k3_real_1(k2_metric_1(A,B,C),k2_metric_1(A,C,D))) & k2_metric_1(A,C,B) = k2_metric_1(A,B,C))))))) -> v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v7_metric_1(A) & v6_metric_1(A)))) # label(t6_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8036 (exists A l1_metric_1(A)) # label(existence_l1_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8037 (all A (l1_metric_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> np__0 = k2_metric_1(A,B,B))) <-> v6_metric_1(A)))) # label(t1_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8038 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_metric_1(u1_struct_0(A),u1_struct_0(A),u1_metric_1(A),B,C) = k2_metric_1(A,B,C))))))) # label(d1_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8039 $T # label(t8_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8040 (all A (m1_subset_1(A,k1_numbers) -> (all B (m1_subset_1(B,k1_numbers) -> (k1_metric_1(k1_numbers,k1_numbers,k7_metric_1,A,B) = np__0 <-> B = A))))) # label(t9_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8041 (all A (v1_metric_1(k6_metric_1(A)) & l1_metric_1(k6_metric_1(A)))) # label(dt_k6_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8042 (all A all B all C (v1_xreal_0(C) & m1_subset_1(B,u1_struct_0(A)) & l1_metric_1(A) -> m1_subset_1(k11_metric_1(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k11_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8043 (all A all B all C (v8_metric_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_metric_1(A) -> m1_subset_1(k4_metric_1(A,B,C),k1_numbers))) # label(dt_k4_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8044 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> r1_tarski(k11_metric_1(B,C,A),k10_metric_1(B,C,A)))))))) # label(t16_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8045 (all A (l1_metric_1(A) -> (v9_metric_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> r1_xreal_0(k2_metric_1(A,B,D),k3_real_1(k2_metric_1(A,B,C),k2_metric_1(A,C,D)))))))))))) # label(t4_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8046 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k9_metric_1(B,C,A) = a_3_0_metric_1(A,B,C))))))) # label(t18_metric_1) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8047 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(k11_cat_2(A,B)),u2_cat_1(C),D,k13_cat_2(A,B,F,k10_cat_1(B,E))) = k8_funct_2(u2_cat_1(A),u2_cat_1(C),k15_cat_2(A,B,C,D,E),F))))))))))))) # label(t50_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8048 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> m2_cat_1(k17_cat_2(A,B),k11_cat_2(A,B),B))) # label(dt_k17_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8049 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (-v1_xboole_0(C) -> (m1_cat_2(C,A,B) <-> (all D (m1_subset_1(D,C) -> m2_cat_1(D,A,B)))))))))) # label(d3_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8050 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> m2_cat_1(k10_funct_3(u2_cat_1(A),u2_cat_1(B)),k11_cat_2(A,B),B))))) # label(t55_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8051 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> k17_cat_2(A,B) = k10_funct_3(u2_cat_1(A),u2_cat_1(B)))))) # label(d11_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8052 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> v10_cat_1(k8_cat_2(A,B),B,A))))) # label(t24_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8053 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> m2_cat_1(k9_funct_3(u2_cat_1(A),u2_cat_1(B)),k11_cat_2(A,B),A))))) # label(t54_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8054 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,C) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k12_cat_2(B,C,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,D),F),k8_funct_2(u1_cat_1(A),u1_cat_1(C),k12_cat_1(A,C,E),F)) = k8_funct_2(u1_cat_1(A),u1_cat_1(k11_cat_2(B,C)),k12_cat_1(A,k11_cat_2(B,C),k18_cat_2(A,B,C,D,E)),F))))))))))))) # label(t63_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8055 (all A all B all C all D (v2_cat_1(B) & m1_subset_1(D,u1_cat_1(B)) & m1_subset_1(C,u1_cat_1(A)) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> k4_tarski(C,D) = k12_cat_2(A,B,C,D))) # label(redefinition_k12_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8056 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> k10_pboole(u2_cat_1(A),k10_cat_1(B,C)) = k4_cat_2(A,B,C))))))) # label(d1_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8057 (all A all B all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_cat_1(B))) & l1_cat_1(B) & v2_cat_1(B) -> (r2_hidden(A,a_2_0_cat_2(B,C)) <-> (exists D exists E (m1_subset_1(D,u1_cat_1(B)) & m1_subset_1(E,u1_cat_1(B)) & k6_cat_1(B,D,E) = A & r2_hidden(D,C) & r2_hidden(E,C)))))) # label(fraenkel_a_2_0_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8058 $T # label(t32_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8059 (all A all B all C all D all E all F (m1_fraenkel(D,B,C) & v1_funct_1(E) & m1_relset_1(E,A,D) & m1_subset_1(F,A) & v1_funct_2(E,A,D) & -v1_xboole_0(C) & -v1_xboole_0(A) -> m2_fraenkel(k1_cat_2(A,B,C,D,E,F),B,C,D))) # label(dt_k1_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8060 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (l1_cat_1(D) & v2_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,C,D) -> k9_cat_2(u2_cat_1(A),u2_cat_1(C),u2_cat_1(B),u2_cat_1(D),E,F) = k18_cat_2(k11_cat_2(A,C),B,D,k14_cat_1(k11_cat_2(A,C),A,B,k16_cat_2(A,C),E),k14_cat_1(k11_cat_2(A,C),C,D,k17_cat_2(A,C),F)))))))))))))) # label(t64_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8061 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(k11_cat_2(A,B))) -> (exists D ((exists E (C = k12_cat_2(A,B,D,E) & m1_subset_1(E,u1_cat_1(B)))) & m1_subset_1(D,u1_cat_1(A)))))))))) # label(t35_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8062 (all A all B all C all D all E all F (-v1_xboole_0(B) & v1_funct_1(E) & v1_funct_2(E,A,C) & v1_funct_1(F) & v1_funct_2(F,B,D) & m1_relset_1(F,B,D) & m1_relset_1(E,A,C) & -v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(A) -> k15_funct_3(E,F) = k9_cat_2(A,B,C,D,E,F))) # label(redefinition_k9_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8063 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (m3_cat_2(B,A) <-> r1_tarski(u1_cat_1(B),u1_cat_1(A)) & (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> (E = C & D = F -> r1_tarski(k6_cat_1(B,C,D),k6_cat_1(A,E,F))))))))))) & r1_tarski(u5_cat_1(B),u5_cat_1(A)) & (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (C = D -> k10_cat_1(B,C) = k10_cat_1(A,D))))))))))) # label(d4_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8064 (all A all B all C all D (-v1_xboole_0(B) & v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(B,B),B) & -v1_xboole_0(A) -> k3_funct_4(C,D) = k10_cat_2(A,B,C,D))) # label(redefinition_k10_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8065 $T # label(t26_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8066 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> D = k8_funct_2(u1_cat_1(k11_cat_2(A,B)),u1_cat_1(B),k12_cat_1(k11_cat_2(A,B),B,k17_cat_2(A,B)),k12_cat_2(A,B,C,D)))))))))) # label(t61_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8067 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> k2_zfmisc_1(u2_cat_1(A),u2_cat_1(B)) = u2_cat_1(k11_cat_2(A,B)) & k10_cat_2(u2_cat_1(A),u2_cat_1(B),u5_cat_1(A),u5_cat_1(B)) = u5_cat_1(k11_cat_2(A,B)) & k9_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(A),u2_cat_1(B),u6_cat_1(A),u6_cat_1(B)) = u6_cat_1(k11_cat_2(A,B)) & u4_cat_1(k11_cat_2(A,B)) = k9_cat_2(u2_cat_1(A),u2_cat_1(B),u1_cat_1(A),u1_cat_1(B),u4_cat_1(A),u4_cat_1(B)) & k9_cat_2(u2_cat_1(A),u2_cat_1(B),u1_cat_1(A),u1_cat_1(B),u3_cat_1(A),u3_cat_1(B)) = u3_cat_1(k11_cat_2(A,B)) & u1_cat_1(k11_cat_2(A,B)) = k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)))))) # label(t33_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8068 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (k3_tarski(a_2_0_cat_2(A,B)) = C -> v1_funct_2(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C),C,B) & v1_funct_1(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C)) & m2_relset_1(k1_realset1(u5_cat_1(A),C),k2_zfmisc_1(C,C),C) & m2_relset_1(k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B),B,C) & v1_funct_2(k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B),B,C) & v1_funct_1(k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B)) & v1_funct_1(k1_realset1(u5_cat_1(A),C)) & m2_relset_1(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C),C,B) & v1_funct_2(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C),C,B) & m2_relset_1(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C),C,B) & v1_funct_1(k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C))))))))) # label(t29_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8069 (all A all B all C (v2_cat_1(A) & m1_subset_1(C,u1_cat_1(B)) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> m2_cat_1(k4_cat_2(A,B,C),A,B))) # label(dt_k4_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8070 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> m1_subset_1(C,u1_cat_1(A)))))))) # label(t12_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8071 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u2_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (C = D -> k3_cat_1(B,C) = k3_cat_1(A,D) & k2_cat_1(A,D) = k2_cat_1(B,C)))))))))) # label(t15_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8072 (all A all B all C all D (l1_cat_1(A) & v2_cat_1(B) & m1_subset_1(D,u2_cat_1(B)) & m1_subset_1(C,u2_cat_1(A)) & l1_cat_1(B) & v2_cat_1(A) -> m1_subset_1(k13_cat_2(A,B,C,D),u2_cat_1(k11_cat_2(A,B))))) # label(dt_k13_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8073 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,C,B) & v1_funct_2(D,C,B) -> (all E (v1_funct_2(E,C,B) & m2_relset_1(E,C,B) & v1_funct_1(E) -> (all F (m2_relset_1(F,k2_zfmisc_1(C,C),C) & v1_funct_1(F) -> (all G (v1_funct_1(G) & m2_relset_1(G,B,C) & v1_funct_2(G,B,C) -> (r1_cat_2(g1_cat_1(B,C,D,E,F,G),A) -> k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) = D & k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) = E & k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B) = G & F = k1_realset1(u5_cat_1(A),C) & k3_tarski(a_2_0_cat_2(A,B)) = C))))))))))))))) # label(t31_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8074 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> l1_cat_1(B) & v2_cat_1(B))))) # label(dt_m3_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8075 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,C) -> m2_cat_1(k14_funct_3(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E),A,k11_cat_2(B,C)))))))))))) # label(t62_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8076 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,C,B) & v1_funct_2(D,C,B) & v1_funct_1(D) -> (all E (v1_funct_2(E,C,B) & m2_relset_1(E,C,B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(C,C),C) -> (all G (v1_funct_1(G) & v1_funct_2(G,B,C) & m2_relset_1(G,B,C) -> (k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) = D & E = k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) & F = k1_realset1(u5_cat_1(A),C) & G = k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B) & C = k3_tarski(a_2_0_cat_2(A,B)) -> r1_cat_2(g1_cat_1(B,C,D,E,F,G),A)))))))))))))))) # label(t30_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8077 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C ((all D (m2_cat_1(D,A,B) <-> r2_hidden(D,C))) <-> C = k5_cat_2(A,B))))))) # label(d2_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8078 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> k13_cat_1(B,A,k8_cat_2(A,B),C) = C)))))) # label(t23_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8079 (all A (l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (r1_cat_2(A,B) <-> m3_cat_2(A,B) & (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (F = D & C = E -> k6_cat_1(A,C,D) = k6_cat_1(B,E,F))))))))))))))) # label(d6_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8080 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_2(D,k2_zfmisc_1(A,B),C) -> v1_funct_2(k2_cat_2(A,B,C,D),A,k1_fraenkel(B,C)) & m2_relset_1(k2_cat_2(A,B,C,D),A,k1_fraenkel(B,C)) & v1_funct_1(k2_cat_2(A,B,C,D)))) # label(dt_k2_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8081 (all A all B all C all D all E all F (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & v2_cat_1(D) & l1_cat_1(D) & m2_cat_1(F,B,D) & m2_cat_1(E,A,C) & l1_cat_1(C) & v2_cat_1(A) -> m2_cat_1(k19_cat_2(A,B,C,D,E,F),k11_cat_2(A,B),k11_cat_2(C,D)))) # label(dt_k19_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8082 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> k15_cat_1(B) = k8_cat_2(A,B))))) # label(d5_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8083 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u2_cat_1(B)) -> k8_funct_2(u2_cat_1(B),u2_cat_1(C),k14_cat_2(A,B,C,D,E),F) = k8_funct_2(u2_cat_1(k11_cat_2(A,B)),u2_cat_1(C),D,k13_cat_2(A,B,k10_cat_1(A,E),F)))))))))))))) # label(t47_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8084 (all A all B all C all D all E (v2_cat_1(A) & v2_cat_1(B) & v2_cat_1(C) & m2_cat_1(E,A,C) & m2_cat_1(D,A,B) & l1_cat_1(C) & l1_cat_1(B) & l1_cat_1(A) -> k13_funct_3(D,E) = k18_cat_2(A,B,C,D,E))) # label(redefinition_k18_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8085 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) -> -v1_xboole_0(k3_tarski(a_2_0_cat_2(A,B))) & m1_subset_1(k3_tarski(a_2_0_cat_2(A,B)),k1_zfmisc_1(u2_cat_1(A))))))) # label(t28_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8086 (all A all B all C (v2_cat_1(B) & l1_cat_1(B) & m1_cat_2(C,A,B) & l1_cat_1(A) & v2_cat_1(A) -> (all D (m1_subset_1(D,C) <-> m2_cat_2(D,A,B,C))))) # label(redefinition_m2_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8087 (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) -> v1_funct_1(k3_funct_5(D)) & m2_relset_1(k3_funct_5(D),A,k1_fraenkel(B,C)) & v1_funct_2(k3_funct_5(D),A,k1_fraenkel(B,C)))))))))) # label(t1_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8088 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> (all G (m1_cat_1(G,B,C,D) -> (D = F & C = E -> m1_cat_1(G,A,E,F) | k1_xboole_0 = k6_cat_1(B,C,D)))))))))))))))) # label(t16_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8089 (all A all B (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> (exists C m1_cat_2(C,A,B)))) # label(existence_m1_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8090 (all A all B all C all D all E all F (-v1_xboole_0(C) & m1_fraenkel(D,B,C) & v1_funct_2(E,A,D) & m1_subset_1(F,A) & m1_relset_1(E,A,D) & v1_funct_1(E) & -v1_xboole_0(A) -> k1_funct_1(E,F) = k1_cat_2(A,B,C,D,E,F))) # label(redefinition_k1_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8091 (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_funct_1(E) & v1_funct_2(E,A,C) & m1_relset_1(F,B,D) & v1_funct_2(F,B,D) & v1_funct_1(F) & m1_relset_1(E,A,C) & -v1_xboole_0(D) -> m2_relset_1(k9_cat_2(A,B,C,D,E,F),k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) & v1_funct_2(k9_cat_2(A,B,C,D,E,F),k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) & v1_funct_1(k9_cat_2(A,B,C,D,E,F)))) # label(dt_k9_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8092 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u2_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (all F (m1_subset_1(F,u2_cat_1(A)) -> (F = D & k2_cat_1(B,D) = k3_cat_1(B,C) & C = E -> k4_cat_1(B,C,D) = k4_cat_1(A,E,F)))))))))))))) # label(t17_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8093 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(B)) -> (all F (m1_subset_1(F,u2_cat_1(B)) -> (k3_cat_1(B,E) = k2_cat_1(B,F) & k3_cat_1(A,C) = k2_cat_1(A,D) -> k13_cat_2(A,B,k4_cat_1(A,C,D),k4_cat_1(B,E,F)) = k4_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,E),k13_cat_2(A,B,D,F))))))))))))))) # label(t39_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8094 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> k8_funct_2(u1_cat_1(B),u1_cat_1(A),k12_cat_1(B,A,k8_cat_2(A,B)),C) = C)))))) # label(t22_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8095 (all A (v2_cat_1(A) & l1_cat_1(A) -> (exists B m3_cat_2(B,A)))) # label(existence_m3_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8096 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> m1_subset_1(k1_domain_1(u2_cat_1(A),u2_cat_1(B),C,D),u2_cat_1(k11_cat_2(A,B))))))))))) # label(t36_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8097 (all A all B all C all D (-v1_xboole_0(B) & -v1_xboole_0(C) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) & -v1_xboole_0(A) -> k5_funct_5(D) = k3_cat_2(A,B,C,D))) # label(redefinition_k3_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8098 $T # label(t11_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8099 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> l1_cat_1(k11_cat_2(A,B)) & v2_cat_1(k11_cat_2(A,B)))) # label(dt_k11_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8100 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> v1_funct_1(k3_cat_2(A,B,C,D)) & v1_funct_2(k3_cat_2(A,B,C,D),B,k1_fraenkel(A,C)) & m2_relset_1(k3_cat_2(A,B,C,D),B,k1_fraenkel(A,C)))) # label(dt_k3_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8101 $T # label(t9_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8102 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> C = k8_funct_2(u1_cat_1(B),u1_cat_1(A),k12_cat_1(B,A,k4_cat_2(B,A,C)),D))))))))) # label(t7_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8103 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> (v9_cat_1(k8_cat_2(A,B),B,A) <-> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> (D = F & C = E -> k6_cat_1(A,E,F) = k6_cat_1(B,C,D))))))))))))))) # label(t25_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8104 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(B)) -> (all F (m1_subset_1(F,u2_cat_1(B)) -> (k2_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,D,F)) = k3_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,E)) -> k13_cat_2(A,B,k4_cat_1(A,C,D),k4_cat_1(B,E,F)) = k4_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,E),k13_cat_2(A,B,D,F))))))))))))))) # label(t40_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8105 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,k2_zfmisc_1(B,A),C) & v1_funct_2(D,k2_zfmisc_1(B,A),C) & v1_funct_1(D) -> v1_funct_1(k5_funct_5(D)) & v1_funct_2(k5_funct_5(D),A,k1_fraenkel(B,C)) & m2_relset_1(k5_funct_5(D),A,k1_fraenkel(B,C)))))))))) # label(t2_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8106 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_cat_1(A),k7_cat_2(B,C)) & m2_relset_1(D,u1_cat_1(A),k7_cat_2(B,C)) -> (all E (v1_funct_2(E,u1_cat_1(B),k7_cat_2(A,C)) & m2_relset_1(E,u1_cat_1(B),k7_cat_2(A,C)) & v1_funct_1(E) -> ((exists F ((all G (m1_subset_1(G,u1_cat_1(A)) -> (all H (m1_subset_1(H,u1_cat_1(B)) -> k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,G) = k15_cat_2(B,A,C,F,G) & k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,H) = k14_cat_2(B,A,C,F,H))))) & m2_cat_1(F,k11_cat_2(B,A),C))) -> (all F (m1_subset_1(F,u2_cat_1(B)) -> (all G (m1_subset_1(G,u2_cat_1(A)) -> k4_cat_1(C,k8_funct_2(u2_cat_1(B),u2_cat_1(C),k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,k2_cat_1(A,G)),F),k8_funct_2(u2_cat_1(A),u2_cat_1(C),k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,k3_cat_1(B,F)),G)) = k4_cat_1(C,k8_funct_2(u2_cat_1(A),u2_cat_1(C),k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,k2_cat_1(B,F)),G),k8_funct_2(u2_cat_1(B),u2_cat_1(C),k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,k3_cat_1(A,G)),F))))))))))))))))) # label(t53_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8107 (all A all B all C all D all E (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,C) & v2_cat_1(B) & v2_cat_1(A) -> m2_cat_1(k18_cat_2(A,B,C,D,E),A,k11_cat_2(B,C)))) # label(dt_k18_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8108 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> k6_cat_1(k11_cat_2(A,B),k12_cat_2(A,B,C,E),k12_cat_2(A,B,D,F)) = k2_zfmisc_1(k6_cat_1(A,C,D),k6_cat_1(B,E,F)))))))))))))) # label(t42_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8109 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (v1_funct_2(F,k2_zfmisc_1(A,B),C) & m2_relset_1(F,k2_zfmisc_1(A,B),C) & v1_funct_1(F) -> k8_funct_2(k2_zfmisc_1(A,B),C,F,k1_domain_1(A,B,D,E)) = k8_funct_2(A,C,k1_cat_2(B,A,C,k1_fraenkel(A,C),k3_cat_2(A,B,C,F),E),D))))))))))))) # label(t4_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8110 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & m1_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) & -v1_xboole_0(B) & -v1_xboole_0(A) -> v1_funct_1(k10_cat_2(A,B,C,D)) & m2_relset_1(k10_cat_2(A,B,C,D),k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)))) # label(dt_k10_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8111 (all A all B all C all D all E (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & m1_subset_1(E,u1_cat_1(A)) & m2_cat_1(D,k11_cat_2(A,B),C) & l1_cat_1(C) & v2_cat_1(A) -> m2_cat_1(k14_cat_2(A,B,C,D,E),B,C))) # label(dt_k14_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8112 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(k11_cat_2(A,B))) -> (exists D (m1_subset_1(D,u2_cat_1(A)) & (exists E (k13_cat_2(A,B,D,E) = C & m1_subset_1(E,u2_cat_1(B)))))))))))) # label(t37_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8113 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> r1_tarski(u2_cat_1(B),u2_cat_1(A)))))) # label(t13_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8114 (all A all B (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) -> v2_cat_1(k11_cat_2(A,B)) & v1_cat_1(k11_cat_2(A,B)))) # label(fc2_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8115 $T # label(t10_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8116 (all A all B all C all D (v2_cat_1(A) & v2_cat_1(B) & m1_subset_1(C,u2_cat_1(A)) & m1_subset_1(D,u2_cat_1(B)) & l1_cat_1(B) & l1_cat_1(A) -> k13_cat_2(A,B,C,D) = k4_tarski(C,D))) # label(redefinition_k13_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8117 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,C,D) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (all G (m1_subset_1(G,u1_cat_1(B)) -> (all H (m1_cat_1(H,B,F,G) -> -(k6_cat_1(B,F,G) != k1_xboole_0 & -m1_cat_1(k13_cat_2(A,B,E,H),k11_cat_2(A,B),k12_cat_2(A,B,C,F),k12_cat_2(A,B,D,G)) & k1_xboole_0 != k6_cat_1(A,C,D)))))))))))))))))) # label(t43_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8118 $T # label(dt_k5_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8119 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) & -v1_xboole_0(C) -> k2_cat_2(A,B,C,D) = k3_funct_5(D))) # label(redefinition_k2_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8120 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u2_cat_1(B)) -> k8_funct_2(u2_cat_1(B),u2_cat_1(A),k8_cat_2(A,B),C) = C)))))) # label(t21_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8121 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> k8_funct_2(u2_cat_1(k11_cat_2(A,B)),u2_cat_1(A),k16_cat_2(A,B),k13_cat_2(A,B,C,D)) = C)))))))) # label(t58_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8122 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> k16_cat_2(A,B) = k9_funct_3(u2_cat_1(A),u2_cat_1(B)))))) # label(d10_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8123 $T # label(t8_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8124 $T # label(t49_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8125 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> k13_cat_2(A,B,k10_cat_1(A,C),k10_cat_1(B,D)) = k10_cat_1(k11_cat_2(A,B),k12_cat_2(A,B,C,D)))))))))) # label(t41_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8126 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> (all C (m1_subset_1(C,u2_cat_1(B)) -> m1_subset_1(C,u2_cat_1(A)))))))) # label(t14_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8127 $T # label(t5_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8128 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m3_cat_2(B,A) -> m2_cat_1(k8_cat_2(A,B),B,A))) # label(dt_k8_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8129 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> m2_cat_1(k1_funct_1(k3_funct_5(D),k10_cat_1(A,E)),B,C))))))))))) # label(t44_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8130 (all A (l1_cat_1(A) & v2_cat_1(A) -> (exists B (m3_cat_2(B,A) & v1_cat_1(B) & v2_cat_1(B))))) # label(rc1_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8131 (all A all B (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> (all C (m1_cat_2(C,A,B) -> -v1_xboole_0(C))))) # label(dt_m1_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.75 8132 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> k8_funct_2(u1_cat_1(k11_cat_2(A,B)),u1_cat_1(C),k12_cat_1(k11_cat_2(A,B),C,D),k12_cat_2(A,B,E,F)) = k8_funct_2(u1_cat_1(A),u1_cat_1(C),k12_cat_1(A,C,k15_cat_2(A,B,C,D,F)),E))))))))))))) # label(t51_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8133 $T # label(t56_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8134 (all A all B all C all D all E all F (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & l1_cat_1(C) & v2_cat_1(D) & m2_cat_1(F,B,D) & m2_cat_1(E,A,C) & l1_cat_1(D) & v2_cat_1(C) & v2_cat_1(B) -> k19_cat_2(A,B,C,D,E,F) = k15_funct_3(E,F))) # label(redefinition_k19_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8135 (all A all B (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(A) -> m1_cat_2(k7_cat_2(A,B),A,B))) # label(dt_k7_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8136 (all A all B all C all D all E all F (-v1_xboole_0(A) & l1_cat_1(B) & l1_cat_1(C) & v1_funct_1(E) & m1_subset_1(F,A) & m1_relset_1(E,A,D) & v1_funct_2(E,A,D) & m1_cat_2(D,B,C) & v2_cat_1(C) & v2_cat_1(B) -> k1_funct_1(E,F) = k6_cat_2(A,B,C,D,E,F))) # label(redefinition_k6_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8137 (all A all B (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> m2_cat_1(k16_cat_2(A,B),k11_cat_2(A,B),A))) # label(dt_k16_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8138 $T # label(t20_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8139 (all A all B (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> -v1_xboole_0(k5_cat_2(A,B)))) # label(fc1_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8140 (all A all B all C all D (v2_cat_1(B) & l1_cat_1(B) & m1_subset_1(D,u1_cat_1(B)) & m1_subset_1(C,u1_cat_1(A)) & l1_cat_1(A) & v2_cat_1(A) -> m1_subset_1(k12_cat_2(A,B,C,D),u1_cat_1(k11_cat_2(A,B))))) # label(dt_k12_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8141 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> k1_funct_1(k5_funct_5(D),k10_cat_1(B,E)) = k15_cat_2(A,B,C,D,E))))))))))) # label(d9_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8142 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> k2_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,D)) = k12_cat_2(A,B,k2_cat_1(A,C),k2_cat_1(B,D)) & k3_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,D)) = k12_cat_2(A,B,k3_cat_1(A,C),k3_cat_1(B,D)))))))))) # label(t38_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8143 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> g1_cat_1(k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),k2_zfmisc_1(u2_cat_1(A),u2_cat_1(B)),k9_cat_2(u2_cat_1(A),u2_cat_1(B),u1_cat_1(A),u1_cat_1(B),u3_cat_1(A),u3_cat_1(B)),k9_cat_2(u2_cat_1(A),u2_cat_1(B),u1_cat_1(A),u1_cat_1(B),u4_cat_1(A),u4_cat_1(B)),k10_cat_2(u2_cat_1(A),u2_cat_1(B),u5_cat_1(A),u5_cat_1(B)),k9_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(A),u2_cat_1(B),u6_cat_1(A),u6_cat_1(B))) = k11_cat_2(A,B))))) # label(d7_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8144 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> m2_cat_1(k1_funct_1(k5_funct_5(D),k10_cat_1(B,E)),A,C))))))))))) # label(t45_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8145 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (l1_cat_1(D) & v2_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,C,D) -> m2_cat_1(k9_cat_2(u2_cat_1(A),u2_cat_1(C),u2_cat_1(B),u2_cat_1(D),E,F),k11_cat_2(A,C),k11_cat_2(B,D)))))))))))))) # label(t65_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8146 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> k1_funct_1(k3_funct_5(D),k10_cat_1(A,E)) = k14_cat_2(A,B,C,D,E))))))))))) # label(d8_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8147 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (l1_cat_1(D) & v2_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,C,D) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> (all H (m1_subset_1(H,u1_cat_1(C)) -> k12_cat_2(B,D,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,E),G),k8_funct_2(u1_cat_1(C),u1_cat_1(D),k12_cat_1(C,D,F),H)) = k8_funct_2(u1_cat_1(k11_cat_2(A,C)),u1_cat_1(k11_cat_2(B,D)),k12_cat_1(k11_cat_2(A,C),k11_cat_2(B,D),k19_cat_2(A,C,B,D,E,F)),k12_cat_2(A,C,G,H)))))))))))))))))) # label(t66_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8148 $T # label(t57_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8149 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_cat_1(A),k7_cat_2(B,C)) & v1_funct_2(D,u1_cat_1(A),k7_cat_2(B,C)) -> (all E (m2_relset_1(E,u1_cat_1(B),k7_cat_2(A,C)) & v1_funct_2(E,u1_cat_1(B),k7_cat_2(A,C)) & v1_funct_1(E) -> -((all F (m1_subset_1(F,u1_cat_1(A)) -> (all G (m1_subset_1(G,u1_cat_1(B)) -> k8_funct_2(u2_cat_1(B),u2_cat_1(C),k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,F),k10_cat_1(B,G)) = k8_funct_2(u2_cat_1(A),u2_cat_1(C),k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,G),k10_cat_1(A,F)))))) & (all F (m2_cat_1(F,k11_cat_2(B,A),C) -> -(all G (m1_subset_1(G,u2_cat_1(B)) -> (all H (m1_subset_1(H,u2_cat_1(A)) -> k4_cat_1(C,k8_funct_2(u2_cat_1(A),u2_cat_1(C),k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,k2_cat_1(B,G)),H),k8_funct_2(u2_cat_1(B),u2_cat_1(C),k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,k3_cat_1(A,H)),G)) = k8_funct_2(u2_cat_1(k11_cat_2(B,A)),u2_cat_1(C),F,k13_cat_2(B,A,G,H)))))))) & (all F (m1_subset_1(F,u2_cat_1(B)) -> (all G (m1_subset_1(G,u2_cat_1(A)) -> k4_cat_1(C,k8_funct_2(u2_cat_1(B),u2_cat_1(C),k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,k2_cat_1(A,G)),F),k8_funct_2(u2_cat_1(A),u2_cat_1(C),k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,k3_cat_1(B,F)),G)) = k4_cat_1(C,k8_funct_2(u2_cat_1(A),u2_cat_1(C),k6_cat_2(u1_cat_1(B),A,C,k7_cat_2(A,C),E,k2_cat_1(B,F)),G),k8_funct_2(u2_cat_1(B),u2_cat_1(C),k6_cat_2(u1_cat_1(A),B,C,k7_cat_2(B,C),D,k3_cat_1(A,G)),F))))))))))))))))) # label(t52_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8150 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> m2_cat_1(k15_cat_1(B),B,A))))) # label(t19_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8151 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & m1_cat_2(C,A,B) & v2_cat_1(B) -> (all D (m2_cat_2(D,A,B,C) -> m2_cat_1(D,A,B))))) # label(dt_m2_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8152 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> k8_funct_2(u2_cat_1(B),u2_cat_1(A),k4_cat_2(B,A,C),D) = k10_cat_1(A,C))))))))) # label(t6_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8153 (all A all B all C all D all E all F (-v1_xboole_0(A) & l1_cat_1(C) & m1_cat_2(D,B,C) & m1_relset_1(E,A,D) & m1_subset_1(F,A) & v1_funct_2(E,A,D) & v1_funct_1(E) & v2_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) -> m2_cat_2(k6_cat_2(A,B,C,D,E,F),B,C,D))) # label(dt_k6_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8154 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> k8_funct_2(u1_cat_1(B),u1_cat_1(C),k12_cat_1(B,C,k14_cat_2(A,B,C,D,E)),F) = k8_funct_2(u1_cat_1(k11_cat_2(A,B)),u1_cat_1(C),k12_cat_1(k11_cat_2(A,B),C,D),k12_cat_2(A,B,E,F)))))))))))))) # label(t48_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8155 (all A all B (v2_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> k5_cat_2(A,B) = k7_cat_2(A,B))) # label(redefinition_k7_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8156 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> C = k8_funct_2(u1_cat_1(k11_cat_2(A,B)),u1_cat_1(A),k12_cat_1(k11_cat_2(A,B),A,k16_cat_2(A,B)),k12_cat_2(A,B,C,D)))))))))) # label(t59_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8157 (all A all B all C all D all E (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(C) & l1_cat_1(C) & m1_subset_1(E,u1_cat_1(B)) & m2_cat_1(D,k11_cat_2(A,B),C) & l1_cat_1(B) & v2_cat_1(B) -> m2_cat_1(k15_cat_2(A,B,C,D,E),A,C))) # label(dt_k15_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8158 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> D = k8_funct_2(u2_cat_1(k11_cat_2(A,B)),u2_cat_1(B),k17_cat_2(A,B),k13_cat_2(A,B,C,D)))))))))) # label(t60_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8159 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> m1_subset_1(k1_domain_1(u1_cat_1(A),u1_cat_1(B),C,D),u1_cat_1(k11_cat_2(A,B))))))))))) # label(t34_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8160 (all A all B all C (l1_cat_1(A) & v2_cat_1(B) & m1_cat_2(C,A,B) & l1_cat_1(B) & v2_cat_1(A) -> (exists D m2_cat_2(D,A,B,C)))) # label(existence_m2_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8161 (all A (l1_cat_1(A) & v2_cat_1(A) -> m3_cat_2(A,A))) # label(t18_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8162 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (m2_relset_1(F,k2_zfmisc_1(A,B),C) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & v1_funct_1(F) -> k8_funct_2(B,C,k1_cat_2(A,B,C,k1_fraenkel(B,C),k2_cat_2(A,B,C,F),D),E) = k8_funct_2(k2_zfmisc_1(A,B),C,F,k1_domain_1(A,B,D,E)))))))))))))) # label(t3_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8163 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> (r1_cat_2(B,A) <-> v9_cat_1(k8_cat_2(A,B),B,A)))))) # label(t27_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8164 $T # label(t46_cat_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8165 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> -v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & v7_group_1(A) & v5_rlvect_1(A))) # label(t13_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8166 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v6_vectsp_1(B) & v7_vectsp_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v4_group_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> -v3_struct_0(k9_vectsp_2(A,B)) & v3_rlvect_1(k9_vectsp_2(A,B)) & v4_rlvect_1(k9_vectsp_2(A,B)) & v6_rlvect_1(k9_vectsp_2(A,B)) & v6_vectsp_2(k9_vectsp_2(A,B),A,B) & l2_vectsp_2(k9_vectsp_2(A,B),A,B) & v5_vectsp_2(k9_vectsp_2(A,B),B) & v12_vectsp_1(k9_vectsp_2(A,B),A) & v5_rlvect_1(k9_vectsp_2(A,B)))))) # label(t84_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8167 $T # label(t6_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8168 $T # label(t17_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8169 $T # label(t70_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8170 (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)) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & k4_rlvect_1(A,D,C) = B & B = k4_rlvect_1(A,C,D))))))))) # label(t38_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8171 (all A all B all C all D all E (v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) & -v1_xboole_0(B) & l1_struct_0(A) -> v3_vectsp_2(g1_vectsp_2(A,B,C,D,E),A) & -v3_struct_0(g1_vectsp_2(A,B,C,D,E)))) # label(fc1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8172 $T # label(t28_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8173 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(B != k1_rlvect_1(A) & C != k1_rlvect_1(A) & k1_group_1(A,B,C) = k1_rlvect_1(A)))))))) # label(t47_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8174 $T # label(t73_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8175 (exists A (-v3_struct_0(A) & v2_group_1(A) & v4_vectsp_1(A) & v5_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & l3_vectsp_1(A))) # label(rc6_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8176 (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) -> g1_rlvect_1(u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A)) = k3_vectsp_2(A))) # label(d9_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8177 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (exists C (l2_vectsp_2(C,A,B) & -v3_struct_0(C) & v4_rlvect_1(C) & v4_vectsp_2(C,A,B) & v6_vectsp_2(C,A,B) & v5_vectsp_2(C,B) & v12_vectsp_1(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v3_rlvect_1(C))))) # label(rc17_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8178 (all A all B all C all D all E all F all G (l1_struct_0(B) & m1_relset_1(D,k2_zfmisc_1(C,C),C) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C) & m1_relset_1(F,k2_zfmisc_1(u1_struct_0(A),C),C) & v1_funct_1(G) & m1_relset_1(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & v1_funct_1(F) & m1_subset_1(E,C) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & v1_funct_1(D) & l1_struct_0(A) -> (all H all I all J all K all L all M all N (g2_vectsp_2(H,I,J,K,L,M,N) = g2_vectsp_2(A,B,C,D,E,F,G) -> K = D & E = L & N = G & M = F & C = J & I = B & H = A)))) # label(free_g2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8179 $T # label(t69_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8180 $T # label(t12_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8181 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) -> g1_vectsp_2(A,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_group_1(A)) = k5_vectsp_2(A))) # label(d14_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8182 $T # label(t81_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8183 $T # label(t64_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8184 (all A all B all C all D all E all F all G (l1_struct_0(B) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & m1_subset_1(E,C) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C) & v1_funct_1(G) & m1_relset_1(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & m1_relset_1(F,k2_zfmisc_1(u1_struct_0(A),C),C) & v1_funct_1(F) & m1_relset_1(D,k2_zfmisc_1(C,C),C) & v1_funct_1(D) & l1_struct_0(A) -> l2_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B) & v4_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B))) # label(dt_g2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8185 $T # label(t11_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8186 (all A (v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(k2_vectsp_2(A,k1_group_1(A,D,C),k1_group_1(A,B,C)) != k2_vectsp_2(A,D,B) & k1_rlvect_1(A) != C & k1_rlvect_1(A) != B))))))))) # label(t53_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8187 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> v1_rlvect_1(k3_vectsp_2(A)) & v4_rlvect_1(k3_vectsp_2(A)) & v6_rlvect_1(k3_vectsp_2(A)) & l1_rlvect_1(k3_vectsp_2(A)) & v5_rlvect_1(k3_vectsp_2(A)) & v3_rlvect_1(k3_vectsp_2(A)) & -v3_struct_0(k3_vectsp_2(A)))) # label(dt_k3_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8188 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> k9_vectsp_2(A,B) = g2_vectsp_2(A,B,k1_tarski(k1_xboole_0),k2_midsp_1,k8_vectsp_2,k10_funct_3(u1_struct_0(A),k1_tarski(k1_xboole_0)),k9_funct_3(k1_tarski(k1_xboole_0),u1_struct_0(B))))))) # label(d21_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8189 (all A all B (l1_struct_0(A) & l1_vectsp_2(B,A) -> v1_funct_1(u1_vectsp_2(A,B)) & m2_relset_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)) & v1_funct_2(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)))) # label(dt_u1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8190 $T # label(t32_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8191 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) & v6_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> -v3_struct_0(k9_vectsp_2(A,B)) & v5_rlvect_1(k9_vectsp_2(A,B)) & v12_vectsp_1(k9_vectsp_2(A,B),A) & v4_vectsp_2(k9_vectsp_2(A,B),A,B) & v5_vectsp_2(k9_vectsp_2(A,B),B) & v6_vectsp_2(k9_vectsp_2(A,B),A,B) & v6_rlvect_1(k9_vectsp_2(A,B)) & v4_rlvect_1(k9_vectsp_2(A,B)) & v3_rlvect_1(k9_vectsp_2(A,B)))) # label(fc5_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8192 $T # label(t9_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8193 $T # label(t76_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8194 (all A (l1_vectsp_1(A) -> (-v3_struct_0(A) & v1_vectsp_2(A) -> v2_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(A)))) # label(cc1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8195 $T # label(t21_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8196 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_group_1(A,B,C) = k2_group_1(A) -> k1_group_1(A,C,B) = k2_group_1(A)))))))) # label(t41_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8197 $T # label(t19_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8198 (all A all B (l1_struct_0(A) & l1_struct_0(B) -> (exists C l2_vectsp_2(C,A,B)))) # label(existence_l2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8199 $T # label(t60_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8200 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & m1_subset_1(B,u1_struct_0(A)) & v7_vectsp_1(A) & v2_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> m1_subset_1(k1_vectsp_2(A,B),u1_struct_0(A)))) # label(dt_k1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8201 $T # label(d6_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8202 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> k4_rlvect_1(A,k2_vectsp_2(A,C,B),k2_vectsp_2(A,D,B)) = k2_vectsp_2(A,k4_rlvect_1(A,C,D),B) & k2_vectsp_2(A,k6_rlvect_1(A,C,D),B) = k6_rlvect_1(A,k2_vectsp_2(A,C,B),k2_vectsp_2(A,D,B))))))))))) # label(t55_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8203 $T # label(t29_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8204 (all A (v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists B (l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B))))) # label(rc16_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8205 $T # label(d13_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8206 $T # label(t36_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8207 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> ((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)))) & k2_group_1(A) != k1_rlvect_1(A))) -> -v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A)))) # label(t16_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8208 $T # label(d16_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8209 (all A all B all C (l1_struct_0(A) & l1_struct_0(B) & l2_vectsp_2(C,A,B) -> (v4_vectsp_2(C,A,B) -> C = g2_vectsp_2(A,B,u1_struct_0(C),u1_rlvect_1(C),u2_struct_0(C),u2_vectsp_1(B,C),u1_vectsp_2(B,C))))) # label(abstractness_v4_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8210 $T # label(t82_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8211 (all A (l2_vectsp_1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(B != k1_rlvect_1(A) & C != k1_rlvect_1(A) & k1_group_1(A,B,C) = k1_rlvect_1(A)))))) <-> v2_vectsp_2(A)))) # label(d5_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8212 (all A (v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> k5_rlvect_1(A,k2_vectsp_2(A,C,B)) = k2_vectsp_2(A,C,k5_rlvect_1(A,B)) & k2_vectsp_2(A,k5_rlvect_1(A,C),B) = k5_rlvect_1(A,k2_vectsp_2(A,C,B))))))))) # label(t54_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8213 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v6_vectsp_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & l2_vectsp_2(C,A,B) -> (v6_vectsp_2(C,A,B) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(C)) -> k6_vectsp_2(B,C,E,k6_vectsp_1(A,C,D,F)) = k6_vectsp_1(A,C,D,k6_vectsp_2(B,C,E,F))))))))))))))) # label(d24_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8214 $T # label(t25_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8215 $T # label(t78_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8216 $T # label(t74_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8217 (exists A (-v3_struct_0(A) & v3_vectsp_1(A) & v5_vectsp_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v4_vectsp_1(A) & v2_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & l3_vectsp_1(A))) # label(rc1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8218 (all A all B all C (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & -v10_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> m1_subset_1(k2_vectsp_2(A,B,C),u1_struct_0(A)))) # label(dt_k2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8219 $T # label(d1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8220 (all A (l1_struct_0(A) -> (exists B (l1_vectsp_2(B,A) & v3_vectsp_2(B,A))))) # label(rc8_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8221 (all A (l1_vectsp_1(A) & -v3_struct_0(A) -> (v1_vectsp_2(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_1(A,k2_vectsp_1(A),B) = B & B = k1_group_1(A,B,k2_vectsp_1(A))))))) # label(d2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8222 (all A (-v3_struct_0(A) & l1_vectsp_1(A) -> (v1_vectsp_2(A) -> k2_vectsp_1(A) = k2_group_1(A)))) # label(t85_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8223 $T # label(t5_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8224 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_rlvect_1(A) != B -> k1_vectsp_2(A,B) = k2_vectsp_2(A,k2_group_1(A),B) & B = k2_vectsp_2(A,k2_group_1(A),k1_vectsp_2(A,B))))))) # label(t50_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8225 (all A all B (l1_struct_0(B) & l1_struct_0(A) -> (all C (l2_vectsp_2(C,A,B) -> l1_vectsp_2(C,B) & l4_vectsp_1(C,A))))) # label(dt_l2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8226 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(A) -> g4_vectsp_1(A,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_group_1(A)) = k4_vectsp_2(A))) # label(d11_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8227 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(k1_rlvect_1(A) != B & (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,C,B) != k2_group_1(A)))))))) # label(t40_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8228 $T # label(d19_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.76 8229 (all A all B (v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists C (l2_vectsp_2(C,A,B) & v4_rlvect_1(C) & v4_vectsp_2(C,A,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C))))) # label(rc14_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8230 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & v7_vectsp_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) -> v4_rlvect_1(k9_vectsp_2(A,B)) & v5_rlvect_1(k9_vectsp_2(A,B)) & v6_rlvect_1(k9_vectsp_2(A,B)) & v4_vectsp_2(k9_vectsp_2(A,B),A,B) & l2_vectsp_2(k9_vectsp_2(A,B),A,B) & v3_rlvect_1(k9_vectsp_2(A,B)) & -v3_struct_0(k9_vectsp_2(A,B)))) # label(dt_k9_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8231 (all A all B (l1_vectsp_2(B,A) & l1_struct_0(A) -> (v3_vectsp_2(B,A) -> B = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B))))) # label(abstractness_v3_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8232 (all A all B (l1_struct_0(A) & l1_struct_0(B) -> (exists C (v4_vectsp_2(C,A,B) & l2_vectsp_2(C,A,B))))) # label(rc10_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8233 (exists A (l3_vectsp_1(A) & -v3_struct_0(A) & v3_rlvect_1(A) & v2_group_1(A) & v4_group_1(A) & v5_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_vectsp_1(A) & v3_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A))) # label(rc4_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8234 (all A all B all C all D (-v3_struct_0(A) & -v3_struct_0(B) & l1_vectsp_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & l1_struct_0(A) -> m1_subset_1(k6_vectsp_2(A,B,C,D),u1_struct_0(B)))) # label(dt_k6_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8235 (all A (m1_subset_1(A,k1_tarski(k1_xboole_0)) -> k8_vectsp_2 = A)) # label(d18_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8236 $T # label(t24_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8237 $T # label(d3_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8238 (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,B,C) = k2_rlvect_1(A,C,B) & B = k2_rlvect_1(A,B,k1_rlvect_1(A)) & B = k1_group_1(A,k2_group_1(A),B) & k1_group_1(A,k1_group_1(A,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D)) & k2_rlvect_1(A,k1_group_1(A,B,C),k1_group_1(A,B,D)) = k1_group_1(A,B,k2_rlvect_1(A,C,D)) & k2_rlvect_1(A,k1_group_1(A,C,B),k1_group_1(A,D,B)) = k1_group_1(A,k2_rlvect_1(A,C,D),B) & k1_group_1(A,B,k2_group_1(A)) = B & k1_rlvect_1(A) = k2_rlvect_1(A,B,k5_rlvect_1(A,B)) & k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)))))))) <-> v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A)))) # label(t1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8239 $T # label(d20_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8240 $T # label(t7_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8241 $T # label(t35_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8242 $T # label(t63_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8243 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(k1_vectsp_2(A,k1_group_1(A,C,B)) != k1_group_1(A,k1_vectsp_2(A,B),k1_vectsp_2(A,C)) & C != k1_rlvect_1(A) & B != k1_rlvect_1(A)))))))) # label(t46_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8244 (all A all B all C all D all E (v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & v1_funct_1(E) & m1_subset_1(D,B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) & l1_struct_0(A) -> v3_vectsp_2(g1_vectsp_2(A,B,C,D,E),A) & l1_vectsp_2(g1_vectsp_2(A,B,C,D,E),A))) # label(dt_g1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8245 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (l2_vectsp_2(C,A,B) & -v3_struct_0(C) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (all G (m1_subset_1(G,u1_struct_0(B)) -> (all H (m1_subset_1(H,u1_struct_0(C)) -> (all I (m1_subset_1(I,u1_struct_0(C)) -> k2_rlvect_1(C,k6_vectsp_1(A,C,D,H),k6_vectsp_1(A,C,E,H)) = k6_vectsp_1(A,C,k4_rlvect_1(A,D,E),H) & k6_vectsp_2(B,C,k1_group_1(B,G,F),H) = k6_vectsp_2(B,C,F,k6_vectsp_2(B,C,G,H)) & k6_vectsp_1(A,C,D,k6_vectsp_2(B,C,F,H)) = k6_vectsp_2(B,C,F,k6_vectsp_1(A,C,D,H)) & k6_vectsp_2(B,C,k2_group_1(B),H) = H & k2_rlvect_1(C,k6_vectsp_2(B,C,F,H),k6_vectsp_2(B,C,G,H)) = k6_vectsp_2(B,C,k4_rlvect_1(B,F,G),H) & k6_vectsp_2(B,C,F,k2_rlvect_1(C,H,I)) = k2_rlvect_1(C,k6_vectsp_2(B,C,F,H),k6_vectsp_2(B,C,F,I)) & H = k6_vectsp_1(A,C,k2_group_1(A),H) & k6_vectsp_1(A,C,k1_group_1(A,D,E),H) = k6_vectsp_1(A,C,D,k6_vectsp_1(A,C,E,H)) & k2_rlvect_1(C,k6_vectsp_1(A,C,D,H),k6_vectsp_1(A,C,D,I)) = k6_vectsp_1(A,C,D,k2_rlvect_1(C,H,I)))))))))))))) <-> v6_vectsp_2(C,A,B) & v12_vectsp_1(C,A) & v5_vectsp_2(C,B)))))))) # label(t83_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8246 $T # label(t2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8247 (all A (v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> k1_group_1(A,k2_vectsp_2(A,k2_group_1(A),B),B) = k2_group_1(A) & k2_group_1(A) = k1_group_1(A,B,k2_vectsp_2(A,k2_group_1(A),B))))))) # label(t51_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8248 (all A all B all C all D all E all F all G (l1_struct_0(B) & m1_subset_1(E,C) & v1_funct_1(F) & m1_relset_1(F,k2_zfmisc_1(u1_struct_0(A),C),C) & v1_funct_1(G) & v1_funct_2(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & m1_relset_1(G,k2_zfmisc_1(C,u1_struct_0(B)),C) & v1_funct_2(F,k2_zfmisc_1(u1_struct_0(A),C),C) & m1_relset_1(D,k2_zfmisc_1(C,C),C) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & v1_funct_1(D) & -v1_xboole_0(C) & l1_struct_0(A) -> -v3_struct_0(g2_vectsp_2(A,B,C,D,E,F,G)) & v4_vectsp_2(g2_vectsp_2(A,B,C,D,E,F,G),A,B))) # label(fc2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8249 (all A (l1_struct_0(A) -> (all B (l1_vectsp_2(B,A) -> l1_rlvect_1(B))))) # label(dt_l1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8250 $T # label(t79_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8251 (all A (v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(k1_vectsp_2(A,B) = k1_rlvect_1(A) & B != k1_rlvect_1(A)))))) # label(t48_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8252 $T # label(t37_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8253 (all A (l3_vectsp_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_vectsp_2(B,A) -> (v5_vectsp_2(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> k6_vectsp_2(A,B,k2_rlvect_1(A,C,D),E) = k2_rlvect_1(B,k6_vectsp_2(A,B,C,E),k6_vectsp_2(A,B,D,E)) & k6_vectsp_2(A,B,k2_group_1(A),E) = E & k6_vectsp_2(A,B,k1_group_1(A,D,C),E) = k6_vectsp_2(A,B,C,k6_vectsp_2(A,B,D,E)) & k2_rlvect_1(B,k6_vectsp_2(A,B,C,E),k6_vectsp_2(A,B,C,F)) = k6_vectsp_2(A,B,C,k2_rlvect_1(B,E,F))))))))))))))) # label(d23_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8254 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v2_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k1_group_1(A,B,C) = k1_group_1(A,B,D) -> k1_rlvect_1(A) = B | D = C))))))))) # label(t42_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8255 $T # label(t3_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8256 (all A (l1_vectsp_1(A) -> (v8_vectsp_1(A) & v7_group_1(A) & -v3_struct_0(A) -> v6_vectsp_1(A) & v8_vectsp_1(A) & v2_group_1(A) & -v3_struct_0(A)))) # label(cc2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8257 $T # label(t14_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8258 (all A (l1_vectsp_1(A) -> (-v3_struct_0(A) & v6_vectsp_1(A) & v7_group_1(A) -> -v3_struct_0(A) & v2_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A)))) # label(cc3_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8259 (exists A (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_group_1(A) & v3_vectsp_1(A) & v5_vectsp_1(A) & v2_vectsp_2(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_vectsp_1(A) & v4_group_1(A) & v2_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) & l3_vectsp_1(A))) # label(rc5_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8260 $T # label(t61_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8261 $T # label(d12_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8262 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> -v3_struct_0(k5_vectsp_2(A)) & v6_rlvect_1(k5_vectsp_2(A)) & v5_vectsp_2(k5_vectsp_2(A),A) & v3_vectsp_2(k5_vectsp_2(A),A) & v5_rlvect_1(k5_vectsp_2(A)) & v4_rlvect_1(k5_vectsp_2(A)) & v3_rlvect_1(k5_vectsp_2(A)))) # label(fc4_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8263 (all A (v1_funct_2(A,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0)) & m2_relset_1(A,k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0)) & v1_funct_1(A) -> k7_vectsp_2 = A)) # label(d17_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8264 $T # label(t75_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8265 $T # label(t67_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8266 (all A (l1_struct_0(A) -> (exists B (l1_vectsp_2(B,A) & -v3_struct_0(B))))) # label(rc9_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8267 (all A (l1_struct_0(A) -> (exists B l1_vectsp_2(B,A)))) # label(existence_l1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8268 $T # label(t15_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8269 $T # label(t30_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8270 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (exists B (l4_vectsp_1(B,A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v11_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B))))) # label(rc12_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8271 (exists A (l3_vectsp_1(A) & -v3_struct_0(A) & v5_rlvect_1(A) & v2_group_1(A) & v4_group_1(A) & v7_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(rc2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8272 $T # label(t20_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8273 $T # label(t18_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8274 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) -> v4_rlvect_1(k5_vectsp_2(A)) & v5_rlvect_1(k5_vectsp_2(A)) & v6_rlvect_1(k5_vectsp_2(A)) & v3_vectsp_2(k5_vectsp_2(A),A) & l1_vectsp_2(k5_vectsp_2(A),A) & v3_rlvect_1(k5_vectsp_2(A)) & -v3_struct_0(k5_vectsp_2(A)))) # label(dt_k5_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8275 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(k4_vectsp_2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k4_vectsp_2(A))) -> k4_rlvect_1(k4_vectsp_2(A),k6_vectsp_1(A,k4_vectsp_2(A),B,D),k6_vectsp_1(A,k4_vectsp_2(A),B,E)) = k6_vectsp_1(A,k4_vectsp_2(A),B,k4_rlvect_1(k4_vectsp_2(A),D,E)) & k6_vectsp_1(A,k4_vectsp_2(A),k4_rlvect_1(A,B,C),D) = k4_rlvect_1(k4_vectsp_2(A),k6_vectsp_1(A,k4_vectsp_2(A),B,D),k6_vectsp_1(A,k4_vectsp_2(A),C,D)) & k6_vectsp_1(A,k4_vectsp_2(A),B,k6_vectsp_1(A,k4_vectsp_2(A),C,D)) = k6_vectsp_1(A,k4_vectsp_2(A),k1_group_1(A,B,C),D) & D = k6_vectsp_1(A,k4_vectsp_2(A),k2_group_1(A),D))))))))))) # label(t71_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8276 $T # label(t26_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8277 $T # label(d22_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8278 $T # label(t10_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8279 $T # label(t8_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8280 $T # label(t27_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8281 (all A (v4_rlvect_1(A) & v6_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & 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)) -> (k1_rlvect_1(A) != B -> k2_group_1(A) = k1_group_1(A,B,k1_vectsp_2(A,B)) & k2_group_1(A) = k1_group_1(A,k1_vectsp_2(A,B),B)))))) # label(t43_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8282 $T # label(t62_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8283 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v3_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A))))) # label(rc13_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8284 (all A all B all C all D all E (l1_struct_0(A) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & v1_funct_1(E) & m1_subset_1(D,B) & v1_funct_1(C) -> (all F all G all H all I all J (g1_vectsp_2(A,B,C,D,E) = g1_vectsp_2(F,G,H,I,J) -> H = C & E = J & I = D & G = B & A = F)))) # label(free_g1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8285 (exists A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v3_vectsp_1(A) & v4_vectsp_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v5_vectsp_1(A) & v2_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & l3_vectsp_1(A))) # label(rc7_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8286 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (exists B (l4_vectsp_1(B,A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v11_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B))))) # label(rc15_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8287 $T # label(t80_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8288 $T # label(d10_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8289 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v6_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,k1_vectsp_2(A,C)) = k2_vectsp_2(A,B,C))))))) # label(d8_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8290 (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)) -> (k1_rlvect_1(A) = k5_rlvect_1(A,B) <-> B = k1_rlvect_1(A)))))) # label(t34_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8291 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(k5_vectsp_2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k5_vectsp_2(A))) -> k4_rlvect_1(k5_vectsp_2(A),k6_vectsp_2(A,k5_vectsp_2(A),B,D),k6_vectsp_2(A,k5_vectsp_2(A),B,E)) = k6_vectsp_2(A,k5_vectsp_2(A),B,k4_rlvect_1(k5_vectsp_2(A),D,E)) & k6_vectsp_2(A,k5_vectsp_2(A),k2_group_1(A),D) = D & k6_vectsp_2(A,k5_vectsp_2(A),B,k6_vectsp_2(A,k5_vectsp_2(A),C,D)) = k6_vectsp_2(A,k5_vectsp_2(A),k1_group_1(A,C,B),D) & k6_vectsp_2(A,k5_vectsp_2(A),k4_rlvect_1(A,B,C),D) = k4_rlvect_1(k5_vectsp_2(A),k6_vectsp_2(A,k5_vectsp_2(A),B,D),k6_vectsp_2(A,k5_vectsp_2(A),C,D)))))))))))) # label(t77_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8292 (all A (l1_struct_0(A) & -v3_struct_0(A) -> (all B (l1_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k6_vectsp_2(A,B,C,D) = k2_binop_1(u1_struct_0(B),u1_struct_0(A),u1_struct_0(B),u1_vectsp_2(A,B),D,C))))))))) # label(d15_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8293 $T # label(t68_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8294 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (C = k6_rlvect_1(A,D,B) -> D = k4_rlvect_1(A,B,C)) & (D = k4_rlvect_1(A,B,C) -> k6_rlvect_1(A,D,B) = C) & (k6_rlvect_1(A,D,C) = B -> D = k4_rlvect_1(A,B,C)) & (D = k4_rlvect_1(A,B,C) -> B = k6_rlvect_1(A,D,C)))))))))) # label(t22_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8295 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_group_1(A,B,C) = k2_group_1(A) -> B != k1_rlvect_1(A) & k1_rlvect_1(A) != C))))))) # label(t39_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8296 $T # label(t33_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8297 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> -v3_struct_0(k4_vectsp_2(A)) & v11_vectsp_1(k4_vectsp_2(A),A) & l4_vectsp_1(k4_vectsp_2(A),A) & v6_rlvect_1(k4_vectsp_2(A)) & v5_rlvect_1(k4_vectsp_2(A)) & v4_rlvect_1(k4_vectsp_2(A)) & v3_rlvect_1(k4_vectsp_2(A)))) # label(dt_k4_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.77 8298 (all A (v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> -v3_struct_0(k4_vectsp_2(A)) & v3_rlvect_1(k4_vectsp_2(A)) & v4_rlvect_1(k4_vectsp_2(A)) & v5_rlvect_1(k4_vectsp_2(A)) & v6_rlvect_1(k4_vectsp_2(A)) & v12_vectsp_1(k4_vectsp_2(A),A) & v11_vectsp_1(k4_vectsp_2(A),A))) # label(fc3_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8299 $T # label(t59_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8300 $T # label(t44_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8301 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> C = k1_group_1(A,k2_vectsp_2(A,C,B),B)))))))) # label(t57_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8302 (all A all B (l1_struct_0(B) & l1_struct_0(A) -> (exists C (-v3_struct_0(C) & l2_vectsp_2(C,A,B))))) # label(rc11_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8303 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (B != k1_rlvect_1(A) -> k1_vectsp_2(A,k1_vectsp_2(A,B)) = B))))) # label(t49_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8304 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v2_group_1(A) & v4_group_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (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) <-> C = k1_vectsp_2(A,B))))))))) # label(d7_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8305 (exists A (l3_vectsp_1(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v2_group_1(A) & v4_group_1(A) & v4_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v5_vectsp_1(A) & v7_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A))) # label(rc3_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8306 $T # label(t65_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8307 $T # label(t58_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8308 $T # label(t66_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8309 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(k1_rlvect_1(A) != C & k2_vectsp_2(A,k1_group_1(A,D,C),B) != k2_vectsp_2(A,D,k2_vectsp_2(A,B,C)) & B != k1_rlvect_1(A)))))))))) # label(t56_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8310 $T # label(t31_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8311 $T # label(t23_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8312 $T # label(t72_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8313 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_rlvect_1(A) != B -> k2_vectsp_2(A,B,B) = k2_group_1(A)))))) # label(t52_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8314 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_group_1(A,B,C) = k2_group_1(A) -> B = k1_vectsp_2(A,C) & C = k1_vectsp_2(A,B)))))))) # label(t45_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8315 $T # label(d4_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8316 $T # label(t4_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8317 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) -> r1_tarski(k3_filter_0(A,B),k3_filter_0(A,C))))))))) # label(t27_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8318 (all A all B (l3_lattices(A) & m1_filter_0(B,A) & v10_lattices(A) & -v3_struct_0(A) -> v10_lattices(k8_filter_0(A,B)) & l3_lattices(k8_filter_0(A,B)) & -v3_struct_0(k8_filter_0(A,B)))) # label(dt_k8_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8319 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) -> v11_lattices(A))) # label(t39_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8320 (all A all B all C (m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k4_filter_0(A,B,C),u1_struct_0(A)))) # label(dt_k4_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8321 (all A all B (l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & v10_lattices(A) & -v3_struct_0(A) -> m1_filter_0(k2_filter_0(A,B),A))) # label(dt_k2_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8322 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(k3_lattices(A,C,D),B) <-> r2_hidden(D,B) | r2_hidden(C,B)))))) <-> v2_filter_0(B,A)))))) # label(d6_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8323 (all A all B (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & m1_filter_0(B,A) & l3_lattices(A) -> k12_filter_0(A,B) = k10_filter_0(A,B))) # label(redefinition_k12_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8324 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(k8_filter_0(A,k2_filter_0(A,B))) & v17_lattices(k8_filter_0(A,k2_filter_0(A,B))) & l3_lattices(k8_filter_0(A,k2_filter_0(A,B))) & v10_lattices(k8_filter_0(A,k2_filter_0(A,B)))))))) # label(t75_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8325 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (l3_lattices(A) & r2_hidden(k5_lattices(A),B) & v13_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> u1_struct_0(A) = k3_filter_0(A,B) & k1_filter_0(A) = k3_filter_0(A,B)))))) # label(t31_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8326 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (B != k1_filter_0(A) & v2_filter_0(B,A) <-> v1_filter_0(B,A)))))) # label(t58_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8327 (exists A (v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v7_lattices(A) & v3_filter_0(A) & v10_lattices(A) & v9_lattices(A) & v8_lattices(A) & v6_lattices(A) & -v3_struct_0(A) & l3_lattices(A))) # label(rc1_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8328 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> m1_filter_0(k1_filter_0(A),A))) # label(dt_k1_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8329 $T # label(t28_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8330 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(u1_struct_0(A) = k2_filter_0(A,B) & -(all C (m1_subset_1(C,u1_struct_0(A)) -> B = k4_lattices(A,B,C)))))))) # label(t23_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8331 $T # label(t16_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8332 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v3_lattices(A) -> k8_filter_0(A,k1_filter_0(A)) = A)) # label(t62_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8333 $T # label(t79_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8334 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (r2_hidden(B,D) -> r2_hidden(k3_lattices(A,C,B),D) & r2_hidden(k3_lattices(A,B,C),D)))))))))) # label(t10_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8335 (all A (-v3_struct_0(A) & l3_lattices(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (r1_lattices(A,k2_lattices(A,B,D),C) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_lattices(A,k2_lattices(A,B,E),C) -> r1_lattices(A,E,D)))) & m1_subset_1(D,u1_struct_0(A)))))))) <-> v3_filter_0(A)))) # label(d7_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8336 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (m1_filter_0(k6_domain_1(u1_struct_0(A),B),A) -> v14_lattices(A)))))) # label(t14_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8337 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r2_hidden(B,k2_filter_0(A,B)) & r2_hidden(k3_lattices(A,C,B),k2_filter_0(A,B)) & r2_hidden(k3_lattices(A,B,C),k2_filter_0(A,B)))))))) # label(t19_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8338 (all A all B (v10_lattices(A) & l3_lattices(A) & m1_filter_0(B,A) & v3_filter_0(A) & -v3_struct_0(A) -> v8_relat_2(k11_filter_0(A,B)) & v1_partfun1(k11_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k11_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & v3_relat_2(k11_filter_0(A,B)))) # label(dt_k11_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8339 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k9_filter_0(A,B,C),u1_struct_0(A)))) # label(dt_k9_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8340 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> r3_lattices(A,k3_lattices(A,D,B),k3_lattices(A,D,C)) & r3_lattices(A,k3_lattices(A,D,B),k3_lattices(A,C,D)) & r3_lattices(A,k3_lattices(A,B,D),k3_lattices(A,D,C)) & r3_lattices(A,k3_lattices(A,B,D),k3_lattices(A,C,D))))))))))) # label(t1_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8341 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (-v3_struct_0(C) & v10_lattices(C) & l3_lattices(C) -> (k8_filter_0(A,B) = C <-> (exists D (m2_relset_1(D,k2_zfmisc_1(B,B),B) & (exists E (v1_funct_2(E,k2_zfmisc_1(B,B),B) & m2_relset_1(E,k2_zfmisc_1(B,B),B) & E = k1_realset1(u1_lattices(A),B) & C = g3_lattices(B,D,E) & D = k1_realset1(u2_lattices(A),B) & v1_funct_1(E))) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D)))))))))) # label(d10_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8342 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> k5_filter_0(A,C,B) = k5_filter_0(A,B,C))))))) # label(t46_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8343 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k1_filter_0(A) = u1_struct_0(A))) # label(d2_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8344 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (-v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r3_lattices(A,k4_lattices(A,B,k3_lattices(A,k7_lattices(A,B),C)),C) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,k4_lattices(A,B,D),C) -> r3_lattices(A,D,k3_lattices(A,k7_lattices(A,B),C)))))))))))) # label(t34_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8345 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)) = k7_filter_0(A,B,C))))))) # label(t52_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8346 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l3_lattices(A) -> m1_subset_1(k5_filter_0(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k5_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8347 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(B,k2_filter_0(A,C)) <-> r3_lattices(A,C,B)))))))) # label(t18_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8348 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_filter_0(B,A) & v3_filter_0(A) & v10_lattices(A) -> k11_filter_0(A,B) = k10_filter_0(A,B))) # label(redefinition_k11_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8349 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (exists C (r2_hidden(C,B) & m1_subset_1(C,u1_struct_0(A)))))))) # label(t11_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8350 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v13_lattices(k8_filter_0(A,k2_filter_0(A,B))))))) # label(t70_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8351 $T # label(t25_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8352 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> k3_filter_0(A,k5_filter_0(A,B,C)) = k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)))))))) # label(t50_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8353 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> B = k3_filter_0(A,B))))) # label(t26_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8354 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m1_filter_0(B,A) -> (v1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-r2_hidden(k7_lattices(A,C),B) <-> r2_hidden(C,B))))))))) # label(t59_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8355 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,D) & r3_lattices(A,B,C) -> r3_lattices(A,B,k4_lattices(A,C,D))))))))))) # label(t7_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8356 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (v1_relat_1(C) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r2_hidden(k9_filter_0(A,D,E),B) <-> r2_hidden(k1_domain_1(u1_struct_0(A),u1_struct_0(A),D,E),C)))))) & r1_tarski(k3_relat_1(C),u1_struct_0(A)) <-> C = k10_filter_0(A,B)))))))) # label(d12_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8357 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k4_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,C,B)) = k9_filter_0(A,B,C))))))) # label(d11_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8358 (all A (-v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -((all D (m1_filter_0(D,A) -> -(v1_filter_0(D,A) & (-r2_hidden(C,D) & r2_hidden(B,D) | -r2_hidden(B,D) & r2_hidden(C,D))))) & B != C))))))) # label(t60_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8359 (all A (-v3_struct_0(A) & v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) -> v14_lattices(A))) # label(t37_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8360 (all A all B all C (l3_lattices(A) & m1_filter_0(B,A) & m1_filter_0(C,A) & v11_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k5_filter_0(A,B,C) = k6_filter_0(A,B,C))) # label(redefinition_k6_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8361 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (-v3_struct_0(A) & v15_lattices(A) & v16_lattices(A) & v10_lattices(A) & l3_lattices(A) & v12_lattices(A) & -v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> v10_lattices(k8_filter_0(A,k2_filter_0(A,B))) & v15_lattices(k8_filter_0(A,k2_filter_0(A,B))) & v16_lattices(k8_filter_0(A,k2_filter_0(A,B))) & l3_lattices(k8_filter_0(A,k2_filter_0(A,B))) & -v3_struct_0(k8_filter_0(A,k2_filter_0(A,B)))))))) # label(t74_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8362 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (all E (m1_subset_1(E,u1_struct_0(k8_filter_0(A,D))) -> (all F (m1_subset_1(F,u1_struct_0(k8_filter_0(A,D))) -> (C = F & B = E -> k4_lattices(A,B,C) = k4_lattices(k8_filter_0(A,D),E,F) & k3_lattices(A,B,C) = k3_lattices(k8_filter_0(A,D),E,F)))))))))))))) # label(t64_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8363 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> m2_relset_1(k10_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)))))) # label(t80_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8364 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> u1_struct_0(A) = k3_relat_1(k10_filter_0(A,B))))))) # label(t85_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8365 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (v14_lattices(A) -> v14_lattices(k8_filter_0(A,B))))))) # label(t66_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8366 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (exists B m1_filter_0(B,A)))) # label(existence_m1_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8367 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_filter_0(A,B,C,D) <-> r2_hidden(k9_filter_0(A,C,D),B)))))))))) # label(d13_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8368 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (l3_lattices(C) & v3_filter_0(C) & v10_lattices(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_filter_0(E,C) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> r1_filter_0(C,E,D,D) & r1_filter_0(A,B,F,F))))))))))))) # label(t88_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8369 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m1_filter_0(C,A) -> ((all D (m1_filter_0(D,A) -> (r1_tarski(B,D) -> r1_tarski(C,D)))) & r1_tarski(B,C) <-> C = k3_filter_0(A,B)))))))) # label(d5_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8370 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r3_lattices(A,D,E) & r3_lattices(A,B,C) -> r3_lattices(A,k3_lattices(A,B,D),k3_lattices(A,E,C)) & r3_lattices(A,k3_lattices(A,B,D),k3_lattices(A,C,E))))))))))))) # label(t4_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8371 $T # label(t36_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8372 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> r3_relat_2(k10_filter_0(A,B),u1_struct_0(A)))))) # label(t82_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8373 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> -(r2_hidden(B,k5_filter_0(A,C,D)) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> -(B = k4_lattices(A,E,F) & r2_hidden(F,D) & r2_hidden(E,C))))))))))))) # label(t45_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8374 (all A all B all C (v10_lattices(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l3_lattices(A) & -v3_struct_0(A) -> -v1_xboole_0(k5_filter_0(A,B,C)))) # label(fc1_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8375 (all A all B all C all D (m1_filter_0(D,B) & m1_filter_0(C,B) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_1_filter_0(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & A = E & (exists F ((exists G (m1_subset_1(G,u1_struct_0(B)) & r2_hidden(G,D) & r2_hidden(F,C) & r3_lattices(B,k4_lattices(B,F,G),E))) & m1_subset_1(F,u1_struct_0(B))))))))) # label(fraenkel_a_3_1_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8376 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,k3_filter_0(A,C))) = k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)) & k3_filter_0(A,k4_subset_1(u1_struct_0(A),k3_filter_0(A,B),C)) = k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)))))))) # label(t47_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8377 (all A (v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_filter_0(E,A) -> (r2_hidden(k4_filter_0(A,C,D),E) & r2_hidden(k4_filter_0(A,B,C),E) -> r2_hidden(k4_filter_0(A,B,D),E)))))))))))) # label(t54_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8378 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r3_lattices(A,B,C) & r3_lattices(A,D,E) -> r3_lattices(A,k4_lattices(A,B,D),k4_lattices(A,C,E)) & r3_lattices(A,k4_lattices(A,B,D),k4_lattices(A,E,C))))))))))))) # label(t5_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8379 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (m1_filter_0(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(k4_lattices(A,C,D),B) <-> r2_hidden(C,B) & r2_hidden(D,B))))))))))) # label(d1_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8380 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) & -v3_struct_0(A) -> r1_relat_2(k10_filter_0(A,B),u1_struct_0(A))))))) # label(t81_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8381 (all A all B (l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v10_lattices(A) & -v3_struct_0(A) -> m1_filter_0(k3_filter_0(A,B),A))) # label(dt_k3_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.31/187.78 8382 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (-v3_struct_0(A) & l3_lattices(A) & v14_lattices(A) & v10_lattices(A) -> r2_hidden(k6_lattices(A),B)))))) # label(t12_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.78 8383 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> m1_filter_0(u1_struct_0(A),A))) # label(t15_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.78 8384 $T # label(t86_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.78 8385 (all A (v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (-v3_struct_0(C) & v10_lattices(C) & v3_filter_0(C) & l3_lattices(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> (all F (m1_subset_1(F,u1_struct_0(C)) -> (all G (m1_filter_0(G,C) -> (all H (m1_subset_1(H,u1_struct_0(A)) -> (all I (m1_subset_1(I,u1_struct_0(A)) -> (all J (m1_subset_1(J,u1_struct_0(A)) -> (r1_filter_0(A,B,I,J) & r1_filter_0(A,B,H,I) -> r1_filter_0(A,B,H,J)) & (r1_filter_0(C,G,E,F) & r1_filter_0(C,G,D,E) -> r1_filter_0(C,G,D,F)))))))))))))))))))))) # label(t90_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.78 8386 $T # label(t43_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.78 8387 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,C) -> r1_tarski(k2_filter_0(A,B),k3_filter_0(A,C))))))))) # label(t29_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.78 8388 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-v3_struct_0(A) & v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> ((all E (m1_subset_1(E,u1_struct_0(A)) -> (r3_lattices(A,k4_lattices(A,B,E),C) -> r3_lattices(A,E,D)))) & r3_lattices(A,k4_lattices(A,B,D),C) <-> k4_filter_0(A,B,C) = D)))))))))) # label(d8_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.78 8389 $T # label(t76_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.78 8390 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_filter_0(B,A) & m1_filter_0(C,A) & v17_lattices(A) -> k7_filter_0(A,B,C) = k5_filter_0(A,B,C))) # label(redefinition_k7_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.78 8391 (all A (-v3_struct_0(A) & v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (r2_hidden(B,D) & r2_hidden(k4_filter_0(A,B,C),D) -> r2_hidden(C,D)))))))))) # label(t41_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.78 8392 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (m1_filter_0(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> r2_hidden(k4_lattices(A,C,D),B)))))) & (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r3_lattices(A,C,D) -> r2_hidden(D,B))))))))))) # label(t9_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.78 8393 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v11_lattices(A) -> v11_lattices(k8_filter_0(A,B))))))) # label(t68_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.78 8394 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B))))) # label(dt_m1_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.78 8395 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (-v3_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) -> v15_lattices(k8_filter_0(A,k2_filter_0(A,B)))))))) # label(t73_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.78 8396 (all A (-v3_struct_0(A) & v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_filter_0(E,A) -> (r2_hidden(k9_filter_0(A,C,D),E) & r2_hidden(k9_filter_0(A,B,C),E) -> r2_hidden(k9_filter_0(A,B,D),E)))))))))))) # label(t78_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8397 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (r2_hidden(k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C),k10_filter_0(A,D)) <-> r1_filter_0(A,D,B,C)))))))))) # label(t87_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8398 (all A all B (l3_lattices(A) & m1_filter_0(B,A) & v10_lattices(A) & -v3_struct_0(A) -> v1_relat_1(k10_filter_0(A,B)))) # label(dt_k10_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8399 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (C = k6_domain_1(u1_struct_0(A),B) -> k2_filter_0(A,B) = k3_filter_0(A,C)))))))) # label(t30_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8400 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> r3_lattices(A,k4_lattices(A,D,B),C) & r3_lattices(A,k4_lattices(A,B,D),C)))))))))) # label(t2_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8401 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,k7_lattices(A,B),C) = k4_filter_0(A,B,C))))))) # label(t55_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8402 $T # label(t21_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8403 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) -> v3_filter_0(k8_filter_0(A,B))))))) # label(t69_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8404 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> a_3_1_filter_0(A,B,C) = k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)))))))) # label(t48_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8405 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (u1_struct_0(A) != B & (all C (m1_filter_0(C,A) -> (r1_tarski(B,C) -> B = C | u1_struct_0(A) = C))) <-> v1_filter_0(B,A)))))) # label(d4_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8406 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_filter_0(A,B) = a_2_0_filter_0(A,B))))) # label(d3_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8407 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (v12_lattices(A) -> v12_lattices(k8_filter_0(A,B))))))) # label(t67_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8408 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v14_lattices(A) -> k6_lattices(k8_filter_0(A,k2_filter_0(A,B))) = k6_lattices(A)))))) # label(t72_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8409 (all A all B (-v3_struct_0(A) & v17_lattices(A) & m1_filter_0(B,A) & l3_lattices(A) & v10_lattices(A) -> m2_relset_1(k12_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & v1_partfun1(k12_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & v8_relat_2(k12_filter_0(A,B)) & v3_relat_2(k12_filter_0(A,B)))) # label(dt_k12_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8410 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> u1_struct_0(k8_filter_0(A,B)) = B & u2_lattices(k8_filter_0(A,B)) = k1_realset1(u2_lattices(A),B) & u1_lattices(k8_filter_0(A,B)) = k1_realset1(u1_lattices(A),B))))) # label(t63_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8411 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k5_lattices(k8_filter_0(A,k2_filter_0(A,B))))))) # label(t71_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8412 $T # label(t61_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8413 (all A all B all C (m1_subset_1(C,u1_struct_0(B)) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_0_filter_0(B,C)) <-> (exists D (r3_lattices(B,C,D) & A = D & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_0_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8414 $T # label(t17_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8415 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(v13_lattices(A) & (all C (m1_filter_0(C,A) -> -(r2_hidden(B,C) & v1_filter_0(C,A)))) & B != k5_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A)))))) # label(t24_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8416 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k9_filter_0(A,B,C) = k9_filter_0(A,C,B))))))) # label(t77_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8417 (all A (-v3_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> k6_filter_0(A,B,C) = k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)))))))) # label(t51_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8418 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v13_lattices(A) -> (all B (m1_filter_0(B,A) -> -(B != u1_struct_0(A) & (all C (m1_filter_0(C,A) -> -(r1_tarski(B,C) & v1_filter_0(C,A)))))))))) # label(t22_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8419 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (r1_filter_0(A,D,B,C) -> r1_filter_0(A,D,C,B)))))))))) # label(t89_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8420 $T # label(t33_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8421 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_lattices(A) = k4_filter_0(A,B,B))))) # label(t38_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8422 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (all E (m1_subset_1(E,u1_struct_0(k8_filter_0(A,D))) -> (all F (m1_subset_1(F,u1_struct_0(k8_filter_0(A,D))) -> (F = C & B = E -> (r3_lattices(k8_filter_0(A,D),E,F) <-> r3_lattices(A,B,C))))))))))))))) # label(t65_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8423 (all A (-v3_struct_0(A) & l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (r2_hidden(B,D) -> r2_hidden(k4_filter_0(A,C,B),D)))))))))) # label(t42_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8424 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (-v3_struct_0(A) & v13_lattices(A) & l3_lattices(A) & r2_hidden(k5_lattices(A),B) & v10_lattices(A) -> B = u1_struct_0(A) & k1_filter_0(A) = B))))) # label(t32_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8425 $T # label(t35_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8426 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v3_filter_0(A) & v10_lattices(A) -> -v3_struct_0(A) & v6_lattices(A) & v10_lattices(A) & v12_lattices(A) & v11_lattices(A) & v9_lattices(A) & v8_lattices(A) & v7_lattices(A) & v5_lattices(A) & v4_lattices(A)))) # label(cc1_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8427 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (-v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,D) & r2_hidden(C,E) -> r2_hidden(k4_lattices(A,C,B),k5_filter_0(A,D,E)) & r2_hidden(k4_lattices(A,B,C),k5_filter_0(A,D,E))))))))))))) # label(t44_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8428 (all A (-v3_struct_0(A) & l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,k3_filter_0(A,k4_subset_1(u1_struct_0(A),D,k6_domain_1(u1_struct_0(A),C)))) -> r2_hidden(k4_filter_0(A,C,B),k3_filter_0(A,D))))))))))) # label(t53_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8429 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & m1_filter_0(C,A) & m1_filter_0(B,A) & l3_lattices(A) & v11_lattices(A) -> m1_filter_0(k6_filter_0(A,B,C),A))) # label(dt_k6_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8430 (all A all B (v10_lattices(A) & m1_filter_0(B,A) & l3_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(k8_filter_0(A,B)) & v5_lattices(k8_filter_0(A,B)) & v6_lattices(k8_filter_0(A,B)) & v7_lattices(k8_filter_0(A,B)) & v8_lattices(k8_filter_0(A,B)) & v9_lattices(k8_filter_0(A,B)) & v10_lattices(k8_filter_0(A,B)) & v4_lattices(k8_filter_0(A,B)) & v3_lattices(k8_filter_0(A,B)))) # label(fc2_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8431 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> r1_tarski(B,k5_filter_0(A,B,C)) & r1_tarski(C,k5_filter_0(A,B,C)))))))) # label(t49_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8432 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) -> r8_relat_2(k10_filter_0(A,B),u1_struct_0(A))))))) # label(t83_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8433 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (B != u1_struct_0(A) & (all C (m1_subset_1(C,u1_struct_0(A)) -> r2_hidden(k7_lattices(A,C),B) | r2_hidden(C,B))) <-> v1_filter_0(B,A)))))) # label(t57_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8434 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) <-> k4_lattices(A,B,k7_lattices(A,C)) = k5_lattices(A)))))))) # label(t56_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8435 (all A all B all C all D (v10_lattices(B) & l3_lattices(B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & -v1_xboole_0(D) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & -v1_xboole_0(C) & -v3_struct_0(B) -> (r2_hidden(A,a_3_0_filter_0(B,C,D)) <-> (exists E exists F (m1_subset_1(E,u1_struct_0(B)) & k4_lattices(B,E,F) = A & r2_hidden(F,D) & r2_hidden(E,C) & m1_subset_1(F,u1_struct_0(B))))))) # label(fraenkel_a_3_0_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8436 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & v14_lattices(A) & l3_lattices(A) & v10_lattices(A) -> m1_filter_0(k6_domain_1(u1_struct_0(A),k6_lattices(A)),A)))) # label(t13_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8437 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (l3_lattices(A) & v13_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k1_filter_0(A) = k2_filter_0(A,k5_lattices(A))))) # label(t20_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8438 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (-v3_struct_0(A) & l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) -> v8_relat_2(k10_filter_0(A,B)) & v1_partfun1(k10_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k10_filter_0(A,B),u1_struct_0(A),u1_struct_0(A)) & v3_relat_2(k10_filter_0(A,B))))))) # label(t84_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8439 (all A all B all C (v10_lattices(A) & m1_filter_0(B,A) & m1_filter_0(C,A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> m1_filter_0(k7_filter_0(A,B,C),A))) # label(dt_k7_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8440 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> k5_filter_0(A,B,C) = a_3_0_filter_0(A,B,C))))))) # label(d9_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8441 (all A (v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> v3_filter_0(A))) # label(t40_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8442 $T # label(t8_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8443 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,D,C) & r3_lattices(A,B,C) -> r3_lattices(A,k3_lattices(A,B,D),C)))))))))) # label(t6_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8444 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> r3_lattices(A,B,k3_lattices(A,D,C)) & r3_lattices(A,B,k3_lattices(A,C,D))))))))))) # label(t3_filter_0) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8445 (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]. 188.41/187.79 8446 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> r1_tarski(k7_group_2(A,C),k2_group_2(A,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]. 188.41/187.79 8447 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> 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]. 188.41/187.79 8448 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> m1_group_2(A,A))) # label(t63_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8449 (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) -> (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]. 188.41/187.79 8450 $T # label(t86_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8451 (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,k13_group_2(A,C,B)) & r2_hidden(B,k12_group_2(A,C,B)))))))) # label(t130_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8452 $T # label(t46_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8453 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> (m1_group_2(B,C) -> m1_group_2(k9_group_2(A,B,D),C)))))))))) # label(t108_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8454 (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,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),B,C),D) = k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_group_2(A,B,D),k2_group_2(A,C,D)))))))))) # label(t17_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8455 (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) -> (k6_domain_1(u1_struct_0(A),k2_group_1(A)) = u1_struct_0(B) <-> k5_group_2(A) = B))))) # label(d7_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8456 $T # label(t131_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8457 (all A (-v3_struct_0(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v3_group_1(B) & l1_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]. 188.41/187.79 8458 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (v4_group_1(A) -> k2_group_2(A,k4_group_2(A,D,B),C) = k2_group_2(A,B,k3_group_2(A,D,C))))))))))) # label(t36_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8459 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (v6_group_1(A) -> 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]. 188.41/187.79 8460 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k4_group_2(A,C,k7_group_2(A,B)) = k13_group_2(A,B,C))))))) # label(d14_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8461 (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]. 188.41/187.79 8462 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_group_1(k5_group_2(A)) & m1_group_2(k5_group_2(A),A))) # label(dt_k5_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8463 (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]. 188.41/187.79 8464 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k2_group_2(A,k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),B,C),D),k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_group_2(A,B,D),k2_group_2(A,C,D))))))))))) # label(t19_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8465 (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]. 188.41/187.79 8466 (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) -> (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]. 188.41/187.79 8467 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k7_domain_1(u1_struct_0(A),k1_group_1(A,B,D),k1_group_1(A,C,D)) = k2_group_2(A,k7_domain_1(u1_struct_0(A),B,C),k6_domain_1(u1_struct_0(A),D)))))))))) # label(t24_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8468 $T # label(t158_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8469 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_domain_1(u1_struct_0(A),B) = k12_group_2(A,k5_group_2(A),B) & 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]. 188.41/187.79 8470 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> r1_tarski(k7_group_2(A,C),k2_group_2(A,k12_group_2(A,C,k3_group_1(A,B)),k12_group_2(A,C,B))) & r1_tarski(k7_group_2(A,C),k2_group_2(A,k12_group_2(A,C,B),k12_group_2(A,C,k3_group_1(A,B)))))))))) # label(t140_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8471 (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(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]. 188.41/187.79 8472 (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 & k1_group_2(A,B) = k1_xboole_0) & -(B = k1_xboole_0 & k1_group_2(A,B) != k1_xboole_0))))) # label(t10_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8473 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> r2_hidden(k3_group_1(A,C),B)))) -> B = k1_group_2(A,B)))))) # label(t27_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8474 (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) -> k1_card_1(k13_group_2(A,C,B)) = k8_group_1(C) & k1_card_1(k12_group_2(A,C,B)) = k8_group_1(C))))))) # label(t155_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8475 (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_group_2(D,B) -> ((exists E (k1_group_1(B,E,C) = A & r1_rlvect_1(D,E) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,k13_group_2(B,D,C))))))))) # label(t126_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8476 (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) -> (r1_rlvect_1(C,B) -> r1_rlvect_1(C,k3_group_1(A,B))))))))) # label(t60_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8477 (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]. 188.41/187.79 8478 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> m1_group_2(k9_group_2(A,B,C),B) & m1_group_2(k9_group_2(A,B,C),C))))))) # label(t106_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8479 (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) -> v4_group_1(B))))) # label(cc1_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8480 (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))) -> k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_group_2(A,B,C),k2_group_2(A,B,D)) = k2_group_2(A,B,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),C,D)))))))))) # label(t16_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8481 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k7_group_2(A,B),k7_group_2(A,C)) = k7_group_2(A,k8_group_2(A,B,C)))))))) # label(t98_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8482 (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) -> k7_group_2(A,B) = k12_group_2(A,B,k2_group_1(A)) & k7_group_2(A,B) = k13_group_2(A,B,k2_group_1(A)))))) # label(t132_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8483 (all A all B (l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> ((exists E (r2_hidden(E,C) & A = k1_group_1(B,E,D) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,k4_group_2(B,D,C))))))))) # label(t34_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8484 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> r1_group_2(A,k9_group_2(A,B,k6_group_2(A)),B) & r1_group_2(A,k9_group_2(A,k6_group_2(A),B),B))))) # label(t104_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8485 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> k1_xboole_0 = k1_group_2(A,k1_subset_1(u1_struct_0(A))))) # label(t8_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8486 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,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]. 188.41/187.79 8487 (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) -> (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]. 188.41/187.79 8488 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> ((exists E (m1_subset_1(E,u1_struct_0(A)) & D = k13_group_2(A,B,E))) <-> r2_hidden(D,C)))) <-> k15_group_2(A,B) = C))))))) # label(d16_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8489 (all A (l1_group_1(A) & v7_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> v4_group_1(B) & v7_group_1(B))))) # label(cc2_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8490 (all A all B all C (v3_group_1(A) & m1_group_2(B,A) & v1_group_1(C) & m1_group_2(C,A) & v1_group_1(B) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (r1_group_2(A,B,C) <-> B = C))) # label(redefinition_r1_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8491 $T # label(t1_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8492 (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_1(B) -> (k9_group_1(B) = k9_group_1(A) & v6_group_1(A) -> B = A))))) # label(t85_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8493 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_group_2(A,B) = a_2_0_group_2(A,B))))) # label(d1_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8494 (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)))) & (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)))))) -> B = k2_group_2(A,B,B)))))) # label(t26_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8495 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> (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]. 188.41/187.79 8496 $T # label(t95_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8497 (all A all B all C (v3_group_1(A) & v4_group_1(A) & v1_group_1(C) & m1_group_2(C,A) & m1_group_2(B,A) & v1_group_1(B) & l1_group_1(A) & -v3_struct_0(A) -> r1_group_2(A,B,B))) # label(reflexivity_r1_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8498 (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) -> (exists D (v1_group_1(D) & u1_struct_0(D) = k4_group_2(A,k3_group_1(A,B),k12_group_2(A,C,B)) & m1_group_2(D,A))))))))) # label(t150_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8499 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) -> m1_group_2(k9_group_2(A,B,C),A) & v1_group_1(k9_group_2(A,B,C)))) # label(dt_k9_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8500 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_group_2(D,A) -> k2_group_2(A,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]. 188.41/187.79 8501 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & v3_group_1(A) -> k13_group_2(A,C,B) = k12_group_2(A,C,B)))))))) # label(t135_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8502 (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) & v1_group_1(D) -> (k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k7_group_2(A,B),k7_group_2(A,C)) = u1_struct_0(D) <-> k8_group_2(A,B,C) = D))))))))) # label(d10_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8503 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> (-r1_xboole_0(k12_group_2(A,D,B),k12_group_2(A,D,C)) <-> k12_group_2(A,D,B) = k12_group_2(A,D,C)))))))))) # label(t138_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8504 (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 (r2_hidden(E,C) & k1_group_1(B,D,E) = A & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t33_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8505 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> k3_group_2(A,B,k12_group_2(A,D,C)) = k12_group_2(A,D,k1_group_1(A,B,C)))))))))) # label(t127_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8506 (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_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]. 188.41/187.79 8507 (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) -> ((exists D (D = k14_group_2(A,B) & C = k4_card_1(D) & v1_finset_1(D))) <-> k17_group_2(A,B) = C)))))))) # label(d18_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8508 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> r1_rlvect_1(B,C))) -> g1_group_1(u1_struct_0(A),u1_group_1(A)) = g1_group_1(u1_struct_0(B),u1_group_1(B))))))) # label(t71_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8509 $T # label(t74_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8510 (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) -> 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]. 188.41/187.79 8511 (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,C) -> (v6_group_1(A) & B = D -> k2_nat_1(k17_group_2(C,D),k17_group_2(A,C)) = k17_group_2(A,B)))))))))) # label(t179_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8512 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (m1_group_2(C,B) <-> r1_group_2(A,k9_group_2(A,C,B),C)))))))) # label(t107_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8513 $T # label(t72_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8514 (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]. 188.41/187.79 8515 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v7_group_1(A) & v4_group_1(A) -> k11_group_2(A,C,B) = k10_group_2(A,C,B)))))))) # label(t122_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8516 $T # label(t31_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8517 (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]. 188.41/187.79 8518 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> (k8_group_2(A,B,C) = D -> 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]. 188.41/187.79 8519 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (v4_group_1(A) -> k2_group_2(A,k3_group_2(A,D,B),C) = k3_group_2(A,D,k2_group_2(A,B,C))))))))))) # label(t35_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8520 (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) -> (k12_group_2(A,C,B) = k7_group_2(A,C) <-> r1_rlvect_1(C,B)))))))) # label(t136_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8521 (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)) -> (exists C (v1_finset_1(C) & k4_card_1(C) = k17_group_2(A,B) & k15_group_2(A,B) = C)) & (exists C (k17_group_2(A,B) = k4_card_1(C) & C = k14_group_2(A,B) & v1_finset_1(C)))))))) # label(t176_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8522 $T # label(t161_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8523 (all A (v3_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (v6_group_1(A) -> v6_group_1(B)))))) # label(t48_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.79 8524 $T # label(t45_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8525 (all A all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (m1_group_2(C,B) -> (all D (m1_group_2(D,B) -> (r1_rlvect_1(D,A) & r1_rlvect_1(C,A) <-> r1_rlvect_1(k8_group_2(B,C,D),A)))))))) # label(t99_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8526 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & m1_group_2(B,A) & m1_subset_1(C,u1_struct_0(A)) & l1_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]. 188.41/187.80 8527 (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_subset_1(D,u1_struct_0(C)) -> (B = D -> k3_group_1(C,D) = k3_group_1(A,B)))))))))) # label(t57_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8528 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> k7_group_2(A,B) != k1_xboole_0)))) # label(t87_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8529 (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) -> k4_group_2(A,C,k12_group_2(A,D,B)) = k3_group_2(A,B,k13_group_2(A,D,C)))))))))) # label(t128_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8530 $T # label(t162_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8531 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> -((all D (v1_finset_1(D) -> (all E (v1_finset_1(E) -> -(k9_group_1(C) = k4_card_1(D) & k9_group_1(C) = k4_card_1(E) & E = k13_group_2(A,C,B) & D = k12_group_2(A,C,B)))))) & v6_group_1(C)))))))) # label(t156_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8532 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k10_group_2(A,B,C) = k2_group_2(A,C,k7_group_2(A,B)))))))) # label(d11_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8533 (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]. 188.41/187.80 8534 (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),k13_group_2(A,D,C)))))))))) # label(t152_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8535 (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]. 188.41/187.80 8536 (all A (-v3_struct_0(A) & l1_group_1(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]. 188.41/187.80 8537 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_group_2(k6_group_2(A),A) & v1_group_1(k6_group_2(A)))) # label(dt_k6_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8538 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> r2_wellord2(k12_group_2(A,D,B),k12_group_2(A,D,C)))))))))) # label(t151_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8539 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> k14_group_2(A,k5_group_2(A)) = a_1_0_group_2(A))) # label(t168_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8540 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) -> k8_group_2(A,B,C) = k9_group_2(A,B,C))) # label(redefinition_k9_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8541 (all A all B all C all D (-v3_struct_0(B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_group_1(B) -> (r2_hidden(A,a_3_0_group_2(B,C,D)) <-> (exists E exists F (m1_subset_1(F,u1_struct_0(B)) & r2_hidden(E,C) & r2_hidden(F,D) & A = k1_group_1(B,E,F) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_0_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8542 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> r1_tarski(k8_group_1(B),k8_group_1(A)))))) # label(t83_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8543 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k9_domain_1(u1_struct_0(A),k1_group_1(A,B,D),k1_group_1(A,B,E),k1_group_1(A,C,D),k1_group_1(A,C,E)) = k2_group_2(A,k7_domain_1(u1_struct_0(A),B,C),k7_domain_1(u1_struct_0(A),D,E)))))))))))) # label(t25_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8544 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) -> (all B (m1_group_2(B,A) -> m1_group_2(B,k6_group_2(A)))))) # label(t78_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8545 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(C) & m1_group_2(C,A) & m1_group_2(B,A) & v1_group_1(B) & v3_group_1(A) -> (r1_group_2(A,B,C) -> r1_group_2(A,C,B)))) # label(symmetry_r1_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8546 (all A all B all C (v3_group_1(A) & m1_group_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k10_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k10_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8547 (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) -> 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]. 188.41/187.80 8548 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k17_group_2(A,k6_group_2(A)) = np__1)) # label(t180_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8549 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(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]. 188.41/187.80 8550 (all A all B all C (-v3_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) -> 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]. 188.41/187.80 8551 (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 != B & (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> r2_hidden(k3_group_1(A,C),B)))) & (all C (v1_group_1(C) & m1_group_2(C,A) -> 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))))))))))) # label(t61_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8552 (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))) -> (B != k1_xboole_0 -> k2_group_2(A,B,k2_subset_1(u1_struct_0(A))) = u1_struct_0(A) & k2_group_2(A,k2_subset_1(u1_struct_0(A)),B) = u1_struct_0(A)))))) # label(t21_group_2) # label(axiom) # label(non_clause). [assumption]. 188.41/187.80 8553 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> 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]. 188.43/187.80 8554 $T # label(t47_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8555 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> k5_group_2(B) = k5_group_2(A))))) # label(t75_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8556 (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]. 188.43/187.80 8557 (all A all B all C (m1_group_2(B,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) -> 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]. 188.43/187.80 8558 (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]. 188.43/187.80 8559 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> 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]. 188.43/187.80 8560 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (r1_group_2(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_rlvect_1(C,D) <-> r1_rlvect_1(B,D))))))))))) # label(d6_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8561 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_2(A,k7_domain_1(u1_struct_0(A),B,C)) = k7_domain_1(u1_struct_0(A),k3_group_1(A,B),k3_group_1(A,C)))))))) # label(t7_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8562 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,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]. 188.43/187.80 8563 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_group_2(D,A) -> k2_group_2(A,B,k10_group_2(A,D,C)) = k10_group_2(A,D,k2_group_2(A,B,C)))))))))) # label(t116_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8564 (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 (-v3_struct_0(C) & v3_group_1(C) & v4_group_1(C) & l1_group_1(C) -> (m1_group_2(B,C) & m1_group_2(A,B) -> m1_group_2(A,C)))))))) # label(t65_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8565 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (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]. 188.43/187.80 8566 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (v6_group_1(A) -> k9_group_1(A) = k17_group_2(A,k5_group_2(A))))) # label(t183_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8567 (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) -> (k14_group_2(A,B) = a_1_0_group_2(A) -> r1_group_2(A,B,k5_group_2(A))))))) # label(t170_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8568 (all A (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (k15_group_2(A,B) = k1_tarski(u1_struct_0(A)) -> B = A))))) # label(t174_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8569 (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) -> (m1_group_2(A,B) & m1_group_2(B,A) -> g1_group_1(u1_struct_0(A),u1_group_1(A)) = g1_group_1(u1_struct_0(B),u1_group_1(B))))))) # label(t64_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8570 (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]. 188.43/187.80 8571 $T # label(t2_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8572 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k3_group_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k3_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8573 (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]. 188.43/187.80 8574 (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,k1_group_1(A,B,C))))))))))) # label(t59_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8575 (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(k13_group_2(A,D,B),k13_group_2(A,D,C)) <-> k13_group_2(A,D,B) = k13_group_2(A,D,C)))))))))) # label(t144_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8576 (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_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]. 188.43/187.80 8577 (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,D) & m1_group_2(B,C) -> m1_group_2(B,k9_group_2(A,C,D))))))))))) # label(t109_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8578 (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]. 188.43/187.80 8579 (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]. 188.43/187.80 8580 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m1_subset_1(C,u1_struct_0(A)))))))) # label(t51_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8581 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m1_subset_1(k18_group_2(A,B),k5_finsub_1(A)))) # label(dt_k18_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8582 (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) -> (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]. 188.43/187.80 8583 (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) -> -(-v3_struct_0(A) & v3_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) & v4_group_1(A)))))))) # label(t94_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8584 (all A all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (m1_group_2(C,B) -> (r2_hidden(A,k7_group_2(B,C)) <-> r1_rlvect_1(C,A)))))) # label(t88_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8585 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k2_group_2(A,B,k11_group_2(A,C,k7_group_2(A,D))) = k10_group_2(A,D,k10_group_2(A,C,B)))))))))) # label(t119_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8586 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(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]. 188.43/187.80 8587 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k13_group_2(A,k9_group_2(A,C,D),B) = k3_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k13_group_2(A,C,B),k13_group_2(A,D,B)))))))))) # label(t149_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8588 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> -(k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) = k2_group_2(A,k7_group_2(A,C),k7_group_2(A,B)) & (all D (v1_group_1(D) & m1_group_2(D,A) -> u1_struct_0(D) != k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C))))) & ((exists D (k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) = u1_struct_0(D) & m1_group_2(D,A))) -> k2_group_2(A,k7_group_2(A,C),k7_group_2(A,B)) = k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C))))))))) # label(t93_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8589 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k2_group_2(A,k6_domain_1(u1_struct_0(A),B),C) = k3_group_2(A,B,C))))))) # label(d3_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8590 $T # label(t11_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8591 $T # label(t160_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8592 (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) -> (k12_group_2(A,D,C) = k12_group_2(A,D,B) <-> r1_rlvect_1(D,k1_group_1(A,k3_group_1(A,C),B))))))))))) # label(t137_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8593 $T # label(t157_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8594 (all A all B (-v3_struct_0(A) & v4_group_1(A) & m1_group_2(B,A) & l1_group_1(A) & v3_group_1(A) -> v1_card_1(k16_group_2(A,B)))) # label(dt_k16_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8595 (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(k13_group_2(A,D,B),k13_group_2(A,D,C)))))))))) # label(t153_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8596 (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) -> k4_group_1(B) = k8_relset_1(u1_struct_0(A),u1_struct_0(A),k4_group_1(A),u1_struct_0(B)))))) # label(t58_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8597 (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)) -> k12_group_2(A,B,C) = k3_group_2(A,C,k7_group_2(A,B)))))))) # label(d13_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8598 (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) = k3_group_2(A,B,k2_subset_1(u1_struct_0(A))) & u1_struct_0(A) = k4_group_2(A,B,k2_subset_1(u1_struct_0(A))))))) # label(t42_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8599 (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(E,C) & r2_hidden(D,B) -> k1_group_1(A,D,E) = k1_group_1(A,E,D)))))) -> k2_group_2(A,B,C) = k2_group_2(A,C,B)))))))) # label(t28_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8600 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> r1_group_2(A,k8_group_2(A,B,C),k8_group_2(A,C,B)))))))) # label(t101_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8601 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k6_domain_1(u1_struct_0(A),k1_group_1(A,B,C)) = k2_group_2(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C)))))))) # label(t22_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8602 $T # label(t124_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8603 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> r1_rlvect_1(C,k2_group_1(B)))))))) # label(t56_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8604 (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) -> (v6_group_1(A) & k9_group_1(A) = k17_group_2(A,B) -> r1_group_2(A,B,k5_group_2(A))))))) # label(t184_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8605 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> u1_struct_0(A) = k12_group_2(A,k6_group_2(A),B) & u1_struct_0(A) = k13_group_2(A,k6_group_2(A),B))))) # label(t134_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8606 $T # label(t123_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8607 (all A (v4_group_1(A) & l1_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) -> (k1_tarski(u1_struct_0(A)) = k14_group_2(A,B) -> A = B))))) # label(t173_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8608 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) -> A = k9_group_2(A,k6_group_2(A),k6_group_2(A)))) # label(t105_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8609 (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]. 188.43/187.80 8610 $T # label(t163_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8611 (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,D,k3_group_2(A,C,B)) = k3_group_2(A,C,k4_group_2(A,D,B))))))))))) # label(t39_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8612 (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) = k1_group_2(A,k7_group_2(A,B)))))) # label(t92_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8613 (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) & k3_tarski(B) = C))) & (all C -(r2_hidden(C,B) & (all D (v1_finset_1(D) -> -(D = C & (all E (r2_hidden(E,B) -> r1_xboole_0(C,E) & r2_wellord2(C,E) | E = C)) & A = k4_card_1(D))))))))))) # label(t186_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8614 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k2_group_1(C) = k2_group_1(B))))))) # label(t54_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8615 (all A all B all C (v4_group_1(A) & m1_group_2(C,A) & m1_group_2(B,A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k9_group_2(A,C,B) = k9_group_2(A,B,C))) # label(commutativity_k9_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8616 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> k6_group_2(A) = g1_group_1(u1_struct_0(A),u1_group_1(A)))) # label(d8_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8617 $T # label(t4_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8618 (all A (-v3_struct_0(A) & l1_group_1(A) & v7_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))) -> 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]. 188.43/187.80 8619 $T # label(t159_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8620 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> (r1_rlvect_1(D,k1_group_1(A,C,k3_group_1(A,B))) <-> k13_group_2(A,D,C) = k13_group_2(A,D,B)))))))))) # label(t143_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8621 (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) -> (v6_group_1(B) | v6_group_1(C) -> v6_group_1(k9_group_2(A,B,C))))))))) # label(t111_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8622 (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 (r2_hidden(F,D) & r2_hidden(E,C) & A = k1_group_1(B,E,F) & m1_subset_1(F,u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t12_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8623 (all A all B (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_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]. 188.43/187.80 8624 $T # label(t112_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8625 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> k4_group_2(A,C,k13_group_2(A,D,B)) = k13_group_2(A,D,k1_group_1(A,B,C)))))))))) # label(t129_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8626 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (v1_finset_1(k14_group_2(A,B)) & k17_group_2(A,B) = np__1 -> A = B))))) # label(t181_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8627 (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) -> (u1_struct_0(B) = u1_struct_0(A) -> B = A))))) # label(t70_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8628 (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]. 188.43/187.80 8629 (all A (-v3_struct_0(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (all F (m1_subset_1(F,u1_struct_0(D)) -> (B = E & F = C -> k1_group_1(A,B,C) = k1_group_1(D,E,F)))))))))))))) # label(t52_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8630 (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) -> (np__1 = k9_group_1(B) & v6_group_1(B) -> r1_group_2(A,B,k5_group_2(A))))))) # label(t82_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8631 $T # label(t32_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8632 (all A (v3_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k4_group_2(A,k2_group_1(A),B) = B & k3_group_2(A,k2_group_1(A),B) = B)))) # label(t43_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8633 (all A all B all C (v4_group_1(A) & m1_group_2(C,A) & m1_group_2(B,A) & l1_group_1(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]. 188.43/187.80 8634 (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,B,k1_subset_1(u1_struct_0(A))) = k1_xboole_0 & k2_group_2(A,k1_subset_1(u1_struct_0(A)),B) = k1_xboole_0)))) # label(t20_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8635 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (v4_group_1(A) -> k4_group_2(A,D,k2_group_2(A,B,C)) = k2_group_2(A,B,k4_group_2(A,D,C))))))))))) # label(t37_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8636 $T # label(t113_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8637 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_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]. 188.43/187.80 8638 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> r1_group_2(A,k9_group_2(A,k9_group_2(A,B,C),D),k9_group_2(A,B,k9_group_2(A,C,D))))))))))) # label(t102_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8639 (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))) -> (v4_group_1(A) -> k2_group_2(A,B,k2_group_2(A,C,D)) = k2_group_2(A,k2_group_2(A,B,C),D)))))))))) # label(t14_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8640 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(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]. 188.43/187.80 8641 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> k9_group_1(k5_group_2(A)) = np__1)) # label(t81_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8642 (all A (l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> r1_rlvect_1(A,C))))))) # label(t50_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8643 (all A (v3_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (exists B m1_group_2(B,A)))) # label(existence_m1_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8644 (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) -> m1_group_2(k5_group_2(A),B))))) # label(t77_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8645 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k2_group_2(A,C,k6_domain_1(u1_struct_0(A),B)) = k4_group_2(A,B,C))))))) # label(d4_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8646 $T # label(t73_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8647 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> k1_group_2(A,k2_subset_1(u1_struct_0(A))) = u1_struct_0(A))) # label(t9_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8648 (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) & l1_group_1(A) & v7_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> v7_group_1(B)))))) # label(t62_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8649 (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]. 188.43/187.80 8650 (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]. 188.43/187.80 8651 (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)) & k16_group_2(A,B) = k1_card_1(k15_group_2(A,B)))))) # label(t175_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8652 (all A all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> ((exists D (r2_hidden(D,C) & A = k3_group_1(B,D) & 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]. 188.43/187.80 8653 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> k18_group_2(A,B) = k1_tarski(B))) # label(redefinition_k18_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8654 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (exists B (v4_group_1(B) & v3_group_1(B) & v2_group_1(B) & v1_group_1(B) & -v3_struct_0(B) & m1_group_2(B,A))))) # label(rc1_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8655 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (v6_group_1(A) -> r1_xreal_0(k9_group_1(B),k9_group_1(A))))))) # label(t84_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8656 $T # label(t96_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8657 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> (r2_hidden(C,k7_group_2(A,D)) & r2_hidden(B,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]. 188.43/187.80 8658 (all A all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> (r2_hidden(A,k12_group_2(B,D,C)) <-> (exists E (r1_rlvect_1(D,E) & k1_group_1(B,C,E) = A & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t125_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.80 8659 (all A (v3_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & -v3_struct_0(A) -> k3_group_2(A,B,C) = k4_group_2(A,B,C)))))))) # label(t44_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8660 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> r2_wellord2(k14_group_2(A,B),k15_group_2(A,B)))))) # label(t166_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8661 (all A all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_1_0_group_2(B)) <-> (exists C (m1_subset_1(C,u1_struct_0(B)) & k6_domain_1(u1_struct_0(B),C) = A))))) # label(fraenkel_a_1_0_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8662 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_group_2(D,B) -> (r2_hidden(A,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]. 188.43/187.81 8663 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> k16_group_2(A,k5_group_2(A)) = k8_group_1(A))) # label(t182_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8664 (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]. 188.43/187.81 8665 (all A all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_group_2(D,B) -> ((exists E ((exists F (m1_subset_1(F,u1_struct_0(B)) & A = k1_group_1(B,E,F) & r1_rlvect_1(D,F) & r2_hidden(E,C))) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,k10_group_2(B,D,C))))))))) # label(t114_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8666 (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) -> k5_group_2(C) = k5_group_2(B))))))) # label(t76_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8667 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (v6_group_1(A) -> 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]. 188.43/187.81 8668 (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) -> k5_setfam_1(u1_struct_0(A),k15_group_2(A,B)) = u1_struct_0(A) & u1_struct_0(A) = k5_setfam_1(u1_struct_0(A),k14_group_2(A,B)))))) # label(t167_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8669 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_group_2(D,A) -> k2_group_2(A,k11_group_2(A,D,B),C) = k11_group_2(A,D,k2_group_2(A,B,C)))))))))) # label(t118_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8670 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (k1_xboole_0 != B & C != k1_xboole_0 <-> k1_xboole_0 != k2_group_2(A,B,C)))))))) # label(t13_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8671 (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_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]. 188.43/187.81 8672 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> (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]. 188.43/187.81 8673 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_rlvect_1(B,D) <-> r1_rlvect_1(C,D)))) -> g1_group_1(u1_struct_0(B),u1_group_1(B)) = g1_group_1(u1_struct_0(C),u1_group_1(C))))))))) # label(t69_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8674 (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_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]. 188.43/187.81 8675 (all A all B (v3_group_1(A) & v4_group_1(A) & m1_group_2(B,A) & l1_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k15_group_2(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k15_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8676 (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) -> r1_group_2(A,k8_group_2(A,B,B),B))))) # label(t100_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8677 (all A all B all C (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_group_1(B) -> ((exists D (A = k3_group_1(B,D) & r2_hidden(D,C) & m1_subset_1(D,u1_struct_0(B)))) <-> r2_hidden(A,a_2_0_group_2(B,C))))) # label(fraenkel_a_2_0_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8678 (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))) -> ((exists E (m1_subset_1(E,u1_struct_0(A)) & k12_group_2(A,B,E) = D)) <-> r2_hidden(D,C)))) <-> C = k14_group_2(A,B)))))))) # label(d15_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8679 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> m1_group_2(B,C)))))))) # label(t66_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8680 (all A all B (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & -v3_struct_0(A) -> m2_subset_1(k17_group_2(A,B),k1_numbers,k5_numbers))) # label(dt_k17_group_2) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8681 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> k2_vectsp_4(A,B) = g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)))))) # label(d4_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8682 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> r1_rlvect_1(C,k1_rlvect_1(B)))))))) # label(t25_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8683 (all A (v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (u1_struct_0(D) = u1_struct_0(C) -> C = D))))))))) # label(t37_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8684 (all A all B (-v3_struct_0(B) & v6_rlvect_1(B) & v4_group_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v7_vectsp_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v12_vectsp_1(C,B) & l4_vectsp_1(C,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_vectsp_4(E,B,C) -> ((exists F (A = k4_rlvect_1(C,D,F) & r1_rlvect_1(E,F) & m1_subset_1(F,u1_struct_0(C)))) <-> r2_hidden(A,k3_vectsp_4(B,C,D,E))))))))))) # label(t57_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8685 (all A (-v3_struct_0(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (m2_vectsp_4(C,A,B,k2_vectsp_4(A,B)) -> u1_struct_0(B) = C))))))) # label(t91_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8686 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k6_domain_1(u1_struct_0(B),C) = k3_vectsp_4(A,B,C,k1_vectsp_4(A,B)))))))) # label(t61_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8687 (all A all B (v3_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (exists C m1_vectsp_4(C,A,B)))) # label(existence_m1_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8688 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (r1_rlvect_1(D,C) -> r2_hidden(k5_rlvect_1(B,C),k3_vectsp_4(A,B,C,D))))))))))) # label(t74_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8689 $T # label(t55_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8690 (all A all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v4_group_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l4_vectsp_1(C,B) & v12_vectsp_1(C,B) & -v3_struct_0(C) -> (all D (m1_vectsp_4(D,B,C) -> (all E (m1_vectsp_4(E,B,C) -> (r1_rlvect_1(D,A) & m1_vectsp_4(D,B,E) -> r1_rlvect_1(E,A)))))))))) # label(t16_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8691 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_vectsp_4(A,B,C,k2_vectsp_4(A,B)) = u1_struct_0(B))))))) # label(t62_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8692 $T # label(t12_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8693 $T # label(t11_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8694 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,D) -> k3_vectsp_4(A,B,k6_vectsp_1(A,B,C,D),E) = u1_struct_0(E)))))))))))) # label(t65_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8695 $T # label(t100_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.43/187.81 8696 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> k1_rlvect_1(C) = k1_rlvect_1(D))))))))) # label(t20_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8697 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (v4_rlvect_1(C) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (v4_rlvect_1(D) & v5_rlvect_1(D) & l4_vectsp_1(D,A) & v12_vectsp_1(D,A) & v6_rlvect_1(D) & v3_rlvect_1(D) & -v3_struct_0(D) -> (m1_vectsp_4(B,A,C) & m1_vectsp_4(C,A,D) -> m1_vectsp_4(B,A,D)))))))))) # label(t34_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8698 $T # label(t101_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8699 $T # label(t14_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8700 (all A (v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> a_4_1_vectsp_4(A,B,C,D) = k3_vectsp_4(A,B,C,D))))))))) # label(d5_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8701 (all A (v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> (all E (m1_vectsp_4(E,A,B) & v11_vectsp_1(E,A) -> (k3_vectsp_4(A,B,C,E) = k3_vectsp_4(A,B,C,D) <-> D = E))))))))))) # label(t82_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8702 (all A (v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> m1_subset_1(D,u1_struct_0(B)))))))))) # label(t18_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8703 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v1_vectsp_4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(D,C) & r2_hidden(E,C) -> r2_hidden(k6_rlvect_1(B,D,E),C))))))))))))) # label(t6_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8704 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> -((all F (m1_subset_1(F,u1_struct_0(B)) -> -(D = k6_rlvect_1(B,C,F) & r1_rlvect_1(E,F)))) & k3_vectsp_4(A,B,C,E) = k3_vectsp_4(A,B,D,E)))))))))))) # label(t81_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8705 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (r1_rlvect_1(D,C) -> r1_rlvect_1(D,k5_rlvect_1(B,C))))))))))) # label(t30_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8706 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m2_vectsp_4(D,A,B,C) -> (v1_vectsp_4(D,A,B) <-> D = u1_struct_0(C)))))))))) # label(t85_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8707 (all A all B all C all D all E (v3_rlvect_1(B) & v7_vectsp_1(B) & l3_vectsp_1(B) & v4_rlvect_1(C) & v12_vectsp_1(C,B) & m1_subset_1(D,u1_struct_0(C)) & m1_vectsp_4(E,B,C) & l4_vectsp_1(C,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) & v8_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_4_1_vectsp_4(B,C,D,E)) <-> (exists F (m1_subset_1(F,u1_struct_0(C)) & k4_rlvect_1(C,D,F) = A & r1_rlvect_1(E,F)))))) # label(fraenkel_a_4_1_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8708 (all A (-v3_struct_0(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,D) -> r1_rlvect_1(E,k6_vectsp_1(A,B,C,D))))))))))))) # label(t29_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8709 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,C) <-> k3_vectsp_4(A,B,D,E) = k3_vectsp_4(A,B,k6_rlvect_1(B,D,C),E)))))))))))) # label(t69_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8710 (all A all B (v3_rlvect_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v3_rlvect_1(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all C (m1_vectsp_4(C,A,B) -> -v3_struct_0(C) & v4_rlvect_1(C) & l4_vectsp_1(C,A) & v12_vectsp_1(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v3_rlvect_1(C))))) # label(dt_m1_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8711 $T # label(t2_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8712 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> m1_vectsp_4(k1_vectsp_4(A,C),A,B))))))) # label(t49_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8713 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r2_hidden(C,k3_vectsp_4(A,B,D,E)) <-> (exists F (m1_subset_1(F,u1_struct_0(B)) & k6_rlvect_1(B,D,F) = C & r1_rlvect_1(E,F)))))))))))))) # label(t78_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8714 (all A (v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (all F (m1_subset_1(F,u1_struct_0(E)) -> (all G (m1_subset_1(G,u1_struct_0(E)) -> (F = C & D = G -> k6_rlvect_1(B,C,D) = k6_rlvect_1(E,F,G)))))))))))))))) # label(t24_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8715 $T # label(t43_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8716 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v1_vectsp_4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (r2_hidden(D,C) -> r2_hidden(k5_rlvect_1(B,D),C))))))))))) # label(t5_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8717 $T # label(t1_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8718 (all A (v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> r2_hidden(C,k3_vectsp_4(A,B,C,D)))))))))) # label(t59_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8719 (all A (v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> (k1_vectsp_4(A,B) = C <-> u1_struct_0(C) = k6_domain_1(u1_struct_0(B),k1_rlvect_1(B))))))))) # label(d3_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8720 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v11_vectsp_1(B,A) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> ((all D (m1_subset_1(D,u1_struct_0(B)) -> r1_rlvect_1(C,D))) -> C = B))))))) # label(t40_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8721 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> k1_vectsp_4(A,B) = k1_vectsp_4(A,C))))))) # label(t47_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8722 $T # label(t99_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8723 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,C) & r1_rlvect_1(E,D) -> r1_rlvect_1(E,k4_rlvect_1(B,C,D))))))))))))) # label(t28_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8724 (all A (v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (m2_vectsp_4(D,A,B,C) <-> (exists E (D = k3_vectsp_4(A,B,E,C) & m1_subset_1(E,u1_struct_0(B))))))))))))) # label(d6_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8725 (all A (v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m2_vectsp_4(E,A,B,D) -> (k3_vectsp_4(A,B,C,D) = E <-> r2_hidden(C,E)))))))))))) # label(t93_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8726 $T # label(t52_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8727 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,D) & r1_rlvect_1(E,C) -> r1_rlvect_1(E,k6_rlvect_1(B,C,D))))))))))))) # label(t31_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8728 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> k1_vectsp_4(A,C) = k1_vectsp_4(A,D))))))))) # label(t48_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8729 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> m1_vectsp_4(k1_vectsp_4(A,C),A,D))))))))) # label(t51_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8730 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v1_vectsp_4(C,A,B) -> r2_hidden(k1_rlvect_1(B),C) | k1_xboole_0 = C))))))) # label(t4_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8731 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (r1_tarski(u1_struct_0(C),u1_struct_0(D)) -> m1_vectsp_4(C,A,D)))))))))) # label(t35_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8732 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) -> (all B (v3_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (r1_rlvect_1(D,C) <-> k3_vectsp_4(A,B,C,D) = u1_struct_0(D)))))))))) # label(t64_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8733 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v11_vectsp_1(B,A) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> m1_vectsp_4(B,A,k2_vectsp_4(A,B)))))) # label(t53_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8734 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (E = a_4_0_vectsp_4(A,B,C,D) & v1_vectsp_4(D,A,B) & v1_vectsp_4(C,A,B) -> v1_vectsp_4(E,A,B)))))))))))) # label(t9_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8735 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> -(m2_vectsp_4(C,A,B,k1_vectsp_4(A,B)) & (all D (m1_subset_1(D,u1_struct_0(B)) -> k6_domain_1(u1_struct_0(B),D) != C))))))))) # label(t88_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8736 (all A (-v3_struct_0(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,C) <-> k3_vectsp_4(A,B,k4_rlvect_1(B,D,C),E) = k3_vectsp_4(A,B,D,E)))))))))))) # label(t68_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8737 (all A (v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (all F (m2_vectsp_4(F,A,B,E) -> -(r2_hidden(D,F) & (all G (m1_subset_1(G,u1_struct_0(B)) -> -(k4_rlvect_1(B,C,G) = D & r1_rlvect_1(E,G)))) & r2_hidden(C,F)))))))))))))) # label(t94_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8738 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m2_vectsp_4(k6_domain_1(u1_struct_0(B),C),A,B,k1_vectsp_4(A,B)))))))) # label(t87_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.81 8739 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> ((all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(C,E) -> r1_rlvect_1(D,E)))) -> m1_vectsp_4(C,A,D)))))))))) # label(t36_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8740 (all A (v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> (all E (m2_vectsp_4(E,A,B,C) -> (all F (m2_vectsp_4(F,A,B,D) -> (E = F -> D = C))))))))))))) # label(t86_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8741 $T # label(t102_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8742 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v1_vectsp_4(C,A,B) & v1_vectsp_4(D,A,B) -> v1_vectsp_4(k5_subset_1(u1_struct_0(B),C,D),A,B)))))))))) # label(t10_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8743 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (u1_struct_0(B) = C -> v1_vectsp_4(C,A,B)))))))) # label(t8_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8744 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> m2_vectsp_4(u1_struct_0(C),A,B,C))))))) # label(t89_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8745 (all A all B all C all D (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v6_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_vectsp_4(D,A,B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> m1_subset_1(k3_vectsp_4(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))))) # label(dt_k3_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8746 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r2_hidden(k4_rlvect_1(B,C,D),k3_vectsp_4(A,B,D,E)) <-> r1_rlvect_1(E,C)))))))))))) # label(t75_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8747 (all A (v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> -(k3_vectsp_4(A,B,C,E) = k3_vectsp_4(A,B,D,E) & (all F (m1_subset_1(F,u1_struct_0(B)) -> -(r1_rlvect_1(E,F) & k4_rlvect_1(B,C,F) = D)))))))))))))) # label(t80_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8748 (all A all B all C all D all E (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & -v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & l4_vectsp_1(C,B) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & v12_vectsp_1(C,B) & v6_rlvect_1(C) & v7_vectsp_1(B) & v4_group_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (r2_hidden(A,a_4_0_vectsp_4(B,C,D,E)) <-> (exists F exists G (m1_subset_1(G,u1_struct_0(C)) & A = k4_rlvect_1(C,F,G) & r2_hidden(G,E) & r2_hidden(F,D) & m1_subset_1(F,u1_struct_0(C))))))) # label(fraenkel_a_4_0_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8749 $T # label(t98_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8750 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> ((all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(C,E) <-> r1_rlvect_1(D,E)))) -> D = C))))))))) # label(t38_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8751 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (v11_vectsp_1(E,A) & m1_vectsp_4(E,A,B) -> (all F (v11_vectsp_1(F,A) & m1_vectsp_4(F,A,B) -> (k3_vectsp_4(A,B,D,F) = k3_vectsp_4(A,B,C,E) -> E = F))))))))))))) # label(t83_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8752 $T # label(t3_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8753 (all A all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v7_vectsp_1(B) & v5_rlvect_1(B) -> (all C (v3_rlvect_1(C) & v5_rlvect_1(C) & l4_vectsp_1(C,B) & v12_vectsp_1(C,B) & v6_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) -> (A = k1_rlvect_1(C) <-> r1_rlvect_1(k1_vectsp_4(B,C),A)))))) # label(t46_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8754 (all A (v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (exists E (r2_hidden(C,E) & m2_vectsp_4(E,A,B,D))))))))))) # label(t84_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8755 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> v1_vectsp_4(k6_domain_1(u1_struct_0(B),k1_rlvect_1(B)),A,B))))) # label(t7_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8756 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> k3_vectsp_4(A,B,k1_rlvect_1(B),C) = u1_struct_0(C))))))) # label(t60_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8757 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v11_vectsp_1(B,A) & v4_rlvect_1(B) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v11_vectsp_1(C,A) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v4_rlvect_1(C) -> (m1_vectsp_4(B,A,C) & m1_vectsp_4(C,A,B) -> B = C))))))) # label(t33_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8758 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r2_hidden(k6_vectsp_1(A,B,C,D),k3_vectsp_4(A,B,D,E)) -> C = k2_group_1(A) | r1_rlvect_1(E,D)))))))))))) # label(t72_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8759 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m2_vectsp_4(D,A,B,C) -> (D = u1_struct_0(C) <-> r2_hidden(k1_rlvect_1(B),D)))))))))) # label(t92_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8760 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (all F (m2_vectsp_4(F,A,B,E) -> -((all G (m1_subset_1(G,u1_struct_0(B)) -> -(r1_rlvect_1(E,G) & k6_rlvect_1(B,C,G) = D))) & r2_hidden(D,F) & r2_hidden(C,F)))))))))))))) # label(t95_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8761 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> -((all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> u1_struct_0(D) != C)) & v1_vectsp_4(C,A,B) & k1_xboole_0 != C))))))) # label(t42_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8762 (all A all B (v6_rlvect_1(B) & v4_group_1(B) & v7_vectsp_1(B) & l3_vectsp_1(B) & v8_vectsp_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l4_vectsp_1(C,B) & v12_vectsp_1(C,B) -> (all D (m1_vectsp_4(D,B,C) -> (r1_rlvect_1(D,A) -> r1_rlvect_1(C,A)))))))) # label(t17_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8763 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,k6_rlvect_1(B,C,D)) <-> (exists F (m2_vectsp_4(F,A,B,E) & r2_hidden(D,F) & r2_hidden(C,F)))))))))))))) # label(t96_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8764 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v7_group_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (k3_vectsp_4(A,B,k5_rlvect_1(B,C),D) = u1_struct_0(D) <-> r1_rlvect_1(D,C)))))))))) # label(t67_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8765 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & l4_vectsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v1_vectsp_4(C,A,B) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) -> r2_hidden(k6_vectsp_1(A,B,D,E),C)))))) & (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(D,C) & r2_hidden(E,C) -> r2_hidden(k2_rlvect_1(B,D,E),C))))))))))))) # label(d1_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8766 $T # label(t45_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8767 $T # label(t44_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8768 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (C = E -> k5_rlvect_1(B,C) = k5_rlvect_1(D,E)))))))))))) # label(t23_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8769 (all A all B all C (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v12_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (exists D m2_vectsp_4(D,A,B,C)))) # label(existence_m2_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8770 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_vectsp_4(F,A,B) -> (r2_hidden(C,k3_vectsp_4(A,B,E,F)) & r2_hidden(C,k3_vectsp_4(A,B,D,F)) -> k3_vectsp_4(A,B,E,F) = k3_vectsp_4(A,B,D,F)))))))))))))) # label(t71_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8771 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,k6_rlvect_1(B,C,D)) <-> (exists F (m1_subset_1(F,u1_struct_0(B)) & r2_hidden(D,k3_vectsp_4(A,B,F,E)) & r2_hidden(C,k3_vectsp_4(A,B,F,E))))))))))))))) # label(t79_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8772 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> r1_rlvect_1(B,k1_rlvect_1(C)))))))) # label(t27_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8773 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) -> (all B (-v3_struct_0(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (k3_vectsp_4(A,B,C,D) = u1_struct_0(D) <-> r2_hidden(k1_rlvect_1(B),k3_vectsp_4(A,B,C,D))))))))))) # label(t63_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8774 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v11_vectsp_1(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> (u1_struct_0(C) = u1_struct_0(B) -> C = B))))))) # label(t39_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8775 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (all F (m1_subset_1(F,u1_struct_0(E)) -> (all G (m1_subset_1(G,u1_struct_0(E)) -> (C = F & G = D -> k4_rlvect_1(E,F,G) = k4_rlvect_1(B,C,D)))))))))))))))) # label(t21_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8776 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k6_rlvect_1(B,k6_vectsp_1(A,B,C,E),k6_vectsp_1(A,B,D,E)) = k6_vectsp_1(A,B,k6_rlvect_1(A,C,D),E))))))))))) # label(t103_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8777 $T # label(t56_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8778 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (k3_vectsp_4(A,B,k6_vectsp_1(A,B,C,D),E) = u1_struct_0(E) -> C = k1_rlvect_1(A) | r1_rlvect_1(E,D)))))))))))) # label(t66_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8779 $T # label(t15_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8780 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> m1_vectsp_4(k1_vectsp_4(A,B),A,C))))))) # label(t50_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8781 $T # label(t13_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8782 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m2_vectsp_4(E,A,B,D) -> (all F (m2_vectsp_4(F,A,B,D) -> (r2_hidden(C,F) & r2_hidden(C,E) -> E = F))))))))))))) # label(t97_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8783 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,D) <-> r2_hidden(k6_rlvect_1(B,C,D),k3_vectsp_4(A,B,C,E))))))))))))) # label(t76_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8784 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> m2_vectsp_4(u1_struct_0(B),A,B,k2_vectsp_4(A,B)))))) # label(t90_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8785 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> r1_rlvect_1(D,k1_rlvect_1(C)))))))))) # label(t26_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8786 $T # label(t77_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8787 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> k1_rlvect_1(C) = k1_rlvect_1(B))))))) # label(t19_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8788 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (v3_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v4_rlvect_1(C) & -v3_struct_0(C) -> (m1_vectsp_4(C,A,B) <-> k7_relat_1(u2_vectsp_1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(C))) = u2_vectsp_1(A,C) & u1_rlvect_1(C) = k1_realset1(u1_rlvect_1(B),u1_struct_0(C)) & u2_struct_0(B) = u2_struct_0(C) & r1_tarski(u1_struct_0(C),u1_struct_0(B))))))))) # label(d2_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8789 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> m1_vectsp_4(B,A,B))))) # label(t32_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8790 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> m1_vectsp_4(k2_vectsp_4(A,B),A,B) & v11_vectsp_1(k2_vectsp_4(A,B),A))) # label(dt_k2_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8791 (all A all B all C (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & m1_vectsp_4(C,A,B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all D (m2_vectsp_4(D,A,B,C) -> m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))))) # label(dt_m2_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8792 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (u1_struct_0(C) = D -> v1_vectsp_4(D,A,B)))))))))) # label(t41_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8793 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (k3_vectsp_4(A,B,C,E) = k3_vectsp_4(A,B,D,E) <-> r2_hidden(C,k3_vectsp_4(A,B,D,E))))))))))))) # label(t70_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8794 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (r2_hidden(k1_rlvect_1(B),k3_vectsp_4(A,B,C,D)) <-> r1_rlvect_1(D,C)))))))))) # label(t58_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8795 (all A all B (v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists C (m1_vectsp_4(C,A,B) & -v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v12_vectsp_1(C,A) & v11_vectsp_1(C,A) & v6_rlvect_1(C))))) # label(rc1_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8796 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> v11_vectsp_1(k1_vectsp_4(A,B),A) & m1_vectsp_4(k1_vectsp_4(A,B),A,B))) # label(dt_k1_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8797 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (all F (m1_subset_1(F,u1_struct_0(E)) -> (F = D -> k6_vectsp_1(A,B,C,D) = k6_vectsp_1(A,E,C,F)))))))))))))) # label(t22_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8798 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_vectsp_4(E,A,B) -> (r1_rlvect_1(E,D) -> r2_hidden(k6_vectsp_1(A,B,C,D),k3_vectsp_4(A,B,D,E))))))))))))) # label(t73_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8799 $T # label(t54_vectsp_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8800 (all A (-v3_struct_0(A) & v4_group_1(A) & v7_group_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,D,C)) = k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D)))))))))))) # label(t69_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8801 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,k1_vectsp_5(A,B,C,D)))))))))) # label(t29_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8802 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> l3_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v14_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v10_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & -v3_struct_0(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))))))) # label(t77_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8803 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> k1_vectsp_5(A,B,C,k1_vectsp_4(A,B)) = C & k1_vectsp_5(A,B,k1_vectsp_4(A,B),C) = C)))))) # label(t13_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8804 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> m1_vectsp_5(C,A,B,D))))))))) # label(t53_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8805 (all A (v3_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v11_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (k1_vectsp_5(A,B,C,D) = B <-> (all E (m1_subset_1(E,u1_struct_0(B)) -> (exists F ((exists G (r1_rlvect_1(C,F) & r1_rlvect_1(D,G) & E = k4_rlvect_1(B,F,G) & m1_subset_1(G,u1_struct_0(B)))) & m1_subset_1(F,u1_struct_0(B))))))))))))))) # label(t57_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8806 (all A all B all C all D (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v12_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(A) -> k2_vectsp_5(A,B,C,D) = k2_vectsp_5(A,B,D,C))) # label(commutativity_k2_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8807 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & -v3_struct_0(B) -> (all C (v11_vectsp_1(C,A) & m1_vectsp_4(C,A,B) -> C = k2_vectsp_5(A,B,k2_vectsp_4(A,B),C) & k2_vectsp_5(A,B,C,k2_vectsp_4(A,B)) = C)))))) # label(t27_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.82 8808 (all A all B (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) & v7_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> v1_funct_1(k5_vectsp_5(A,B)) & v1_funct_2(k5_vectsp_5(A,B),k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) & m2_relset_1(k5_vectsp_5(A,B),k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)))) # label(dt_k5_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8809 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> k1_vectsp_5(A,B,D,C) = k1_vectsp_5(A,B,C,D))))))))) # label(t9_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8810 (all A (v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (r1_vectsp_5(A,B,D,E) -> (all F (m1_subset_1(F,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) -> (k4_vectsp_5(A,B,C,D,E) = F <-> r1_rlvect_1(E,k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & r1_rlvect_1(D,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & C = k4_rlvect_1(B,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F),k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)))))))))))))))) # label(d6_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8811 $T # label(t61_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8812 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> l3_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v12_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v10_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & -v3_struct_0(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))))))) # label(t79_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8813 $T # label(t60_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8814 (all A (v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> k2_vectsp_5(A,B,C,k1_vectsp_4(A,B)) = k1_vectsp_4(A,B) & k1_vectsp_4(A,B) = k2_vectsp_5(A,B,k1_vectsp_4(A,B),C))))))) # label(t25_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8815 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v11_vectsp_1(B,A) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & -v3_struct_0(B) -> B = k1_vectsp_5(A,B,k2_vectsp_4(A,B),k2_vectsp_4(A,B)))))) # label(t16_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8816 (all A (v4_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> k1_vectsp_5(A,B,k1_vectsp_5(A,B,C,D),E) = k1_vectsp_5(A,B,C,k1_vectsp_5(A,B,D,E)))))))))))) # label(t10_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8817 (all A (-v3_struct_0(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) & v11_vectsp_1(E,A) -> (E = k2_vectsp_5(A,B,C,D) <-> k3_xboole_0(u1_struct_0(C),u1_struct_0(D)) = u1_struct_0(E)))))))))))) # label(d2_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8818 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (r1_vectsp_5(A,B,C,D) -> m1_vectsp_5(D,A,B,C)))))))))) # label(t47_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8819 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> k1_vectsp_5(A,B,C,C) = C)))))) # label(t8_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8820 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> -(-m1_vectsp_4(D,A,C) & -m1_vectsp_4(C,A,D) & (exists E (m1_vectsp_4(E,A,B) & k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) = u1_struct_0(E)))) & -((all E (m1_vectsp_4(E,A,B) -> k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) != u1_struct_0(E))) & (m1_vectsp_4(D,A,C) | m1_vectsp_4(C,A,D))))))))))) # label(t41_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8821 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_vectsp_5(A,B,C,D) -> k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D)) = k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,D,C))))))))))))) # label(t65_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8822 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (k1_vectsp_5(A,B,C,D) = g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)) & k2_vectsp_5(A,B,C,D) = k1_vectsp_4(A,B) <-> r1_vectsp_5(A,B,C,D)))))))))) # label(d4_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8823 (all A (v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> m1_vectsp_4(k1_vectsp_5(A,B,C,k2_vectsp_5(A,B,D,E)),A,k2_vectsp_5(A,B,k1_vectsp_5(A,B,D,C),k1_vectsp_5(A,B,C,E))))))))))))) # label(t34_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8824 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> -v3_struct_0(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & l3_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v15_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v10_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))))))) # label(t78_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8825 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> k2_vectsp_5(A,B,D,C) = k1_vectsp_4(A,B) & k2_vectsp_5(A,B,C,D) = k1_vectsp_4(A,B))))))))) # label(t50_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8826 (all A (v4_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> -v3_struct_0(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v13_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & l3_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v10_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))))))) # label(t76_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8827 $T # label(t74_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8828 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) -> k1_vectsp_5(A,B,D,k2_vectsp_5(A,B,C,E)) = k2_vectsp_5(A,B,k1_vectsp_5(A,B,C,D),k1_vectsp_5(A,B,D,E))))))))))))) # label(t35_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8829 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) -> m1_vectsp_4(k2_vectsp_5(A,B,C,E),A,k2_vectsp_5(A,B,D,E))))))))))))) # label(t22_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8830 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) & m1_vectsp_4(E,A,D) -> m1_vectsp_4(k1_vectsp_5(A,B,C,E),A,D)))))))))))) # label(t40_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8831 (all A (v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) & v1_funct_2(C,k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) -> (k5_vectsp_5(A,B) = C <-> (all D (m1_subset_1(D,k3_vectsp_5(A,B)) -> (all E (m1_subset_1(E,k3_vectsp_5(A,B)) -> (all F (m1_vectsp_4(F,A,B) -> (all G (m1_vectsp_4(G,A,B) -> (F = D & G = E -> k1_vectsp_5(A,B,F,G) = k2_binop_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B),k3_vectsp_5(A,B),C,D,E))))))))))))))))) # label(d7_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8832 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_vectsp_5(A,B,C,D) -> k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,D,C)) = k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D))))))))))))) # label(t64_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8833 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)) = k1_vectsp_5(A,B,k2_vectsp_4(A,B),C) & k1_vectsp_5(A,B,C,k2_vectsp_4(A,B)) = g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)))))))) # label(t15_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8834 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (m1_vectsp_4(D,A,C) -> D = k2_vectsp_5(A,B,D,C)))) & (all D (m1_vectsp_4(D,A,B) -> (D = k2_vectsp_5(A,B,D,C) -> m1_vectsp_4(D,A,C)))))))))) # label(t21_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8835 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D)) = k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,D,C)))))))))))) # label(t70_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8836 (all A all B all C all D all E (v3_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & v3_rlvect_1(B) & v6_rlvect_1(B) & m1_subset_1(C,u1_struct_0(B)) & m1_vectsp_4(E,A,B) & m1_vectsp_4(D,A,B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> m1_subset_1(k4_vectsp_5(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))))) # label(dt_k4_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8837 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (r1_rlvect_1(C,E) & r1_rlvect_1(D,E) <-> r1_rlvect_1(k2_vectsp_5(A,B,C,D),E))))))))))) # label(t7_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8838 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v11_vectsp_1(B,A) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> r2_hidden(B,k3_vectsp_5(A,B)))))) # label(t44_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8839 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (m1_vectsp_4(C,A,D) <-> D = k1_vectsp_5(A,B,C,D)))))))))) # label(t12_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8840 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> (C = k2_vectsp_5(A,B,C,D) <-> k1_vectsp_5(A,B,C,D) = D))))))))) # label(t37_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8841 $T # label(t71_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8842 $T # label(t4_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8843 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (v11_vectsp_1(E,A) & m1_vectsp_4(E,A,B) -> (u1_struct_0(E) = a_4_0_vectsp_5(A,B,C,D) <-> k1_vectsp_5(A,B,C,D) = E))))))))))) # label(d1_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8844 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E ((exists F (m1_subset_1(F,u1_struct_0(B)) & (exists G (r1_rlvect_1(D,G) & E = k4_rlvect_1(B,F,G) & r1_rlvect_1(C,F) & m1_subset_1(G,u1_struct_0(B)))))) <-> r1_rlvect_1(k1_vectsp_5(A,B,C,D),E))))))))))) # label(t5_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8845 $T # label(t18_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8846 $T # label(t2_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8847 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> v10_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & l3_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & -v3_struct_0(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))))))) # label(t75_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8848 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> -v1_xboole_0(k3_vectsp_5(A,B)))) # label(fc1_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8849 (all A (-v3_struct_0(A) & v4_group_1(A) & v7_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> k1_vectsp_5(A,B,C,D) = g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)) & k1_vectsp_5(A,B,D,C) = g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)))))))))) # label(t49_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8850 $T # label(dt_k3_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8851 $T # label(t62_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8852 (all A (v5_rlvect_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> E = k4_rlvect_1(B,k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D)),k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D))))))))))))) # label(t67_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8853 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> r1_rlvect_1(D,k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D))) & r1_rlvect_1(C,k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_vectsp_5(A,B,E,C,D))))))))))))) # label(t68_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8854 $T # label(t42_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8855 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) -> k1_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),k2_vectsp_5(A,B,D,E)) = k2_vectsp_5(A,B,D,k1_vectsp_5(A,B,C,E))))))))))))) # label(t33_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8856 $T # label(t46_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8857 (all A all B all C all D (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v4_rlvect_1(B) & v5_rlvect_1(B) & m1_vectsp_4(D,A,B) & m1_vectsp_4(C,A,B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> v11_vectsp_1(k2_vectsp_5(A,B,C,D),A) & m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,B))) # label(dt_k2_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8858 $T # label(t45_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8859 (all A (v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (r1_vectsp_5(A,B,C,D) <-> (all E (m2_vectsp_4(E,A,B,C) -> (all F (m2_vectsp_4(F,A,B,D) -> (exists G (k5_subset_1(u1_struct_0(B),E,F) = k6_domain_1(u1_struct_0(B),G) & m1_subset_1(G,u1_struct_0(B))))))))))))))))) # label(t56_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8860 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_group_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (r1_vectsp_5(A,B,D,C) <-> m1_vectsp_5(D,A,B,C)))))))))) # label(d5_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8861 $T # label(t43_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8862 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (B = k1_vectsp_5(A,B,C,D) -> r1_vectsp_5(A,B,C,D) | (all E (m1_subset_1(E,u1_struct_0(B)) -> (exists F (m1_subset_1(F,u1_struct_0(B)) & (exists G ((exists H ((exists I (k4_rlvect_1(B,H,I) = E & r1_rlvect_1(D,G) & r1_rlvect_1(D,I) & -(F = H & I = G) & r1_rlvect_1(C,H) & r1_rlvect_1(C,F) & E = k4_rlvect_1(B,F,G) & m1_subset_1(I,u1_struct_0(B)))) & m1_subset_1(H,u1_struct_0(B)))) & m1_subset_1(G,u1_struct_0(B))))))))))))))))) # label(t59_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8863 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> k2_vectsp_5(A,B,D,k1_vectsp_5(A,B,D,C)) = D)))))))) # label(t31_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8864 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> m1_vectsp_4(D,A,k1_vectsp_5(A,B,C,D)) & m1_vectsp_4(C,A,k1_vectsp_5(A,B,C,D)))))))))) # label(t11_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8865 (all A (v3_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) -> m1_vectsp_4(C,A,k1_vectsp_5(A,B,D,E))))))))))))) # label(t39_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8866 (all A all B all C all D (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l4_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & m1_vectsp_4(D,A,B) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> v11_vectsp_1(k1_vectsp_5(A,B,C,D),A) & m1_vectsp_4(k1_vectsp_5(A,B,C,D),A,B))) # label(dt_k1_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.83 8867 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) -> (all B (v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,D) & m1_vectsp_4(k2_vectsp_5(A,B,C,D),A,C))))))))) # label(t20_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8868 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) & v11_vectsp_1(E,A) -> (m1_vectsp_4(E,A,C) -> k1_vectsp_5(A,B,E,k2_vectsp_5(A,B,D,C)) = k2_vectsp_5(A,B,k1_vectsp_5(A,B,E,D),C)))))))))))) # label(t36_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8869 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) -> v15_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v16_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & l3_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & v10_lattices(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))) & -v3_struct_0(g3_lattices(k3_vectsp_5(A,B),k5_vectsp_5(A,B),k6_vectsp_5(A,B))))))) # label(t80_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8870 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> r1_vectsp_5(A,B,k1_vectsp_4(A,B),k2_vectsp_4(A,B)) & r1_vectsp_5(A,B,k2_vectsp_4(A,B),k1_vectsp_4(A,B)))))) # label(t52_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8871 $T # label(t73_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8872 (all A (l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) & v11_vectsp_1(D,A) -> (all E (v11_vectsp_1(E,A) & m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) -> m1_vectsp_4(k1_vectsp_5(A,B,C,E),A,k1_vectsp_5(A,B,D,E))))))))))))) # label(t38_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8873 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (all G (m1_subset_1(G,u1_struct_0(B)) -> (all H (m1_subset_1(H,u1_struct_0(B)) -> (all I (m1_subset_1(I,u1_struct_0(B)) -> (r1_rlvect_1(C,F) & r1_rlvect_1(C,H) & r1_rlvect_1(D,G) & r1_rlvect_1(D,I) & E = k4_rlvect_1(B,H,I) & k4_rlvect_1(B,F,G) = E & r1_vectsp_5(A,B,C,D) -> G = I & H = F))))))))))))))))))) # label(t58_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8874 (all A all B all C (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v9_vectsp_1(A) & v3_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & m1_vectsp_4(C,A,B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (exists D m1_vectsp_5(D,A,B,C)))) # label(existence_m1_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8875 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v8_vectsp_1(A) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> v1_funct_1(k6_vectsp_5(A,B)) & m2_relset_1(k6_vectsp_5(A,B),k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) & v1_funct_2(k6_vectsp_5(A,B),k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)))) # label(dt_k6_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8876 $T # label(t1_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8877 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v3_rlvect_1(B) -> g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)) = k1_vectsp_5(A,B,k1_vectsp_4(A,B),k2_vectsp_4(A,B)) & k1_vectsp_5(A,B,k2_vectsp_4(A,B),k1_vectsp_4(A,B)) = g4_vectsp_1(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u2_vectsp_1(A,B)))))) # label(t14_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8878 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) & v11_vectsp_1(C,A) -> C = k2_vectsp_5(A,B,C,C))))))) # label(t17_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8879 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v3_rlvect_1(B) -> (all C (k3_vectsp_5(A,B) = C <-> (all D (r2_hidden(D,C) <-> (exists E (E = D & m1_vectsp_4(E,A,B) & v11_vectsp_1(E,A))))))))))) # label(d3_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8880 (all A (-v3_struct_0(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (v11_vectsp_1(D,A) & m1_vectsp_4(D,A,B) -> k1_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),D) = D)))))))) # label(t30_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8881 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) & m1_vectsp_4(C,A,E) -> m1_vectsp_4(C,A,k2_vectsp_5(A,B,D,E))))))))))))) # label(t24_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8882 (all A (v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v11_vectsp_1(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> B = k2_vectsp_5(A,B,k2_vectsp_4(A,B),k2_vectsp_4(A,B)))))) # label(t28_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8883 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m2_vectsp_4(E,A,B,C) -> (all F (m2_vectsp_4(F,A,B,D) -> (-r1_xboole_0(E,F) -> m2_vectsp_4(k5_subset_1(u1_struct_0(B),E,F),A,B,k2_vectsp_5(A,B,C,D))))))))))))))) # label(t55_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8884 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v9_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> m1_vectsp_5(k2_vectsp_4(A,B),A,B,k1_vectsp_4(A,B)) & m1_vectsp_5(k1_vectsp_4(A,B),A,B,k2_vectsp_4(A,B)))))) # label(t54_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8885 $T # label(t63_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8886 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v3_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> k2_vectsp_5(A,B,C,k2_vectsp_5(A,B,D,E)) = k2_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),E))))))))))) # label(t19_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8887 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) -> (E = k4_rlvect_1(B,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F),k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & r1_rlvect_1(D,k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & r1_rlvect_1(C,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F)) -> k4_vectsp_5(A,B,E,C,D) = F))))))))))))) # label(t66_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8888 $T # label(t3_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8889 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> (m1_vectsp_4(C,A,D) -> m1_vectsp_4(k2_vectsp_5(A,B,C,E),A,D)))))))))))) # label(t23_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8890 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (r1_vectsp_5(A,B,C,D) -> r1_vectsp_5(A,B,D,C)))))))))) # label(t51_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8891 $T # label(t72_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8892 (all A all B all C (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & m1_vectsp_4(C,A,B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all D (m1_vectsp_5(D,A,B,C) -> m1_vectsp_4(D,A,B))))) # label(dt_m1_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8893 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) & v1_funct_2(C,k2_zfmisc_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B)),k3_vectsp_5(A,B)) -> ((all D (m1_subset_1(D,k3_vectsp_5(A,B)) -> (all E (m1_subset_1(E,k3_vectsp_5(A,B)) -> (all F (m1_vectsp_4(F,A,B) -> (all G (m1_vectsp_4(G,A,B) -> (F = D & E = G -> k2_binop_1(k3_vectsp_5(A,B),k3_vectsp_5(A,B),k3_vectsp_5(A,B),C,D,E) = k2_vectsp_5(A,B,F,G)))))))))) <-> C = k6_vectsp_5(A,B)))))))) # label(d8_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8894 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(D,E) | r1_rlvect_1(C,E) -> r1_rlvect_1(k1_vectsp_5(A,B,C,D),E)))))))))))) # label(t6_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8895 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v8_vectsp_1(A) & v7_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & l4_vectsp_1(B,A) & v12_vectsp_1(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_5(D,A,B,C) -> r1_vectsp_5(A,B,D,C) & r1_vectsp_5(A,B,C,D))))))))) # label(t48_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8896 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v12_vectsp_1(B,A) & l4_vectsp_1(B,A) & v5_rlvect_1(B) -> (all C (m1_vectsp_4(C,A,B) -> (all D (m1_vectsp_4(D,A,B) -> (all E (m1_vectsp_4(E,A,B) -> m1_vectsp_4(k1_vectsp_5(A,B,k2_vectsp_5(A,B,C,D),k2_vectsp_5(A,B,D,E)),A,k2_vectsp_5(A,B,D,k1_vectsp_5(A,B,C,E))))))))))))) # label(t32_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8897 (all A all B all C all D all E (v4_group_1(B) & v7_vectsp_1(B) & -v3_struct_0(C) & v3_rlvect_1(C) & v5_rlvect_1(C) & v12_vectsp_1(C,B) & l4_vectsp_1(C,B) & m1_vectsp_4(D,B,C) & m1_vectsp_4(E,B,C) & v6_rlvect_1(C) & v4_rlvect_1(C) & l3_vectsp_1(B) & v8_vectsp_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> ((exists F exists G (m1_subset_1(F,u1_struct_0(C)) & A = k4_rlvect_1(C,F,G) & r1_rlvect_1(D,F) & r1_rlvect_1(E,G) & m1_subset_1(G,u1_struct_0(C)))) <-> r2_hidden(A,a_4_0_vectsp_5(B,C,D,E))))) # label(fraenkel_a_4_0_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8898 $T # label(t26_vectsp_5) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8899 (all A all B all C (v3_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))) & v4_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k4_group_3(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k4_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8900 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> 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]. 188.44/187.84 8901 $T # label(t152_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8902 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> 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]. 188.44/187.84 8903 (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) -> 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]. 188.44/187.84 8904 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k4_group_3(A,k4_group_3(A,C,k3_group_1(A,B)),B) = C & k4_group_3(A,k4_group_3(A,C,B),k3_group_1(A,B)) = C)))))) # label(t63_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8905 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (v6_group_1(A) -> v1_finset_1(k1_group_3(A))))) # label(t19_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8906 (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,k7_group_3(A,B),C) = k2_group_2(A,C,k7_group_3(A,B)))))))) # label(t102_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8907 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (exists B (m1_group_2(B,A) & v1_group_1(B) & v2_group_1(B) & v3_group_1(B) & v4_group_1(B) & v1_group_3(B,A) & -v3_struct_0(B))))) # label(rc1_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8908 (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_group_3(A,B,C) <-> r2_hidden(B,k7_group_3(A,C))))))))) # label(t96_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8909 (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]. 188.44/187.84 8910 $T # label(t135_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8911 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -((all C (v1_finset_1(C) -> -(k7_group_3(A,B) = C & 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]. 188.44/187.84 8912 (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]. 188.44/187.84 8913 (all A all B (-v3_struct_0(A) & l1_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_group_1(A) & v3_group_1(A) -> 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]. 188.44/187.84 8914 $T # label(t103_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8915 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> -v1_xboole_0(k1_group_3(A)))) # label(fc1_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8916 $T # label(t68_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8917 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (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]. 188.44/187.84 8918 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_group_3(A,B,C) <-> r4_group_3(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C))))))))) # label(t108_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8919 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (v4_group_1(A) & v7_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) <-> v1_binop_1(u1_group_1(A),u1_struct_0(A))))) # label(t2_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8920 (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_3(A,B,k2_group_1(A)) = B)))) # label(t24_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8921 $T # label(t31_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8922 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k3_group_3(A,k4_group_3(A,C,B),D) = k3_group_3(A,C,k3_group_2(A,B,D)))))))))) # label(t54_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8923 (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) -> k15_group_2(A,B) = k14_group_2(A,B))))) # label(t150_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8924 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) -> k11_group_3(A,k5_group_2(A)) = A)) # label(t164_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8925 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (v6_group_1(A) -> v1_finset_1(k9_group_3(A,B))))))) # label(t133_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8926 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k2_group_3(A,B,C) = B <-> k1_group_1(A,C,B) = k1_group_1(A,B,C)))))))) # label(t27_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8927 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_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]. 188.44/187.84 8928 (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)) -> B = k1_group_1(A,k1_group_1(A,B,C),k3_group_1(A,C)) & B = k1_group_1(A,k1_group_1(A,B,k3_group_1(A,C)),C) & B = k1_group_1(A,B,k1_group_1(A,C,k3_group_1(A,C))) & k1_group_1(A,k3_group_1(A,C),k1_group_1(A,C,B)) = B & B = k1_group_1(A,C,k1_group_1(A,k3_group_1(A,C),B)) & k1_group_1(A,B,k1_group_1(A,k3_group_1(A,C),C)) = B & k1_group_1(A,k1_group_1(A,C,k3_group_1(A,C)),B) = B & k1_group_1(A,k1_group_1(A,k3_group_1(A,C),C),B) = B)))))) # label(t1_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8929 (all A all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (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]. 188.44/187.84 8930 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_group_3(k5_group_2(A),A) & v1_group_3(k6_group_2(A),A))) # label(t137_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8931 $T # label(dt_k1_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8932 (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)) -> B = k4_group_3(A,B,C))))) <-> v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & v3_group_1(A) & -v3_struct_0(A)))) # label(t66_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8933 (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)) -> k3_group_1(A,k2_group_3(A,B,C)) = k2_group_3(A,k3_group_1(A,B),C))))))) # label(t32_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8934 (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)) -> (r1_group_3(A,B,C) <-> (exists D (B = k2_group_3(A,C,D) & m1_subset_1(D,u1_struct_0(A))))))))))) # label(d7_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8935 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (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]. 188.44/187.84 8936 (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) & v1_group_1(C) -> ((exists D (m1_subset_1(D,u1_struct_0(B)) & A = D & r1_group_2(B,k6_group_3(B,C,D),C))) <-> r1_rlvect_1(k11_group_3(B,C),A)))))) # label(t160_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8937 (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) -> k16_group_2(A,C) = k16_group_2(A,k6_group_3(A,C,B)))))))) # label(t84_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8938 (all A (v1_group_1(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) -> (m1_group_2(B,A) & v1_group_3(B,A) <-> k11_group_3(A,B) = A))))) # label(t163_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8939 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v1_group_1(C) & m1_group_2(C,A) & m1_group_2(B,A) & v1_group_1(B) & l1_group_1(A) -> (r5_group_3(A,B,C) <-> r6_group_3(A,B,C)))) # label(redefinition_r6_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8940 (all A all B all C (m1_group_2(B,A) & v1_group_1(C) & m1_group_2(C,A) & v1_group_1(B) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> r6_group_3(A,B,B))) # label(reflexivity_r6_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8941 (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,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]. 188.44/187.84 8942 (all A all B all C (-v3_struct_0(A) & 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) -> (r6_group_3(A,B,C) -> r6_group_3(A,C,B)))) # label(symmetry_r6_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8943 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_group_1(A) -> v1_finset_1(k8_group_3(A,B))))))) # label(t119_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8944 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (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]. 188.44/187.84 8945 $T # label(t153_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8946 $T # label(t110_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8947 $T # label(t17_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8948 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (v6_group_1(k6_group_3(A,C,B)) <-> v6_group_1(C)))))))) # label(t78_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8949 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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]. 188.44/187.84 8950 (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) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (-r1_xboole_0(k9_group_3(A,B),k9_group_3(A,C)) <-> k9_group_3(A,B) = k9_group_3(A,C)))))))) # label(t132_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8951 $T # label(t112_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8952 (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))) -> ((all D (r2_hidden(D,C) <-> (exists E (v1_group_1(E) & m1_group_2(E,A) & D = E & r5_group_3(A,B,E))))) <-> k9_group_3(A,B) = C))))))) # label(d12_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8953 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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]. 188.44/187.84 8954 $T # label(t94_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8955 (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) -> r4_group_3(A,B,B))) # label(reflexivity_r4_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8956 (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)) -> ((exists D (r2_group_3(B,C,D) & A = D & m1_subset_1(D,u1_struct_0(B)))) <-> r2_hidden(A,k7_group_3(B,C))))))) # label(t95_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8957 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & v4_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]. 188.44/187.84 8958 (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) & v1_group_1(C) -> (a_2_3_group_3(A,B) = u1_struct_0(C) <-> k10_group_3(A,B) = C))))))) # label(d14_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8959 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_3(A,B,C) = k1_group_1(A,k3_group_1(A,C),k1_group_1(A,B,C)) & k2_group_3(A,B,C) = k1_group_1(A,k1_group_1(A,k3_group_1(A,C),B),C))))))) # label(t20_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8960 (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,k4_group_2(A,C,D),B) = k4_group_3(A,k5_group_3(A,D,B),C))))))))) # label(t57_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8961 (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_group_2(D,B) -> (r1_rlvect_1(k6_group_3(B,D,C),A) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & k2_group_3(B,E,C) = A & r1_rlvect_1(D,E)))))))))) # label(t70_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8962 (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) -> r2_hidden(k6_group_3(A,C,B),k9_group_3(A,C)))))))) # label(t129_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8963 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (B != k1_xboole_0 -> k5_group_3(A,B,k2_group_1(A)) = k6_domain_1(u1_struct_0(A),k2_group_1(A))))))) # label(t62_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8964 (all A all B all C (v3_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k5_group_3(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k5_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.84 8965 (all A all B (l1_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(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]. 188.44/187.84 8966 (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)) -> k4_group_3(A,B,C) = k3_group_3(A,B,k6_domain_1(u1_struct_0(A),C)))))))) # label(d4_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8967 (all A all B all C (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v3_group_1(B) -> (r2_hidden(A,a_2_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]. 188.44/187.85 8968 $T # label(t16_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8969 (all A all B all C (-v3_struct_0(A) & 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) -> 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]. 188.44/187.85 8970 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> (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]. 188.44/187.85 8971 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k9_domain_1(u1_struct_0(A),k2_group_3(A,B,D),k2_group_3(A,B,E),k2_group_3(A,C,D),k2_group_3(A,C,E)) = k3_group_3(A,k7_domain_1(u1_struct_0(A),B,C),k7_domain_1(u1_struct_0(A),D,E)))))))))))) # label(t47_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8972 $T # label(t120_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8973 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((v1_finset_1(k8_group_3(A,B)) | v1_finset_1(k14_group_2(A,k10_group_3(A,B)))) & (all C (v1_finset_1(C) -> -(C = k8_group_3(A,B) & k17_group_2(A,k10_group_3(A,B)) = k4_card_1(C))))))))) # label(t156_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8974 (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]. 188.44/187.85 8975 (all A all B (-v3_struct_0(A) & v4_group_1(A) & m1_group_2(B,A) & l1_group_1(A) & v3_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]. 188.44/187.85 8976 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (r2_hidden(B,k9_group_3(A,C)) -> r2_hidden(C,k9_group_3(A,B))))))))) # label(t131_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8977 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r2_hidden(B,k7_group_3(A,B)))))) # label(t98_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8978 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_group_3(A,k2_group_3(A,B,C),D) = k2_group_3(A,B,k1_group_1(A,C,D)))))))))) # label(t29_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8979 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_group_3(A,k1_group_1(A,B,C),D) = k1_group_1(A,k2_group_3(A,B,D),k2_group_3(A,C,D)))))))))) # label(t28_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8980 (all A all B all C (v3_group_1(B) & v4_group_1(B) & m1_subset_1(C,u1_struct_0(B)) & l1_group_1(B) & -v3_struct_0(B) -> ((exists D (m1_subset_1(D,u1_struct_0(B)) & r2_hidden(D,k7_group_3(B,C)) & A = k6_domain_1(u1_struct_0(B),D))) <-> r2_hidden(A,a_2_2_group_3(B,C))))) # label(fraenkel_a_2_2_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8981 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_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]. 188.44/187.85 8982 (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) -> (k9_group_3(A,B) = k1_tarski(B) <-> m1_group_2(B,A) & v1_group_3(B,A)))))) # label(t146_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8983 (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)) -> k3_group_1(A,B) = k2_group_3(A,k3_group_1(A,B),B) & k2_group_3(A,B,k3_group_1(A,B)) = B)))) # label(t26_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8984 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,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]. 188.44/187.85 8985 (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))) -> a_3_0_group_3(A,B,C) = k3_group_3(A,B,C))))))) # label(d3_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8986 (all A (v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> r2_hidden(A,k1_group_3(A)))) # label(t18_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8987 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (r2_group_3(A,B,k2_group_1(A)) | r2_group_3(A,k2_group_1(A),B) -> B = k2_group_1(A)))))) # label(t92_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8988 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k2_group_3(A,B,C) = k2_group_3(A,D,C) -> D = B))))))))) # label(t21_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8989 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k4_group_3(A,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]. 188.44/187.85 8990 (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)) -> k7_group_3(A,B) = k5_group_3(A,k7_group_2(A,k6_group_2(A)),B))))) # label(d8_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8991 (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)) -> (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]. 188.44/187.85 8992 (all A all B (-v3_struct_0(A) & v3_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & l1_group_1(A) & v4_group_1(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]. 188.44/187.85 8993 (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)) -> 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]. 188.44/187.85 8994 (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))) -> k8_group_3(A,B) = a_2_1_group_3(A,B))))) # label(d10_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8995 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,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]. 188.44/187.85 8996 (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) -> -((all D (v1_group_1(D) & m1_group_2(D,A) -> u1_struct_0(D) != B)) & r4_group_3(A,B,k7_group_2(A,C))))))))) # label(t109_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8997 (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 (k2_group_3(A,B,D) = C & m1_subset_1(D,u1_struct_0(A)))) <-> r1_group_3(A,B,C)))))))) # label(t88_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8998 (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))) -> (r2_hidden(A,k3_group_3(B,C,D)) <-> (exists E ((exists F (m1_subset_1(F,u1_struct_0(B)) & r2_hidden(E,C) & r2_hidden(F,D) & k2_group_3(B,E,F) = A)) & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t38_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 8999 (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) -> 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]. 188.44/187.85 9000 (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))) -> 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]. 188.44/187.85 9001 $T # label(t136_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9002 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(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]. 188.44/187.85 9003 (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)) -> (k7_group_3(A,B) = k6_domain_1(u1_struct_0(A),k2_group_1(A)) <-> B = k2_group_1(A)))))) # label(t101_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9004 (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)) -> r1_tarski(k13_group_2(A,B,C),k12_group_2(A,B,C)))) <-> m1_group_2(B,A) & v1_group_3(B,A)))))) # label(t142_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9005 (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) -> (m1_group_2(B,A) & v1_group_3(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> m1_group_2(k6_group_3(A,B,C),B)))))))) # label(t145_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9006 (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,B,C) = B)))) -> v7_group_1(A)))) # label(t36_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9007 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k6_domain_1(u1_struct_0(A),k2_group_3(A,B,C)) = k3_group_3(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C)))))))) # label(t44_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9008 (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)) -> a_2_0_group_3(A,B) = k5_group_3(A,k7_group_2(A,k6_group_2(A)),B))))) # label(t93_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9009 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> B = k2_group_3(A,k2_group_3(A,B,C),k3_group_1(A,C)) & k2_group_3(A,k2_group_3(A,B,k3_group_1(A,C)),C) = B)))))) # label(t30_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9010 (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_group_2(D,A) & v1_group_1(D) -> (k6_group_3(A,B,C) = D <-> k4_group_3(A,k7_group_2(A,B),C) = u1_struct_0(D)))))))))) # label(d6_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9011 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,k8_group_3(A,C)) -> r2_hidden(C,k8_group_3(A,B))))))))) # label(t116_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9012 (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,k4_group_2(A,B,C)) = k4_group_2(A,B,k11_group_2(A,D,C)))))))))) # label(t14_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9013 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,D) -> r1_tarski(k3_group_2(A,B,C),k3_group_2(A,B,D)) & r1_tarski(k4_group_2(A,B,C),k4_group_2(A,B,D))))))))))) # label(t5_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9014 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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]. 188.44/187.85 9015 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,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]. 188.44/187.85 9016 (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)) -> 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]. 188.44/187.85 9017 (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,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]. 188.44/187.85 9018 (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]. 188.44/187.85 9019 (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))) -> k3_group_3(A,k1_group_2(A,B),C) = k1_group_2(A,k3_group_3(A,B,C)))))))) # label(t43_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9020 (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) -> k4_group_2(A,B,k12_group_2(A,C,k3_group_1(A,B))) = u1_struct_0(k6_group_3(A,C,B)))))))) # label(t71_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9021 (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,B,C) = k2_group_1(A) -> k2_group_1(A) = B))))))) # label(t23_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9022 (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_1(C) -> (k6_group_3(A,C,B) = A -> A = C))))))) # label(t83_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9023 (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)) -> B = k2_group_3(A,B,B))))) # label(t25_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9024 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) & v1_group_3(B,A) -> (all C (v1_group_1(C) & v1_group_3(C,A) & m1_group_2(C,A) -> v1_group_3(k9_group_2(A,B,C),A))))))) # label(t138_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9025 (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))) -> (k1_xboole_0 != k3_group_3(A,B,C) <-> B != k1_xboole_0 & k1_xboole_0 != C))))))) # label(t39_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9026 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,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]. 188.44/187.85 9027 $T # label(t48_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9028 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> v1_group_3(B,A)))))) # label(t139_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9029 $T # label(t159_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9030 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_group_2(A,k6_group_3(A,B,C),B)))))))) # label(t86_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9031 (all A all B all C all D (v3_group_1(B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> ((exists E exists F (m1_subset_1(F,u1_struct_0(B)) & r2_hidden(F,D) & r2_hidden(E,C) & k2_group_3(B,E,F) = A & 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]. 188.44/187.85 9032 $T # label(t64_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9033 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> (r2_hidden(B,k9_group_3(A,C)) <-> r6_group_3(A,B,C)))))))) # label(t128_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9034 (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 (v1_group_1(C) & m1_group_2(C,A) <-> r2_hidden(C,B))))))) # label(d1_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9035 (all A all B all C (v4_group_1(B) & l1_group_1(B) & m1_subset_1(C,u1_struct_0(B)) & v3_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_0_group_3(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & r2_group_3(B,C,D) & D = A))))) # label(fraenkel_a_2_0_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9036 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k2_group_3(A,B,C),u1_struct_0(A)))) # label(dt_k2_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9037 $T # label(t87_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9038 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_group_2(D,A) -> k2_group_2(A,k13_group_2(A,D,B),C) = k11_group_2(A,D,k3_group_2(A,B,C)))))))))) # label(t13_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9039 (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]. 188.44/187.85 9040 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (-r1_xboole_0(k8_group_3(A,B),k8_group_3(A,C)) <-> k8_group_3(A,B) = k8_group_3(A,C)))))))) # label(t117_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9041 $T # label(t69_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9042 (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]. 188.44/187.85 9043 (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)) -> (B != k1_xboole_0 -> k5_group_3(A,B,C) = k6_domain_1(u1_struct_0(A),C)))))) <-> -v3_struct_0(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A)))) # label(t67_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9044 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (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]. 188.44/187.85 9045 (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) -> -((all C (v1_finset_1(C) -> -(k4_card_1(C) = k17_group_2(A,k11_group_3(A,B)) & C = k9_group_3(A,B)))) & (v1_finset_1(k14_group_2(A,k11_group_3(A,B))) | v1_finset_1(k9_group_3(A,B)))))))) # label(t162_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9046 (all A all B all C (-v3_struct_0(A) & l1_group_1(A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_group_1(A) & v3_group_1(A) -> (r3_group_3(A,B,C) <-> r4_group_3(A,B,C)))) # label(redefinition_r4_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9047 (all A all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (m1_group_2(C,B) -> (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]. 188.44/187.85 9048 (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)) -> 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]. 188.44/187.85 9049 (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 (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]. 188.44/187.85 9050 (all A all B all C (v4_group_1(A) & l1_group_1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_group_2(B,A) & v3_group_1(A) & -v3_struct_0(A) -> v1_group_1(k6_group_3(A,B,C)) & m1_group_2(k6_group_3(A,B,C),A))) # label(dt_k6_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9051 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (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]. 188.44/187.85 9052 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> 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]. 188.44/187.85 9053 (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) -> (r4_group_3(A,B,C) -> r4_group_3(A,C,B)))) # label(symmetry_r4_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9054 (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) -> k16_group_2(A,k11_group_3(A,B)) = k1_card_1(k9_group_3(A,B)))))) # label(t161_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9055 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r2_hidden(k4_group_3(A,C,B),k8_group_3(A,C)))))))) # label(t114_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9056 (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) -> (m1_group_2(B,A) & v1_group_3(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]. 188.44/187.85 9057 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(A,k4_group_3(B,D,C)) <-> (exists E (r2_hidden(E,D) & k2_group_3(B,E,C) = A & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t50_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9058 (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]. 188.44/187.85 9059 (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 (k6_group_3(A,C,D) = g1_group_1(u1_struct_0(B),u1_group_1(B)) & m1_subset_1(D,u1_struct_0(A)))) <-> r5_group_3(A,B,C)))))))) # label(d11_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9060 (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)) -> (v3_group_1(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> k2_group_3(A,B,C) = B))))))) # label(t35_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9061 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,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]. 188.44/187.85 9062 $T # label(t37_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9063 (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) -> k9_group_1(k6_group_3(A,C,B)) = k9_group_1(C)))))))) # label(t79_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9064 (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))) -> 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]. 188.44/187.85 9065 (all A all B all C (v3_group_1(A) & v4_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_group_1(A) & -v3_struct_0(A) -> r2_group_3(A,B,B))) # label(reflexivity_r2_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9066 (all A all B all C (l1_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_3_group_3(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & C = k4_group_3(B,C,D) & A = D))))) # label(fraenkel_a_2_3_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9067 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> v7_group_1(k5_group_2(A)))) # label(t3_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9068 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> ((exists D (k4_group_3(A,B,D) = C & m1_subset_1(D,u1_struct_0(A)))) <-> r3_group_3(A,B,C)))))))) # label(t104_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9069 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,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]. 188.44/187.85 9070 (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) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> ((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]. 188.44/187.85 9071 $T # label(t75_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9072 (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))) -> k4_group_3(A,B,k2_group_1(A)) = B)))) # label(t61_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9073 (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)) -> k16_group_2(A,k10_group_3(A,k6_domain_1(u1_struct_0(A),B))) = k1_card_1(k7_group_3(A,B)))))) # label(t157_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9074 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (m1_group_2(B,A) & v1_group_3(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))))))))) # label(t141_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9075 (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) -> 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]. 188.44/187.85 9076 (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))) -> ((exists D (A = D & r4_group_3(B,C,D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,k8_group_3(B,C))))))) # label(t111_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9077 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) & v1_group_1(B) -> (all C (v1_group_1(C) & 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]. 188.44/187.85 9078 (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) -> r5_group_3(A,B,B))))) # label(t122_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9079 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k3_group_3(A,k2_group_2(A,B,C),D),k2_group_2(A,k3_group_3(A,B,D),k3_group_3(A,C,D))))))))))) # label(t41_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9080 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_group_3(A,B,B))))) # label(t89_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9081 (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_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(A,k5_group_3(B,D,C)) <-> (exists E (k2_group_3(B,C,E) = A & r2_hidden(E,D) & m1_subset_1(E,u1_struct_0(B))))))))))) # label(t51_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.85 9082 (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]. 188.44/187.85 9083 (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]. 188.44/187.85 9084 (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))) -> 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]. 188.44/187.85 9085 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (v1_finset_1(k14_group_2(A,B)) & k17_group_2(A,B) = np__2 -> v1_group_3(B,A) & m1_group_2(B,A)))))) # label(t151_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9086 (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 (m1_group_2(C,A) & v1_group_3(C,A) & v1_group_1(C) -> (exists D (m1_group_2(D,A) & u1_struct_0(D) = k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) & v1_group_3(D,A) & v1_group_1(D))))))))) # label(t149_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9087 (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))) -> (r3_group_3(A,B,C) <-> (exists D (m1_subset_1(D,u1_struct_0(A)) & k4_group_3(A,C,D) = B))))))))) # label(d9_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9088 (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(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]. 188.44/187.86 9089 $T # label(t125_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9090 (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)) -> r2_hidden(k2_group_3(A,B,C),k7_group_3(A,B)))))))) # label(t97_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9091 $T # label(t126_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9092 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(B,k7_group_3(A,C)) -> r2_hidden(C,k7_group_3(A,B))))))))) # label(t99_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9093 (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 -> k3_group_3(A,B,C) = B))))) <-> -v3_struct_0(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A)))) # label(t65_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9094 (all A all B (-v3_struct_0(A) & v4_group_1(A) & m1_group_2(B,A) & l1_group_1(A) & v3_group_1(A) -> m1_subset_1(k9_group_3(A,B),k1_zfmisc_1(k1_group_3(A))))) # label(dt_k9_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9095 (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))) -> (r2_hidden(B,k8_group_3(A,C)) <-> r4_group_3(A,B,C)))))))) # label(t113_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9096 (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) -> k11_group_3(A,B) = k10_group_3(A,k7_group_2(A,B)))))) # label(d15_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9097 (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)) -> 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]. 188.44/187.86 9098 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> (r2_group_3(A,B,C) -> r2_group_3(A,C,B)))) # label(symmetry_r2_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9099 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_group_2(D,A) -> k4_group_2(A,B,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]. 188.44/187.86 9100 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r2_hidden(B,k8_group_3(A,B)))))) # label(t115_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9101 $T # label(t49_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9102 (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))) -> k5_group_3(A,k2_group_2(A,C,D),B) = k3_group_3(A,k5_group_3(A,C,B),D))))))))) # label(t55_group_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9103 (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 (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]. 188.44/187.86 9104 (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_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]. 188.44/187.86 9105 (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]. 188.44/187.86 9106 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (all E (v1_funct_1(E) & v1_funct_2(E,B,u1_struct_0(A)) & m2_relset_1(E,B,u1_struct_0(A)) -> (r2_hidden(C,D) -> r3_lattices(A,k8_funct_2(B,u1_struct_0(A),E,C),k2_lattice2(B,A,D,E))))))))))))) # label(t43_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9107 (all A (-v3_struct_0(A) & l1_lattices(A) & v7_lattices(A) -> v1_relat_1(u1_lattices(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(u1_lattices(A)))) # label(fc5_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9108 (all A (l3_lattices(A) -> (v6_group_1(A) & v10_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v7_lattices(A) & v9_lattices(A) & v10_lattices(A) & v14_lattices(A) & v8_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A)))) # label(cc4_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9109 (all A (l3_lattices(A) -> k1_lattice2(A) = g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)))) # label(d2_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9110 $T # label(t1_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9111 (all A (-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) -> r3_binop_1(u1_struct_0(A),k5_lattices(A),u2_lattices(A)))) # label(t66_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9112 (all A (l3_lattices(A) -> (v6_group_1(A) & v11_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v5_lattices(A) & v9_lattices(A) & v10_lattices(A) & v13_lattices(A) & v3_filter_0(A) & v1_lattice2(A) & v8_lattices(A) & v7_lattices(A) & v6_lattices(A) & v4_lattices(A) & -v3_struct_0(A)))) # label(cc6_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9113 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> r1_lattice2(u1_struct_0(A),u2_lattices(A),u1_lattices(A)))) # label(t40_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9114 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (v13_lattices(k1_lattice2(A)) <-> v14_lattices(A)))) # label(t64_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9115 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v6_group_1(A) & v10_lattices(A) -> -v3_struct_0(A) & v5_lattices(A) & v9_lattices(A) & v10_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v8_lattices(A) & v7_lattices(A) & v6_lattices(A) & v4_lattices(A)))) # label(cc5_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9116 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> (D = B & C = E -> k4_lattices(k1_lattice2(A),D,E) = k3_lattices(A,B,C) & k3_lattices(k1_lattice2(A),D,E) = k4_lattices(A,B,C)))))))))))) # label(t52_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9117 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> r1_lattice2(u1_struct_0(A),u1_lattices(A),u2_lattices(A)))) # label(t41_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9118 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & v1_funct_2(E,C,u1_struct_0(A)) & m2_relset_1(E,C,u1_struct_0(A)) -> ((all F (m1_subset_1(F,C) -> (r2_hidden(F,D) -> B = k8_funct_2(C,u1_struct_0(A),E,F)))) -> D = k1_xboole_0 | k3_lattice2(C,A,D,E) = B))))))))))) # label(t57_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9119 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & v1_funct_2(E,C,u1_struct_0(A)) & m2_relset_1(E,C,u1_struct_0(A)) -> (D != k1_xboole_0 -> k3_lattices(A,B,k2_lattice2(C,A,D,E)) = k2_lattice2(C,A,D,k8_funcop_1(u1_struct_0(A),C,u2_lattices(A),B,E))))))))))))) # label(t50_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9120 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(B)) -> (all D (v1_funct_1(D) & m2_relset_1(D,B,u1_struct_0(A)) & v1_funct_2(D,B,u1_struct_0(A)) -> (all E (v1_funct_2(E,B,u1_struct_0(A)) & m2_relset_1(E,B,u1_struct_0(A)) & v1_funct_1(E) -> ((all F (m1_subset_1(F,B) -> (r2_hidden(F,C) -> r3_lattices(A,k8_funct_2(B,u1_struct_0(A),D,F),k8_funct_2(B,u1_struct_0(A),E,F))))) -> C = k1_xboole_0 | r3_lattices(A,k3_lattice2(B,A,C,D),k3_lattice2(B,A,C,E))))))))))))) # label(t62_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9121 (all A (v14_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> r3_binop_1(u1_struct_0(A),k6_lattices(A),u1_lattices(A)))) # label(t72_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9122 (all A all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_1(k1_funct_4(C,k2_partfun1(A,B,D,E))) & m2_relset_1(k1_funct_4(C,k2_partfun1(A,B,D,E)),A,B) & v1_funct_2(k1_funct_4(C,k2_partfun1(A,B,D,E)),A,B))))))))) # label(t6_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9123 $T # label(t3_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9124 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(B)) -> (all D (v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(A)) & m2_relset_1(D,B,u1_struct_0(A)) -> (all E (v1_funct_1(E) & m2_relset_1(E,B,u1_struct_0(A)) & v1_funct_2(E,B,u1_struct_0(A)) -> (k2_partfun1(B,u1_struct_0(A),D,C) = k2_partfun1(B,u1_struct_0(A),E,C) -> k1_xboole_0 = C | k2_lattice2(B,A,C,E) = k2_lattice2(B,A,C,D)))))))))))) # label(t49_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9125 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v1_setwiseo(u2_lattices(A),u1_struct_0(A)) -> k5_lattices(A) = k3_binop_1(u1_struct_0(A),u2_lattices(A))))) # label(t28_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9126 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) -> r6_binop_1(u1_struct_0(A),u1_lattices(A),u2_lattices(A))))) # label(t37_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9127 $T # label(t15_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9128 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,k5_finsub_1(A)) -> k1_funct_4(k2_partfun1(A,B,C,E),D) = D)))))))) # label(t12_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9129 (exists A (l3_lattices(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v3_filter_0(A) & v1_lattice2(A) & v13_lattices(A) & v7_lattices(A) & -v3_struct_0(A))) # label(rc2_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9130 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v13_lattices(A) & v3_filter_0(A) <-> v1_lattice2(A)))) # label(d6_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9131 (all A (v7_lattices(A) & l1_lattices(A) & -v3_struct_0(A) -> v2_binop_1(u1_lattices(A),u1_struct_0(A)))) # label(t32_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9132 $T # label(t4_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9133 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & v1_funct_2(E,C,u1_struct_0(A)) & m2_relset_1(E,C,u1_struct_0(A)) -> ((exists F (r2_hidden(F,D) & r3_lattices(A,k8_funct_2(C,u1_struct_0(A),E,F),B) & m1_subset_1(F,C))) -> r3_lattices(A,k3_lattice2(C,A,D,E),B)))))))))))) # label(t56_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9134 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (-v3_struct_0(C) & l3_lattices(C) & v14_lattices(C) & v10_lattices(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(C)) & m2_relset_1(D,A,u1_struct_0(C)) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,u1_struct_0(C)) & v1_funct_2(E,A,u1_struct_0(C)) -> (k2_partfun1(A,u1_struct_0(C),E,B) = k2_partfun1(A,u1_struct_0(C),D,B) -> k3_lattice2(A,C,B,E) = k3_lattice2(A,C,B,D)))))))))))) # label(t75_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9135 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (l3_lattices(A) & v11_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> r6_binop_1(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))) # label(t35_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9136 (exists A (l3_lattices(A) & -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v9_lattices(A) & v1_lattice2(A) & v10_lattices(A) & v8_lattices(A) & v7_lattices(A) & v6_lattices(A))) # label(rc1_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9137 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(B)) -> (all D (m2_relset_1(D,B,u1_struct_0(A)) & v1_funct_2(D,B,u1_struct_0(A)) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,B,u1_struct_0(A)) & v1_funct_2(E,B,u1_struct_0(A)) -> (k2_partfun1(B,u1_struct_0(A),D,C) = k2_partfun1(B,u1_struct_0(A),E,C) -> k3_lattice2(B,A,C,E) = k3_lattice2(B,A,C,D) | C = k1_xboole_0))))))))))) # label(t60_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9138 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k4_lattices(A,B,C) = C)) -> B = k6_lattices(A)))))) # label(t24_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9139 (all A (-v3_struct_0(A) & l3_lattices(A) & v13_lattices(A) & v10_lattices(A) -> v1_setwiseo(u2_lattices(A),u1_struct_0(A)))) # label(t67_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9140 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v2_binop_1(u1_lattices(A),u1_struct_0(A)) & r1_lattice2(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) & r1_lattice2(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) & v1_binop_1(u1_lattices(A),u1_struct_0(A)) & v2_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_binop_1(u2_lattices(A),u1_struct_0(A)) -> v10_lattices(A)))) # label(t17_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9141 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_2(E,C,u1_struct_0(A)) -> (r3_lattices(A,B,k3_lattice2(C,A,D,E)) -> (all F (m1_subset_1(F,C) -> (r2_hidden(F,D) -> r3_lattices(A,B,k8_funct_2(C,u1_struct_0(A),E,F)))))))))))))))) # label(t59_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9142 (all A (l1_lattices(A) & v6_lattices(A) & -v3_struct_0(A) -> v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(u1_lattices(A)) & v1_relat_1(u1_lattices(A)))) # label(fc4_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9143 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,C) -> k1_funct_1(D,F) = k1_funct_1(E,F)))) -> E = k1_funct_4(E,k2_partfun1(A,B,D,C))))))))))) # label(t10_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9144 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (r6_binop_1(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) -> v11_lattices(A)))) # label(t38_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9145 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> (r3_lattices(k1_lattice2(A),D,E) & E = C & B = D -> r3_lattices(A,C,B)))))))))))) # label(t54_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9146 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (v1_setwiseo(u1_lattices(A),u1_struct_0(A)) -> k6_lattices(A) = k3_binop_1(u1_struct_0(A),u1_lattices(A))))) # label(t33_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9147 (all A (-v1_xboole_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D (v1_funct_2(D,A,u1_struct_0(B)) & m2_relset_1(D,A,u1_struct_0(B)) & v1_funct_1(D) -> (all E (v1_funct_2(E,A,u1_struct_0(k1_lattice2(B))) & m2_relset_1(E,A,u1_struct_0(k1_lattice2(B))) & v1_funct_1(E) -> (D = E -> k2_lattice2(A,k1_lattice2(B),C,E) = k3_lattice2(A,B,C,D) & k2_lattice2(A,B,C,D) = k3_lattice2(A,k1_lattice2(B),C,E)))))))))))) # label(t51_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9148 (all A (-v3_struct_0(A) & l3_lattices(A) & v14_lattices(A) & v10_lattices(A) -> v1_setwiseo(u1_lattices(A),u1_struct_0(A)))) # label(t73_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9149 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v1_lattice2(A) & v10_lattices(A) -> v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v9_lattices(A) & v3_filter_0(A) & v13_lattices(A) & v10_lattices(A) & v8_lattices(A) & -v3_struct_0(A)))) # label(cc1_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9150 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (v10_lattices(C) & l3_lattices(C) & v13_lattices(C) & v11_lattices(C) & -v3_struct_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(D,A,u1_struct_0(C)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> k2_binop_1(u1_struct_0(C),u1_struct_0(C),u1_struct_0(C),u1_lattices(C),E,k2_lattice2(A,C,B,D)) = k2_lattice2(A,C,B,k8_funcop_1(u1_struct_0(C),A,u1_lattices(C),E,D)))))))))))) # label(t81_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9151 (all A (l3_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)))) # label(fc1_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9152 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (-v3_struct_0(C) & v10_lattices(C) & v11_lattices(C) & l3_lattices(C) & v13_lattices(C) -> (all D (m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(D,A,u1_struct_0(C)) & v1_funct_1(D) -> (all E (m2_relset_1(E,A,u1_struct_0(C)) & v1_funct_2(E,A,u1_struct_0(C)) & v1_funct_1(E) -> (all F (m1_subset_1(F,u1_struct_0(C)) -> ((all G (m1_subset_1(G,A) -> (r2_hidden(G,B) -> k4_lattices(C,F,k8_funct_2(A,u1_struct_0(C),E,G)) = k8_funct_2(A,u1_struct_0(C),D,G)))) -> k2_lattice2(A,C,B,D) = k4_lattices(C,F,k2_lattice2(A,C,B,E))))))))))))))) # label(t82_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9153 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (v10_lattices(C) & v13_lattices(C) & l3_lattices(C) & -v3_struct_0(C) -> (all D (m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(D,A,u1_struct_0(C)) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(C)) & m2_relset_1(E,A,u1_struct_0(C)) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,B) -> r3_lattices(C,k8_funct_2(A,u1_struct_0(C),D,F),k8_funct_2(A,u1_struct_0(C),E,F))))) -> r3_lattices(C,k2_lattice2(A,C,B,D),k2_lattice2(A,C,B,E))))))))))))) # label(t71_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9154 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (l3_lattices(C) & v14_lattices(C) & v10_lattices(C) & -v3_struct_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(D,A,u1_struct_0(C)) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,u1_struct_0(C)) & m2_relset_1(E,A,u1_struct_0(C)) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,B) -> r3_lattices(C,k8_funct_2(A,u1_struct_0(C),D,F),k8_funct_2(A,u1_struct_0(C),E,F))))) -> r3_lattices(C,k3_lattice2(A,C,B,D),k3_lattice2(A,C,B,E))))))))))))) # label(t77_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9155 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v13_lattices(A) & v3_filter_0(A) & v10_lattices(A) -> -v3_struct_0(A) & v6_lattices(A) & v9_lattices(A) & v1_lattice2(A) & v10_lattices(A) & v8_lattices(A) & v7_lattices(A) & v5_lattices(A) & v4_lattices(A)))) # label(cc2_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9156 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,B,C) = C)) -> k5_lattices(A) = B))))) # label(t21_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9157 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(B)) -> (all D (v1_funct_1(D) & v1_funct_2(D,B,u1_struct_0(A)) & m2_relset_1(D,B,u1_struct_0(A)) -> (all E (v1_funct_2(E,B,u1_struct_0(A)) & m2_relset_1(E,B,u1_struct_0(A)) & v1_funct_1(E) -> ((all F (m1_subset_1(F,B) -> (r2_hidden(F,C) -> r3_lattices(A,k8_funct_2(B,u1_struct_0(A),D,F),k8_funct_2(B,u1_struct_0(A),E,F))))) -> C = k1_xboole_0 | r3_lattices(A,k2_lattice2(B,A,C,D),k2_lattice2(B,A,C,E))))))))))))) # label(t48_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9158 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_2(E,C,u1_struct_0(A)) & v1_funct_1(E) -> (D != k1_xboole_0 -> k4_lattices(A,B,k3_lattice2(C,A,D,E)) = k3_lattice2(C,A,D,k8_funcop_1(u1_struct_0(A),C,u1_lattices(A),B,E))))))))))))) # label(t58_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9159 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> r6_binop_1(u1_struct_0(A),u2_lattices(A),u2_lattices(A)))) # label(t34_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9160 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (r6_binop_1(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> v11_lattices(A)))) # label(t36_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9161 (all A (-v1_xboole_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m2_relset_1(D,A,u1_struct_0(B)) -> k7_setwiseo(A,u1_struct_0(B),u2_lattices(B),C,D) = k2_lattice2(A,B,C,D))))))))) # label(d3_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9162 $T # label(t11_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9163 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> D = k2_binop_1(A,A,A,B,D,k2_binop_1(A,A,A,C,D,E)))))) <-> r1_lattice2(A,B,C)))))))) # label(d1_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9164 $T # label(t20_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9165 (all A (l3_lattices(A) -> (v6_group_1(A) & v10_lattices(A) & -v3_struct_0(A) -> v4_lattices(A) & v5_lattices(A) & v8_lattices(A) & v9_lattices(A) & v13_lattices(A) & v10_lattices(A) & v7_lattices(A) & v6_lattices(A) & -v3_struct_0(A)))) # label(cc3_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9166 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (r1_tarski(B,A) -> k1_funct_4(A,B) = A))))) # label(t8_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9167 $T # label(t42_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9168 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v14_lattices(A) -> k6_lattices(A) = k5_lattices(k1_lattice2(A)))) # label(t79_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9169 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (v10_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)) & v11_lattices(k1_lattice2(A)) & -v3_struct_0(k1_lattice2(A)) <-> -v3_struct_0(A) & l3_lattices(A) & v11_lattices(A) & v10_lattices(A)))) # label(t65_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9170 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,B) -> (all D (m1_subset_1(D,k5_finsub_1(B)) -> (all E (m2_relset_1(E,B,u1_struct_0(A)) & v1_funct_2(E,B,u1_struct_0(A)) & v1_funct_1(E) -> (r2_hidden(C,D) -> r3_lattices(A,k3_lattice2(B,A,D,E),k8_funct_2(B,u1_struct_0(A),E,C))))))))))))) # label(t55_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9171 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (-v3_struct_0(C) & l3_lattices(C) & v13_lattices(C) & v10_lattices(C) -> (all D (m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(D,A,u1_struct_0(C)) & v1_funct_1(D) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,B) -> r3_lattices(C,k8_funct_2(A,u1_struct_0(C),D,F),E)))) -> r3_lattices(C,k2_lattice2(A,C,B,D),E)))))))))))) # label(t70_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9172 (all A (l3_lattices(A) & -v3_struct_0(A) -> u1_struct_0(A) = u1_struct_0(k1_lattice2(A)) & u1_lattices(k1_lattice2(A)) = u2_lattices(A) & u1_lattices(A) = u2_lattices(k1_lattice2(A)))) # label(t18_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9173 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> r6_binop_1(u1_struct_0(A),u1_lattices(A),u1_lattices(A)))) # label(t39_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9174 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,k5_finsub_1(A)) -> (k2_partfun1(A,B,D,E) = k2_partfun1(A,B,C,E) -> k2_funct_2(A,B,C,E) = k2_funct_2(A,B,D,E)))))))))) # label(t16_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9175 (all A (-v1_xboole_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k5_finsub_1(A)) -> (all D (v1_funct_2(D,A,u1_struct_0(B)) & m2_relset_1(D,A,u1_struct_0(B)) & v1_funct_1(D) -> k3_lattice2(A,B,C,D) = k7_setwiseo(A,u1_struct_0(B),u1_lattices(B),C,D))))))))) # label(d4_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9176 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v13_lattices(A) & v11_lattices(A) -> r6_binop_1(u1_struct_0(A),u1_lattices(A),u2_lattices(A)))) # label(t80_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9177 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & v1_funct_2(E,C,u1_struct_0(A)) & m2_relset_1(E,C,u1_struct_0(A)) -> ((all F (m1_subset_1(F,C) -> (r2_hidden(F,D) -> r3_lattices(A,B,k8_funct_2(C,u1_struct_0(A),E,F))))) -> r3_lattices(A,B,k3_lattice2(C,A,D,E)) | D = k1_xboole_0))))))))))) # label(t61_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9178 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> (all D (m1_subset_1(D,k5_finsub_1(A)) -> k1_relat_1(k2_partfun1(A,B,C,D)) = D)))))) # label(t13_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9179 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v3_binop_1(u2_lattices(A),u1_struct_0(A)))) # label(t26_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9180 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v3_binop_1(u1_lattices(A),u1_struct_0(A)))) # label(t30_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9181 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> (k2_partfun1(A,B,E,C) = k2_partfun1(A,B,D,C) <-> (all F (m1_subset_1(F,A) -> (r2_hidden(F,C) -> k1_funct_1(E,F) = k1_funct_1(D,F))))))))))))) # label(t5_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9182 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_2(E,C,u1_struct_0(A)) & v1_funct_1(E) -> (r3_lattices(A,k2_lattice2(C,A,D,E),B) -> (all F (m1_subset_1(F,C) -> (r2_hidden(F,D) -> r3_lattices(A,k8_funct_2(C,u1_struct_0(A),E,F),B))))))))))))))) # label(t46_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9183 (all A (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) -> v1_binop_1(u1_lattices(A),u1_struct_0(A)))) # label(t31_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9184 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m2_relset_1(D,A,B) & v1_funct_2(D,A,B) & v1_funct_1(D) -> k1_relat_1(k2_partfun1(A,B,D,C)) = C)))))) # label(t2_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9185 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (v13_lattices(C) & l3_lattices(C) & v10_lattices(C) & -v3_struct_0(C) -> (all D (m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_2(D,A,u1_struct_0(C)) & v1_funct_1(D) -> (all E (m2_relset_1(E,A,u1_struct_0(C)) & v1_funct_2(E,A,u1_struct_0(C)) & v1_funct_1(E) -> (k2_partfun1(A,u1_struct_0(C),D,B) = k2_partfun1(A,u1_struct_0(C),E,B) -> k2_lattice2(A,C,B,D) = k2_lattice2(A,C,B,E)))))))))))) # label(t69_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9186 (all A (-v3_struct_0(A) & v13_lattices(A) & l3_lattices(A) & v10_lattices(A) -> k3_binop_1(u1_struct_0(A),u2_lattices(A)) = k5_lattices(A))) # label(t68_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9187 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v13_lattices(A) <-> v14_lattices(k1_lattice2(A))))) # label(t63_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9188 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & v1_funct_2(E,C,u1_struct_0(A)) & m2_relset_1(E,C,u1_struct_0(A)) -> ((all F (m1_subset_1(F,C) -> (r2_hidden(F,D) -> B = k8_funct_2(C,u1_struct_0(A),E,F)))) -> D = k1_xboole_0 | k2_lattice2(C,A,D,E) = B))))))))))) # label(t45_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9189 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (m1_subset_1(E,k5_finsub_1(A)) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,E) -> k1_funct_1(D,F) = k1_funct_1(C,F)))) -> k1_funct_4(D,k2_partfun1(A,B,C,E)) = D))))))))) # label(t14_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9190 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> (all D (m1_subset_1(D,u1_struct_0(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> (C = E & D = B -> r3_lattices(k1_lattice2(A),E,D))))))))))))) # label(t53_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9191 (all A (-v3_struct_0(A) & v13_lattices(A) & l3_lattices(A) & v10_lattices(A) -> k6_lattices(k1_lattice2(A)) = k5_lattices(A))) # label(t78_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9192 $T # label(t23_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9193 (all A (l3_lattices(A) -> v3_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)))) # label(dt_k1_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9194 (all A all B all C all D (-v1_xboole_0(A) & -v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v1_funct_1(D) & v1_funct_2(D,A,u1_struct_0(B)) & m1_relset_1(D,A,u1_struct_0(B)) & m1_subset_1(C,k5_finsub_1(A)) -> m1_subset_1(k2_lattice2(A,B,C,D),u1_struct_0(B)))) # label(dt_k2_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9195 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> D = k1_funct_4(D,k2_partfun1(A,B,D,C)))))))) # label(t9_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9196 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,C) = C)) -> k6_lattices(A) = B))))) # label(t25_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9197 (all A all B all C all D (-v3_struct_0(B) & v1_funct_2(D,A,u1_struct_0(B)) & m1_relset_1(D,A,u1_struct_0(B)) & v1_funct_1(D) & m1_subset_1(C,k5_finsub_1(A)) & l3_lattices(B) & v10_lattices(B) & -v1_xboole_0(A) -> m1_subset_1(k3_lattice2(A,B,C,D),u1_struct_0(B)))) # label(dt_k3_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9198 (all A (-v3_struct_0(A) & l2_lattices(A) & v5_lattices(A) -> v2_binop_1(u2_lattices(A),u1_struct_0(A)))) # label(t29_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9199 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v6_group_1(A) <-> v6_group_1(k1_lattice2(A))))) # label(t85_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9200 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C) = C)) -> k5_lattices(A) = B))))) # label(t22_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.86 9201 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (-v3_struct_0(C) & v10_lattices(C) & l3_lattices(C) & v14_lattices(C) -> (all D (v1_funct_2(D,A,u1_struct_0(C)) & m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_1(D) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> ((all F (m1_subset_1(F,A) -> (r2_hidden(F,B) -> r3_lattices(C,E,k8_funct_2(A,u1_struct_0(C),D,F))))) -> r3_lattices(C,E,k3_lattice2(A,C,B,D))))))))))))) # label(t76_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9202 (all A all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,B) & v1_funct_2(D,A,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,B) & m2_relset_1(E,A,B) -> k1_funct_4(k2_partfun1(A,B,D,C),E) = E)))))))) # label(t7_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9203 (all A (l3_lattices(A) & v13_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v1_lattice2(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & r3_lattices(A,k4_lattices(A,B,D),C) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r3_lattices(A,k4_lattices(A,B,E),C) -> r3_lattices(A,E,D))))))))))))) # label(t84_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9204 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (v1_funct_1(E) & m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_2(E,C,u1_struct_0(A)) -> ((exists F (m1_subset_1(F,C) & r3_lattices(A,B,k8_funct_2(C,u1_struct_0(A),E,F)) & r2_hidden(F,D))) -> r3_lattices(A,B,k2_lattice2(C,A,D,E))))))))))))) # label(t44_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9205 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v4_lattices(k1_lattice2(A)))) # label(fc6_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9206 (all A (-v3_struct_0(A) & v5_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_lattices(A)) & v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc3_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9207 (all A (l3_lattices(A) & v14_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k3_binop_1(u1_struct_0(A),u1_lattices(A)) = k6_lattices(A))) # label(t74_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9208 (all A (l2_lattices(A) & v4_lattices(A) & -v3_struct_0(A) -> v1_binop_1(u2_lattices(A),u1_struct_0(A)))) # label(t27_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9209 $T # label(d5_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9210 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(A)) -> (all C (l3_lattices(C) & v13_lattices(C) & v11_lattices(C) & v10_lattices(C) & -v3_struct_0(C) -> (all D (v1_funct_2(D,A,u1_struct_0(C)) & m2_relset_1(D,A,u1_struct_0(C)) & v1_funct_1(D) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> k4_lattices(C,E,k2_lattice2(A,C,B,D)) = k2_lattice2(A,C,B,k8_funcop_1(u1_struct_0(C),A,u1_lattices(C),E,D)))))))))))) # label(t83_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9211 (all A (-v3_struct_0(A) & l2_lattices(A) & v4_lattices(A) -> v1_funct_1(u2_lattices(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_relat_1(u2_lattices(A)))) # label(fc2_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9212 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,k5_finsub_1(C)) -> (all E (m2_relset_1(E,C,u1_struct_0(A)) & v1_funct_2(E,C,u1_struct_0(A)) & v1_funct_1(E) -> ((all F (m1_subset_1(F,C) -> (r2_hidden(F,D) -> r3_lattices(A,k8_funct_2(C,u1_struct_0(A),E,F),B)))) -> r3_lattices(A,k2_lattice2(C,A,D,E),B) | k1_xboole_0 = D))))))))))) # label(t47_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9213 (all A (-v3_struct_0(A) & v3_lattices(A) & l3_lattices(A) -> k1_lattice2(k1_lattice2(A)) = A)) # label(t19_lattice2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9214 (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) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (v2_group_4(B,A) -> r1_rlvect_1(B,C) | A = k5_group_4(A,k4_subset_1(u1_struct_0(A),k7_group_2(A,B),k6_domain_1(u1_struct_0(A),C)))))))))) # label(t48_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9215 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> (r1_rlvect_1(D,C) -> r1_rlvect_1(D,k6_group_1(B,A,C))))))))))) # label(t5_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9216 (all A (-v3_struct_0(A) & l1_group_1(A) & v2_group_1(A) -> k2_group_1(A) = k3_group_4(A,k6_finseq_1(u1_struct_0(A))))) # label(t11_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9217 (all A (v1_int_1(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> (r1_rlvect_1(D,C) -> r1_rlvect_1(D,k6_group_1(B,A,C))))))))))) # label(t6_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9218 (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_1(C) & m1_group_2(C,A) -> -v2_group_4(C,A))) -> r1_rlvect_1(k6_group_4(A),B)))))) # label(t53_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9219 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k3_group_2(A,B,k7_group_4(A,C,D)) = k10_group_2(A,D,k12_group_2(A,C,B)))))))))) # label(t60_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9220 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k2_group_2(A,k7_group_4(A,C,D),B) = k11_group_2(A,C,k11_group_2(A,D,B)))))))))) # label(t63_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9221 (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_group_2(k5_group_4(A,B),A) & v1_group_1(k5_group_4(A,B)))) # label(dt_k5_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9222 (all A all B all C (v3_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & v4_group_1(A) & -v3_struct_0(A) -> v1_group_1(k8_group_4(A,B,C)) & m1_group_2(k8_group_4(A,B,C),A))) # label(dt_k8_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9223 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> ((exists E ((exists F (m2_finseq_1(F,k4_numbers) & k3_group_4(A,k4_group_4(A,F,E)) = B & r1_tarski(k2_relat_1(E),k4_subset_1(u1_struct_0(A),k7_group_2(A,C),k7_group_2(A,D))) & k3_finseq_1(F) = k3_finseq_1(E))) & m2_finseq_1(E,u1_struct_0(A)))) <-> r1_rlvect_1(k8_group_4(A,C,D),B)))))))))) # label(t67_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9224 $T # label(t23_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9225 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (m1_group_2(B,C) <-> r1_group_2(A,k8_group_4(A,B,C),C)))))))) # label(t79_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9226 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A)) = k11_group_4(A))) # label(d13_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9227 $T # label(t91_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9228 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> u1_struct_0(k11_group_4(A)) = k1_group_3(A))) # label(t92_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9229 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> r1_group_2(A,k9_group_2(A,C,k8_group_4(A,C,B)),C))))))) # label(t85_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9230 (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) & v1_group_3(B,A) -> (all C (m1_group_2(C,A) & v1_group_3(C,A) & v1_group_1(C) -> k7_group_4(A,B,C) = u1_struct_0(k8_group_4(A,B,C)))))))) # label(t71_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9231 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (-v3_struct_0(A) & v3_group_1(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) -> k7_group_4(A,C,B) = k7_group_4(A,B,C)))))))) # label(t65_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9232 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> r1_group_2(A,k8_group_4(A,B,B),B))))) # label(t73_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9233 (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))) -> (r2_hidden(B,C) -> r1_rlvect_1(k5_group_4(A,C),B)))))))) # label(t38_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9234 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (v7_group_1(A) & l1_group_1(A) & k3_finseq_1(D) = k3_finseq_1(B) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(B)) -> k1_group_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),C,E),k4_finseq_4(k5_numbers,u1_struct_0(A),D,E)) = k1_funct_1(B,E)))) & k3_finseq_1(C) = k3_finseq_1(B) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k3_group_4(A,B) = k1_group_1(A,k3_group_4(A,C),k3_group_4(A,D))))))))))) # label(t20_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9235 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> r1_group_2(A,k8_group_4(A,k5_group_2(A),B),B) & r1_group_2(A,k8_group_4(A,B,k5_group_2(A)),B))))) # label(t76_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9236 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v3_lattices(k11_group_4(A)) & v4_lattices(k11_group_4(A)) & v6_lattices(k11_group_4(A)) & v7_lattices(k11_group_4(A)) & v13_lattices(k11_group_4(A)) & v14_lattices(k11_group_4(A)) & v15_lattices(k11_group_4(A)) & v10_lattices(k11_group_4(A)) & v9_lattices(k11_group_4(A)) & v8_lattices(k11_group_4(A)) & v5_lattices(k11_group_4(A)) & -v3_struct_0(k11_group_4(A)))) # label(fc1_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9237 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> k3_group_4(A,B) = k3_group_4(A,k1_group_4(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),k2_group_1(A)))))))) # label(t16_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9238 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (k3_finseq_1(B) = k3_finseq_1(C) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(B)) -> k1_funct_1(C,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),D),np__1)) = k3_group_1(A,k4_finseq_4(k5_numbers,u1_struct_0(A),B,D))))) -> k3_group_4(A,B) = k3_group_1(A,k3_group_4(A,C))))))))) # label(t17_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9239 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> k6_lattices(k11_group_4(A)) = k6_group_2(A))) # label(t99_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9240 $T # label(t22_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9241 (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) -> (v2_group_4(B,A) <-> g1_group_1(u1_struct_0(A),u1_group_1(A)) != g1_group_1(u1_struct_0(B),u1_group_1(B)) & (all C (m1_group_2(C,A) & v1_group_1(C) -> (m1_group_2(B,C) -> g1_group_1(u1_struct_0(B),u1_group_1(B)) = C | g1_group_1(u1_struct_0(A),u1_group_1(A)) = C)))))))) # label(d7_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9242 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m2_relset_1(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & v1_funct_1(B) -> ((all C (m1_subset_1(C,k1_group_3(A)) -> (all D (m1_subset_1(D,k1_group_3(A)) -> (all E (m1_group_2(E,A) -> (all F (m1_group_2(F,A) -> (E = C & F = D -> k2_binop_1(k1_group_3(A),k1_group_3(A),k1_group_3(A),B,C,D) = k9_group_2(A,E,F)))))))))) <-> B = k10_group_4(A)))))) # label(d12_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9243 (all A all B all C (-v1_xboole_0(A) & m1_finseq_1(B,A) -> k1_finseq_3(B,C) = k1_group_4(A,B,C))) # label(redefinition_k1_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9244 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> m1_group_2(B,k8_group_4(A,B,C)) & m1_group_2(C,k8_group_4(A,B,C)))))))) # label(t78_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9245 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_group_4(A,k12_finseq_1(u1_struct_0(A),B)) = B)))) # label(t12_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9246 (all A (v2_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,C,k3_group_4(A,B)) = k3_group_4(A,k8_finseq_1(u1_struct_0(A),k12_finseq_1(u1_struct_0(A),C),B)))))))) # label(t10_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9247 (all A (-v3_struct_0(A) & l1_group_1(A) & v2_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_group_4(A,k8_finseq_1(u1_struct_0(A),B,k12_finseq_1(u1_struct_0(A),C))) = k1_group_1(A,k3_group_4(A,B),C))))))) # label(t9_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9248 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & v1_funct_1(B) -> (B = k9_group_4(A) <-> (all C (m1_subset_1(C,k1_group_3(A)) -> (all D (m1_subset_1(D,k1_group_3(A)) -> (all E (m1_group_2(E,A) -> (all F (m1_group_2(F,A) -> (E = C & F = D -> k2_binop_1(k1_group_3(A),k1_group_3(A),k1_group_3(A),B,C,D) = k8_group_4(A,E,F))))))))))))))) # label(d11_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9249 (all A (-v3_struct_0(A) & v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (r1_rlvect_1(k6_group_4(A),B) <-> -v1_group_4(B,A)))))) # label(t56_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9250 (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) -> k10_group_2(A,D,k7_group_4(A,B,C)) = k11_group_2(A,B,k7_group_4(A,C,D)))))))))) # label(t59_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9251 $T # label(t35_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9252 (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)) -> B = k4_group_4(A,k1_finsop_1(k4_numbers,k3_finseq_1(B),k2_group_4(np__1)),B))))) # label(t31_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9253 (all A (v1_int_1(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (E = C -> k6_group_1(B,A,C) = k6_group_1(D,A,E)))))))))))) # label(t4_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9254 (exists A (r1_tarski(A,k1_group_3(f1_s2_group_4)) & (all B (v1_group_1(B) & m1_group_2(B,f1_s2_group_4) -> (p1_s2_group_4(B) <-> r2_hidden(B,A)))))) # label(s2_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9255 $T # label(d1_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9256 $T # label(t88_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9257 $T # label(t50_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9258 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,k4_numbers) -> (r1_tarski(k2_relat_1(C),k7_group_2(A,B)) -> r1_rlvect_1(B,k3_group_4(A,k4_group_4(A,D,C)))))))))))) # label(t26_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9259 (all A (v1_int_1(A) -> (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)) -> k4_group_4(C,k2_finseq_4(k4_numbers,k2_group_4(A),k2_group_4(B)),k7_rlvect_1(C,D,E)) = k7_rlvect_1(C,k6_group_1(C,A,D),k6_group_1(C,B,E)))))))))))) # label(t29_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9260 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k10_group_2(A,D,k10_group_2(A,C,B)) = k2_group_2(A,B,k7_group_4(A,C,D)))))))))) # label(t62_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9261 (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_1(C) & m1_group_2(C,A) -> (all D (m1_group_2(D,A) & v1_group_1(D) -> (m1_group_2(B,D) -> m1_group_2(k8_group_4(A,B,C),k8_group_4(A,D,C))))))))))) # label(t82_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9262 $T # label(t96_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9263 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) -> u1_struct_0(k6_group_4(A)) = a_1_1_group_4(A))) # label(t55_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9264 (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)) -> ((exists C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & g1_group_1(u1_struct_0(A),u1_group_1(A)) = k5_group_4(A,C) & g1_group_1(u1_struct_0(A),u1_group_1(A)) != k5_group_4(A,k6_subset_1(u1_struct_0(A),C,k6_domain_1(u1_struct_0(A),B))))) <-> v1_group_4(B,A)))))) # label(d6_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9265 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> m1_group_2(k9_group_2(A,B,C),k8_group_4(A,B,C)))))))) # label(t83_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9266 (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) -> k7_group_2(A,B) = k7_group_4(A,B,B))))) # label(t58_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9267 (exists A (v1_group_1(A) & m1_group_2(A,f1_s1_group_4) & p1_s1_group_4(A))) -> (exists A (v1_group_1(A) & m1_group_2(A,f1_s1_group_4) & u1_struct_0(A) = k1_setfam_1(a_0_0_group_4))) # label(s1_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9268 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> -v1_group_4(k2_group_1(A),A))) # label(t46_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9269 $T # label(t89_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9270 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> m1_group_2(k5_group_4(A,k5_subset_1(u1_struct_0(A),B,C)),k9_group_2(A,k5_group_4(A,B),k5_group_4(A,C))))))))) # label(t42_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9271 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> k3_group_4(A,B) = k2_finsop_1(u1_struct_0(A),B,u1_group_1(A)))))) # label(d3_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9272 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> k4_group_4(A,k6_finseq_1(k4_numbers),k6_finseq_1(u1_struct_0(A))) = k1_xboole_0)) # label(t27_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9273 (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)) -> k4_group_4(B,k12_finseq_1(k4_numbers,k2_group_4(A)),k12_finseq_1(u1_struct_0(B),C)) = k12_finseq_1(u1_struct_0(B),k6_group_1(B,A,C)))))))) # label(t28_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9274 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_group_2(D,B) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (C = E -> k6_group_1(B,A,C) = k6_group_1(D,A,E)))))))))))) # label(t3_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9275 (all A (v1_int_1(A) -> k2_group_4(A) = A)) # label(d2_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9276 $T # label(t1_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9277 (all A all B (-v3_struct_0(A) & m1_finseq_1(B,u1_struct_0(A)) & l1_group_1(A) -> m1_subset_1(k3_group_4(A,B),u1_struct_0(A)))) # label(dt_k3_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9278 (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) -> r1_group_2(A,k5_group_4(A,k7_group_2(A,B)),B))))) # label(t40_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9279 $T # label(t2_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9280 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> v1_funct_2(k10_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m2_relset_1(k10_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & v1_funct_1(k10_group_4(A)))) # label(dt_k10_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9281 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k7_group_4(A,B,C) = k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)) & k7_group_4(A,B,C) = k11_group_2(A,B,k7_group_2(A,C)) & k7_group_4(A,B,C) = k10_group_2(A,C,k7_group_2(A,B)))))))) # label(t57_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9282 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k7_group_4(A,B,C) = k2_group_2(A,k7_group_2(A,B),k7_group_2(A,C)))))))) # label(d9_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9283 $T # label(t7_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9284 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_group_1(A,B,k1_group_1(A,C,D)) = k3_group_4(A,k8_rlvect_1(A,B,C,D)) & k3_group_4(A,k8_rlvect_1(A,B,C,D)) = k1_group_1(A,k1_group_1(A,B,C),D))))))))) # label(t14_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9285 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v1_funct_2(k9_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m2_relset_1(k9_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & v1_funct_1(k9_group_4(A)))) # label(dt_k9_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9286 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,k4_numbers) -> (all E (m2_finseq_1(E,k4_numbers) -> (k3_finseq_1(E) = k3_finseq_1(C) & k3_finseq_1(D) = k3_finseq_1(B) -> k4_group_4(A,k8_finseq_1(k4_numbers,D,E),k8_finseq_1(u1_struct_0(A),B,C)) = k8_finseq_1(u1_struct_0(A),k4_group_4(A,D,B),k4_group_4(A,E,C))))))))))))) # label(t25_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9287 (all A (-v3_struct_0(A) & v2_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> k1_group_1(A,k3_group_4(A,B),k3_group_4(A,C)) = k3_group_4(A,k8_finseq_1(u1_struct_0(A),B,C)))))))) # label(t8_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9288 (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 (v1_group_1(D) & m1_group_2(D,A) -> (m1_group_2(C,D) & m1_group_2(B,D) -> m1_group_2(k8_group_4(A,B,C),D)))))))))) # label(t81_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9289 $T # label(t87_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9290 $T # label(t95_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9291 (all A (v1_int_1(A) -> m1_subset_1(k2_group_4(A),k4_numbers))) # label(dt_k2_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9292 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> r1_group_2(A,k8_group_4(A,B,k6_group_2(A)),k6_group_2(A)) & r1_group_2(A,k8_group_4(A,k6_group_2(A),B),k6_group_2(A)))))) # label(t77_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9293 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> k4_group_4(A,k1_finsop_1(k4_numbers,k3_finseq_1(B),k2_group_4(np__0)),B) = k1_finsop_1(u1_struct_0(A),k3_finseq_1(B),k2_group_1(A)))))) # label(t32_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9294 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> (m1_group_2(B,C) -> m1_group_2(B,k8_group_4(A,C,D))))))))))) # label(t80_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9295 $T # label(t97_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9296 $T # label(t49_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9297 $T # label(t51_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9298 (all A all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (r2_hidden(A,a_1_0_group_4(B)) <-> (exists C (C = A & (exists D (v1_group_1(D) & u1_struct_0(D) = C & v2_group_4(D,B) & m1_group_2(D,B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))))))) # label(fraenkel_a_1_0_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9299 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> m1_group_2(k6_group_4(A),A) & v1_group_1(k6_group_4(A)))) # label(dt_k6_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9300 (all A all B all C (-v1_xboole_0(A) & m1_finseq_1(B,A) -> m2_finseq_1(k1_group_4(A,B,C),A))) # label(dt_k1_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9301 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> r1_group_2(A,k8_group_4(A,B,C),k8_group_4(A,C,B)))))))) # label(t74_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9302 $T # label(t90_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9303 (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))) -> r1_group_2(A,k5_group_4(A,B),k5_group_4(A,k6_subset_1(u1_struct_0(A),B,k6_domain_1(u1_struct_0(A),k2_group_1(A))))))))) # label(t44_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9304 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> r1_group_2(A,k8_group_4(A,k8_group_4(A,B,C),D),k8_group_4(A,B,k8_group_4(A,C,D))))))))))) # label(t75_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9305 (all A all B all C (l1_group_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> ((exists D (D = A & (exists E (u1_struct_0(E) = D & r1_tarski(C,k7_group_2(B,E)) & m1_group_2(E,B) & v1_group_1(E))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,a_2_0_group_4(B,C))))) # label(fraenkel_a_2_0_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9306 (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 (l1_group_1(C) & v4_group_1(C) & v3_group_1(C) & -v3_struct_0(C) -> ((exists D (v1_group_1(D) & v2_group_4(D,C) & m1_group_2(D,C))) -> ((all D (v1_group_1(D) & m1_group_2(D,C) -> (v2_group_4(D,C) -> r1_rlvect_1(D,B)))) <-> r1_rlvect_1(k6_group_4(C),B))))))))) # label(t52_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9307 $T # label(t47_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9308 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k5_group_2(A) = k5_lattices(k11_group_4(A)))) # label(t98_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9309 $T # label(t24_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9310 (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) -> (v2_group_4(B,A) -> m1_group_2(k6_group_4(A),B)))))) # label(t54_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9311 $T # label(t36_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9312 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) & v1_group_1(C) -> r1_group_2(A,k8_group_4(A,k9_group_2(A,B,C),C),C))))))) # label(t84_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9313 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> r1_group_2(A,k5_group_4(A,k1_subset_1(u1_struct_0(A))),k5_group_2(A)))) # label(t39_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9314 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k8_group_4(A,B,C) = k5_group_4(A,k4_subset_1(u1_struct_0(A),k7_group_2(A,B),k7_group_2(A,C))))))))) # label(d10_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9315 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,k4_numbers) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(A)) -> (D = k4_group_4(A,B,C) <-> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(C)) -> k6_group_1(A,k2_group_4(k4_finseq_4(k5_numbers,k4_numbers,B,E)),k4_finseq_4(k5_numbers,u1_struct_0(A),C,E)) = k1_funct_1(D,E)))) & k3_finseq_1(C) = k3_finseq_1(D)))))))))) # label(d4_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9316 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) & l1_group_1(A) -> m1_subset_1(k7_group_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k7_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9317 $T # label(t66_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9318 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) & v1_group_1(B) -> (all C (v1_group_3(C,A) & m1_group_2(C,A) & v1_group_1(C) -> m1_group_2(k8_group_4(A,B,C),A) & v1_group_3(k8_group_4(A,B,C),A))))))) # label(t72_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.87 9319 (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) -> (r1_group_2(A,k9_group_2(A,B,C),B) <-> r1_group_2(A,k8_group_4(A,B,C),C)))))))) # label(t86_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9320 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & m1_finseq_1(B,k4_numbers) & m1_finseq_1(C,u1_struct_0(A)) & l1_group_1(A) & v3_group_1(A) -> m2_finseq_1(k4_group_4(A,B,C),u1_struct_0(A)))) # label(dt_k4_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9321 (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 (v1_group_1(C) & m1_group_2(C,A) -> ((all D (v1_group_1(D) & m1_group_2(D,A) -> (r1_tarski(B,u1_struct_0(D)) -> m1_group_2(C,D)))) & r1_tarski(B,u1_struct_0(C)) <-> k5_group_4(A,B) = C))))))) # label(d5_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9322 (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)) -> k3_group_4(A,k7_rlvect_1(A,B,C)) = k1_group_1(A,B,C))))))) # label(t13_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9323 (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) -> (k7_group_4(A,C,B) = k7_group_4(A,B,C) -> u1_struct_0(k8_group_4(A,B,C)) = k7_group_4(A,B,C)))))))) # label(t69_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9324 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> -v3_struct_0(k11_group_4(A)) & l3_lattices(k11_group_4(A)) & v10_lattices(k11_group_4(A)) & v3_lattices(k11_group_4(A)))) # label(dt_k11_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9325 (all A all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & v1_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_1_1_group_4(B)) <-> (exists C (m1_subset_1(C,u1_struct_0(B)) & C = A & -v1_group_4(C,B)))))) # label(fraenkel_a_1_1_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9326 (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_setfam_1(a_2_0_group_4(A,B)) = u1_struct_0(k5_group_4(A,B)))))) # label(t43_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9327 $T # label(t34_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9328 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> k4_group_2(A,B,k7_group_4(A,C,D)) = k11_group_2(A,C,k13_group_2(A,D,B)))))))))) # label(t61_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9329 (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) -> (v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> u1_struct_0(k8_group_4(A,B,C)) = k7_group_4(A,B,C)))))))) # label(t70_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9330 (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_group_2(A,k8_group_4(A,B,C),k5_group_4(A,k7_group_4(A,B,C))))))))) # label(t68_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9331 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (r1_tarski(k2_relat_1(C),k7_group_2(A,B)) -> r1_rlvect_1(B,k3_group_4(A,C))))))))) # label(t21_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9332 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_1(B) -> ((all C (m1_group_2(C,A) & v1_group_1(C) -> -v2_group_4(C,A))) -> (k6_group_4(A) = B <-> B = g1_group_1(u1_struct_0(A),u1_group_1(A)))) & ((exists C (v2_group_4(C,A) & m1_group_2(C,A) & v1_group_1(C))) -> (k1_setfam_1(a_1_0_group_4(A)) = u1_struct_0(B) <-> k6_group_4(A) = B)))))) # label(d8_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9333 $T # label(t45_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9334 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (-v3_struct_0(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all D (m2_relset_1(D,k4_finseq_1(B),k4_finseq_1(B)) & v3_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & v1_funct_2(D,k4_finseq_1(B),k4_finseq_1(B)) & v1_funct_1(D) -> (C = k5_relat_1(D,B) -> k3_group_4(A,C) = k3_group_4(A,B))))))))))) # label(t18_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9335 (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))) -> ((exists D (m2_finseq_1(D,u1_struct_0(A)) & (exists E (k3_finseq_1(D) = k3_finseq_1(E) & r1_tarski(k2_relat_1(D),C) & B = k3_group_4(A,k4_group_4(A,E,D)) & m2_finseq_1(E,k4_numbers))))) <-> r1_rlvect_1(k5_group_4(A,C),B)))))))) # label(t37_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9336 (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) = k3_group_4(B,k1_finsop_1(u1_struct_0(B),A,C)))))))) # label(t15_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9337 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> (all C (v1_int_1(C) -> (all D (-v3_struct_0(D) & l1_group_1(D) & v4_group_1(D) & v3_group_1(D) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (all F (m1_subset_1(F,u1_struct_0(D)) -> (all G (m1_subset_1(G,u1_struct_0(D)) -> k8_rlvect_1(D,k6_group_1(D,A,E),k6_group_1(D,B,F),k6_group_1(D,C,G)) = k4_group_4(D,k3_finseq_4(k4_numbers,k2_group_4(A),k2_group_4(B),k2_group_4(C)),k8_rlvect_1(D,E,F,G)))))))))))))))) # label(t30_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9338 (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) & v1_group_3(B,A) -> (all C (m1_group_2(C,A) & v1_group_3(C,A) & v1_group_1(C) -> k7_group_4(A,B,C) = k7_group_4(A,C,B))))))) # label(t64_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9339 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) -> m1_group_2(k5_group_4(A,B),k5_group_4(A,C))))))))) # label(t41_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9340 (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 (m2_finseq_1(C,k4_numbers) -> (A = k3_finseq_1(C) -> k4_group_4(B,C,k1_finsop_1(u1_struct_0(B),A,k2_group_1(B))) = k1_finsop_1(u1_struct_0(B),A,k2_group_1(B))))))))) # label(t33_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9341 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,u1_struct_0(A)) -> (v4_group_1(A) & v7_group_1(A) & l1_group_1(A) & v2_funct_1(B) & k2_relat_1(C) = k2_relat_1(B) & v2_funct_1(C) & v3_group_1(A) & -v3_struct_0(A) -> k3_group_4(A,B) = k3_group_4(A,C)))))))) # label(t19_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9342 (all A ((exists B ((exists C (u1_struct_0(C) = B & p1_s1_group_4(C) & m1_group_2(C,f1_s1_group_4) & v1_group_1(C))) & A = B & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(f1_s1_group_4))))) <-> r2_hidden(A,a_0_0_group_4))) # label(fraenkel_a_0_0_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9343 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> k9_group_4(A) = u2_lattices(k11_group_4(A)))) # label(t93_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9344 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> u1_lattices(k11_group_4(A)) = k10_group_4(A))) # label(t94_group_4) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9345 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (D = C -> r1_tarski(k1_connsp_1(B,D),k1_connsp_1(A,C))))))))))) # label(t14_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9346 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> m1_subset_1(k1_connsp_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k1_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9347 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (v1_connsp_2(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_connsp_2(A,B)))))) # label(d4_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9348 $T # label(t1_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9349 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (m1_connsp_2(C,A,B) <-> m2_connsp_2(C,A,k1_struct_0(A,B))))))))) # label(t10_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9350 (all A all B (v2_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) & -v3_struct_0(A) -> (exists C m1_connsp_2(C,A,B)))) # label(existence_m1_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9351 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (v3_pre_topc(B,A) & r2_hidden(C,B) -> m1_connsp_2(B,A,C)))))))) # label(t5_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9352 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (v1_connsp_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r3_connsp_1(A,B) -> v3_pre_topc(B,A))))))) # label(t21_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9353 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(C,A) & r2_hidden(B,C) & (all D (m1_subset_1(D,u1_struct_0(k3_pre_topc(A,C))) -> -(D = B & r2_hidden(B,k1_tops_1(k3_pre_topc(A,C),k1_connsp_1(k3_pre_topc(A,C),D))))))))) <-> r1_connsp_2(A,B)))))) # label(t20_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9354 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (m1_connsp_2(C,A,B) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(D,A) & r1_tarski(D,C) & r2_hidden(B,D)))))))))) # label(t8_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9355 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_tarski(k1_connsp_1(A,B),k1_connsp_2(A,B)))))) # label(t33_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9356 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (m2_connsp_2(C,A,B) <-> r1_tarski(B,k1_tops_1(A,C))))))))) # label(d2_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9357 (all A all B (v2_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> (exists C m2_connsp_2(C,A,B)))) # label(existence_m2_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9358 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (v1_connsp_2(k3_pre_topc(A,B)) <-> v2_connsp_2(B,A)))))) # label(d6_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9359 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_pre_topc(A) -> (all C (m2_connsp_2(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9360 $T # label(t16_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9361 $T # label(t29_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9362 $T # label(t17_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9363 $T # label(t15_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9364 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_connsp_2(A,B,C) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> -(D = B & (all E (m1_subset_1(E,u1_struct_0(k3_pre_topc(A,D))) -> -(r1_connsp_2(k3_pre_topc(A,D),E) & E = C))))))))))))) # label(d5_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9365 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) & v4_pre_topc(C,A) & r2_hidden(B,C) & r1_tarski(C,k1_connsp_2(A,B)) -> k1_connsp_2(A,B) = C))))))) # label(t31_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9366 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> -(r2_hidden(C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(D,B) & m1_connsp_2(D,A,C))))))) <-> v3_pre_topc(B,A)))))) # label(t9_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9367 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,u1_struct_0(k3_pre_topc(A,B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,B)))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> (F = C & E = D & m1_connsp_2(E,A,F) -> m1_connsp_2(D,k3_pre_topc(A,B),C)))))))))))))) # label(t12_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9368 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (k1_connsp_2(A,B) = C <-> (exists D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) & C = k6_setfam_1(u1_struct_0(A),D) & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,E) & v4_pre_topc(E,A) & v3_pre_topc(E,A) <-> r2_hidden(E,D))))))))))))) # label(d7_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9369 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (m1_connsp_2(C,A,B) & m1_connsp_2(D,A,B) -> m1_connsp_2(k4_subset_1(u1_struct_0(A),C,D),A,B)))))))))) # label(t3_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9370 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r2_hidden(B,k1_connsp_2(A,B)))))) # label(t30_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9371 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(B,C) & v4_pre_topc(B,A) & v3_pre_topc(C,A) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(B,D) & r1_tarski(k6_pre_topc(A,D),C) & v3_pre_topc(D,A)))) & k2_pre_topc(A) != C & k1_xboole_0 != B))))) <-> v5_compts_1(A)))) # label(t26_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9372 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(m1_connsp_2(C,A,B) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> -(v3_pre_topc(D,A) & r1_tarski(D,C) & m1_connsp_2(D,A,B))))))))))) # label(t7_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9373 $T # label(t2_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9374 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (m1_connsp_2(D,A,B) & m1_connsp_2(C,A,B) <-> m1_connsp_2(k5_subset_1(u1_struct_0(A),C,D),A,B)))))))))) # label(t4_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9375 (all A all B (v2_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) & -v3_struct_0(A) -> (all C (m1_connsp_2(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m1_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9376 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (v5_compts_1(A) & v1_connsp_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(C != k1_xboole_0 & v4_pre_topc(C,A) & r1_xboole_0(B,C) & v2_connsp_1(B,A) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v2_connsp_1(E,A) & v3_pre_topc(D,A) & v3_pre_topc(E,A) & r1_tarski(B,D) & r1_tarski(C,E) & r1_xboole_0(D,E) & v2_connsp_1(D,A)))))) & v2_connsp_1(C,A) & v4_pre_topc(B,A) & B != k1_xboole_0)))))))) # label(t27_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9377 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(k1_xboole_0 = C & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,D) & v4_pre_topc(D,A) & v3_pre_topc(D,A) <-> r2_hidden(D,C))))))))))) # label(t28_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9378 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (r1_connsp_2(A,B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (v3_pre_topc(C,A) & r2_hidden(B,C) -> r2_connsp_2(A,C,B))))))))) # label(t22_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9379 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (v1_connsp_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,B)))) -> -(v2_connsp_1(C,k3_pre_topc(A,B)) & v3_pre_topc(C,k3_pre_topc(A,B)) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & k5_subset_1(u1_struct_0(A),B,D) = C & v2_connsp_1(D,A)))))))))))) # label(t25_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9380 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v4_pre_topc(k1_connsp_2(A,B),A))))) # label(t32_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9381 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (m1_connsp_2(B,A,C) -> r2_hidden(C,B)))))))) # label(t6_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9382 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (v1_connsp_2(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> v2_connsp_2(B,A))))))) # label(t23_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9383 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r4_connsp_1(A,C,D) & r2_hidden(B,D) & m1_connsp_2(C,A,B) -> m1_connsp_2(D,A,B)))))) <-> r1_connsp_2(A,B)))))) # label(t19_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9384 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(D,C) & v2_connsp_1(D,A) & m1_connsp_2(D,A,B)))) & m1_connsp_2(C,A,B)))) <-> r1_connsp_2(A,B)))))) # label(d3_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9385 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(k3_pre_topc(A,B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,B)))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> (v3_pre_topc(B,A) & m1_connsp_2(D,k3_pre_topc(A,B),C) & C = F & D = E -> m1_connsp_2(E,A,F)))))))))))))) # label(t11_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9386 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,k1_tops_1(A,C)) <-> m1_connsp_2(C,A,B)))))))) # label(d1_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9387 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> ((all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r4_connsp_1(A,B,C) & v3_pre_topc(B,A) -> v3_pre_topc(C,A)))))) <-> v1_connsp_2(A)))) # label(t24_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9388 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) & r3_connsp_1(A,B) -> r4_connsp_1(A,C,B)))))))) # label(t13_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9389 $T # label(t18_connsp_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9390 (all A (-v3_struct_0(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k5_rlvect_1(B,k6_vectsp_2(A,B,C,D)) = k6_vectsp_2(A,B,k5_rlvect_1(A,C),D) & k6_rlvect_1(B,E,k6_vectsp_2(A,B,C,D)) = k2_rlvect_1(B,E,k6_vectsp_2(A,B,k5_rlvect_1(A,C),D)))))))))))) # label(t38_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9391 $T # label(t7_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9392 $T # label(t9_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9393 $T # label(t32_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9394 $T # label(t28_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9395 (all A (v3_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v4_group_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 (-v3_struct_0(C) & v5_rlvect_1(C) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A) & v6_rlvect_1(C) & v4_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (k1_rlvect_1(A) != B -> D = k6_vectsp_2(A,C,k1_vectsp_2(A,B),k6_vectsp_2(A,C,B,D))))))))))) # label(t43_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9396 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_rlvect_1(A,B) = k1_group_1(A,B,k5_rlvect_1(A,k2_group_1(A))))))) # label(t13_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9397 $T # label(t34_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9398 $T # label(t5_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9399 $T # label(t6_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9400 $T # label(t20_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9401 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v9_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v3_struct_0(C) & v4_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A) & v5_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_2(A,C,B,D)))))))))) # label(t42_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9402 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v9_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v4_rlvect_1(C) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (D = k1_rlvect_1(C) | B = k1_rlvect_1(A) <-> k1_rlvect_1(C) = k6_vectsp_1(A,C,B,D)))))))))) # label(t25_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9403 $T # label(t1_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9404 $T # label(t10_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9405 $T # label(t30_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9406 $T # label(t19_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9407 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k6_vectsp_2(A,B,C,k6_rlvect_1(B,D,E)) = k6_rlvect_1(B,k6_vectsp_2(A,B,C,D),k6_vectsp_2(A,B,C,E)))))))))))) # label(t40_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9408 $T # label(t2_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9409 $T # label(t33_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9410 $T # label(t11_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9411 $T # label(t29_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9412 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v5_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_1(A,k5_rlvect_1(A,k2_group_1(A)),B) = k5_rlvect_1(A,B))))) # label(t14_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9413 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & -v3_struct_0(A) -> (all B (l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k5_rlvect_1(B,k6_vectsp_2(A,B,C,D)) = k6_vectsp_2(A,B,C,k5_rlvect_1(B,D)))))))))) # label(t39_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9414 $T # label(t3_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9415 $T # label(t27_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9416 $T # label(t23_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9417 $T # label(t12_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9418 (all A (v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k5_rlvect_1(B,D) = k6_vectsp_2(A,B,k5_rlvect_1(A,k2_group_1(A)),D) & k6_vectsp_2(A,B,C,k1_rlvect_1(B)) = k1_rlvect_1(B) & k6_vectsp_2(A,B,k1_rlvect_1(A),D) = k1_rlvect_1(B))))))))) # label(t37_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9419 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v9_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v5_rlvect_1(C) & v6_rlvect_1(C) & v12_vectsp_1(C,A) & l4_vectsp_1(C,A) & v4_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (k1_rlvect_1(A) != B -> k6_vectsp_1(A,C,k1_vectsp_2(A,B),k6_vectsp_1(A,C,B,D)) = D))))))))) # label(t26_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9420 $T # label(t8_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9421 $T # label(t24_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9422 $T # label(t35_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9423 $T # label(t16_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9424 $T # label(t22_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9425 $T # label(t36_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9426 $T # label(t18_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9427 $T # label(t41_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9428 $T # label(t4_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9429 $T # label(t15_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9430 $T # label(t31_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9431 $T # label(t21_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9432 $T # label(t17_mod_1) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9433 $T # label(t14_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9434 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m2_rmod_2(D,A,B,C) -> (u1_struct_0(C) = D <-> v1_rmod_2(D,A,B)))))))))) # label(t82_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9435 (all A all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v5_rlvect_1(C) & v5_vectsp_2(C,B) & l1_vectsp_2(C,B) & v6_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_rmod_2(E,B,C) -> ((exists F (m1_subset_1(F,u1_struct_0(C)) & r1_rlvect_1(E,F) & k4_rlvect_1(C,D,F) = A)) <-> r2_hidden(A,k3_rmod_2(B,C,D,E))))))))))) # label(t57_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9436 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(D)) -> (C = E -> k5_rlvect_1(D,E) = k5_rlvect_1(B,C)))))))))))) # label(t23_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9437 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (all F (m2_rmod_2(F,A,B,E) -> -(r2_hidden(C,F) & r2_hidden(D,F) & (all G (m1_subset_1(G,u1_struct_0(B)) -> -(r1_rlvect_1(E,G) & k4_rlvect_1(B,C,G) = D)))))))))))))))) # label(t91_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9438 $T # label(t55_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.88 9439 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> k1_rlvect_1(C) = k1_rlvect_1(B))))))) # label(t19_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9440 $T # label(t1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9441 $T # label(t52_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9442 (all 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) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (r1_rlvect_1(D,C) <-> r2_hidden(k1_rlvect_1(B),k3_rmod_2(A,B,C,D))))))))))) # label(t58_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9443 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (all E (m2_rmod_2(E,A,B,D) -> (r2_hidden(C,E) <-> E = k3_rmod_2(A,B,C,D)))))))))))) # label(t90_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9444 (all A all B (-v3_struct_0(B) & v6_rlvect_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (v3_rlvect_1(C) & v4_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,B) & v5_vectsp_2(C,B) & v5_rlvect_1(C) & -v3_struct_0(C) -> (r1_rlvect_1(k1_rmod_2(B,C),A) <-> A = k1_rlvect_1(C)))))) # label(t46_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9445 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> m1_rmod_2(k1_rmod_2(A,B),A,C))))))) # label(t50_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9446 (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_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k3_rmod_2(A,B,C,k1_rmod_2(A,B)) = k6_domain_1(u1_struct_0(B),C))))))) # label(t61_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9447 (all A all B (v4_group_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v6_vectsp_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & l1_vectsp_2(C,B) & v5_vectsp_2(C,B) & v6_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_rmod_2(D,B,C) -> (all E (m1_rmod_2(E,B,C) -> (r1_rlvect_1(D,A) & m1_rmod_2(D,B,E) -> r1_rlvect_1(E,A)))))))))) # label(t16_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9448 (all A (v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (v5_rlvect_1(D) & v5_vectsp_2(D,A) & l1_vectsp_2(D,A) & v6_rlvect_1(D) & v4_rlvect_1(D) & v3_rlvect_1(D) & -v3_struct_0(D) -> (m1_rmod_2(B,A,C) & m1_rmod_2(C,A,D) -> m1_rmod_2(B,A,D)))))))))) # label(t34_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9449 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (r2_hidden(k1_rlvect_1(B),k3_rmod_2(A,B,C,D)) <-> u1_struct_0(D) = k3_rmod_2(A,B,C,D)))))))))) # label(t63_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9450 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) & v3_vectsp_2(E,A) -> (k3_rmod_2(A,B,C,E) = k3_rmod_2(A,B,C,D) <-> E = D))))))))))) # label(t79_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9451 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> k1_rlvect_1(C) = k1_rlvect_1(D))))))))) # label(t20_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9452 (all A (v3_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (all F (m1_subset_1(F,u1_struct_0(E)) -> (all G (m1_subset_1(G,u1_struct_0(E)) -> (G = D & C = F -> k6_rlvect_1(E,F,G) = k6_rlvect_1(B,C,D)))))))))))))))) # label(t24_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9453 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r1_rlvect_1(E,C) & r1_rlvect_1(E,D) -> r1_rlvect_1(E,k4_rlvect_1(B,C,D))))))))))))) # label(t28_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9454 (all A (v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) -> (r1_tarski(u1_struct_0(C),u1_struct_0(B)) & u2_struct_0(B) = u2_struct_0(C) & u1_vectsp_2(A,C) = k7_relat_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(A))) & k7_relat_1(u1_rlvect_1(B),k2_zfmisc_1(u1_struct_0(C),u1_struct_0(C))) = u1_rlvect_1(C) <-> m1_rmod_2(C,A,B)))))))) # label(d2_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9455 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (C = u1_struct_0(B) -> v1_rmod_2(C,A,B)))))))) # label(t8_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9456 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> ((all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(C,E) <-> r1_rlvect_1(D,E)))) -> D = C))))))))) # label(t38_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9457 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> -(k1_xboole_0 != C & v1_rmod_2(C,A,B) & (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> u1_struct_0(D) != C))))))))) # label(t42_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9458 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) -> m1_rmod_2(B,A,B))))) # label(t32_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9459 $T # label(t12_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9460 $T # label(t2_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9461 $T # label(t44_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9462 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r1_rlvect_1(E,C) & r1_rlvect_1(E,D) -> r1_rlvect_1(E,k6_rlvect_1(B,C,D))))))))))))) # label(t31_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9463 $T # label(t56_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9464 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_2(C,A,B) & v4_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all D (m2_rmod_2(D,A,B,C) -> m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))))) # label(dt_m2_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9465 (all A (v4_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> m1_rmod_2(k1_rmod_2(A,C),A,B))))))) # label(t49_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9466 (all A all B (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_rlvect_1(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & -v3_struct_0(A) -> (all C (m1_rmod_2(C,A,B) -> v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A) & v6_rlvect_1(C) & -v3_struct_0(C))))) # label(dt_m1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9467 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> k1_rmod_2(A,C) = k1_rmod_2(A,B))))))) # label(t47_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9468 $T # label(t54_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9469 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (u1_struct_0(C) = u1_struct_0(D) -> C = D))))))))) # label(t37_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9470 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> -(k3_rmod_2(A,B,C,E) = k3_rmod_2(A,B,D,E) & (all F (m1_subset_1(F,u1_struct_0(B)) -> -(r1_rlvect_1(E,F) & k6_rlvect_1(B,C,F) = D)))))))))))))) # label(t78_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9471 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> r2_hidden(C,k3_rmod_2(A,B,C,D)))))))))) # label(t59_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9472 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> ((exists F (k6_rlvect_1(B,D,F) = C & r1_rlvect_1(E,F) & m1_subset_1(F,u1_struct_0(B)))) <-> r2_hidden(C,k3_rmod_2(A,B,D,E))))))))))))) # label(t75_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9473 (all A (v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> (u1_struct_0(C) = k6_domain_1(u1_struct_0(B),k1_rlvect_1(B)) <-> C = k1_rmod_2(A,B)))))))) # label(d3_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9474 (all A all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v6_vectsp_1(B) & v4_group_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (v4_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,B) & l1_vectsp_2(C,B) & v5_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_rmod_2(D,B,C) -> (r1_rlvect_1(D,A) -> r1_rlvect_1(C,A)))))))) # label(t17_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9475 (all A (v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> r1_rlvect_1(B,k1_rlvect_1(C)))))))) # label(t27_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9476 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = k2_rmod_2(A,B))))) # label(d4_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9477 $T # label(t3_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9478 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> r1_rlvect_1(C,k1_rlvect_1(B)))))))) # label(t25_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9479 (all A (l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> -((all F (m1_subset_1(F,u1_struct_0(B)) -> -(r1_rlvect_1(E,F) & D = k4_rlvect_1(B,C,F)))) & k3_rmod_2(A,B,D,E) = k3_rmod_2(A,B,C,E)))))))))))) # label(t77_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9480 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r1_rlvect_1(E,C) <-> k3_rmod_2(A,B,k6_rlvect_1(B,D,C),E) = k3_rmod_2(A,B,D,E)))))))))))) # label(t67_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9481 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (all E (m2_rmod_2(E,A,B,D) -> (all F (m2_rmod_2(F,A,B,D) -> (r2_hidden(C,F) & r2_hidden(C,E) -> E = F))))))))))))) # label(t94_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9482 (all A (v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) & v3_vectsp_2(E,A) -> (all F (v3_vectsp_2(F,A) & m1_rmod_2(F,A,B) -> (k3_rmod_2(A,B,D,F) = k3_rmod_2(A,B,C,E) -> F = E))))))))))))) # label(t80_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9483 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> m1_rmod_2(B,A,k2_rmod_2(A,B)))))) # label(t53_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9484 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> m1_subset_1(D,u1_struct_0(B)))))))))) # label(t18_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9485 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r1_rlvect_1(E,k6_rlvect_1(B,C,D)) <-> (exists F (r2_hidden(D,F) & r2_hidden(C,F) & m2_rmod_2(F,A,B,E)))))))))))))) # label(t93_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9486 $T # label(t74_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9487 (all A all B all C all D (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_2(D,A,B) & m1_subset_1(C,u1_struct_0(B)) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> m1_subset_1(k3_rmod_2(A,B,C,D),k1_zfmisc_1(u1_struct_0(B))))) # label(dt_k3_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9488 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> u1_struct_0(C) = k3_rmod_2(A,B,k1_rlvect_1(B),C))))))) # label(t60_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9489 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_rmod_2(E,A,C) -> (r1_rlvect_1(E,D) -> r1_rlvect_1(E,k6_vectsp_2(A,C,B,D))))))))))))) # label(t29_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9490 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (r1_tarski(u1_struct_0(C),u1_struct_0(D)) -> m1_rmod_2(C,A,D)))))))))) # label(t35_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9491 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> r1_rlvect_1(D,k1_rlvect_1(C)))))))))) # label(t26_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9492 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v3_vectsp_2(B,A) & v3_rlvect_1(B) -> (all C (v3_rlvect_1(C) & v4_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v3_vectsp_2(C,A) & v5_rlvect_1(C) & -v3_struct_0(C) -> (m1_rmod_2(B,A,C) & m1_rmod_2(C,A,B) -> B = C))))))) # label(t33_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9493 (all A all B (v4_rlvect_1(A) & v4_group_1(A) & -v3_struct_0(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists C m1_rmod_2(C,A,B)))) # label(existence_m1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9494 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) -> r2_hidden(k6_vectsp_2(A,B,D,E),C)))))) & (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(E,C) & r2_hidden(D,C) -> r2_hidden(k4_rlvect_1(B,D,E),C)))))) <-> v1_rmod_2(C,A,B)))))))) # label(d1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9495 (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) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v1_rmod_2(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (r2_hidden(D,C) -> r2_hidden(k5_rlvect_1(B,D),C))))))))))) # label(t5_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9496 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (k3_rmod_2(A,B,C,D) = u1_struct_0(D) <-> r1_rlvect_1(D,C)))))))))) # label(t64_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9497 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r1_rlvect_1(E,C) <-> k3_rmod_2(A,B,D,E) = k3_rmod_2(A,B,k4_rlvect_1(B,D,C),E)))))))))))) # label(t66_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9498 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_2(D,A,B) -> (u1_struct_0(D) = C -> v1_rmod_2(C,A,B)))))))))) # label(t41_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9499 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_vectsp_2(B,A) & v5_rlvect_1(B) -> (all C (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> ((all D (m1_subset_1(D,u1_struct_0(B)) -> r1_rlvect_1(C,D))) -> B = C))))))) # label(t40_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.89 9500 (all A (v4_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_rmod_2(F,A,B) -> (r2_hidden(C,k3_rmod_2(A,B,E,F)) & r2_hidden(C,k3_rmod_2(A,B,D,F)) -> k3_rmod_2(A,B,D,F) = k3_rmod_2(A,B,E,F)))))))))))))) # label(t69_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9501 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (all E (m2_rmod_2(E,A,B,C) -> (all F (m2_rmod_2(F,A,B,D) -> (F = E -> C = D))))))))))))) # label(t83_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9502 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v6_rlvect_1(C) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A) & v5_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_rmod_2(E,A,C) -> (r1_rlvect_1(E,D) -> r2_hidden(k6_vectsp_2(A,C,B,D),k3_rmod_2(A,C,D,E))))))))))))) # label(t70_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9503 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (all F (m1_subset_1(F,u1_struct_0(E)) -> (all G (m1_subset_1(G,u1_struct_0(E)) -> (C = F & G = D -> k4_rlvect_1(E,F,G) = k4_rlvect_1(B,C,D)))))))))))))))) # label(t21_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9504 $T # label(t13_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9505 (all A all B (v3_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> v3_vectsp_2(k1_rmod_2(A,B),A) & m1_rmod_2(k1_rmod_2(A,B),A,B))) # label(dt_k1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9506 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v1_rmod_2(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r2_hidden(D,C) & r2_hidden(E,C) -> r2_hidden(k6_rlvect_1(B,D,E),C))))))))))))) # label(t6_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9507 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v3_rlvect_1(C) & v5_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v6_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_rmod_2(E,A,C) -> (r1_rlvect_1(E,D) -> u1_struct_0(E) = k3_rmod_2(A,C,k6_vectsp_2(A,C,B,D),E)))))))))))) # label(t65_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9508 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v1_rmod_2(D,A,B) & v1_rmod_2(C,A,B) -> v1_rmod_2(k5_subset_1(u1_struct_0(B),C,D),A,B)))))))))) # label(t10_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9509 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> k1_rmod_2(A,D) = k1_rmod_2(A,C))))))))) # label(t48_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9510 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (m2_rmod_2(D,A,B,C) <-> (exists E (D = k3_rmod_2(A,B,E,C) & m1_subset_1(E,u1_struct_0(B))))))))))))) # label(d6_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9511 (all A (-v3_struct_0(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r2_hidden(k6_rlvect_1(B,C,D),k3_rmod_2(A,B,C,E)) <-> r1_rlvect_1(E,D)))))))))))) # label(t73_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9512 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> m2_rmod_2(u1_struct_0(C),A,B,C))))))) # label(t86_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9513 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) -> (all B (v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v1_rmod_2(C,A,B) -> k1_xboole_0 = C | r2_hidden(k1_rlvect_1(B),C)))))))) # label(t4_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9514 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & v5_rlvect_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (all E (m1_rmod_2(E,A,C) -> (all F (m1_subset_1(F,u1_struct_0(E)) -> (F = D -> k6_vectsp_2(A,C,B,D) = k6_vectsp_2(A,E,B,F)))))))))))))) # label(t22_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9515 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (r1_rlvect_1(D,C) -> r2_hidden(k5_rlvect_1(B,C),k3_rmod_2(A,B,C,D))))))))))) # label(t71_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9516 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_vectsp_2(B,A) & v5_rlvect_1(B) -> (all C (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> (u1_struct_0(B) = u1_struct_0(C) -> C = B))))))) # label(t39_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9517 $T # label(t45_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9518 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) -> (all B (v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m2_rmod_2(D,A,B,C) -> (D = u1_struct_0(C) <-> r2_hidden(k1_rlvect_1(B),D)))))))))) # label(t89_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9519 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r2_hidden(k4_rlvect_1(B,C,D),k3_rmod_2(A,B,D,E)) <-> r1_rlvect_1(E,C)))))))))))) # label(t72_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9520 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> v1_rmod_2(k6_domain_1(u1_struct_0(B),k1_rlvect_1(B)),A,B))))) # label(t7_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9521 (all A all B all C all D all E (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v6_vectsp_1(B) & v8_vectsp_1(B) & v5_rlvect_1(C) & l1_vectsp_2(C,B) & m1_subset_1(D,u1_struct_0(C)) & m1_rmod_2(E,B,C) & v5_vectsp_2(C,B) & v6_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) & l3_vectsp_1(B) & v7_vectsp_1(B) & v4_group_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (r2_hidden(A,a_4_1_rmod_2(B,C,D,E)) <-> (exists F (m1_subset_1(F,u1_struct_0(C)) & A = k4_rlvect_1(C,D,F) & r1_rlvect_1(E,F)))))) # label(fraenkel_a_4_1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9522 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (v1_rmod_2(C,A,B) & v1_rmod_2(D,A,B) & a_4_0_rmod_2(A,B,C,D) = E -> v1_rmod_2(E,A,B)))))))))))) # label(t9_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9523 $T # label(t43_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9524 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r1_rlvect_1(E,k6_rlvect_1(B,C,D)) <-> (exists F (r2_hidden(C,k3_rmod_2(A,B,F,E)) & r2_hidden(D,k3_rmod_2(A,B,F,E)) & m1_subset_1(F,u1_struct_0(B))))))))))))))) # label(t76_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9525 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (r2_hidden(C,k3_rmod_2(A,B,D,E)) <-> k3_rmod_2(A,B,C,E) = k3_rmod_2(A,B,D,E)))))))))))) # label(t68_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9526 (all A (v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> u1_struct_0(B) = k3_rmod_2(A,B,C,k2_rmod_2(A,B)))))))) # label(t62_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9527 $T # label(t11_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9528 $T # label(t15_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9529 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m2_rmod_2(k6_domain_1(u1_struct_0(B),C),A,B,k1_rmod_2(A,B)))))))) # label(t84_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9530 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> m1_rmod_2(k1_rmod_2(A,C),A,D))))))))) # label(t51_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9531 (all A all B (v6_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists C (m1_rmod_2(C,A,B) & -v3_struct_0(C) & v3_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,A) & v3_vectsp_2(C,A) & v5_rlvect_1(C) & v4_rlvect_1(C))))) # label(rc1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9532 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (r1_rlvect_1(D,C) -> r1_rlvect_1(D,k5_rlvect_1(B,C))))))))))) # label(t30_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9533 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> m2_rmod_2(u1_struct_0(B),A,B,k2_rmod_2(A,B)))))) # label(t87_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9534 (all A all B all C (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v5_rlvect_1(B) & m1_rmod_2(C,A,B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (exists D m2_rmod_2(D,A,B,C)))) # label(existence_m2_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9535 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (exists E (m2_rmod_2(E,A,B,D) & r2_hidden(C,E))))))))))) # label(t81_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9536 (all A (v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> k3_rmod_2(A,B,C,D) = a_4_1_rmod_2(A,B,C,D))))))))) # label(d5_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9537 (all A all B (-v3_struct_0(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> v3_vectsp_2(k2_rmod_2(A,B),A) & m1_rmod_2(k2_rmod_2(A,B),A,B))) # label(dt_k2_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9538 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> ((all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(C,E) -> r1_rlvect_1(D,E)))) -> m1_rmod_2(C,A,D)))))))))) # label(t36_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9539 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (m2_rmod_2(C,A,B,k2_rmod_2(A,B)) -> C = u1_struct_0(B)))))))) # label(t88_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9540 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_2(E,A,B) -> (all F (m2_rmod_2(F,A,B,E) -> -(r2_hidden(C,F) & (all G (m1_subset_1(G,u1_struct_0(B)) -> -(D = k6_rlvect_1(B,C,G) & r1_rlvect_1(E,G)))) & r2_hidden(D,F)))))))))))))) # label(t92_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9541 (all A all B all C all D all E (v4_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & v8_vectsp_1(B) & -v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & l1_vectsp_2(C,B) & v5_vectsp_2(C,B) & v6_rlvect_1(C) & l3_vectsp_1(B) & v7_vectsp_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> ((exists F exists G (A = k4_rlvect_1(C,F,G) & r2_hidden(G,E) & r2_hidden(F,D) & m1_subset_1(G,u1_struct_0(C)) & m1_subset_1(F,u1_struct_0(C)))) <-> r2_hidden(A,a_4_0_rmod_2(B,C,D,E))))) # label(fraenkel_a_4_0_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9542 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> -((all D (m1_subset_1(D,u1_struct_0(B)) -> C != k6_domain_1(u1_struct_0(B),D))) & m2_rmod_2(C,A,B,k1_rmod_2(A,B))))))))) # label(t85_rmod_2) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9543 $T # label(t4_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9544 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_vectsp_2(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> r1_rmod_3(A,B,k2_rmod_2(A,B),k1_rmod_2(A,B)) & r1_rmod_3(A,B,k1_rmod_2(A,B),k2_rmod_2(A,B)))))) # label(t47_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9545 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (k1_rmod_3(A,B,C,D) = B <-> (all E (m1_subset_1(E,u1_struct_0(B)) -> (exists F (m1_subset_1(F,u1_struct_0(B)) & (exists G (m1_subset_1(G,u1_struct_0(B)) & E = k4_rlvect_1(B,F,G) & r1_rlvect_1(D,G) & r1_rlvect_1(C,F)))))))))))))))) # label(t50_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9546 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> ((all E (m2_rmod_2(E,A,B,C) -> (all F (m2_rmod_2(F,A,B,D) -> (exists G (k5_subset_1(u1_struct_0(B),E,F) = k6_domain_1(u1_struct_0(B),G) & m1_subset_1(G,u1_struct_0(B)))))))) <-> r1_rmod_3(A,B,C,D)))))))))) # label(t49_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9547 $T # label(t1_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9548 $T # label(t53_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9549 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (v3_vectsp_2(E,A) & m1_rmod_2(E,A,B) -> (m1_rmod_2(E,A,C) -> k1_rmod_3(A,B,E,k2_rmod_3(A,B,D,C)) = k2_rmod_3(A,B,k1_rmod_3(A,B,E,D),C)))))))))))) # label(t36_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9550 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> D = k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),D))))))))) # label(t30_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9551 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) & v3_vectsp_2(E,A) -> (k3_xboole_0(u1_struct_0(C),u1_struct_0(D)) = u1_struct_0(E) <-> k2_rmod_3(A,B,C,D) = E))))))))))) # label(d2_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9552 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> k2_rmod_3(A,B,C,D) = k2_rmod_3(A,B,D,C))))))))) # label(t18_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9553 (all A all B (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> v1_funct_1(k6_rmod_3(A,B)) & m2_relset_1(k6_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & v1_funct_2(k6_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)))) # label(dt_k6_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9554 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v13_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & -v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))))))) # label(t64_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9555 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> m1_rmod_2(k2_rmod_3(A,B,C,D),A,k1_rmod_3(A,B,C,D)))))))))) # label(t29_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9556 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (r1_rlvect_1(k1_rmod_3(A,B,C,D),E) <-> (exists F (m1_subset_1(F,u1_struct_0(B)) & (exists G (m1_subset_1(G,u1_struct_0(B)) & r1_rlvect_1(C,F) & k4_rlvect_1(B,F,G) = E & r1_rlvect_1(D,G))))))))))))))) # label(t5_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9557 (all A (v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (all E (v3_vectsp_2(E,A) & m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) -> m1_rmod_2(k1_rmod_3(A,B,C,E),A,k1_rmod_3(A,B,D,E))))))))))))) # label(t38_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9558 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & -v3_struct_0(B) -> l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v12_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & -v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))))))) # label(t67_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9559 (all A all B all C all D (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_2(C,A,B) & m1_rmod_2(D,A,B) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> v3_vectsp_2(k1_rmod_3(A,B,C,D),A) & m1_rmod_2(k1_rmod_3(A,B,C,D),A,B))) # label(dt_k1_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9560 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> -v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v15_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))))))) # label(t66_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9561 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (all G (m1_subset_1(G,u1_struct_0(B)) -> (all H (m1_subset_1(H,u1_struct_0(B)) -> (all I (m1_subset_1(I,u1_struct_0(B)) -> (r1_rlvect_1(D,I) & r1_rlvect_1(D,G) & r1_rlvect_1(C,H) & r1_rlvect_1(C,F) & k4_rlvect_1(B,H,I) = E & k4_rlvect_1(B,F,G) = E & r1_rmod_3(A,B,C,D) -> H = F & I = G))))))))))))))))))) # label(t51_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9562 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) -> m1_rmod_2(C,A,k1_rmod_3(A,B,D,E))))))))))))) # label(t39_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9563 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (B = k1_rmod_3(A,B,C,D) -> r1_rmod_3(A,B,C,D) | (all E (m1_subset_1(E,u1_struct_0(B)) -> (exists F ((exists G ((exists H (m1_subset_1(H,u1_struct_0(B)) & (exists I (m1_subset_1(I,u1_struct_0(B)) & k4_rlvect_1(B,H,I) = E & r1_rlvect_1(D,G) & r1_rlvect_1(D,I) & -(G = I & H = F) & r1_rlvect_1(C,H) & r1_rlvect_1(C,F) & E = k4_rlvect_1(B,F,G))))) & m1_subset_1(G,u1_struct_0(B)))) & m1_subset_1(F,u1_struct_0(B))))))))))))))) # label(t52_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9564 $T # label(t3_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9565 $T # label(t62_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.90 9566 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v3_vectsp_2(B,A) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> B = k1_rmod_3(A,B,k2_rmod_2(A,B),k1_rmod_2(A,B)) & B = k1_rmod_3(A,B,k1_rmod_2(A,B),k2_rmod_2(A,B)))))) # label(t14_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.91 9567 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rmod_3(A,B,C,D) -> k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,D,C)) = k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,C,D))))))))))))) # label(t57_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.91 9568 $T # label(t55_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.91 9569 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) -> k1_rmod_3(A,B,D,k2_rmod_3(A,B,C,E)) = k2_rmod_3(A,B,k1_rmod_3(A,B,C,D),k1_rmod_3(A,B,D,E))))))))))))) # label(t35_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.91 9570 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v3_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> B = k1_rmod_3(A,B,k2_rmod_2(A,B),k2_rmod_2(A,B)))))) # label(t16_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.91 9571 (all A all B (v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> -v1_xboole_0(k3_rmod_3(A,B)))) # label(fc1_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.91 9572 $T # label(t43_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.91 9573 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> C = k1_rmod_3(A,B,C,C))))))) # label(t8_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.91 9574 $T # label(t59_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.91 9575 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> m1_rmod_2(D,A,k1_rmod_3(A,B,C,D)) & m1_rmod_2(C,A,k1_rmod_3(A,B,C,D)))))))))) # label(t11_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.44/187.91 9576 (all A all B all C all D all E (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_2(E,A,B) & m1_rmod_2(D,A,B) & m1_subset_1(C,u1_struct_0(B)) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> m1_subset_1(k4_rmod_3(A,B,C,D,E),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))))) # label(dt_k4_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9577 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> k2_rmod_3(A,B,C,k1_rmod_2(A,B)) = k1_rmod_2(A,B) & k1_rmod_2(A,B) = k2_rmod_3(A,B,k1_rmod_2(A,B),C))))))) # label(t25_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9578 (all A (v4_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (r1_rlvect_1(k2_rmod_3(A,B,C,D),E) <-> r1_rlvect_1(C,E) & r1_rlvect_1(D,E))))))))))) # label(t7_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9579 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> -v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))))))) # label(t63_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9580 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> k1_rmod_3(A,B,C,D) = k1_rmod_3(A,B,D,C))))))))) # label(t9_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9581 (all A (v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> k1_rmod_3(A,B,C,k2_rmod_2(A,B)) = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) & k1_rmod_3(A,B,k2_rmod_2(A,B),C) = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)))))))) # label(t15_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9582 $T # label(t56_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9583 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> k1_rmod_3(A,B,k1_rmod_3(A,B,C,D),E) = k1_rmod_3(A,B,C,k1_rmod_3(A,B,D,E)))))))))))) # label(t10_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9584 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (C = k3_rmod_3(A,B) <-> (all D ((exists E (v3_vectsp_2(E,A) & E = D & m1_rmod_2(E,A,B))) <-> r2_hidden(D,C))))))))) # label(d3_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9585 $T # label(dt_k3_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9586 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> v10_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & v14_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & l3_lattices(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))) & -v3_struct_0(g3_lattices(k3_rmod_3(A,B),k5_rmod_3(A,B),k6_rmod_3(A,B))))))) # label(t65_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9587 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> (m1_rmod_2(C,A,D) <-> D = k1_rmod_3(A,B,C,D)))))))))) # label(t12_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9588 (all A (-v3_struct_0(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> m1_rmod_2(k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),k2_rmod_3(A,B,D,E)),A,k2_rmod_3(A,B,D,k1_rmod_3(A,B,C,E))))))))))))) # label(t32_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9589 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) -> k1_rmod_3(A,B,k2_rmod_3(A,B,C,D),k2_rmod_3(A,B,D,E)) = k2_rmod_3(A,B,D,k1_rmod_3(A,B,C,E))))))))))))) # label(t33_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9590 (all A (v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> D = k2_rmod_3(A,B,D,k1_rmod_3(A,B,D,C)))))))))) # label(t31_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9591 $T # label(t2_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9592 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (m1_rmod_2(D,A,C) -> D = k2_rmod_3(A,B,D,C)))) & (all D (m1_rmod_2(D,A,B) -> (k2_rmod_3(A,B,D,C) = D -> m1_rmod_2(D,A,C)))))))))) # label(t21_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9593 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rmod_3(A,B,C,D) -> k2_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,D,C)) = k3_domain_1(u1_struct_0(B),u1_struct_0(B),k4_rmod_3(A,B,E,C,D))))))))))))) # label(t58_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9594 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> k2_rmod_3(A,B,k2_rmod_3(A,B,C,D),E) = k2_rmod_3(A,B,C,k2_rmod_3(A,B,D,E)))))))))))) # label(t19_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9595 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) & m1_rmod_2(E,A,D) -> m1_rmod_2(k1_rmod_3(A,B,C,E),A,D)))))))))))) # label(t40_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9596 $T # label(t42_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9597 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,E) & m1_rmod_2(C,A,D) -> m1_rmod_2(C,A,k2_rmod_3(A,B,D,E))))))))))))) # label(t24_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9598 $T # label(t54_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9599 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (v3_vectsp_2(E,A) & m1_rmod_2(E,A,B) -> (E = k1_rmod_3(A,B,C,D) <-> u1_struct_0(E) = a_4_0_rmod_3(A,B,C,D)))))))))))) # label(d1_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9600 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (r1_rlvect_1(D,E) | r1_rlvect_1(C,E) -> r1_rlvect_1(k1_rmod_3(A,B,C,D),E)))))))))))) # label(t6_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9601 (all A all B all C all D (v3_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v5_rlvect_1(B) & v6_rlvect_1(B) & m1_rmod_2(C,A,B) & m1_rmod_2(D,A,B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> v3_vectsp_2(k2_rmod_3(A,B,C,D),A) & m1_rmod_2(k2_rmod_3(A,B,C,D),A,B))) # label(dt_k2_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9602 (all A (v3_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v3_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> r2_hidden(B,k3_rmod_3(A,B)))))) # label(t44_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9603 $T # label(t61_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9604 $T # label(t60_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9605 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v3_vectsp_2(B,A) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> k2_rmod_3(A,B,k2_rmod_2(A,B),k2_rmod_2(A,B)) = B)))) # label(t28_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9606 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) -> v1_funct_1(k5_rmod_3(A,B)) & v1_funct_2(k5_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & m2_relset_1(k5_rmod_3(A,B),k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)))) # label(dt_k5_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9607 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> m1_rmod_2(k2_rmod_3(A,B,C,D),A,C) & m1_rmod_2(k2_rmod_3(A,B,C,D),A,D))))))))) # label(t20_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9608 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (r1_rmod_3(A,B,C,D) -> r1_rmod_3(A,B,D,C)))))))))) # label(t46_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9609 (all A (-v3_struct_0(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) -> m1_rmod_2(k2_rmod_3(A,B,C,E),A,D)))))))))))) # label(t23_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9610 (all A (-v3_struct_0(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m2_rmod_2(E,A,B,C) -> (all F (m2_rmod_2(F,A,B,D) -> (-r1_xboole_0(E,F) -> m2_rmod_2(k5_subset_1(u1_struct_0(B),E,F),A,B,k2_rmod_3(A,B,C,D))))))))))))))) # label(t48_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9611 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) & v3_vectsp_2(C,A) -> C = k1_rmod_3(A,B,k1_rmod_2(A,B),C) & k1_rmod_3(A,B,C,k1_rmod_2(A,B)) = C)))))) # label(t13_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9612 (all A (-v3_struct_0(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> k2_rmod_3(A,B,k2_rmod_2(A,B),C) = C & k2_rmod_3(A,B,C,k2_rmod_2(A,B)) = C)))))) # label(t27_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9613 (all A all B all C all D all E (v6_rlvect_1(B) & v4_group_1(B) & v6_vectsp_1(B) & v8_vectsp_1(B) & v3_rlvect_1(C) & v4_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,B) & m1_rmod_2(E,B,C) & m1_rmod_2(D,B,C) & l1_vectsp_2(C,B) & v5_rlvect_1(C) & -v3_struct_0(C) & l3_vectsp_1(B) & v7_vectsp_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_4_0_rmod_3(B,C,D,E)) <-> (exists F exists G (m1_subset_1(F,u1_struct_0(C)) & m1_subset_1(G,u1_struct_0(C)) & k4_rlvect_1(C,F,G) = A & r1_rlvect_1(D,F) & r1_rlvect_1(E,G)))))) # label(fraenkel_a_4_0_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9614 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) & v3_vectsp_2(D,A) -> (D = k1_rmod_3(A,B,C,D) <-> k2_rmod_3(A,B,C,D) = C))))))))) # label(t37_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9615 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) -> m1_rmod_2(k2_rmod_3(A,B,C,E),A,k2_rmod_3(A,B,D,E))))))))))))) # label(t22_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9616 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & m2_relset_1(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & v1_funct_1(C) -> (C = k5_rmod_3(A,B) <-> (all D (m1_subset_1(D,k3_rmod_3(A,B)) -> (all E (m1_subset_1(E,k3_rmod_3(A,B)) -> (all F (m1_rmod_2(F,A,B) -> (all G (m1_rmod_2(G,A,B) -> (D = F & E = G -> k2_binop_1(k3_rmod_3(A,B),k3_rmod_3(A,B),k3_rmod_3(A,B),C,D,E) = k1_rmod_3(A,B,F,G))))))))))))))))) # label(d6_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9617 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & v1_funct_2(C,k2_zfmisc_1(k3_rmod_3(A,B),k3_rmod_3(A,B)),k3_rmod_3(A,B)) & v1_funct_1(C) -> (C = k6_rmod_3(A,B) <-> (all D (m1_subset_1(D,k3_rmod_3(A,B)) -> (all E (m1_subset_1(E,k3_rmod_3(A,B)) -> (all F (m1_rmod_2(F,A,B) -> (all G (m1_rmod_2(G,A,B) -> (F = D & G = E -> k2_binop_1(k3_rmod_3(A,B),k3_rmod_3(A,B),k3_rmod_3(A,B),C,D,E) = k2_rmod_3(A,B,F,G))))))))))))))))) # label(d7_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9618 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> m1_rmod_2(k1_rmod_3(A,B,C,k2_rmod_3(A,B,D,E)),A,k2_rmod_3(A,B,k1_rmod_3(A,B,D,C),k1_rmod_3(A,B,C,E))))))))))))) # label(t34_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9619 $T # label(t26_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9620 $T # label(t45_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9621 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (v3_vectsp_2(C,A) & m1_rmod_2(C,A,B) -> C = k2_rmod_3(A,B,C,C))))))) # label(t17_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9622 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (r1_rmod_3(A,B,D,E) -> (all F (m1_subset_1(F,k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B))) -> (C = k4_rlvect_1(B,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F),k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & r1_rlvect_1(D,k2_domain_1(u1_struct_0(B),u1_struct_0(B),F)) & r1_rlvect_1(E,k3_domain_1(u1_struct_0(B),u1_struct_0(B),F)) <-> F = k4_rmod_3(A,B,C,D,E))))))))))))))) # label(d5_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9623 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> -((exists E (m1_rmod_2(E,A,B) & u1_struct_0(E) = k2_xboole_0(u1_struct_0(C),u1_struct_0(D)))) & -m1_rmod_2(C,A,D) & -m1_rmod_2(D,A,C)) & -((all E (m1_rmod_2(E,A,B) -> k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) != u1_struct_0(E))) & (m1_rmod_2(D,A,C) | m1_rmod_2(C,A,D))))))))))) # label(t41_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9624 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (k2_rmod_3(A,B,C,D) = k1_rmod_2(A,B) & k1_rmod_3(A,B,C,D) = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) <-> r1_rmod_3(A,B,C,D)))))))))) # label(d4_rmod_3) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9625 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v5_rlvect_1(B) & m1_rmod_4(C,A,B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> m1_rmod_4(k8_rmod_4(A,B,C),A,B))) # label(dt_k8_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9626 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> (k2_rmod_4(A,B,C) = k1_xboole_0 <-> C = k3_rmod_4(A,B)))))))) # label(d6_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.91 9627 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> k2_rmod_4(A,B,C) = a_3_0_rmod_4(A,B,C))))))) # label(d5_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9628 $T # label(t50_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9629 (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_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> m2_rmod_4(k3_rmod_4(A,B),A,B,C))))))) # label(t26_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9630 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k8_funct_2(u1_struct_0(B),u1_struct_0(A),k3_rmod_4(A,B),C) = k1_rlvect_1(A))))))) # label(t22_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9631 (all A (v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> k6_rlvect_1(B,k4_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,D)),k1_rmod_4(A,B,k3_rlvect_2(B,C,D))) = k1_rmod_4(A,B,k2_rlvect_2(B,C,D)))))))))) # label(t10_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9632 $T # label(t29_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9633 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_rlvect_1(B) = k6_vectsp_2(A,B,C,k9_rlvect_1(B,k6_finseq_1(u1_struct_0(B)))))))))) # label(t2_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9634 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(D) -> k12_finseq_1(u1_struct_0(B),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C)) = k4_rmod_4(A,B,k12_finseq_1(u1_struct_0(B),C),D))))))))) # label(t34_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9635 (all A (-v3_struct_0(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (D != C -> k1_rmod_4(A,B,k8_rlvect_2(B,C,D)) = k4_rlvect_1(B,C,D)))))))))) # label(t7_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9636 (all A all B all C all D (v3_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) & m1_rmod_4(D,A,B) & v6_rlvect_1(B) & v5_rlvect_1(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (r1_rmod_4(A,B,C,D) -> r1_rmod_4(A,B,D,C)))) # label(symmetry_r1_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9637 $T # label(t66_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9638 $T # label(t71_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9639 (all A all B all C all D (-v3_struct_0(A) & v3_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & m1_finseq_1(C,u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m1_relset_1(D,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(D) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> m2_finseq_1(k4_rmod_4(A,B,C,D),u1_struct_0(B)))) # label(dt_k4_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9640 (all A (v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(E) -> k4_rmod_4(A,B,k2_finseq_4(u1_struct_0(B),C,D),E) = k2_finseq_4(u1_struct_0(B),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D)))))))))))) # label(t35_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9641 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> k9_rmod_4(A,B,C,D) = k6_rmod_4(A,B,C,k8_rmod_4(A,B,D)))))))))) # label(d14_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9642 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(D) -> k1_rmod_4(A,B,k5_rlvect_2(B,C,D)) = k4_rlvect_1(B,k1_rmod_4(A,B,k4_rlvect_2(B,C,D)),k1_rmod_4(A,B,k4_rlvect_2(B,D,C))))))))))) # label(t15_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9643 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_4(D,A,B) -> (m2_rmod_4(D,A,B,C) -> m2_rmod_4(k8_rmod_4(A,B,D),A,B,C)))))))))) # label(t70_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9644 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) -> (all D (v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> k1_rmod_4(A,B,k5_rlvect_2(B,C,D)) = k6_rlvect_1(B,k1_rmod_4(A,B,k2_rlvect_2(B,C,D)),k1_rmod_4(A,B,k3_rlvect_2(B,C,D))))))))))) # label(t14_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9645 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> r1_rmod_4(A,B,k6_rmod_4(A,B,C,D),k6_rmod_4(A,B,D,C)))))))))) # label(t53_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9646 (all A all B all C (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & m1_rmod_4(C,A,B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> m1_subset_1(k2_rmod_4(A,B,C),k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(k2_rmod_4(A,B,C)))) # label(dt_k2_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9647 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> k2_rmod_4(A,B,C) = k2_rmod_4(A,B,k8_rmod_4(A,B,C)))))))) # label(t69_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9648 (all A all B all C (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> m1_subset_1(k1_rmod_4(A,B,C),u1_struct_0(B)))) # label(dt_k1_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9649 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_rmod_4(E,A,B) -> r1_rmod_4(A,B,k7_rmod_4(A,B,D,k7_rmod_4(A,B,C,E)),k7_rmod_4(A,B,k1_group_1(A,C,D),E)))))))))))) # label(t64_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9650 $T # label(d1_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9651 $T # label(t30_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9652 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> r1_rmod_4(A,B,k9_rmod_4(A,B,C,C),k3_rmod_4(A,B)))))))) # label(t76_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9653 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) -> (all B (v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> k5_rmod_4(A,B,k3_rmod_4(A,B)) = k1_rlvect_1(B))))) # label(t41_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9654 (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) & v7_group_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> r1_rmod_4(A,B,k6_rmod_4(A,B,C,k3_rmod_4(A,B)),C) & r1_rmod_4(A,B,k6_rmod_4(A,B,k3_rmod_4(A,B),C),C))))))) # label(t55_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9655 $T # label(t17_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9656 $T # label(t18_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9657 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> k1_rmod_4(A,B,k4_rlvect_2(B,C,D)) = k6_rlvect_1(B,k1_rmod_4(A,B,k2_rlvect_2(B,C,D)),k1_rmod_4(A,B,D)))))))))) # label(t12_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9658 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> (k7_rmod_4(A,B,C,D) = E <-> (all F (m1_subset_1(F,u1_struct_0(B)) -> k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,F) = k1_group_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,F),C)))))))))))))) # label(d12_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9659 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (C != D -> (all E (m2_rmod_4(E,A,B,k8_rlvect_2(B,C,D)) -> k4_rlvect_1(B,k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D)) = k5_rmod_4(A,B,E)))))))))))) # label(t44_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9660 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> (k2_rmod_4(A,B,C) = k1_xboole_0 -> k1_rlvect_1(B) = k5_rmod_4(A,B,C)))))))) # label(t45_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9661 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m2_rmod_4(D,A,B,k7_rlvect_2(B,C)) -> k5_rmod_4(A,B,D) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C))))))))) # label(t43_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9662 $T # label(t57_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9663 (all A (v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m2_finseq_1(C,u1_struct_0(B)) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) -> (all E (m2_finseq_1(E,u1_struct_0(B)) -> ((all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (r2_hidden(F,k1_relat_1(E)) -> k1_funct_1(E,F) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,k4_finseq_4(k5_numbers,u1_struct_0(B),C,F)),k4_finseq_4(k5_numbers,u1_struct_0(B),C,F))))) & k3_finseq_1(C) = k3_finseq_1(E) <-> E = k4_rmod_4(A,B,C,D)))))))))))) # label(d8_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9664 (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) & v6_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> ((exists E (k9_rlvect_1(B,E) = D & v2_funct_1(E) & k2_relat_1(E) = C & m2_finseq_1(E,u1_struct_0(B)))) <-> k1_rmod_4(A,B,C) = D))))))))) # label(d3_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9665 (all A (-v3_struct_0(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (all C (m2_fraenkel(C,u1_struct_0(B),u1_struct_0(A),k1_fraenkel(u1_struct_0(B),u1_struct_0(A))) -> (m1_rmod_4(C,A,B) <-> (exists D (v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & (all E (m1_subset_1(E,u1_struct_0(B)) -> (-r2_hidden(E,D) -> k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) = k1_rlvect_1(A))))))))))))) # label(d4_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9666 (all A (v3_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (k5_rmod_4(A,B,C) = D <-> (exists E (k2_rmod_4(A,B,C) = k2_relat_1(E) & k9_rlvect_1(B,k4_rmod_4(A,B,E,C)) = D & v2_funct_1(E) & m2_finseq_1(E,u1_struct_0(B))))))))))))) # label(d9_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9667 $T # label(t48_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9668 (all A (-v3_struct_0(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> k6_vectsp_2(A,B,C,k9_rlvect_1(B,k3_finseq_4(u1_struct_0(B),D,E,F))) = k4_rlvect_1(B,k4_rlvect_1(B,k6_vectsp_2(A,B,C,D),k6_vectsp_2(A,B,C,E)),k6_vectsp_2(A,B,C,F)))))))))))))) # label(t4_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9669 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> k5_rmod_4(A,B,k9_rmod_4(A,B,C,D)) = k6_rlvect_1(B,k5_rmod_4(A,B,C),k5_rmod_4(A,B,D)))))))))) # label(t80_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9670 (all A (-v3_struct_0(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) -> (all D (v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> k6_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,k3_rlvect_2(B,C,D))) = k1_rmod_4(A,B,k4_rlvect_2(B,C,D)))))))))) # label(t13_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9671 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m2_finseq_1(D,u1_struct_0(B)) -> (all E (m2_finseq_1(E,u1_struct_0(B)) -> (k3_finseq_1(E) = k3_finseq_1(D) & (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (all G (m1_subset_1(G,u1_struct_0(B)) -> (r2_hidden(F,k1_relat_1(D)) & k1_funct_1(E,F) = G -> k1_funct_1(D,F) = k6_vectsp_2(A,B,C,G)))))) -> k6_vectsp_2(A,B,C,k9_rlvect_1(B,E)) = k9_rlvect_1(B,D)))))))))))) # label(t1_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9672 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) -> m1_rmod_4(k3_rmod_4(A,B),A,B))) # label(dt_k3_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9673 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_4(D,A,B) -> (k1_rlvect_1(A) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C) <-> -r2_hidden(C,k2_rmod_4(A,B,D))))))))))) # label(t20_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9674 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) -> (all C all D (m1_rmod_4(D,A,B) -> ((exists E (C = E & k1_rlvect_1(A) != k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(C,k2_rmod_4(A,B,D))))))))) # label(t19_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9675 $T # label(t23_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9676 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (all C (m1_rmod_4(C,A,B) -> r1_rmod_4(A,B,k7_rmod_4(A,B,k1_rlvect_1(A),C),k3_rmod_4(A,B)))))))) # label(t60_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9677 $T # label(t56_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9678 (all A (v5_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_4(D,A,B) -> (k2_rmod_4(A,B,D) = k7_rlvect_2(B,C) -> k5_rmod_4(A,B,D) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),C)))))))))) # label(t46_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9679 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v3_rlvect_1(B) -> (all C (m2_rmod_4(C,A,B,k1_subset_1(u1_struct_0(B))) -> k3_rmod_4(A,B) = C)))))) # label(t27_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9680 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> r1_rmod_4(A,B,k7_rmod_4(A,B,k2_group_1(A),C),C))))))) # label(t65_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9681 (all A (v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_4(D,A,B) -> (m2_rmod_4(D,A,B,C) <-> r1_tarski(k2_rmod_4(A,B,D),C)))))))))) # label(d7_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9682 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_rmod_4(E,A,B) -> r1_rmod_4(A,B,k7_rmod_4(A,B,k4_rlvect_1(A,C,D),E),k6_rmod_4(A,B,k7_rmod_4(A,B,C,E),k7_rmod_4(A,B,D,E))))))))))))) # label(t62_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9683 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> k1_rlvect_1(B) = k1_rmod_4(A,B,k1_pre_topc(B)))))) # label(t5_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9684 (all A (-v3_struct_0(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) -> (all D (v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> k1_rmod_4(A,B,k3_rlvect_2(B,C,D)) = k6_rlvect_1(B,k4_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,D)),k1_rmod_4(A,B,k2_rlvect_2(B,C,D))))))))))) # label(t11_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9685 (all A all B all C all D (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & m1_rmod_4(D,A,B) & m1_rmod_4(C,A,B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (C = D <-> r1_rmod_4(A,B,C,D)))) # label(redefinition_r1_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9686 $T # label(t72_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9687 $T # label(t31_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9688 (all A all B all C (-v3_struct_0(A) & v3_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & m1_rmod_4(C,A,B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> k8_rmod_4(A,B,k8_rmod_4(A,B,C)) = C)) # label(involutiveness_k8_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9689 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> r1_rmod_4(A,B,k6_rmod_4(A,B,C,k6_rmod_4(A,B,D,E)),k6_rmod_4(A,B,k6_rmod_4(A,B,C,D),E)))))))))))) # label(t54_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9690 $T # label(d2_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9691 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> ((all F (m1_subset_1(F,u1_struct_0(B)) -> k4_rlvect_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,F),k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,F)) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,F))) <-> E = k6_rmod_4(A,B,C,D)))))))))))) # label(d11_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9692 (all A (v3_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> (m2_rmod_4(D,A,B,C) & m2_rmod_4(E,A,B,C) -> m2_rmod_4(k6_rmod_4(A,B,D,E),A,B,C)))))))))))) # label(t52_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9693 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m2_finseq_1(C,u1_struct_0(B)) -> (all D (m2_finseq_1(D,u1_struct_0(B)) -> (all E (v1_funct_2(E,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(E) -> k8_finseq_1(u1_struct_0(B),k4_rmod_4(A,B,C,E),k4_rmod_4(A,B,D,E)) = k4_rmod_4(A,B,k8_finseq_1(u1_struct_0(B),C,D),E))))))))))) # label(t37_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9694 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k6_vectsp_2(A,B,D,k5_rmod_4(A,B,C)) = k5_rmod_4(A,B,k7_rmod_4(A,B,D,C)))))))))) # label(t78_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9695 (all A (v5_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> ((all E (m1_subset_1(E,u1_struct_0(B)) -> k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E))) <-> r1_rmod_4(A,B,C,D)))))))))) # label(d10_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9696 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> r1_rmod_4(A,B,k7_rmod_4(A,B,C,k6_rmod_4(A,B,D,E)),k6_rmod_4(A,B,k7_rmod_4(A,B,C,D),k7_rmod_4(A,B,C,E))))))))))))) # label(t63_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9697 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all C (m1_rmod_4(C,A,B) -> m2_fraenkel(C,u1_struct_0(B),u1_struct_0(A),k1_fraenkel(u1_struct_0(B),u1_struct_0(A))))))) # label(dt_m1_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9698 (all A all B all C all D (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_4(C,A,B) & m1_rmod_4(D,A,B) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & v7_vectsp_1(A) & v6_vectsp_1(A) & -v3_struct_0(A) -> m1_rmod_4(k9_rmod_4(A,B,C,D),A,B))) # label(dt_k9_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9699 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> (r1_rmod_4(A,B,k6_rmod_4(A,B,C,D),k3_rmod_4(A,B)) -> r1_rmod_4(A,B,D,k8_rmod_4(A,B,C))))))))))) # label(t68_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9700 (all A all B all C all D (v4_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_4(D,A,B) & m1_rmod_4(C,A,B) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> r1_rmod_4(A,B,C,C))) # label(reflexivity_r1_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9701 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> m2_rmod_4(C,A,B,k2_rmod_4(A,B,C)))))))) # label(t28_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9702 $T # label(t16_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9703 $T # label(t38_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9704 (all A all B all C all D (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & m1_rmod_4(D,A,B) & m1_rmod_4(C,A,B) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> m1_rmod_4(k6_rmod_4(A,B,C,D),A,B))) # label(dt_k6_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9705 (all A all B (-v3_struct_0(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (exists C m1_rmod_4(C,A,B)))) # label(existence_m1_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.92 9706 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> C = k1_rmod_4(A,B,k7_rlvect_2(B,C)))))))) # label(t6_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9707 (all A (v4_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v6_vectsp_1(A) & v7_group_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k1_rlvect_1(A) != D -> k2_rmod_4(A,B,k7_rmod_4(A,B,D,C)) = k2_rmod_4(A,B,C)))))))))) # label(t59_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9708 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_rmod_4(D,A,B) -> r1_tarski(k2_rmod_4(A,B,k7_rmod_4(A,B,C,D)),k2_rmod_4(A,B,D)))))))))) # label(t58_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9709 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> r1_tarski(k2_rmod_4(A,B,k9_rmod_4(A,B,C,D)),k2_rlvect_2(B,k2_rmod_4(A,B,C),k2_rmod_4(A,B,D))))))))))) # label(t74_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9710 (all A (v3_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m2_rmod_4(C,A,B,k1_subset_1(u1_struct_0(B))) -> k5_rmod_4(A,B,C) = k1_rlvect_1(B))))))) # label(t42_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9711 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (v1_funct_1(F) & m2_relset_1(F,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) -> k4_rmod_4(A,B,k3_finseq_4(u1_struct_0(B),C,D,E),F) = k3_finseq_4(u1_struct_0(B),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,D),D),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,E),E)))))))))))))) # label(t36_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9712 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (v3_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (all E (m2_rmod_4(E,A,B,C) -> (r1_tarski(C,D) -> m2_rmod_4(E,A,B,D)))))))))))) # label(t25_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9713 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> k7_rmod_4(A,B,k5_rlvect_1(A,k2_group_1(A)),C) = k8_rmod_4(A,B,C))))))) # label(d13_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9714 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_rmod_4(E,A,B) -> (k8_rlvect_2(B,C,D) = k2_rmod_4(A,B,E) -> k5_rmod_4(A,B,E) = k4_rlvect_1(B,k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C),C),k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,D),D)) | D = C))))))))))) # label(t47_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9715 (all A (-v3_struct_0(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) -> k4_rmod_4(A,B,k6_finseq_1(u1_struct_0(B)),C) = k6_finseq_1(u1_struct_0(B)))))))) # label(t33_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9716 (all A all B all C (-v3_struct_0(A) & v5_rlvect_1(A) & v5_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all D (m2_rmod_4(D,A,B,C) -> m1_rmod_4(D,A,B))))) # label(dt_m2_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9717 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & -v10_vectsp_1(A) & v7_vectsp_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> k5_rmod_4(A,B,k8_rmod_4(A,B,C)) = k5_rlvect_1(B,k5_rmod_4(A,B,C)))))))) # label(t79_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9718 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> k4_rlvect_1(B,k6_vectsp_2(A,B,C,D),k6_vectsp_2(A,B,C,E)) = k6_vectsp_2(A,B,C,k9_rlvect_1(B,k2_finseq_4(u1_struct_0(B),D,E))))))))))))) # label(t3_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9719 $T # label(t21_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9720 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (all E (m1_rmod_4(E,A,B) -> (m2_rmod_4(E,A,B,D) -> m2_rmod_4(k7_rmod_4(A,B,C,E),A,B,D)))))))))))) # label(t61_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9721 $T # label(t49_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9722 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> k6_rlvect_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C),k8_funct_2(u1_struct_0(B),u1_struct_0(A),E,C)) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),k9_rmod_4(A,B,D,E),C))))))))))) # label(t73_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9723 (all A (v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_rmod_4(D,A,B) -> k5_rlvect_1(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,C)) = k8_funct_2(u1_struct_0(B),u1_struct_0(A),k8_rmod_4(A,B,D),C))))))))) # label(t67_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9724 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (k1_rlvect_1(A) != k2_group_1(A) -> (v1_rmod_2(C,A,B) & k1_xboole_0 != C <-> (all D (m2_rmod_4(D,A,B,C) -> r2_hidden(k5_rmod_4(A,B,D),C))))))))))) # label(t40_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9725 (all A (v3_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_rmod_4(D,A,B) -> (all E (m1_rmod_4(E,A,B) -> (m2_rmod_4(D,A,B,C) & m2_rmod_4(E,A,B,C) -> m2_rmod_4(k9_rmod_4(A,B,D,E),A,B,C)))))))))))) # label(t75_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9726 (all A all B all C all D (v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & m1_rmod_4(D,A,B) & m1_subset_1(C,u1_struct_0(A)) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> m1_rmod_4(k7_rmod_4(A,B,C,D),A,B))) # label(dt_k7_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9727 $T # label(t24_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9728 (all A all B all C (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists D m2_rmod_4(D,A,B,C)))) # label(existence_m2_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9729 (all A (v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_finset_1(D) -> (r1_xboole_0(C,D) -> k4_rlvect_1(B,k1_rmod_4(A,B,C),k1_rmod_4(A,B,D)) = k1_rmod_4(A,B,k2_rlvect_2(B,C,D))))))))))) # label(t9_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9730 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> r1_tarski(k2_rmod_4(A,B,k6_rmod_4(A,B,C,D)),k2_rlvect_2(B,k2_rmod_4(A,B,C),k2_rmod_4(A,B,D))))))))))) # label(t51_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9731 (all A all B all C (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & m1_rmod_4(C,A,B) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k5_rmod_4(A,B,C),u1_struct_0(B)))) # label(dt_k5_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9732 (all A (-v3_struct_0(A) & v4_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m2_finseq_1(E,u1_struct_0(B)) -> (all F (v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(F,u1_struct_0(B),u1_struct_0(A)) -> (r2_hidden(C,k1_relat_1(E)) & D = k1_funct_1(E,C) -> k1_funct_1(k4_rmod_4(A,B,E,F),C) = k6_vectsp_2(A,B,k8_funct_2(u1_struct_0(B),u1_struct_0(A),F,D),D)))))))))))))) # label(t32_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9733 $T # label(t39_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9734 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_rmod_4(C,A,B) -> (all D (m1_rmod_4(D,A,B) -> k5_rmod_4(A,B,k6_rmod_4(A,B,C,D)) = k4_rlvect_1(B,k5_rmod_4(A,B,C),k5_rmod_4(A,B,D)))))))))) # label(t77_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9735 (all A all B all C all D (v3_rlvect_1(B) & v5_rlvect_1(B) & v4_group_1(B) & v8_vectsp_1(B) & l3_vectsp_1(B) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,B) & m1_rmod_4(D,B,C) & l1_vectsp_2(C,B) & v3_rlvect_1(C) & -v3_struct_0(C) & v7_vectsp_1(B) & v6_vectsp_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_0_rmod_4(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(C)) & k8_funct_2(u1_struct_0(C),u1_struct_0(B),D,E) != k1_rlvect_1(B) & E = A))))) # label(fraenkel_a_3_0_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9736 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> -(D != E & E != C & k4_rlvect_1(B,k4_rlvect_1(B,C,D),E) != k1_rmod_4(A,B,k9_rlvect_2(B,C,D,E)) & D != C))))))))))) # label(t8_rmod_4) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9737 $T # label(t1_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9738 (all A (v5_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> -(k1_xboole_0 != C & k7_rlvect_2(B,k1_rlvect_1(B)) != C & k1_rmod_2(A,B) = k1_rmod_5(A,B,C)))))))) # label(t12_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9739 (all A all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & -v10_vectsp_1(B) & l3_vectsp_1(B) & v2_vectsp_2(B) & v6_vectsp_1(B) & v7_group_1(B) & v4_group_1(B) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (v4_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,B) & v5_vectsp_2(C,B) & v5_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) -> (r2_hidden(A,D) -> r1_rlvect_1(k1_rmod_5(B,C,D),A)))))))) # label(t10_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9740 (all A all B all C all D (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v4_group_1(B) & v7_group_1(B) & v2_vectsp_2(B) & l3_vectsp_1(B) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) & l1_vectsp_2(C,B) & v5_vectsp_2(C,B) & v6_rlvect_1(C) & -v3_struct_0(C) & -v10_vectsp_1(B) & v8_vectsp_1(B) & v7_vectsp_1(B) & v6_vectsp_1(B) & v3_rlvect_1(B) -> (r2_hidden(A,a_3_0_rmod_5(B,C,D)) <-> (exists E (m2_rmod_4(E,B,C,D) & A = k5_rmod_4(B,C,E)))))) # label(fraenkel_a_3_0_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9741 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> -(v1_rmod_5(C,A,B) & r2_hidden(k1_rlvect_1(B),C) & k2_group_1(A) != k1_rlvect_1(A)))))))) # label(t3_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9742 (all A all B (v3_rlvect_1(B) & v5_rlvect_1(B) & v4_group_1(B) & v7_group_1(B) & v7_vectsp_1(B) & v8_vectsp_1(B) & v2_vectsp_2(B) & l3_vectsp_1(B) & -v10_vectsp_1(B) & v6_vectsp_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v3_rlvect_1(C) & v4_rlvect_1(C) & v5_vectsp_2(C,B) & l1_vectsp_2(C,B) & v6_rlvect_1(C) & v5_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) -> ((exists E (m2_rmod_4(E,B,C,D) & A = k5_rmod_4(B,C,E))) <-> r1_rlvect_1(k1_rmod_5(B,C,D),A)))))))) # label(t9_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9743 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v4_group_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v6_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & v3_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v1_rmod_5(C,A,B) <-> (all D (m2_rmod_4(D,A,B,C) -> (k5_rmod_4(A,B,D) = k1_rlvect_1(B) -> k2_rmod_4(A,B,D) = k1_xboole_0)))))))))) # label(d1_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9744 $T # label(t8_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9745 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v7_group_1(A) & v7_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> m1_rmod_2(k1_rmod_5(A,B,k5_subset_1(u1_struct_0(B),C,D)),A,k2_rmod_3(A,B,k1_rmod_5(A,B,C),k1_rmod_5(A,B,D))))))))))) # label(t18_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9746 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v8_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> k1_rmod_5(A,B,k4_subset_1(u1_struct_0(B),C,D)) = k1_rmod_3(A,B,k1_rmod_5(A,B,C),k1_rmod_5(A,B,D)))))))))) # label(t17_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9747 $T # label(t7_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9748 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & v8_vectsp_1(A) & v7_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> (u1_struct_0(D) = C -> k2_group_1(A) = k1_rlvect_1(A) | D = k1_rmod_5(A,B,C)))))))))) # label(t13_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9749 (all A (v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v1_rmod_5(D,A,B) & r1_tarski(C,D) -> v1_rmod_5(C,A,B)))))))))) # label(t2_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9750 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> (u1_struct_0(D) = a_3_0_rmod_5(A,B,C) <-> D = k1_rmod_5(A,B,C)))))))))) # label(d2_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9751 (all A (-v3_struct_0(A) & v4_group_1(A) & v7_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v7_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,D) -> m1_rmod_2(k1_rmod_5(A,B,C),A,k1_rmod_5(A,B,D))))))))))) # label(t15_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9752 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_1(A) & v7_group_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v3_vectsp_2(B,A) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (u1_struct_0(B) = C -> k2_group_1(A) = k1_rlvect_1(A) | B = k1_rmod_5(A,B,C)))))))) # label(t14_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9753 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & -v10_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B) -> k1_rmod_2(A,B) = k1_rmod_5(A,B,k1_subset_1(u1_struct_0(B))))))) # label(t11_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9754 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l3_vectsp_1(A) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (k1_rlvect_1(A) != k2_group_1(A) -> -v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B) & -v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B)))))))) # label(t6_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9755 (all A (v4_rlvect_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v4_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> v1_rmod_5(k1_subset_1(u1_struct_0(B)),A,B))))) # label(t4_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9756 (all A (v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & l3_vectsp_1(A) & v2_vectsp_2(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (k1_rmod_5(A,B,C) = B & r1_tarski(C,D) -> k1_rmod_5(A,B,D) = B))))))))) # label(t16_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9757 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (v1_rmod_5(k8_rlvect_2(B,C,D),A,B) -> k1_rlvect_1(A) = k2_group_1(A) | D != k1_rlvect_1(B) & C != k1_rlvect_1(B)))))))))) # label(t5_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9758 (all A all B all C (-v3_struct_0(A) & v6_rlvect_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v2_vectsp_2(A) & v4_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v6_rlvect_1(B) & v5_rlvect_1(B) & v3_rlvect_1(B) & -v3_struct_0(B) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v4_group_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> v3_vectsp_2(k1_rmod_5(A,B,C),A) & m1_rmod_2(k1_rmod_5(A,B,C),A,B))) # label(dt_k1_rmod_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9759 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m1_oppcat_1(E,B,C) -> m1_oppcat_1(k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E),A,C))))))))))) # label(t61_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9760 (all A all B all C all D (-v1_xboole_0(B) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) & -v1_xboole_0(C) & -v1_xboole_0(A) -> k1_oppcat_1(A,B,C,D) = k2_funct_4(D))) # label(redefinition_k1_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9761 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v7_cat_1(k3_oppcat_1(A,B),k2_oppcat_1(A)) <-> v6_cat_1(B,A)))))) # label(t27_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9762 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,k2_oppcat_1(A),B) -> (all D (m1_subset_1(D,u1_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,C),D) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,k7_oppcat_1(A,B,C)),k4_oppcat_1(A,D)))))))))) # label(t30_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9763 (all A all B (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)))))) # label(dt_m1_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9764 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) -> C = k8_oppcat_1(A,B,k7_oppcat_1(A,B,C)))))))) # label(t49_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9765 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (r2_hidden(k5_oppcat_1(A,D),k6_cat_1(k2_oppcat_1(A),k3_oppcat_1(A,C),k3_oppcat_1(A,B))) <-> r2_hidden(D,k6_cat_1(A,B,C))))))))))) # label(t13_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9766 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(k2_oppcat_1(B)),k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),k5_oppcat_1(A,D)) = k5_oppcat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)))))))))) # label(t47_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9767 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,E) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D) = E))))))))))) # label(t31_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9768 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> (all C (m1_subset_1(C,u1_cat_1(k2_oppcat_1(A))) -> (all D (m1_cat_1(D,k2_oppcat_1(A),B,C) -> (k1_xboole_0 != k6_cat_1(k2_oppcat_1(A),B,C) -> m1_cat_1(k6_oppcat_1(A,D),A,k4_oppcat_1(A,C),k4_oppcat_1(A,B))))))))))) # label(t16_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9769 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> m2_cat_1(k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),k2_oppcat_1(A),k2_oppcat_1(B)))))))) # label(t64_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9770 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k2_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)) = k3_cat_1(A,B) & k3_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)) = k2_cat_1(A,B))))) # label(t9_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9771 (all A (v2_cat_1(A) & l1_cat_1(A) -> k8_oppcat_1(A,A,k15_cat_1(A)) = k11_oppcat_1(A))) # label(d11_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9772 (all A (v2_cat_1(A) & l1_cat_1(A) -> g1_cat_1(u1_cat_1(A),u2_cat_1(A),u4_cat_1(A),u3_cat_1(A),k1_oppcat_1(u2_cat_1(A),u2_cat_1(A),u2_cat_1(A),u5_cat_1(A)),u6_cat_1(A)) = k2_oppcat_1(A))) # label(d1_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9773 (all A (l1_cat_1(A) & v2_cat_1(A) -> m1_oppcat_1(k10_oppcat_1(A),A,k2_oppcat_1(A)))) # label(dt_k10_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9774 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> m1_oppcat_1(k8_oppcat_1(A,B,C),k2_oppcat_1(A),B))))))) # label(t58_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9775 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B),k8_oppcat_1(A,B,C),k5_oppcat_1(A,D)) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))))))))) # label(t40_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9776 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> C = k7_oppcat_1(A,B,k8_oppcat_1(A,B,C)))))))) # label(t48_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.93 9777 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> (k6_cat_1(A,B,C) != k1_xboole_0 -> m1_cat_1(k5_oppcat_1(A,D),k2_oppcat_1(A),k3_oppcat_1(A,C),k3_oppcat_1(A,B))))))))))) # label(t15_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9778 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k2_cat_1(A,C) = k3_cat_1(A,B) -> k4_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,C),k5_oppcat_1(A,B)) = k5_oppcat_1(A,k4_cat_1(A,B,C))))))))) # label(t17_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9779 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,k2_oppcat_1(A),B) -> (all D (m1_subset_1(D,u1_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,C),D) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,k7_oppcat_1(A,B,C)),k4_oppcat_1(A,D)))))))))) # label(t38_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9780 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> k2_cat_1(k2_oppcat_1(A),B) = k3_cat_1(A,k6_oppcat_1(A,B)) & k3_cat_1(k2_oppcat_1(A),B) = k2_cat_1(A,k6_oppcat_1(A,B)))))) # label(t10_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9781 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> m1_oppcat_1(k9_oppcat_1(A,B,C),A,k2_oppcat_1(B)))))))) # label(t59_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9782 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),D) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k4_oppcat_1(A,D)))))))))) # label(t44_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9783 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k3_oppcat_1(A,B) = k8_funct_2(u1_cat_1(A),u1_cat_1(k2_oppcat_1(A)),k12_cat_1(A,k2_oppcat_1(A),k10_oppcat_1(A)),B))))) # label(t67_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9784 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> k3_oppcat_1(A,k4_oppcat_1(A,B)) = B)))) # label(t5_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9785 (all A (l1_cat_1(A) & v2_cat_1(A) -> v1_cat_1(k2_oppcat_1(A)) & v2_cat_1(k2_oppcat_1(A)) & l1_cat_1(k2_oppcat_1(A)))) # label(dt_k2_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9786 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> k8_oppcat_1(A,B,C) = k7_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(A),u2_cat_1(B),k11_oppcat_1(A),C) & k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(k2_oppcat_1(B)),C,k10_oppcat_1(B)) = k9_oppcat_1(A,B,C))))))) # label(t70_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9787 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> m1_oppcat_1(k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),k2_oppcat_1(A),k2_oppcat_1(B)))))))) # label(t65_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9788 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(k2_oppcat_1(B)),k12_cat_1(A,k2_oppcat_1(B),k9_oppcat_1(A,B,C)),D) = k3_oppcat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)))))))))) # label(t46_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9789 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_2(D,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) -> (k8_oppcat_1(A,B,C) = D <-> (all E (m1_subset_1(E,u2_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k6_oppcat_1(A,E)) = k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B),D,E)))))))))))) # label(d8_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9790 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k5_oppcat_1(A,B) = k8_funct_2(u2_cat_1(A),u2_cat_1(k2_oppcat_1(A)),k10_oppcat_1(A),B))))) # label(t66_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9791 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> k6_oppcat_1(A,k10_cat_1(k2_oppcat_1(A),B)) = k10_cat_1(A,k4_oppcat_1(A,B)))))) # label(t22_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9792 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) & v1_cat_1(B) -> (all C (v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> C = k9_oppcat_1(A,k2_oppcat_1(B),k9_oppcat_1(A,B,C)))))))) # label(t51_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9793 (all A (l1_cat_1(A) & v2_cat_1(A) -> k10_oppcat_1(A) = k9_oppcat_1(A,A,k15_cat_1(A)))) # label(d10_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9794 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,k2_oppcat_1(A),B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,C),k3_oppcat_1(A,D)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,k7_oppcat_1(A,B,C)),D))))))))) # label(t29_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9795 (all A all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) & l1_cat_1(A) & v2_cat_1(A) -> m1_subset_1(k6_oppcat_1(A,B),u2_cat_1(A)))) # label(dt_k6_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9796 (all A all B all C all D (-v1_xboole_0(A) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & v1_funct_1(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> v1_funct_1(k1_oppcat_1(A,B,C,D)) & m2_relset_1(k1_oppcat_1(A,B,C,D),k2_zfmisc_1(B,A),C))) # label(dt_k1_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9797 (all A (v2_cat_1(A) & l1_cat_1(A) -> k2_oppcat_1(k2_oppcat_1(A)) = g1_cat_1(u1_cat_1(A),u2_cat_1(A),u3_cat_1(A),u4_cat_1(A),u5_cat_1(A),u6_cat_1(A)))) # label(t2_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9798 (all A all B (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> (exists C m1_oppcat_1(C,A,B)))) # label(existence_m1_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9799 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k4_oppcat_1(A,k3_oppcat_1(A,B)) = B)))) # label(t4_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9800 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> (all C (m1_subset_1(C,u1_cat_1(k2_oppcat_1(A))) -> (all D (m1_subset_1(D,u2_cat_1(k2_oppcat_1(A))) -> (r2_hidden(D,k6_cat_1(k2_oppcat_1(A),B,C)) <-> r2_hidden(k6_oppcat_1(A,D),k6_cat_1(A,k4_oppcat_1(A,C),k4_oppcat_1(A,B)))))))))))) # label(t14_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9801 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> (m1_oppcat_1(C,A,B) <-> (all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (k10_cat_1(B,E) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) & m1_subset_1(E,u1_cat_1(B)))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k2_cat_1(A,D))) = k10_cat_1(B,k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) & k10_cat_1(B,k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k3_cat_1(A,D))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k3_cat_1(A,D) = k2_cat_1(A,E) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k4_cat_1(A,D,E)) = k4_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)))))))))))))) # label(d7_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9802 (all A (v2_cat_1(A) & l1_cat_1(A) -> m1_oppcat_1(k11_oppcat_1(A),k2_oppcat_1(A),A))) # label(dt_k11_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9803 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v1_cat_1(B) & l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_2(C,u2_cat_1(B),u2_cat_1(A)) & m2_relset_1(C,u2_cat_1(B),u2_cat_1(A)) & v1_funct_1(C) -> C = k8_oppcat_1(k2_oppcat_1(B),A,k8_oppcat_1(B,A,C)))))))) # label(t52_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9804 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v1_funct_2(D,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(D,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(D) -> (all E (m2_relset_1(E,u2_cat_1(B),u2_cat_1(C)) & v1_funct_2(E,u2_cat_1(B),u2_cat_1(C)) & v1_funct_1(E) -> k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(k2_oppcat_1(C)),D,k9_oppcat_1(B,C,E)) = k9_oppcat_1(A,C,k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E)))))))))))) # label(t54_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9805 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,k2_oppcat_1(A),B) -> m1_oppcat_1(k7_oppcat_1(A,B,C),A,B))))))) # label(t35_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9806 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> (all C (m1_subset_1(C,u2_cat_1(k2_oppcat_1(A))) -> (k2_cat_1(k2_oppcat_1(A),C) = k3_cat_1(k2_oppcat_1(A),B) -> k4_cat_1(A,k6_oppcat_1(A,C),k6_oppcat_1(A,B)) = k6_oppcat_1(A,k4_cat_1(k2_oppcat_1(A),B,C))))))))) # label(t19_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9807 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> -(k6_cat_1(A,B,C) != k1_xboole_0 & k5_oppcat_1(A,k9_cat_1(A,B,C,D,E,F)) != k4_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,F),k5_oppcat_1(A,E)) & k6_cat_1(A,C,D) != k1_xboole_0))))))))))))) # label(t20_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9808 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) -> (all D (m2_relset_1(D,u2_cat_1(A),u2_cat_1(k2_oppcat_1(B))) & v1_funct_2(D,u2_cat_1(A),u2_cat_1(k2_oppcat_1(B))) & v1_funct_1(D) -> ((all E (m1_subset_1(E,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(k2_oppcat_1(B)),D,E) = k5_oppcat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)))) <-> k9_oppcat_1(A,B,C) = D))))))))) # label(d9_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9809 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_relset_1(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,u2_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),k7_oppcat_1(A,B,C),k6_oppcat_1(A,D)) = k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B),C,D))))))))) # label(t28_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9810 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) = k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k2_cat_1(A,D)) & k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k3_cat_1(A,D)) = k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)))))))))) # label(t33_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9811 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> k6_oppcat_1(A,B) = k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(A),k11_oppcat_1(A),B))))) # label(t68_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9812 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> B = k6_oppcat_1(A,k5_oppcat_1(A,B)))))) # label(t7_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9813 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m1_oppcat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> m1_oppcat_1(k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E),A,C))))))))))) # label(t60_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9814 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (v7_cat_1(B,A) <-> v6_cat_1(k3_oppcat_1(A,B),k2_oppcat_1(A))))))) # label(t26_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9815 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(k2_oppcat_1(B)),k12_cat_1(k2_oppcat_1(A),k2_oppcat_1(B),k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C))),k3_oppcat_1(A,D)) = k3_oppcat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)))))))))) # label(t63_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9816 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),k3_oppcat_1(A,D)))))))))) # label(t45_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9817 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k3_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,C)) = k2_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)) -> k4_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,C),k5_oppcat_1(A,B)) = k5_oppcat_1(A,k4_cat_1(A,B,C))))))))) # label(t18_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9818 (all A all B (l1_cat_1(A) & m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) & v2_cat_1(A) -> m1_subset_1(k4_oppcat_1(A,B),u1_cat_1(A)))) # label(dt_k4_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9819 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> B = k5_oppcat_1(A,k6_oppcat_1(A,B)))))) # label(t8_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9820 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k10_cat_1(k2_oppcat_1(A),k3_oppcat_1(A,B)) = k5_oppcat_1(A,k10_cat_1(A,B)))))) # label(t21_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9821 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> k3_oppcat_1(k2_oppcat_1(A),B) = k4_oppcat_1(A,B))))) # label(d3_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9822 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> m2_cat_1(k8_oppcat_1(A,B,C),k2_oppcat_1(A),B))))))) # label(t56_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9823 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k2_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)) = k3_oppcat_1(A,k3_cat_1(A,B)) & k3_cat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)) = k3_oppcat_1(A,k2_cat_1(A,B)))))) # label(t11_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9824 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)))))))))) # label(t32_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9825 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k3_oppcat_1(A,B) = B)))) # label(d2_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9826 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (v4_cat_1(B,A) <-> v3_cat_1(k5_oppcat_1(A,B),k2_oppcat_1(A))))))) # label(t23_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9827 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(C) -> k8_oppcat_1(A,k2_oppcat_1(B),k9_oppcat_1(A,B,C)) = k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)))))))) # label(t50_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9828 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(k2_oppcat_1(A))) -> k4_oppcat_1(A,B) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(A),k12_cat_1(k2_oppcat_1(A),A,k11_oppcat_1(A)),B))))) # label(t69_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9829 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,k2_oppcat_1(A),B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,k7_oppcat_1(A,B,C)),D) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,C),k3_oppcat_1(A,D)))))))))) # label(t37_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9830 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k5_oppcat_1(k2_oppcat_1(A),k5_oppcat_1(A,B)) = B)))) # label(t6_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9831 (all A all B all C (v2_cat_1(A) & v1_funct_1(C) & m1_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> v1_funct_2(k8_oppcat_1(A,B,C),u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & m2_relset_1(k8_oppcat_1(A,B,C),u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_1(k8_oppcat_1(A,B,C)))) # label(dt_k8_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9832 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(D,u2_cat_1(A),u2_cat_1(B)) -> (all E (v1_funct_1(E) & v1_funct_2(E,u2_cat_1(B),u2_cat_1(C)) & m2_relset_1(E,u2_cat_1(B),u2_cat_1(C)) -> k7_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B),u2_cat_1(C),k8_oppcat_1(A,B,D),E) = k8_oppcat_1(A,C,k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E)))))))))))) # label(t53_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9833 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(D,u2_cat_1(A),u2_cat_1(B)) -> (all E (v1_funct_2(E,u2_cat_1(B),u2_cat_1(C)) & m2_relset_1(E,u2_cat_1(B),u2_cat_1(C)) & v1_funct_1(E) -> k9_oppcat_1(k2_oppcat_1(A),C,k8_oppcat_1(A,C,k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E))) = k7_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(k2_oppcat_1(B)),u2_cat_1(k2_oppcat_1(C)),k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,D)),k9_oppcat_1(k2_oppcat_1(B),C,k8_oppcat_1(B,C,E))))))))))))) # label(t55_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9834 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & v1_funct_1(C) & m1_relset_1(C,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & l1_cat_1(B) -> v1_funct_1(k9_oppcat_1(A,B,C)) & v1_funct_2(k9_oppcat_1(A,B,C),u2_cat_1(A),u2_cat_1(k2_oppcat_1(B))) & m2_relset_1(k9_oppcat_1(A,B,C),u2_cat_1(A),u2_cat_1(k2_oppcat_1(B))))) # label(dt_k9_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9835 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),k3_oppcat_1(A,D)))))))))) # label(t42_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9836 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k3_oppcat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(k2_oppcat_1(B)),k12_cat_1(k2_oppcat_1(A),k2_oppcat_1(B),k9_oppcat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C))),k3_oppcat_1(A,D)))))))))) # label(t62_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9837 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> k4_oppcat_1(A,k2_cat_1(k2_oppcat_1(A),B)) = k3_cat_1(A,k6_oppcat_1(A,B)) & k4_oppcat_1(A,k3_cat_1(k2_oppcat_1(A),B)) = k2_cat_1(A,k6_oppcat_1(A,B)))))) # label(t12_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9838 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> m2_cat_1(k9_oppcat_1(A,B,C),A,k2_oppcat_1(B)))))))) # label(t57_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9839 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(k2_oppcat_1(A))) -> k5_oppcat_1(k2_oppcat_1(A),B) = k6_oppcat_1(A,B))))) # label(d5_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9840 (all A (l1_cat_1(A) & v2_cat_1(A) -> l1_cat_1(g1_cat_1(u1_cat_1(A),u2_cat_1(A),u4_cat_1(A),u3_cat_1(A),k1_oppcat_1(u2_cat_1(A),u2_cat_1(A),u2_cat_1(A),u5_cat_1(A)),u6_cat_1(A))) & v2_cat_1(g1_cat_1(u1_cat_1(A),u2_cat_1(A),u4_cat_1(A),u3_cat_1(A),k1_oppcat_1(u2_cat_1(A),u2_cat_1(A),u2_cat_1(A),u5_cat_1(A)),u6_cat_1(A))))) # label(t1_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9841 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> k3_oppcat_1(B,k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),D)) = k8_funct_2(u1_cat_1(A),u1_cat_1(k2_oppcat_1(B)),k12_cat_1(A,k2_oppcat_1(B),k9_oppcat_1(A,B,C)),D))))))))) # label(t43_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9842 (all A all B (m1_subset_1(B,u2_cat_1(A)) & l1_cat_1(A) & v2_cat_1(A) -> m1_subset_1(k5_oppcat_1(A,B),u2_cat_1(k2_oppcat_1(A))))) # label(dt_k5_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9843 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (v4_cat_1(k5_oppcat_1(A,B),k2_oppcat_1(A)) <-> v3_cat_1(B,A)))))) # label(t24_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9844 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_2(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) -> (all D (m2_relset_1(D,u2_cat_1(A),u2_cat_1(B)) & v1_funct_2(D,u2_cat_1(A),u2_cat_1(B)) & v1_funct_1(D) -> ((all E (m1_subset_1(E,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B),C,k5_oppcat_1(A,E)) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),D,E))) <-> D = k7_oppcat_1(A,B,C)))))))))) # label(d6_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9845 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (v5_cat_1(B,A) <-> v5_cat_1(k5_oppcat_1(A,B),k2_oppcat_1(A))))))) # label(t25_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9846 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,k2_oppcat_1(A),B) -> m2_cat_1(k7_oppcat_1(A,B,C),A,B))))))) # label(t39_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9847 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_oppcat_1(C,A,B) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k3_cat_1(A,D) = k2_cat_1(A,E) -> k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) = k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))))))))))))) # label(t34_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9848 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) -> m1_subset_1(k3_oppcat_1(A,B),u1_cat_1(k2_oppcat_1(A))))) # label(dt_k3_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9849 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m1_oppcat_1(D,A,B) -> (all E (m1_oppcat_1(E,B,C) -> m2_cat_1(k7_funct_2(u2_cat_1(A),u2_cat_1(B),u2_cat_1(C),D,E),A,C))))))))))) # label(t36_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9850 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> B = k5_oppcat_1(A,B))))) # label(d4_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9851 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(k2_oppcat_1(A))) -> k8_funct_2(u1_cat_1(A),u1_cat_1(B),k12_cat_1(A,B,C),k4_oppcat_1(A,D)) = k8_funct_2(u1_cat_1(k2_oppcat_1(A)),u1_cat_1(B),k12_cat_1(k2_oppcat_1(A),B,k8_oppcat_1(A,B,C)),D))))))))) # label(t41_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9852 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> B = k3_oppcat_1(k2_oppcat_1(A),k3_oppcat_1(A,B)))))) # label(t3_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9853 (all A all B all C (l1_cat_1(A) & v2_cat_1(B) & v1_funct_2(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & m1_relset_1(C,u2_cat_1(k2_oppcat_1(A)),u2_cat_1(B)) & v1_funct_1(C) & l1_cat_1(B) & v2_cat_1(A) -> v1_funct_1(k7_oppcat_1(A,B,C)) & v1_funct_2(k7_oppcat_1(A,B,C),u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(k7_oppcat_1(A,B,C),u2_cat_1(A),u2_cat_1(B)))) # label(dt_k7_oppcat_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9854 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> u1_struct_0(A) = k3_relat_1(k9_filter_1(A)) & k2_relat_1(k9_filter_1(A)) = u1_struct_0(A) & u1_struct_0(A) = k1_relat_1(k9_filter_1(A)))) # label(t33_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9855 (all A all B all C (m1_filter_0(C,A) & m1_filter_0(B,A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_filter_0(k1_filter_1(A,B,C),A))) # label(dt_k1_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9856 (all A (v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> -v3_struct_0(k5_filter_1(A,B)) & l3_lattices(k5_filter_1(A,B)) & v17_lattices(k5_filter_1(A,B)) & v10_lattices(k5_filter_1(A,B)))))) # label(t21_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9857 (all A all B (-v3_struct_0(A) & l3_lattices(A) & -v3_struct_0(B) & l3_lattices(B) -> l3_lattices(k8_filter_1(A,B)) & v3_lattices(k8_filter_1(A,B)))) # label(dt_k8_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9858 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k9_filter_0(A,B,C) = k9_filter_0(A,B,D) -> C = D))))))))) # label(t53_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9859 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (all D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m2_relset_1(D,k2_zfmisc_1(A,A),A) -> (all E (m2_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) -> (r5_binop_1(B,E,F) & r5_binop_1(A,C,D) <-> r5_binop_1(k2_zfmisc_1(A,B),k7_filter_1(A,B,C,E),k7_filter_1(A,B,D,F))))))))))))))) # label(t29_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9860 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (all E (m2_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & v1_funct_1(E) -> (all F (m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & v1_funct_1(F) -> (r6_binop_1(A,C,D) & r6_binop_1(B,E,F) <-> r6_binop_1(k2_zfmisc_1(A,B),k7_filter_1(A,B,C,E),k7_filter_1(A,B,D,F))))))))))))))) # label(t30_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9861 (all A all B all C (m1_filter_0(C,A) & m1_filter_0(B,A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k1_filter_1(A,B,B) = B)) # label(idempotence_k1_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9862 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (v10_lattices(k8_filter_1(A,B)) & v16_lattices(k8_filter_1(A,B)) & l3_lattices(k8_filter_1(A,B)) & v15_lattices(k8_filter_1(A,B)) & -v3_struct_0(k8_filter_1(A,B)) <-> -v3_struct_0(A) & l3_lattices(A) & l3_lattices(B) & v16_lattices(B) & v15_lattices(B) & v10_lattices(B) & -v3_struct_0(B) & v16_lattices(A) & v15_lattices(A) & v10_lattices(A)))))) # label(t46_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9863 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> (all C (m2_filter_1(C,A,B) -> (all D (m2_filter_1(D,A,B) -> (r5_binop_1(A,C,D) -> r5_binop_1(k8_eqrel_1(A,B),k4_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t10_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9864 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> k1_lattice2(k8_filter_1(A,B)) = k8_filter_1(k1_lattice2(A),k1_lattice2(B)))))) # label(t49_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9865 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & -v3_struct_0(B) -> k8_filter_1(A,B) = g3_lattices(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k7_filter_1(u1_struct_0(A),u1_struct_0(B),u2_lattices(A),u2_lattices(B)),k7_filter_1(u1_struct_0(A),u1_struct_0(B),u1_lattices(A),u1_lattices(B))))))) # label(d7_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9866 (all A all B (m1_filter_0(B,A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(k5_filter_1(A,B)) & l3_lattices(k5_filter_1(A,B)) & v10_lattices(k5_filter_1(A,B)) & v3_lattices(k5_filter_1(A,B)))) # label(dt_k5_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9867 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-v3_struct_0(A) & l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) -> (all D (m1_subset_1(D,u1_struct_0(k5_filter_1(A,B))) -> ((all E (v8_relat_2(E) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(A)) & v1_partfun1(E,u1_struct_0(A),u1_struct_0(A)) & v3_relat_2(E) -> (k10_filter_0(A,B) = E -> D = k2_filter_1(u1_struct_0(A),E,C)))) <-> k6_filter_1(A,B,C) = D)))))))))) # label(d6_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9868 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (all C (m2_filter_1(C,A,B) -> (v2_binop_1(C,A) -> v2_binop_1(k4_filter_1(A,B,C),k8_eqrel_1(A,B))))))))) # label(t5_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9869 (all A all B all C all D (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v10_lattices(B) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,u1_struct_0(A)) & l3_lattices(B) & -v3_struct_0(B) -> k10_filter_1(A,B,C,D) = k4_tarski(C,D))) # label(redefinition_k10_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9870 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (v12_lattices(A) & v12_lattices(B) <-> v12_lattices(k8_filter_1(A,B))))))) # label(t38_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9871 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all C (v3_lattices(C) & l3_lattices(C) & v10_lattices(C) & -v3_struct_0(C) -> ((all D (v3_relat_2(D) & v8_relat_2(D) & v1_partfun1(D,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(A)) -> (D = k10_filter_0(A,B) -> g3_lattices(k8_eqrel_1(u1_struct_0(A),D),k4_filter_1(u1_struct_0(A),D,u2_lattices(A)),k4_filter_1(u1_struct_0(A),D,u1_lattices(A))) = C))) <-> C = k5_filter_1(A,B))))))))) # label(d5_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.94 9872 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> (all C (m1_subset_1(C,A) -> (all D (m2_filter_1(D,A,B) -> (r2_binop_1(A,C,D) -> r2_binop_1(k8_eqrel_1(A,B),k2_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t7_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9873 (all A (v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_lattices(k5_filter_1(A,B),k6_filter_1(A,B,C),k6_filter_1(A,B,D)) = k6_filter_1(A,B,k4_lattices(A,C,D)) & k6_filter_1(A,B,k3_lattices(A,C,D)) = k3_lattices(k5_filter_1(A,B),k6_filter_1(A,B,C),k6_filter_1(A,B,D)))))))))) # label(t15_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9874 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (v15_lattices(k8_filter_1(A,B)) <-> v15_lattices(B) & v15_lattices(A)))))) # label(t42_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9875 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (r4_wellord1(k9_filter_1(A),k9_filter_1(B)) <-> r1_filter_1(A,B)))))) # label(d9_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9876 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,k4_lattices(A,B,C),k4_lattices(A,k7_lattices(A,B),k7_lattices(A,C))) = k9_filter_0(A,B,C))))))) # label(t51_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9877 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> m1_filter_0(k5_subset_1(u1_struct_0(A),B,C),A))))))) # label(t1_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9878 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (m2_filter_1(C,A,B) -> (all D (m2_relset_1(D,k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)) & v1_funct_2(D,k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)) & v1_funct_1(D) -> ((all E all F all G all H (r2_hidden(E,k8_eqrel_1(A,B)) & r2_hidden(G,E) & r2_hidden(H,F) & r2_hidden(F,k8_eqrel_1(A,B)) -> k6_eqrel_1(A,B,k1_binop_1(C,G,H)) = k1_binop_1(D,E,F))) <-> k4_filter_1(A,B,C) = D)))))))))) # label(d4_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9879 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (all D (m2_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) -> (v1_binop_1(k7_filter_1(A,B,C,D),k2_zfmisc_1(A,B)) <-> v1_binop_1(D,B) & v1_binop_1(C,A)))))))))) # label(t23_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9880 (all A (l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> r3_lattices(A,k4_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,B,D)),k4_filter_0(A,B,k4_lattices(A,C,D))))))))))) # label(t58_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9881 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (all C (m2_filter_1(C,A,B) -> (all D (m2_filter_1(D,A,B) -> (r4_binop_1(A,C,D) -> r4_binop_1(k8_eqrel_1(A,B),k4_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t9_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9882 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (-v3_struct_0(A) & v15_lattices(A) & -v3_struct_0(B) & l3_lattices(B) & v15_lattices(B) & v10_lattices(B) & l3_lattices(A) & v10_lattices(A) -> (r2_lattices(k8_filter_1(A,B),k10_filter_1(A,B,C,E),k10_filter_1(A,B,D,F)) <-> r2_lattices(A,C,D) & r2_lattices(B,E,F))))))))))))))) # label(t45_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9883 (all A (l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_filter_0(A,B,k4_filter_0(A,C,D)) = k4_filter_0(A,k4_lattices(A,B,C),D))))))))) # label(t17_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9884 (all A (m1_subset_1(A,f1_s4_filter_1) -> (all B (m1_subset_1(B,f2_s4_filter_1) -> p1_s4_filter_1(k1_domain_1(f1_s4_filter_1,f2_s4_filter_1,A,B)))))) -> (all A (m1_subset_1(A,k2_zfmisc_1(f1_s4_filter_1,f2_s4_filter_1)) -> p1_s4_filter_1(A))) # label(s4_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9885 (all A all B (-v1_xboole_0(A) & v1_relat_1(B) -> (exists C m1_filter_1(C,A,B)))) # label(existence_m1_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9886 (all A (m1_subset_1(A,f1_s5_filter_1) -> (all B (m1_subset_1(B,f1_s5_filter_1) -> (all C (m1_subset_1(C,f2_s5_filter_1) -> (all D (m1_subset_1(D,f2_s5_filter_1) -> p1_s5_filter_1(k1_domain_1(f1_s5_filter_1,f2_s5_filter_1,A,C),k1_domain_1(f1_s5_filter_1,f2_s5_filter_1,B,D)))))))))) -> (all A (m1_subset_1(A,k2_zfmisc_1(f1_s5_filter_1,f2_s5_filter_1)) -> (all B (m1_subset_1(B,k2_zfmisc_1(f1_s5_filter_1,f2_s5_filter_1)) -> p1_s5_filter_1(A,B))))) # label(s5_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9887 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> (r2_hidden(k9_filter_0(A,E,F),B) & r2_hidden(k9_filter_0(A,C,D),B) -> r2_hidden(k9_filter_0(A,k4_lattices(A,C,E),k4_lattices(A,D,F)),B) & r2_hidden(k9_filter_0(A,k3_lattices(A,C,E),k3_lattices(A,D,F)),B)))))))))))))) # label(t59_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9888 (all A (-v3_struct_0(A) & v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k4_filter_0(A,C,B) = k4_filter_0(A,k3_lattices(A,B,C),B) & k4_filter_0(A,B,C) = k4_filter_0(A,B,k4_lattices(A,B,C)))))))) # label(t55_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9889 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> k10_filter_1(A,B,k3_lattices(A,C,D),k3_lattices(B,E,F)) = k3_lattices(k8_filter_1(A,B),k10_filter_1(A,B,C,E),k10_filter_1(A,B,D,F)) & k4_lattices(k8_filter_1(A,B),k10_filter_1(A,B,C,E),k10_filter_1(A,B,D,F)) = k10_filter_1(A,B,k4_lattices(A,C,D),k4_lattices(B,E,F)))))))))))))) # label(t36_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9890 (all A all B all C (-v1_xboole_0(A) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v1_funct_2(C,A,A) & m1_relset_1(C,A,A) & v1_funct_1(C) & v8_relat_2(B) & v3_relat_2(B) -> v1_funct_1(k3_filter_1(A,B,C)) & v1_funct_2(k3_filter_1(A,B,C),k8_eqrel_1(A,B),k8_eqrel_1(A,B)) & m2_relset_1(k3_filter_1(A,B,C),k8_eqrel_1(A,B),k8_eqrel_1(A,B)))) # label(dt_k3_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9891 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> r1_filter_1(k8_filter_1(A,B),k8_filter_1(B,A)))))) # label(t50_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9892 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) -> (l3_lattices(k8_filter_1(A,B)) & v10_lattices(k8_filter_1(A,B)) & -v3_struct_0(k8_filter_1(A,B)) -> v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A)))))) # label(t35_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9893 (all A all B all C all D (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) -> v1_funct_1(k7_filter_1(A,B,C,D)) & v1_funct_2(k7_filter_1(A,B,C,D),k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)) & m2_relset_1(k7_filter_1(A,B,C,D),k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)))) # label(dt_k7_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9894 (all A (m1_subset_1(A,f1_s1_filter_1) -> p1_s1_filter_1(k2_filter_1(f1_s1_filter_1,f2_s1_filter_1,A)))) -> (all A (m2_subset_1(A,k1_zfmisc_1(f1_s1_filter_1),k8_eqrel_1(f1_s1_filter_1,f2_s1_filter_1)) -> p1_s1_filter_1(A))) # label(s1_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9895 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_filter_1(A,k8_filter_1(k5_filter_1(A,k2_filter_0(A,B)),k8_filter_0(A,k2_filter_0(A,B)))))))) # label(t62_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9896 (all A (-v1_xboole_0(A) -> (all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C (m2_filter_1(C,A,B) -> (all D (m2_filter_1(D,A,B) -> (r6_binop_1(A,C,D) -> r6_binop_1(k8_eqrel_1(A,B),k4_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t11_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9897 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (v14_lattices(A) & v14_lattices(B) <-> v14_lattices(k8_filter_1(A,B))))))) # label(t41_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9898 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k9_filter_0(A,B,k9_filter_0(A,B,C)) = C)))))) # label(t54_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9899 (all A all B (-v3_struct_0(A) & v10_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & l3_lattices(A) -> r1_filter_1(A,A))) # label(reflexivity_r1_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9900 (all A (v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> v3_filter_0(k5_filter_1(A,B)))))) # label(t20_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9901 (all A (-v1_xboole_0(A) -> (all B (v1_relat_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) -> (m2_filter_1(C,A,B) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,A) -> (r2_hidden(k1_domain_1(A,A,D,E),B) & r2_hidden(k1_domain_1(A,A,F,G),B) -> r2_hidden(k1_domain_1(A,A,k2_binop_1(A,A,A,C,D,F),k2_binop_1(A,A,A,C,E,G)),B))))))))))))))))) # label(d2_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9902 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C),k9_filter_1(A)) <-> r3_lattices(A,B,C)))))))) # label(t32_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9903 (all A all B all C (-v3_struct_0(A) & m1_subset_1(C,u1_struct_0(A)) & m1_filter_0(B,A) & l3_lattices(A) & v10_lattices(A) -> m1_subset_1(k6_filter_1(A,B,C),u1_struct_0(k5_filter_1(A,B))))) # label(dt_k6_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9904 (all A all B (v1_relat_1(B) & -v1_xboole_0(A) -> (exists C m2_filter_1(C,A,B)))) # label(existence_m2_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9905 (all A all B all C all D (v10_lattices(A) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & v10_lattices(B) & -v3_struct_0(B) & l3_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k10_filter_1(A,B,C,D),u1_struct_0(k8_filter_1(A,B))))) # label(dt_k10_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9906 (all A all B (v10_lattices(A) & v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) & l3_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(k8_filter_1(A,B)) & v3_lattices(k8_filter_1(A,B)) & v5_lattices(k8_filter_1(A,B)) & v6_lattices(k8_filter_1(A,B)) & v7_lattices(k8_filter_1(A,B)) & v8_lattices(k8_filter_1(A,B)) & v10_lattices(k8_filter_1(A,B)) & v9_lattices(k8_filter_1(A,B)) & v4_lattices(k8_filter_1(A,B)))) # label(fc3_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9907 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m2_filter_1(E,A,B) -> k2_filter_1(A,B,k2_binop_1(A,A,A,E,C,D)) = k2_binop_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B),k8_eqrel_1(A,B),k4_filter_1(A,B,E),k2_filter_1(A,B,C),k2_filter_1(A,B,D)))))))))))) # label(t3_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9908 (all A (-v3_struct_0(A) & v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> -v3_struct_0(k5_filter_1(A,B)) & v10_lattices(k5_filter_1(A,B)) & v14_lattices(k5_filter_1(A,B)) & l3_lattices(k5_filter_1(A,B)) & k6_filter_1(A,B,k6_lattices(A)) = k6_lattices(k5_filter_1(A,B)))))) # label(t19_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9909 (all A (-v1_xboole_0(A) -> (all B (v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> (all C (m1_subset_1(C,A) -> (all D (m2_filter_1(D,A,B) -> (r1_binop_1(A,C,D) -> r1_binop_1(k8_eqrel_1(A,B),k2_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t6_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9910 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (v1_funct_2(D,k2_zfmisc_1(B,B),B) & m2_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) -> (v2_binop_1(k7_filter_1(A,B,C,D),k2_zfmisc_1(A,B)) <-> v2_binop_1(D,B) & v2_binop_1(C,A)))))))))) # label(t24_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9911 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,k2_filter_1(u1_struct_0(A),k12_filter_0(A,k2_filter_0(A,C)),B)) -> r3_lattices(A,D,k3_lattices(A,B,k9_filter_0(A,B,C)))))) & r2_hidden(k3_lattices(A,B,k9_filter_0(A,B,C)),k2_filter_1(u1_struct_0(A),k12_filter_0(A,k2_filter_0(A,C)),B)))))))) # label(t61_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9912 (all A (l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (v13_lattices(A) -> v13_lattices(k5_filter_1(A,B)) & l3_lattices(k5_filter_1(A,B)) & k6_filter_1(A,B,k5_lattices(A)) = k5_lattices(k5_filter_1(A,B)) & v10_lattices(k5_filter_1(A,B)) & -v3_struct_0(k5_filter_1(A,B))))))) # label(t18_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9913 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (r3_lattices(k8_filter_1(A,B),k10_filter_1(A,B,C,E),k10_filter_1(A,B,D,F)) <-> r3_lattices(A,C,D) & r3_lattices(B,E,F)))))))))))))) # label(t37_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9914 (all A (v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(k4_filter_0(A,C,D),B) <-> r3_lattices(k5_filter_1(A,B),k6_filter_1(A,B,C),k6_filter_1(A,B,D))))))))))) # label(t16_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9915 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,B) -> (all E (v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & m2_relset_1(E,k2_zfmisc_1(A,A),A) -> (all F (m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & v1_funct_1(F) -> (r3_binop_1(k2_zfmisc_1(A,B),k1_domain_1(A,B,C,D),k7_filter_1(A,B,E,F)) <-> r3_binop_1(B,D,F) & r3_binop_1(A,C,E)))))))))))))) # label(t27_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9916 (all A (-v3_struct_0(A) & v10_lattices(A) & v3_filter_0(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> r3_lattices(A,k4_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,D,C)),k4_filter_0(A,k3_lattices(A,B,D),C)))))))))) # label(t57_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9917 (all A all B (-v1_xboole_0(A) & v1_relat_1(B) -> (all C (m2_filter_1(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A))))) # label(dt_m2_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9918 (all A all B all C (-v1_xboole_0(A) & m1_relset_1(B,A,A) & m1_subset_1(C,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> k6_eqrel_1(A,B,C) = k2_filter_1(A,B,C))) # label(redefinition_k2_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9919 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (-v3_struct_0(A) & v13_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & v13_lattices(B) & l3_lattices(B) & l3_lattices(A) & v10_lattices(A) -> k10_filter_1(A,B,k5_lattices(A),k5_lattices(B)) = k5_lattices(k8_filter_1(A,B))))))) # label(t43_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9920 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,B) -> (all E (m2_relset_1(E,k2_zfmisc_1(A,A),A) & v1_funct_2(E,k2_zfmisc_1(A,A),A) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) -> (r2_binop_1(B,D,F) & r2_binop_1(A,C,E) <-> r2_binop_1(k2_zfmisc_1(A,B),k1_domain_1(A,B,C,D),k7_filter_1(A,B,E,F))))))))))))))) # label(t26_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9921 (all A (l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> m2_filter_1(u2_lattices(A),u1_struct_0(A),k11_filter_0(A,B)))))) # label(t13_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9922 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (v1_funct_2(D,k2_zfmisc_1(A,A),A) & m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_2(E,k2_zfmisc_1(B,B),B) -> (all F (v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_1(F) -> (r4_binop_1(B,E,F) & r4_binop_1(A,C,D) <-> r4_binop_1(k2_zfmisc_1(A,B),k7_filter_1(A,B,C,E),k7_filter_1(A,B,D,F))))))))))))))) # label(t28_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9923 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (v13_lattices(k8_filter_1(A,B)) <-> v13_lattices(B) & v13_lattices(A)))))) # label(t40_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9924 (all A all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v3_relat_2(B) & -v1_xboole_0(A) -> -v1_xboole_0(k7_eqrel_1(A,B)))) # label(fc1_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9925 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (-v3_struct_0(C) & l3_lattices(C) & v10_lattices(C) -> (r1_filter_1(B,C) & r1_filter_1(A,B) -> r1_filter_1(A,C)))))))) # label(t34_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9926 (all A (m1_subset_1(A,f1_s3_filter_1) -> (all B (m1_subset_1(B,f1_s3_filter_1) -> (all C (m1_subset_1(C,f1_s3_filter_1) -> p1_s3_filter_1(k2_filter_1(f1_s3_filter_1,f2_s3_filter_1,A),k2_filter_1(f1_s3_filter_1,f2_s3_filter_1,B),k2_filter_1(f1_s3_filter_1,f2_s3_filter_1,C)))))))) -> (all A (m2_subset_1(A,k1_zfmisc_1(f1_s3_filter_1),k8_eqrel_1(f1_s3_filter_1,f2_s3_filter_1)) -> (all B (m2_subset_1(B,k1_zfmisc_1(f1_s3_filter_1),k8_eqrel_1(f1_s3_filter_1,f2_s3_filter_1)) -> (all C (m2_subset_1(C,k1_zfmisc_1(f1_s3_filter_1),k8_eqrel_1(f1_s3_filter_1,f2_s3_filter_1)) -> p1_s3_filter_1(A,B,C))))))) # label(s3_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9927 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v17_lattices(B) & -v3_struct_0(A) <-> v17_lattices(k8_filter_1(A,B)) & l3_lattices(k8_filter_1(A,B)) & v10_lattices(k8_filter_1(A,B)) & -v3_struct_0(k8_filter_1(A,B))))))) # label(t47_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9928 (all A all B (-v3_struct_0(A) & -v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) & l3_lattices(A) & v10_lattices(A) -> (r1_filter_1(A,B) -> r1_filter_1(B,A)))) # label(symmetry_r1_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9929 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k4_lattices(A,B,k7_lattices(A,C)) = k7_lattices(A,k4_filter_0(A,B,C)) & k9_filter_0(A,B,k7_lattices(A,C)) = k7_lattices(A,k9_filter_0(A,B,C)) & k7_lattices(A,k9_filter_0(A,B,C)) = k9_filter_0(A,k7_lattices(A,B),C) & k7_lattices(A,k9_filter_0(A,B,C)) = k3_lattices(A,k4_lattices(A,B,k7_lattices(A,C)),k4_lattices(A,k7_lattices(A,B),C)))))))) # label(t52_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9930 (all A (-v1_xboole_0(A) -> (all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C (m2_filter_1(C,A,B) -> (v1_binop_1(C,A) -> v1_binop_1(k4_filter_1(A,B,C),k8_eqrel_1(A,B))))))))) # label(t4_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9931 (all A all B all C (v3_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v8_relat_2(B) & -v1_xboole_0(A) -> v1_funct_1(k4_filter_1(A,B,C)) & v1_funct_2(k4_filter_1(A,B,C),k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)) & m2_relset_1(k4_filter_1(A,B,C),k2_zfmisc_1(k8_eqrel_1(A,B),k8_eqrel_1(A,B)),k8_eqrel_1(A,B)))) # label(dt_k4_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9932 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (all E (m2_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & v1_funct_1(E) -> (all F (v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_1(F) -> (r1_lattice2(k2_zfmisc_1(A,B),k7_filter_1(A,B,C,E),k7_filter_1(A,B,D,F)) <-> r1_lattice2(B,E,F) & r1_lattice2(A,C,D)))))))))))))) # label(t31_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9933 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) -> (all B (m1_filter_0(B,A) -> m2_filter_1(u1_lattices(A),u1_struct_0(A),k11_filter_0(A,B)))))) # label(t14_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9934 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (v3_filter_0(B) & v3_filter_0(A) <-> v3_filter_0(k8_filter_1(A,B))))))) # label(t48_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9935 (all A (-v1_xboole_0(A) -> (all B (v8_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v3_relat_2(B) -> (all C (m1_subset_1(C,A) -> (all D (m2_filter_1(D,A,B) -> (r3_binop_1(A,C,D) -> r3_binop_1(k8_eqrel_1(A,B),k2_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t8_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9936 (all A (v10_lattices(A) & l3_lattices(A) & v3_filter_0(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r2_hidden(C,k2_filter_1(u1_struct_0(A),k11_filter_0(A,B),D)) & r2_hidden(E,k2_filter_1(u1_struct_0(A),k11_filter_0(A,B),D)) -> r2_hidden(k3_lattices(A,C,E),k2_filter_1(u1_struct_0(A),k11_filter_0(A,B),D)) & r2_hidden(k4_lattices(A,C,E),k2_filter_1(u1_struct_0(A),k11_filter_0(A,B),D))))))))))))) # label(t60_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9937 (all A all B all C (v10_lattices(A) & l3_lattices(A) & m1_filter_0(C,A) & m1_filter_0(B,A) & -v3_struct_0(A) -> k1_filter_1(A,C,B) = k1_filter_1(A,B,C))) # label(commutativity_k1_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9938 (all A (-v1_xboole_0(A) -> (all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> (all C (v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & v1_funct_1(C) -> (m1_filter_1(C,A,B) -> (all D (v1_funct_2(D,k8_eqrel_1(A,B),k8_eqrel_1(A,B)) & m2_relset_1(D,k8_eqrel_1(A,B),k8_eqrel_1(A,B)) & v1_funct_1(D) -> (k3_filter_1(A,B,C) = D <-> (all E all F (r2_hidden(F,E) & r2_hidden(E,k8_eqrel_1(A,B)) -> k1_funct_1(D,E) = k6_eqrel_1(A,B,k1_funct_1(C,F)))))))))))))) # label(d3_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9939 (all A (-v1_xboole_0(A) -> (all B (v3_relat_2(B) & m2_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> (all C (m2_filter_1(C,A,B) -> (all D (m2_filter_1(D,A,B) -> (r1_lattice2(A,C,D) -> r1_lattice2(k8_eqrel_1(A,B),k4_filter_1(A,B,C),k4_filter_1(A,B,D))))))))))) # label(t12_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9940 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k2_filter_0(A,B) = k2_filter_0(A,C) -> C = B))))))) # label(t2_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9941 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,B) -> (all G (v1_funct_2(G,k2_zfmisc_1(A,A),A) & m2_relset_1(G,k2_zfmisc_1(A,A),A) & v1_funct_1(G) -> (all H (v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(B,B),B) & m2_relset_1(H,k2_zfmisc_1(B,B),B) -> k1_domain_1(A,B,k2_binop_1(A,A,A,G,C,D),k2_binop_1(B,B,B,H,E,F)) = k2_binop_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B),k2_zfmisc_1(A,B),k7_filter_1(A,B,G,H),k1_domain_1(A,B,C,E),k1_domain_1(A,B,D,F)))))))))))))))))) # label(t22_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9942 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_filter_0(C,A) & m1_filter_0(B,A) -> k1_filter_1(A,B,C) = k3_xboole_0(B,C))) # label(redefinition_k1_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9943 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> a_1_0_filter_1(A) = k9_filter_1(A))) # label(d8_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9944 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,B) -> (all E (v1_funct_2(E,k2_zfmisc_1(A,A),A) & m2_relset_1(E,k2_zfmisc_1(A,A),A) & v1_funct_1(E) -> (all F (m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & v1_funct_1(F) -> (r1_binop_1(B,D,F) & r1_binop_1(A,C,E) <-> r1_binop_1(k2_zfmisc_1(A,B),k1_domain_1(A,B,C,D),k7_filter_1(A,B,E,F))))))))))))))) # label(t25_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9945 (all A all B (-v3_struct_0(A) & l3_lattices(B) & -v3_struct_0(B) & l3_lattices(A) -> -v3_struct_0(k8_filter_1(A,B)) & v3_lattices(k8_filter_1(A,B)))) # label(fc2_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9946 (all A (-v1_xboole_0(A) -> (all B (v1_relat_1(B) -> (all C (v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & v1_funct_1(C) -> ((all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (r2_hidden(k1_domain_1(A,A,D,E),B) -> r2_hidden(k1_domain_1(A,A,k8_funct_2(A,A,C,D),k8_funct_2(A,A,C,E)),B)))))) <-> m1_filter_1(C,A,B)))))))) # label(d1_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9947 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> v1_relat_1(k9_filter_1(A)))) # label(dt_k9_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9948 (all A all B (v1_relat_1(B) & -v1_xboole_0(A) -> (all C (m1_filter_1(C,A,B) -> v1_funct_2(C,A,A) & m2_relset_1(C,A,A) & v1_funct_1(C))))) # label(dt_m1_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9949 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (-v3_struct_0(A) & v10_lattices(A) & v14_lattices(A) & v10_lattices(B) & v14_lattices(B) & l3_lattices(B) & -v3_struct_0(B) & l3_lattices(A) -> k10_filter_1(A,B,k6_lattices(A),k6_lattices(B)) = k6_lattices(k8_filter_1(A,B))))))) # label(t44_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9950 (all A (m1_subset_1(A,f1_s2_filter_1) -> (all B (m1_subset_1(B,f1_s2_filter_1) -> p1_s2_filter_1(k2_filter_1(f1_s2_filter_1,f2_s2_filter_1,A),k2_filter_1(f1_s2_filter_1,f2_s2_filter_1,B)))))) -> (all A (m2_subset_1(A,k1_zfmisc_1(f1_s2_filter_1),k8_eqrel_1(f1_s2_filter_1,f2_s2_filter_1)) -> (all B (m2_subset_1(B,k1_zfmisc_1(f1_s2_filter_1),k8_eqrel_1(f1_s2_filter_1,f2_s2_filter_1)) -> p1_s2_filter_1(A,B))))) # label(s2_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9951 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) & v3_relat_2(B) -> m2_subset_1(k2_filter_1(A,B,C),k1_zfmisc_1(A),k8_eqrel_1(A,B)))) # label(dt_k2_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9952 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m1_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> k3_funct_4(C,D) = k7_filter_1(A,B,C,D))) # label(redefinition_k7_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9953 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (v10_lattices(A) & l3_lattices(B) & v11_lattices(B) & v10_lattices(B) & -v3_struct_0(B) & l3_lattices(A) & v11_lattices(A) & -v3_struct_0(A) <-> l3_lattices(k8_filter_1(A,B)) & v11_lattices(k8_filter_1(A,B)) & v10_lattices(k8_filter_1(A,B)) & -v3_struct_0(k8_filter_1(A,B))))))) # label(t39_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9954 (all A (-v3_struct_0(A) & l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> r3_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,B,k3_lattices(A,C,D))) & r3_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,k4_lattices(A,B,D),C)) & r3_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,B,k3_lattices(A,D,C))) & r3_lattices(A,k4_filter_0(A,B,C),k4_filter_0(A,k4_lattices(A,D,B),C)))))))))) # label(t56_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9955 (all A (m1_subset_1(A,f1_s6_filter_1) -> (all B (m1_subset_1(B,f1_s6_filter_1) -> (all C (m1_subset_1(C,f1_s6_filter_1) -> (all D (m1_subset_1(D,f2_s6_filter_1) -> (all E (m1_subset_1(E,f2_s6_filter_1) -> (all F (m1_subset_1(F,f2_s6_filter_1) -> p1_s6_filter_1(k1_domain_1(f1_s6_filter_1,f2_s6_filter_1,A,D),k1_domain_1(f1_s6_filter_1,f2_s6_filter_1,B,E),k1_domain_1(f1_s6_filter_1,f2_s6_filter_1,C,F)))))))))))))) -> (all A (m1_subset_1(A,k2_zfmisc_1(f1_s6_filter_1,f2_s6_filter_1)) -> (all B (m1_subset_1(B,k2_zfmisc_1(f1_s6_filter_1,f2_s6_filter_1)) -> (all C (m1_subset_1(C,k2_zfmisc_1(f1_s6_filter_1,f2_s6_filter_1)) -> p1_s6_filter_1(A,B,C))))))) # label(s6_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9956 (all A all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_1_0_filter_1(B)) <-> (exists C exists D (m1_subset_1(C,u1_struct_0(B)) & r3_lattices(B,C,D) & k1_domain_1(u1_struct_0(B),u1_struct_0(B),C,D) = A & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_1_0_filter_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9957 $T # label(t20_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9958 $T # label(d1_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9959 $T # label(t6_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9960 $T # label(t59_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9961 $T # label(t27_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9962 $T # label(t14_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9963 $T # label(t38_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9964 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (m2_nat_lat(B,A) <-> r1_tarski(u1_struct_0(B),u1_struct_0(A)) & u2_lattices(B) = k1_realset1(u2_lattices(A),u1_struct_0(B)) & u1_lattices(B) = k1_realset1(u1_lattices(A),u1_struct_0(B))))))) # label(d16_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9965 $T # label(t36_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9966 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> (all C (m1_subset_1(C,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)) = k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,A,C),B) & k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,C,B),A) = k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)) & k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)) = k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,C,A),B) & k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)) = k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,B,A),C))))))) # label(t66_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9967 $T # label(t12_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9968 $T # label(t8_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9969 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> k1_lattices(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat),A,B) = k5_nat_1(k3_nat_lat(A),k3_nat_lat(B)))))) # label(t48_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9970 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> (all C (m1_subset_1(C,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k2_nat_lat,k1_binop_1(k2_nat_lat,C,B),A) = k1_binop_1(k2_nat_lat,A,k1_binop_1(k2_nat_lat,B,C)) & k1_binop_1(k2_nat_lat,k1_binop_1(k2_nat_lat,C,A),B) = k1_binop_1(k2_nat_lat,A,k1_binop_1(k2_nat_lat,B,C)) & k1_binop_1(k2_nat_lat,k1_binop_1(k2_nat_lat,A,C),B) = k1_binop_1(k2_nat_lat,A,k1_binop_1(k2_nat_lat,B,C)) & k1_binop_1(k2_nat_lat,k1_binop_1(k2_nat_lat,B,A),C) = k1_binop_1(k2_nat_lat,A,k1_binop_1(k2_nat_lat,B,C)))))))) # label(t64_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9971 $T # label(t22_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9972 $T # label(t34_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9973 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(B) -> (exists D m1_nat_lat(D,A,B,C)))) # label(existence_m1_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9974 $T # label(t21_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9975 $T # label(t50_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9976 $T # label(t71_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9977 (all A (m1_subset_1(A,k7_nat_lat) -> m1_nat_lat(k9_nat_lat(A),k1_numbers,k5_numbers,k7_nat_lat))) # label(dt_k9_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9978 $T # label(t74_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9979 $T # label(t43_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.95 9980 $T # label(t17_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9981 $T # label(t37_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9982 $T # label(d2_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9983 (all A (m1_subset_1(A,k1_zfmisc_1(k5_numbers)) -> ((all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (-r1_xreal_0(B,np__0) <-> r2_hidden(B,A)))) <-> k7_nat_lat = A))) # label(d9_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9984 $T # label(t3_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9985 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> m1_nat_lat(k12_nat_lat(A),k1_numbers,k5_numbers,k7_nat_lat))) # label(dt_k12_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9986 $T # label(t16_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9987 $T # label(t15_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9988 $T # label(t26_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9989 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> m2_nat_lat(A,A))) # label(t75_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9990 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m2_nat_lat(B,A) -> -v3_struct_0(B) & l3_lattices(B) & v10_lattices(B))))) # label(dt_m2_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9991 $T # label(t25_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9992 $T # label(t51_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9993 $T # label(t57_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9994 $T # label(t54_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9995 $T # label(t11_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9996 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k1_nat_lat,B,A) = k1_binop_1(k1_nat_lat,A,B))))) # label(t62_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9997 $T # label(t42_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9998 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(C) & -v1_xboole_0(B) -> (all D (m1_nat_lat(D,A,B,C) <-> m1_subset_1(D,C))))) # label(redefinition_m1_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 9999 $T # label(t9_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10000 $T # label(t40_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10001 $T # label(t19_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10002 $T # label(t18_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10003 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> A = k1_binop_1(k2_nat_lat,A,k1_binop_1(k1_nat_lat,A,B)) & A = k1_binop_1(k2_nat_lat,A,k1_binop_1(k1_nat_lat,B,A)) & k1_binop_1(k2_nat_lat,k1_binop_1(k1_nat_lat,A,B),A) = A & A = k1_binop_1(k2_nat_lat,k1_binop_1(k1_nat_lat,B,A),A))))) # label(t68_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10004 (all A (m1_nat_lat(A,k1_numbers,k5_numbers,k7_nat_lat) -> A = k9_nat_lat(A))) # label(d11_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10005 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> m2_subset_1(k3_nat_lat(A),k1_numbers,k5_numbers))) # label(dt_k3_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10006 (all A (m2_relset_1(A,k2_zfmisc_1(k7_nat_lat,k7_nat_lat),k7_nat_lat) & v1_funct_2(A,k2_zfmisc_1(k7_nat_lat,k7_nat_lat),k7_nat_lat) & v1_funct_1(A) -> (A = k11_nat_lat <-> (all B (m1_nat_lat(B,k1_numbers,k5_numbers,k7_nat_lat) -> (all C (m1_nat_lat(C,k1_numbers,k5_numbers,k7_nat_lat) -> k2_binop_1(k7_nat_lat,k7_nat_lat,k7_nat_lat,A,B,C) = k5_nat_1(B,C)))))))) # label(d13_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10007 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k2_nat_lat,B,A) = k1_binop_1(k2_nat_lat,A,B))))) # label(t61_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10008 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> (r1_lattices(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat),A,B) -> r1_nat_1(k3_nat_lat(A),k3_nat_lat(B))))))) # label(t52_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10009 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (-r1_xreal_0(A,np__0) -> A = k8_nat_lat(A)))) # label(d10_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10010 $T # label(t32_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10011 $T # label(t46_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10012 $T # label(t13_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10013 $T # label(t72_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10014 (all A (m1_subset_1(A,k1_zfmisc_1(k5_numbers)) -> (all B (m1_subset_1(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B))))) # label(cc2_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10015 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> k2_lattices(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat),A,B) = k6_nat_1(k3_nat_lat(A),k3_nat_lat(B)))))) # label(t49_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10016 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> k12_nat_lat(A) = A)) # label(d14_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10017 (all A (m1_subset_1(A,k1_zfmisc_1(k1_numbers)) -> (all B (m1_subset_1(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B))))) # label(cc1_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10018 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> (all C (m1_subset_1(C,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k2_nat_lat,k1_binop_1(k2_nat_lat,A,B),C) = k1_binop_1(k2_nat_lat,A,k1_binop_1(k2_nat_lat,B,C)))))))) # label(t63_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10019 $T # label(t29_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10020 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> k5_nat_1(k12_nat_lat(A),k12_nat_lat(B)) = k1_lattices(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat),A,B))))) # label(t69_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10021 $T # label(t47_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10022 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> (all C (m1_subset_1(C,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k1_nat_lat,k1_binop_1(k1_nat_lat,A,B),C) = k1_binop_1(k1_nat_lat,A,k1_binop_1(k1_nat_lat,B,C)))))))) # label(t65_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10023 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat))) -> k2_lattices(g3_lattices(k7_nat_lat,k11_nat_lat,k10_nat_lat),A,B) = k6_nat_1(k12_nat_lat(A),k12_nat_lat(B)))))) # label(t70_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10024 $T # label(t1_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10025 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> k2_lattices(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat),A,k4_nat_lat) = k4_nat_lat & k2_lattices(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat),k4_nat_lat,A) = k4_nat_lat)) # label(t56_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10026 $T # label(t53_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10027 (all A (m1_subset_1(A,u1_struct_0(k6_nat_lat)) -> (all B (m1_subset_1(B,u1_struct_0(k6_nat_lat)) -> k1_binop_1(k1_nat_lat,A,k1_binop_1(k2_nat_lat,A,B)) = A & A = k1_binop_1(k1_nat_lat,k1_binop_1(k2_nat_lat,B,A),A) & k1_binop_1(k1_nat_lat,k1_binop_1(k2_nat_lat,A,B),A) = A & A = k1_binop_1(k1_nat_lat,A,k1_binop_1(k2_nat_lat,B,A)))))) # label(t67_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10028 $T # label(t28_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10029 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (exists B m2_nat_lat(B,A)))) # label(existence_m2_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10030 $T # label(t73_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10031 $T # label(t4_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10032 $T # label(t41_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10033 (all A (m1_subset_1(A,u1_struct_0(g3_lattices(k5_numbers,k2_nat_lat,k1_nat_lat))) -> A = k3_nat_lat(A))) # label(d5_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10034 (all A (v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k5_numbers,k5_numbers),k5_numbers) & m2_relset_1(A,k2_zfmisc_1(k5_numbers,k5_numbers),k5_numbers) -> (k2_nat_lat = A <-> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k5_nat_1(B,C) = k2_binop_1(k5_numbers,k5_numbers,k5_numbers,A,B,C)))))))) # label(d4_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10035 (all A (v1_funct_1(A) & v1_funct_2(A,k2_zfmisc_1(k7_nat_lat,k7_nat_lat),k7_nat_lat) & m2_relset_1(A,k2_zfmisc_1(k7_nat_lat,k7_nat_lat),k7_nat_lat) -> ((all B (m1_nat_lat(B,k1_numbers,k5_numbers,k7_nat_lat) -> (all C (m1_nat_lat(C,k1_numbers,k5_numbers,k7_nat_lat) -> k6_nat_1(B,C) = k2_binop_1(k7_nat_lat,k7_nat_lat,k7_nat_lat,A,B,C))))) <-> k10_nat_lat = A))) # label(d12_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10036 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (exists B (m2_nat_lat(B,A) & v3_lattices(B) & v4_lattices(B) & v6_lattices(B) & v9_lattices(B) & v10_lattices(B) & v8_lattices(B) & v7_lattices(B) & v5_lattices(B) & -v3_struct_0(B))))) # label(rc1_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10037 $T # label(t7_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10038 (all A (v1_funct_2(A,k2_zfmisc_1(k5_numbers,k5_numbers),k5_numbers) & m2_relset_1(A,k2_zfmisc_1(k5_numbers,k5_numbers),k5_numbers) & v1_funct_1(A) -> (A = k1_nat_lat <-> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> k2_binop_1(k5_numbers,k5_numbers,k5_numbers,A,B,C) = k6_nat_1(B,C)))))))) # label(d3_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10039 $T # label(t2_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10040 $T # label(t30_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10041 $T # label(t58_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10042 $T # label(t23_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10043 (all A (m1_subset_1(A,k5_numbers) -> m1_nat_lat(k8_nat_lat(A),k1_numbers,k5_numbers,k7_nat_lat))) # label(dt_k8_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10044 $T # label(t39_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10045 $T # label(t33_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10046 $T # label(t10_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10047 (all A all B all C (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(B)) & -v1_xboole_0(A) -> (all D (m1_nat_lat(D,A,B,C) -> m2_subset_1(D,A,B))))) # label(dt_m1_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10048 $T # label(t45_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10049 $T # label(t24_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10050 $T # label(t44_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10051 $T # label(t35_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10052 $T # label(t5_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10053 $T # label(t31_nat_lat) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10054 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> k8_group_5(A,B,C) = k7_group_5(A,k7_group_2(A,B),k7_group_2(A,C)))))))) # label(d8_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10055 (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)) & (exists D (k2_group_5(B,C,D) = A & m1_subset_1(D,u1_struct_0(B)))))) <-> r2_hidden(A,k6_group_5(B))))) # label(t65_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10056 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) & v3_group_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,B,C) = k2_group_1(A)))))))) # label(t40_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10057 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,B,C) = k1_group_1(A,k1_group_1(A,k6_group_1(A,np__2,k3_group_1(A,B)),k6_group_1(A,np__2,k1_group_1(A,B,k3_group_1(A,C)))),k6_group_1(A,np__2,C)))))))) # label(t27_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10058 $T # label(t51_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10059 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(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]. 188.55/187.96 10060 $T # label(t42_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10061 (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) & v1_group_3(C,A) -> r1_tarski(k5_group_5(A,B,C),k7_group_2(A,C)) & r1_tarski(k5_group_5(A,C,B),k7_group_2(A,C)))))))) # label(t61_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10062 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> k9_group_5(A) = k8_group_5(A,k6_group_2(A),k6_group_2(A)))) # label(d9_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10063 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,B,k3_group_1(A,C)) = k2_group_3(A,k2_group_5(A,C,B),k3_group_1(A,C)))))))) # label(t31_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10064 $T # label(t81_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10065 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(D,E) & r1_tarski(B,C) -> 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]. 188.55/187.96 10066 (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_5(A,B,k2_group_1(A)) = k2_group_1(A) & k2_group_5(A,k2_group_1(A),B) = k2_group_1(A))))) # label(t22_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10067 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k7_group_3(A,B) = k6_domain_1(u1_struct_0(A),B) <-> r1_rlvect_1(k10_group_5(A),B)))))) # label(t93_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10068 (all A all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (r1_rlvect_1(k9_group_5(B),A) <-> (exists C (m2_finseq_1(C,u1_struct_0(B)) & (exists D (m2_finseq_1(D,k4_numbers) & k3_group_4(B,k4_group_4(B,D,C)) = A & r1_tarski(k2_relat_1(C),k6_group_5(B)) & k3_finseq_1(C) = k3_finseq_1(D)))))))) # label(t83_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10069 (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_xboole_0 = k1_group_5(A,k6_finseq_1(u1_struct_0(A)),B))))) # label(t13_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10070 (all A all B all C all D (-v3_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)) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> m1_subset_1(k3_group_5(A,B,C,D),u1_struct_0(A)))) # label(dt_k3_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10071 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k3_group_5(A,B,C,D) = k2_group_5(A,k2_group_5(A,B,C),D))))))))) # label(d3_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10072 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (k6_domain_1(u1_struct_0(A),k2_group_1(A)) = k6_group_5(A) <-> v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A)))) # label(t66_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10073 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> k5_group_5(A,B,k5_group_2(A)) = k6_domain_1(u1_struct_0(A),k2_group_1(A)) & k6_domain_1(u1_struct_0(A),k2_group_1(A)) = k5_group_5(A,k5_group_2(A),B))))) # label(t60_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10074 (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)) -> k6_domain_1(u1_struct_0(A),k2_group_5(A,B,C)) = k4_group_5(A,k6_domain_1(u1_struct_0(A),B),k6_domain_1(u1_struct_0(A),C)))))))) # label(t54_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10075 (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]. 188.55/187.96 10076 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k6_group_5(A),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k6_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10077 $T # label(t67_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10078 (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,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,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))) & k1_group_1(A,k1_group_1(A,k3_group_1(A,B),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),k1_group_1(A,k3_group_1(A,C),B)),C) = k2_group_5(A,B,C))))))) # label(t19_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10079 $T # label(t64_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10080 (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_5(A,k1_subset_1(u1_struct_0(A)),B) = k1_xboole_0 & k1_xboole_0 = k4_group_5(A,B,k1_subset_1(u1_struct_0(A))))))) # label(t53_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10081 (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) -> k4_group_5(A,k7_group_2(A,B),k7_group_2(A,C)) = k5_group_5(A,B,C))))))) # label(d5_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10082 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) & r1_tarski(D,E) -> r1_tarski(k4_group_5(A,B,D),k4_group_5(A,C,E))))))))))))) # label(t55_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10083 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> r1_group_2(A,k8_group_5(A,B,C),k5_group_4(A,k5_group_5(A,B,C))))))))) # label(t72_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10084 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_3(A,k1_group_1(A,k2_group_5(A,B,k3_group_1(A,C)),k2_group_5(A,B,C)),C) = k3_group_5(A,B,C,C))))))) # label(t46_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10085 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,B,C) = k1_group_1(A,k3_group_1(A,B),k2_group_3(A,B,C)) & k1_group_1(A,k2_group_3(A,k3_group_1(A,C),B),C) = k2_group_5(A,B,C))))))) # label(t21_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10086 (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)) -> (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]. 188.55/187.96 10087 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_group_1(A,k2_group_3(A,k2_group_5(A,B,D),C),k2_group_5(A,C,D)) = k2_group_5(A,k1_group_1(A,B,C),D))))))))) # label(t28_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10088 (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) -> (r1_rlvect_1(k8_group_5(B,C,D),A) <-> (exists E (m2_finseq_1(E,u1_struct_0(B)) & (exists F (m2_finseq_1(F,k4_numbers) & k3_finseq_1(F) = k3_finseq_1(E) & k3_group_4(B,k4_group_4(B,F,E)) = A & r1_tarski(k2_relat_1(E),k5_group_5(B,C,D))))))))))))) # label(t73_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10089 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (m1_group_2(B,k10_group_5(A)) -> v1_group_3(B,A) & m1_group_2(B,A)))))) # label(t91_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10090 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> r2_hidden(k2_group_1(A),k5_group_5(A,B,C)))))))) # label(t59_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10091 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & m1_group_2(C,A) & m1_group_2(B,A) & l1_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]. 188.55/187.96 10092 (all A all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (r2_hidden(A,a_1_0_group_5(B)) <-> (exists C (m1_subset_1(C,u1_struct_0(B)) & (all D (m1_subset_1(D,u1_struct_0(B)) -> k1_group_1(B,C,D) = k1_group_1(B,D,C))) & C = A))))) # label(fraenkel_a_1_0_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10093 (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) -> k6_domain_1(u1_struct_0(A),k2_group_1(A)) = k5_group_5(A,B,C))))) <-> l1_group_1(A) & v7_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A)))) # label(t63_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10094 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,k3_group_1(A,B),C) = k2_group_3(A,k2_group_5(A,C,B),k3_group_1(A,B)))))))) # label(t30_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10095 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,k3_group_1(A,B),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_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)))))))) # label(t32_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10096 (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_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]. 188.55/187.96 10097 $T # label(t71_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10098 (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,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]. 188.55/187.96 10099 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_1(A) = k3_group_5(A,B,k2_group_1(A),C) & k2_group_1(A) = k3_group_5(A,k2_group_1(A),B,C) & k3_group_5(A,B,C,k2_group_1(A)) = k2_group_1(A))))))) # label(t43_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10100 (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,k3_group_1(A,C),B) = k2_group_5(A,k2_group_3(A,B,k3_group_1(A,C)),C))))))) # label(t34_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10101 (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,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]. 188.55/187.96 10102 (all A all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (A = k2_group_1(B) <-> r1_rlvect_1(k5_group_2(B),A)))) # label(t1_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10103 (all A (v3_group_1(A) & v4_group_1(A) & l1_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]. 188.55/187.96 10104 (all A (r2_hidden(A,a_0_0_group_5) <-> (exists B exists C exists D (m1_subset_1(B,f1_s1_group_5) & m1_subset_1(C,f2_s1_group_5) & m1_subset_1(D,f3_s1_group_5) & p1_s1_group_5(B,C,D) & A = f4_s1_group_5(B,C,D))))) # label(fraenkel_a_0_0_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10105 (all A all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (m1_group_2(C,B) -> (all D (m1_group_2(D,B) -> (r2_hidden(A,k5_group_5(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & (exists F (k2_group_5(B,E,F) = A & r1_rlvect_1(D,F) & r1_rlvect_1(C,E) & m1_subset_1(F,u1_struct_0(B))))))))))))) # label(t58_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10106 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> m1_group_2(k10_group_5(A),A) & v1_group_3(k10_group_5(A),A))) # label(t90_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10107 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_5(A,C,k3_group_1(A,B)) = k2_group_5(A,B,k2_group_3(A,C,k3_group_1(A,B))))))))) # label(t33_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10108 (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) -> (all C (m1_group_2(C,A) & v1_group_3(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]. 188.55/187.96 10109 (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_5(A,k7_rlvect_1(A,B,C),D) = k7_rlvect_1(A,k2_group_3(A,B,D),k2_group_3(A,C,D)))))))))) # label(t15_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10110 (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) = k2_group_5(A,B,B))))) # label(t23_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10111 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_group_1(A,k2_group_5(A,B,D),k2_group_3(A,k2_group_5(A,B,C),D)) = k2_group_5(A,B,k1_group_1(A,C,D)))))))))) # label(t29_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10112 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k5_group_4(A,k4_group_5(A,B,C)) = k7_group_5(A,B,C))))))) # label(d7_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10113 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,B,C) = k1_group_1(A,C,B))) <-> r1_rlvect_1(k10_group_5(A),B)))))) # label(t89_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10114 $T # label(t88_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10115 $T # label(t10_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10116 (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]. 188.55/187.96 10117 (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) -> (all E (m1_group_2(E,A) -> (m1_group_2(D,E) & m1_group_2(B,C) -> 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]. 188.55/187.96 10118 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) & v1_group_3(C,A) -> m1_group_2(k8_group_5(A,C,B),C) & m1_group_2(k8_group_5(A,B,C),C))))))) # label(t76_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10119 (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_1(A,k2_group_5(A,B,C)) = k2_group_5(A,C,B))))))) # label(t25_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10120 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_group_1(A,B,C) = k1_group_1(A,C,B) <-> k2_group_5(A,B,C) = k2_group_1(A)))))))) # label(t39_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10121 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_group_5(A,B,k3_group_1(A,B)) = k2_group_1(A) & k2_group_5(A,k3_group_1(A,B),B) = k2_group_1(A))))) # label(t24_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10122 $T # label(t11_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10123 (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,B) = k2_group_5(A,k2_group_3(A,B,C),B))))))) # label(t45_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10124 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> v1_group_1(k10_group_5(A)) & m1_group_2(k10_group_5(A),A))) # label(dt_k10_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10125 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> ((exists E ((exists F (k2_group_5(B,E,F) = A & 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,k4_group_5(B,C,D))))))))) # label(t52_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10126 (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,C) & r1_rlvect_1(D,B) -> r1_rlvect_1(D,k2_group_3(A,B,C))))))))))) # label(t2_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10127 (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_5(A,B,B,C) = k2_group_1(A))))))) # label(t44_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10128 (all A (v3_group_1(A) & v4_group_1(A) & l1_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]. 188.55/187.96 10129 (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(C,E) & r2_hidden(B,D) -> 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]. 188.55/187.96 10130 $T # label(t9_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10131 (all A all B all C (-v3_struct_0(A) & m1_finseq_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) -> m2_finseq_1(k1_group_5(A,B,C),u1_struct_0(A)))) # label(dt_k1_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10132 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m2_finseq_1(B,u1_struct_0(A)) -> (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]. 188.55/187.96 10133 (all A all B all C all D (-v3_struct_0(B) & v3_group_1(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))) & v4_group_1(B) -> (r2_hidden(A,a_3_0_group_5(B,C,D)) <-> (exists E exists F (k2_group_5(B,E,F) = A & r2_hidden(F,D) & r2_hidden(E,C) & m1_subset_1(F,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_0_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.96 10134 (all A all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (v1_group_3(C,B) & m1_group_2(C,B) & v1_group_1(C) -> (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 (r1_rlvect_1(C,E) & r1_rlvect_1(D,F) & k1_group_1(B,E,F) = A & m1_subset_1(F,u1_struct_0(B)))))) <-> r1_rlvect_1(k8_group_4(B,C,D),A)))))))) # label(t7_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10135 (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) -> (k7_group_4(B,C,D) = k7_group_4(B,D,C) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & (exists F (m1_subset_1(F,u1_struct_0(B)) & A = k1_group_1(B,E,F) & r1_rlvect_1(C,E) & r1_rlvect_1(D,F))))) <-> r1_rlvect_1(k8_group_4(B,C,D),A))))))))) # label(t5_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10136 (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))))))) # label(d2_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10137 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_group_2(D,A) -> (all E (m1_group_2(E,A) -> (r1_rlvect_1(D,B) & r1_rlvect_1(E,C) -> r1_rlvect_1(k8_group_5(A,D,E),k2_group_5(A,B,C))))))))))))) # label(t74_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10138 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) & v1_group_1(B) -> (all C (v1_group_3(C,A) & m1_group_2(C,A) & v1_group_1(C) -> v1_group_3(k8_group_5(A,B,C),A) & m1_group_2(k8_group_5(A,B,C),A))))))) # label(t77_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10139 (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 (v1_group_1(D) & m1_group_2(D,A) & v1_group_3(D,A) -> (r1_rlvect_1(D,B) -> r1_rlvect_1(D,k2_group_3(A,B,C))))))))))) # label(t3_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10140 $T # label(t57_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10141 (all A all B all C (-v3_struct_0(A) & 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) -> 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]. 188.55/187.97 10142 (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))) -> k4_group_5(A,B,C) = a_3_0_group_5(A,B,C))))))) # label(d4_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10143 (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) -> (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]. 188.55/187.97 10144 (all A (v4_group_1(A) & l1_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 (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]. 188.55/187.97 10145 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & m1_group_2(C,A) & m1_group_2(B,A) & v4_group_1(A) -> m1_subset_1(k5_group_5(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k5_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10146 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_3(C,A) & m1_group_2(C,A) -> k7_group_4(A,C,B) = k7_group_4(A,B,C))))))) # label(t8_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10147 (all A all B (v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (m1_group_2(C,B) -> (all D (m1_group_2(D,B) -> (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v7_group_1(B) & v4_group_1(B) -> ((exists E ((exists F (k1_group_1(B,E,F) = A & r1_rlvect_1(D,F) & r1_rlvect_1(C,E) & m1_subset_1(F,u1_struct_0(B)))) & m1_subset_1(E,u1_struct_0(B)))) <-> r1_rlvect_1(k8_group_4(B,C,D),A))))))))) # label(t6_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10148 (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,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]. 188.55/187.97 10149 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k2_group_5(B,C,k6_group_1(B,A,D)) = k1_group_1(B,k6_group_1(B,k4_xcmplx_0(A),k2_group_3(B,D,C)),k6_group_1(B,A,D)))))))))) # label(t38_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10150 (all A all B all C (v3_group_1(A) & v4_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_group_1(A) & -v3_struct_0(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]. 188.55/187.97 10151 (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) -> ((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)))))) <-> r2_hidden(A,k7_group_4(B,C,D))))))))) # label(t4_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10152 (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]. 188.55/187.97 10153 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_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]. 188.55/187.97 10154 (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)) -> 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]. 188.55/187.97 10155 (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_3(A,k2_group_5(A,B,C),D) = k2_group_5(A,k2_group_3(A,B,D),k2_group_3(A,C,D)))))))))) # label(t26_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10156 (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,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]. 188.55/187.97 10157 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> 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]. 188.55/187.97 10158 (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)) -> k1_group_5(A,k8_finseq_1(u1_struct_0(A),C,D),B) = k8_finseq_1(u1_struct_0(A),k1_group_5(A,C,B),k1_group_5(A,D,B)))))))))) # label(t12_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10159 (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) -> (k17_group_2(A,B) = np__2 & v1_finset_1(k14_group_2(A,B)) -> m1_group_2(k9_group_5(A),B)))))) # label(t86_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10160 (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) -> (k10_group_5(A) = B <-> a_1_0_group_5(A) = u1_struct_0(B)))))) # label(d10_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10161 (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))) -> (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 (m2_finseq_1(E,u1_struct_0(B)) & (exists F (k3_finseq_1(E) = k3_finseq_1(F) & k3_group_4(B,k4_group_4(B,F,E)) = A & r1_tarski(k2_relat_1(E),k4_group_5(B,C,D)) & m2_finseq_1(F,k4_numbers)))))))))))) # label(t69_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10162 (all A (v1_int_1(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k2_group_5(B,k6_group_1(B,A,C),D) = k1_group_1(B,k6_group_1(B,k4_xcmplx_0(A),C),k6_group_1(B,A,k2_group_3(B,C,D))))))))))) # label(t37_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10163 (all A (-v3_struct_0(A) & v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (k10_group_5(A) = A <-> -v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & v3_group_1(A)))) # label(t94_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10164 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v7_group_1(k10_group_5(A)))) # label(t92_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10165 $T # label(t87_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10166 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (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(t36_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10167 (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))) -> -(k4_group_5(A,B,C) != k6_domain_1(u1_struct_0(A),k2_group_1(A)) & k1_xboole_0 != C & B != k1_xboole_0))))) <-> v3_group_1(A) & v7_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A)))) # label(t56_group_5) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10168 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_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]. 188.55/187.97 10169 (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]. 188.55/187.97 10170 (all A (v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & l1_group_1(A) & v7_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]. 188.55/187.97 10171 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> k10_cat_1(A,k13_cat_1(B,A,C,D)) = k3_nattra_1(B,A,C,D,D,k10_cat_1(B,D)))))))))) # label(t15_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10172 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_nattra_1(F,A,B,C,D) -> (all G (m2_nattra_1(G,A,B,D,E) -> (all H (m1_subset_1(H,u2_cat_1(k12_nattra_1(A,B))) -> (all I (m1_subset_1(I,u2_cat_1(k12_nattra_1(A,B))) -> (I = k4_tarski(k4_tarski(D,E),G) & H = k4_tarski(k4_tarski(C,D),F) -> k4_cat_1(k12_nattra_1(A,B),H,I) = k4_tarski(k4_tarski(C,E),k8_nattra_1(A,B,C,D,E,F,G))))))))))))))))))))) # label(t42_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10173 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (v1_nattra_1(E,A,B,C,D) -> (all F (m1_nattra_1(F,A,B,D,C) -> ((all G (m1_subset_1(G,u1_cat_1(A)) -> k11_cat_1(B,k13_cat_1(A,B,C,G),k13_cat_1(A,B,D,G),k5_nattra_1(A,B,C,D,E,G)) = k5_nattra_1(A,B,D,C,F,G))) <-> F = k9_nattra_1(A,B,C,D,E)))))))))))))))) # label(d12_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10174 (all A (v2_cat_1(A) & l1_cat_1(A) -> k13_nattra_1(A) = k13_nattra_1(k13_nattra_1(A)))) # label(t53_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10175 (all A all B all C all D all E all F (-v1_xboole_0(B) & -v1_xboole_0(D) & m1_relset_1(E,A,B) & m1_relset_1(F,C,D) & v1_funct_2(F,C,D) & v1_funct_1(F) & v1_funct_2(E,A,B) & v1_funct_1(E) & -v1_xboole_0(C) & -v1_xboole_0(A) -> (r4_nattra_1(A,B,C,D,E,F) <-> E = F))) # label(redefinition_r4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10176 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) & v2_nattra_1(B) & v1_cat_1(B) -> (B = k13_nattra_1(A) <-> u1_cat_1(A) = u1_cat_1(B) & u2_cat_1(B) = a_1_0_nattra_1(A)))))) # label(d20_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10177 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r1_nattra_1(A,B,C,D) & r1_nattra_1(A,B,D,E) -> r1_nattra_1(A,B,C,E)))))))))))) # label(t19_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10178 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u2_cat_1(A))) -> (all D (v1_funct_1(D) & m2_relset_1(D,C,B) & v1_funct_2(D,C,B) -> (all E (v1_funct_1(E) & m2_relset_1(E,C,B) & v1_funct_2(E,C,B) -> (D = k1_nattra_1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),C) & E = k1_nattra_1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),C) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(C,C),C) -> (F = k1_realset1(u5_cat_1(A),C) -> (all G (m2_relset_1(G,B,C) & v1_funct_2(G,B,C) & v1_funct_1(G) -> (k1_nattra_1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B) = G -> m3_cat_2(g1_cat_1(B,C,D,E,F,G),A)))))))))))))))))) # label(t9_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10179 (all A (m1_subset_1(A,f1_s1_nattra_1) -> -r1_xboole_0(f2_s1_nattra_1,f3_s1_nattra_1(A)))) -> (exists A (v1_funct_1(A) & v1_funct_2(A,f1_s1_nattra_1,f2_s1_nattra_1) & m2_relset_1(A,f1_s1_nattra_1,f2_s1_nattra_1) & (all B (m1_subset_1(B,f1_s1_nattra_1) -> r2_hidden(k8_funct_2(f1_s1_nattra_1,f2_s1_nattra_1,A,B),f3_s1_nattra_1(B)))))) # label(s1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10180 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(B)) -> (all E (m2_relset_1(E,k2_zfmisc_1(A,A),A) & v1_funct_1(E) -> (all F (m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_1(F) -> (all G (v1_funct_1(G) & m2_relset_1(G,k12_mcart_1(A,A,C,C),C) -> (G = k1_realset1(E,C) -> (all H (m2_relset_1(H,k12_mcart_1(B,B,D,D),D) & v1_funct_1(H) -> (k1_realset1(F,D) = H -> k2_nattra_1(A,B,C,D,G,H) = k1_realset1(k10_cat_2(A,B,E,F),k12_mcart_1(A,B,C,D)))))))))))))))))))) # label(t2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10181 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (v2_nattra_1(B) & v2_nattra_1(A) -> v2_nattra_1(k11_cat_2(A,B))))))) # label(t48_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10182 $T # label(t18_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10183 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m2_relset_1(E,C,A) & v1_funct_2(E,C,A) & v1_funct_1(E) -> (all F (m2_relset_1(F,D,B) & v1_funct_2(F,D,B) & v1_funct_1(F) -> (all G (m1_subset_1(G,k1_zfmisc_1(C)) & -v1_xboole_0(G) -> (all H (-v1_xboole_0(H) & m1_subset_1(H,k1_zfmisc_1(D)) -> k1_nattra_1(k2_zfmisc_1(C,D),k2_zfmisc_1(A,B),k9_cat_2(C,D,A,B,E,F),k12_mcart_1(C,D,G,H)) = k9_cat_2(G,H,A,B,k1_nattra_1(C,A,E,G),k1_nattra_1(D,B,F,H)))))))))))))))))) # label(t1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10184 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (r1_nattra_1(A,B,D,E) & r1_nattra_1(A,B,E,F) & r1_nattra_1(A,B,C,D) -> (all G (m1_nattra_1(G,A,B,C,D) -> (all H (m1_nattra_1(H,A,B,D,E) -> (all I (m1_nattra_1(I,A,B,E,F) -> k6_nattra_1(A,B,C,D,F,G,k6_nattra_1(A,B,D,E,F,H,I)) = k6_nattra_1(A,B,C,E,F,k6_nattra_1(A,B,C,D,E,G,H),I)))))))))))))))))))) # label(t23_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10185 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & m2_cat_1(D,A,B) & m2_cat_1(C,A,B) & v2_cat_1(B) -> (all E (m2_nattra_1(E,A,B,C,D) -> m1_nattra_1(E,A,B,C,D))))) # label(dt_m2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10186 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r2_nattra_1(A,B,C,D) -> (all E (m2_nattra_1(E,A,B,C,D) -> E = k8_nattra_1(A,B,C,C,D,k7_nattra_1(A,B,C),E) & E = k8_nattra_1(A,B,C,D,D,E,k7_nattra_1(A,B,D))))))))))))) # label(t26_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10187 (all A all B all C all D (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & l1_cat_1(A) -> r3_nattra_1(A,B,C,C))) # label(reflexivity_r3_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10188 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> -(k1_xboole_0 != k6_cat_1(B,E,F) & -(all G (m1_cat_1(G,B,D,E) -> (all H (m1_cat_1(H,B,E,F) -> k9_cat_1(A,k13_cat_1(B,A,C,D),k13_cat_1(B,A,C,E),k13_cat_1(B,A,C,F),k3_nattra_1(B,A,C,D,E,G),k3_nattra_1(B,A,C,E,F,H)) = k3_nattra_1(B,A,C,D,F,k9_cat_1(B,D,E,F,G,H)))))) & k1_xboole_0 != k6_cat_1(B,D,E)))))))))))))) # label(t13_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10189 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> m3_nattra_1(k7_nattra_1(A,B,C),A,B,C,C))))))) # label(t33_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10190 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> ((all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> (k1_xboole_0 != k6_cat_1(A,E,F) -> (all G (m1_cat_1(G,A,E,F) -> k3_nattra_1(A,B,C,E,F,G) = k3_nattra_1(A,B,D,E,F,G)))))))) -> C = D))))))))) # label(t12_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10191 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (k1_xboole_0 != k6_cat_1(A,B,C) -> (all D (m1_cat_1(D,A,B,C) -> D = k3_nattra_1(A,A,k15_cat_1(A),B,C,D)))))))))) # label(t16_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10192 $T # label(t29_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10193 (all A all B v2_nattra_1(k8_cat_1(A,B))) # label(t46_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10194 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & v2_cat_1(B) & l1_cat_1(A) -> (exists E m3_nattra_1(E,A,B,C,D)))) # label(existence_m3_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10195 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r2_nattra_1(A,B,C,D) & (exists E (m2_nattra_1(E,A,B,C,D) & v1_nattra_1(E,A,B,C,D))) <-> r3_nattra_1(A,B,C,D)))))))))) # label(d11_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10196 (all A all B (l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> (exists C m4_nattra_1(C,A,B)))) # label(existence_m4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10197 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (r1_nattra_1(B,A,C,D) -> (all E (m1_nattra_1(E,B,A,C,D) -> (all F (m1_nattra_1(F,B,A,C,D) -> ((all G (m1_subset_1(G,u1_cat_1(B)) -> k5_nattra_1(B,A,C,D,F,G) = k5_nattra_1(B,A,C,D,E,G))) -> E = F)))))))))))))) # label(t20_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10198 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r3_nattra_1(A,B,D,E) & r3_nattra_1(A,B,C,D) -> r3_nattra_1(A,B,C,E)))))))))))) # label(t32_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10199 (all A all B k1_tarski(k4_tarski(k4_tarski(B,B),B)) = u5_cat_1(k8_cat_1(A,B))) # label(t6_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10200 (all A all B all C all D all E (m2_cat_1(C,A,B) & m2_nattra_1(E,A,B,C,D) & m2_cat_1(D,A,B) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m2_nattra_1(k10_nattra_1(A,B,C,D,E),A,B,D,C))) # label(dt_k10_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10201 (all A all B all C all D all E all F all G (v2_cat_1(A) & m2_cat_1(C,A,B) & m2_nattra_1(F,A,B,C,D) & m2_nattra_1(G,A,B,D,E) & m2_cat_1(E,A,B) & m2_cat_1(D,A,B) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> m2_nattra_1(k8_nattra_1(A,B,C,D,E,F,G),A,B,C,E))) # label(dt_k8_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10202 (all A all B all C all D (l1_cat_1(A) & v2_cat_1(B) & m2_cat_1(D,A,B) & m2_cat_1(C,A,B) & l1_cat_1(B) & v2_cat_1(A) -> (all E (m1_nattra_1(E,A,B,C,D) -> v1_funct_2(E,u1_cat_1(A),u2_cat_1(B)) & m2_relset_1(E,u1_cat_1(A),u2_cat_1(B)) & v1_funct_1(E))))) # label(dt_m1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10203 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u2_cat_1(B),E,F) = k5_nattra_1(A,B,C,D,E,F)))))))))))))) # label(d5_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10204 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> E = k6_nattra_1(A,B,C,C,D,k4_nattra_1(A,B,C),E) & E = k6_nattra_1(A,B,C,D,D,E,k4_nattra_1(A,B,D))))))))))))) # label(t22_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10205 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r3_nattra_1(A,B,C,D) -> r3_nattra_1(A,B,D,C)))))))))) # label(t31_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10206 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r1_nattra_1(A,B,D,E) & r1_nattra_1(A,B,C,D) -> (all F (m1_nattra_1(F,A,B,C,D) -> (all G (m1_nattra_1(G,A,B,D,E) -> (all H (m1_nattra_1(H,A,B,C,E) -> ((all I (m1_subset_1(I,u1_cat_1(A)) -> k5_nattra_1(A,B,C,E,H,I) = k9_cat_1(B,k13_cat_1(A,B,C,I),k13_cat_1(A,B,D,I),k13_cat_1(A,B,E,I),k5_nattra_1(A,B,C,D,F,I),k5_nattra_1(A,B,D,E,G,I)))) <-> k6_nattra_1(A,B,C,D,E,F,G) = H)))))))))))))))))) # label(d6_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10207 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r3_nattra_1(A,B,C,D) & r3_nattra_1(A,B,D,E) -> (all F (m3_nattra_1(F,A,B,C,D) -> (all G (m3_nattra_1(G,A,B,D,E) -> m3_nattra_1(k8_nattra_1(A,B,C,D,E,F,G),A,B,C,E)))))))))))))))) # label(t34_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10208 (all A all B k8_cat_1(A,B) = k13_nattra_1(k8_cat_1(A,B))) # label(t54_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10209 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,D,E) & r2_nattra_1(A,B,C,D) -> (all F (m2_nattra_1(F,A,B,C,D) -> (all G (m2_nattra_1(G,A,B,D,E) -> k6_nattra_1(A,B,C,D,E,F,G) = k8_nattra_1(A,B,C,D,E,F,G)))))))))))))))) # label(d9_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10210 (all A all B all C all D (v2_cat_1(A) & v2_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & l1_cat_1(B) & l1_cat_1(A) -> (exists E m1_nattra_1(E,A,B,C,D)))) # label(existence_m1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10211 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & m2_cat_1(C,A,B) & l1_cat_1(B) -> k4_nattra_1(A,B,C) = k7_nattra_1(A,B,C))) # label(redefinition_k7_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10212 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_nattra_1(G,A,B,E,F) -> (all H (m2_nattra_1(H,A,B,C,D) -> (all I (m1_subset_1(I,u2_cat_1(k12_nattra_1(A,B))) -> (all J (m1_subset_1(J,u2_cat_1(k12_nattra_1(A,B))) -> (J = k4_tarski(k4_tarski(C,D),H) & I = k4_tarski(k4_tarski(E,F),G) -> (r4_nattra_1(u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),F,C) <-> r2_hidden(k13_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,B),J,I),k1_relat_1(u5_cat_1(k12_nattra_1(A,B)))))))))))))))))))))))))) # label(t41_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10213 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (r2_hidden(k4_tarski(k4_tarski(C,D),E),k11_nattra_1(A,B)) <-> r2_nattra_1(A,B,C,D)))))))))))) # label(t35_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10214 (all A all B (v2_cat_1(B) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> (all C (m4_nattra_1(C,A,B) -> -v1_xboole_0(C))))) # label(dt_m4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10215 (all A (v2_cat_1(A) & l1_cat_1(A) -> (exists B (m3_cat_2(B,A) & v2_cat_1(B) & v2_nattra_1(B) & v1_cat_1(B))))) # label(rc2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10216 $T # label(t37_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10217 (all A all B all C all D all E all F (l1_cat_1(A) & v2_cat_1(B) & m1_nattra_1(E,A,B,C,D) & m1_subset_1(F,u1_cat_1(A)) & m2_cat_1(D,A,B) & m2_cat_1(C,A,B) & l1_cat_1(B) & v2_cat_1(A) -> m1_cat_1(k5_nattra_1(A,B,C,D,E,F),B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F)))) # label(dt_k5_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10218 (all A all B (l1_cat_1(B) & v2_cat_1(B) -> ((exists C (k10_cat_1(B,C) = A & m1_subset_1(C,u1_cat_1(B)))) <-> r2_hidden(A,a_1_0_nattra_1(B))))) # label(fraenkel_a_1_0_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10219 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_nattra_1(D,A,B,C,C) -> ((all E (m1_subset_1(E,u1_cat_1(A)) -> k8_funct_2(u1_cat_1(A),u2_cat_1(B),D,E) = k10_cat_1(B,k13_cat_1(A,B,C,E)))) <-> k4_nattra_1(A,B,C) = D))))))))) # label(d4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10220 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_cat_1(A),u2_cat_1(B)) & m2_relset_1(E,u1_cat_1(A),u2_cat_1(B)) -> ((all F (m1_subset_1(F,u1_cat_1(A)) -> m1_cat_1(k8_funct_2(u1_cat_1(A),u2_cat_1(B),E,F),B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F)))) <-> m1_nattra_1(E,A,B,C,D))))))))))))) # label(d3_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10221 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (-r1_xboole_0(k6_cat_1(A,B,C),k6_cat_1(A,D,E)) -> E = C & B = D))))))))))) # label(t17_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10222 (all A all B all C all D (-v1_xboole_0(B) & m1_subset_1(D,k1_zfmisc_1(A)) & m1_relset_1(C,A,B) & v1_funct_2(C,A,B) & v1_funct_1(C) -> m2_relset_1(k1_nattra_1(A,B,C,D),D,B) & v1_funct_2(k1_nattra_1(A,B,C,D),D,B) & v1_funct_1(k1_nattra_1(A,B,C,D)))) # label(dt_k1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10223 (all A all B all C all D all E all F (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(D,k1_zfmisc_1(B)) & v1_funct_1(E) & v1_funct_1(F) & m1_relset_1(F,k12_mcart_1(B,B,D,D),D) & m1_relset_1(E,k12_mcart_1(A,A,C,C),C) & -v1_xboole_0(D) & m1_subset_1(C,k1_zfmisc_1(A)) & -v1_xboole_0(A) -> k3_funct_4(E,F) = k2_nattra_1(A,B,C,D,E,F))) # label(redefinition_k2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10224 (all A all B all C all D (l1_cat_1(A) & m2_cat_1(D,A,B) & m2_cat_1(C,A,B) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> r1_nattra_1(A,B,C,C))) # label(reflexivity_r1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10225 (all A all B all C (l1_cat_1(A) & l1_cat_1(B) & m2_cat_1(C,A,B) & v2_cat_1(B) & v2_cat_1(A) -> m1_nattra_1(k4_nattra_1(A,B,C),A,B,C,C))) # label(dt_k4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10226 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_cat_1(C,A,B,B) -> r2_hidden(C,k6_cat_1(A,B,B)))))))) # label(t3_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10227 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(D) & v1_funct_2(E,A,B) & m1_relset_1(F,C,D) & v1_funct_2(F,C,D) & v1_funct_1(F) & m1_relset_1(E,A,B) & v1_funct_1(E) & -v1_xboole_0(C) -> r4_nattra_1(A,B,C,D,E,E))) # label(reflexivity_r4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10228 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> k13_nattra_1(k11_cat_2(A,B)) = k11_cat_2(k13_nattra_1(A),k13_nattra_1(B)))))) # label(t55_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10229 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (k3_nattra_1(A,B,C,D,D,k10_cat_1(A,D)) = k10_cat_1(B,E) -> k13_cat_1(A,B,C,D) = E))))))))))) # label(t14_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10230 (all A all B all C all D (v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(D,k1_zfmisc_1(A)) & m1_relset_1(C,A,B) & -v1_xboole_0(B) -> k7_relat_1(C,D) = k1_nattra_1(A,B,C,D))) # label(redefinition_k1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10231 (all A (v2_cat_1(A) & l1_cat_1(A) -> ((all B (m1_subset_1(B,u1_cat_1(A)) -> (exists C (v1_finset_1(C) & C = k6_cat_1(A,B,B) & k4_card_1(C) = np__1)))) & (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (B != C -> k6_cat_1(A,B,C) = k1_xboole_0))))) <-> v2_nattra_1(A)))) # label(t45_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10232 (all A (v1_cat_1(A) & l1_cat_1(A) & v2_cat_1(A) -> (v2_nattra_1(A) -> A = k13_nattra_1(A)))) # label(t52_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10233 (all A (v2_cat_1(A) & l1_cat_1(A) & v2_nattra_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k1_tarski(k10_cat_1(A,B)) = k6_cat_1(A,B,B))))) # label(t44_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10234 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r3_nattra_1(A,B,C,D) -> (all E (m2_nattra_1(E,A,B,C,D) -> (v1_nattra_1(E,A,B,C,D) <-> m3_nattra_1(E,A,B,C,D))))))))))))) # label(d14_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10235 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> ((exists E ((all F (m1_subset_1(F,u1_cat_1(A)) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> (k6_cat_1(A,F,G) != k1_xboole_0 -> (all H (m1_cat_1(H,A,F,G) -> k9_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F),k13_cat_1(A,B,D,G),k5_nattra_1(A,B,C,D,E,F),k3_nattra_1(A,B,D,F,G,H)) = k9_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,C,G),k13_cat_1(A,B,D,G),k3_nattra_1(A,B,C,F,G,H),k5_nattra_1(A,B,C,D,E,G))))))))) & m1_nattra_1(E,A,B,C,D))) & r1_nattra_1(A,B,C,D) <-> r2_nattra_1(A,B,C,D)))))))))) # label(d7_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10236 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (v1_nattra_1(E,A,B,C,D) & r2_nattra_1(A,B,C,D) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k11_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F),k5_nattra_1(A,B,C,D,E,F)) = k5_nattra_1(A,B,D,C,k10_nattra_1(A,B,C,D,E),F)))))))))))))) # label(t30_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10237 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & m2_cat_1(D,A,B) & m2_cat_1(C,A,B) & l1_cat_1(B) -> (all E (m3_nattra_1(E,A,B,C,D) -> m2_nattra_1(E,A,B,C,D))))) # label(dt_m3_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10238 (all A (v1_cat_1(A) & v2_cat_1(A) & l1_cat_1(A) -> (all B (m3_cat_2(B,A) & v1_cat_1(B) -> (u2_cat_1(A) = u2_cat_1(B) & u1_cat_1(A) = u1_cat_1(B) -> B = A))))) # label(t10_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10239 (all A (v2_nattra_1(A) & l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> v2_nattra_1(B))))) # label(t47_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10240 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_nattra_1(G,A,B,C,D) -> (all H (m2_nattra_1(H,A,B,D,E) -> (r2_nattra_1(A,B,C,D) & r2_nattra_1(A,B,D,E) & r2_nattra_1(A,B,E,F) -> (all I (m2_nattra_1(I,A,B,E,F) -> k8_nattra_1(A,B,C,D,F,G,k8_nattra_1(A,B,D,E,F,H,I)) = k8_nattra_1(A,B,C,E,F,k8_nattra_1(A,B,C,D,E,G,H),I)))))))))))))))))))) # label(t28_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10241 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (all F (m1_subset_1(F,u2_cat_1(k12_nattra_1(A,B))) -> (F = k4_tarski(k4_tarski(C,D),E) -> k3_cat_1(k12_nattra_1(A,B),F) = D & k2_cat_1(k12_nattra_1(A,B),F) = C))))))))))))) # label(t39_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10242 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> r2_hidden(k13_cat_2(k11_cat_2(A,A),A,k13_cat_2(A,A,k10_cat_1(A,B),k10_cat_1(A,B)),k10_cat_1(A,B)),u5_cat_1(A)))))) # label(t5_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.97 10243 (all A all B all C (m1_subset_1(C,u2_cat_1(k8_cat_1(A,B))) -> (all D (m1_subset_1(D,u2_cat_1(k8_cat_1(A,B))) -> C = D)))) # label(t4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10244 (all A (v2_cat_1(A) & v2_nattra_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (r1_nattra_1(B,A,C,D) -> r4_nattra_1(u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),C,D)))))))))) # label(t49_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10245 $T # label(t43_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10246 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & v2_cat_1(B) -> r2_nattra_1(A,B,C,C))) # label(reflexivity_r2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10247 (exists A (v2_nattra_1(A) & v2_cat_1(A) & l1_cat_1(A))) # label(rc1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10248 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> m3_cat_2(k8_cat_1(B,k10_cat_1(A,B)),A))))) # label(t7_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10249 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(k12_nattra_1(A,B))) -> (all D (m1_subset_1(D,u1_cat_1(k12_nattra_1(A,B))) -> (all E (m1_cat_1(E,k12_nattra_1(A,B),C,D) -> -((all F (m2_cat_1(F,A,B) -> (all G (m2_cat_1(G,A,B) -> (all H (m2_nattra_1(H,A,B,F,G) -> -(k4_tarski(k4_tarski(F,G),H) = E & D = G & C = F))))))) & k6_cat_1(k12_nattra_1(A,B),C,D) != k1_xboole_0))))))))))) # label(t40_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10250 (all A all B all C all D all E all F (-v1_xboole_0(B) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) & m1_relset_1(F,k12_mcart_1(B,B,D,D),D) & v1_funct_1(F) & m1_relset_1(E,k12_mcart_1(A,A,C,C),C) & v1_funct_1(E) & -v1_xboole_0(D) & -v1_xboole_0(A) -> m2_relset_1(k2_nattra_1(A,B,C,D,E,F),k12_mcart_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B),k12_mcart_1(A,B,C,D),k12_mcart_1(A,B,C,D)),k12_mcart_1(A,B,C,D)) & v1_funct_1(k2_nattra_1(A,B,C,D,E,F)))) # label(dt_k2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10251 $T # label(t38_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10252 (all A all B all C all D all E (l1_cat_1(A) & m2_cat_1(C,A,B) & m1_nattra_1(E,A,B,C,D) & m2_cat_1(D,A,B) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> m1_nattra_1(k9_nattra_1(A,B,C,D,E),A,B,D,C))) # label(dt_k9_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10253 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m4_nattra_1(C,A,B) -> (C = k11_nattra_1(A,B) <-> (all D (r2_hidden(D,C) <-> (exists E (m2_cat_1(E,A,B) & (exists F (m2_cat_1(F,A,B) & (exists G (m2_nattra_1(G,A,B,E,F) & r2_nattra_1(A,B,E,F) & k4_tarski(k4_tarski(E,F),G) = D))))))))))))))) # label(d16_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10254 $T # label(t36_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10255 (all A (v2_cat_1(A) & v2_nattra_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m1_nattra_1(D,B,A,C,C) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),D,k7_nattra_1(B,A,C)))))))))) # label(t50_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10256 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m1_nattra_1(E,A,B,C,D) -> ((all F (m1_subset_1(F,u1_cat_1(A)) -> v5_cat_1(k5_nattra_1(A,B,C,D,E,F),B))) <-> v1_nattra_1(E,A,B,C,D)))))))))))) # label(d10_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10257 (all A all B all C (v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & l1_cat_1(A) & v2_cat_1(A) -> m2_nattra_1(k7_nattra_1(A,B,C),A,B,C,C))) # label(dt_k7_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10258 (all A all B all C all D all E all F all G (v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(D,A,B) & m2_cat_1(E,A,B) & m1_nattra_1(G,A,B,D,E) & m1_nattra_1(F,A,B,C,D) & m2_cat_1(C,A,B) & l1_cat_1(A) & v2_cat_1(A) -> m1_nattra_1(k6_nattra_1(A,B,C,D,E,F,G),A,B,C,E))) # label(dt_k6_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10259 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r2_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (m2_nattra_1(E,A,B,C,D) <-> (all F (m1_subset_1(F,u1_cat_1(A)) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> (k6_cat_1(A,F,G) != k1_xboole_0 -> (all H (m1_cat_1(H,A,F,G) -> k9_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F),k13_cat_1(A,B,D,G),k5_nattra_1(A,B,C,D,E,F),k3_nattra_1(A,B,D,F,G,H)) = k9_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,C,G),k13_cat_1(A,B,D,G),k3_nattra_1(A,B,C,F,G,H),k5_nattra_1(A,B,C,D,E,G))))))))))))))))))))) # label(d8_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10260 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (v2_nattra_1(A) -> v2_nattra_1(k12_nattra_1(B,A))))))) # label(t51_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10261 (all A (v2_cat_1(A) & l1_cat_1(A) -> ((all B (m1_subset_1(B,u2_cat_1(A)) -> (exists C (k10_cat_1(A,C) = B & m1_subset_1(C,u1_cat_1(A)))))) <-> v2_nattra_1(A)))) # label(d19_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10262 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,C,D) & r2_nattra_1(A,B,D,E) -> r2_nattra_1(A,B,C,E)))))))))))) # label(t25_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10263 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (k1_xboole_0 != k6_cat_1(A,D,E) -> (all F (m1_cat_1(F,A,D,E) -> k3_nattra_1(A,B,C,D,E,F) = k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,F)))))))))))))) # label(d1_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10264 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> ((all E (m1_subset_1(E,u1_cat_1(A)) -> k1_xboole_0 != k6_cat_1(B,k13_cat_1(A,B,C,E),k13_cat_1(A,B,D,E)))) <-> r1_nattra_1(A,B,C,D)))))))))) # label(d2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10265 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (-v1_xboole_0(C) -> ((all D -(r2_hidden(D,C) & (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_nattra_1(G,A,B,E,F) -> -(r2_nattra_1(A,B,E,F) & k4_tarski(k4_tarski(E,F),G) = D))))))))) <-> m4_nattra_1(C,A,B)))))))) # label(d15_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10266 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (all E (m2_cat_1(E,B,A) -> (r2_nattra_1(B,A,C,D) & r2_nattra_1(B,A,D,E) -> (all F (m2_nattra_1(F,B,A,C,D) -> (all G (m2_nattra_1(G,B,A,D,E) -> (all H (m1_subset_1(H,u1_cat_1(B)) -> k9_cat_1(A,k13_cat_1(B,A,C,H),k13_cat_1(B,A,D,H),k13_cat_1(B,A,E,H),k5_nattra_1(B,A,C,D,F,H),k5_nattra_1(B,A,D,E,G,H)) = k5_nattra_1(B,A,C,E,k8_nattra_1(B,A,C,D,E,F,G),H)))))))))))))))))) # label(t27_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10267 (all A all B (l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m4_nattra_1(k11_nattra_1(A,B),A,B))) # label(dt_k11_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10268 $T # label(t24_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10269 (all A all B all C all D all E all F (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m1_cat_1(F,A,D,E) & m1_subset_1(E,u1_cat_1(A)) & m1_subset_1(D,u1_cat_1(A)) & m2_cat_1(C,A,B) & v2_cat_1(A) -> m1_cat_1(k3_nattra_1(A,B,C,D,E,F),B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)))) # label(dt_k3_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.55/187.98 10270 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,C,A) -> (all E (m2_cat_1(E,A,B) -> (all F (m1_subset_1(F,u1_cat_1(C)) -> (all G (m1_subset_1(G,u1_cat_1(C)) -> (k1_xboole_0 != k6_cat_1(C,F,G) -> (all H (m1_cat_1(H,C,F,G) -> k3_nattra_1(C,B,k14_cat_1(C,A,B,D,E),F,G,H) = k3_nattra_1(A,B,E,k13_cat_1(C,A,D,F),k13_cat_1(C,A,D,G),k3_nattra_1(C,A,D,F,G,H))))))))))))))))))) # label(t11_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10271 (all A (l1_cat_1(A) & v2_cat_1(A) -> v2_nattra_1(k13_nattra_1(A)) & m3_cat_2(k13_nattra_1(A),A) & v1_cat_1(k13_nattra_1(A)))) # label(dt_k13_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10272 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (r2_nattra_1(A,B,C,D) & v1_nattra_1(E,A,B,C,D) -> k10_nattra_1(A,B,C,D,E) = k9_nattra_1(A,B,C,D,E)))))))))))) # label(d13_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10273 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> k10_cat_1(A,k13_cat_1(B,A,C,D)) = k5_nattra_1(B,A,C,C,k4_nattra_1(B,A,C),D))))))))) # label(t21_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10274 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v1_cat_1(C) & l1_cat_1(C) & v2_cat_1(C) -> (C = k12_nattra_1(A,B) <-> k7_cat_2(A,B) = u1_cat_1(C) & k11_nattra_1(A,B) = u2_cat_1(C) & (all D (m1_subset_1(D,u2_cat_1(C)) -> k2_cat_1(C,D) = k1_mcart_1(k1_mcart_1(D)) & k3_cat_1(C,D) = k2_mcart_1(k1_mcart_1(D)))) & (all D (m1_subset_1(D,u1_cat_1(C)) -> (all E (m2_cat_1(E,A,B) -> (E = D -> k10_cat_1(C,D) = k4_tarski(k4_tarski(E,E),k7_nattra_1(A,B,E))))))) & (all D (m1_subset_1(D,u2_cat_1(C)) -> (all E (m1_subset_1(E,u2_cat_1(C)) -> -((all F (m2_cat_1(F,A,B) -> (all G (m2_cat_1(G,A,B) -> (all H (m2_cat_1(H,A,B) -> (all I (m2_nattra_1(I,A,B,F,G) -> (all J (m2_nattra_1(J,A,B,G,H) -> -(k1_funct_1(u5_cat_1(C),k13_cat_2(C,C,E,D)) = k4_tarski(k4_tarski(F,H),k8_nattra_1(A,B,F,G,H,I,J)) & E = k4_tarski(k4_tarski(G,H),J) & D = k4_tarski(k4_tarski(F,G),I)))))))))))) & r2_hidden(k13_cat_2(C,C,E,D),k1_relat_1(u5_cat_1(C)))))))) & (all D (m1_subset_1(D,u2_cat_1(C)) -> (all E (m1_subset_1(E,u2_cat_1(C)) -> (k2_cat_1(C,E) = k3_cat_1(C,D) -> r2_hidden(k13_cat_2(C,C,E,D),k1_relat_1(u5_cat_1(C))))))))))))))) # label(d18_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10275 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & v2_cat_1(B) -> (exists E m2_nattra_1(E,A,B,C,D)))) # label(existence_m2_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10276 (all A all B (v2_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> v1_cat_1(k12_nattra_1(A,B)) & l1_cat_1(k12_nattra_1(A,B)) & v2_cat_1(k12_nattra_1(A,B)))) # label(dt_k12_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10277 (all A all B all C all D all E all F (-v1_xboole_0(A) & v1_funct_2(F,C,D) & m1_relset_1(F,C,D) & v1_funct_1(F) & m1_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) & -v1_xboole_0(D) & -v1_xboole_0(C) & -v1_xboole_0(B) -> (r4_nattra_1(A,B,C,D,E,F) -> r4_nattra_1(A,B,C,D,F,E)))) # label(symmetry_r4_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10278 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (-v1_xboole_0(D) -> (all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,C,D) & m2_relset_1(F,C,D) -> (r4_nattra_1(A,B,C,D,E,F) <-> C = A & (all G (m1_subset_1(G,A) -> k8_funct_2(A,B,E,G) = k1_funct_1(F,G)))))))))))))))) # label(d17_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10279 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m3_cat_2(B,A) -> u5_cat_1(B) = k1_realset1(u5_cat_1(A),u2_cat_1(B)) & u6_cat_1(B) = k7_relat_1(u6_cat_1(A),u1_cat_1(B)) & k7_relat_1(u4_cat_1(A),u2_cat_1(B)) = u4_cat_1(B) & u3_cat_1(B) = k7_relat_1(u3_cat_1(A),u2_cat_1(B)))))) # label(t8_nattra_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10280 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v3_compts_1(A) -> v4_pre_topc(k1_struct_0(A,B),A)))))) # label(t10_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10281 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_xreal_0(C) -> (v9_metric_1(A) -> r2_hidden(k9_metric_1(A,B,C),k4_pcomps_1(A))))))))) # label(t33_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10282 (all A (l1_metric_1(A) -> r2_hidden(u1_struct_0(A),k4_pcomps_1(A)))) # label(t34_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10283 (all A l1_pre_topc(k2_pcomps_1(A))) # label(dt_k2_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10284 (all A (l1_metric_1(A) -> g1_pre_topc(u1_struct_0(A),k4_pcomps_1(A)) = k5_pcomps_1(A))) # label(d6_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10285 (all A (l1_metric_1(A) -> v2_pre_topc(g1_pre_topc(u1_struct_0(A),k4_pcomps_1(A))) & l1_pre_topc(g1_pre_topc(u1_struct_0(A),k4_pcomps_1(A))))) # label(t37_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10286 (all A (l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_pre_topc(A,B) & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(v1_tops_2(C,A) & r1_pre_topc(A,C) & v1_pcomps_1(C,A) & r1_setfam_1(C,B)))) & v1_tops_2(B,A)))) <-> v2_pcomps_1(A)))) # label(d4_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10287 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(a_3_1_pcomps_1(A,B,C),B))))))) # label(t11_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10288 (all A k1_pcomps_1(A) = u1_pre_topc(k2_pcomps_1(A))) # label(t7_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10289 $T # label(t32_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10290 (all A (l1_metric_1(A) -> v1_pre_topc(k5_pcomps_1(A)) & v2_pre_topc(k5_pcomps_1(A)))) # label(fc3_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10291 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> ((exists E (r2_hidden(E,B) & k6_pre_topc(A,E) = D & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))))) <-> r2_hidden(D,C)))) <-> k3_pcomps_1(A,B) = C))))))) # label(d3_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10292 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_pcomps_1(B,A) -> v1_pcomps_1(k3_pcomps_1(A,B),A)))))) # label(t21_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10293 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (v2_compts_1(A) -> v2_pcomps_1(A)))) # label(t25_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10294 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (k1_tarski(B) = C -> k3_pcomps_1(A,C) = k1_tarski(k6_pre_topc(A,B))))))))) # label(t16_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10295 (all A (v2_pre_topc(k2_pcomps_1(A)) & v1_pre_topc(k2_pcomps_1(A)))) # label(fc1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10296 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (k1_xboole_0 = B -> k3_pcomps_1(A,B) = k1_xboole_0))))) # label(t15_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10297 (exists A (v2_pre_topc(A) & v3_pcomps_1(A) & v1_pre_topc(A) & -v3_struct_0(A) & l1_pre_topc(A))) # label(rc3_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10298 (all A (m1_subset_1(A,k1_zfmisc_1(u1_struct_0(f1_s1_pcomps_1))) -> (r2_hidden(A,f2_s1_pcomps_1) -> r2_hidden(f4_s1_pcomps_1(A),f3_s1_pcomps_1)))) -> (exists A (m2_relset_1(A,f2_s1_pcomps_1,f3_s1_pcomps_1) & (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(f1_s1_pcomps_1))) -> (r2_hidden(B,f2_s1_pcomps_1) -> f4_s1_pcomps_1(B) = k1_funct_1(A,B)))) & v1_funct_2(A,f2_s1_pcomps_1,f3_s1_pcomps_1) & v1_funct_1(A))) # label(s1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10299 (all A all B (-v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m1_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) -> v1_metric_1(k6_pcomps_1(A,B)) & v6_metric_1(k6_pcomps_1(A,B)) & v8_metric_1(k6_pcomps_1(A,B)) & l1_metric_1(k6_pcomps_1(A,B)) & v9_metric_1(k6_pcomps_1(A,B)) & v7_metric_1(k6_pcomps_1(A,B)) & -v3_struct_0(k6_pcomps_1(A,B)))) # label(dt_k6_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10300 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> v2_tops_2(k3_pcomps_1(A,B),A))))) # label(t14_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10301 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> r1_setfam_1(B,k3_pcomps_1(A,B)))))) # label(t20_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10302 $T # label(t6_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10303 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_pre_topc(A,B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & r2_hidden(D,B) & r2_hidden(C,D)))))))))) # label(t5_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10304 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_xreal_0(D) -> -(v9_metric_1(A) & r2_hidden(B,k9_metric_1(A,C,D)) & (all E (m1_subset_1(E,k1_numbers) -> -(-r1_xreal_0(E,np__0) & r1_tarski(k9_metric_1(A,B,E),k9_metric_1(A,C,D)))))))))))))) # label(t30_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10305 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (v3_compts_1(A) & v2_pcomps_1(A) -> v5_compts_1(A)))) # label(t28_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10306 (all A (-v3_struct_0(A) & l1_metric_1(A) -> -v3_struct_0(k5_pcomps_1(A)) & v1_pre_topc(k5_pcomps_1(A)) & v2_pre_topc(k5_pcomps_1(A)))) # label(fc4_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10307 (all A (v7_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & v6_metric_1(A) & -v3_struct_0(A) -> v3_compts_1(k5_pcomps_1(A)))) # label(t38_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10308 (exists A (l1_pre_topc(A) & v2_pre_topc(A) & v3_compts_1(A) & v1_pre_topc(A) & -v3_struct_0(A))) # label(rc2_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10309 (all A v2_compts_1(k2_pcomps_1(k1_tarski(A)))) # label(t9_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10310 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> m1_subset_1(k3_pcomps_1(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k3_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10311 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,C) & v1_pcomps_1(C,A) -> v1_pcomps_1(B,A)))))))) # label(t12_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10312 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),k3_pcomps_1(A,B),k3_pcomps_1(A,C)) = k3_pcomps_1(A,k4_subset_1(k1_zfmisc_1(u1_struct_0(A)),B,C)))))))) # label(t18_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10313 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (k4_pcomps_1(A) = B <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> -((all E (m1_subset_1(E,k1_numbers) -> -(-r1_xreal_0(E,np__0) & r1_tarski(k9_metric_1(A,D,E),C)))) & r2_hidden(D,C)))))))))))) # label(d5_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10314 (all A A = u1_struct_0(k2_pcomps_1(A))) # label(t8_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10315 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) -> (r1_pcomps_1(A,B) -> g1_metric_1(A,B) = k6_pcomps_1(A,B)))))) # label(d8_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10316 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_numbers) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> -(r2_hidden(D,k5_subset_1(u1_struct_0(A),k9_metric_1(A,E,B),k9_metric_1(A,F,C))) & (all G (m1_subset_1(G,k1_numbers) -> -(r1_tarski(k9_metric_1(A,D,G),k9_metric_1(A,F,C)) & r1_tarski(k9_metric_1(A,D,G),k9_metric_1(A,E,B))))) & v9_metric_1(A)))))))))))))) # label(t31_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10317 (all A all B all C all D (l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> ((exists E (-r1_xboole_0(E,D) & r2_hidden(E,C) & A = E & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,a_3_0_pcomps_1(B,C,D))))) # label(fraenkel_a_3_0_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10318 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_pcomps_1(B,A) -> k6_pre_topc(A,k5_setfam_1(u1_struct_0(A),B)) = k5_setfam_1(u1_struct_0(A),k3_pcomps_1(A,B))))))) # label(t23_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10319 $T # label(t3_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10320 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_finset_1(B) -> k6_pre_topc(A,k5_setfam_1(u1_struct_0(A),B)) = k5_setfam_1(u1_struct_0(A),k3_pcomps_1(A,B))))))) # label(t19_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10321 (all A all B all C all D (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) -> ((exists E (A = E & -r1_xboole_0(E,D) & r2_hidden(E,C) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,a_3_1_pcomps_1(B,C,D))))) # label(fraenkel_a_3_1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10322 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> ((exists B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers) & u1_pre_topc(A) = k4_pcomps_1(k6_pcomps_1(u1_struct_0(A),B)) & r1_pcomps_1(u1_struct_0(A),B) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k1_numbers))) <-> v3_pcomps_1(A)))) # label(d9_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10323 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (v3_compts_1(A) & v2_pcomps_1(A) -> v4_compts_1(A)))) # label(t27_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10324 (all A all B (m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & v1_funct_1(B) -> (v8_metric_1(g1_metric_1(A,B)) & l1_metric_1(g1_metric_1(A,B)) & v9_metric_1(g1_metric_1(A,B)) & v7_metric_1(g1_metric_1(A,B)) & v6_metric_1(g1_metric_1(A,B)) <-> r1_pcomps_1(A,B)))) # label(t39_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10325 (all A (-v1_xboole_0(A) -> v1_pre_topc(k2_pcomps_1(A)) & v2_pre_topc(k2_pcomps_1(A)) & -v3_struct_0(k2_pcomps_1(A)))) # label(fc2_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10326 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (v3_pre_topc(D,A) & v1_finset_1(a_3_0_pcomps_1(A,B,D)) & r2_hidden(C,D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))))) <-> v1_pcomps_1(B,A)))))) # label(d2_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10327 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (exists C (m1_subset_1(C,k1_numbers) & -r1_xreal_0(C,np__0) & r1_tarski(k9_metric_1(A,B,C),u1_struct_0(A)))))))) # label(t29_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10328 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,k4_pcomps_1(A)) & r2_hidden(B,k4_pcomps_1(A)) -> r2_hidden(k5_subset_1(u1_struct_0(A),B,C),k4_pcomps_1(A))))))))) # label(t35_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10329 $T # label(t4_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10330 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),k1_numbers) & m2_relset_1(B,k2_zfmisc_1(A,A),k1_numbers) -> ((all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (np__0 = k1_metric_1(A,A,B,C,D) -> C = D) & (D = C -> np__0 = k1_metric_1(A,A,B,C,D)) & k1_metric_1(A,A,B,C,D) = k1_metric_1(A,A,B,D,C) & r1_xreal_0(k1_metric_1(A,A,B,C,E),k3_real_1(k1_metric_1(A,A,B,C,D),k1_metric_1(A,A,B,D,E))))))))) <-> r1_pcomps_1(A,B)))) # label(d7_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10331 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> r1_tarski(k5_setfam_1(u1_struct_0(A),B),k5_setfam_1(u1_struct_0(A),k3_pcomps_1(A,B))))))) # label(t22_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10332 (all A (l1_metric_1(A) -> m1_subset_1(k4_pcomps_1(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k4_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10333 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_xreal_0(C) -> (all D (v1_xreal_0(D) -> (r1_xreal_0(C,D) -> r1_tarski(k9_metric_1(A,B,C),k9_metric_1(A,B,D))))))))))) # label(t1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10334 (all A m1_subset_1(k1_pcomps_1(A),k1_zfmisc_1(k1_zfmisc_1(A)))) # label(dt_k1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10335 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_finset_1(B) -> v1_pcomps_1(B,A)))))) # label(t13_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10336 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(B,A) & r1_xboole_0(B,C) & (all D (m1_subset_1(D,u1_struct_0(A)) -> -((all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(D,F) & r1_xboole_0(E,F) & r1_tarski(B,E) & v3_pre_topc(F,A) & v3_pre_topc(E,A)))))) & r2_hidden(D,C)))) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(E,A) & r1_tarski(B,D) & r1_tarski(C,E) & r1_xboole_0(D,E) & v3_pre_topc(D,A)))))) & v4_pre_topc(C,A) & v2_pcomps_1(A)))))))) # label(t26_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10337 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_pcomps_1(B,A) & v2_tops_2(B,A) -> v4_pre_topc(k5_setfam_1(u1_struct_0(A),B),A)))))) # label(t24_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10338 (all A k1_zfmisc_1(A) = k1_pcomps_1(A)) # label(redefinition_k1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10339 (exists A (l1_pre_topc(A) & -v3_struct_0(A) & v2_pre_topc(A) & v2_pcomps_1(A))) # label(rc1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10340 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,k4_pcomps_1(A)) -> r2_hidden(k5_setfam_1(u1_struct_0(A),B),k4_pcomps_1(A))))))) # label(t36_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10341 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(k1_xboole_0 = k6_pre_topc(A,B) & B != k1_xboole_0) & -(k1_xboole_0 = B & k1_xboole_0 != k6_pre_topc(A,B)))))) # label(t2_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10342 (all A (l1_metric_1(A) -> l1_pre_topc(k5_pcomps_1(A)))) # label(dt_k5_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10343 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(B,C) -> r1_tarski(k3_pcomps_1(A,B),k3_pcomps_1(A,C))))))))) # label(t17_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10344 (all A g1_pre_topc(A,k1_pcomps_1(A)) = k2_pcomps_1(A)) # label(d1_pcomps_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10345 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) -> v1_funct_1(k20_ens_1(A,B)) & m2_relset_1(k20_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & v1_funct_2(k20_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))))) # label(dt_k20_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10346 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (r2_hidden(D,k7_ens_1(A,B,C)) -> k4_tarski(k1_domain_1(A,A,B,C),k2_mcart_1(D)) = D))))))))) # label(t16_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10347 (all A (-v1_xboole_0(A) -> v1_funct_1(k9_ens_1(A)) & m2_relset_1(k9_ens_1(A),k2_ens_1(A),A) & v1_funct_2(k9_ens_1(A),k2_ens_1(A),A))) # label(dt_k9_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.01 10348 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (v1_funct_1(D) & m2_relset_1(D,B,C) & v1_funct_2(D,B,C) -> ((k1_xboole_0 = C -> k1_xboole_0 = B) -> r2_hidden(k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(B,C)),k1_domain_1(A,A,B,C),D),k7_ens_1(A,B,C))))))))))) # label(t15_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10349 (all A (-v1_xboole_0(A) -> v2_cat_1(g1_cat_1(A,k2_ens_1(A),k8_ens_1(A),k9_ens_1(A),k10_ens_1(A),k11_ens_1(A))) & l1_cat_1(g1_cat_1(A,k2_ens_1(A),k8_ens_1(A),k9_ens_1(A),k10_ens_1(A),k11_ens_1(A))))) # label(t21_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10350 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> k6_partfun1(k6_cat_1(A,B,C)) = k22_ens_1(A,k10_cat_1(A,B),k10_cat_1(A,C)))))))) # label(t54_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10351 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> -(v6_cat_1(B,k12_ens_1(A)) & (all C B != k1_tarski(C))))))) # label(t35_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10352 (all A (-v1_xboole_0(A) -> (all B ((exists C (m1_subset_1(C,A) & (exists D (v1_funct_1(B) & v1_funct_2(B,C,D) & m2_relset_1(B,C,D) & (k1_xboole_0 = D -> C = k1_xboole_0) & m1_subset_1(D,A))))) <-> r2_hidden(B,k1_ens_1(A)))))) # label(t1_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10353 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> k16_ens_1(A,B) = B)))) # label(d18_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10354 (all A (-v1_xboole_0(A) -> v2_cat_1(k12_ens_1(A)) & v1_cat_1(k12_ens_1(A)))) # label(fc4_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10355 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m1_subset_1(k5_ens_1(A,B),k2_ens_1(A)))) # label(dt_k5_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10356 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C))) & m2_relset_1(D,k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C))) -> ((all E (m1_subset_1(E,u2_cat_1(A)) -> (r2_hidden(E,k6_cat_1(A,B,k2_cat_1(A,C))) -> k4_cat_1(A,E,C) = k1_funct_1(D,E)))) <-> D = k18_ens_1(A,B,C)))))))))) # label(d20_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10357 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> (v4_cat_1(B,k12_ens_1(A)) -> (all C (m1_subset_1(C,A) -> (all D all E -(D != E & r2_hidden(E,C) & r2_hidden(D,C))))) | v1_ens_1(k16_ens_1(A,B),A)))))) # label(t37_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10358 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> -(v6_cat_1(B,k12_ens_1(A)) & (all C B != k1_tarski(C)) & A != k1_tarski(k1_xboole_0)))))) # label(t34_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10359 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> (v7_cat_1(B,k12_ens_1(A)) & r2_hidden(k1_xboole_0,A) -> k1_xboole_0 = B))))) # label(t31_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10360 (all A (-v1_xboole_0(A) -> v1_funct_1(k10_ens_1(A)) & m2_relset_1(k10_ens_1(A),k2_zfmisc_1(k2_ens_1(A),k2_ens_1(A)),k2_ens_1(A)))) # label(dt_k10_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10361 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) -> r1_tarski(k2_ens_1(B),k2_ens_1(A)))))) # label(t7_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10362 $T # label(dt_k2_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10363 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> m1_subset_1(k16_ens_1(A,B),k2_ens_1(A)))) # label(dt_k16_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10364 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k20_ens_1(A,B) = k1_funct_1(k3_funct_5(k23_ens_1(A)),k10_cat_1(A,B)) & k21_ens_1(A,B) = k1_funct_1(k5_funct_5(k23_ens_1(A)),k10_cat_1(A,B)))))) # label(t57_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10365 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k3_cat_1(A,D) = k2_cat_1(A,C) -> k18_ens_1(A,B,k4_cat_1(A,D,C)) = k1_partfun1(k6_cat_1(A,B,k2_cat_1(A,D)),k6_cat_1(A,B,k3_cat_1(A,D)),k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C)),k18_ens_1(A,B,D),k18_ens_1(A,B,C))))))))))) # label(t45_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10366 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k6_cat_1(A,B,k3_cat_1(A,C)) = k1_xboole_0 -> k1_xboole_0 = k6_cat_1(A,B,k2_cat_1(A,C))) & (k1_xboole_0 = k6_cat_1(A,k2_cat_1(A,C),B) -> k6_cat_1(A,k3_cat_1(A,C),B) = k1_xboole_0))))))) # label(t42_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10367 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> k4_tarski(k1_domain_1(A,A,k3_ens_1(A,B),k4_ens_1(A,B)),k2_mcart_1(B)) = B)))) # label(t8_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10368 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> m1_subset_1(B,k2_ens_1(A)))))) # label(t25_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10369 (all A (-v1_xboole_0(A) -> -v1_xboole_0(k2_ens_1(A)))) # label(fc2_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10370 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> k6_partfun1(k6_cat_1(A,B,C)) = k19_ens_1(A,C,k10_cat_1(A,B)))))))) # label(t44_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10371 (all A all B (l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & v2_cat_1(A) -> v1_funct_1(k21_ens_1(A,B)) & v1_funct_2(k21_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & m2_relset_1(k21_ens_1(A,B),u2_cat_1(A),k2_ens_1(k17_ens_1(A))))) # label(dt_k21_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10372 (all A (-v1_xboole_0(A) -> k2_ens_1(A) = a_1_1_ens_1(A))) # label(d2_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10373 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> m1_subset_1(k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C))),k22_ens_1(A,B,C)),k2_ens_1(k17_ens_1(A))))))))) # label(t52_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10374 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> k10_cat_1(k12_ens_1(A),B) = k5_ens_1(A,k14_ens_1(A,B)))))) # label(t29_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10375 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,k2_ens_1(A)) -> m1_subset_1(k15_ens_1(A,B),u2_cat_1(k12_ens_1(A))))) # label(dt_k15_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10376 (all A all B all C (v2_cat_1(B) & m1_subset_1(C,u1_cat_1(B)) & l1_cat_1(B) & -v1_xboole_0(A) -> m2_cat_1(k24_ens_1(A,B,C),B,k12_ens_1(A)))) # label(dt_k24_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10377 (all A all B (m1_subset_1(B,k2_ens_1(A)) & -v1_xboole_0(A) -> v1_relat_1(k2_mcart_1(B)) & v1_funct_1(k2_mcart_1(B)))) # label(fc3_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10378 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> k7_ens_1(A,B,C) = a_3_0_ens_1(A,B,C))))))) # label(d8_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10379 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k14_cat_2(k2_oppcat_1(B),B,k12_ens_1(A),k26_ens_1(A,B),k3_oppcat_1(B,C)) = k24_ens_1(A,B,C)))))))) # label(t65_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10380 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> k1_mcart_1(k1_mcart_1(B)) = k3_ens_1(A,B))))) # label(d4_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10381 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_1_ens_1(B)) <-> (exists C exists D exists E (m1_subset_1(D,B) & m1_subset_1(E,k1_ens_1(B)) & k1_domain_1(k2_zfmisc_1(B,B),k1_ens_1(B),k1_domain_1(B,B,C,D),E) = A & (D = k1_xboole_0 -> C = k1_xboole_0) & m2_relset_1(E,C,D) & v1_funct_2(E,C,D) & v1_funct_1(E) & m1_subset_1(C,B)))))) # label(fraenkel_a_1_1_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10382 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k21_ens_1(B,C) = k25_ens_1(A,B,C)))))))) # label(d27_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10383 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> k19_ens_1(A,B,C) = k22_ens_1(A,C,k10_cat_1(A,B)) & k22_ens_1(A,k10_cat_1(A,B),C) = k18_ens_1(A,B,C))))))) # label(t53_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10384 $T # label(d3_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10385 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> (all C (m1_subset_1(C,u1_cat_1(k12_ens_1(A))) -> k7_ens_1(A,k14_ens_1(A,B),k14_ens_1(A,C)) = k6_cat_1(k12_ens_1(A),B,C))))))) # label(t27_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10386 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_ens_1(A),A) & v1_funct_2(B,k2_ens_1(A),A) & v1_funct_1(B) -> (B = k8_ens_1(A) <-> (all C (m1_subset_1(C,k2_ens_1(A)) -> k8_funct_2(k2_ens_1(A),A,B,C) = k3_ens_1(A,C)))))))) # label(d10_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10387 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> k4_ens_1(A,B) = k2_mcart_1(k1_mcart_1(B)))))) # label(d5_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10388 (all A (-v1_xboole_0(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(B,k3_cat_1(B,C),k2_cat_1(B,D)),k6_cat_1(B,k2_cat_1(B,C),k3_cat_1(B,D)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B)),k6_cat_1(B,k3_cat_1(B,C),k2_cat_1(B,D)),k6_cat_1(B,k2_cat_1(B,C),k3_cat_1(B,D))),k22_ens_1(B,C,D)) = k8_funct_2(u2_cat_1(k11_cat_2(k2_oppcat_1(B),B)),u2_cat_1(k12_ens_1(A)),k26_ens_1(A,B),k13_cat_2(k2_oppcat_1(B),B,k5_oppcat_1(B,C),D))))))))))) # label(t63_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10389 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v1_funct_2(B,u2_cat_1(k11_cat_2(A,A)),k2_ens_1(k17_ens_1(A))) & m2_relset_1(B,u2_cat_1(k11_cat_2(A,A)),k2_ens_1(k17_ens_1(A))) & v1_funct_1(B) -> (k23_ens_1(A) = B <-> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,k3_cat_1(A,C),k2_cat_1(A,D)),k6_cat_1(A,k2_cat_1(A,C),k3_cat_1(A,D)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,k3_cat_1(A,C),k2_cat_1(A,D)),k6_cat_1(A,k2_cat_1(A,C),k3_cat_1(A,D))),k22_ens_1(A,C,D)) = k8_funct_2(u2_cat_1(k11_cat_2(A,A)),k2_ens_1(k17_ens_1(A)),B,k13_cat_2(A,A,C,D))))))))))) # label(d25_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10390 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (r2_hidden(D,k7_ens_1(A,B,C)) -> r2_hidden(k2_mcart_1(D),k1_funct_2(B,C))))))))))) # label(t20_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10391 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (r1_tarski(k17_ens_1(B),A) -> k26_ens_1(A,B) = k23_ens_1(B)))))) # label(d28_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10392 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> (all C (m1_subset_1(C,u2_cat_1(k12_ens_1(A))) -> (k3_cat_1(k12_ens_1(A),C) = k2_cat_1(k12_ens_1(A),B) -> k4_cat_1(k12_ens_1(A),C,B) = k6_ens_1(A,k16_ens_1(A,C),k16_ens_1(A,B))))))))) # label(t28_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10393 (all A all B (l1_cat_1(B) & v2_cat_1(B) -> ((exists C exists D (k6_cat_1(B,C,D) = A & m1_subset_1(D,u1_cat_1(B)) & m1_subset_1(C,u1_cat_1(B)))) <-> r2_hidden(A,a_1_3_ens_1(B))))) # label(fraenkel_a_1_3_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10394 (all A (-v1_xboole_0(A) -> l1_cat_1(k12_ens_1(A)))) # label(dt_k12_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10395 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> (v7_cat_1(B,k12_ens_1(A)) -> k1_xboole_0 = B))))) # label(t32_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10396 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m2_relset_1(D,B,C) & v1_funct_2(D,B,C) & v1_funct_1(D) -> ((C = k1_xboole_0 -> B = k1_xboole_0) -> r2_hidden(k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(B,C)),k1_domain_1(A,A,B,C),D),k2_ens_1(A))))))))))) # label(t5_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10397 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (k3_cat_1(A,D) = k2_cat_1(A,C) -> k19_ens_1(A,B,k4_cat_1(A,D,C)) = k1_partfun1(k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B),k6_cat_1(A,k3_cat_1(A,D),B),k6_cat_1(A,k2_cat_1(A,D),B),k19_ens_1(A,B,C),k19_ens_1(A,B,D))))))))))) # label(t46_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10398 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> k2_mcart_1(k5_ens_1(A,B)) = k6_partfun1(B) & k4_ens_1(A,k5_ens_1(A,B)) = B & k3_ens_1(A,k5_ens_1(A,B)) = B)))) # label(t11_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10399 (all A all B (-v1_xboole_0(A) & l1_cat_1(B) & v2_cat_1(B) -> m2_cat_1(k26_ens_1(A,B),k11_cat_2(k2_oppcat_1(B),B),k12_ens_1(A)))) # label(dt_k26_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10400 (all A (-v1_xboole_0(A) -> (all B (v1_relat_1(B) & v1_funct_1(B) -> (all C all D (r2_hidden(k4_tarski(k4_tarski(C,D),B),k2_ens_1(A)) -> v1_funct_1(B) & v1_funct_2(B,C,D) & m2_relset_1(B,C,D) & (k1_xboole_0 = D -> k1_xboole_0 = C))))))) # label(t10_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10401 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m2_relset_1(D,k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B)) & v1_funct_2(D,k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B)) & v1_funct_1(D) -> ((all E (m1_subset_1(E,u2_cat_1(A)) -> (r2_hidden(E,k6_cat_1(A,k3_cat_1(A,C),B)) -> k4_cat_1(A,C,E) = k1_funct_1(D,E)))) <-> D = k19_ens_1(A,B,C)))))))))) # label(d21_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10402 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> -(k1_xboole_0 = k4_ens_1(A,B) & k1_xboole_0 != k3_ens_1(A,B)) & m2_relset_1(k2_mcart_1(B),k3_ens_1(A,B),k4_ens_1(A,B)) & v1_funct_2(k2_mcart_1(B),k3_ens_1(A,B),k4_ens_1(A,B)) & v1_funct_1(k2_mcart_1(B)))))) # label(t9_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10403 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> k5_ens_1(A,B) = k1_domain_1(k2_zfmisc_1(A,A),k1_zfmisc_1(k2_zfmisc_1(B,B)),k1_domain_1(A,A,B,B),k6_partfun1(B)))))) # label(d6_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10404 (all A (v2_cat_1(A) & l1_cat_1(A) -> -v1_xboole_0(k17_ens_1(A)))) # label(fc5_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10405 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> k18_ens_1(A,B,k10_cat_1(A,C)) = k6_partfun1(k6_cat_1(A,B,C)))))))) # label(t43_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10406 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,k2_ens_1(A)) -> m1_subset_1(k4_ens_1(A,B),A))) # label(dt_k4_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10407 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> B = k6_ens_1(A,B,k5_ens_1(A,k4_ens_1(A,B))) & k6_ens_1(A,k5_ens_1(A,k3_ens_1(A,B)),B) = B)))) # label(t14_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10408 (all A (-v1_xboole_0(A) -> r1_tarski(k2_ens_1(A),k2_zfmisc_1(k2_zfmisc_1(A,A),k1_ens_1(A))))) # label(t6_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10409 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) -> r1_cat_2(k12_ens_1(B),k12_ens_1(A)))))) # label(t40_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10410 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> m1_subset_1(k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C))),k18_ens_1(A,B,C)),k2_ens_1(k17_ens_1(A))))))))) # label(t47_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10411 (all A (-v1_xboole_0(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k6_cat_1(B,C,D) = k8_funct_2(u1_cat_1(k11_cat_2(k2_oppcat_1(B),B)),u1_cat_1(k12_ens_1(A)),k12_cat_1(k11_cat_2(k2_oppcat_1(B),B),k12_ens_1(A),k26_ens_1(A,B)),k12_cat_2(k2_oppcat_1(B),B,k3_oppcat_1(B,C),D))))))))))) # label(t64_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10412 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(k2_ens_1(A),k2_ens_1(A)),k2_ens_1(A)) & v1_funct_1(B) -> ((all C (m1_subset_1(C,k2_ens_1(A)) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (r2_hidden(k1_domain_1(k2_ens_1(A),k2_ens_1(A),C,D),k1_relat_1(B)) <-> k3_ens_1(A,C) = k4_ens_1(A,D)))))) & (all C (m1_subset_1(C,k2_ens_1(A)) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (k4_ens_1(A,D) = k3_ens_1(A,C) -> k6_ens_1(A,D,C) = k1_funct_1(B,k1_domain_1(k2_ens_1(A),k2_ens_1(A),C,D))))))) <-> B = k10_ens_1(A)))))) # label(d12_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10413 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> k14_ens_1(A,B) = B)))) # label(d16_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10414 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> (all C (m1_subset_1(C,k2_ens_1(A)) -> (k3_ens_1(A,B) = k4_ens_1(A,C) -> k4_ens_1(A,B) = k4_ens_1(A,k6_ens_1(A,C,B)) & k3_ens_1(A,k6_ens_1(A,C,B)) = k3_ens_1(A,C) & k2_mcart_1(k6_ens_1(A,C,B)) = k5_relat_1(k2_mcart_1(C),k2_mcart_1(B))))))))) # label(t12_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10415 $T # label(dt_k1_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10416 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k8_funct_2(u2_cat_1(B),u2_cat_1(k12_ens_1(A)),k25_ens_1(A,B,C),D) = k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(B,k3_cat_1(B,D),C),k6_cat_1(B,k2_cat_1(B,D),C))),k1_domain_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B)),k6_cat_1(B,k3_cat_1(B,D),C),k6_cat_1(B,k2_cat_1(B,D),C)),k19_ens_1(B,C,D))))))))))) # label(t61_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10417 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> m1_subset_1(k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B)),k19_ens_1(A,B,C)),k2_ens_1(k17_ens_1(A))))))))) # label(t48_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10418 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k20_ens_1(B,C) = k24_ens_1(A,B,C)))))))) # label(d26_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10419 (all A (-v1_xboole_0(A) -> v1_funct_1(k8_ens_1(A)) & v1_funct_2(k8_ens_1(A),k2_ens_1(A),A) & m2_relset_1(k8_ens_1(A),k2_ens_1(A),A))) # label(dt_k8_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10420 (all A all B all C (l1_cat_1(A) & m1_subset_1(B,u2_cat_1(A)) & m1_subset_1(C,u2_cat_1(A)) & v2_cat_1(A) -> v1_funct_2(k22_ens_1(A,B,C),k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C))) & m2_relset_1(k22_ens_1(A,B,C),k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C))) & v1_funct_1(k22_ens_1(A,B,C)))) # label(dt_k22_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10421 (all A all B (-v1_xboole_0(B) -> ((exists C exists D (k7_ens_1(B,C,D) = A & m1_subset_1(D,B) & m1_subset_1(C,B))) <-> r2_hidden(A,a_1_2_ens_1(B))))) # label(fraenkel_a_1_2_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10422 (all A (-v1_xboole_0(A) -> k1_ens_1(A) = k3_tarski(a_1_0_ens_1(A)))) # label(d1_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10423 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> (all C (m1_subset_1(C,k2_ens_1(A)) -> (k3_ens_1(A,C) = k4_ens_1(A,B) -> k6_ens_1(A,B,C) = k4_tarski(k1_domain_1(A,A,k3_ens_1(A,B),k4_ens_1(A,C)),k5_relat_1(k2_mcart_1(B),k2_mcart_1(C)))))))))) # label(d7_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10424 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> B = k13_ens_1(A,B))))) # label(d15_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10425 $T # label(dt_k7_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10426 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> (exists C ((exists D ((exists E (v1_funct_1(C) & m2_relset_1(C,D,E) & v1_funct_2(C,D,E) & (k1_xboole_0 = E -> D = k1_xboole_0) & B = k1_domain_1(k2_zfmisc_1(A,A),k1_ens_1(A),k1_domain_1(A,A,D,E),C) & m1_subset_1(E,A))) & m1_subset_1(D,A))) & m1_subset_1(C,k1_ens_1(A)))))))) # label(t4_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10427 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> m1_subset_1(B,A))))) # label(t23_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10428 (all A (-v1_xboole_0(A) -> m2_relset_1(k11_ens_1(A),A,k2_ens_1(A)) & v1_funct_2(k11_ens_1(A),A,k2_ens_1(A)) & v1_funct_1(k11_ens_1(A)))) # label(dt_k11_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10429 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> r1_tarski(k1_funct_2(B,C),k1_ens_1(A)))))))) # label(t2_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10430 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,A,k2_ens_1(A)) & m2_relset_1(B,A,k2_ens_1(A)) -> (k11_ens_1(A) = B <-> (all C (m1_subset_1(C,A) -> k8_funct_2(A,k2_ens_1(A),B,C) = k5_ens_1(A,C)))))))) # label(d13_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10431 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> m1_subset_1(B,u2_cat_1(k12_ens_1(A))))))) # label(t24_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10432 (all A all B all C all D (m1_subset_1(D,B) & m1_subset_1(C,B) & -v1_xboole_0(B) -> (r2_hidden(A,a_3_0_ens_1(B,C,D)) <-> (exists E (m1_subset_1(E,k1_ens_1(B)) & A = k1_domain_1(k2_zfmisc_1(B,B),k1_ens_1(B),k1_domain_1(B,B,C,D),E) & r2_hidden(k1_domain_1(k2_zfmisc_1(B,B),k1_ens_1(B),k1_domain_1(B,B,C,D),E),k2_ens_1(B))))))) # label(fraenkel_a_3_0_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10433 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_ens_1(A),A) & v1_funct_2(B,k2_ens_1(A),A) & v1_funct_1(B) -> ((all C (m1_subset_1(C,k2_ens_1(A)) -> k8_funct_2(k2_ens_1(A),A,B,C) = k4_ens_1(A,C))) <-> k9_ens_1(A) = B))))) # label(d11_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10434 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> k15_ens_1(A,B) = B)))) # label(d17_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10435 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k15_cat_2(k2_oppcat_1(B),B,k12_ens_1(A),k26_ens_1(A,B),C) = k25_ens_1(A,B,C)))))))) # label(t66_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10436 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> m1_oppcat_1(k21_ens_1(B,C),B,k12_ens_1(A))))))))) # label(t50_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10437 (all A all B (m1_subset_1(B,A) & -v1_xboole_0(A) -> m1_subset_1(k13_ens_1(A,B),u1_cat_1(k12_ens_1(A))))) # label(dt_k13_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10438 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (v1_funct_2(C,u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & m2_relset_1(C,u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & v1_funct_1(C) -> (C = k21_ens_1(A,B) <-> (all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),k2_ens_1(k17_ens_1(A)),C,D) = k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,k3_cat_1(A,D),B),k6_cat_1(A,k2_cat_1(A,D),B))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,k3_cat_1(A,D),B),k6_cat_1(A,k2_cat_1(A,D),B)),k19_ens_1(A,B,D))))))))))) # label(d23_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10439 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> ((exists C k1_tarski(C) = B) -> v6_cat_1(B,k12_ens_1(A))))))) # label(t33_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10440 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(B,C,k2_cat_1(B,D)),k6_cat_1(B,C,k3_cat_1(B,D)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(B)),k1_zfmisc_1(u2_cat_1(B)),k6_cat_1(B,C,k2_cat_1(B,D)),k6_cat_1(B,C,k3_cat_1(B,D))),k18_ens_1(B,C,D)) = k8_funct_2(u2_cat_1(B),u2_cat_1(k12_ens_1(A)),k24_ens_1(A,B,C),D)))))))))) # label(t59_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10441 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> m2_cat_1(k20_ens_1(B,C),B,k12_ens_1(A))))))))) # label(t49_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10442 (all A (l1_cat_1(A) & v2_cat_1(A) -> v1_funct_2(k23_ens_1(A),u2_cat_1(k11_cat_2(A,A)),k2_ens_1(k17_ens_1(A))) & m2_relset_1(k23_ens_1(A),u2_cat_1(k11_cat_2(A,A)),k2_ens_1(k17_ens_1(A))) & v1_funct_1(k23_ens_1(A)))) # label(dt_k23_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10443 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> k1_partfun1(k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C)),k19_ens_1(A,k2_cat_1(A,C),B),k18_ens_1(A,k2_cat_1(A,B),C)) = k22_ens_1(A,B,C))))))) # label(t55_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10444 (all A all B all C (v2_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u2_cat_1(A)) & l1_cat_1(A) -> v1_funct_1(k19_ens_1(A,B,C)) & m2_relset_1(k19_ens_1(A,B,C),k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B)) & v1_funct_2(k19_ens_1(A,B,C),k6_cat_1(A,k3_cat_1(A,C),B),k6_cat_1(A,k2_cat_1(A,C),B)))) # label(dt_k19_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10445 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> (v3_cat_1(B,k12_ens_1(A)) <-> v2_funct_1(k2_mcart_1(k16_ens_1(A,B)))))))) # label(t36_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10446 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> r2_hidden(k6_cat_1(A,B,C),k17_ens_1(A)))))))) # label(t41_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10447 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k3_cat_1(A,E) = k2_cat_1(A,D) & k3_cat_1(A,B) = k2_cat_1(A,C) -> k22_ens_1(A,k4_cat_1(A,B,C),k4_cat_1(A,E,D)) = k1_partfun1(k6_cat_1(A,k3_cat_1(A,C),k2_cat_1(A,E)),k6_cat_1(A,k2_cat_1(A,C),k3_cat_1(A,E)),k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,D)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,D)),k22_ens_1(A,C,E),k22_ens_1(A,B,D))))))))))))) # label(t56_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10448 (all A all B all C (m1_subset_1(C,u1_cat_1(B)) & l1_cat_1(B) & v2_cat_1(B) & -v1_xboole_0(A) -> m1_oppcat_1(k25_ens_1(A,B,C),B,k12_ens_1(A)))) # label(dt_k25_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10449 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) -> r1_tarski(k1_ens_1(B),k1_ens_1(A)))))) # label(t3_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10450 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> m1_subset_1(B,u1_cat_1(k12_ens_1(A))))))) # label(t22_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10451 (all A (l1_cat_1(A) & v2_cat_1(A) -> k17_ens_1(A) = a_1_3_ens_1(A))) # label(d19_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10452 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (r1_tarski(k17_ens_1(B),A) -> m2_cat_1(k23_ens_1(B),k11_cat_2(k2_oppcat_1(B),B),k12_ens_1(A))))))) # label(t58_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10453 (all A (-v1_xboole_0(A) -> -v1_xboole_0(k1_ens_1(A)) & v1_fraenkel(k1_ens_1(A)))) # label(fc1_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10454 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C))) & m2_relset_1(D,k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)),k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C))) -> (D = k22_ens_1(A,B,C) <-> (all E (m1_subset_1(E,u2_cat_1(A)) -> (r2_hidden(E,k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C))) -> k4_cat_1(A,B,k4_cat_1(A,E,C)) = k1_funct_1(D,E))))))))))))) # label(d24_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10455 (all A all B (m1_subset_1(B,k2_ens_1(A)) & -v1_xboole_0(A) -> m1_subset_1(k3_ens_1(A,B),A))) # label(dt_k3_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10456 (all A (-v1_xboole_0(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k8_funct_2(u1_cat_1(B),u1_cat_1(k12_ens_1(A)),k12_cat_1(B,k12_ens_1(A),k25_ens_1(A,B,C)),D) = k6_cat_1(B,D,C)))))))))) # label(t62_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10457 $T # label(dt_k17_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10458 (all A all B (-v1_xboole_0(B) -> (r2_hidden(A,a_1_0_ens_1(B)) <-> (exists C exists D (A = k1_funct_2(C,D) & m1_subset_1(D,B) & m1_subset_1(C,B)))))) # label(fraenkel_a_1_0_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10459 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (v1_funct_1(C) & m2_relset_1(C,u2_cat_1(A),k2_ens_1(k17_ens_1(A))) & v1_funct_2(C,u2_cat_1(A),k2_ens_1(k17_ens_1(A))) -> (C = k20_ens_1(A,B) <-> (all D (m1_subset_1(D,u2_cat_1(A)) -> k1_domain_1(k2_zfmisc_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A))),k1_zfmisc_1(k2_zfmisc_1(k6_cat_1(A,B,k2_cat_1(A,D)),k6_cat_1(A,B,k3_cat_1(A,D)))),k1_domain_1(k1_zfmisc_1(u2_cat_1(A)),k1_zfmisc_1(u2_cat_1(A)),k6_cat_1(A,B,k2_cat_1(A,D)),k6_cat_1(A,B,k3_cat_1(A,D))),k18_ens_1(A,B,D)) = k8_funct_2(u2_cat_1(A),k2_ens_1(k17_ens_1(A)),C,D)))))))))) # label(d22_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10460 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> r1_tarski(k7_ens_1(A,B,C),k2_ens_1(A)))))))) # label(t17_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10461 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> (v1_ens_1(k16_ens_1(A,B),A) -> v4_cat_1(B,k12_ens_1(A))))))) # label(t38_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10462 (all A (-v1_xboole_0(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(B)) -> (all D (m1_subset_1(D,u1_cat_1(B)) -> (r1_tarski(k17_ens_1(B),A) -> k8_funct_2(u1_cat_1(B),u1_cat_1(k12_ens_1(A)),k12_cat_1(B,k12_ens_1(A),k24_ens_1(A,B,C)),D) = k6_cat_1(B,C,D)))))))))) # label(t60_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10463 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> (all C (m1_subset_1(C,k2_ens_1(A)) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (k3_ens_1(A,B) = k4_ens_1(A,C) & k3_ens_1(A,D) = k4_ens_1(A,B) -> k6_ens_1(A,k6_ens_1(A,C,B),D) = k6_ens_1(A,C,k6_ens_1(A,B,D))))))))))) # label(t13_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10464 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> k4_ens_1(A,k16_ens_1(A,B)) = k3_cat_1(k12_ens_1(A),B) & k3_ens_1(A,k16_ens_1(A,B)) = k2_cat_1(k12_ens_1(A),B))))) # label(t26_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10465 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> (k1_xboole_0 = B -> v7_cat_1(B,k12_ens_1(A))))))) # label(t30_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10466 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,k2_ens_1(A)) -> (r2_hidden(D,k7_ens_1(A,B,C)) <-> k4_ens_1(A,D) = C & B = k3_ens_1(A,D)))))))))) # label(t19_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10467 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,k2_ens_1(A)) & m1_subset_1(B,k2_ens_1(A)) -> m1_subset_1(k6_ens_1(A,B,C),k2_ens_1(A)))) # label(dt_k6_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10468 (all A all B all C (l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u2_cat_1(A)) & v2_cat_1(A) -> v1_funct_1(k18_ens_1(A,B,C)) & v1_funct_2(k18_ens_1(A,B,C),k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C))) & m2_relset_1(k18_ens_1(A,B,C),k6_cat_1(A,B,k2_cat_1(A,C)),k6_cat_1(A,B,k3_cat_1(A,C))))) # label(dt_k18_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10469 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k2_ens_1(A)) -> (v1_ens_1(B,A) <-> k2_relat_1(k2_mcart_1(B)) = k4_ens_1(A,B)))))) # label(d9_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10470 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,u2_cat_1(k12_ens_1(A))) -> (v4_cat_1(B,k12_ens_1(A)) -> v1_ens_1(k16_ens_1(A,B),A)))))) # label(t39_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10471 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k1_xboole_0 = k6_cat_1(A,k2_cat_1(A,B),k3_cat_1(A,C)) -> k6_cat_1(A,k3_cat_1(A,B),k2_cat_1(A,C)) = k1_xboole_0))))))) # label(t51_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10472 (all A (-v1_xboole_0(A) -> k3_tarski(a_1_2_ens_1(A)) = k2_ens_1(A))) # label(t18_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10473 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,u1_cat_1(k12_ens_1(A))) -> m1_subset_1(k14_ens_1(A,B),A))) # label(dt_k14_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10474 (all A (-v1_xboole_0(A) -> g1_cat_1(A,k2_ens_1(A),k8_ens_1(A),k9_ens_1(A),k10_ens_1(A),k11_ens_1(A)) = k12_ens_1(A))) # label(d14_ens_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10475 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v3_pre_topc(C,A) & v3_pre_topc(D,B) -> v3_pre_topc(k7_borsuk_1(A,B,C,D),k6_borsuk_1(A,B))))))))))) # label(t46_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10476 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) -> k2_funcop_1(B,C) = k1_borsuk_1(A,B,C))) # label(redefinition_k1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10477 $T # label(t1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10478 $T # label(t8_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10479 $T # label(t3_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10480 (all A all B all C (r1_tarski(A,k2_zfmisc_1(B,C)) -> k1_funct_1(k1_funct_3(k9_funct_3(B,C)),A) = k2_funct_2(k2_zfmisc_1(B,C),B,k9_funct_3(B,C),A))) # label(t9_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10481 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) -> k5_setfam_1(B,k2_funct_2(k1_zfmisc_1(A),k1_zfmisc_1(B),k2_funct_3(A,B,C),D)) = k2_funct_2(A,B,C,k5_setfam_1(A,D)))))))) # label(t16_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10482 (all A all B (-v3_struct_0(A) & l1_pre_topc(A) & m1_eqrel_1(B,u1_struct_0(A)) & -v1_xboole_0(B) & v2_pre_topc(A) -> v5_pre_topc(k17_borsuk_1(A,B),A,k16_borsuk_1(A,B)) & m2_relset_1(k17_borsuk_1(A,B),u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,B))) & v1_funct_2(k17_borsuk_1(A,B),u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,B))) & v1_funct_1(k17_borsuk_1(A,B)))) # label(dt_k17_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10483 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> k18_borsuk_1(A,B,C) = k2_xboole_0(C,a_2_3_borsuk_1(A,B)))))))) # label(d12_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.02 10484 (all A all B all C all D all E (-v3_struct_0(A) & l1_pre_topc(A) & -v3_struct_0(B) & l1_pre_topc(B) & l1_pre_topc(C) & v1_funct_1(D) & v5_pre_topc(D,A,B) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(E,B,C) & v1_funct_1(E) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v2_pre_topc(C) & -v3_struct_0(C) & v2_pre_topc(B) & v2_pre_topc(A) -> v1_funct_1(k4_borsuk_1(A,B,C,D,E)) & v5_pre_topc(k4_borsuk_1(A,B,C,D,E),A,C) & m2_relset_1(k4_borsuk_1(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)) & v1_funct_2(k4_borsuk_1(A,B,C,D,E),u1_struct_0(A),u1_struct_0(C)))) # label(dt_k4_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10485 (all A all B (-v3_struct_0(A) & l1_pre_topc(A) & -v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(A) -> v2_pre_topc(k6_borsuk_1(A,B)) & v1_pre_topc(k6_borsuk_1(A,B)) & -v3_struct_0(k6_borsuk_1(A,B)))) # label(fc2_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10486 (all A all B all C (l1_struct_0(A) & m1_subset_1(C,u1_struct_0(B)) & l1_struct_0(B) & -v3_struct_0(B) -> v1_funct_2(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(k3_borsuk_1(A,B,C)))) # label(dt_k3_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10487 (all A all B (v2_pre_topc(A) & m1_eqrel_1(B,u1_struct_0(A)) & -v1_xboole_0(B) & l1_pre_topc(A) & -v3_struct_0(A) -> v2_pre_topc(k16_borsuk_1(A,B)) & v1_pre_topc(k16_borsuk_1(A,B)) & -v3_struct_0(k16_borsuk_1(A,B)))) # label(fc4_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10488 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> r1_tarski(k5_setfam_1(u1_struct_0(k6_borsuk_1(A,B)),k11_borsuk_1(A,B,C)),C))))))) # label(t53_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10489 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(D,k18_borsuk_1(A,B,C)) & -r2_hidden(D,C) & (all E (m1_subset_1(E,u1_struct_0(A)) -> -(-r2_hidden(E,k2_pre_topc(B)) & k1_struct_0(A,E) = D)))))))))))) # label(t74_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10490 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_borsuk_1(B,A) -> m1_eqrel_1(B,u1_struct_0(A)) & -v1_xboole_0(B))))) # label(dt_m1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10491 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,k18_borsuk_1(A,B,C))),k17_borsuk_1(A,k18_borsuk_1(A,B,C)),E) = k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,k18_borsuk_1(A,B,C))),k17_borsuk_1(A,k18_borsuk_1(A,B,C)),D) -> D = E | r2_hidden(D,u1_struct_0(B))))))))))))) # label(t78_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10492 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k3_tarski(a_2_0_borsuk_1(A,B)) = k3_tarski(k5_setfam_1(A,B)))) # label(t17_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10493 $T # label(t43_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10494 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(B)) -> (k12_mcart_1(A,B,C,D) != k1_xboole_0 -> C = k1_funct_1(k1_funct_3(k9_funct_3(A,B)),k12_mcart_1(A,B,C,D)) & D = k1_funct_1(k1_funct_3(k10_funct_3(A,B)),k12_mcart_1(A,B,C,D))))))) # label(t13_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10495 (all A all B all C r1_tarski(k9_relat_1(k2_funcop_1(A,B),C),k1_tarski(B))) # label(t6_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10496 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_eqrel_1(B,u1_struct_0(A)) -> (all C (v1_pre_topc(C) & v2_pre_topc(C) & l1_pre_topc(C) -> (k16_borsuk_1(A,B) = C <-> u1_pre_topc(C) = a_2_2_borsuk_1(A,B) & B = u1_struct_0(C)))))))) # label(d10_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10497 (all A all B all C all D all E (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(C,u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(D,A,B) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & m1_connsp_2(E,B,C) & v1_funct_1(D) & l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> m2_connsp_2(k5_borsuk_1(A,B,C,D,E),A,k5_pre_topc(A,B,D,k1_struct_0(B,C))))) # label(dt_k5_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10498 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> k5_setfam_1(u1_struct_0(k6_borsuk_1(A,B)),k11_borsuk_1(A,B,C)) = k1_tops_1(k6_borsuk_1(A,B),C))))))) # label(t55_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10499 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_compts_1(k6_borsuk_1(A,B),C,k7_borsuk_1(A,B,D,E)) -> (D != k1_xboole_0 -> r1_compts_1(B,k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(B),k13_borsuk_1(A,B),C),E)) & (E != k1_xboole_0 -> r1_compts_1(A,k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(A),k12_borsuk_1(A,B),C),D))))))))))))) # label(t62_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10500 (all A all B (l1_pre_topc(A) & -v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(A) & -v3_struct_0(A) -> m2_relset_1(k12_borsuk_1(A,B),k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(A))) & v1_funct_2(k12_borsuk_1(A,B),k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(A))) & v1_funct_1(k12_borsuk_1(A,B)))) # label(dt_k12_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10501 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (v3_pre_topc(C,k6_borsuk_1(A,B)) -> C = k5_setfam_1(u1_struct_0(k6_borsuk_1(A,B)),k11_borsuk_1(A,B,C))))))))) # label(t54_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10502 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,C) -> k8_funct_2(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C),k16_funct_3(A,C,B,C,D,k6_partfun1(C)),k1_domain_1(A,C,E,F)) = k1_domain_1(B,C,k8_funct_2(A,B,D,E),F))))))))))))) # label(t21_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10503 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_borsuk_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(k16_borsuk_1(A,B))) -> (all D (m2_connsp_2(D,A,k5_pre_topc(A,k16_borsuk_1(A,B),k17_borsuk_1(A,B),k1_struct_0(k16_borsuk_1(A,B),C))) -> m1_connsp_2(k4_pre_topc(A,k16_borsuk_1(A,B),k17_borsuk_1(A,B),D),k16_borsuk_1(A,B),C))))))))) # label(t81_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10504 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & -v3_struct_0(B) & v1_borsuk_1(B,A) & v2_pre_topc(B) & v1_pre_topc(B))))) # label(rc4_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10505 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) -> k2_borsuk_1(u1_struct_0(A),B) = k17_borsuk_1(A,B))))) # label(d11_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10506 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> k13_borsuk_1(A,B) = k2_funct_3(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B),k10_funct_3(u1_struct_0(A),u1_struct_0(B))))))) # label(d8_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10507 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) -> m2_relset_1(k1_borsuk_1(A,B,C),B,A) & v1_funct_2(k1_borsuk_1(A,B,C),B,A) & v1_funct_1(k1_borsuk_1(A,B,C)))) # label(dt_k1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10508 $T # label(t2_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10509 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,B) -> (all E (m2_relset_1(E,A,B) & v1_funct_2(E,A,B) & v1_funct_1(E) -> (all F (v1_funct_2(F,B,C) & m2_relset_1(F,B,C) & v1_funct_1(F) -> r1_tarski(k3_funct_2(A,B,E,k6_domain_1(B,D)),k3_funct_2(A,C,k7_funct_2(A,B,C,E,F),k6_domain_1(C,k8_funct_2(B,C,F,D)))))))))))))))) # label(t20_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10510 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_borsuk_1(B,A) & -v3_struct_0(B) -> (all C (v2_borsuk_1(C,B) & m1_borsuk_1(C,B) -> (r2_borsuk_1(A,B) -> r2_borsuk_1(k16_borsuk_1(A,k20_borsuk_1(A,B,C)),k21_borsuk_1(A,B,C))))))))) # label(t85_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10511 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> ((all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (r2_hidden(D,B) -> r1_xboole_0(D,C) | r1_tarski(D,C)))) -> k3_funct_2(A,B,k2_borsuk_1(A,B),k2_funct_2(A,B,k2_borsuk_1(A,B),C)) = C))))))) # label(t33_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10512 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (k7_borsuk_1(A,B,C,D) != k1_xboole_0 -> D = k8_funct_2(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(B)),k13_borsuk_1(A,B),k7_borsuk_1(A,B,C,D)) & C = k8_funct_2(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(A)),k12_borsuk_1(A,B),k7_borsuk_1(A,B,C,D))))))))))) # label(t65_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10513 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> (k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(B),k13_borsuk_1(A,B),C) = k1_xboole_0 | k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(A),k12_borsuk_1(A,B),C) = k1_xboole_0 -> C = k1_xboole_0))))))) # label(t61_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10514 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r2_hidden(C,k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,B)),k17_borsuk_1(A,B),C)))))))) # label(t70_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10515 (all A (-v1_xboole_0(A) -> (all B (m1_eqrel_1(B,A) & -v1_xboole_0(B) -> (all C (m2_subset_1(C,k1_zfmisc_1(A),B) -> (exists D (m1_subset_1(D,A) & k8_funct_2(A,B,k2_borsuk_1(A,B),D) = C)))))))) # label(t32_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10516 (all A (-v1_xboole_0(A) -> (all B (m1_eqrel_1(B,A) & -v1_xboole_0(B) -> (all C (m2_subset_1(C,k1_zfmisc_1(A),B) -> C = k3_funct_2(A,B,k2_borsuk_1(A,B),k6_domain_1(B,C)))))))) # label(t30_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10517 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_borsuk_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> v4_pre_topc(C,A))))))))) # label(d14_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10518 $T # label(t22_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10519 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> (all D -((all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> -(r2_hidden(E,C) & D = k2_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B),k10_funct_3(u1_struct_0(A),u1_struct_0(B)),E)))) & r2_hidden(D,k2_funct_2(k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(B)),k13_borsuk_1(A,B),C)))))))))) # label(t58_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10520 (all A all B all C (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) & m1_borsuk_1(C,B) & -v3_struct_0(B) -> m1_borsuk_1(k19_borsuk_1(A,B,C),A))) # label(dt_k19_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10521 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> (v6_compts_1(C,A) <-> v6_compts_1(D,B))))))))))) # label(t42_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10522 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) & v5_pre_topc(D,B,A) -> (all E (m1_connsp_2(E,A,C) -> m2_connsp_2(k5_pre_topc(B,A,D,E),B,k5_pre_topc(B,A,D,k1_struct_0(A,C))))))))))))) # label(t38_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10523 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,u1_struct_0(k6_borsuk_1(A,B))) -> (exists D ((exists E (k8_borsuk_1(A,B,D,E) = C & m1_subset_1(E,u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(A)))))))))) # label(t50_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10524 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_eqrel_1(C,u1_struct_0(B)) & -v1_xboole_0(C) -> (all D (r2_hidden(D,u1_struct_0(B)) -> r2_hidden(k1_funct_1(k17_borsuk_1(A,k18_borsuk_1(A,B,C)),D),u1_struct_0(k16_borsuk_1(B,C))))))))))) # label(t80_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10525 (all A all B all C (v1_funct_1(C) & v1_relat_1(C) -> (r1_tarski(A,k10_relat_1(C,B)) -> r1_tarski(k9_relat_1(C,A),B)))) # label(t5_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10526 (all A all B (v2_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) & l1_pre_topc(A) & -v3_struct_0(A) -> v1_funct_2(k13_borsuk_1(A,B),k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(B))) & m2_relset_1(k13_borsuk_1(A,B),k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(B))) & v1_funct_1(k13_borsuk_1(A,B)))) # label(dt_k13_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10527 $T # label(t11_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10528 (all A all B all C (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_eqrel_1(C,u1_struct_0(B)) & -v1_xboole_0(C) & m1_pre_topc(B,A) & -v3_struct_0(B) -> m1_eqrel_1(k18_borsuk_1(A,B,C),u1_struct_0(A)) & -v1_xboole_0(k18_borsuk_1(A,B,C)))) # label(dt_k18_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10529 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v1_borsuk_1(B,A))))) # label(rc3_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10530 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> r1_tarski(k5_pre_topc(A,B,C,k1_tops_1(B,D)),k1_tops_1(A,k5_pre_topc(A,B,C,D))))))))))) # label(t37_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10531 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (m1_subset_1(E,B) -> (all F (m1_subset_1(F,C) -> k12_mcart_1(A,C,k3_funct_2(A,B,D,k6_domain_1(B,E)),k6_domain_1(C,F)) = k3_funct_2(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C),k16_funct_3(A,C,B,C,D,k6_partfun1(C)),k6_domain_1(k2_zfmisc_1(B,C),k1_domain_1(B,C,E,F))))))))))))))) # label(t24_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10532 (all A all B (-v1_xboole_0(A) & m1_eqrel_1(B,A) & -v1_xboole_0(B) -> m2_relset_1(k2_borsuk_1(A,B),A,B) & v1_funct_2(k2_borsuk_1(A,B),A,B) & v1_funct_1(k2_borsuk_1(A,B)))) # label(dt_k2_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10533 $T # label(d4_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10534 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (k5_setfam_1(A,B) = A -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (D = k3_tarski(C) -> r1_tarski(k3_subset_1(A,D),k3_tarski(k3_subset_1(B,C))))))))))) # label(t18_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10535 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(k16_borsuk_1(A,B))) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & C = k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,B)),k17_borsuk_1(A,B),D))))))))) # label(t71_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10536 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> k11_borsuk_1(A,B,C) = a_3_1_borsuk_1(A,B,C))))))) # label(d6_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10537 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (exists B m1_borsuk_1(B,A)))) # label(existence_m1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10538 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (v1_pre_topc(C) & l1_pre_topc(C) & v2_pre_topc(C) -> (u1_pre_topc(C) = a_3_0_borsuk_1(A,B,C) & u1_struct_0(C) = k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)) <-> C = k6_borsuk_1(A,B)))))))) # label(d5_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10539 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_eqrel_1(C,u1_struct_0(B)) & -v1_xboole_0(C) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,u1_struct_0(B)) -> k1_funct_1(k17_borsuk_1(B,C),D) = k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,k18_borsuk_1(A,B,C))),k17_borsuk_1(A,k18_borsuk_1(A,B,C)),D)))))))))) # label(t76_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10540 (all A all B all C (v2_pre_topc(A) & -v3_struct_0(B) & m1_pre_topc(B,A) & v2_borsuk_1(C,B) & m1_borsuk_1(C,B) & v1_borsuk_1(B,A) & l1_pre_topc(A) & -v3_struct_0(A) -> v1_pre_topc(k21_borsuk_1(A,B,C)) & m1_pre_topc(k21_borsuk_1(A,B,C),k16_borsuk_1(A,k20_borsuk_1(A,B,C))) & v1_borsuk_1(k21_borsuk_1(A,B,C),k16_borsuk_1(A,k20_borsuk_1(A,B,C))))) # label(dt_k21_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10541 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> m1_subset_1(k3_tarski(C),k1_zfmisc_1(A)))))))) # label(t25_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10542 (all A (-v1_xboole_0(A) -> (exists B (-v1_xboole_0(B) & v1_setfam_1(B) & m1_eqrel_1(B,A))))) # label(rc1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10543 (all A (-v1_xboole_0(A) -> (all B (m1_eqrel_1(B,A) & -v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> ((all D (m1_subset_1(D,A) -> r2_hidden(D,k8_funct_2(A,B,C,D)))) <-> k2_borsuk_1(A,B) = C))))))) # label(d1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10544 (all A (l1_struct_0(A) & -v3_struct_0(A) -> v1_setfam_1(k15_borsuk_1(A)) & -v1_xboole_0(k15_borsuk_1(A)))) # label(fc3_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10545 (all A all B all C (-v3_struct_0(A) & m1_pre_topc(B,A) & m1_borsuk_1(C,B) & v1_borsuk_1(B,A) & -v3_struct_0(B) & l1_pre_topc(A) & v2_pre_topc(A) -> k18_borsuk_1(A,B,C) = k19_borsuk_1(A,B,C))) # label(redefinition_k19_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10546 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) -> ((all E (r2_hidden(E,D) -> (exists F ((exists G (m1_subset_1(G,k1_zfmisc_1(B)) & k12_mcart_1(A,B,F,G) = E)) & m1_subset_1(F,k1_zfmisc_1(A)))) & r1_tarski(E,C))) -> r1_tarski(k2_zfmisc_1(k1_setfam_1(k9_relat_1(k1_funct_3(k9_funct_3(A,B)),D)),k3_tarski(k9_relat_1(k1_funct_3(k10_funct_3(A,B)),D))),C)))))) # label(t15_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10547 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (m1_subset_1(E,k1_zfmisc_1(A)) -> (all F (m1_subset_1(F,k1_zfmisc_1(C)) -> k2_funct_2(k2_zfmisc_1(A,C),k2_zfmisc_1(B,C),k16_funct_3(A,C,B,C,D,k6_partfun1(C)),k12_mcart_1(A,C,E,F)) = k12_mcart_1(B,C,k2_funct_2(A,B,D,E),F))))))))))))) # label(t23_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10548 (all A all B all C all D all E all F (-v3_struct_0(A) & v2_pre_topc(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(D,u1_struct_0(B)) & m1_connsp_2(F,B,D) & m1_connsp_2(E,A,C) & l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) & l1_pre_topc(A) -> m1_connsp_2(k9_borsuk_1(A,B,C,D,E,F),k6_borsuk_1(A,B),k8_borsuk_1(A,B,C,D)))) # label(dt_k9_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10549 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> r1_tarski(u1_struct_0(B),u1_struct_0(A)))))) # label(t35_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10550 (all A all B all C all D all E all F (l1_pre_topc(A) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(D,u1_struct_0(B)) & m2_connsp_2(E,A,C) & m1_connsp_2(F,B,D) & v2_pre_topc(B) & -v3_struct_0(B) & v2_pre_topc(A) & -v3_struct_0(A) -> m2_connsp_2(k10_borsuk_1(A,B,C,D,E,F),k6_borsuk_1(A,B),k7_borsuk_1(A,B,C,k1_struct_0(B,D))))) # label(dt_k10_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10551 (all A all B (m1_eqrel_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(B)) -> k3_xboole_0(k3_tarski(C),k3_tarski(D)) = k3_tarski(k5_subset_1(B,C,D)))))))) # label(t26_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10552 (all A all B all C all D (v1_funct_2(C,k1_pcomps_1(A),k1_pcomps_1(B)) & m1_relset_1(C,k1_pcomps_1(A),k1_pcomps_1(B)) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_1(C) -> k14_borsuk_1(A,B,C,D) = k9_relat_1(C,D))) # label(redefinition_k14_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10553 (all A (-v1_xboole_0(A) -> (all B (m1_eqrel_1(B,A) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> k3_funct_2(A,B,k2_borsuk_1(A,B),C) = k3_tarski(C))))))) # label(t31_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10554 $T # label(t7_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10555 (all A all B all C all D all E all F (-v3_struct_0(A) & v2_pre_topc(A) & -v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_connsp_2(F,B,D) & m2_connsp_2(E,A,C) & m1_subset_1(D,u1_struct_0(B)) & l1_pre_topc(A) -> k2_zfmisc_1(E,F) = k10_borsuk_1(A,B,C,D,E,F))) # label(redefinition_k10_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10556 $T # label(t40_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10557 (all A all B all C all D all E (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(C) & v2_pre_topc(C) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & m1_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v5_pre_topc(E,B,C) & v1_funct_1(E) & v5_pre_topc(D,A,B) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) & l1_pre_topc(C) & -v3_struct_0(B) -> k5_relat_1(D,E) = k4_borsuk_1(A,B,C,D,E))) # label(redefinition_k4_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10558 (all A all B all C all D (v1_funct_1(C) & m1_relset_1(C,k1_pcomps_1(A),k1_pcomps_1(B)) & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(A))) & v1_funct_2(C,k1_pcomps_1(A),k1_pcomps_1(B)) -> m1_subset_1(k14_borsuk_1(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))))) # label(dt_k14_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10559 (all A all B all C all D (v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) & v2_pre_topc(A) -> k7_borsuk_1(A,B,C,D) = k2_zfmisc_1(C,D))) # label(redefinition_k7_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10560 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (v3_pre_topc(C,k6_borsuk_1(A,B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (k2_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(B),k10_funct_3(u1_struct_0(A),u1_struct_0(B)),C) = E -> v3_pre_topc(E,B)) & (k2_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A),k9_funct_3(u1_struct_0(A),u1_struct_0(B)),C) = D -> v3_pre_topc(D,A))))))))))))) # label(t59_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10561 (all A (l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k5_pcomps_1(k8_metric_1)))) -> (B = k1_rcomp_1(np__0,np__1) -> k3_pre_topc(k5_pcomps_1(k8_metric_1),B) = A))) <-> k22_borsuk_1 = A))) # label(d16_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10562 (all A all B all C all D (l1_pre_topc(A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(B) & v2_pre_topc(B) & v2_pre_topc(A) -> m1_subset_1(k7_borsuk_1(A,B,C,D),k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))))) # label(dt_k7_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10563 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (-r2_hidden(D,u1_struct_0(B)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,k18_borsuk_1(A,B,C))),k17_borsuk_1(A,k18_borsuk_1(A,B,C)),D) = k1_struct_0(A,D)))))))))) # label(t77_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10564 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> v1_tops_2(k11_borsuk_1(A,B,C),k6_borsuk_1(A,B)))))))) # label(t51_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10565 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_eqrel_1(C,u1_struct_0(B)) & -v1_xboole_0(C) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (-r2_hidden(D,u1_struct_0(B)) -> r2_hidden(k1_struct_0(A,D),k18_borsuk_1(A,B,C))))))))))) # label(t75_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10566 (all A all B all C (m1_eqrel_1(C,u1_struct_0(B)) & l1_pre_topc(B) & v2_pre_topc(B) -> (r2_hidden(A,a_2_2_borsuk_1(B,C)) <-> (exists D (D = A & r2_hidden(k3_tarski(D),u1_pre_topc(B)) & m1_subset_1(D,k1_zfmisc_1(C))))))) # label(fraenkel_a_2_2_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10567 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_borsuk_1(B,A) & -v3_struct_0(B) -> (all C (v2_borsuk_1(C,B) & m1_borsuk_1(C,B) -> (r1_borsuk_1(A,B) -> r1_borsuk_1(k16_borsuk_1(A,k20_borsuk_1(A,B,C)),k21_borsuk_1(A,B,C))))))))) # label(t84_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10568 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_compts_1(A,C,D) & (all E (m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_compts_1(A,E,D) & (all F -(r2_hidden(F,E) & r1_xboole_0(F,D))) & r1_tarski(E,C))))))))))))) # label(t63_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10569 (all A all B all C all D all E (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(B) & v2_pre_topc(B) & v5_pre_topc(D,A,B) & m1_connsp_2(E,B,C) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) & m1_subset_1(C,u1_struct_0(B)) & l1_pre_topc(B) & -v3_struct_0(A) -> k10_relat_1(D,E) = k5_borsuk_1(A,B,C,D,E))) # label(redefinition_k5_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10570 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & m1_eqrel_1(B,u1_struct_0(A)) -> v1_pre_topc(k16_borsuk_1(A,B)) & v2_pre_topc(k16_borsuk_1(A,B)) & l1_pre_topc(k16_borsuk_1(A,B)))) # label(dt_k16_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10571 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m2_subset_1(D,k1_zfmisc_1(A),B) -> (r2_hidden(C,D) -> D = k8_funct_2(A,B,k2_borsuk_1(A,B),C)))))))))) # label(t29_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10572 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(k8_funct_2(u1_struct_0(A),u1_struct_0(k16_borsuk_1(A,k18_borsuk_1(A,B,C))),k17_borsuk_1(A,k18_borsuk_1(A,B,C)),D),u1_struct_0(k16_borsuk_1(B,C))) -> r2_hidden(D,u1_struct_0(B))))))))))) # label(t79_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10573 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (m1_borsuk_1(B,A) & v1_setfam_1(B) & v2_borsuk_1(B,A) & -v1_xboole_0(B))))) # label(rc5_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10574 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (all E (m2_connsp_2(E,A,C) -> (all F (m2_connsp_2(F,B,D) -> m2_connsp_2(k7_borsuk_1(A,B,E,F),k6_borsuk_1(A,B),k7_borsuk_1(A,B,C,D)))))))))))))) # label(t49_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10575 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> k1_tops_1(k6_borsuk_1(A,B),k7_borsuk_1(A,B,C,D)) = k7_borsuk_1(A,B,k1_tops_1(A,C),k1_tops_1(B,D)))))))))) # label(t47_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10576 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v6_compts_1(k1_struct_0(A,B),A))))) # label(t41_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10577 (all A (-v1_xboole_0(A) -> (all B (m1_eqrel_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> (k3_tarski(C) = D -> k3_tarski(k3_subset_1(B,C)) = k3_subset_1(A,D)))))))))) # label(t27_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10578 (all A all B all C all D (l1_pre_topc(A) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,u1_struct_0(A)) & l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) & v2_pre_topc(A) & -v3_struct_0(A) -> k4_tarski(C,D) = k8_borsuk_1(A,B,C,D))) # label(redefinition_k8_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10579 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))) -> (r2_hidden(A,a_2_0_borsuk_1(B,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(B)) & k3_tarski(D) = A & r2_hidden(D,C)))))) # label(fraenkel_a_2_0_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10580 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> (all D -(r2_hidden(D,k2_funct_2(k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(A)),k12_borsuk_1(A,B),C)) & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> -(D = k2_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A),k9_funct_3(u1_struct_0(A),u1_struct_0(B)),E) & r2_hidden(E,C)))))))))))) # label(t57_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10581 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v6_compts_1(D,B) -> (all E (m2_connsp_2(E,k6_borsuk_1(B,A),k7_borsuk_1(B,A,D,k1_struct_0(A,C))) -> (exists F ((exists G (m1_connsp_2(G,A,C) & r1_tarski(k10_borsuk_1(B,A,D,C,F,G),E))) & m2_connsp_2(F,B,D)))))))))))))) # label(t67_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10582 (all A all B all C (l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) & v2_pre_topc(A) -> m1_subset_1(k11_borsuk_1(A,B,C),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))))) # label(dt_k11_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10583 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(B,k15_borsuk_1(A)) & (all C (m1_subset_1(C,u1_struct_0(A)) -> B != k1_struct_0(A,C)))))))) # label(t68_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10584 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (v3_pre_topc(C,k6_borsuk_1(A,B)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) & k5_setfam_1(u1_struct_0(k6_borsuk_1(A,B)),D) = C & (all E -((all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> (all G (m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) -> -(v3_pre_topc(F,A) & v3_pre_topc(G,B) & E = k12_mcart_1(u1_struct_0(A),u1_struct_0(B),F,G)))))) & r2_hidden(E,D)))))))))))) # label(t45_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10585 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> (v1_tops_2(C,k6_borsuk_1(A,B)) -> v1_tops_2(k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(A),k12_borsuk_1(A,B),C),A) & v1_tops_2(k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(B),k13_borsuk_1(A,B),C),B)))))))) # label(t60_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10586 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v1_xboole_0(C) & m1_eqrel_1(C,u1_struct_0(B)) -> r1_tarski(C,k18_borsuk_1(A,B,C)))))))) # label(t73_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10587 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & l1_pre_topc(B) & v2_pre_topc(B) -> l1_pre_topc(k6_borsuk_1(A,B)) & v2_pre_topc(k6_borsuk_1(A,B)) & v1_pre_topc(k6_borsuk_1(A,B)))) # label(dt_k6_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10588 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(B)) -> (k1_xboole_0 != k12_mcart_1(A,B,C,D) -> k2_funct_2(k2_zfmisc_1(A,B),A,k9_funct_3(A,B),k12_mcart_1(A,B,C,D)) = C & k2_funct_2(k2_zfmisc_1(A,B),B,k10_funct_3(A,B),k12_mcart_1(A,B,C,D)) = D))))) # label(t12_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10589 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> k2_funct_3(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A),k9_funct_3(u1_struct_0(A),u1_struct_0(B))) = k12_borsuk_1(A,B))))) # label(d7_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10590 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> k1_xboole_0 = k1_funct_1(k12_borsuk_1(A,B),k1_xboole_0) & k1_funct_1(k13_borsuk_1(A,B),k1_xboole_0) = k1_xboole_0)))) # label(t66_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10591 (all A (-v1_xboole_0(A) -> (all B (v8_relat_2(B) & v1_partfun1(B,A,A) & m2_relset_1(B,A,A) & v3_relat_2(B) -> -v1_xboole_0(k8_eqrel_1(A,B)))))) # label(t28_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.03 10592 (all A all B all C all D (v2_pre_topc(B) & l1_pre_topc(B) & v2_pre_topc(C) & l1_pre_topc(D) & v2_pre_topc(D) & v1_pre_topc(D) & l1_pre_topc(C) -> ((exists E (A = k5_setfam_1(u1_struct_0(D),E) & r1_tarski(E,a_2_1_borsuk_1(B,C)) & m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(D)))))) <-> r2_hidden(A,a_3_0_borsuk_1(B,C,D))))) # label(fraenkel_a_3_0_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10593 (all A all B (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) & v2_pre_topc(A) -> (exists C (m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & -v1_xboole_0(C) & v1_relat_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & v1_funct_1(C))))) # label(rc2_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10594 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> v5_pre_topc(k3_borsuk_1(B,A,C),B,A))))))) # label(t36_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10595 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (r2_borsuk_1(A,B) <-> (exists C (v5_pre_topc(C,k6_borsuk_1(A,k22_borsuk_1),A) & m2_relset_1(C,u1_struct_0(k6_borsuk_1(A,k22_borsuk_1)),u1_struct_0(A)) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(k22_borsuk_1)) -> D = k8_funct_2(u1_struct_0(k6_borsuk_1(A,k22_borsuk_1)),u1_struct_0(A),C,k8_borsuk_1(A,k22_borsuk_1,D,E))))) & r2_hidden(k8_funct_2(u1_struct_0(k6_borsuk_1(A,k22_borsuk_1)),u1_struct_0(A),C,k8_borsuk_1(A,k22_borsuk_1,D,k24_borsuk_1)),u1_struct_0(B)) & k8_funct_2(u1_struct_0(k6_borsuk_1(A,k22_borsuk_1)),u1_struct_0(A),C,k8_borsuk_1(A,k22_borsuk_1,D,k23_borsuk_1)) = D)) & v1_funct_2(C,u1_struct_0(k6_borsuk_1(A,k22_borsuk_1)),u1_struct_0(A)) & v1_funct_1(C)))))))) # label(d21_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10596 (all A (l1_struct_0(A) -> m1_eqrel_1(k15_borsuk_1(A),u1_struct_0(A)))) # label(dt_k15_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10597 (all A (l1_struct_0(A) -> k8_eqrel_1(u1_struct_0(A),k6_partfun1(u1_struct_0(A))) = k15_borsuk_1(A))) # label(d9_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10598 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k1_borsuk_1(u1_struct_0(B),u1_struct_0(A),C) = k3_borsuk_1(A,B,C))))))) # label(d3_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10599 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> m1_borsuk_1(k15_borsuk_1(A),A))) # label(t82_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10600 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) -> ((all E (r2_hidden(E,D) -> (exists F ((exists G (E = k12_mcart_1(A,B,F,G) & m1_subset_1(G,k1_zfmisc_1(B)))) & m1_subset_1(F,k1_zfmisc_1(A)))) & r1_tarski(E,C))) -> r1_tarski(k2_zfmisc_1(k3_tarski(k9_relat_1(k1_funct_3(k9_funct_3(A,B)),D)),k1_setfam_1(k9_relat_1(k1_funct_3(k10_funct_3(A,B)),D))),C)))))) # label(t14_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10601 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_connsp_2(E,B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)) -> (exists F (r1_tarski(k4_pre_topc(A,B,C,F),E) & m1_connsp_2(F,A,D))))))) <-> v5_pre_topc(C,A,B)))))))) # label(d2_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10602 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,u1_struct_0(B)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D) = D))) <-> v3_borsuk_1(C,A,B)))))))) # label(d19_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10603 (all A all B all C all D (-v3_struct_0(A) & v2_pre_topc(A) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,u1_struct_0(A)) & -v3_struct_0(B) & l1_pre_topc(A) -> m1_subset_1(k8_borsuk_1(A,B,C,D),u1_struct_0(k6_borsuk_1(A,B))))) # label(dt_k8_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10604 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (r1_tarski(C,D) -> r1_tarski(k11_borsuk_1(A,B,C),k11_borsuk_1(A,B,D))))))))))) # label(t52_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10605 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_eqrel_1(B,u1_struct_0(A)) & -v1_xboole_0(B) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> (all D (m2_connsp_2(D,A,C) -> (exists E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(E,A) & r1_tarski(E,D) & (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(F,B) -> r1_tarski(F,E) | r1_xboole_0(F,E)))) & r1_tarski(C,E)))))))) <-> m1_borsuk_1(B,A)))))) # label(d13_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10606 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,A,C) & m2_relset_1(E,A,C) -> -((all F (m1_subset_1(F,A) -> (all G (m1_subset_1(G,A) -> (k8_funct_2(A,B,D,F) = k8_funct_2(A,B,D,G) -> k8_funct_2(A,C,E,F) = k8_funct_2(A,C,E,G)))))) & (all F (v1_funct_1(F) & m2_relset_1(F,B,C) & v1_funct_2(F,B,C) -> k7_funct_2(A,B,C,D,F) != E))))))))))))) # label(t19_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10607 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) -> u1_struct_0(k16_borsuk_1(A,B)) = k2_relat_1(k17_borsuk_1(A,B)))))) # label(t72_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10608 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> -(v1_finset_1(C) & r1_tarski(C,k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(A),k12_borsuk_1(A,B),D)) & (all E (m1_subset_1(E,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> -(r1_tarski(E,D) & v1_finset_1(E) & C = k14_borsuk_1(u1_struct_0(k6_borsuk_1(A,B)),u1_struct_0(A),k12_borsuk_1(A,B),E))))))))))))) # label(t64_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10609 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m2_connsp_2(D,A,C) -> (r1_tarski(B,C) -> m2_connsp_2(D,A,B)))))))))) # label(t39_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10610 (all A all B all C (-v3_struct_0(A) & v2_pre_topc(A) & v1_borsuk_1(B,A) & m1_borsuk_1(C,B) & v2_borsuk_1(C,B) & m1_pre_topc(B,A) & -v3_struct_0(B) & l1_pre_topc(A) -> k21_borsuk_1(A,B,C) = k16_borsuk_1(B,C))) # label(redefinition_k21_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10611 (all A all B all C (-v3_struct_0(A) & l1_pre_topc(A) & -v3_struct_0(B) & v2_borsuk_1(C,B) & m1_borsuk_1(C,B) & m1_pre_topc(B,A) & v1_borsuk_1(B,A) & v2_pre_topc(A) -> v2_borsuk_1(k20_borsuk_1(A,B,C),A) & m1_borsuk_1(k20_borsuk_1(A,B,C),A))) # label(dt_k20_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10612 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (r1_borsuk_1(A,B) <-> (exists C (v1_funct_1(C) & v5_pre_topc(C,A,B) & v3_borsuk_1(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))))))))) # label(d20_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10613 $T # label(t44_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10614 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_connsp_2(E,A,C) -> (all F (m1_connsp_2(F,B,D) -> m1_connsp_2(k7_borsuk_1(A,B,E,F),k6_borsuk_1(A,B),k8_borsuk_1(A,B,C,D)))))))))))))) # label(t48_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10615 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> B = k3_funct_2(A,A,k6_partfun1(A),B))) # label(t4_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10616 (all A all B all C all D (v2_pre_topc(C) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(B,C)))) & l1_pre_topc(C) & l1_pre_topc(B) & v2_pre_topc(B) -> (r2_hidden(A,a_3_1_borsuk_1(B,C,D)) <-> (exists E exists F (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(C))) & r1_tarski(k7_borsuk_1(B,C,E,F),D) & v3_pre_topc(E,B) & v3_pre_topc(F,C) & k7_borsuk_1(B,C,E,F) = A))))) # label(fraenkel_a_3_1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10617 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B)))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k6_borsuk_1(A,B))))) -> ((all E (r2_hidden(E,D) -> r1_tarski(E,C) & (exists F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & (exists G (m1_subset_1(G,k1_zfmisc_1(u1_struct_0(B))) & E = k7_borsuk_1(A,B,F,G))))))) -> r1_tarski(k7_borsuk_1(A,B,k5_setfam_1(u1_struct_0(A),k2_funct_2(k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(A)),k12_borsuk_1(A,B),D)),k6_setfam_1(u1_struct_0(B),k2_funct_2(k1_pcomps_1(u1_struct_0(k6_borsuk_1(A,B))),k1_pcomps_1(u1_struct_0(B)),k13_borsuk_1(A,B),D))),C)))))))))) # label(t56_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10618 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_eqrel_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> (r2_hidden(C,u1_pre_topc(k16_borsuk_1(A,B))) <-> r2_hidden(k3_tarski(C),u1_pre_topc(A))))))))) # label(t69_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10619 (all A all B all C (-v3_struct_0(A) & v2_pre_topc(A) & -v3_struct_0(B) & v2_borsuk_1(C,B) & m1_borsuk_1(C,B) & m1_pre_topc(B,A) & v1_borsuk_1(B,A) & l1_pre_topc(A) -> k18_borsuk_1(A,B,C) = k20_borsuk_1(A,B,C))) # label(redefinition_k20_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10620 (all A all B all C (l1_pre_topc(C) & v2_pre_topc(C) & l1_pre_topc(B) & v2_pre_topc(B) -> (r2_hidden(A,a_2_1_borsuk_1(B,C)) <-> (exists D exists E (r2_hidden(E,u1_pre_topc(C)) & r2_hidden(D,u1_pre_topc(B)) & k12_mcart_1(u1_struct_0(B),u1_struct_0(C),D,E) = A & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))))))) # label(fraenkel_a_2_1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10621 (all A all B all C all D all E all F (v2_pre_topc(A) & l1_pre_topc(A) & m1_connsp_2(F,B,D) & m1_connsp_2(E,A,C) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,u1_struct_0(A)) & l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) & -v3_struct_0(A) -> k2_zfmisc_1(E,F) = k9_borsuk_1(A,B,C,D,E,F))) # label(redefinition_k9_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10622 (all A all B all C (l1_pre_topc(A) & -v3_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) & l1_pre_topc(B) & v2_pre_topc(B) & v2_pre_topc(A) & -v3_struct_0(A) -> v5_pre_topc(k3_borsuk_1(A,B,C),A,B) & v1_partfun1(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(k3_borsuk_1(A,B,C),u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(k3_borsuk_1(A,B,C)) & v1_relat_1(k3_borsuk_1(A,B,C)) & -v1_xboole_0(k3_borsuk_1(A,B,C)))) # label(fc1_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10623 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_borsuk_1(B,A) -> (v2_borsuk_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> v6_compts_1(C,A))))))))) # label(d15_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10624 $T # label(t34_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10625 (all A all B all C (-v3_struct_0(B) & -v3_struct_0(C) & m1_pre_topc(C,B) & l1_pre_topc(B) & v2_pre_topc(B) -> (r2_hidden(A,a_2_3_borsuk_1(B,C)) <-> (exists D (A = k1_struct_0(B,D) & -r2_hidden(D,u1_struct_0(C)) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_3_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10626 (all A all B all C (r1_tarski(A,k2_zfmisc_1(B,C)) -> k1_funct_1(k1_funct_3(k10_funct_3(B,C)),A) = k2_funct_2(k2_zfmisc_1(B,C),C,k10_funct_3(B,C),A))) # label(t10_borsuk_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10627 (all A (-v1_xboole_0(A) & v5_grcat_1(A) -> (all B (m3_grcat_1(B,A) -> v3_grcat_1(B) & l1_grcat_1(B))))) # label(dt_m3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10628 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> m1_grcat_1(k13_grcat_1(A),A,A))) # label(dt_k13_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10629 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> k6_grcat_1(A,B) = g1_cat_1(B,k1_grcat_1(A,B),k2_grcat_1(A,B),k3_grcat_1(A,B),k4_grcat_1(A,B),k5_grcat_1(A,B)))))) # label(d10_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10630 (all A all B (v4_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> k12_grcat_1(A,B) = k14_grcat_1(A,B))) # label(redefinition_k14_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10631 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> r1_cat_2(g1_cat_1(B,k1_grcat_1(A,B),k2_grcat_1(A,B),k3_grcat_1(A,B),k4_grcat_1(A,B),k5_grcat_1(A,B)),A))))) # label(t9_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10632 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v1_cat_1(k32_grcat_1(A)) & v2_cat_1(k32_grcat_1(A)))) # label(fc15_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10633 (exists A (-v1_xboole_0(A) & v4_grcat_1(A))) # label(rc4_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10634 (all A all B all C (l1_struct_0(A) & -v3_struct_0(B) & l1_struct_0(B) & m5_grcat_1(C,A,B) & -v1_xboole_0(C) -> (all D (m6_grcat_1(D,A,B,C) -> m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D))))) # label(dt_m6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10635 (all A (-v1_xboole_0(A) & v1_classes2(A) -> -v1_xboole_0(k31_grcat_1(A)))) # label(fc14_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10636 (all A (-v1_xboole_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v5_rlvect_1(C) & v6_rlvect_1(C) & l1_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) -> (m4_grcat_1(A,B,C) <-> (all D (m1_subset_1(D,A) -> v2_grcat_1(D) & m1_grcat_1(D,B,C)))))))))) # label(t38_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10637 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (m2_grcat_1(B,A) -> v4_rlvect_1(B) & v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & -v3_struct_0(B))))) # label(dt_m2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10638 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) -> (all C (m4_grcat_1(C,A,B) -> (C = k18_grcat_1(A,B) <-> (all D (r2_hidden(D,C) <-> m1_grcat_1(D,A,B) & v2_grcat_1(D)))))))))) # label(d27_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10639 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v4_grcat_1(k19_grcat_1(A)) & -v1_xboole_0(k19_grcat_1(A)))) # label(fc9_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10640 (all A all B (-v1_xboole_0(A) & v4_grcat_1(A) & m1_subset_1(B,k20_grcat_1(A)) -> k21_grcat_1(A,B) = k9_grcat_1(B))) # label(redefinition_k21_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10641 (all A (-v1_xboole_0(A) & v1_classes2(A) -> m1_subset_1(k29_grcat_1(A),k1_zfmisc_1(u1_cat_1(k28_grcat_1(A)))))) # label(dt_k29_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10642 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (v4_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_grcat_1(C,A,B) & v2_grcat_1(C) -> m4_grcat_1(k1_tarski(C),A,B))))))) # label(t39_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10643 (all A all B all C (v2_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_cat_1(B))) & -v1_xboole_0(C) -> (r2_hidden(A,a_2_0_grcat_1(B,C)) <-> (exists D exists E (m1_subset_1(D,u1_cat_1(B)) & m1_subset_1(E,u1_cat_1(B)) & k6_cat_1(B,D,E) = A & r2_hidden(E,C) & r2_hidden(D,C)))))) # label(fraenkel_a_2_0_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10644 (all A (l1_grcat_1(A) -> (v3_grcat_1(A) <-> v1_grcat_1(k11_grcat_1(A),k9_grcat_1(A),k10_grcat_1(A))))) # label(d18_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10645 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (m2_relset_1(B,k20_grcat_1(A),A) & v1_funct_2(B,k20_grcat_1(A),A) & v1_funct_1(B) -> ((all C (m3_grcat_1(C,k20_grcat_1(A)) -> k8_funct_2(k20_grcat_1(A),A,B,C) = k22_grcat_1(A,C))) <-> k25_grcat_1(A) = B))))) # label(d33_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10646 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> v5_grcat_1(k20_grcat_1(A)) & -v1_xboole_0(k20_grcat_1(A)))) # label(dt_k20_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10647 (exists A (v2_grcat_1(A) & l1_grcat_1(A))) # label(rc1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10648 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> v1_funct_1(k24_grcat_1(A)) & v1_funct_2(k24_grcat_1(A),k20_grcat_1(A),A) & m2_relset_1(k24_grcat_1(A),k20_grcat_1(A),A))) # label(dt_k24_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10649 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (v1_funct_2(B,A,k20_grcat_1(A)) & m2_relset_1(B,A,k20_grcat_1(A)) & v1_funct_1(B) -> (B = k26_grcat_1(A) <-> (all C (m2_grcat_1(C,A) -> k8_funct_2(A,k20_grcat_1(A),B,C) = k23_grcat_1(A,C)))))))) # label(d34_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10650 (all A (m1_subset_1(A,f1_s2_grcat_1) -> (all B (m1_subset_1(B,f2_s2_grcat_1) -> (p1_s2_grcat_1(A,B) -> r2_hidden(f4_s2_grcat_1(A,B),f3_s2_grcat_1)))))) -> (exists A (m2_relset_1(A,k2_zfmisc_1(f1_s2_grcat_1,f2_s2_grcat_1),f3_s2_grcat_1) & (all B (m1_subset_1(B,f1_s2_grcat_1) -> (all C (m1_subset_1(C,f2_s2_grcat_1) -> (r2_hidden(k4_tarski(B,C),k1_relat_1(A)) <-> p1_s2_grcat_1(B,C)))))) & (all B (m1_subset_1(B,f1_s2_grcat_1) -> (all C (m1_subset_1(C,f2_s2_grcat_1) -> (r2_hidden(k4_tarski(B,C),k1_relat_1(A)) -> f4_s2_grcat_1(B,C) = k1_funct_1(A,k4_tarski(B,C))))))) & v1_funct_1(A))) # label(s2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10651 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v4_rlvect_1(B) -> (all C (-v3_struct_0(C) & v6_rlvect_1(C) & l1_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) -> (all D (m1_grcat_1(D,B,C) -> (all E (m1_grcat_1(E,A,B) -> m1_grcat_1(k15_grcat_1(D,E),A,C))))))))))) # label(t28_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10652 (all A (l1_grcat_1(A) -> v6_rlvect_1(k9_grcat_1(A)) & l1_rlvect_1(k9_grcat_1(A)) & v5_rlvect_1(k9_grcat_1(A)) & v4_rlvect_1(k9_grcat_1(A)) & -v3_struct_0(k9_grcat_1(A)))) # label(dt_k9_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10653 (all A all B (l1_rlvect_1(A) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all C (m4_grcat_1(C,A,B) -> v5_grcat_1(C) & -v1_xboole_0(C))))) # label(dt_m4_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10654 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> k1_realset1(u5_cat_1(A),k1_grcat_1(A,B)) = k4_grcat_1(A,B))))) # label(d8_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10655 (all A (v1_classes2(A) & -v1_xboole_0(A) -> -v1_xboole_0(k19_grcat_1(A)))) # label(fc8_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10656 (all A (l1_grcat_1(A) & v3_grcat_1(A) -> v1_grcat_1(u3_grcat_1(A),u1_grcat_1(A),u2_grcat_1(A)))) # label(t18_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10657 (all A all B (v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> v3_grcat_1(k12_grcat_1(A,B)) & v2_grcat_1(k12_grcat_1(A,B)))) # label(fc5_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10658 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (-v1_xboole_0(B) & v5_grcat_1(B) -> (k20_grcat_1(A) = B <-> (all C ((exists D ((exists E (v1_rlvect_1(E) & m2_grcat_1(E,A) & v2_grcat_1(C) & m1_grcat_1(C,D,E))) & m2_grcat_1(D,A) & v1_rlvect_1(D))) <-> r2_hidden(C,B)))))))) # label(d30_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10659 (all A all B (-v3_struct_0(A) & l1_rlvect_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> m4_grcat_1(k18_grcat_1(A,B),A,B))) # label(dt_k18_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10660 (all A (v1_classes2(A) & -v1_xboole_0(A) -> u1_cat_1(k30_grcat_1(A)) = k29_grcat_1(A))) # label(t52_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10661 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(A) -> v3_grcat_1(k13_grcat_1(A)) & v2_grcat_1(k13_grcat_1(A)))) # label(fc6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10662 (all A (v1_classes2(A) & -v1_xboole_0(A) -> m3_cat_2(k32_grcat_1(A),k30_grcat_1(A)))) # label(dt_k32_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10663 (all A (l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & -v3_struct_0(B) -> (all C (v3_grcat_1(C) & l1_grcat_1(C) -> (B = k10_grcat_1(C) & A = k9_grcat_1(C) <-> m1_grcat_1(C,A,B)))))))) # label(d19_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10664 (all A all B (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v6_rlvect_1(A) & -v3_struct_0(A) -> l1_grcat_1(k12_grcat_1(A,B)))) # label(dt_k12_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10665 (all A (-v1_xboole_0(A) & v1_classes2(A) -> r2_hidden(k2_algstr_1,k29_grcat_1(A)))) # label(t51_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10666 (all A all B (v2_cat_1(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & l1_cat_1(A) -> m2_relset_1(k4_grcat_1(A,B),k12_mcart_1(u2_cat_1(A),u2_cat_1(A),k1_grcat_1(A,B),k1_grcat_1(A,B)),k1_grcat_1(A,B)) & v1_funct_1(k4_grcat_1(A,B)))) # label(dt_k4_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10667 (all A (v1_classes2(A) & -v1_xboole_0(A) -> k28_grcat_1(A) = g1_cat_1(k19_grcat_1(A),k20_grcat_1(k19_grcat_1(A)),k24_grcat_1(k19_grcat_1(A)),k25_grcat_1(k19_grcat_1(A)),k27_grcat_1(k19_grcat_1(A)),k26_grcat_1(k19_grcat_1(A))))) # label(d36_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10668 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (m2_grcat_1(B,A) -> k23_grcat_1(A,B) = k13_grcat_1(B))))) # label(d31_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10669 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) & v4_grcat_1(A) -> v2_grcat_1(k23_grcat_1(A,B)) & m3_grcat_1(k23_grcat_1(A,B),k20_grcat_1(A)))) # label(dt_k23_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10670 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u2_cat_1(k28_grcat_1(A))) -> (all C (m3_grcat_1(C,k20_grcat_1(k19_grcat_1(A))) -> (all D (m1_subset_1(D,u1_cat_1(k28_grcat_1(A))) -> (all E (m2_grcat_1(E,k19_grcat_1(A)) -> v2_grcat_1(B) & m3_grcat_1(B,k20_grcat_1(k19_grcat_1(A))) & m1_subset_1(E,u1_cat_1(k28_grcat_1(A))) & m2_grcat_1(D,k19_grcat_1(A)) & v1_rlvect_1(D) & m1_subset_1(C,u2_cat_1(k28_grcat_1(A))))))))))))) # label(t47_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10671 (all A (v1_classes2(A) & -v1_xboole_0(A) -> k6_grcat_1(k28_grcat_1(A),k29_grcat_1(A)) = k30_grcat_1(A))) # label(d38_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10672 (all A (v3_grcat_1(A) & l1_grcat_1(A) & v2_grcat_1(A) -> (all B (v2_grcat_1(B) & l1_grcat_1(B) & v3_grcat_1(B) -> (k9_grcat_1(B) = k10_grcat_1(A) -> k9_grcat_1(k15_grcat_1(B,A)) = k9_grcat_1(A) & k10_grcat_1(B) = k10_grcat_1(k15_grcat_1(B,A))))))) # label(t31_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10673 (all A (l1_grcat_1(A) -> k10_grcat_1(A) = u2_grcat_1(A))) # label(d15_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10674 (all A all B (-v3_struct_0(A) & l1_rlvect_1(A) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & -v3_struct_0(B) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all C (m1_grcat_1(C,A,B) -> l1_grcat_1(C) & v3_grcat_1(C))))) # label(dt_m1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10675 (all A all B (p1_s1_grcat_1(A,B) & r2_hidden(B,f2_s1_grcat_1) & r2_hidden(A,f1_s1_grcat_1) -> r2_hidden(f4_s1_grcat_1(A,B),f3_s1_grcat_1))) -> (exists A ((all B all C (r2_hidden(k4_tarski(B,C),k1_relat_1(A)) -> f4_s1_grcat_1(B,C) = k1_funct_1(A,k4_tarski(B,C)))) & (all B all C (r2_hidden(k4_tarski(B,C),k1_relat_1(A)) <-> r2_hidden(B,f1_s1_grcat_1) & p1_s1_grcat_1(B,C) & r2_hidden(C,f2_s1_grcat_1))) & m2_relset_1(A,k2_zfmisc_1(f1_s1_grcat_1,f2_s1_grcat_1),f3_s1_grcat_1) & v1_funct_1(A))) # label(s1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10676 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u2_cat_1(k28_grcat_1(A))) -> (all C (m1_subset_1(C,u2_cat_1(k28_grcat_1(A))) -> (all D (m3_grcat_1(D,k20_grcat_1(k19_grcat_1(A))) -> (all E (m3_grcat_1(E,k20_grcat_1(k19_grcat_1(A))) -> (D = B & C = E -> (k3_cat_1(k28_grcat_1(A),B) = k2_cat_1(k28_grcat_1(A),C) -> k21_grcat_1(k19_grcat_1(A),E) = k22_grcat_1(k19_grcat_1(A),D)) & (k21_grcat_1(k19_grcat_1(A),E) = k22_grcat_1(k19_grcat_1(A),D) -> k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B)) & (k22_grcat_1(k19_grcat_1(A),D) = k22_grcat_1(k19_grcat_1(A),E) -> k3_cat_1(k28_grcat_1(A),B) = k3_cat_1(k28_grcat_1(A),C)) & (k3_cat_1(k28_grcat_1(A),B) = k3_cat_1(k28_grcat_1(A),C) -> k22_grcat_1(k19_grcat_1(A),E) = k22_grcat_1(k19_grcat_1(A),D)) & (k21_grcat_1(k19_grcat_1(A),D) = k21_grcat_1(k19_grcat_1(A),E) -> k2_cat_1(k28_grcat_1(A),C) = k2_cat_1(k28_grcat_1(A),B)) & (k2_cat_1(k28_grcat_1(A),B) = k2_cat_1(k28_grcat_1(A),C) -> k21_grcat_1(k19_grcat_1(A),D) = k21_grcat_1(k19_grcat_1(A),E)) & (k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B) -> k15_grcat_1(E,D) = k4_cat_1(k28_grcat_1(A),B,C)) & (r2_hidden(k4_tarski(E,D),k1_relat_1(k27_grcat_1(k19_grcat_1(A)))) -> k3_cat_1(k28_grcat_1(A),B) = k2_cat_1(k28_grcat_1(A),C)) & (k2_cat_1(k28_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B) -> r2_hidden(k4_tarski(E,D),k1_relat_1(k27_grcat_1(k19_grcat_1(A)))))))))))))))) # label(t50_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.04 10677 (all A all B all C (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(B) & v6_rlvect_1(B) & v1_funct_1(C) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & l1_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v6_rlvect_1(A) & v4_rlvect_1(A) -> l1_grcat_1(g1_grcat_1(A,B,C)) & v2_grcat_1(g1_grcat_1(A,B,C)))) # label(dt_g1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10678 (all A all B (v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) & v4_rlvect_1(A) & -v3_struct_0(A) -> (exists C (v3_grcat_1(C) & v2_grcat_1(C) & m1_grcat_1(C,A,B))))) # label(rc3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10679 (all A (l1_struct_0(A) -> k7_grcat_1(A) = k6_partfun1(u1_struct_0(A)))) # label(d11_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10680 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & l1_cat_1(A) & v2_cat_1(A) -> m3_cat_2(k6_grcat_1(A,B),A))) # label(dt_k6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10681 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> k5_grcat_1(A,B) = k2_partfun1(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B))))) # label(d9_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10682 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,k20_grcat_1(A)) & v4_grcat_1(A) -> k10_grcat_1(B) = k22_grcat_1(A,B))) # label(redefinition_k22_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10683 $T # label(d1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10684 (all A (l1_grcat_1(A) -> v4_rlvect_1(u1_grcat_1(A)) & l1_rlvect_1(u1_grcat_1(A)) & v6_rlvect_1(u1_grcat_1(A)) & v5_rlvect_1(u1_grcat_1(A)) & -v3_struct_0(u1_grcat_1(A)))) # label(dt_u1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10685 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(k20_grcat_1(A),k20_grcat_1(A)),k20_grcat_1(A)) & v1_funct_1(B) -> (B = k27_grcat_1(A) <-> (all C (m3_grcat_1(C,k20_grcat_1(A)) -> (all D (m3_grcat_1(D,k20_grcat_1(A)) -> (k22_grcat_1(A,D) = k21_grcat_1(A,C) <-> r2_hidden(k4_tarski(C,D),k1_relat_1(B))))))) & (all C (m3_grcat_1(C,k20_grcat_1(A)) -> (all D (m3_grcat_1(D,k20_grcat_1(A)) -> (r2_hidden(k4_tarski(C,D),k1_relat_1(B)) -> k15_grcat_1(C,D) = k1_funct_1(B,k4_tarski(C,D)))))))))))) # label(d35_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10686 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> u1_cat_1(k6_grcat_1(A,B)) = B)))) # label(t10_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10687 (all A (v1_classes2(A) & -v1_xboole_0(A) -> k32_grcat_1(A) = k6_grcat_1(k30_grcat_1(A),k31_grcat_1(A)))) # label(d40_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10688 (all A (v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (v2_grcat_1(C) & l1_grcat_1(C) -> (k9_grcat_1(C) = A & B = k10_grcat_1(C) & v1_grcat_1(k11_grcat_1(C),k9_grcat_1(C),k10_grcat_1(C)) -> m1_grcat_1(C,A,B) & v2_grcat_1(C)))))))) # label(t19_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10689 (all A (l1_grcat_1(A) -> -v3_struct_0(k10_grcat_1(A)) & v4_rlvect_1(k10_grcat_1(A)) & v5_rlvect_1(k10_grcat_1(A)) & v6_rlvect_1(k10_grcat_1(A)) & l1_rlvect_1(k10_grcat_1(A)))) # label(dt_k10_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10690 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> (all B (l1_rlvect_1(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k2_rlvect_1(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k2_rlvect_1(A,D,E)))))) <-> v1_grcat_1(C,A,B)))))))) # label(d13_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10691 (all A all B (l1_struct_0(B) & l1_struct_0(A) -> (exists C m5_grcat_1(C,A,B)))) # label(existence_m5_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10692 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v1_cat_1(k30_grcat_1(A)) & v2_cat_1(k30_grcat_1(A)))) # label(fc13_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10693 (all A (l1_grcat_1(A) -> u3_grcat_1(A) = k11_grcat_1(A))) # label(d16_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10694 (all A (-v1_xboole_0(A) & v1_classes2(A) -> a_1_1_grcat_1(A) = k31_grcat_1(A))) # label(d39_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10695 (exists A l1_grcat_1(A)) # label(existence_l1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10696 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (all C ((all D (r2_hidden(D,C) -> v1_funct_1(D) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)))) <-> m5_grcat_1(C,A,B))))))) # label(d25_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10697 (all A all B all C (-v3_struct_0(A) & v6_rlvect_1(A) & v5_rlvect_1(B) & v6_rlvect_1(B) & m4_grcat_1(C,A,B) & l1_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (exists D (m1_subset_1(D,C) & v2_grcat_1(D) & v3_grcat_1(D))))) # label(rc9_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10698 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> (all B (m3_grcat_1(B,k20_grcat_1(A)) -> (all C (m3_grcat_1(C,k20_grcat_1(A)) -> -((all D (m2_grcat_1(D,A) & v1_rlvect_1(D) -> (all E (m2_grcat_1(E,A) & v1_rlvect_1(E) -> (all F (m2_grcat_1(F,A) & v1_rlvect_1(F) -> -(m1_grcat_1(B,E,F) & m1_grcat_1(C,D,E)))))))) & k22_grcat_1(A,C) = k21_grcat_1(A,B)))))))) # label(t44_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10699 (all A all B all C all D -((all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> D != k4_tarski(E,F))))) & r1_tarski(C,k2_zfmisc_1(A,B)) & r2_hidden(D,C))) # label(t2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10700 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u2_cat_1(k28_grcat_1(A))) -> (all C (m3_grcat_1(C,k20_grcat_1(k19_grcat_1(A))) -> (C = B -> k21_grcat_1(k19_grcat_1(A),C) = k2_cat_1(k28_grcat_1(A),B) & k22_grcat_1(k19_grcat_1(A),C) = k3_cat_1(k28_grcat_1(A),B)))))))) # label(t49_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10701 (all A (l1_grcat_1(A) & v3_grcat_1(A) -> (exists B (-v3_struct_0(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & (exists C (v6_rlvect_1(C) & l1_rlvect_1(C) & m1_grcat_1(A,B,C) & v5_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C))) & v6_rlvect_1(B) & v5_rlvect_1(B))))) # label(t24_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10702 (all A all B all C all D all E (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & l1_rlvect_1(B) & v4_rlvect_1(C) & v5_rlvect_1(C) & m1_grcat_1(E,A,B) & m1_grcat_1(D,B,C) & l1_rlvect_1(C) & v6_rlvect_1(C) & -v3_struct_0(C) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v6_rlvect_1(A) & v4_rlvect_1(A) -> m1_grcat_1(k16_grcat_1(A,B,C,D,E),A,C) & v2_grcat_1(k16_grcat_1(A,B,C,D,E)))) # label(dt_k16_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10703 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,k19_grcat_1(A)) -> v4_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(B) & v1_rlvect_1(B) & -v3_struct_0(B))))) # label(t43_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10704 (all A (-v1_xboole_0(A) & v1_classes2(A) -> r2_hidden(k1_tarski(k1_xboole_0),A) & r2_hidden(k4_tarski(k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0)),A) & r2_hidden(k2_zfmisc_1(k1_tarski(k1_xboole_0),k1_tarski(k1_xboole_0)),A) & r2_hidden(k7_vectsp_2,A) & r2_hidden(k2_midsp_1,A))) # label(t6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10705 (all A (l1_grcat_1(A) -> u1_grcat_1(A) = k9_grcat_1(A))) # label(d14_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10706 (all A (v1_classes2(A) & -v1_xboole_0(A) -> v1_cat_1(k28_grcat_1(A)))) # label(fc10_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10707 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) -> k2_partfun1(u2_cat_1(A),u1_cat_1(A),u4_cat_1(A),k1_grcat_1(A,B)) = k3_grcat_1(A,B))))) # label(d7_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10708 (all A all B (v4_grcat_1(A) & m1_subset_1(B,k20_grcat_1(A)) & -v1_xboole_0(A) -> m2_grcat_1(k21_grcat_1(A,B),A) & v1_rlvect_1(k21_grcat_1(A,B)))) # label(dt_k21_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10709 $T # label(dt_k19_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10710 (all A (-v1_xboole_0(A) & v1_classes2(A) -> m3_cat_2(k30_grcat_1(A),k28_grcat_1(A)))) # label(dt_k30_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10711 (all A (l1_grcat_1(A) & v3_grcat_1(A) & v2_grcat_1(A) -> (all B (l1_grcat_1(B) & v3_grcat_1(B) & v2_grcat_1(B) -> (all C (v2_grcat_1(C) & v3_grcat_1(C) & l1_grcat_1(C) -> (k9_grcat_1(C) = k10_grcat_1(B) & k10_grcat_1(A) = k9_grcat_1(B) -> k15_grcat_1(k15_grcat_1(C,B),A) = k15_grcat_1(C,k15_grcat_1(B,A))))))))) # label(t33_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10712 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> (exists B m2_grcat_1(B,A)))) # label(existence_m2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10713 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) & -v3_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> C = k1_partfun1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),k7_grcat_1(A),C) & C = k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),C,k7_grcat_1(B)))))))) # label(t12_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10714 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u1_cat_1(k28_grcat_1(A))) -> (all C (m2_grcat_1(C,k19_grcat_1(A)) -> (B = C -> k5_cat_1(k28_grcat_1(A),B) = k23_grcat_1(k19_grcat_1(A),C)))))))) # label(t48_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10715 (all A (v1_classes2(A) & -v1_xboole_0(A) -> m1_subset_1(k31_grcat_1(A),k1_zfmisc_1(u1_cat_1(k30_grcat_1(A)))))) # label(dt_k31_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10716 (all A all B all C (r1_grcat_1(A,B) & r1_grcat_1(A,C) -> B = C)) # label(t40_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10717 (all A (v3_grcat_1(A) & l1_grcat_1(A) -> (all B (l1_grcat_1(B) & v3_grcat_1(B) -> (k10_grcat_1(B) = k9_grcat_1(A) -> (all C (l1_grcat_1(C) & v3_grcat_1(C) & v2_grcat_1(C) -> (C = k15_grcat_1(A,B) <-> (all D (v4_rlvect_1(D) & v5_rlvect_1(D) & l1_rlvect_1(D) & v6_rlvect_1(D) & -v3_struct_0(D) -> (all E (-v3_struct_0(E) & l1_rlvect_1(E) & v6_rlvect_1(E) & v5_rlvect_1(E) & v4_rlvect_1(E) -> (all F (-v3_struct_0(F) & v4_rlvect_1(F) & v6_rlvect_1(F) & l1_rlvect_1(F) & v5_rlvect_1(F) -> (all G (v1_funct_1(G) & v1_funct_2(G,u1_struct_0(E),u1_struct_0(F)) & m2_relset_1(G,u1_struct_0(E),u1_struct_0(F)) -> (all H (v1_funct_2(H,u1_struct_0(D),u1_struct_0(E)) & m2_relset_1(H,u1_struct_0(D),u1_struct_0(E)) & v1_funct_1(H) -> (g1_grcat_1(D,E,H) = g1_grcat_1(u1_grcat_1(B),u2_grcat_1(B),u3_grcat_1(B)) & g1_grcat_1(u1_grcat_1(A),u2_grcat_1(A),u3_grcat_1(A)) = g1_grcat_1(E,F,G) -> g1_grcat_1(D,F,k7_funct_2(u1_struct_0(D),u1_struct_0(E),u1_struct_0(F),H,G)) = C))))))))))))))))))) # label(d21_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10718 (all A all B all C (-v3_struct_0(B) & -v1_xboole_0(C) & m5_grcat_1(C,A,B) & l1_struct_0(B) & l1_struct_0(A) -> (exists D m6_grcat_1(D,A,B,C)))) # label(existence_m6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10719 (all A (-v3_struct_0(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) -> (all C (v1_funct_1(C) & 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_grcat_1(C,A,B) -> m1_grcat_1(g1_grcat_1(A,B,C),A,B) & v2_grcat_1(g1_grcat_1(A,B,C))))))))) # label(t20_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10720 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> k17_grcat_1(A,B) = k1_funct_2(u1_struct_0(A),u1_struct_0(B)))))) # label(d26_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10721 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (exists B (r1_grcat_1(B,k2_algstr_1) & r2_hidden(B,A))))) # label(t41_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10722 (all A (-v1_xboole_0(A) & v1_classes2(A) -> u1_cat_1(k32_grcat_1(A)) = k31_grcat_1(A))) # label(t53_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10723 $T # label(d3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10724 (all A all B all C (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & -v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & m4_grcat_1(C,A,B) & l1_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(A) -> (all D (m7_grcat_1(D,A,B,C) -> m1_grcat_1(D,A,B))))) # label(dt_m7_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10725 (all A all B (l1_cat_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) & v2_cat_1(A) -> -v1_xboole_0(k1_grcat_1(A,B)))) # label(fc2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10726 (all A all B all C all D all E (-v3_struct_0(A) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v5_rlvect_1(C) & l1_rlvect_1(C) & m1_grcat_1(D,B,C) & m1_grcat_1(E,A,B) & v6_rlvect_1(C) & v4_rlvect_1(C) & -v3_struct_0(C) & v5_rlvect_1(B) & -v3_struct_0(B) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> k16_grcat_1(A,B,C,D,E) = k15_grcat_1(D,E))) # label(redefinition_k16_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10727 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> k13_grcat_1(A) = g1_grcat_1(A,A,k7_grcat_1(A)))) # label(d20_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10728 (all A all B (l1_cat_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) & v2_cat_1(A) -> v1_funct_1(k2_grcat_1(A,B)) & v1_funct_2(k2_grcat_1(A,B),k1_grcat_1(A,B),B) & m2_relset_1(k2_grcat_1(A,B),k1_grcat_1(A,B),B))) # label(dt_k2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10729 $T # label(d2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10730 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k8_funct_2(u1_struct_0(A),u1_struct_0(A),k7_grcat_1(A),B))))) # label(t11_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10731 (all A (l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) -> (all C (m1_grcat_1(C,A,B) & v2_grcat_1(C) -> (exists D (m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & C = g1_grcat_1(A,B,D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D))))))))) # label(t23_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10732 (all A (-v3_struct_0(A) & l2_struct_0(A) -> (all B (l2_struct_0(B) & -v3_struct_0(B) -> k8_grcat_1(A,B) = k2_funcop_1(u1_struct_0(A),k1_rlvect_1(B)))))) # label(d12_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10733 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k20_grcat_1(A),A) & v1_funct_2(B,k20_grcat_1(A),A) -> (k24_grcat_1(A) = B <-> (all C (m3_grcat_1(C,k20_grcat_1(A)) -> k8_funct_2(k20_grcat_1(A),A,B,C) = k21_grcat_1(A,C)))))))) # label(d32_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10734 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(A) & v5_rlvect_1(A) -> (exists C m1_grcat_1(C,A,B)))) # label(existence_m1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10735 $T # label(t1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10736 (all A (v1_classes2(A) & -v1_xboole_0(A) -> -v1_xboole_0(k29_grcat_1(A)))) # label(fc12_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10737 $T # label(d4_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10738 (all A all B (l1_struct_0(A) & l1_struct_0(B) & -v3_struct_0(B) -> (exists C (m5_grcat_1(C,A,B) & -v1_xboole_0(C))))) # label(rc8_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10739 (all A (-v1_xboole_0(A) & v4_grcat_1(A) -> (all B (m1_subset_1(B,A) <-> m2_grcat_1(B,A))))) # label(redefinition_m2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10740 (all A (m1_subset_1(A,u1_struct_0(k2_algstr_1)) -> A = k1_xboole_0)) # label(t8_grcat_1_AndLHS) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10741 (all A (m1_subset_1(A,u1_struct_0(k2_algstr_1)) -> k1_xboole_0 = k5_rlvect_1(k2_algstr_1,A))) # label(t8_grcat_1_AndRHS_AndLHS) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10742 (all A (m1_subset_1(A,u1_struct_0(k2_algstr_1)) -> (all B (m1_subset_1(B,u1_struct_0(k2_algstr_1)) -> k1_xboole_0 = k4_rlvect_1(k2_algstr_1,A,B))))) # label(t8_grcat_1_AndRHS_AndRHS_AndRHS) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10743 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) -> (all C (v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l1_rlvect_1(C) & -v3_struct_0(C) -> (all D (m1_grcat_1(D,B,C) -> (all E (m1_grcat_1(E,A,B) -> (all F (v1_funct_1(F) & v1_funct_2(F,u1_struct_0(B),u1_struct_0(C)) & m2_relset_1(F,u1_struct_0(B),u1_struct_0(C)) -> (all G (m2_relset_1(G,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(G,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(G) -> (D = g1_grcat_1(B,C,F) & g1_grcat_1(A,B,G) = E -> k16_grcat_1(A,B,C,D,E) = g1_grcat_1(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),G,F))))))))))))))))) # label(t29_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10744 $T # label(t35_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10745 (all A (v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> g1_grcat_1(A,B,k8_grcat_1(A,B)) = k12_grcat_1(A,B))))) # label(d17_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10746 (all A (v1_classes2(A) & -v1_xboole_0(A) -> r2_hidden(k2_algstr_1,k19_grcat_1(A)))) # label(t42_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10747 (all A all B all C (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(B) & m4_grcat_1(C,A,B) & l1_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v5_rlvect_1(A) -> (all D (m1_subset_1(D,C) <-> m7_grcat_1(D,A,B,C))))) # label(redefinition_m7_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10748 (all A all B (l1_cat_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & -v1_xboole_0(B) & v2_cat_1(A) -> m1_subset_1(k1_grcat_1(A,B),k1_zfmisc_1(u2_cat_1(A))))) # label(dt_k1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10749 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> k2_grcat_1(A,B) = k2_partfun1(u2_cat_1(A),u1_cat_1(A),u3_cat_1(A),k1_grcat_1(A,B)))))) # label(d6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10750 (all A all B all C (v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(B) & l1_rlvect_1(B) & v1_funct_1(C) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v6_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all D all E all F (g1_grcat_1(A,B,C) = g1_grcat_1(D,E,F) -> D = A & C = F & E = B)))) # label(free_g1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10751 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & -v3_struct_0(B) -> (exists C m4_grcat_1(C,A,B)))) # label(existence_m4_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10752 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (l1_rlvect_1(B) & -v3_struct_0(B) -> (all C (l1_rlvect_1(C) & -v3_struct_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) -> (all E (v1_funct_1(E) & m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) -> (v1_grcat_1(E,B,C) & v1_grcat_1(D,A,B) -> v1_grcat_1(k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),A,C)))))))))))) # label(t14_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10753 (all A (-v3_struct_0(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) -> (all C (-v1_xboole_0(C) & v5_grcat_1(C) -> (m4_grcat_1(C,A,B) <-> (all D (m3_grcat_1(D,C) -> v2_grcat_1(D) & m1_grcat_1(D,A,B)))))))))) # label(d24_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10754 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & l1_cat_1(A) & v2_cat_1(A) -> v1_funct_2(k5_grcat_1(A,B),B,k1_grcat_1(A,B)) & m2_relset_1(k5_grcat_1(A,B),B,k1_grcat_1(A,B)) & v1_funct_1(k5_grcat_1(A,B)))) # label(dt_k5_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10755 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) -> k1_grcat_1(A,B) = k3_tarski(a_2_0_grcat_1(A,B)))))) # label(d5_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10756 (all A ((all B (r2_hidden(B,A) -> l1_grcat_1(B) & v3_grcat_1(B) & v2_grcat_1(B))) <-> v5_grcat_1(A))) # label(d23_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10757 $T # label(dt_l1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10758 (exists A (l1_grcat_1(A) & v2_grcat_1(A) & v3_grcat_1(A))) # label(rc2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10759 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,k20_grcat_1(A)) & v4_grcat_1(A) -> v1_rlvect_1(k22_grcat_1(A,B)) & m2_grcat_1(k22_grcat_1(A,B),A))) # label(dt_k22_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10760 (all A all B (-v3_struct_0(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v4_rlvect_1(B) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & -v3_struct_0(A) -> v2_grcat_1(k12_grcat_1(A,B)))) # label(fc4_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10761 (all A (-v1_xboole_0(A) & v1_classes2(A) -> v2_cat_1(k28_grcat_1(A)) & v1_cat_1(k28_grcat_1(A)))) # label(fc11_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10762 (all A (l1_grcat_1(A) -> (v2_grcat_1(A) -> A = g1_grcat_1(u1_grcat_1(A),u2_grcat_1(A),u3_grcat_1(A))))) # label(abstractness_v2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10763 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B all C (r2_hidden(B,C) & r2_hidden(C,A) -> r2_hidden(B,A))))) # label(t4_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10764 (all A (v2_grcat_1(A) & l1_grcat_1(A) & v3_grcat_1(A) -> -v1_xboole_0(k1_tarski(A)) & v5_grcat_1(k1_tarski(A)))) # label(t37_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10765 (all A (-v1_xboole_0(A) & v1_classes2(A) -> (all B (m1_subset_1(B,u2_cat_1(k28_grcat_1(A))) -> (all C (m1_subset_1(C,u2_cat_1(k28_grcat_1(A))) -> (r2_hidden(k4_tarski(C,B),k1_relat_1(u5_cat_1(k28_grcat_1(A)))) <-> k3_cat_1(k28_grcat_1(A),B) = k2_cat_1(k28_grcat_1(A),C)))))))) # label(t46_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10766 $T # label(t27_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10767 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B ((all C (r2_hidden(C,B) <-> (exists D (r1_grcat_1(D,C) & r2_hidden(D,A))))) <-> k19_grcat_1(A) = B)))) # label(d29_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10768 (all A (v4_rlvect_1(A) & v5_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & -v3_struct_0(A) -> k9_grcat_1(k13_grcat_1(A)) = A & (all B (v2_grcat_1(B) & v3_grcat_1(B) & l1_grcat_1(B) -> (k10_grcat_1(B) = A -> k15_grcat_1(k13_grcat_1(A),B) = B))) & (all B (v3_grcat_1(B) & l1_grcat_1(B) & v2_grcat_1(B) -> (A = k9_grcat_1(B) -> B = k15_grcat_1(B,k13_grcat_1(A))))) & k10_grcat_1(k13_grcat_1(A)) = A)) # label(t34_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10769 (all A (-v3_struct_0(A) & l1_rlvect_1(A) -> (all B (l1_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> v1_grcat_1(k8_grcat_1(A,B),A,B))))) # label(t16_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10770 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> v1_funct_1(k27_grcat_1(A)) & m2_relset_1(k27_grcat_1(A),k2_zfmisc_1(k20_grcat_1(A),k20_grcat_1(A)),k20_grcat_1(A)))) # label(dt_k27_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10771 (all A (l1_struct_0(A) -> v1_funct_1(k7_grcat_1(A)) & m2_relset_1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k7_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10772 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> m2_relset_1(k26_grcat_1(A),A,k20_grcat_1(A)) & v1_funct_2(k26_grcat_1(A),A,k20_grcat_1(A)) & v1_funct_1(k26_grcat_1(A)))) # label(dt_k26_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10773 $T # label(t36_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10774 (all A (v5_grcat_1(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,A) <-> m3_grcat_1(B,A))))) # label(redefinition_m3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10775 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> (all B (m3_grcat_1(B,k20_grcat_1(A)) -> (all C (m3_grcat_1(C,k20_grcat_1(A)) -> (k21_grcat_1(A,B) = k22_grcat_1(A,C) -> r2_hidden(k15_grcat_1(B,C),k20_grcat_1(A))))))))) # label(t45_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10776 (all A all B (v2_cat_1(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & l1_cat_1(A) -> v1_funct_1(k3_grcat_1(A,B)) & v1_funct_2(k3_grcat_1(A,B),k1_grcat_1(A,B),B) & m2_relset_1(k3_grcat_1(A,B),k1_grcat_1(A,B),B))) # label(dt_k3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10777 (all A all B ((exists C exists D exists E exists F ((exists G (-v3_struct_0(G) & v1_rlvect_1(G) & v4_rlvect_1(G) & v5_rlvect_1(G) & C = u1_struct_0(G) & F = u2_struct_0(G) & k7_vectsp_1(G) = E & D = u1_rlvect_1(G) & G = B & l1_rlvect_1(G) & v6_rlvect_1(G))) & k4_mcart_1(C,D,E,F) = A)) <-> r1_grcat_1(A,B))) # label(d28_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10778 (all A (v1_classes2(A) & -v1_xboole_0(A) -> r2_hidden(k2_algstr_1,k31_grcat_1(A)))) # label(t54_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10779 (all A all B all C (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & m4_grcat_1(C,A,B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v5_rlvect_1(A) -> (exists D m7_grcat_1(D,A,B,C)))) # label(existence_m7_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10780 (all A all B all C (l1_struct_0(A) & -v3_struct_0(B) & m5_grcat_1(C,A,B) & -v1_xboole_0(C) & l1_struct_0(B) -> (all D (m6_grcat_1(D,A,B,C) <-> m1_subset_1(D,C))))) # label(redefinition_m6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10781 (all A (v1_classes2(A) & -v1_xboole_0(A) -> k29_grcat_1(A) = a_1_0_grcat_1(A))) # label(d37_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10782 $T # label(dt_m5_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10783 (all A (v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> (all B (v5_rlvect_1(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & l1_rlvect_1(C) & v6_rlvect_1(C) -> (all D (l1_rlvect_1(D) & v6_rlvect_1(D) & v5_rlvect_1(D) & v4_rlvect_1(D) & -v3_struct_0(D) -> (all E (m1_grcat_1(E,A,B) & v2_grcat_1(E) -> (all F (m1_grcat_1(F,B,C) & v2_grcat_1(F) -> (all G (v2_grcat_1(G) & m1_grcat_1(G,C,D) -> k16_grcat_1(A,C,D,G,k16_grcat_1(A,B,C,F,E)) = k16_grcat_1(A,B,D,k16_grcat_1(B,C,D,G,F),E))))))))))))))) # label(t32_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10784 (all A (-v3_struct_0(A) & v4_rlvect_1(A) & l1_rlvect_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) -> (all B (-v3_struct_0(B) & v4_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) -> (all C (m1_grcat_1(C,A,B) -> (exists D (g1_grcat_1(A,B,D) = g1_grcat_1(u1_grcat_1(C),u2_grcat_1(C),u3_grcat_1(C)) & v1_grcat_1(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))))))))) # label(t22_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10785 (all A ((all B (r2_hidden(B,A) -> -v3_struct_0(B) & v1_rlvect_1(B) & v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B))) <-> v4_grcat_1(A))) # label(d22_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10786 (all A (-v1_xboole_0(A) & v1_classes2(A) -> l1_cat_1(k28_grcat_1(A)))) # label(dt_k28_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10787 (all A (l1_grcat_1(A) & v3_grcat_1(A) -> (all B (l1_grcat_1(B) & v3_grcat_1(B) -> -((all C (v4_rlvect_1(C) & v6_rlvect_1(C) & l1_rlvect_1(C) & v5_rlvect_1(C) & -v3_struct_0(C) -> (all D (v5_rlvect_1(D) & v6_rlvect_1(D) & l1_rlvect_1(D) & v4_rlvect_1(D) & -v3_struct_0(D) -> (all E (v4_rlvect_1(E) & l1_rlvect_1(E) & v6_rlvect_1(E) & v5_rlvect_1(E) & -v3_struct_0(E) -> -(m1_grcat_1(B,C,D) & m1_grcat_1(A,D,E)))))))) & k9_grcat_1(A) = k10_grcat_1(B)))))) # label(t26_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10788 (all A (l1_grcat_1(A) -> m2_relset_1(u3_grcat_1(A),u1_struct_0(u1_grcat_1(A)),u1_struct_0(u2_grcat_1(A))) & v1_funct_2(u3_grcat_1(A),u1_struct_0(u1_grcat_1(A)),u1_struct_0(u2_grcat_1(A))) & v1_funct_1(u3_grcat_1(A)))) # label(dt_u3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10789 (all A (l1_rlvect_1(A) & -v3_struct_0(A) -> v1_grcat_1(k7_grcat_1(A),A,A))) # label(t21_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10790 (all A all B (l1_grcat_1(A) & l1_grcat_1(B) & v3_grcat_1(B) & v3_grcat_1(A) -> v2_grcat_1(k15_grcat_1(A,B)) & l1_grcat_1(k15_grcat_1(A,B)) & v3_grcat_1(k15_grcat_1(A,B)))) # label(dt_k15_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10791 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> (exists B (v5_rlvect_1(B) & v1_algstr_1(B) & v4_algstr_1(B) & v5_algstr_1(B) & v6_algstr_1(B) & v3_algstr_1(B) & v2_algstr_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & v1_rlvect_1(B) & -v3_struct_0(B) & m1_subset_1(B,A))))) # label(rc5_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10792 (all A all B (-v1_xboole_0(B) & v1_classes2(B) -> (r2_hidden(A,a_1_0_grcat_1(B)) <-> (exists C (C = A & (exists D (-v3_struct_0(D) & v6_rlvect_1(D) & l1_rlvect_1(D) & C = D & v5_rlvect_1(D) & v4_rlvect_1(D) & v3_rlvect_1(D))) & m1_subset_1(C,u1_cat_1(k28_grcat_1(B)))))))) # label(fraenkel_a_1_0_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10793 (all A (l1_grcat_1(A) -> (all B (v4_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v5_rlvect_1(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l1_rlvect_1(C) & v4_rlvect_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) -> (A = g1_grcat_1(B,C,D) -> k10_grcat_1(A) = C & k11_grcat_1(A) = D & B = k9_grcat_1(A)))))))))) # label(t17_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10794 (all A (l2_struct_0(A) & -v3_struct_0(A) -> (all B (l1_rlvect_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_rlvect_1(B) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),k8_grcat_1(A,B),C))))))) # label(t15_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10795 (all A (l1_grcat_1(A) & v3_grcat_1(A) & v2_grcat_1(A) -> (exists B (-v3_struct_0(B) & v6_rlvect_1(B) & l1_rlvect_1(B) & (exists C (-v3_struct_0(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & (exists D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & g1_grcat_1(B,C,D) = A & v1_grcat_1(D,B,C) & m1_grcat_1(A,B,C) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)))) & l1_rlvect_1(C))) & v5_rlvect_1(B) & v4_rlvect_1(B))))) # label(t25_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.05 10796 (all A all B (-v1_xboole_0(B) & v1_classes2(B) -> ((exists C (A = C & (exists D (-v3_struct_0(D) & v3_rlvect_1(D) & v1_midsp_2(D) & l1_rlvect_1(D) & D = C & v6_rlvect_1(D) & v5_rlvect_1(D) & v4_rlvect_1(D))) & m1_subset_1(C,u1_cat_1(k30_grcat_1(B))))) <-> r2_hidden(A,a_1_1_grcat_1(B))))) # label(fraenkel_a_1_1_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10797 (all A (v5_grcat_1(A) & -v1_xboole_0(A) -> (exists B m3_grcat_1(B,A)))) # label(existence_m3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10798 (all A (v2_grcat_1(A) & v3_grcat_1(A) & l1_grcat_1(A) -> (all B (v3_grcat_1(B) & l1_grcat_1(B) & v2_grcat_1(B) -> -(k10_grcat_1(A) = k9_grcat_1(B) & (all C (-v3_struct_0(C) & v6_rlvect_1(C) & l1_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) -> (all D (-v3_struct_0(D) & v5_rlvect_1(D) & l1_rlvect_1(D) & v6_rlvect_1(D) & v4_rlvect_1(D) -> (all E (-v3_struct_0(E) & v5_rlvect_1(E) & v6_rlvect_1(E) & l1_rlvect_1(E) & v4_rlvect_1(E) -> (all F (m2_relset_1(F,u1_struct_0(C),u1_struct_0(D)) & v1_funct_2(F,u1_struct_0(C),u1_struct_0(D)) & v1_funct_1(F) -> (all G (v1_funct_1(G) & m2_relset_1(G,u1_struct_0(D),u1_struct_0(E)) & v1_funct_2(G,u1_struct_0(D),u1_struct_0(E)) -> -(A = g1_grcat_1(C,D,F) & k15_grcat_1(B,A) = g1_grcat_1(C,E,k7_funct_2(u1_struct_0(C),u1_struct_0(D),u1_struct_0(E),F,G)) & B = g1_grcat_1(D,E,G))))))))))))))))) # label(t30_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10799 (all A (v1_classes2(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> m1_subset_1(k3_mcart_1(B,C,D),A) & m1_subset_1(k4_mcart_1(B,C,D,E),A))))))))))) # label(t3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10800 (exists A (-v1_xboole_0(A) & v5_grcat_1(A))) # label(rc6_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10801 (all A all B (l1_struct_0(A) & -v3_struct_0(B) & l1_struct_0(B) -> -v1_xboole_0(k17_grcat_1(A,B)))) # label(fc7_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10802 (all A all B (l2_struct_0(B) & -v3_struct_0(B) & l2_struct_0(A) & -v3_struct_0(A) -> v1_funct_1(k8_grcat_1(A,B)) & v1_funct_2(k8_grcat_1(A,B),u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(k8_grcat_1(A,B),u1_struct_0(A),u1_struct_0(B)))) # label(dt_k8_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10803 (all A (l1_grcat_1(A) -> m2_relset_1(k11_grcat_1(A),u1_struct_0(k9_grcat_1(A)),u1_struct_0(k10_grcat_1(A))) & v1_funct_2(k11_grcat_1(A),u1_struct_0(k9_grcat_1(A)),u1_struct_0(k10_grcat_1(A))) & v1_funct_1(k11_grcat_1(A)))) # label(dt_k11_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10804 (all A (v5_grcat_1(A) & -v1_xboole_0(A) -> (exists B (v2_grcat_1(B) & v3_grcat_1(B) & m1_subset_1(B,A))))) # label(rc7_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10805 (all A (l1_grcat_1(A) -> -v3_struct_0(u2_grcat_1(A)) & v4_rlvect_1(u2_grcat_1(A)) & v6_rlvect_1(u2_grcat_1(A)) & l1_rlvect_1(u2_grcat_1(A)) & v5_rlvect_1(u2_grcat_1(A)))) # label(dt_u2_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10806 (all A all B (l1_struct_0(B) & l1_struct_0(A) -> m5_grcat_1(k17_grcat_1(A,B),A,B))) # label(dt_k17_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10807 (all A all B (-v3_struct_0(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & l1_rlvect_1(A) & v5_rlvect_1(B) & l1_rlvect_1(B) & v6_rlvect_1(B) & v4_rlvect_1(B) & -v3_struct_0(B) & v5_rlvect_1(A) -> v2_grcat_1(k14_grcat_1(A,B)) & m1_grcat_1(k14_grcat_1(A,B),A,B))) # label(dt_k14_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10808 (all A (v4_grcat_1(A) & -v1_xboole_0(A) -> m2_relset_1(k25_grcat_1(A),k20_grcat_1(A),A) & v1_funct_2(k25_grcat_1(A),k20_grcat_1(A),A) & v1_funct_1(k25_grcat_1(A)))) # label(dt_k25_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10809 (all A all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_cat_1(A))) & l1_cat_1(A) & v2_cat_1(A) -> v2_cat_1(k6_grcat_1(A,B)) & v1_cat_1(k6_grcat_1(A,B)))) # label(fc3_grcat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10810 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> (all C (m1_subset_1(C,u1_struct_0(k6_group_6(A,B))) -> C = k7_group_6(A,B,C))))))) # label(d6_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10811 $T # label(t38_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10812 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> v1_funct_1(k6_partfun1(u1_struct_0(A))) & v1_funct_2(k6_partfun1(u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k6_partfun1(u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A)) & v1_group_6(k6_partfun1(u1_struct_0(A)),A,A))) # label(t47_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10813 (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) -> (all C (m1_group_6(C,A,B) <-> m1_group_2(C,B))))) # label(redefinition_m1_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10814 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & 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]. 188.64/188.06 10815 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (l1_group_1(B) & -v3_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,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)))))) <-> v1_group_6(C,A,B)))))))) # label(d7_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10816 $T # label(t39_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10817 (all A (v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_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(B) = k9_group_1(A)))))) # label(t86_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10818 (all A all B (v3_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & v1_group_3(B,A) & v4_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]. 188.64/188.06 10819 (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_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) -> (v4_group_6(C,A,B) <-> v3_group_6(C,A,B) & v2_group_6(C,A,B)))))))) # label(d14_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10820 (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 (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(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) -> k6_group_1(C,A,k8_funct_2(u1_struct_0(B),u1_struct_0(C),E,D)) = k8_funct_2(u1_struct_0(B),u1_struct_0(C),E,k6_group_1(B,A,D)))))))))))) # label(t46_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10821 $T # label(t20_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10822 (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) & 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]. 188.64/188.06 10823 (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]. 188.64/188.06 10824 (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) -> v1_funct_2(k11_group_6(A,B),u1_struct_0(A),u1_struct_0(k6_group_6(A,B))) & v1_group_6(k11_group_6(A,B),A,k6_group_6(A,B)) & m2_relset_1(k11_group_6(A,B),u1_struct_0(A),u1_struct_0(k6_group_6(A,B))) & v1_funct_1(k11_group_6(A,B)))) # label(dt_k11_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10825 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> r1_rlvect_1(B,k2_group_5(A,C,D)))))) <-> m1_group_6(k9_group_5(A),A,B)))))) # label(t8_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10826 $T # label(t19_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10827 (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) -> v3_group_6(k11_group_6(A,B),A,k6_group_6(A,B)))))) # label(t69_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10828 (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 (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) -> (exists D (v1_group_6(D,k6_group_6(B,k12_group_6(B,A,C)),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) & 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))) & v1_funct_2(D,u1_struct_0(k6_group_6(B,k12_group_6(B,A,C))),u1_struct_0(k13_group_6(B,A,C))) & v1_funct_1(D))))))))) # label(t91_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10829 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & 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]. 188.64/188.06 10830 (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,k1_group_1(A,C,k3_group_1(A,B))) = k2_group_3(A,C,k3_group_1(A,B)) & k1_group_1(A,k1_group_1(A,B,C),k3_group_1(A,B)) = k2_group_3(A,C,k3_group_1(A,B)))))))) # label(t4_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10831 (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) -> u1_struct_0(k6_group_6(A,B)) = k4_group_6(A,B))))) # label(t22_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10832 (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) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(k6_group_6(A,B))) & v1_group_6(C,A,k6_group_6(A,B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(k6_group_6(A,B))) & 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))) <-> k11_group_6(A,B) = C))))))) # label(d9_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10833 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) & v1_group_3(C,A) -> (m1_group_6(C,A,B) -> v1_group_3(C,B) & m1_group_6(C,A,B)))))))) # label(t9_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10834 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (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)) & v1_group_6(D,A,B) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(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]. 188.64/188.06 10835 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) & v1_funct_1(C) -> (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)) & m2_relset_1(k2_funct_1(C),u1_struct_0(k13_group_6(B,A,C)),u1_struct_0(B)) & v1_group_6(k2_funct_1(C),k13_group_6(B,A,C),B)))))))) # label(t65_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10836 (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) -> (all C (m1_group_6(C,A,B) -> m1_group_2(C,A))))) # label(dt_m1_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10837 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_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]. 188.64/188.06 10838 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -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)) -> (v2_group_6(D,A,B) & r1_rlvect_1(k13_group_6(A,B,D),C) -> C = k1_funct_1(D,k1_funct_1(k2_funct_1(D),C))))))))))) # label(t63_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10839 (all A all B all C all D all E (-v3_struct_0(A) & v4_group_1(A) & v3_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)) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(E) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & m1_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(D,A,B) & v4_group_1(C) & v3_group_1(C) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) & l1_group_1(A) & v3_group_1(A) -> k5_relat_1(D,E) = k8_group_6(A,B,C,D,E))) # label(redefinition_k8_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10840 (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) -> (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) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,k2_group_3(A,C,D)) = k2_group_3(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,C),k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,D)))))))))))) # label(t42_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10841 (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)) -> v6_group_1(k6_group_6(A,B))))))) # label(t31_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10842 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & v1_group_1(B) & -v3_struct_0(B) -> (r2_group_6(A,B) -> k8_group_1(A) = k8_group_1(B)))))) # label(t84_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10843 (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)) & v1_group_6(F,A,B) & m2_relset_1(F,u1_struct_0(A),u1_struct_0(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]. 188.64/188.06 10844 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & m1_group_2(B,A) & v1_group_3(C,A) & m1_group_2(C,A) & l1_group_1(A) & v4_group_1(A) -> v1_group_3(k2_group_6(A,B,C),B) & m1_group_6(k2_group_6(A,B,C),A,B) & v1_group_1(k2_group_6(A,B,C)))) # label(dt_k2_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10845 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & v1_group_1(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (v3_group_6(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (exists E (D = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) & m1_subset_1(E,u1_struct_0(A))))))))))))) # label(t68_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10846 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(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]. 188.64/188.06 10847 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (-v3_struct_0(B) & v1_group_1(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (v1_funct_1(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)) -> (v4_group_6(C,A,B) -> v1_funct_2(k2_funct_1(C),u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(k2_funct_1(C),u1_struct_0(B),u1_struct_0(A)) & v1_group_6(k2_funct_1(C),B,A) & v1_funct_1(k2_funct_1(C))))))))) # label(t72_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10848 (all A (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_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]. 188.64/188.06 10849 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B all C (v1_group_3(C,A) & m1_group_2(C,A) -> -(r2_hidden(B,k4_group_6(A,C)) & (all D (m1_subset_1(D,u1_struct_0(A)) -> -(k13_group_2(A,C,D) = B & k12_group_2(A,C,D) = B)))))))) # label(t15_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10850 (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) -> v1_funct_1(k5_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)) & 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)))) # label(dt_k5_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10851 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) & v1_group_3(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]. 188.64/188.06 10852 (all A all B all C all D (v4_group_1(B) & l1_group_1(B) & -v3_struct_0(C) & v4_group_1(C) & l1_group_1(C) & v1_funct_1(D) & v1_group_6(D,B,C) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(C)) & v1_funct_2(D,u1_struct_0(B),u1_struct_0(C)) & v3_group_1(C) & v3_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_0_group_6(B,C,D)) <-> (exists E (A = E & k8_funct_2(u1_struct_0(B),u1_struct_0(C),D,E) = k2_group_1(C) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_0_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10853 (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) -> k2_group_1(k6_group_6(A,B)) = k7_group_2(A,B))))) # label(t29_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10854 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (v3_realset2(A) <-> v6_group_1(A) & k9_group_1(A) = np__1))) # label(t12_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10855 (exists A (l1_group_1(A) & -v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v3_realset2(A) & v2_group_1(A))) # label(rc1_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10856 (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(B),u1_struct_0(A)) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) -> (v2_group_6(C,B,A) <-> r1_group_2(B,k12_group_6(B,A,C),k5_group_2(B))))))))) # label(t66_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10857 (all A all B all C (v4_group_1(A) & -v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v1_group_6(C,A,B) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) & v3_group_1(B) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_group_1(k12_group_6(A,B,C)) & m1_group_2(k12_group_6(A,B,C),A))) # label(dt_k12_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10858 (all A all B all C (v4_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) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k9_group_6(A,B,C) = k2_relat_1(C))) # label(redefinition_k9_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10859 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & 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) -> 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]. 188.64/188.06 10860 (all A (v3_group_1(A) & l1_group_1(A) & v4_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 (-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(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) & 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]. 188.64/188.06 10861 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,A,B) & v1_funct_2(C,A,B) -> (v2_funct_1(C) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (k8_funct_2(A,B,C,E) = k8_funct_2(A,B,C,D) -> D = E)))))))))))) # label(t1_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10862 (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) -> (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]. 188.64/188.06 10863 (all A all B (v1_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_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]. 188.64/188.06 10864 (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)) -> k10_group_2(A,B,k12_group_2(A,B,C)) = k12_group_2(A,B,C) & k12_group_2(A,B,C) = k3_group_2(A,C,k7_group_4(A,B,B)) & k4_group_2(A,C,k7_group_4(A,B,B)) = k13_group_2(A,B,C) & k11_group_2(A,B,k13_group_2(A,B,C)) = k13_group_2(A,B,C))))))) # label(t6_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10865 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (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) -> 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]. 188.64/188.06 10866 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> (all C (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) -> (k6_group_6(B,k1_group_6(A,B,C)) = D & 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]. 188.64/188.06 10867 (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) -> (all C (m1_subset_1(C,u1_struct_0(k6_group_6(A,B))) -> (exists D (k13_group_2(A,B,D) = C & k12_group_2(A,B,D) = C & m1_subset_1(D,u1_struct_0(A)))))))))) # label(t26_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10868 $T # label(t76_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10869 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (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) -> 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]. 188.64/188.06 10870 (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) -> (r1_group_6(A,B) <-> (exists C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v4_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))))))))) # label(d15_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10871 (all A all B all C (v3_group_1(A) & l1_group_1(A) & v1_group_3(B,A) & m1_group_2(C,A) & m1_group_2(B,A) & v4_group_1(A) & -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]. 188.64/188.06 10872 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) & v1_group_3(B,A) -> k4_group_6(A,B) = k14_group_2(A,B) & k15_group_2(A,B) = k4_group_6(A,B))))) # label(t14_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10873 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_3(C,A) & m1_group_2(C,A) -> m1_group_6(k9_group_2(A,B,C),A,B) & v1_group_3(k9_group_2(A,C,B),B) & m1_group_6(k9_group_2(A,C,B),A,B) & v1_group_3(k9_group_2(A,B,C),B))))))) # label(t10_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10874 (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_group_3(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]. 188.64/188.06 10875 (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) -> k4_group_6(A,B) = k14_group_2(A,B))))) # label(d3_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10876 (all A all B all C (v3_group_1(A) & v4_group_1(A) & -v3_struct_0(B) & v3_group_1(B) & v1_funct_1(C) & v1_group_6(C,A,B) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & l1_group_1(B) & v4_group_1(B) & l1_group_1(A) & -v3_struct_0(A) -> m1_group_2(k13_group_6(A,B,C),B) & v1_group_1(k13_group_6(A,B,C)))) # label(dt_k13_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10877 (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) -> u1_group_1(k6_group_6(A,B)) = k5_group_6(A,B))))) # label(t23_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10878 (all A (v4_group_1(A) & l1_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_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)) -> (v6_group_1(B) -> v6_group_1(k13_group_6(B,A,C))))))))) # label(t59_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10879 (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 (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & v1_funct_1(C) -> (all D (v1_group_1(D) & m1_group_2(D,A) -> (D = k12_group_6(A,B,C) <-> u1_struct_0(D) = a_3_0_group_6(A,B,C)))))))))) # label(d10_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10880 (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 (v1_funct_1(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)) -> (k5_group_6(A,B) = 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))) -> (F = D & E = G -> 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))))))))))))))))) # label(d4_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10881 (all A all B (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & -v3_struct_0(B) & v4_group_1(A) & v3_group_1(A) -> r1_group_6(A,A))) # label(reflexivity_r1_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10882 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (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)) -> 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]. 188.64/188.06 10883 (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 (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) -> (v3_group_1(B) & v4_group_1(B) & v7_group_1(B) & l1_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]. 188.64/188.06 10884 (all A all B all C (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(B) & l1_group_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v4_group_1(B) & -v3_struct_0(B) & v3_group_1(A) -> m1_subset_1(k9_group_6(A,B,C),k1_zfmisc_1(u1_struct_0(B))))) # label(dt_k9_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10885 (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) -> k6_group_6(A,B) = g1_group_1(k4_group_6(A,B),k5_group_6(A,B)))))) # label(d5_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10886 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (all C (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) -> k9_group_6(A,B,C) = u1_struct_0(B) & u1_struct_0(A) = k1_relat_1(C)))))))) # label(t71_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10887 (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 (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) -> (v2_group_6(C,B,A) -> r1_group_6(B,k13_group_6(B,A,C))))))))) # label(t79_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10888 (all A (v3_group_1(A) & v4_group_1(A) & l1_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) -> (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v7_group_1(A) & r1_group_6(A,B) -> -v3_struct_0(B) & v4_group_1(B) & v7_group_1(B) & l1_group_1(B) & v3_group_1(B)))))) # label(t89_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10889 (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 (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) -> r1_tarski(k8_group_1(k13_group_6(B,A,C)),k8_group_1(B)))))))) # label(t61_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10890 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_3(B,A) & m1_group_2(B,A) -> -v3_struct_0(k6_group_6(A,B)) & 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)))) # label(fc5_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10891 (all A all B all C (-v3_struct_0(A) & v1_group_3(B,A) & m1_group_2(C,A) & m1_group_2(B,A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> m1_group_6(k3_group_6(A,B,C),A,C) & v1_group_3(k3_group_6(A,B,C),C) & v1_group_1(k3_group_6(A,B,C)))) # label(dt_k3_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10892 $T # label(t5_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10893 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (l1_group_1(C) & v4_group_1(C) & v3_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]. 188.64/188.06 10894 (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 (-v3_struct_0(C) & v4_group_1(C) & l1_group_1(C) & v3_group_1(C) -> (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)) -> (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_group_6(A,B,C,D,k10_group_6(B,C)) = k10_group_6(A,C) & k10_group_6(A,C) = k8_group_6(A,B,C,k10_group_6(A,B),E))))))))))) # label(t49_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10895 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (all C (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(B)) -> (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)) -> k6_group_1(C,A,k8_funct_2(u1_struct_0(B),u1_struct_0(C),E,D)) = k8_funct_2(u1_struct_0(B),u1_struct_0(C),E,k6_group_1(B,A,D)))))))))))) # label(t45_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.06 10896 (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) -> 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]. 188.64/188.07 10897 (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 (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) -> (all D (m1_group_2(D,B) & v1_group_1(D) -> (k13_group_6(A,B,C) = D <-> u1_struct_0(D) = k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(A))))))))))) # label(d11_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10898 (all A all B (-v3_struct_0(A) & v3_group_1(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) -> v1_funct_1(k10_group_6(A,B)) & v1_funct_2(k10_group_6(A,B),u1_struct_0(A),u1_struct_0(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))) # label(dt_k10_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10899 (all A all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (exists C (v1_relat_1(C) & v1_funct_1(C) & v1_partfun1(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_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]. 188.64/188.07 10900 (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 (v1_group_3(D,A) & m1_group_2(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]. 188.64/188.07 10901 (all A all B (v1_group_1(A) & v3_group_1(A) & -v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & v1_group_1(B) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> r2_group_6(A,A))) # label(reflexivity_r2_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10902 (all A all B (v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_1_0_group_6(B)) <-> (exists C exists D (m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & A = k2_group_5(B,C,D)))))) # label(fraenkel_a_1_0_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10903 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> -v3_struct_0(k6_group_2(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)))) # label(fc2_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10904 (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 all D (v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(D,B,A) & v1_funct_1(D) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & C = k8_funct_2(u1_struct_0(B),u1_struct_0(A),D,E))) <-> r1_rlvect_1(k13_group_6(B,A,D),C)))))))) # label(t54_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10905 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_1(B) & v1_group_3(B,A) & m1_group_2(B,A) -> (all C (v1_group_3(C,A) & m1_group_2(C,A) & v1_group_1(C) -> (m1_group_6(C,A,B) -> v1_group_3(k6_group_6(B,k1_group_6(A,B,C)),k6_group_6(A,C)) & m1_group_2(k6_group_6(B,k1_group_6(A,B,C)),k6_group_6(A,C))))))))) # label(t35_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10906 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) -> (all C (v4_group_1(C) & l1_group_1(C) & v3_group_1(C) & -v3_struct_0(C) -> (all D (v1_funct_2(D,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(D,B,A) & m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(C)) & v1_group_6(E,A,C) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(C)) -> v1_funct_1(k7_funct_2(u1_struct_0(B),u1_struct_0(A),u1_struct_0(C),D,E)) & v1_funct_2(k7_funct_2(u1_struct_0(B),u1_struct_0(A),u1_struct_0(C),D,E),u1_struct_0(B),u1_struct_0(C)) & v1_group_6(k7_funct_2(u1_struct_0(B),u1_struct_0(A),u1_struct_0(C),D,E),B,C) & m2_relset_1(k7_funct_2(u1_struct_0(B),u1_struct_0(A),u1_struct_0(C),D,E),u1_struct_0(B),u1_struct_0(C)))))))))))) # label(t48_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10907 (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_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]. 188.64/188.07 10908 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v2_group_1(k5_group_2(A)) & v3_group_1(k5_group_2(A)) & v1_group_3(k5_group_2(A),A) & v4_group_1(k5_group_2(A)) & v1_group_1(k5_group_2(A)) & -v3_struct_0(k5_group_2(A)))) # label(fc1_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10909 (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 (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) -> v1_funct_1(C) & v1_group_6(C,B,k13_group_6(B,A,C)) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(k13_group_6(B,A,C))) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(k13_group_6(B,A,C))))))))) # label(t58_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10910 (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 (m1_group_6(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (C = E -> k12_group_2(A,D,C) = k12_group_2(B,D,E) & k13_group_2(B,D,E) = k13_group_2(A,D,C)))))))))))) # label(t2_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10911 (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 (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_funct_1(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)) -> (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]. 188.64/188.07 10912 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> v3_realset2(k6_group_6(A,k6_group_2(A))))) # label(t83_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10913 (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_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) -> (k2_group_1(B) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),D,C) <-> r1_rlvect_1(k12_group_6(A,B,D),C)))))))))) # label(t50_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10914 (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 (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (v1_funct_1(E) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(E,A,B) & v1_funct_2(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]. 188.64/188.07 10915 (all A all B (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & v1_group_3(B,A) & v4_group_1(A) -> -v1_xboole_0(k4_group_6(A,B)))) # label(fc3_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10916 $T # label(dt_k4_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10917 (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 (v1_group_3(C,A) & m1_group_2(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]. 188.64/188.07 10918 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (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) -> (all D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) -> (k2_funct_1(C) = D & v4_group_6(C,B,A) -> v4_group_6(D,A,B)))))))))) # label(t73_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10919 (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) <-> v2_funct_1(C)))))))) # label(d12_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10920 (all A all B all C (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & v1_group_3(C,A) & m1_group_2(C,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]. 188.64/188.07 10921 (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) -> r2_group_6(k5_group_2(A),k5_group_2(B)))))) # label(t81_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10922 (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) -> (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]. 188.64/188.07 10923 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(k6_group_6(A,B))) -> (all D (m1_subset_1(D,u1_struct_0(k6_group_6(A,B))) -> k2_group_2(A,k7_group_6(A,B,C),k7_group_6(A,B,D)) = k7_group_6(A,B,k1_group_1(k6_group_6(A,B),C,D)))))))))) # label(t25_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10924 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B all C (m1_group_2(C,A) & v1_group_3(C,A) -> (r1_rlvect_1(k6_group_6(A,C),B) <-> (exists D (B = k13_group_2(A,C,D) & B = k12_group_2(A,C,D) & m1_subset_1(D,u1_struct_0(A))))))))) # label(t28_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10925 (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 (v1_funct_1(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)) -> 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]. 188.64/188.07 10926 (all A (v1_group_1(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) & v1_group_1(B) & -v3_struct_0(B) -> (v3_realset2(A) & r2_group_6(A,B) -> v3_realset2(B)))))) # label(t87_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10927 (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) -> -v3_struct_0(k6_group_6(A,B)) & v1_group_1(k6_group_6(A,B)))) # label(fc4_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10928 (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]. 188.64/188.07 10929 (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) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) -> (r1_group_6(A,B) -> r1_group_6(B,A)))))) # label(t77_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10930 (all A all B all C (v3_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & v1_group_3(C,A) & m1_group_2(C,A) & v4_group_1(A) & -v3_struct_0(A) -> k8_group_2(A,B,C) = k2_group_6(A,B,C))) # label(redefinition_k2_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10931 (all A all B (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & v1_group_1(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) & l1_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]. 188.64/188.07 10932 $T # label(t21_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10933 $T # label(t88_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10934 (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) -> A = k5_group_2(A)))) # label(t13_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10935 (all A all B all C all D all E (v4_group_1(A) & -v3_struct_0(B) & -v3_struct_0(C) & v3_group_1(C) & v4_group_1(C) & l1_group_1(C) & v1_funct_1(D) & v1_group_6(D,A,B) & m1_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(E,u1_struct_0(B),u1_struct_0(C)) & v1_group_6(E,B,C) & m1_relset_1(E,u1_struct_0(B),u1_struct_0(C)) & v1_funct_1(E) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & l1_group_1(A) & 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]. 188.64/188.07 10936 $T # label(t37_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10937 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (v1_group_3(B,A) & m1_group_2(B,A) -> k13_group_6(A,k6_group_6(A,B),k11_group_6(A,B)) = k6_group_6(A,B))))) # label(t57_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10938 (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_group_3(C,A) -> (all D (m1_subset_1(D,u1_struct_0(k6_group_6(A,C))) -> (D = k12_group_2(A,C,B) -> k3_group_1(k6_group_6(A,C),D) = k12_group_2(A,C,k3_group_1(A,B))))))))))) # label(t30_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10939 (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 (v1_funct_1(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)) -> (u1_struct_0(B) = k9_group_6(A,B,C) & v2_funct_1(C) <-> v4_group_6(C,A,B)))))))) # label(t70_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10940 (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) & v1_group_1(C) -> (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]. 188.64/188.07 10941 (all A (v1_group_1(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) & 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]. 188.64/188.07 10942 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v1_funct_1(C) & v1_group_6(C,A,B) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) & v4_group_1(A) -> v1_group_1(k12_group_6(A,B,C)) & v2_group_1(k12_group_6(A,B,C)) & v3_group_1(k12_group_6(A,B,C)) & v4_group_1(k12_group_6(A,B,C)) & v1_group_3(k12_group_6(A,B,C),A) & -v3_struct_0(k12_group_6(A,B,C)))) # label(fc6_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10943 (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 (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)) -> (v3_group_6(C,A,B) <-> u1_struct_0(B) = k9_group_6(A,B,C)))))))) # label(d13_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10944 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_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]. 188.64/188.07 10945 (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))) -> (a_1_0_group_6(A) = B -> r1_group_2(A,k9_group_5(A),k5_group_4(A,B))))))) # label(t7_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10946 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> ((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))) <-> C = k10_group_6(A,B)))))))) # label(d8_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10947 (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 (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)) -> (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]. 188.64/188.07 10948 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (v6_group_1(A) & r1_group_6(A,B) -> v6_group_1(B)))))) # label(t85_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10949 (all A all B (-v3_struct_0(A) & v4_group_1(A) & m1_group_2(B,A) & l1_group_1(A) & v3_group_1(A) -> (exists C m1_group_6(C,A,B)))) # label(existence_m1_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10950 (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) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & -v3_struct_0(B) -> (v3_realset2(B) & v3_realset2(A) -> r2_group_6(A,B)))))) # label(t80_group_6) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10951 (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) & v1_group_3(B,A) & m1_group_2(B,A) -> (-v3_struct_0(k6_group_6(A,B)) & l1_group_1(k6_group_6(A,B)) & v7_group_1(k6_group_6(A,B)) & v4_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]. 188.64/188.07 10952 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m1_subset_1(C,u1_struct_0(A)))))))) # label(t2_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10953 (all A (v1_xreal_0(A) -> (all B (v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) & v7_metric_1(B) & v6_metric_1(B) -> (all C (m1_topmetr(C,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(C)) -> (D = E -> k3_xboole_0(k9_metric_1(B,D,A),u1_struct_0(C)) = k9_metric_1(C,E,A)))))))))))) # label(t13_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10954 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (v2_pre_topc(C) & l1_pre_topc(C) -> (all D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(C)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(C)) & v1_funct_1(D) -> (m1_pre_topc(C,B) & v5_pre_topc(D,A,C) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) -> (E = D -> v5_pre_topc(E,A,B))))))))))))) # label(t7_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10955 (all A (v9_metric_1(A) & l1_metric_1(A) & v8_metric_1(A) & v7_metric_1(A) & v6_metric_1(A) & -v3_struct_0(A) -> (v2_topmetr(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(v1_topmetr(B,A) & r1_topmetr(A,B) & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> -(r1_tarski(C,B) & v1_finset_1(C) & r1_topmetr(A,C)))))))))) # label(t23_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10956 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r1_xreal_0(A,B) -> (all C (-v3_struct_0(C) & m1_topmetr(C,k8_metric_1) & v1_metric_1(C) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k8_metric_1))) & -v1_xboole_0(D) -> (k1_rcomp_1(A,B) = D -> C = k1_topmetr(k8_metric_1,D)))) <-> C = k2_topmetr(A,B))))))))) # label(d3_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10957 (all A (m1_subset_1(A,u1_struct_0(k8_metric_1)) -> (all B (m1_subset_1(B,u1_struct_0(k8_metric_1)) -> (all C (v1_xreal_0(C) -> (all D (v1_xreal_0(D) -> (A = C & B = D -> k18_complex1(k6_xcmplx_0(C,D)) = k4_metric_1(k8_metric_1,A,B)))))))))) # label(t15_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10958 (all A all B (-v3_struct_0(A) & v8_metric_1(A) & v9_metric_1(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_metric_1(A) & v7_metric_1(A) & v6_metric_1(A) -> v1_metric_1(k1_topmetr(A,B)) & v6_metric_1(k1_topmetr(A,B)) & v8_metric_1(k1_topmetr(A,B)) & v9_metric_1(k1_topmetr(A,B)) & v7_metric_1(k1_topmetr(A,B)) & -v3_struct_0(k1_topmetr(A,B)))) # label(fc1_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10959 (all A (v7_metric_1(A) & v8_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v6_metric_1(A) & -v3_struct_0(A) -> (all B (m1_topmetr(B,A) & -v3_struct_0(B) -> m1_pre_topc(k5_pcomps_1(B),k5_pcomps_1(A)))))) # label(t19_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10960 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> m1_pre_topc(k4_topmetr(A,B),k3_topmetr) & v1_pre_topc(k4_topmetr(A,B)) & -v3_struct_0(k4_topmetr(A,B)))) # label(dt_k4_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10961 $T # label(t11_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10962 $T # label(t17_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10963 (all A (v1_xreal_0(A) -> (all B (l1_metric_1(B) & v9_metric_1(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k5_pcomps_1(B)))) -> (k9_metric_1(B,C,A) = D -> v3_pre_topc(D,k5_pcomps_1(B))))))))))) # label(t21_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10964 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r1_xreal_0(A,B) -> u1_struct_0(k2_topmetr(A,B)) = k1_rcomp_1(A,B)))))) # label(t14_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10965 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_topmetr(B,A) <-> (all C -(r2_hidden(C,B) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,k1_numbers) -> C != k9_metric_1(A,D,E)))))))))))) # label(d4_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10966 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> k4_topmetr(A,B) = k5_pcomps_1(k2_topmetr(A,B)))))) # label(d8_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10967 (all A (l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & v7_metric_1(A) & v6_metric_1(A) -> (all B (m1_topmetr(B,A) -> v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & l1_metric_1(B) & v9_metric_1(B))))) # label(dt_m1_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10968 (all A (-v3_struct_0(A) & v8_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v7_metric_1(A) & v6_metric_1(A) -> (exists B (-v3_struct_0(B) & v6_metric_1(B) & v9_metric_1(B) & v8_metric_1(B) & v7_metric_1(B) & v1_metric_1(B) & m1_topmetr(B,A))))) # label(rc2_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10969 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r1_xreal_0(A,B) -> u1_struct_0(k4_topmetr(A,B)) = k1_rcomp_1(A,B)))))) # label(t25_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10970 $T # label(t18_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10971 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> m1_pre_topc(B,C)))))))) # label(t4_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10972 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,C) -> (all D (m1_connsp_2(D,A,B) -> (all E (m1_subset_1(E,u1_struct_0(k3_pre_topc(A,C))) -> (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(k3_pre_topc(A,C)))) -> (F = k5_subset_1(u1_struct_0(A),D,C) & E = B -> m1_connsp_2(F,k3_pre_topc(A,C),E))))))))))))))) # label(t6_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10973 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (v3_compts_1(A) -> v3_compts_1(B)))))) # label(t3_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10974 (all A all B (v1_xreal_0(A) & v1_xreal_0(B) -> m1_topmetr(k2_topmetr(A,B),k8_metric_1) & v1_metric_1(k2_topmetr(A,B)) & -v3_struct_0(k2_topmetr(A,B)))) # label(dt_k2_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10975 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v5_pre_topc(C,A,B) -> (all E (m2_relset_1(E,u1_struct_0(A),u1_struct_0(k3_pre_topc(B,D))) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(k3_pre_topc(B,D))) & v1_funct_1(E) -> (C = E -> v5_pre_topc(E,A,k3_pre_topc(B,D)))))))))))))) # label(t9_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10976 (all A (v1_xreal_0(A) -> (all B (v1_xreal_0(B) -> (r1_xreal_0(A,B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k3_topmetr))) -> (C = k1_rcomp_1(A,B) -> k4_topmetr(A,B) = k3_pre_topc(k3_topmetr,C))))))))) # label(t26_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10977 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k15_euclid(A)))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k14_euclid(A)))) & -v1_xboole_0(C) -> (B = C -> k5_pcomps_1(k1_topmetr(k14_euclid(A),C)) = k3_pre_topc(k15_euclid(A),B)))))))) # label(t20_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10978 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (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_pre_topc(D,B) -> (v5_pre_topc(C,A,B) -> (all E (v1_funct_1(E) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(D)) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(D)) -> (E = C -> v5_pre_topc(E,A,D))))))))))))) # label(t8_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10979 (all A (l1_metric_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_topmetr(A,B) <-> r1_tarski(u1_struct_0(A),k5_setfam_1(u1_struct_0(A),B))))))) # label(d5_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10980 (all A all B (-v3_struct_0(A) & v7_metric_1(A) & v9_metric_1(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_metric_1(A) & v8_metric_1(A) & v6_metric_1(A) -> m1_topmetr(k1_topmetr(A,B),A) & v1_metric_1(k1_topmetr(A,B)))) # label(dt_k1_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10981 (all A (l1_metric_1(A) -> (v2_compts_1(k5_pcomps_1(A)) <-> v2_topmetr(A)))) # label(d6_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10982 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (r1_tarski(u1_struct_0(A),k5_setfam_1(u1_struct_0(A),B)) <-> r1_pre_topc(A,B)))))) # label(t1_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10983 (all A (l1_metric_1(A) -> u1_pre_topc(k5_pcomps_1(A)) = k4_pcomps_1(A) & u1_struct_0(k5_pcomps_1(A)) = u1_struct_0(A))) # label(t16_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10984 (all A (v7_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & v6_metric_1(A) -> (exists B m1_topmetr(B,A)))) # label(existence_m1_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10985 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> m1_pre_topc(k3_pre_topc(A,C),k3_pre_topc(A,k4_subset_1(u1_struct_0(A),B,C))) & m1_pre_topc(k3_pre_topc(A,B),k3_pre_topc(A,k4_subset_1(u1_struct_0(A),B,C))))))))) # label(t5_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10986 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(D) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_struct_0(k3_pre_topc(A,C)),u1_struct_0(B)) & m2_relset_1(E,u1_struct_0(k3_pre_topc(A,C)),u1_struct_0(B)) -> (v5_pre_topc(D,A,B) & E = k2_partfun1(u1_struct_0(A),u1_struct_0(B),D,C) -> v5_pre_topc(E,k3_pre_topc(A,C),B)))))))))))) # label(t10_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10987 (all A (-v3_struct_0(A) & v7_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v8_metric_1(A) & v6_metric_1(A) -> (all B (m1_topmetr(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m1_subset_1(C,u1_struct_0(A)))))))) # label(t12_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10988 (all A (v7_metric_1(A) & v8_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v6_metric_1(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (v1_metric_1(C) & m1_topmetr(C,A) -> (B = u1_struct_0(C) <-> C = k1_topmetr(A,B)))))))) # label(d2_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10989 (all A (v7_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v8_metric_1(A) & v6_metric_1(A) -> (all B (v6_metric_1(B) & v7_metric_1(B) & v8_metric_1(B) & v9_metric_1(B) & l1_metric_1(B) -> (m1_topmetr(B,A) <-> r1_tarski(u1_struct_0(B),u1_struct_0(A)) & (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k1_metric_1(u1_struct_0(B),u1_struct_0(B),u1_metric_1(B),C,D) = k1_binop_1(u1_metric_1(A),C,D)))))))))) # label(d1_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10990 (all A (v6_metric_1(A) & v9_metric_1(A) & l1_metric_1(A) & v8_metric_1(A) & v7_metric_1(A) -> (exists B (m1_topmetr(B,A) & v1_metric_1(B) & v7_metric_1(B) & v9_metric_1(B) & v8_metric_1(B) & v6_metric_1(B))))) # label(rc1_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10991 (all A (-v3_struct_0(A) & v7_metric_1(A) & l1_metric_1(A) & v9_metric_1(A) & v8_metric_1(A) & v6_metric_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k5_pcomps_1(A)))) -> (v3_pre_topc(B,k5_pcomps_1(A)) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(r2_hidden(C,B) & (all D (v1_xreal_0(D) -> -(-r1_xreal_0(D,np__0) & r1_tarski(k9_metric_1(A,C,D),B)))))))))))) # label(t22_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10992 (all A all B all C (m1_relset_1(B,A,u1_struct_0(k3_topmetr)) & v1_funct_1(B) -> v1_xcmplx_0(k1_funct_1(B,C)) & v1_xreal_0(k1_funct_1(B,C)))) # label(fc3_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10993 (all A (v1_funct_1(A) & m2_relset_1(A,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) & v1_funct_2(A,u1_struct_0(k3_topmetr),u1_struct_0(k3_topmetr)) -> ((exists B ((exists C ((all D (m1_subset_1(D,k1_numbers) -> k3_real_1(k4_real_1(B,D),C) = k1_funct_1(A,D))) & m1_subset_1(C,k1_numbers))) & m1_subset_1(B,k1_numbers))) -> v5_pre_topc(A,k3_topmetr,k3_topmetr)))) # label(t28_topmetr) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10994 (all A (m1_subset_1(A,k4_numbers) -> k2_gr_cy_1(k12_finseq_1(k4_numbers,A)) = A)) # label(t21_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10995 (all A (m1_subset_1(A,u1_struct_0(k3_gr_cy_1)) -> (A = np__1 -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> k6_group_1(k3_gr_cy_1,B,A) = B))))) # label(t38_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10996 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_gr_cy_1(A),k1_gr_cy_1(A)),k1_gr_cy_1(A)) & m2_relset_1(B,k2_zfmisc_1(k1_gr_cy_1(A),k1_gr_cy_1(A)),k1_gr_cy_1(A)) -> (B = k4_gr_cy_1(A) <-> (all C (m2_subset_1(C,k5_numbers,k1_gr_cy_1(A)) -> (all D (m2_subset_1(D,k5_numbers,k1_gr_cy_1(A)) -> k4_nat_1(k1_nat_1(C,D),A) = k2_binop_1(k1_gr_cy_1(A),k1_gr_cy_1(A),k1_gr_cy_1(A),B,C,D))))))))))) # label(d5_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10997 $T # label(t5_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10998 (all A (v4_ordinal2(A) -> (all B (v4_ordinal2(B) -> (-r1_xreal_0(A,np__0) -> (r2_hidden(B,k1_gr_cy_1(A)) <-> -r1_xreal_0(A,B))))))) # label(t10_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 10999 (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) -> (-v3_struct_0(A) & v4_group_1(A) & v1_gr_cy_1(A) & l1_group_1(A) & v3_group_1(A) & v6_group_1(A) -> v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & v1_gr_cy_1(B) & -v3_struct_0(B)))))) # label(t44_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 11000 $T # label(t1_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 11001 (all A all B (v4_ordinal2(B) -> (r2_hidden(A,a_1_0_gr_cy_1(B)) <-> (exists C (-r1_xreal_0(B,C) & C = A & m2_subset_1(C,k1_numbers,k5_numbers)))))) # label(fraenkel_a_1_0_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 11002 $T # label(t8_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 11003 $T # label(t4_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 11004 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (-r1_xreal_0(A,np__0) -> v3_group_1(k5_gr_cy_1(A)) & v4_group_1(k5_gr_cy_1(A)) & v1_gr_cy_1(k5_gr_cy_1(A)) & l1_group_1(k5_gr_cy_1(A)) & -v3_struct_0(k5_gr_cy_1(A))))) # label(t49_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 11005 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> k2_group_1(k5_gr_cy_1(A)) = np__0))) # label(t36_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 11006 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r1_xreal_0(A,B) -> r1_tarski(k1_gr_cy_1(A),k1_gr_cy_1(B)) | r1_xreal_0(A,np__0)))))) # label(t51_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 11007 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (v1_gr_cy_1(A) <-> (exists B (m1_subset_1(B,u1_struct_0(A)) & g1_group_1(u1_struct_0(A),u1_group_1(A)) = k5_group_4(A,k1_struct_0(A,B))))))) # label(d9_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.07 11008 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v6_group_1(A) -> k9_group_1(k5_group_4(A,k1_struct_0(A,B))) = k7_group_1(A,B)))))) # label(t27_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11009 $T # label(t47_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11010 $T # label(t3_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11011 $T # label(t23_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11012 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> v4_group_1(g1_group_1(k1_gr_cy_1(A),k4_gr_cy_1(A))) & v3_group_1(g1_group_1(k1_gr_cy_1(A),k4_gr_cy_1(A)))))) # label(t34_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11013 (all A (m1_finseq_1(A,k4_numbers) -> v1_int_1(k2_gr_cy_1(A)))) # label(dt_k2_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11014 (all A (m1_subset_1(A,u1_struct_0(k3_gr_cy_1)) -> k4_xcmplx_0(k6_gr_cy_1(A)) = k3_group_1(k3_gr_cy_1,A))) # label(t37_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11015 (all A (m2_finseq_1(A,k4_numbers) -> k2_gr_cy_1(A) = k2_finsop_1(k4_numbers,A,k44_binop_2))) # label(d3_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11016 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> -((all B (m1_subset_1(B,u1_struct_0(A)) -> B = k2_group_1(A))) & -r1_xreal_0(k9_group_1(A),np__1)))) # label(t31_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11017 $T # label(t16_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11018 $T # label(t6_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11019 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> k5_gr_cy_1(A) = g1_group_1(k1_gr_cy_1(A),k4_gr_cy_1(A))))) # label(d6_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11020 (all A (m1_subset_1(A,u1_struct_0(k3_gr_cy_1)) -> (all B (v1_int_1(B) -> (np__1 = A -> k6_group_1(k3_gr_cy_1,B,A) = B))))) # label(t39_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11021 $T # label(t19_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11022 (exists A (l1_group_1(A) & -v3_struct_0(A) & v1_group_1(A) & v2_group_1(A) & v1_gr_cy_1(A) & v4_group_1(A) & v3_group_1(A))) # label(rc1_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11023 (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)) -> -(v6_group_1(A) & v5_group_1(B,A)))))) # label(t26_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11024 (all A (v1_funct_2(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & m2_relset_1(A,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers) & v1_funct_1(A) -> ((all B (m1_subset_1(B,k4_numbers) -> (all C (m1_subset_1(C,k4_numbers) -> k1_binop_1(k33_binop_2,B,C) = k2_binop_1(k4_numbers,k4_numbers,k4_numbers,A,B,C))))) <-> k44_binop_2 = A))) # label(d2_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11025 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> v1_gr_cy_1(k5_group_2(A)))) # label(t40_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11026 $T # label(t9_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11027 (all A (m1_subset_1(A,k4_numbers) -> (A = np__0 -> r3_binop_1(k4_numbers,A,k44_binop_2)))) # label(t15_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11028 (all A (v4_ordinal2(A) -> -v3_struct_0(k5_gr_cy_1(A)) & v1_group_1(k5_gr_cy_1(A)) & v3_group_1(k5_gr_cy_1(A)) & l1_group_1(k5_gr_cy_1(A)) & v4_group_1(k5_gr_cy_1(A)))) # label(dt_k5_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11029 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m2_finseq_1(C,k4_numbers) -> k6_group_1(A,k2_gr_cy_1(C),B) = k3_group_4(A,k4_group_4(A,C,k1_finsop_1(u1_struct_0(A),k3_finseq_1(C),B))))))))) # label(t24_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11030 (all A (m1_subset_1(A,u1_struct_0(k3_gr_cy_1)) -> v1_int_1(k6_gr_cy_1(A)))) # label(dt_k6_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11031 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v4_group_1(A) & v1_gr_cy_1(A) & v3_group_1(A) -> v4_group_1(A) & v7_group_1(A) & v3_group_1(A) & v2_group_1(A) & -v3_struct_0(A)))) # label(cc1_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11032 (all A (v1_int_1(A) -> k7_gr_cy_1(A) = A)) # label(d8_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11033 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v6_group_1(A) -> k6_group_1(A,k9_group_1(A),B) = k2_group_1(A)))))) # label(t29_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11034 $T # label(t17_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11035 (all A (m1_subset_1(A,k4_numbers) -> (all B (m2_finseq_1(B,k4_numbers) -> k2_gr_cy_1(k8_finseq_1(k4_numbers,B,k12_finseq_1(k4_numbers,A))) = k2_xcmplx_0(k2_gr_cy_1(B),k2_group_4(A)))))) # label(t20_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11036 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> ((exists B ((all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (C = k6_group_1(A,D,B) & v1_int_1(D))))) & m1_subset_1(B,u1_struct_0(A)))) <-> v4_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & v3_group_1(A) & -v3_struct_0(A)))) # label(t41_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11037 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v6_group_1(A) -> r1_nat_1(k7_group_1(A,B),k9_group_1(A))))))) # label(t28_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11038 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (v6_group_1(B) -> k3_group_1(B,k6_group_1(B,A,C)) = k6_group_1(B,k10_binop_2(k9_group_1(B),k4_nat_1(A,k9_group_1(B))),C)))))))) # label(t30_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11039 (all A (v4_ordinal2(A) -> m1_subset_1(k1_gr_cy_1(A),k1_zfmisc_1(k5_numbers)) & -v1_xboole_0(k1_gr_cy_1(A)))) # label(dt_k1_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11040 $T # label(t18_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11041 (all A (v1_int_1(A) -> m1_subset_1(k7_gr_cy_1(A),u1_struct_0(k3_gr_cy_1)))) # label(dt_k7_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11042 $T # label(t2_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11043 (all A (m1_subset_1(A,u1_struct_0(k3_gr_cy_1)) -> A = k6_gr_cy_1(A))) # label(d7_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11044 (all A (v1_int_1(A) -> (all B (v1_int_1(B) -> k2_xcmplx_0(A,B) = k1_binop_1(k44_binop_2,A,B))))) # label(t14_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11045 (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_rlvect_1(k5_group_4(A,k1_struct_0(A,C)),B) <-> (exists D (k6_group_1(A,D,C) = B & v1_int_1(D)))))))))) # label(t25_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11046 $T # label(t11_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11047 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (v6_group_1(A) -> (-v3_struct_0(A) & v1_gr_cy_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) <-> (exists B ((all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (m2_subset_1(D,k1_numbers,k5_numbers) & k6_group_1(A,D,B) = C)))) & m1_subset_1(B,u1_struct_0(A)))))))) # label(t42_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11048 (all A (v4_ordinal2(A) -> v1_funct_1(k4_gr_cy_1(A)) & v1_funct_2(k4_gr_cy_1(A),k2_zfmisc_1(k1_gr_cy_1(A),k1_gr_cy_1(A)),k1_gr_cy_1(A)) & m2_relset_1(k4_gr_cy_1(A),k2_zfmisc_1(k1_gr_cy_1(A),k1_gr_cy_1(A)),k1_gr_cy_1(A)))) # label(dt_k4_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11049 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) -> (v6_group_1(A) -> (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & v4_group_1(A) <-> (exists B (m1_subset_1(B,u1_struct_0(A)) & k9_group_1(A) = k7_group_1(A,B))))))) # label(t43_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11050 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> -((all B (m1_subset_1(B,u1_struct_0(k5_gr_cy_1(A))) -> (exists C (m1_subset_1(C,u1_struct_0(k5_gr_cy_1(A))) & (all D (v1_int_1(D) -> C != k6_group_1(k5_gr_cy_1(A),D,B))))))) & -r1_xreal_0(A,np__0)))) # label(t46_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11051 $T # label(t7_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11052 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & v1_group_1(B) & -v3_struct_0(B) -> (k9_group_1(B) = A & v1_int_2(A) & v6_group_1(B) -> v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & v1_gr_cy_1(B) & -v3_struct_0(B)))))) # label(t45_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11053 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> r2_hidden(np__0,k1_gr_cy_1(A))))) # label(t12_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11054 (all A (v4_ordinal2(A) -> (-r1_xreal_0(A,np__0) -> a_1_0_gr_cy_1(A) = k1_gr_cy_1(A)))) # label(d1_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11055 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (l1_group_1(B) & v4_group_1(B) & v3_group_1(B) & v1_group_1(B) & -v3_struct_0(B) -> (v6_group_1(B) & v1_int_2(A) & A = k9_group_1(B) -> (all C (v1_group_1(C) & m1_group_2(C,B) -> C = B | r1_group_2(B,C,k5_group_2(B))))))))) # label(t32_gr_cy_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11056 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)) -> (m2_cat_1(C,A,B) <-> (all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,D)) = k10_cat_1(B,E) & m1_subset_1(E,u1_cat_1(B)))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k3_cat_1(A,D) = k2_cat_1(A,E) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k4_cat_1(A,D,E)) = k4_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E))))))) & (all D (m1_subset_1(D,u2_cat_1(A)) -> k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k3_cat_1(A,D))) = k10_cat_1(B,k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D))) & k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k10_cat_1(A,k2_cat_1(A,D))) = k10_cat_1(B,k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)))))))))))) # label(d1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11057 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B all C r1_isocat_1(k11_cat_2(k8_cat_1(B,C),A),A)))) # label(t21_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11058 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,D,E) -> (all F (m2_nattra_1(F,A,B,D,E) -> (all G (m2_cat_1(G,B,C) -> (all H (m1_subset_1(H,u1_cat_1(A)) -> k3_nattra_1(B,C,G,k13_cat_1(A,B,D,H),k13_cat_1(A,B,E,H),k5_nattra_1(A,B,D,E,F,H)) = k5_nattra_1(A,C,k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,G),k6_isocat_1(A,B,C,D,E,F,G),H)))))))))))))))))) # label(t28_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11059 (all A all B (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> (exists C m1_isocat_1(C,A,B)))) # label(existence_m1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11060 (all A all B all C all D all E (v2_cat_1(A) & v2_cat_1(B) & v2_cat_1(C) & m2_cat_1(E,B,C) & m2_cat_1(D,A,B) & l1_cat_1(C) & l1_cat_1(B) & l1_cat_1(A) -> m2_cat_1(k2_isocat_1(A,B,C,D,E),A,C))) # label(dt_k2_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11061 (all A all B all C all D all E all F all G (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,B) & m2_nattra_1(F,A,B,D,E) & m2_cat_1(G,B,C) & l1_cat_1(C) & v2_cat_1(A) -> m2_nattra_1(k6_isocat_1(A,B,C,D,E,F,G),A,C,k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,G)))) # label(dt_k6_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11062 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,B,C) -> (all E (m2_cat_1(E,B,C) -> (r1_nattra_1(B,C,D,E) -> (all F (m2_cat_1(F,A,B) -> (all G (m1_nattra_1(G,B,C,D,E) -> k7_funct_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),k12_cat_1(A,B,F),G) = k5_isocat_1(A,B,C,D,E,F,G)))))))))))))))) # label(d6_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11063 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v2_cat_1(D) & l1_cat_1(D) -> (all E (m2_cat_1(E,A,C) -> (all F (m2_cat_1(F,C,D) -> (all G (m2_cat_1(G,C,D) -> (all H (m2_cat_1(H,D,B) -> (all I (m2_nattra_1(I,C,D,F,G) -> (r2_nattra_1(C,D,F,G) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k7_isocat_1(A,C,B,k2_isocat_1(C,D,B,F,H),k2_isocat_1(C,D,B,G,H),E,k6_isocat_1(C,D,B,F,G,I,H)),k6_isocat_1(A,D,B,k2_isocat_1(A,C,D,E,F),k2_isocat_1(A,C,D,E,G),k7_isocat_1(A,C,D,F,G,E,I),H))))))))))))))))))))) # label(t35_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11064 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> k2_relat_1(k17_cat_2(B,A)) = u2_cat_1(A) & u2_cat_1(A) = k2_relat_1(k16_cat_2(A,B)))))) # label(t2_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11065 (all A all B (l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> r2_isocat_1(A,A))) # label(reflexivity_r2_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11066 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_isocat_1(C,A,B) -> m2_cat_1(C,A,B))))) # label(dt_m1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11067 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (all E (m2_nattra_1(E,B,A,C,D) -> (r2_nattra_1(B,A,C,D) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),k8_isocat_1(B,B,A,k1_isocat_1(B),k1_isocat_1(B),C,D,k7_nattra_1(B,B,k1_isocat_1(B)),E),E)))))))))))) # label(t43_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11068 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (v2_cat_1(D) & l1_cat_1(D) -> (all E (m2_cat_1(E,C,D) -> (all F (m2_cat_1(F,C,D) -> (all G (m2_cat_1(G,D,A) -> (all H (m2_cat_1(H,A,B) -> (all I (m2_nattra_1(I,C,D,E,F) -> (r2_nattra_1(C,D,E,F) -> r4_nattra_1(u1_cat_1(C),u2_cat_1(B),u1_cat_1(C),u2_cat_1(B),k6_isocat_1(C,D,B,E,F,I,k2_isocat_1(D,A,B,G,H)),k6_isocat_1(C,A,B,k2_isocat_1(C,D,A,E,G),k2_isocat_1(C,D,A,F,G),k6_isocat_1(C,D,A,E,F,I,G),H))))))))))))))))))))) # label(t36_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11069 (all A all B all C all D all E (l1_cat_1(A) & v2_cat_1(B) & v2_cat_1(C) & m2_cat_1(E,B,C) & m2_cat_1(D,A,B) & l1_cat_1(C) & l1_cat_1(B) & v2_cat_1(A) -> k5_relat_1(D,E) = k2_isocat_1(A,B,C,D,E))) # label(redefinition_k2_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11070 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> r1_isocat_1(A,A))) # label(reflexivity_r1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11071 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (r2_nattra_1(B,A,C,D) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> k1_xboole_0 != k6_cat_1(A,k13_cat_1(B,A,C,E),k13_cat_1(B,A,D,E))))))))))))) # label(t30_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11072 (all A (v2_cat_1(A) & l1_cat_1(A) -> m2_cat_1(k1_isocat_1(A),A,A))) # label(dt_k1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11073 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> ((exists C ((exists D (r3_nattra_1(B,B,k2_isocat_1(B,A,B,D,C),k1_isocat_1(B)) & r3_nattra_1(A,A,k2_isocat_1(A,B,A,C,D),k1_isocat_1(A)) & m2_cat_1(D,B,A))) & m2_cat_1(C,A,B))) <-> r2_isocat_1(A,B)))))) # label(d10_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11074 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_nattra_1(H,A,B,D,E) -> (all I (m2_nattra_1(I,B,C,F,G) -> (r2_nattra_1(B,C,F,G) & r2_nattra_1(A,B,D,E) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k8_isocat_1(A,B,C,D,E,F,G,H,I),k8_nattra_1(A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,G),k7_isocat_1(A,B,C,F,G,D,I),k6_isocat_1(A,B,C,D,E,H,G)))))))))))))))))))))) # label(t41_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11075 (all A (v2_cat_1(A) & l1_cat_1(A) -> m1_isocat_1(k1_isocat_1(A),A,A))) # label(t54_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11076 $T # label(t18_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11077 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,B,A) -> (all E (m2_cat_1(E,A,A) -> (r3_nattra_1(A,A,E,k1_isocat_1(A)) -> r3_nattra_1(A,B,k2_isocat_1(A,A,B,E,C),C) & r3_nattra_1(B,A,k2_isocat_1(B,A,A,D,E),D)))))))))))) # label(t49_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11078 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (v2_cat_1(D) & l1_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,C,D) -> (all H (m2_cat_1(H,C,D) -> (all I (m2_nattra_1(I,C,D,G,H) -> (r2_nattra_1(C,D,G,H) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(D),u1_cat_1(A),u2_cat_1(D),k7_isocat_1(A,B,D,k2_isocat_1(B,C,D,F,G),k2_isocat_1(B,C,D,F,H),E,k7_isocat_1(B,C,D,G,H,F,I)),k7_isocat_1(A,C,D,G,H,k2_isocat_1(A,B,C,E,F),I))))))))))))))))))))) # label(t34_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11079 (all A all B all C all D all E all F all G (v2_cat_1(A) & m2_cat_1(E,B,C) & m2_cat_1(F,A,B) & m2_nattra_1(G,B,C,D,E) & m2_cat_1(D,B,C) & l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> m2_nattra_1(k7_isocat_1(A,B,C,D,E,F,G),A,C,k2_isocat_1(A,B,C,F,D),k2_isocat_1(A,B,C,F,E)))) # label(dt_k7_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11080 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> r2_hidden(k5_nattra_1(A,B,C,D,E,F),k6_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F)))))))))))))))) # label(t7_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11081 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_nattra_1(G,B,C,E,F) -> (r2_nattra_1(B,C,E,F) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k7_isocat_1(A,B,C,E,F,D,G),k8_isocat_1(A,B,C,D,D,E,F,k7_nattra_1(A,B,D),G))))))))))))))))) # label(t45_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11082 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_cat_1(H,B,C) -> (all I (m2_cat_1(I,B,C) -> (all J (m2_nattra_1(J,A,B,D,E) -> (all K (m2_nattra_1(K,A,B,E,F) -> (all L (m2_nattra_1(L,B,C,G,H) -> (all M (m2_nattra_1(M,B,C,H,I) -> (r2_nattra_1(A,B,D,E) & r2_nattra_1(B,C,H,I) & r2_nattra_1(B,C,G,H) & r2_nattra_1(A,B,E,F) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k8_isocat_1(A,B,C,D,F,G,I,k8_nattra_1(A,B,D,E,F,J,K),k8_nattra_1(B,C,G,H,I,L,M)),k8_nattra_1(A,C,k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,H),k2_isocat_1(A,B,C,F,I),k8_isocat_1(A,B,C,D,E,G,H,J,L),k8_isocat_1(A,B,C,E,F,H,I,K,M)))))))))))))))))))))))))))))) # label(t47_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11083 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (v8_cat_1(C,A,B) -> r4_nattra_1(u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),k3_isocat_1(B,A,k3_isocat_1(A,B,C)),C)))))))) # label(t15_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11084 (all A (v2_cat_1(A) & l1_cat_1(A) -> k15_cat_1(A) = k1_isocat_1(A))) # label(redefinition_k1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11085 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (v2_funct_1(C) -> v2_funct_1(k12_cat_1(A,B,C))))))))) # label(t12_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11086 (all A all B (l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> (r2_isocat_1(A,B) -> r2_isocat_1(B,A)))) # label(symmetry_r2_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11087 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v2_cat_1(D) & l1_cat_1(D) -> (r1_isocat_1(A,B) & r1_isocat_1(C,D) -> r1_isocat_1(k11_cat_2(A,C),k11_cat_2(B,D))))))))))) # label(t24_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11088 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> r1_isocat_1(k11_cat_2(k11_cat_2(A,B),C),k11_cat_2(A,k11_cat_2(B,C))))))))) # label(t23_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11089 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (r2_isocat_1(A,B) -> (all C (m1_isocat_1(C,A,B) -> v9_cat_1(C,A,B) & v10_cat_1(C,A,B) & (all D (m1_subset_1(D,u1_cat_1(B)) -> (exists E (m1_subset_1(E,u1_cat_1(A)) & r1_cat_1(B,D,k13_cat_1(A,B,C,E))))))))))))) # label(t58_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11090 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v2_cat_1(D) & l1_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,C,D) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_cat_1(H,B,C) -> (r3_nattra_1(B,C,G,H) -> r3_nattra_1(A,C,k2_isocat_1(A,B,C,E,G),k2_isocat_1(A,B,C,E,H)) & r3_nattra_1(B,D,k2_isocat_1(B,C,D,G,F),k2_isocat_1(B,C,D,H,F))))))))))))))))))) # label(t48_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11091 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (r2_isocat_1(A,B) & r2_isocat_1(B,C) -> r2_isocat_1(A,C)))))))) # label(t53_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11092 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,D,E) -> (all F (m2_nattra_1(F,A,B,D,E) -> (all G (m2_cat_1(G,B,C) -> k4_isocat_1(A,B,C,D,E,F,G) = k6_isocat_1(A,B,C,D,E,F,G)))))))))))))))) # label(d7_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11093 $T # label(t5_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11094 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> ((exists C (m2_cat_1(C,A,B) & v8_cat_1(C,A,B))) <-> r1_isocat_1(A,B)))))) # label(d4_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11095 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_nattra_1(H,A,B,D,E) -> (all I (m2_nattra_1(I,B,C,F,G) -> k8_nattra_1(A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,E,F),k2_isocat_1(A,B,C,E,G),k6_isocat_1(A,B,C,D,E,H,F),k7_isocat_1(A,B,C,F,G,E,I)) = k8_isocat_1(A,B,C,D,E,F,G,H,I))))))))))))))))))) # label(d9_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.64/188.08 11096 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (v8_cat_1(C,B,A) -> r4_nattra_1(u2_cat_1(B),u2_cat_1(B),u2_cat_1(B),u2_cat_1(B),k2_isocat_1(B,A,B,C,k3_isocat_1(B,A,C)),k1_isocat_1(B)) & r4_nattra_1(u2_cat_1(A),u2_cat_1(A),u2_cat_1(A),u2_cat_1(A),k2_isocat_1(A,B,A,k3_isocat_1(B,A,C),C),k1_isocat_1(A))))))))) # label(t16_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11097 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (v8_cat_1(C,A,B) -> v8_cat_1(k3_isocat_1(A,B,C),B,A)))))))) # label(t13_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11098 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (v8_cat_1(C,A,B) -> k2_funct_1(C) = k3_isocat_1(A,B,C)))))))) # label(d2_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11099 $T # label(t52_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11100 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,D,E) -> (all F (m2_cat_1(F,C,A) -> (all G (m2_nattra_1(G,A,B,D,E) -> (all H (m1_subset_1(H,u1_cat_1(C)) -> k5_nattra_1(C,B,k2_isocat_1(C,A,B,F,D),k2_isocat_1(C,A,B,F,E),k7_isocat_1(C,A,B,D,E,F,G),H) = k5_nattra_1(A,B,D,E,G,k13_cat_1(C,A,F,H))))))))))))))))))) # label(t29_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11101 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (v2_cat_1(D) & l1_cat_1(D) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_cat_1(H,B,C) -> (all I (m2_cat_1(I,C,D) -> (all J (m2_cat_1(J,C,D) -> (all K (m2_nattra_1(K,A,B,E,F) -> (all L (m2_nattra_1(L,B,C,G,H) -> (all M (m2_nattra_1(M,C,D,I,J) -> (r2_nattra_1(A,B,E,F) & r2_nattra_1(C,D,I,J) & r2_nattra_1(B,C,G,H) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(D),u1_cat_1(A),u2_cat_1(D),k8_isocat_1(A,C,D,k2_isocat_1(A,B,C,E,G),k2_isocat_1(A,B,C,F,H),I,J,k8_isocat_1(A,B,C,E,F,G,H,K,L),M),k8_isocat_1(A,B,D,E,F,k2_isocat_1(B,C,D,G,I),k2_isocat_1(B,C,D,H,J),K,k8_isocat_1(B,C,D,G,H,I,J,L,M)))))))))))))))))))))))))))))) # label(t44_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11102 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,B,A) -> r4_nattra_1(u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),k14_cat_1(B,A,A,D,k15_cat_1(A)),D) & r4_nattra_1(u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),k14_cat_1(A,A,B,k15_cat_1(A),C),C))))))))) # label(t4_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11103 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,B,C) -> (r2_nattra_1(B,C,F,G) & r2_nattra_1(A,B,D,E) -> r2_nattra_1(A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,E,G))))))))))))))))) # label(t27_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11104 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (r2_isocat_1(A,B) -> (all C (m2_cat_1(C,A,B) -> (m1_isocat_1(C,A,B) <-> (exists D (r3_nattra_1(B,B,k2_isocat_1(B,A,B,D,C),k1_isocat_1(B)) & r3_nattra_1(A,A,k2_isocat_1(A,B,A,C,D),k1_isocat_1(A)) & m2_cat_1(D,B,A))))))))))) # label(d11_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11105 (all A all B all C all D all E all F all G (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m1_nattra_1(F,A,B,D,E) & m2_cat_1(G,B,C) & m2_cat_1(E,A,B) & m2_cat_1(D,A,B) -> m1_nattra_1(k4_isocat_1(A,B,C,D,E,F,G),A,C,k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,G)))) # label(dt_k4_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11106 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & m2_cat_1(C,A,B) & l1_cat_1(B) -> m2_cat_1(k3_isocat_1(A,B,C),B,A))) # label(dt_k3_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11107 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (u2_cat_1(B) = k2_relat_1(C) & v2_funct_1(C) <-> v8_cat_1(C,A,B)))))))) # label(d3_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11108 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (r1_isocat_1(A,B) & r1_isocat_1(B,C) -> r1_isocat_1(A,C)))))))) # label(t20_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11109 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (r2_nattra_1(B,A,C,D) -> (all E (m2_nattra_1(E,B,A,C,D) -> (all F (m2_nattra_1(F,B,A,C,D) -> ((all G (m1_subset_1(G,u1_cat_1(B)) -> k5_nattra_1(B,A,C,D,F,G) = k5_nattra_1(B,A,C,D,E,G))) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),E,F))))))))))))))) # label(t31_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11110 (all A all B all C all D all E all F all G (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(D,B,C) & m2_cat_1(F,A,B) & m1_nattra_1(G,B,C,D,E) & m2_cat_1(E,B,C) & l1_cat_1(C) & v2_cat_1(C) -> m1_nattra_1(k5_isocat_1(A,B,C,D,E,F,G),A,C,k2_isocat_1(A,B,C,F,D),k2_isocat_1(A,B,C,F,E)))) # label(dt_k5_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11111 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> r1_isocat_1(k11_cat_2(A,B),k11_cat_2(B,A)))))) # label(t22_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11112 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,B,C) -> (all H (m2_nattra_1(H,B,C,E,F) -> (all I (m2_nattra_1(I,B,C,F,G) -> (r2_nattra_1(B,C,F,G) & r2_nattra_1(B,C,E,F) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k7_isocat_1(A,B,C,E,G,D,k8_nattra_1(B,C,E,F,G,H,I)),k8_nattra_1(A,C,k2_isocat_1(A,B,C,D,E),k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,D,G),k7_isocat_1(A,B,C,E,F,D,H),k7_isocat_1(A,B,C,F,G,D,I)))))))))))))))))))))) # label(t33_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11113 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r1_nattra_1(A,B,D,E) -> (all F (m1_nattra_1(F,A,B,D,E) -> (all G (m2_cat_1(G,B,C) -> k7_funct_2(u1_cat_1(A),u2_cat_1(B),u2_cat_1(C),F,G) = k4_isocat_1(A,B,C,D,E,F,G)))))))))))))))) # label(d5_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11114 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (v8_cat_1(C,A,B) -> k12_cat_1(B,A,k3_isocat_1(A,B,C)) = k2_funct_1(k12_cat_1(A,B,C))))))))) # label(t14_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11115 $T # label(t19_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11116 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,B,A) -> (r3_nattra_1(A,A,k2_isocat_1(A,B,A,C,D),k1_isocat_1(A)) -> v10_cat_1(C,A,B)))))))))) # label(t57_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11117 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,B,C) -> (all E (m2_cat_1(E,B,C) -> (r2_nattra_1(B,C,D,E) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_nattra_1(G,B,C,D,E) -> k7_isocat_1(A,B,C,D,E,F,G) = k5_isocat_1(A,B,C,D,E,F,G)))))))))))))))) # label(d8_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11118 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (r2_nattra_1(A,B,C,D) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k6_isocat_1(A,B,B,C,D,E,k1_isocat_1(B)),E)))))))))))) # label(t40_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11119 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,B,C) -> (r1_nattra_1(A,B,D,E) & r1_nattra_1(B,C,F,G) -> r1_nattra_1(A,C,k14_cat_1(A,B,C,D,F),k14_cat_1(A,B,C,E,G))))))))))))))))) # label(t8_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11120 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,B,C) -> (all E (m2_cat_1(E,B,C) -> (all F (m2_cat_1(F,B,C) -> (all G (m2_cat_1(G,C,A) -> (all H (m2_nattra_1(H,B,C,D,E) -> (all I (m2_nattra_1(I,B,C,E,F) -> (r2_nattra_1(B,C,D,E) & r2_nattra_1(B,C,E,F) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),k6_isocat_1(B,C,A,D,F,k8_nattra_1(B,C,D,E,F,H,I),G),k8_nattra_1(B,A,k2_isocat_1(B,C,A,D,G),k2_isocat_1(B,C,A,E,G),k2_isocat_1(B,C,A,F,G),k6_isocat_1(B,C,A,D,E,H,G),k6_isocat_1(B,C,A,E,F,I,G)))))))))))))))))))))) # label(t32_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11121 $T # label(t51_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11122 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (all E (m2_nattra_1(E,B,A,C,D) -> (r2_nattra_1(B,A,C,D) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),k7_isocat_1(B,B,A,C,D,k1_isocat_1(B),E),E)))))))))))) # label(t39_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11123 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r1_nattra_1(A,B,D,E) -> (all F (m2_cat_1(F,C,A) -> (all G (m1_nattra_1(G,A,B,D,E) -> (all H (m1_subset_1(H,u1_cat_1(C)) -> k5_nattra_1(C,B,k2_isocat_1(C,A,B,F,D),k2_isocat_1(C,A,B,F,E),k5_isocat_1(C,A,B,D,E,F,G),H) = k5_nattra_1(A,B,D,E,G,k13_cat_1(C,A,F,H))))))))))))))))))) # label(t25_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11124 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (v8_cat_1(C,B,A) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (exists E (m1_subset_1(E,u1_cat_1(B)) & k13_cat_1(B,A,C,E) = D))))))))))) # label(t11_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11125 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> (v8_cat_1(E,B,C) & v8_cat_1(D,A,B) -> v8_cat_1(k2_isocat_1(A,B,C,D,E),A,C)))))))))))) # label(t17_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11126 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r1_nattra_1(A,B,D,E) -> (all F (m1_nattra_1(F,A,B,D,E) -> (all G (m2_cat_1(G,B,C) -> (all H (m1_subset_1(H,u1_cat_1(A)) -> k3_nattra_1(B,C,G,k13_cat_1(A,B,D,H),k13_cat_1(A,B,E,H),k5_nattra_1(A,B,D,E,F,H)) = k5_nattra_1(A,C,k2_isocat_1(A,B,C,D,G),k2_isocat_1(A,B,C,E,G),k4_isocat_1(A,B,C,D,E,F,G),H)))))))))))))))))) # label(t26_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11127 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,B,C) -> (all E (m2_cat_1(E,B,C) -> (all F (m2_cat_1(F,C,A) -> (all G (m2_nattra_1(G,B,C,D,E) -> (r2_nattra_1(B,C,D,E) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(A),u1_cat_1(B),u2_cat_1(A),k6_isocat_1(B,C,A,D,E,G,F),k8_isocat_1(B,C,A,D,E,F,F,G,k7_nattra_1(C,A,F)))))))))))))))))) # label(t46_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11128 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> (v5_cat_1(D,B) -> v5_cat_1(k8_funct_2(u2_cat_1(B),u2_cat_1(A),C,D),A)))))))))) # label(t3_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.08 11129 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (v1_nattra_1(E,A,B,C,D) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> r1_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F)))))))))))))))) # label(t9_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11130 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k7_isocat_1(A,B,C,E,E,D,k7_nattra_1(B,C,E)),k7_nattra_1(A,C,k2_isocat_1(A,B,C,D,E))))))))))))) # label(t37_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11131 $T # label(t6_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11132 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (r2_isocat_1(B,C) & r2_isocat_1(A,B) -> (all D (m1_isocat_1(D,A,B) -> (all E (m1_isocat_1(E,B,C) -> m1_isocat_1(k2_isocat_1(A,B,C,D,E),A,C)))))))))))) # label(t55_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11133 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> (r2_nattra_1(A,B,C,D) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k8_isocat_1(A,B,B,C,D,k1_isocat_1(B),k1_isocat_1(B),E,k7_nattra_1(B,B,k1_isocat_1(B))),E)))))))))))) # label(t42_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11134 (all A all B (v2_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> (r1_isocat_1(A,B) -> r1_isocat_1(B,A)))) # label(symmetry_r1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11135 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (r2_isocat_1(A,B) -> (all C (m1_isocat_1(C,A,B) -> (exists D (r3_nattra_1(A,A,k2_isocat_1(A,B,A,C,D),k1_isocat_1(A)) & r3_nattra_1(B,B,k2_isocat_1(B,A,B,D,C),k1_isocat_1(B)) & m1_isocat_1(D,B,A)))))))))) # label(t56_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11136 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (v8_cat_1(C,B,A) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (exists E (k8_funct_2(u2_cat_1(B),u2_cat_1(A),C,E) = D & m1_subset_1(E,u2_cat_1(B))))))))))))) # label(t10_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11137 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (r1_isocat_1(A,B) -> r2_isocat_1(A,B)))))) # label(t50_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11138 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,B,C) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k6_isocat_1(A,B,C,D,D,k7_nattra_1(A,B,D),E),k7_nattra_1(A,C,k2_isocat_1(A,B,C,D,E))))))))))))) # label(t38_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11139 (all A all B all C all D all E all F all G all H all I (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_nattra_1(I,B,C,F,G) & m2_nattra_1(H,A,B,D,E) & m2_cat_1(G,B,C) & m2_cat_1(F,B,C) & m2_cat_1(E,A,B) & v2_cat_1(B) & v2_cat_1(A) -> m2_nattra_1(k8_isocat_1(A,B,C,D,E,F,G,H,I),A,C,k2_isocat_1(A,B,C,D,F),k2_isocat_1(A,B,C,E,G)))) # label(dt_k8_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11140 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (v2_funct_1(B) & v2_funct_1(A) -> v2_funct_1(k15_funct_3(A,B))))))) # label(t1_isocat_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11141 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v1_borsuk_1(B,A) -> (all C (m1_pre_topc(C,A) & v1_borsuk_1(C,A) & -v3_struct_0(C) -> (-r1_tsep_1(A,B,C) -> m1_pre_topc(k2_tsep_1(A,B,C),A) & v1_borsuk_1(k2_tsep_1(A,B,C),A)))))))) # label(t32_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11142 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,C) <-> (exists D ((exists E (r2_tsep_1(A,D,E) & r1_tarski(B,D) & r1_tarski(C,E) & r1_xboole_0(k5_subset_1(u1_struct_0(A),D,E),k4_subset_1(u1_struct_0(A),B,C)) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))))))))))) # label(t67_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11143 (all A (v1_pre_topc(A) & l1_pre_topc(A) -> k3_pre_topc(A,k2_pre_topc(A)) = A)) # label(t3_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11144 $T # label(t50_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11145 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> (all E (-v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(D,A) & r1_tarski(k5_subset_1(u1_struct_0(A),D,k4_subset_1(u1_struct_0(A),B,C)),B) & -(-r1_tarski(k4_subset_1(u1_struct_0(A),B,C),k4_subset_1(u1_struct_0(A),D,E)) & (all F (-v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(F,A) & r1_tarski(k5_subset_1(u1_struct_0(A),F,k4_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),B,C)) & u1_struct_0(A) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F))))) & r1_tarski(k5_subset_1(u1_struct_0(A),E,k4_subset_1(u1_struct_0(A),B,C)),C) & v4_pre_topc(E,A)))))) & -r1_tarski(C,B) & -r1_tarski(B,C) & r2_tsep_1(A,B,C)))))))) # label(t60_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11146 (all A all B all C (-v3_struct_0(A) & -v3_struct_0(B) & -v3_struct_0(C) & m1_pre_topc(C,A) & m1_pre_topc(B,A) & l1_pre_topc(A) -> v1_pre_topc(k1_tsep_1(A,B,C)) & m1_pre_topc(k1_tsep_1(A,B,C),A) & -v3_struct_0(k1_tsep_1(A,B,C)))) # label(dt_k1_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11147 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (r3_tsep_1(A,B,C) <-> (exists D (-v3_struct_0(D) & v1_borsuk_1(D,A) & m1_pre_topc(D,A) & (exists E (-v3_struct_0(E) & v1_borsuk_1(E,A) & m1_pre_topc(E,A) & m1_pre_topc(B,D) & m1_pre_topc(C,E) & (r1_tsep_1(A,k2_tsep_1(A,D,E),k1_tsep_1(A,B,C)) | r1_tsep_1(A,D,E))))))))))))) # label(t81_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11148 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_borsuk_1(B,A) -> (all C (m1_pre_topc(C,B) & v1_borsuk_1(C,B) -> m1_pre_topc(C,A) & v1_borsuk_1(C,A))))))) # label(t13_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11149 $T # label(t37_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11150 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (k4_subset_1(u1_struct_0(A),B,C) = u1_struct_0(A) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & (exists E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & (exists F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & k4_subset_1(u1_struct_0(A),B,C) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) & r1_tarski(E,C) & r1_tarski(F,k5_subset_1(u1_struct_0(A),B,C)) & v4_pre_topc(D,A) & v3_pre_topc(F,A) & v4_pre_topc(E,A) & r1_tarski(D,B))))))) <-> r2_tsep_1(A,B,C))))))))) # label(t61_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11151 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,C) & v3_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A) -> v3_pre_topc(C,A) & v3_pre_topc(B,A)))))))) # label(t42_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11152 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_1(A,B,C) <-> (exists D ((exists E ((exists F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(k5_subset_1(u1_struct_0(A),E,k4_subset_1(u1_struct_0(A),B,C)),C) & r1_tarski(k5_subset_1(u1_struct_0(A),F,k4_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),B,C)) & v3_pre_topc(E,A) & v4_pre_topc(F,A) & v3_pre_topc(D,A) & k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) = u1_struct_0(A) & r1_tarski(k5_subset_1(u1_struct_0(A),D,k4_subset_1(u1_struct_0(A),B,C)),B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))))))))))) # label(t63_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11153 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v1_borsuk_1(B,A) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & v1_borsuk_1(C,A) -> r4_tsep_1(A,B,C))))))) # label(t87_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11154 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_tsep_1(A,B,C) & -r1_tarski(B,C) & -r1_tarski(C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(D) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(E) -> -(v3_pre_topc(E,A) & r1_tarski(k5_subset_1(u1_struct_0(A),D,k4_subset_1(u1_struct_0(A),B,C)),B) & r1_tarski(k5_subset_1(u1_struct_0(A),E,k4_subset_1(u1_struct_0(A),B,C)),C) & -((all F (-v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(F,A) & r1_tarski(k5_subset_1(u1_struct_0(A),F,k4_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),B,C)) & k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) = u1_struct_0(A)))) & -r1_tarski(k4_subset_1(u1_struct_0(A),B,C),k4_subset_1(u1_struct_0(A),D,E))) & v3_pre_topc(D,A))))))))))))) # label(t64_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11155 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (A = k1_tsep_1(A,B,C) -> (-((all D (m1_pre_topc(D,A) & v1_tsep_1(D,A) & -v3_struct_0(D) -> (all E (v1_tsep_1(E,A) & m1_pre_topc(E,A) & -v3_struct_0(E) -> -(m1_pre_topc(E,C) & -((all F (-v3_struct_0(F) & m1_pre_topc(F,A) & v1_borsuk_1(F,A) -> -(m1_pre_topc(F,k2_tsep_1(A,B,C)) & k1_tsep_1(A,k1_tsep_1(A,D,E),F) = A))) & k1_tsep_1(A,D,E) != A) & m1_pre_topc(D,B)))))) & -m1_pre_topc(C,B) & -m1_pre_topc(B,C)) <-> r4_tsep_1(A,B,C)) | r1_tsep_1(A,B,C)))))))) # label(t97_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11156 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> (v1_borsuk_1(B,A) & m1_pre_topc(B,A) <-> v4_pre_topc(C,A))))))))) # label(t11_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11157 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (-v3_struct_0(D) & m1_pre_topc(D,A) -> -(-r1_tsep_1(A,B,D) & -(k1_tsep_1(A,k2_tsep_1(A,D,B),k2_tsep_1(A,D,C)) = k2_tsep_1(A,D,k1_tsep_1(A,B,C)) & k1_tsep_1(A,k2_tsep_1(A,B,D),k2_tsep_1(A,C,D)) = k2_tsep_1(A,k1_tsep_1(A,B,C),D)) & -r1_tsep_1(A,D,C)))))))))) # label(t35_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11158 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,u1_struct_0(B)) & r1_tarski(D,C) & E = D & v3_pre_topc(C,A) -> (v3_pre_topc(E,B) <-> v3_pre_topc(D,A))))))))))))) # label(t9_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11159 $T # label(t26_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11160 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (r1_xboole_0(u1_struct_0(B),u1_struct_0(C)) <-> r1_tsep_1(A,B,C)))))))) # label(d3_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11161 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,C) -> r1_connsp_1(A,k5_subset_1(u1_struct_0(A),B,D),k5_subset_1(u1_struct_0(A),C,D))))))))))) # label(t43_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11162 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_1(A,B,C) -> r2_tsep_1(A,k4_subset_1(u1_struct_0(A),B,D),k4_subset_1(u1_struct_0(A),C,D))))))))))) # label(t55_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11163 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (-r1_tsep_1(A,B,C) -> m1_pre_topc(k2_tsep_1(A,B,C),k1_tsep_1(A,B,C))))))))) # label(t34_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11164 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (-v3_struct_0(D) & m1_pre_topc(D,A) -> k1_tsep_1(A,k1_tsep_1(A,B,C),D) = k1_tsep_1(A,B,k1_tsep_1(A,C,D)))))))))) # label(t21_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11165 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (E = u1_struct_0(C) & u1_struct_0(B) = D -> r1_connsp_1(A,D,E)))))) <-> r3_tsep_1(A,B,C)))))))) # label(d8_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11166 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> ((exists D (-v3_struct_0(D) & v1_tsep_1(D,A) & (exists E (m1_pre_topc(E,A) & (r1_tsep_1(A,k2_tsep_1(A,D,E),k1_tsep_1(A,B,C)) | r1_tsep_1(A,D,E)) & m1_pre_topc(C,E) & m1_pre_topc(B,D) & v1_tsep_1(E,A) & -v3_struct_0(E))) & m1_pre_topc(D,A))) <-> r3_tsep_1(A,B,C)))))))) # label(t83_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11167 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (-v3_struct_0(D) & v1_pre_topc(D) & m1_pre_topc(D,A) -> (k2_xboole_0(u1_struct_0(B),u1_struct_0(C)) = u1_struct_0(D) <-> k1_tsep_1(A,B,C) = D))))))))) # label(d2_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11168 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (-v3_struct_0(D) & m1_pre_topc(D,A) -> (all E (-v3_struct_0(E) & m1_pre_topc(E,A) -> (m1_pre_topc(E,C) & r4_tsep_1(A,C,B) & m1_pre_topc(D,B) -> r4_tsep_1(A,k1_tsep_1(A,C,D),k1_tsep_1(A,B,E)) & r4_tsep_1(A,k1_tsep_1(A,D,C),k1_tsep_1(A,E,B))))))))))))) # label(t90_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11169 $T # label(t84_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11170 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (-r1_tsep_1(A,B,C) -> (r4_tsep_1(A,B,C) <-> -((all D (-v3_struct_0(D) & m1_pre_topc(D,A) & v1_tsep_1(D,A) -> (all E (m1_pre_topc(E,A) & v1_tsep_1(E,A) & -v3_struct_0(E) -> -(m1_pre_topc(k2_tsep_1(A,E,k1_tsep_1(A,B,C)),C) & -((all F (v1_borsuk_1(F,A) & m1_pre_topc(F,A) & -v3_struct_0(F) -> -(m1_pre_topc(k2_tsep_1(A,F,k1_tsep_1(A,B,C)),k2_tsep_1(A,B,C)) & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = k1_tsep_1(A,k1_tsep_1(A,D,E),F)))) & -m1_pre_topc(k1_tsep_1(A,B,C),k1_tsep_1(A,D,E))) & m1_pre_topc(k2_tsep_1(A,D,k1_tsep_1(A,B,C)),B)))))) & -m1_pre_topc(C,B) & -m1_pre_topc(B,C)))))))))) # label(t96_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11171 $T # label(t28_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11172 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (r3_tsep_1(A,B,C) <-> (exists D (-v3_struct_0(D) & (exists E (-v3_struct_0(E) & m1_pre_topc(E,A) & m1_pre_topc(B,D) & m1_pre_topc(C,E) & r1_tsep_1(A,E,B) & r1_tsep_1(A,D,C) & v1_borsuk_1(E,A))) & m1_pre_topc(D,A) & v1_borsuk_1(D,A)))))))))) # label(t80_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11173 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) & v3_pre_topc(B,A) -> (r1_xboole_0(B,C) <-> r1_connsp_1(A,B,C))))))))) # label(t41_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11174 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> -(v3_pre_topc(B,A) & (all C (-v3_struct_0(C) & v1_pre_topc(C) & m1_pre_topc(C,A) & v1_tsep_1(C,A) -> u1_struct_0(C) != B))))))) # label(t20_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11175 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (-r1_tsep_1(A,B,C) -> k2_tsep_1(A,k1_tsep_1(A,B,D),k1_tsep_1(A,C,D)) = k1_tsep_1(A,k2_tsep_1(A,B,C),D) & k2_tsep_1(A,k1_tsep_1(A,D,B),k1_tsep_1(A,D,C)) = k1_tsep_1(A,D,k2_tsep_1(A,B,C))))))))))) # label(t36_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11176 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(u1_struct_0(A) = k4_subset_1(u1_struct_0(A),B,C) & -r1_tarski(B,C) & -r1_tarski(C,B) & (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(E) -> -(v4_pre_topc(E,A) & r1_tarski(E,C) & -(k4_subset_1(u1_struct_0(A),B,C) != k4_subset_1(u1_struct_0(A),D,E) & (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(F) -> -(k4_subset_1(u1_struct_0(A),B,C) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) & r1_tarski(F,k5_subset_1(u1_struct_0(A),B,C)) & v3_pre_topc(F,A))))) & r1_tarski(D,B) & v4_pre_topc(D,A)))))) & r2_tsep_1(A,B,C)))))))) # label(t62_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11177 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (exists B (v1_pre_topc(B) & v2_pre_topc(B) & v1_tsep_1(B,A) & -v3_struct_0(B) & m1_pre_topc(B,A))))) # label(rc2_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11178 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (u1_struct_0(B) = u1_struct_0(C) -> g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(C),u1_pre_topc(C))))))))) # label(t5_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11179 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_1(A,B,C) <-> (exists D ((exists E ((exists F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(E,A) & v3_pre_topc(F,A) & v4_pre_topc(D,A) & u1_struct_0(A) = k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) & r1_tarski(k5_subset_1(u1_struct_0(A),F,k4_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),B,C)) & r1_tarski(k5_subset_1(u1_struct_0(A),E,k4_subset_1(u1_struct_0(A),B,C)),C) & r1_tarski(k5_subset_1(u1_struct_0(A),D,k4_subset_1(u1_struct_0(A),B,C)),B))) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))))))))))) # label(t59_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11180 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A) & r1_connsp_1(A,B,C) -> v4_pre_topc(C,A) & v4_pre_topc(B,A)))))))) # label(t39_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11181 (all A all B all C (-v3_struct_0(A) & l1_pre_topc(A) & -v3_struct_0(B) & m1_pre_topc(B,A) & -v3_struct_0(C) & m1_pre_topc(C,A) -> m1_pre_topc(k2_tsep_1(A,B,C),A) & v1_pre_topc(k2_tsep_1(A,B,C)) & -v3_struct_0(k2_tsep_1(A,B,C)))) # label(dt_k2_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11182 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (D = u1_struct_0(B) & u1_struct_0(C) = E -> r2_tsep_1(A,D,E)))))) <-> r4_tsep_1(A,B,C)))))))) # label(d9_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11183 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> m1_pre_topc(B,k1_tsep_1(A,B,C)))))))) # label(t22_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11184 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (m1_pre_topc(B,C) <-> g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = k1_tsep_1(A,B,C)))))))) # label(t23_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11185 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> (v3_pre_topc(C,A) <-> v3_pre_topc(D,B))))))))))) # label(t17_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11186 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (r3_tsep_1(A,B,C) -> r1_tsep_1(A,B,C)))))))) # label(t68_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11187 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v1_tsep_1(B,A) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> v1_tsep_1(B,C) & m1_pre_topc(B,C)))))))) # label(t19_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11188 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (k1_tsep_1(A,B,C) = A & r1_tsep_1(A,B,C) -> (r4_tsep_1(A,B,C) <-> m1_pre_topc(C,A) & v1_tsep_1(C,A) & m1_pre_topc(B,A) & v1_tsep_1(B,A))))))))) # label(t98_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11189 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(B,A) & (all C (v1_pre_topc(C) & m1_pre_topc(C,A) & v1_borsuk_1(C,A) & -v3_struct_0(C) -> B != u1_struct_0(C)))))))) # label(t15_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11190 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (exists C (-v3_struct_0(C) & v1_pre_topc(C) & m1_pre_topc(C,A) & B = u1_struct_0(C))))))) # label(t10_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11191 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_borsuk_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> (v4_pre_topc(D,B) <-> v4_pre_topc(C,A))))))))))) # label(t12_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11192 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (m1_pre_topc(B,C) -> r4_tsep_1(A,B,C)))))))) # label(t86_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11193 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_1(A,C,B) & r1_tarski(E,C) & r1_tarski(D,B) -> r2_tsep_1(A,k4_subset_1(u1_struct_0(A),C,D),k4_subset_1(u1_struct_0(A),B,E))))))))))))) # label(t56_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11194 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_borsuk_1(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> -v3_struct_0(B) & v1_borsuk_1(B,C) & m1_pre_topc(B,C)))))))) # label(t14_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11195 (all A all B all C (l1_pre_topc(A) & m1_pre_topc(B,A) & m1_pre_topc(C,A) -> (r4_tsep_1(A,B,C) -> r4_tsep_1(A,C,B)))) # label(symmetry_r4_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11196 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (-r1_tsep_1(A,B,C) -> (all D (m1_pre_topc(D,A) & v1_pre_topc(D) & -v3_struct_0(D) -> (k3_xboole_0(u1_struct_0(B),u1_struct_0(C)) = u1_struct_0(D) <-> D = k2_tsep_1(A,B,C))))))))))) # label(d5_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11197 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,D) | r1_connsp_1(A,C,D) -> r1_connsp_1(A,k5_subset_1(u1_struct_0(A),B,C),D)))))))))) # label(t44_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11198 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_1(A,C,D) & r2_tsep_1(A,B,D) -> r2_tsep_1(A,k4_subset_1(u1_struct_0(A),B,C),D)))))))))) # label(t58_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11199 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,C) <-> (exists D ((exists E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(B,D) & r1_tarski(C,E) & r1_xboole_0(D,C) & r1_xboole_0(E,B) & v3_pre_topc(D,A) & v3_pre_topc(E,A))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))))))))))) # label(t48_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11200 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (A = k1_tsep_1(A,B,C) & r3_tsep_1(A,B,C) -> m1_pre_topc(B,A) & v1_tsep_1(B,A)))))))) # label(t74_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11201 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (-v3_struct_0(D) & m1_pre_topc(D,A) -> (r4_tsep_1(A,C,D) & r4_tsep_1(A,B,D) -> r4_tsep_1(A,k1_tsep_1(A,B,C),D)) & (r4_tsep_1(A,D,B) & r4_tsep_1(A,D,C) -> r4_tsep_1(A,D,k1_tsep_1(A,B,C))))))))))) # label(t92_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11202 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (-v3_struct_0(D) & m1_pre_topc(D,A) -> (r4_tsep_1(A,B,C) -> r4_tsep_1(A,k1_tsep_1(A,B,D),k1_tsep_1(A,C,D))))))))))) # label(t89_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11203 $T # label(t27_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11204 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (m1_pre_topc(B,C) & m1_pre_topc(C,B) -> g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(C),u1_pre_topc(C))))))))) # label(t6_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11205 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (k4_subset_1(u1_struct_0(A),B,C) = u1_struct_0(A) -> ((exists D ((exists E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & (exists F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(F,A) & v3_pre_topc(E,A) & v3_pre_topc(D,A) & r1_tarski(F,k5_subset_1(u1_struct_0(A),B,C)) & r1_tarski(E,C) & r1_tarski(D,B) & k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) = k4_subset_1(u1_struct_0(A),B,C))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))) <-> r2_tsep_1(A,B,C))))))))) # label(t65_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11206 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (-r1_tsep_1(A,B,C) -> (k2_tsep_1(A,B,C) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) -> m1_pre_topc(B,C)) & (m1_pre_topc(C,B) -> g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = k2_tsep_1(A,B,C)) & (k2_tsep_1(A,B,C) = g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) -> m1_pre_topc(C,B)) & (m1_pre_topc(B,C) -> k2_tsep_1(A,B,C) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)))))))))) # label(t31_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11207 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) & v4_pre_topc(B,A) -> (r1_connsp_1(A,B,C) <-> r1_xboole_0(B,C))))))))) # label(t38_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11208 (all A all B all C (-v3_struct_0(A) & l1_pre_topc(A) & m1_pre_topc(B,A) & -v3_struct_0(C) & m1_pre_topc(C,A) & -v3_struct_0(B) -> k1_tsep_1(A,B,C) = k1_tsep_1(A,C,B))) # label(commutativity_k1_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11209 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) & -v3_struct_0(B) -> (all C (v1_tsep_1(C,A) & m1_pre_topc(C,A) & -v3_struct_0(C) -> (r3_tsep_1(A,B,C) <-> r1_tsep_1(A,B,C)))))))) # label(t73_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11210 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) -> r2_tsep_1(A,B,C)))))))) # label(t52_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11211 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (r3_tsep_1(A,B,C) <-> (exists D (m1_pre_topc(D,A) & (exists E (r4_tsep_1(A,D,E) & m1_pre_topc(C,E) & (r1_tsep_1(A,k2_tsep_1(A,D,E),k1_tsep_1(A,B,C)) | r1_tsep_1(A,D,E)) & m1_pre_topc(B,D) & m1_pre_topc(E,A) & -v3_struct_0(E))) & -v3_struct_0(D)))))))))) # label(t99_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11212 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & r1_xboole_0(B,C) -> r1_xboole_0(B,k6_pre_topc(A,C))))))))) # label(t40_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11213 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> ((exists D ((exists E (r1_tarski(C,E) & r1_xboole_0(E,B) & v4_pre_topc(E,A) & v4_pre_topc(D,A) & r1_xboole_0(D,C) & r1_tarski(B,D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))) <-> r1_connsp_1(A,B,C)))))))) # label(t46_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11214 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (m1_pre_topc(B,C) <-> r1_tarski(u1_struct_0(B),u1_struct_0(C))))))))) # label(t4_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.09 11215 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,C) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) & (exists E (r1_tarski(C,E) & r1_xboole_0(k5_subset_1(u1_struct_0(A),D,E),k4_subset_1(u1_struct_0(A),B,C)) & v4_pre_topc(E,A) & v4_pre_topc(D,A) & r1_tarski(B,D) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))))))))))))) # label(t47_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11216 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_1(A,C,D) & r2_tsep_1(A,B,D) -> r2_tsep_1(A,k5_subset_1(u1_struct_0(A),B,C),D)))))))))) # label(t57_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11217 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (r3_tsep_1(A,k1_tsep_1(A,B,C),D) <-> r3_tsep_1(A,B,D) & r3_tsep_1(A,C,D)))))))))) # label(t79_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11218 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (r3_tsep_1(A,B,C) & m1_pre_topc(k1_tsep_1(A,B,C),A) & v1_borsuk_1(k1_tsep_1(A,B,C),A) -> v1_borsuk_1(B,A) & m1_pre_topc(B,A)))))))) # label(t72_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11219 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (r4_tsep_1(A,B,C) & r1_tsep_1(A,B,C) <-> r3_tsep_1(A,B,C)))))))) # label(t85_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11220 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) -> (all C (v1_tsep_1(C,B) & m1_pre_topc(C,B) -> v1_tsep_1(C,A) & m1_pre_topc(C,A))))))) # label(t18_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11221 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) & v3_pre_topc(B,A) -> r2_tsep_1(A,B,C)))))))) # label(t54_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11222 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v1_tsep_1(B,A) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & v1_tsep_1(C,A) & m1_pre_topc(C,A) -> (-r1_tsep_1(A,B,C) -> m1_pre_topc(k2_tsep_1(A,B,C),A) & v1_tsep_1(k2_tsep_1(A,B,C),A)))))))) # label(t33_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11223 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> m1_subset_1(u1_struct_0(B),k1_zfmisc_1(u1_struct_0(A))))))) # label(t1_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11224 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_borsuk_1(B,A) & -v3_struct_0(B) -> (all C (v1_borsuk_1(C,A) & m1_pre_topc(C,A) & -v3_struct_0(C) -> (r1_tsep_1(A,B,C) <-> r3_tsep_1(A,B,C)))))))) # label(t70_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11225 $T # label(d6_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11226 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & v1_tsep_1(B,A) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) & v1_tsep_1(C,A) -> v1_tsep_1(k1_tsep_1(A,B,C),A) & m1_pre_topc(k1_tsep_1(A,B,C),A))))))) # label(t25_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11227 $T # label(t69_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11228 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> (v1_tsep_1(B,A) & m1_pre_topc(B,A) <-> v3_pre_topc(C,A))))))))) # label(t16_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11229 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (m1_pre_topc(D,A) -> (all E (m1_pre_topc(E,A) -> (m1_pre_topc(D,B) & m1_pre_topc(E,C) & r3_tsep_1(A,B,C) -> r3_tsep_1(A,D,E)))))))))))) # label(t77_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11230 (all A all B all C (l1_pre_topc(A) & m1_pre_topc(C,A) & m1_pre_topc(B,A) -> (r1_tsep_1(A,B,C) -> r1_tsep_1(A,C,B)))) # label(symmetry_r1_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11231 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> ((exists D ((exists E (r1_tsep_1(A,E,B) & r1_tsep_1(A,D,C) & m1_pre_topc(C,E) & m1_pre_topc(B,D) & m1_pre_topc(E,A) & v1_tsep_1(E,A) & -v3_struct_0(E))) & m1_pre_topc(D,A) & v1_tsep_1(D,A) & -v3_struct_0(D))) <-> r3_tsep_1(A,B,C)))))))) # label(t82_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11232 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (v1_tsep_1(k1_tsep_1(A,B,C),A) & m1_pre_topc(k1_tsep_1(A,B,C),A) & r3_tsep_1(A,B,C) -> v1_tsep_1(B,A) & m1_pre_topc(B,A)))))))) # label(t75_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11233 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) & v4_pre_topc(C,A) -> r2_tsep_1(A,B,C)))))))) # label(t53_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11234 (all A (l1_pre_topc(A) -> m1_pre_topc(A,A))) # label(t2_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11235 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) -> (all C (m1_pre_topc(C,A) & v1_tsep_1(C,A) -> r4_tsep_1(A,B,C))))))) # label(t88_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11236 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_connsp_1(A,B,D) & r1_connsp_1(A,C,D) <-> r1_connsp_1(A,k4_subset_1(u1_struct_0(A),B,C),D)))))))))) # label(t45_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11237 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> (r2_tsep_1(A,B,C) -> r2_tsep_1(A,C,B)))) # label(symmetry_r2_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11238 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v1_borsuk_1(B,A) -> (all C (m1_pre_topc(C,A) & v1_borsuk_1(C,A) & -v3_struct_0(C) -> m1_pre_topc(k1_tsep_1(A,B,C),A) & v1_borsuk_1(k1_tsep_1(A,B,C),A))))))) # label(t24_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11239 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,B) -> m1_pre_topc(C,A))))))) # label(t7_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11240 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (v1_tsep_1(B,A) & v2_pre_topc(B) & v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc1_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11241 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (r3_tsep_1(A,C,D) -> r3_tsep_1(A,k2_tsep_1(A,C,B),k2_tsep_1(A,D,B)) & r3_tsep_1(A,k2_tsep_1(A,B,C),k2_tsep_1(A,B,D)) | r1_tsep_1(A,D,B) | r1_tsep_1(A,C,B)))))))))) # label(t76_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11242 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (k1_tsep_1(A,B,C) = A & r3_tsep_1(A,B,C) -> m1_pre_topc(B,A) & v1_borsuk_1(B,A)))))))) # label(t71_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.73/188.10 11243 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> ((exists D ((exists E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & r1_tarski(B,D) & v3_pre_topc(E,A) & v3_pre_topc(D,A) & r1_xboole_0(k5_subset_1(u1_struct_0(A),D,E),k4_subset_1(u1_struct_0(A),B,C)) & r1_tarski(C,E))) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))) <-> r1_connsp_1(A,B,C)))))))) # label(t49_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11244 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,u1_struct_0(B)) & E = D & r1_tarski(D,C) & v4_pre_topc(C,A) -> (v4_pre_topc(D,A) <-> v4_pre_topc(E,B))))))))))))) # label(t8_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11245 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (-r1_tsep_1(A,C,D) -> (r4_tsep_1(A,D,B) & r4_tsep_1(A,C,B) -> r4_tsep_1(A,k2_tsep_1(A,C,D),B)) & (r4_tsep_1(A,B,D) & r4_tsep_1(A,B,C) -> r4_tsep_1(A,B,k2_tsep_1(A,C,D)))))))))))) # label(t91_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11246 $T # label(d4_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11247 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tsep_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> v3_pre_topc(C,A))))))))) # label(d1_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11248 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (k1_tsep_1(A,B,C) = A -> (-((all D (-v3_struct_0(D) & m1_pre_topc(D,A) & v1_borsuk_1(D,A) -> (all E (-v3_struct_0(E) & v1_borsuk_1(E,A) & m1_pre_topc(E,A) -> -(-((all F (m1_pre_topc(F,A) & v1_tsep_1(F,A) & -v3_struct_0(F) -> -(A = k1_tsep_1(A,k1_tsep_1(A,D,E),F) & m1_pre_topc(F,k2_tsep_1(A,B,C))))) & A != k1_tsep_1(A,D,E)) & m1_pre_topc(E,C) & m1_pre_topc(D,B)))))) & -m1_pre_topc(C,B) & -m1_pre_topc(B,C)) <-> r4_tsep_1(A,B,C)) | r1_tsep_1(A,B,C)))))))) # label(t94_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11249 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (r3_tsep_1(A,B,D) -> r1_tsep_1(A,B,C) | r3_tsep_1(A,k2_tsep_1(A,B,C),D)))))))))) # label(t78_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11250 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_xboole_0(B,C) & r2_tsep_1(A,B,C) <-> r1_connsp_1(A,B,C)))))))) # label(t51_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11251 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -((all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (-v1_xboole_0(E) & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & v3_pre_topc(E,A) & r1_tarski(E,C) & -((all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(F) -> -(k4_subset_1(u1_struct_0(A),k4_subset_1(u1_struct_0(A),D,E),F) = k4_subset_1(u1_struct_0(A),B,C) & r1_tarski(F,k5_subset_1(u1_struct_0(A),B,C)) & v4_pre_topc(F,A)))) & k4_subset_1(u1_struct_0(A),D,E) != k4_subset_1(u1_struct_0(A),B,C)) & r1_tarski(D,B)))))) & -r1_tarski(C,B) & -r1_tarski(B,C) & r2_tsep_1(A,B,C) & u1_struct_0(A) = k4_subset_1(u1_struct_0(A),B,C)))))))) # label(t66_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11252 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_1(A,B,C) <-> r1_connsp_1(A,k6_subset_1(u1_struct_0(A),B,C),k6_subset_1(u1_struct_0(A),C,B))))))))) # label(d7_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11253 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (all D (m1_pre_topc(D,A) & -v3_struct_0(D) -> (-r1_tsep_1(A,B,C) -> k2_tsep_1(A,B,C) = k2_tsep_1(A,C,B)) & (-r1_tsep_1(A,B,k2_tsep_1(A,C,D)) & -r1_tsep_1(A,C,D) | -r1_tsep_1(A,B,C) & -r1_tsep_1(A,k2_tsep_1(A,B,C),D) -> k2_tsep_1(A,B,k2_tsep_1(A,C,D)) = k2_tsep_1(A,k2_tsep_1(A,B,C),D)))))))))) # label(t29_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11254 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (-r1_tsep_1(A,B,C) -> m1_pre_topc(k2_tsep_1(A,B,C),C) & m1_pre_topc(k2_tsep_1(A,B,C),B)))))))) # label(t30_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11255 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (-r1_tsep_1(A,B,C) -> (r4_tsep_1(A,B,C) <-> -(-m1_pre_topc(B,C) & -m1_pre_topc(C,B) & (all D (-v3_struct_0(D) & m1_pre_topc(D,A) & v1_borsuk_1(D,A) -> (all E (-v3_struct_0(E) & m1_pre_topc(E,A) & v1_borsuk_1(E,A) -> -(m1_pre_topc(k2_tsep_1(A,E,k1_tsep_1(A,B,C)),C) & -(-m1_pre_topc(k1_tsep_1(A,B,C),k1_tsep_1(A,D,E)) & (all F (-v3_struct_0(F) & v1_tsep_1(F,A) & m1_pre_topc(F,A) -> -(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = k1_tsep_1(A,k1_tsep_1(A,D,E),F) & m1_pre_topc(k2_tsep_1(A,F,k1_tsep_1(A,B,C)),k2_tsep_1(A,B,C)))))) & m1_pre_topc(k2_tsep_1(A,D,k1_tsep_1(A,B,C)),B))))))))))))))) # label(t93_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11256 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (r1_tsep_1(A,B,C) & A = k1_tsep_1(A,B,C) -> (r4_tsep_1(A,B,C) <-> m1_pre_topc(B,A) & m1_pre_topc(C,A) & v1_borsuk_1(C,A) & v1_borsuk_1(B,A))))))))) # label(t95_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11257 (all A all B all C (m1_pre_topc(B,A) & m1_pre_topc(C,A) & l1_pre_topc(A) -> (r3_tsep_1(A,B,C) -> r3_tsep_1(A,C,B)))) # label(symmetry_r3_tsep_1) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11258 (all A all B (v10_lattices(B) & l3_lattices(B) & v17_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r3_lattice3(B,C,A) <-> r4_lattice3(B,k7_lattices(B,C),a_2_0_lattice3(A,B))))))) # label(t24_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11259 (exists A (v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v6_lattice3(A) & v5_lattice3(A) & v4_lattice3(A) & v10_lattices(A) & v9_lattices(A) & v8_lattices(A) & v3_lattices(A) & -v3_struct_0(A) & l3_lattices(A))) # label(rc3_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11260 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> v2_lattice3(k3_lattice3(A)) & v1_lattice3(k3_lattice3(A)))) # label(t11_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11261 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) -> ((all B all C (m1_subset_1(C,u1_struct_0(A)) -> r3_lattices(A,k4_lattices(A,C,k15_lattice3(A,B)),k15_lattice3(A,a_3_3_lattice3(A,B,C))))) <-> v5_lattice3(A)))) # label(t33_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11262 r1_tarski(f2_s2_lattice3,k1_relat_1(f4_s2_lattice3)) -> a_0_2_lattice3 = k9_relat_1(f4_s2_lattice3,a_0_1_lattice3) # label(s2_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11263 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> k2_lattice3(k1_lattice2(A)) = k6_lattice3(u1_struct_0(A),k2_lattice3(A)) & k7_lattice3(k3_lattice3(A)) = k3_lattice3(k1_lattice2(A)))) # label(t20_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11264 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k3_lattice3(A) = g1_orders_2(u1_struct_0(A),k2_lattice3(A)))) # label(d2_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11265 (all A (l1_orders_2(A) -> l1_orders_2(k7_lattice3(A)) & v1_orders_2(k7_lattice3(A)))) # label(dt_k7_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11266 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(k3_lattice3(A))) -> k5_lattice3(A,B) = B)))) # label(d4_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11267 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_orders_2(k7_lattice3(A),k8_lattice3(A,C),k8_lattice3(A,B)) <-> r1_orders_2(A,B,C)))))))) # label(t9_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11268 (all A all B all C (v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & v2_lattice3(A) -> k12_lattice3(A,B,C) = k11_lattice3(A,B,C))) # label(redefinition_k12_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11269 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k16_lattice3(A,a_2_4_lattice3(A,B)) & B = k15_lattice3(A,a_2_3_lattice3(A,B)))))) # label(t45_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11270 (all A all B (v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & v5_lattice3(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k15_lattice3(B,a_3_7_lattice3(A,B,C)) = k4_lattices(B,C,k15_lattice3(B,A)) & k15_lattice3(B,a_3_8_lattice3(A,B,C)) = k4_lattices(B,k15_lattice3(B,A),C))))) # label(t54_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11271 (all A (v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C r3_lattices(A,k15_lattice3(A,a_3_2_lattice3(A,B,C)),k4_lattices(A,B,k15_lattice3(A,C)))))))) # label(t32_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11272 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v5_lattice3(A) <-> (all B all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r4_lattice3(A,C,B) & (all F (m1_subset_1(F,u1_struct_0(A)) -> (r4_lattice3(A,F,B) -> r1_lattices(A,C,F)))) & (all F (m1_subset_1(F,u1_struct_0(A)) -> (r4_lattice3(A,F,a_3_0_lattice3(A,B,D)) -> r1_lattices(A,E,F)))) & r4_lattice3(A,E,a_3_0_lattice3(A,B,D)) -> r1_lattices(A,k2_lattices(A,D,C),E))))))))))) # label(d19_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11273 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k1_zfmisc_1(A),A) & m2_relset_1(B,k1_zfmisc_1(A),A) -> -((all C (m1_subset_1(C,A) -> C = k8_funct_2(k1_zfmisc_1(A),A,B,k6_domain_1(A,C)))) & (all C (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))) -> k8_funct_2(k1_zfmisc_1(A),A,B,k10_relset_1(k1_zfmisc_1(A),A,B,C)) = k1_funct_1(B,k3_tarski(C)))) & (all C (-v3_struct_0(C) & v3_lattices(C) & v4_lattice3(C) & l3_lattices(C) & v10_lattices(C) -> -(u1_struct_0(C) = A & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) -> k15_lattice3(C,D) = k1_funct_1(B,D))))))))))) # label(t56_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11274 (all A (v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,B,C) = k15_lattice3(A,k2_struct_0(A,B,C)) & k16_lattice3(A,k2_struct_0(A,B,C)) = k4_lattices(A,B,C))))))) # label(t44_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11275 (all A all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r2_lattice3(k3_lattice3(B),A,k4_lattice3(B,C)) <-> r4_lattice3(B,C,A)))))) # label(t30_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11276 (all A (-v3_struct_0(A) & l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C r3_lattices(A,k3_lattices(A,B,k16_lattice3(A,C)),k16_lattice3(A,a_3_4_lattice3(A,B,C)))))))) # label(t35_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11277 (all A all B all C all D (l3_lattices(B) & m1_subset_1(D,u1_struct_0(B)) & -v3_struct_0(B) -> (r2_hidden(A,a_3_1_lattice3(B,C,D)) <-> (exists E (A = k1_lattices(B,D,E) & r2_hidden(E,C) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_1_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11278 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k16_lattice3(A,k1_struct_0(A,B)) & B = k15_lattice3(A,k1_struct_0(A,B)))))) # label(t43_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11279 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> v4_orders_2(k3_lattice3(A)) & v3_orders_2(k3_lattice3(A)) & v2_orders_2(k3_lattice3(A)) & v1_orders_2(k3_lattice3(A)) & -v3_struct_0(k3_lattice3(A)))) # label(fc4_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11280 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,C) -> r1_lattices(A,B,D)))) <-> r3_lattice3(A,B,C))))))) # label(d16_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11281 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> v8_relat_2(k2_lattice3(A)) & m2_relset_1(k2_lattice3(A),u1_struct_0(A),u1_struct_0(A)) & v1_partfun1(k2_lattice3(A),u1_struct_0(A),u1_struct_0(A)) & v4_relat_2(k2_lattice3(A)) & v1_relat_2(k2_lattice3(A)))) # label(dt_k2_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11282 (all A (l1_orders_2(A) & -v3_struct_0(A) -> v1_orders_2(k7_lattice3(A)) & -v3_struct_0(k7_lattice3(A)))) # label(fc6_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11283 (all A all B (-v3_struct_0(A) & l3_lattices(A) -> m1_subset_1(k15_lattice3(A,B),u1_struct_0(A)))) # label(dt_k15_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11284 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k8_lattice3(A,B))))) # label(d6_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11285 (all A (-v3_struct_0(A) & l1_orders_2(A) -> (v3_lattice3(A) -> v1_lattice3(A) & v2_lattice3(A)))) # label(t12_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11286 (all A all B all C all D (v10_lattices(B) & l3_lattices(B) & m1_subset_1(D,u1_struct_0(B)) & v4_lattice3(B) & -v3_struct_0(B) -> ((exists E (r2_hidden(E,C) & A = k3_lattices(B,D,E) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_5_lattice3(B,C,D))))) # label(fraenkel_a_3_5_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11287 (all A all B (l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & v10_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k4_lattice3(A,B),u1_struct_0(k3_lattice3(A))))) # label(dt_k4_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11288 (all A all B all C all D (v4_lattice3(C) & v6_lattice3(C) & l3_lattices(C) & m1_subset_1(D,u1_struct_0(C)) & v10_lattices(C) & -v3_struct_0(C) -> ((exists E (m1_subset_1(E,u1_struct_0(C)) & A = k3_lattices(C,D,E) & r2_hidden(E,B))) <-> r2_hidden(A,a_3_9_lattice3(B,C,D))))) # label(fraenkel_a_3_9_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11289 (all A all B all C (-v3_struct_0(C) & v10_lattices(C) & v17_lattices(C) & l3_lattices(C) -> ((exists D (m1_subset_1(D,u1_struct_0(C)) & k7_lattices(C,D) = A & r2_hidden(D,B))) <-> r2_hidden(A,a_2_0_lattice3(B,C))))) # label(fraenkel_a_2_0_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11290 (all A all B (l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k8_lattice3(A,B),u1_struct_0(k7_lattice3(A))))) # label(dt_k8_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11291 (all A all B all C all D (-v3_struct_0(C) & v4_lattice3(C) & m1_subset_1(D,u1_struct_0(C)) & l3_lattices(C) & v6_lattice3(C) & v10_lattices(C) -> ((exists E (r2_hidden(E,B) & A = k3_lattices(C,E,D) & m1_subset_1(E,u1_struct_0(C)))) <-> r2_hidden(A,a_3_10_lattice3(B,C,D))))) # label(fraenkel_a_3_10_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11292 (all A all B all C (l3_lattices(B) & -v3_struct_0(B) -> ((exists D (m1_subset_1(D,u1_struct_0(B)) & r3_lattice3(B,D,C) & D = A)) <-> r2_hidden(A,a_2_1_lattice3(B,C))))) # label(fraenkel_a_2_1_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11293 (all A (v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r2_hidden(B,C) -> r3_lattices(A,k16_lattice3(A,C),B) & r3_lattices(A,B,k15_lattice3(A,C)))))))) # label(t38_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11294 (all A (v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & -v3_struct_0(A) -> v10_lattices(A) & v13_lattices(A) & k5_lattices(A) = k15_lattice3(A,k1_xboole_0) & l3_lattices(A) & -v3_struct_0(A))) # label(t50_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11295 (all A (l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (r1_tarski(B,k1_zfmisc_1(u1_struct_0(A))) -> k15_lattice3(A,k3_tarski(B)) = k15_lattice3(A,a_2_7_lattice3(A,B)))))) # label(t49_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11296 (all A (l1_orders_2(A) -> g1_orders_2(u1_struct_0(A),k6_relset_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A))) = k7_lattice3(A))) # label(d5_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11297 (all A (l1_orders_2(A) -> (all B all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_lattice3(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) -> r1_orders_2(A,D,C))))))))) # label(d9_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11298 (all A (v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) & -v3_struct_0(A) -> (all B all C ((all D (m1_subset_1(D,u1_struct_0(A)) -> -(r2_hidden(D,B) & (all E (m1_subset_1(E,u1_struct_0(A)) -> -(r2_hidden(E,C) & r3_lattices(A,D,E))))))) -> r3_lattices(A,k15_lattice3(A,B),k15_lattice3(A,C)))))) # label(t48_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11299 (all A (v4_orders_2(A) & l1_orders_2(A) & v1_lattice3(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (v3_orders_2(A) -> k10_lattice3(A,B,k10_lattice3(A,C,D)) = k10_lattice3(A,k10_lattice3(A,B,C),D)))))))))) # label(t14_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11300 (all A (l1_orders_2(A) -> (v2_lattice3(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (r1_orders_2(A,D,B) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,E,B) & r1_orders_2(A,E,C) -> r1_orders_2(A,E,D)))) & r1_orders_2(A,D,C) & m1_subset_1(D,u1_struct_0(A))))))))))) # label(d11_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11301 (all A (v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v2_orders_2(A) -> v2_orders_2(k7_lattice3(A)) & v3_orders_2(k7_lattice3(A)) & v4_orders_2(k7_lattice3(A)) & v1_orders_2(k7_lattice3(A)))) # label(fc5_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11302 (all A all B all C all D (-v3_struct_0(C) & v10_lattices(C) & v4_lattice3(C) & v5_lattice3(C) & m1_subset_1(D,u1_struct_0(C)) & l3_lattices(C) -> ((exists E (m1_subset_1(E,u1_struct_0(C)) & r2_hidden(E,B) & A = k4_lattices(C,E,D))) <-> r2_hidden(A,a_3_8_lattice3(B,C,D))))) # label(fraenkel_a_3_8_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11303 (all A ((exists B (p1_s1_lattice3(B) & f1_s1_lattice3 = A & m1_subset_1(B,f2_s1_lattice3))) <-> r2_hidden(A,a_0_0_lattice3))) # label(fraenkel_a_0_0_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11304 (all A all B all C (v4_orders_2(A) & v2_lattice3(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_orders_2(A) -> m1_subset_1(k12_lattice3(A,B,C),u1_struct_0(A)))) # label(dt_k12_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.10 11305 (all A all B (m1_subset_1(B,u1_struct_0(k1_lattice3(A))) -> (all C (m1_subset_1(C,u1_struct_0(k1_lattice3(A))) -> k3_xboole_0(B,C) = k2_lattices(k1_lattice3(A),B,C) & k2_xboole_0(B,C) = k1_lattices(k1_lattice3(A),B,C))))) # label(t1_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11306 (all A all B (-v3_struct_0(B) & v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & v6_lattice3(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> k16_lattice3(B,a_3_10_lattice3(A,B,C)) = k3_lattices(B,k16_lattice3(B,A),C) & k3_lattices(B,C,k16_lattice3(B,A)) = k16_lattice3(B,a_3_9_lattice3(A,B,C)))))) # label(t55_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11307 (all A (l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r3_lattice3(A,B,C) -> r3_lattices(A,B,k16_lattice3(A,C)))))))) # label(t40_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11308 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v4_lattice3(A) -> (all B k15_lattice3(A,B) = k16_lattice3(A,a_2_2_lattice3(A,B))))) # label(t37_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11309 (all A (l1_orders_2(A) -> -v3_struct_0(k14_lattice3(A)) & v3_lattices(k14_lattice3(A)) & l3_lattices(k14_lattice3(A)) & v10_lattices(k14_lattice3(A)))) # label(dt_k14_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11310 (all A all B all C (-v3_struct_0(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & v10_lattices(B) -> ((exists D (A = D & r3_lattices(B,C,D) & m1_subset_1(D,u1_struct_0(B)))) <-> r2_hidden(A,a_2_4_lattice3(B,C))))) # label(fraenkel_a_2_4_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11311 (all A all B (l3_lattices(B) & v3_lattices(B) -> (k1_lattice3(A) = B <-> u1_struct_0(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)) -> k5_subset_1(A,C,D) = k1_binop_1(u1_lattices(B),C,D) & k1_binop_1(u2_lattices(B),C,D) = k4_subset_1(A,C,D)))))))) # label(d1_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11312 (all A (v3_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & v1_lattice3(A) & v4_orders_2(A) & v2_orders_2(A) -> (exists B (-v3_struct_0(B) & v10_lattices(B) & k3_lattice3(B) = g1_orders_2(u1_struct_0(A),u1_orders_2(A)) & l3_lattices(B) & v3_lattices(B))))) # label(t19_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11313 (all A all B (m1_subset_1(B,u1_struct_0(k1_lattice3(A))) -> k7_lattices(k1_lattice3(A),B) = k4_xboole_0(A,B))) # label(t5_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11314 (all A all B all C all D (v10_lattices(B) & v4_lattice3(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & -v3_struct_0(B) -> (r2_hidden(A,a_3_4_lattice3(B,C,D)) <-> (exists E (k3_lattices(B,C,E) = A & r2_hidden(E,D) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_4_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11315 (all A (-v3_struct_0(A) & l3_lattices(A) -> ((all B exists C ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r4_lattice3(A,D,B) -> r1_lattices(A,C,D)))) & r4_lattice3(A,C,B) & m1_subset_1(C,u1_struct_0(A)))) <-> v4_lattice3(A)))) # label(d18_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11316 (all A all B (v1_relat_2(B) & v4_relat_2(B) & m1_relset_1(B,A,A) & v1_partfun1(B,A,A) & v8_relat_2(B) -> v1_partfun1(k6_lattice3(A,B),A,A) & m2_relset_1(k6_lattice3(A,B),A,A) & v8_relat_2(k6_lattice3(A,B)) & v4_relat_2(k6_lattice3(A,B)) & v1_relat_2(k6_lattice3(A,B)))) # label(dt_k6_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11317 (all A (-v3_struct_0(A) & l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r2_hidden(B,C) & r3_lattice3(A,B,C) -> B = k16_lattice3(A,C))))))) # label(t42_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11318 (all A v5_lattice3(k1_lattice3(A))) # label(t26_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11319 (exists A (v1_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v3_lattice3(A) & v2_lattice3(A) & v3_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) & l1_orders_2(A))) # label(rc2_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11320 (all A all B all C all D (-v3_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) & m1_subset_1(D,u1_struct_0(B)) & l3_lattices(B) & v4_lattice3(B) & v10_lattices(B) -> ((exists E (E = A & r3_lattices(B,k4_lattices(B,C,E),D) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_6_lattice3(B,C,D))))) # label(fraenkel_a_3_6_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11321 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B all C (m1_subset_1(C,u1_struct_0(A)) -> (k15_lattice3(A,B) = C <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r4_lattice3(A,D,B) -> r1_lattices(A,C,D)))) & r4_lattice3(A,C,B))))))) # label(d21_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11322 (all A (v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & -v3_struct_0(A) -> (v3_filter_0(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v5_lattice3(A)))) # label(t53_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11323 (all A all B (v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v1_relat_2(B) -> B = k6_lattice3(A,k6_lattice3(A,B)))) # label(involutiveness_k6_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11324 (all A (-v3_struct_0(A) & v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) -> ((all B all C (m1_subset_1(C,u1_struct_0(A)) -> r3_lattices(A,k16_lattice3(A,a_3_5_lattice3(A,B,C)),k3_lattices(A,C,k16_lattice3(A,B))))) <-> v6_lattice3(A)))) # label(t36_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11325 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C ((all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,C) -> r1_lattices(A,D,B)))) <-> r4_lattice3(A,B,C))))))) # label(d17_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11326 (all A (l1_orders_2(A) -> g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = k7_lattice3(k7_lattice3(A)))) # label(t8_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11327 (all A (l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(k7_lattice3(A))) -> B = k9_lattice3(A,B))))) # label(d7_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11328 (all A (l1_orders_2(A) & v2_lattice3(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (v3_orders_2(A) -> k11_lattice3(A,B,k11_lattice3(A,C,D)) = k11_lattice3(A,k11_lattice3(A,B,C),D)))))))))) # label(t16_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11329 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (k3_lattice3(A) = k3_lattice3(B) -> g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B))))))) # label(t6_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11330 $T # label(t39_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11331 (all A (l1_orders_2(A) -> (v2_lattice3(A) -> -v3_struct_0(A)))) # label(cc2_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11332 (all A (l1_orders_2(A) -> (v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) & v2_lattice3(A) & v1_lattice3(A) & v2_orders_2(A) -> (all B (-v3_struct_0(B) & v3_lattices(B) & v10_lattices(B) & l3_lattices(B) -> (g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = k3_lattice3(B) <-> k14_lattice3(A) = B)))))) # label(d15_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11333 (all A (-v3_struct_0(A) & v3_orders_2(A) & v3_lattice3(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) -> -v3_struct_0(k14_lattice3(A)) & v5_lattices(k14_lattice3(A)) & v6_lattices(k14_lattice3(A)) & v8_lattices(k14_lattice3(A)) & v9_lattices(k14_lattice3(A)) & v4_lattice3(k14_lattice3(A)) & v10_lattices(k14_lattice3(A)) & v7_lattices(k14_lattice3(A)) & v4_lattices(k14_lattice3(A)) & v3_lattices(k14_lattice3(A)))) # label(fc7_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11334 (all A (l1_orders_2(A) -> (v1_lattice3(A) <-> v2_lattice3(k7_lattice3(A))))) # label(t10_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11335 (all A all B all C (l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k10_lattice3(A,B,C),u1_struct_0(A)))) # label(dt_k10_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11336 (all A (v3_lattices(k1_lattice3(A)) & l3_lattices(k1_lattice3(A)))) # label(dt_k1_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11337 (all A all B all C all D (m1_subset_1(C,u1_struct_0(B)) & l3_lattices(B) & v4_lattice3(B) & v10_lattices(B) & -v3_struct_0(B) -> ((exists E (m1_subset_1(E,u1_struct_0(B)) & r2_hidden(E,D) & A = k4_lattices(B,C,E))) <-> r2_hidden(A,a_3_2_lattice3(B,C,D))))) # label(fraenkel_a_3_2_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11338 (all A all B all C all D (v4_lattice3(B) & m1_subset_1(D,u1_struct_0(B)) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> ((exists E (k4_lattices(B,D,E) = A & r2_hidden(E,C) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_3_lattice3(B,C,D))))) # label(fraenkel_a_3_3_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11339 (all A all B all C (v1_lattice3(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_orders_2(A) & v4_orders_2(A) -> k10_lattice3(A,B,C) = k13_lattice3(A,B,C))) # label(redefinition_k13_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11340 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> v1_orders_2(k3_lattice3(A)) & v3_orders_2(k3_lattice3(A)) & l1_orders_2(k3_lattice3(A)) & v4_orders_2(k3_lattice3(A)) & v2_orders_2(k3_lattice3(A)))) # label(dt_k3_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11341 (all A all B all C (-v3_struct_0(B) & v4_lattice3(B) & l3_lattices(B) & v10_lattices(B) -> ((exists D (D = A & (exists E (r3_lattices(B,D,E) & r2_hidden(E,C) & m1_subset_1(E,u1_struct_0(B)))) & m1_subset_1(D,u1_struct_0(B)))) <-> r2_hidden(A,a_2_5_lattice3(B,C))))) # label(fraenkel_a_2_5_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11342 (all A (l1_orders_2(A) & v1_lattice3(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k10_lattice3(A,C,B) = k10_lattice3(A,B,C))))))) # label(t13_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11343 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r4_lattice3(A,B,k2_struct_0(A,C,D)) <-> r3_lattices(A,k3_lattices(A,C,D),B)))))))))) # label(t22_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11344 (all A v4_lattice3(k1_lattice3(A))) # label(t25_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11345 (all A (l1_orders_2(A) -> (v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> ((exists D ((all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,B,E) & r1_orders_2(A,C,E) -> r1_orders_2(A,D,E)))) & r1_orders_2(A,C,D) & r1_orders_2(A,B,D) & m1_subset_1(D,u1_struct_0(A)))) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k10_lattice3(A,B,C) = D <-> r1_orders_2(A,C,D) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,B,E) & r1_orders_2(A,C,E) -> r1_orders_2(A,D,E)))) & r1_orders_2(A,B,D)))))))))))) # label(d13_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11346 (all A (-v3_struct_0(A) & v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (l3_lattices(A) & v3_filter_0(A) & v10_lattices(A) & -v3_struct_0(A) -> k4_filter_0(A,B,C) = k15_lattice3(A,a_3_6_lattice3(A,B,C))))))))) # label(t52_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11347 (all A (v3_lattices(k1_lattice3(A)) & v5_lattices(k1_lattice3(A)) & v6_lattices(k1_lattice3(A)) & v7_lattices(k1_lattice3(A)) & v12_lattices(k1_lattice3(A)) & v13_lattices(k1_lattice3(A)) & v16_lattices(k1_lattice3(A)) & v17_lattices(k1_lattice3(A)) & v15_lattices(k1_lattice3(A)) & v14_lattices(k1_lattice3(A)) & v11_lattices(k1_lattice3(A)) & v10_lattices(k1_lattice3(A)) & v9_lattices(k1_lattice3(A)) & v8_lattices(k1_lattice3(A)) & v4_lattices(k1_lattice3(A)) & -v3_struct_0(k1_lattice3(A)))) # label(fc3_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11348 (all A all B (l1_orders_2(A) & m1_subset_1(B,u1_struct_0(k7_lattice3(A))) -> m1_subset_1(k9_lattice3(A,B),u1_struct_0(A)))) # label(dt_k9_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11349 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattice3(A,B,k2_struct_0(A,C,D)) <-> r3_lattices(A,B,k4_lattices(A,C,D))))))))))) # label(t21_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11350 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> k9_filter_1(A) = k2_lattice3(A))) # label(redefinition_k2_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11351 (all A (v2_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & l1_orders_2(A) & v1_lattice3(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k12_lattice3(A,B,k13_lattice3(A,B,C)) = B)))))) # label(t18_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11352 (all A (v2_lattice3(A) & l1_orders_2(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k11_lattice3(A,B,C) = k11_lattice3(A,C,B))))))) # label(t15_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11353 (all A ((exists B (p1_s2_lattice3(B) & A = f3_s2_lattice3(B) & m1_subset_1(B,f1_s2_lattice3))) <-> r2_hidden(A,a_0_1_lattice3))) # label(fraenkel_a_0_1_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11354 (all A all B all C (-v3_struct_0(B) & v4_lattice3(B) & l3_lattices(B) & v10_lattices(B) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & r2_hidden(D,C) & k15_lattice3(B,D) = A)) <-> r2_hidden(A,a_2_7_lattice3(B,C))))) # label(fraenkel_a_2_7_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11355 (all A (v3_lattices(k1_lattice3(A)) & v9_lattices(k1_lattice3(A)) & v10_lattices(k1_lattice3(A)) & v8_lattices(k1_lattice3(A)) & v7_lattices(k1_lattice3(A)) & v6_lattices(k1_lattice3(A)) & v5_lattices(k1_lattice3(A)) & v4_lattices(k1_lattice3(A)) & -v3_struct_0(k1_lattice3(A)))) # label(fc2_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11356 (all A (-v3_struct_0(A) & l3_lattices(A) & v4_lattice3(A) & v10_lattices(A) -> (all B all C (r1_tarski(B,C) -> r3_lattices(A,k15_lattice3(A,B),k15_lattice3(A,C)) & r3_lattices(A,k16_lattice3(A,C),k16_lattice3(A,B)))))) # label(t46_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11357 (all A all B all C (l1_orders_2(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k11_lattice3(A,B,C),u1_struct_0(A)))) # label(dt_k11_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11358 (all A (l1_orders_2(A) -> (all 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) -> r1_orders_2(A,C,D)))) <-> r1_lattice3(A,B,C)))))) # label(d8_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11359 (all A (v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (r2_hidden(B,C) & r4_lattice3(A,B,C) -> k15_lattice3(A,C) = B)))))) # label(t41_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11360 (all A all B all C (l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & v4_lattice3(B) & v10_lattices(B) & -v3_struct_0(B) -> ((exists D (m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,D,C))) <-> r2_hidden(A,a_2_3_lattice3(B,C))))) # label(fraenkel_a_2_3_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.76/188.11 11361 (all A (v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (B = k16_lattice3(A,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattice3(A,D,C) -> r3_lattices(A,D,B)))) & r3_lattice3(A,B,C))))))) # label(t34_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11362 (all A (l3_lattices(A) & -v3_struct_0(A) -> (v6_lattice3(A) <-> (all B all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> ((all F (m1_subset_1(F,u1_struct_0(A)) -> (r3_lattice3(A,F,a_3_1_lattice3(A,B,D)) -> r1_lattices(A,F,E)))) & r3_lattice3(A,E,a_3_1_lattice3(A,B,D)) & (all F (m1_subset_1(F,u1_struct_0(A)) -> (r3_lattice3(A,F,B) -> r1_lattices(A,F,C)))) & r3_lattice3(A,C,B) -> r1_lattices(A,E,k1_lattices(A,D,C)))))))))))) # label(d20_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11363 (all A (l1_orders_2(A) -> (v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> ((exists D (r1_orders_2(A,D,B) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,E,C) & r1_orders_2(A,E,B) -> r1_orders_2(A,E,D)))) & r1_orders_2(A,D,C) & m1_subset_1(D,u1_struct_0(A)))) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (D = k11_lattice3(A,B,C) <-> r1_orders_2(A,D,C) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,E,B) & r1_orders_2(A,E,C) -> r1_orders_2(A,E,D)))) & r1_orders_2(A,D,B)))))))))))) # label(d14_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11364 (all A all B (m1_subset_1(B,u1_struct_0(k1_lattice3(A))) -> (all C (m1_subset_1(C,u1_struct_0(k1_lattice3(A))) -> (r1_tarski(B,C) <-> r1_lattices(k1_lattice3(A),B,C)))))) # label(t2_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11365 (all A (v4_lattice3(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (k16_lattice3(A,a_2_6_lattice3(A,B)) = k16_lattice3(A,B) & k15_lattice3(A,a_2_5_lattice3(A,B)) = k15_lattice3(A,B))))) # label(t47_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11366 (all A all B (-v3_struct_0(A) & l3_lattices(A) -> m1_subset_1(k16_lattice3(A,B),u1_struct_0(A)))) # label(dt_k16_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11367 (all A (v2_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & v2_lattice3(A) & v4_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k13_lattice3(A,k12_lattice3(A,B,C),C) = C)))))) # label(t17_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11368 (all A all B all C (l3_lattices(B) & v4_lattice3(B) & v10_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_6_lattice3(B,C)) <-> (exists D ((exists E (r2_hidden(E,C) & r3_lattices(B,E,D) & m1_subset_1(E,u1_struct_0(B)))) & A = D & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_6_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11369 (all A all B all C (m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_orders_2(A) & v1_lattice3(A) & v4_orders_2(A) -> k13_lattice3(A,C,B) = k13_lattice3(A,B,C))) # label(commutativity_k13_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11370 (all A all B all C (v4_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k13_lattice3(A,B,C),u1_struct_0(A)))) # label(dt_k13_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11371 (all A all B (v17_lattices(B) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r4_lattice3(B,C,A) <-> r3_lattice3(B,k7_lattices(B,C),a_2_0_lattice3(A,B))))))) # label(t23_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11372 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(k3_lattice3(A))) -> m1_subset_1(k5_lattice3(A,B),u1_struct_0(A)))) # label(dt_k5_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11373 (all A (k1_xboole_0 = k5_lattices(k1_lattice3(A)) & v13_lattices(k1_lattice3(A)))) # label(t3_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11374 (all A all B all C all D (m1_subset_1(D,u1_struct_0(B)) & l3_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_0_lattice3(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & k2_lattices(B,D,E) = A & r2_hidden(E,C)))))) # label(fraenkel_a_3_0_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11375 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k4_lattice3(A,B) = B)))) # label(d3_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11376 (exists A (m1_subset_1(A,f2_s1_lattice3) & p1_s1_lattice3(A))) -> a_0_0_lattice3 = k1_tarski(f1_s1_lattice3) # label(s1_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11377 (all A (v14_lattices(k1_lattice3(A)) & k6_lattices(k1_lattice3(A)) = A)) # label(t4_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11378 (all A v6_lattice3(k1_lattice3(A))) # label(t27_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11379 (all A (-v3_struct_0(k1_lattice3(A)) & v3_lattices(k1_lattice3(A)))) # label(fc1_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11380 (all A all B all C all D (-v3_struct_0(C) & v5_lattice3(C) & l3_lattices(C) & m1_subset_1(D,u1_struct_0(C)) & v4_lattice3(C) & v10_lattices(C) -> ((exists E (r2_hidden(E,B) & k4_lattices(C,D,E) = A & m1_subset_1(E,u1_struct_0(C)))) <-> r2_hidden(A,a_3_7_lattice3(B,C,D))))) # label(fraenkel_a_3_7_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11381 (all A all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (r1_lattice3(k3_lattice3(B),A,k4_lattice3(B,C)) <-> r3_lattice3(B,C,A)))))) # label(t28_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11382 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) <-> r3_orders_2(k3_lattice3(A),k4_lattice3(A,B),k4_lattice3(A,C))))))))) # label(t7_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11383 (all A all B all C (l3_lattices(B) & v4_lattice3(B) & v10_lattices(B) & -v3_struct_0(B) -> ((exists D (r4_lattice3(B,D,C) & D = A & m1_subset_1(D,u1_struct_0(B)))) <-> r2_hidden(A,a_2_2_lattice3(B,C))))) # label(fraenkel_a_2_2_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11384 (all A all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(k3_lattice3(B))) -> (r1_lattice3(k3_lattice3(B),A,C) <-> r3_lattice3(B,k5_lattice3(B,C),A)))))) # label(t29_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11385 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B k15_lattice3(A,a_2_1_lattice3(A,B)) = k16_lattice3(A,B)))) # label(d22_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11386 (all A (l1_orders_2(A) -> (v3_lattice3(A) <-> (all B exists C (m1_subset_1(C,u1_struct_0(A)) & r2_lattice3(A,B,C) & (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_lattice3(A,B,D) -> r1_orders_2(A,C,D))))))))) # label(d12_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11387 (all A ((exists B (m1_subset_1(B,f1_s2_lattice3) & k1_funct_1(f4_s2_lattice3,f3_s2_lattice3(B)) = A & p1_s2_lattice3(B))) <-> r2_hidden(A,a_0_2_lattice3))) # label(fraenkel_a_0_2_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11388 (all A (l1_orders_2(A) -> (v1_lattice3(A) -> -v3_struct_0(A)))) # label(cc1_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11389 (all A all B (v1_partfun1(B,A,A) & m1_relset_1(B,A,A) & v8_relat_2(B) & v4_relat_2(B) & v1_relat_2(B) -> k6_lattice3(A,B) = k4_relat_1(B))) # label(redefinition_k6_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11390 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) -> -v3_struct_0(A) & v14_lattices(A) & l3_lattices(A) & k15_lattice3(A,u1_struct_0(A)) = k6_lattices(A) & v10_lattices(A))) # label(t51_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11391 (exists A (v1_orders_2(A) & v3_orders_2(A) & v3_lattice3(A) & v4_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) & l1_orders_2(A))) # label(rc1_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11392 (all A all B all C (v2_lattice3(A) & l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v4_orders_2(A) -> k12_lattice3(A,C,B) = k12_lattice3(A,B,C))) # label(commutativity_k12_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11393 (all A (l1_orders_2(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (r1_orders_2(A,C,D) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,B,E) & r1_orders_2(A,C,E) -> r1_orders_2(A,D,E)))) & r1_orders_2(A,B,D) & m1_subset_1(D,u1_struct_0(A)))))))) <-> v1_lattice3(A)))) # label(d10_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11394 (all A all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(k3_lattice3(B))) -> (r2_lattice3(k3_lattice3(B),A,C) <-> r4_lattice3(B,k5_lattice3(B,C),A)))))) # label(t31_lattice3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11395 (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)) -> (v6_group_1(A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (k6_group_1(A,D,B) = C & m2_subset_1(D,k1_numbers,k5_numbers))))) <-> k5_group_4(A,k1_struct_0(A,B)) = A)))))) # label(t12_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11396 (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 (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (k9_group_1(A) = C & k2_nat_1(D,E) = C & A = k5_group_4(A,k1_struct_0(A,B)) & v6_group_1(A) -> k7_group_1(A,k6_group_1(A,D,B)) = E))))))))))) # label(t14_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11397 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) -> (k9_group_1(A) = np__2 & v6_group_1(A) -> v3_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & v4_group_1(A) & -v3_struct_0(A)))) # label(t27_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11398 $T # label(t4_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11399 $T # label(t5_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11400 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) -> v1_group_1(k10_group_5(A)) & v4_group_1(k10_group_5(A)) & v1_group_3(k10_group_5(A),A) & v3_group_1(k10_group_5(A)) & v2_group_1(k10_group_5(A)) & -v3_struct_0(k10_group_5(A)))) # label(fc1_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11401 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (C = D -> 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]. 188.77/188.11 11402 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & v1_group_1(B) -> (all C (l1_group_1(C) & v4_group_1(C) & v3_group_1(C) & v1_group_1(C) & -v3_struct_0(C) -> (A = k9_group_1(B) & k9_group_1(C) = A & v1_int_2(A) & v6_group_1(C) & v6_group_1(B) -> r2_group_6(B,C)))))))) # label(t24_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11403 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v4_group_1(B) & v1_group_1(B) -> (k9_group_1(A) = np__2 & k9_group_1(B) = np__2 & v6_group_1(B) & v6_group_1(A) -> r2_group_6(A,B)))))) # label(t25_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11404 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v1_gr_cy_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 -> (v6_group_1(A) <-> (exists C (v1_int_1(C) & (exists D (k6_group_1(A,D,B) = k6_group_1(A,C,B) & D != C & v1_int_1(D))))))))))) # label(t20_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11405 (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) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (v6_group_1(A) & r1_rlvect_1(k5_group_4(A,k1_struct_0(A,k6_group_1(A,C,B))),k6_group_1(A,D,B)) & 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_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]. 188.77/188.11 11406 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (-r1_xreal_0(A,np__0) -> (all B (m1_subset_1(B,u1_struct_0(k5_gr_cy_1(A))) -> k1_gr_cy_2(A,B) = B))))) # label(d1_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11407 $T # label(t3_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11408 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (A = k5_group_4(A,k1_struct_0(A,B)) -> (all C (v3_group_1(C) & v4_group_1(C) & l1_group_1(C) & -v3_struct_0(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]. 188.77/188.11 11409 $T # label(t2_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11410 (all A (v1_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v1_group_1(B) & v1_gr_cy_1(B) & l1_group_1(B) & v4_group_1(B) & v3_group_1(B) -> (v6_group_1(B) & k9_group_1(B) = k9_group_1(A) & v6_group_1(A) -> r2_group_6(B,A)))))) # label(t23_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11411 (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 (m2_subset_1(D,k1_numbers,k5_numbers) -> -(np__0 = D & k6_group_1(A,D,C) = B & -r1_xreal_0(k7_group_1(A,B),np__1)))))))))) # label(t6_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11412 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (C = k6_group_1(A,D,B) & 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]. 188.77/188.11 11413 (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) & 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)) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) -> (-v3_struct_0(B) & l1_group_1(B) & v1_gr_cy_1(B) & v4_group_1(B) & v3_group_1(B) -> -v3_struct_0(k13_group_6(B,A,C)) & v4_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)) & v3_group_1(k13_group_6(B,A,C))))))))) # label(t32_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11414 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v6_group_1(A) & k5_group_4(A,k1_struct_0(A,B)) = A -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (exists D (r1_group_2(A,C,k5_group_4(A,k1_struct_0(A,k6_group_1(A,D,B)))) & m2_subset_1(D,k1_numbers,k5_numbers)))))))))) # label(t13_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.11 11415 (all A (-v3_struct_0(A) & v3_group_1(A) & v1_gr_cy_1(A) & l1_group_1(A) & v4_group_1(A) & v1_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]. 188.77/188.11 11416 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) -> (k9_group_1(A) = np__2 & v6_group_1(A) -> (all B (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]. 188.77/188.12 11417 (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) & v1_group_1(C) & v4_group_1(C) & l1_group_1(C) & v3_group_1(C) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (C = k5_group_4(C,k1_struct_0(C,D)) & k9_group_1(C) = A & v6_group_1(C) -> (C = k5_group_4(C,k1_struct_0(C,k6_group_1(C,B,D))) <-> np__1 = k6_nat_1(B,A))))))))))) # label(t18_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11418 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v1_group_1(B) & v3_group_1(B) & v1_gr_cy_1(B) & l1_group_1(B) & v4_group_1(B) -> -(v6_group_1(B) & (all C (m1_group_2(C,B) -> -(np__2 = k9_group_1(C) & v3_group_1(C) & v1_gr_cy_1(C) & l1_group_1(C) & v4_group_1(C) & -v3_struct_0(C)))) & (exists C (m2_subset_1(C,k1_numbers,k5_numbers) & k2_nat_1(np__2,C) = A)) & A = k9_group_1(B)))))) # label(t31_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11419 (all A (v1_group_1(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) & v1_group_1(B) -> (r2_group_6(A,B) -> -(v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & v1_gr_cy_1(B) & -v3_struct_0(B)) & -(v4_group_1(A) & l1_group_1(A) & v1_gr_cy_1(A) & v3_group_1(A) & -v3_struct_0(A)) | -v3_struct_0(A) & v1_gr_cy_1(A) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & v1_gr_cy_1(B) & -v3_struct_0(B) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A)))))) # label(t33_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11420 (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)) -> -v3_struct_0(k5_group_4(A,k1_struct_0(A,B))) & l1_group_1(k5_group_4(A,k1_struct_0(A,B))) & v1_gr_cy_1(k5_group_4(A,k1_struct_0(A,B))) & v4_group_1(k5_group_4(A,k1_struct_0(A,B))) & v3_group_1(k5_group_4(A,k1_struct_0(A,B))))))) # label(t10_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11421 $T # label(t1_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11422 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v1_group_1(B) & l1_group_1(B) & v1_gr_cy_1(B) & v4_group_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]. 188.77/188.12 11423 (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 (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) -> (k5_group_4(A,k1_struct_0(A,C)) = A & B = k5_group_4(A,k1_struct_0(A,k6_group_1(A,F,C))) & k9_group_1(B) = E & k9_group_1(A) = D & v6_group_1(A) -> r1_nat_1(D,k2_nat_1(F,E))))))))))))))) # label(t17_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11424 (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 (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]. 188.77/188.12 11425 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_rlvect_1(k5_group_4(A,k1_struct_0(A,B)),B))))) # label(t8_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11426 (all A (v4_group_1(A) & v1_gr_cy_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_rlvect_1(B,C) & A = k5_group_4(A,k1_struct_0(A,C)) -> g1_group_1(u1_struct_0(B),u1_group_1(B)) = g1_group_1(u1_struct_0(A),u1_group_1(A))))))))) # label(t19_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11427 $T # label(t7_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11428 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v4_group_1(B) & l1_group_1(B) & v3_group_1(B) & v1_group_1(B) -> (v6_group_1(B) & v4_group_1(B) & v1_gr_cy_1(B) & l1_group_1(B) & k9_group_1(B) = A & 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 (v1_group_1(D) & m1_group_2(D,B) -> -((all E (v1_group_1(E) & m1_group_2(E,B) -> (k9_group_1(E) = C -> r1_group_2(B,E,D)))) & C = k9_group_1(D)))))))))))) # label(t28_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11429 (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]. 188.77/188.12 11430 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) & v1_gr_cy_1(B) & v4_group_1(B) & v1_group_1(B) -> -(v6_group_1(B) & (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) -> C = D))) & k7_group_1(B,C) = np__2))) & (exists C (k2_nat_1(np__2,C) = A & m2_subset_1(C,k1_numbers,k5_numbers))) & k9_group_1(B) = A))))) # label(t30_gr_cy_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11431 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> (k6_cat_1(A,E,F) != k1_xboole_0 -> (all G (m1_cat_1(G,A,E,F) -> r2_nattra_1(B,C,k14_cat_2(A,B,C,D,E),k14_cat_2(A,B,C,D,F)) & m2_nattra_1(k7_funct_2(u1_cat_1(B),u2_cat_1(B),u2_cat_1(C),u6_cat_1(B),k3_isocat_2(A,B,C,D,G)),B,C,k14_cat_2(A,B,C,D,E),k14_cat_2(A,B,C,D,F))))))))))))))))) # label(t17_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11432 (all A all B all C (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & l1_cat_1(B) -> m2_cat_1(k7_isocat_2(A,B,C),k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))))) # label(dt_k7_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11433 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (all F (m2_nattra_1(F,A,k11_cat_2(B,C),D,E) -> k14_isocat_2(A,B,C,D,E,F) = k6_isocat_1(A,k11_cat_2(B,C),C,D,E,F,k9_isocat_2(B,C)))))))))))))) # label(d10_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11434 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) -> (all F (m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> (all G (m2_nattra_1(G,A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) -> (k6_isocat_2(A,B,C,D,E,F) = G <-> (all H (m2_relset_1(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) & v1_funct_2(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) & v1_funct_1(H) -> (r4_nattra_1(u1_cat_1(k11_cat_2(A,B)),u2_cat_1(C),k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C),F,H) -> (all I (m1_subset_1(I,u1_cat_1(A)) -> k4_tarski(k12_cat_2(k12_nattra_1(B,C),k12_nattra_1(B,C),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),I),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,E),I)),k1_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),k1_fraenkel(u1_cat_1(B),u2_cat_1(C)),k2_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),H),I)) = k5_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),G,I)))))))))))))))))))))) # label(d5_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11435 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,A,k12_nattra_1(B,C)) -> ((all F (m1_subset_1(F,u2_cat_1(A)) -> k4_tarski(k4_tarski(k14_cat_2(A,B,C,D,k2_cat_1(A,F)),k14_cat_2(A,B,C,D,k3_cat_1(A,F))),k4_isocat_2(A,B,C,D,F)) = k8_funct_2(u2_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),E,F))) <-> k5_isocat_2(A,B,C,D) = E))))))))))) # label(d4_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11436 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(C),u1_cat_1(B),u2_cat_1(C),k7_nattra_1(B,C,k14_cat_2(A,B,C,D,E)),k4_isocat_2(A,B,C,D,k10_cat_1(A,E))))))))))))) # label(t20_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11437 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,B,C) -> (r2_nattra_1(A,B,D,E) -> (all G (m2_nattra_1(G,A,B,D,E) -> k6_isocat_1(A,B,C,D,E,G,F) = k5_relat_1(G,F)))))))))))))))) # label(t35_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11438 (all A all B all C all D all E all F (v2_cat_1(A) & l1_cat_1(B) & l1_cat_1(C) & m2_cat_1(D,A,k11_cat_2(B,C)) & m2_cat_1(E,A,k11_cat_2(B,C)) & m2_nattra_1(F,A,k11_cat_2(B,C),D,E) & v2_cat_1(C) & v2_cat_1(B) & l1_cat_1(A) -> m2_nattra_1(k14_isocat_2(A,B,C,D,E,F),A,C,k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E)))) # label(dt_k14_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11439 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B all C r1_isocat_1(k12_nattra_1(k8_cat_1(B,C),A),A)))) # label(t11_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11440 (all A all B all C (v2_cat_1(B) & m1_subset_1(C,u1_cat_1(A)) & l1_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k2_isocat_2(A,B,C),k12_nattra_1(A,B),B))) # label(dt_k2_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11441 (all A all B all C all D (l1_cat_1(A) & l1_cat_1(B) & l1_cat_1(C) & m2_cat_1(D,k11_cat_2(A,B),C) & v2_cat_1(C) & v2_cat_1(B) & v2_cat_1(A) -> m2_cat_1(k5_isocat_2(A,B,C,D),A,k12_nattra_1(B,C)))) # label(dt_k5_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11442 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,C) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> (k6_cat_1(A,F,G) != k1_xboole_0 -> (all H (m1_cat_1(H,A,F,G) -> k13_cat_2(B,C,k3_nattra_1(A,B,D,F,G,H),k3_nattra_1(A,C,E,F,G,H)) = k3_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,E),F,G,H)))))))))))))))))) # label(t42_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11443 (all A all B (-v1_xboole_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,k1_tarski(A),B) & m2_relset_1(C,k1_tarski(A),B) -> (all D (v1_funct_1(D) & m2_relset_1(D,k1_tarski(A),B) & v1_funct_2(D,k1_tarski(A),B) -> (k1_funct_1(C,A) = k1_funct_1(D,A) -> r4_nattra_1(k1_tarski(A),B,k1_tarski(A),B,C,D)))))))) # label(t3_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11444 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (r2_nattra_1(A,k11_cat_2(B,C),D,E) -> r2_nattra_1(A,B,k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E)) & r2_nattra_1(A,C,k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E))))))))))))) # label(t38_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11445 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,C) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k13_cat_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,E),F) = k12_cat_2(B,C,k13_cat_1(A,B,D,F),k13_cat_1(A,C,E,F)))))))))))))) # label(t43_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11446 (all A all B all C all D all E all F (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_nattra_1(F,k11_cat_2(A,B),C,D,E) & m2_cat_1(E,k11_cat_2(A,B),C) & m2_cat_1(D,k11_cat_2(A,B),C) & l1_cat_1(C) & v2_cat_1(C) -> m2_nattra_1(k6_isocat_2(A,B,C,D,E,F),A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)))) # label(dt_k6_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11447 (all A all B all C all D all E all F all G all H all I (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(C) & m2_cat_1(E,A,B) & m2_cat_1(F,A,C) & m2_cat_1(G,A,C) & m1_nattra_1(H,A,B,D,E) & m1_nattra_1(I,A,C,F,G) & m2_cat_1(D,A,B) & l1_cat_1(C) & v2_cat_1(B) -> m1_nattra_1(k15_isocat_2(A,B,C,D,E,F,G,H,I),A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G)))) # label(dt_k15_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11448 (all A all B all C all D (-v1_xboole_0(B) & m1_relset_1(D,A,k1_fraenkel(B,C)) & v1_funct_2(D,A,k1_fraenkel(B,C)) & v1_funct_1(D) & -v1_xboole_0(C) & -v1_xboole_0(A) -> k1_isocat_2(A,B,C,D) = k4_funct_5(D))) # label(redefinition_k1_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11449 (all A all B all C all D all E (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(C) & m2_cat_1(D,A,B) & m2_cat_1(E,A,C) & v2_cat_1(C) & l1_cat_1(B) -> m2_cat_1(k10_isocat_2(A,B,C,D,E),A,k11_cat_2(B,C)))) # label(dt_k10_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11450 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_1(D) & v1_funct_2(D,A,k1_fraenkel(B,C)) & m1_relset_1(D,A,k1_fraenkel(B,C)) & -v1_xboole_0(C) & -v1_xboole_0(B) -> m2_relset_1(k1_isocat_2(A,B,C,D),k2_zfmisc_1(A,B),C) & v1_funct_2(k1_isocat_2(A,B,C,D),k2_zfmisc_1(A,B),C) & v1_funct_1(k1_isocat_2(A,B,C,D)))) # label(dt_k1_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11451 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (k1_xboole_0 != k6_cat_1(k11_cat_2(A,B),k12_cat_2(A,B,C,E),k12_cat_2(A,B,D,F)) -> (all G (m1_subset_1(G,u2_cat_1(A)) -> (all H (m1_subset_1(H,u2_cat_1(B)) -> (m1_cat_1(G,A,C,D) & m1_cat_1(H,B,E,F) <-> m1_cat_1(k13_cat_2(A,B,G,H),k11_cat_2(A,B),k12_cat_2(A,B,C,E),k12_cat_2(A,B,D,F)))))))))))))))))))) # label(t14_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11452 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> B = k4_cat_1(A,B,k10_cat_1(A,k3_cat_1(A,B))))))) # label(t6_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11453 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k12_nattra_1(B,C)) -> (exists E (r4_nattra_1(u2_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u2_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),D,k5_isocat_2(A,B,C,E)) & m2_cat_1(E,k11_cat_2(A,B),C))))))))))) # label(t31_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11454 (all A all B all C all D (v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,k11_cat_2(B,C)) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) & v2_cat_1(A) -> m2_cat_1(k12_isocat_2(A,B,C,D),A,C))) # label(dt_k12_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11455 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (k1_xboole_0 != k6_cat_1(A,C,D) & k1_xboole_0 != k6_cat_1(B,E,F) <-> k6_cat_1(k11_cat_2(A,B),k12_cat_2(A,B,C,E),k12_cat_2(A,B,D,F)) != k1_xboole_0))))))))))))) # label(t13_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11456 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))) -> (k17_isocat_2(A,B,C) = D <-> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (all F (m2_cat_1(F,A,k11_cat_2(B,C)) -> (r2_nattra_1(A,k11_cat_2(B,C),E,F) -> (all G (m2_nattra_1(G,A,k11_cat_2(B,C),E,F) -> k4_tarski(k4_tarski(k4_tarski(k11_isocat_2(A,B,C,E),k11_isocat_2(A,B,C,F)),k13_isocat_2(A,B,C,E,F,G)),k4_tarski(k4_tarski(k12_isocat_2(A,B,C,E),k12_isocat_2(A,B,C,F)),k14_isocat_2(A,B,C,E,F,G))) = k1_funct_1(D,k4_tarski(k4_tarski(E,F),G)))))))))))))))))) # label(d13_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11457 (all A all B all C all D all E (l1_cat_1(A) & v2_cat_1(C) & m1_subset_1(E,u2_cat_1(A)) & m2_cat_1(D,k11_cat_2(A,B),C) & l1_cat_1(C) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> m2_nattra_1(k4_isocat_2(A,B,C,D,E),B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,E)),k14_cat_2(A,B,C,D,k3_cat_1(A,E))))) # label(dt_k4_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11458 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_2(D,A,k2_zfmisc_1(B,C)) & m2_relset_1(D,A,k2_zfmisc_1(B,C)) & v1_funct_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,A,k2_zfmisc_1(B,C)) & v1_funct_2(E,A,k2_zfmisc_1(B,C)) -> (r4_nattra_1(A,B,A,B,k7_funct_2(A,k2_zfmisc_1(B,C),B,D,k9_funct_3(B,C)),k7_funct_2(A,k2_zfmisc_1(B,C),B,E,k9_funct_3(B,C))) & r4_nattra_1(A,C,A,C,k7_funct_2(A,k2_zfmisc_1(B,C),C,D,k10_funct_3(B,C)),k7_funct_2(A,k2_zfmisc_1(B,C),C,E,k10_funct_3(B,C))) -> r4_nattra_1(A,k2_zfmisc_1(B,C),A,k2_zfmisc_1(B,C),D,E)))))))))))) # label(t5_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11459 (all A all B (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> k8_isocat_2(A,B) = k16_cat_2(A,B))) # label(redefinition_k8_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11460 (all A all B (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) -> k9_isocat_2(A,B) = k17_cat_2(A,B))) # label(redefinition_k9_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11461 $T # label(t22_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11462 (all A all B all C (v2_cat_1(A) & v2_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & l1_cat_1(B) & l1_cat_1(A) -> m2_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))))) # label(dt_k17_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11463 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (all F (m2_cat_1(F,A,k11_cat_2(B,C)) -> (all G (m2_cat_1(G,A,k11_cat_2(B,C)) -> (r2_nattra_1(A,k11_cat_2(B,C),F,G) & r2_nattra_1(A,k11_cat_2(B,C),D,E) -> (all H (m2_nattra_1(H,A,k11_cat_2(B,C),D,E) -> (all I (m2_nattra_1(I,A,k11_cat_2(B,C),F,G) -> (r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k13_isocat_2(A,B,C,D,E,H),k13_isocat_2(A,B,C,F,G,I)) & r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k14_isocat_2(A,B,C,D,E,H),k14_isocat_2(A,B,C,F,G,I)) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(k11_cat_2(B,C)),u1_cat_1(A),u2_cat_1(k11_cat_2(B,C)),H,I))))))))))))))))))))) # label(t39_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11464 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r1_nattra_1(A,B,D,E) & r1_nattra_1(A,C,F,G) -> (all H (m1_nattra_1(H,A,B,D,E) -> (all I (m1_nattra_1(I,A,C,F,G) -> (all J (m1_subset_1(J,u1_cat_1(A)) -> k5_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G),k15_isocat_2(A,B,C,D,E,F,G,H,I),J) = k13_cat_2(B,C,k5_nattra_1(A,B,D,E,H,J),k5_nattra_1(A,C,F,G,I,J))))))))))))))))))))))) # label(t45_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11465 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r2_nattra_1(A,B,D,E) & r2_nattra_1(A,C,F,G) -> (all H (m2_nattra_1(H,A,B,D,E) -> (all I (m2_nattra_1(I,A,C,F,G) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k13_isocat_2(A,B,C,k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G),k16_isocat_2(A,B,C,D,E,F,G,H,I)),H) & r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k14_isocat_2(A,B,C,k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G),k16_isocat_2(A,B,C,D,E,F,G,H,I)),I)))))))))))))))))))) # label(t47_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11466 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r2_nattra_1(A,B,D,E) & r2_nattra_1(A,C,F,G) -> r2_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G))))))))))))))))) # label(t46_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11467 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))) -> (k7_isocat_2(A,B,C) = D <-> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (all F (m2_cat_1(F,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,E,F) -> (all G (m2_nattra_1(G,k11_cat_2(A,B),C,E,F) -> k4_tarski(k4_tarski(k5_isocat_2(A,B,C,E),k5_isocat_2(A,B,C,F)),k6_isocat_2(A,B,C,E,F,G)) = k1_funct_1(D,k4_tarski(k4_tarski(E,F),G)))))))))))))))))) # label(d6_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11468 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) -> (all F (m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> (exists G (m2_nattra_1(G,A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) & (all H (m2_relset_1(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) & v1_funct_2(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) & v1_funct_1(H) -> (r4_nattra_1(u1_cat_1(k11_cat_2(A,B)),u2_cat_1(C),k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C),F,H) -> (all I (m1_subset_1(I,u1_cat_1(A)) -> k4_tarski(k12_cat_2(k12_nattra_1(B,C),k12_nattra_1(B,C),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),I),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,E),I)),k1_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),k1_fraenkel(u1_cat_1(B),u2_cat_1(C)),k2_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),H),I)) = k5_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),G,I)))))))) & r2_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E))))))))))))))) # label(t27_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11469 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r1_nattra_1(A,B,D,E) & r1_nattra_1(A,C,F,G) -> r1_nattra_1(A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G))))))))))))))))) # label(t44_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11470 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> v8_cat_1(k17_isocat_2(A,B,C),k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))))))))) # label(t48_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11471 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m1_subset_1(C,A) -> (all D (v1_funct_2(D,A,B) & m2_relset_1(D,A,B) & v1_funct_1(D) -> r2_hidden(k8_funct_2(A,B,D,C),k2_relat_1(D)))))))))) # label(t4_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11472 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m2_cat_1(D,k12_nattra_1(A,B),B) -> ((all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,B) -> (all G (m2_nattra_1(G,A,B,E,F) -> (r2_nattra_1(A,B,E,F) -> k5_nattra_1(A,B,E,F,G,C) = k1_funct_1(D,k4_tarski(k4_tarski(E,F),G))))))))) <-> D = k2_isocat_2(A,B,C)))))))))) # label(d1_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11473 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k7_nattra_1(A,B,k11_isocat_2(A,B,C,D)),k13_isocat_2(A,B,C,D,D,k7_nattra_1(A,k11_cat_2(B,C),D))) & r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k7_nattra_1(A,C,k12_isocat_2(A,B,C,D)),k14_isocat_2(A,B,C,D,D,k7_nattra_1(A,k11_cat_2(B,C),D))))))))))) # label(t40_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11474 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> k13_cat_1(k11_cat_2(A,B),C,D,k12_cat_2(A,B,E,F)) = k13_cat_1(B,C,k14_cat_2(A,B,C,D,E),F))))))))))))) # label(t12_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11475 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m2_cat_1(C,A,B) <-> m1_subset_1(C,u1_cat_1(k12_nattra_1(A,B))))))))) # label(t8_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11476 (all A all B all C all D all E (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & m1_subset_1(E,u2_cat_1(A)) & m2_cat_1(D,k11_cat_2(A,B),C) & l1_cat_1(C) & l1_cat_1(A) -> v1_funct_2(k3_isocat_2(A,B,C,D,E),u2_cat_1(B),u2_cat_1(C)) & m2_relset_1(k3_isocat_2(A,B,C,D,E),u2_cat_1(B),u2_cat_1(C)) & v1_funct_1(k3_isocat_2(A,B,C,D,E)))) # label(dt_k3_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11477 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) -> (all F (m2_nattra_1(F,A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) -> (exists G (m2_nattra_1(G,k11_cat_2(A,B),C,D,E) & r4_nattra_1(u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),F,k6_isocat_2(A,B,C,D,E,G)))) & r2_nattra_1(k11_cat_2(A,B),C,D,E)))))))))))))) # label(t32_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11478 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) -> (all F (m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> r2_nattra_1(B,C,k14_cat_2(A,B,C,D,G),k14_cat_2(A,B,C,E,G)) & m2_nattra_1(k1_funct_1(k3_funct_5(F),G),B,C,k14_cat_2(A,B,C,D,G),k14_cat_2(A,B,C,E,G))))))))))))))))) # label(t15_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11479 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) -> (all F (m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> (all G (m2_nattra_1(G,k11_cat_2(A,B),C,D,E) -> (r4_nattra_1(u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),k6_isocat_2(A,B,C,D,E,F),k6_isocat_2(A,B,C,D,E,G)) -> r4_nattra_1(u1_cat_1(k11_cat_2(A,B)),u2_cat_1(C),u1_cat_1(k11_cat_2(A,B)),u2_cat_1(C),F,G))))))))))))))))) # label(t30_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11480 $T # label(t23_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11481 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (all F (m2_cat_1(F,A,k11_cat_2(B,C)) -> (r2_nattra_1(A,k11_cat_2(B,C),D,E) & r2_nattra_1(A,k11_cat_2(B,C),E,F) -> (all G (m2_nattra_1(G,A,k11_cat_2(B,C),D,E) -> (all H (m2_nattra_1(H,A,k11_cat_2(B,C),E,F) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(B),u1_cat_1(A),u2_cat_1(B),k13_isocat_2(A,B,C,D,F,k8_nattra_1(A,k11_cat_2(B,C),D,E,F,G,H)),k8_nattra_1(A,B,k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E),k11_isocat_2(A,B,C,F),k13_isocat_2(A,B,C,D,E,G),k13_isocat_2(A,B,C,E,F,H))) & r4_nattra_1(u1_cat_1(A),u2_cat_1(C),u1_cat_1(A),u2_cat_1(C),k14_isocat_2(A,B,C,D,F,k8_nattra_1(A,k11_cat_2(B,C),D,E,F,G,H)),k8_nattra_1(A,C,k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E),k12_isocat_2(A,B,C,F),k14_isocat_2(A,B,C,D,E,G),k14_isocat_2(A,B,C,E,F,H)))))))))))))))))))) # label(t41_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11482 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> k7_funct_2(u1_cat_1(B),u2_cat_1(B),u2_cat_1(C),u6_cat_1(B),k3_isocat_2(A,B,C,D,E)) = k4_isocat_2(A,B,C,D,E))))))))))) # label(d3_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11483 $T # label(t10_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11484 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,C) -> r4_nattra_1(u2_cat_1(A),u2_cat_1(C),u2_cat_1(A),u2_cat_1(C),k12_isocat_2(A,B,C,k10_isocat_2(A,B,C,D,E)),E) & r4_nattra_1(u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),k11_isocat_2(A,B,C,k10_isocat_2(A,B,C,D,E)),D))))))))))) # label(t36_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11485 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,k1_fraenkel(B,C)) & m2_relset_1(D,A,k1_fraenkel(B,C)) -> r4_nattra_1(A,k1_fraenkel(B,C),A,k1_fraenkel(B,C),k2_cat_2(A,B,C,k1_isocat_2(A,B,C,D)),D))))))))) # label(t1_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11486 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> k4_cat_1(A,k10_cat_1(A,k2_cat_1(A,B)),B) = B)))) # label(t7_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11487 (all A all B (v2_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & l1_cat_1(A) -> m2_cat_1(k9_isocat_2(A,B),k11_cat_2(A,B),B))) # label(dt_k9_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11488 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> m2_cat_1(k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),E),B,C))))))))))) # label(t25_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11489 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (all F (m1_subset_1(F,u2_cat_1(A)) -> (k2_cat_1(A,E) = k3_cat_1(A,F) -> (all G (m2_nattra_1(G,B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,F)),k14_cat_2(A,B,C,D,k2_cat_1(A,E))) -> (r4_nattra_1(u1_cat_1(B),u2_cat_1(C),u1_cat_1(B),u2_cat_1(C),G,k4_isocat_2(A,B,C,D,F)) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(C),u1_cat_1(B),u2_cat_1(C),k4_isocat_2(A,B,C,D,k4_cat_1(A,F,E)),k8_nattra_1(B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,F)),k14_cat_2(A,B,C,D,k2_cat_1(A,E)),k14_cat_2(A,B,C,D,k3_cat_1(A,E)),G,k4_isocat_2(A,B,C,D,E))))))))))))))))))) # label(t21_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11490 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r4_nattra_1(u2_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u2_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) -> r4_nattra_1(u2_cat_1(k11_cat_2(A,B)),u2_cat_1(C),u2_cat_1(k11_cat_2(A,B)),u2_cat_1(C),D,E)))))))))))) # label(t26_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11491 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> k2_isocat_1(A,k11_cat_2(B,C),C,D,k9_isocat_2(B,C)) = k12_isocat_2(A,B,C,D))))))))) # label(d8_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11492 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> r1_isocat_1(k12_nattra_1(A,k11_cat_2(B,C)),k11_cat_2(k12_nattra_1(A,B),k12_nattra_1(A,C))))))))) # label(t49_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11493 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (r4_nattra_1(u2_cat_1(A),u2_cat_1(C),u2_cat_1(A),u2_cat_1(C),k12_isocat_2(A,B,C,D),k12_isocat_2(A,B,C,E)) & r4_nattra_1(u2_cat_1(A),u2_cat_1(B),u2_cat_1(A),u2_cat_1(B),k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E)) -> r4_nattra_1(u2_cat_1(A),u2_cat_1(k11_cat_2(B,C)),u2_cat_1(A),u2_cat_1(k11_cat_2(B,C)),D,E)))))))))))) # label(t37_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11494 (all A all B all C all D all E all F all G all H all I (v2_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(D,A,B) & m2_cat_1(E,A,B) & m2_cat_1(F,A,C) & m2_nattra_1(I,A,C,F,G) & m2_nattra_1(H,A,B,D,E) & m2_cat_1(G,A,C) & l1_cat_1(C) & v2_cat_1(C) & l1_cat_1(A) -> m2_nattra_1(k16_isocat_2(A,B,C,D,E,F,G,H,I),A,k11_cat_2(B,C),k10_isocat_2(A,B,C,D,F),k10_isocat_2(A,B,C,E,G)))) # label(dt_k16_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11495 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> k14_cat_2(A,B,C,D,E) = k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),E))))))))))) # label(t24_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11496 (all A all B (l1_cat_1(A) & l1_cat_1(B) & v2_cat_1(B) & v2_cat_1(A) -> m2_cat_1(k8_isocat_2(A,B),k11_cat_2(A,B),A))) # label(dt_k8_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11497 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> k8_funct_2(u2_cat_1(k11_cat_2(A,B)),u2_cat_1(C),D,k13_cat_2(A,B,E,k10_cat_1(B,F))) = k5_nattra_1(B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,E)),k14_cat_2(A,B,C,D,k3_cat_1(A,E)),k4_isocat_2(A,B,C,D,E),F))))))))))))) # label(t19_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11498 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r2_nattra_1(A,C,F,G) & r2_nattra_1(A,B,D,E) -> (all H (m2_nattra_1(H,A,B,D,E) -> (all I (m2_nattra_1(I,A,C,F,G) -> k15_isocat_2(A,B,C,D,E,F,G,H,I) = k16_isocat_2(A,B,C,D,E,F,G,H,I)))))))))))))))))))) # label(d12_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11499 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> k1_funct_1(k3_funct_5(D),E) = k3_isocat_2(A,B,C,D,E))))))))))) # label(d2_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11500 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_cat_1(F,A,C) -> (all G (m2_cat_1(G,A,C) -> (r1_nattra_1(A,C,F,G) & r1_nattra_1(A,B,D,E) -> (all H (m1_nattra_1(H,A,B,D,E) -> (all I (m1_nattra_1(I,A,C,F,G) -> k15_isocat_2(A,B,C,D,E,F,G,H,I) = k14_funct_3(u1_cat_1(A),u2_cat_1(B),u2_cat_1(C),H,I)))))))))))))))))))) # label(d11_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11501 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & l1_cat_1(B) & l1_cat_1(C) & m2_cat_1(D,A,k11_cat_2(B,C)) & v2_cat_1(C) & v2_cat_1(B) -> m2_cat_1(k11_isocat_2(A,B,C,D),A,B))) # label(dt_k11_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.12 11502 (all A all B all C all D all E (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(E,A,C) & m2_cat_1(D,A,B) & l1_cat_1(C) & v2_cat_1(C) -> k13_funct_3(D,E) = k10_isocat_2(A,B,C,D,E))) # label(redefinition_k10_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11503 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> r2_nattra_1(B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,E)),k14_cat_2(A,B,C,D,k3_cat_1(A,E))))))))))))) # label(t18_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11504 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (all F (m2_cat_1(F,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) & r2_nattra_1(k11_cat_2(A,B),C,E,F) -> (all G (m2_nattra_1(G,k11_cat_2(A,B),C,D,E) -> (all H (m2_nattra_1(H,k11_cat_2(A,B),C,E,F) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),k6_isocat_2(A,B,C,D,F,k8_nattra_1(k11_cat_2(A,B),C,D,E,F,G,H)),k8_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),k5_isocat_2(A,B,C,F),k6_isocat_2(A,B,C,D,E,G),k6_isocat_2(A,B,C,E,F,H)))))))))))))))))))) # label(t29_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11505 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_subset_1(E,u1_cat_1(B)) -> (all F (m1_subset_1(F,u1_cat_1(B)) -> (all G (m1_subset_1(G,u2_cat_1(A)) -> (all H (m1_subset_1(H,u2_cat_1(B)) -> (r2_hidden(G,k6_cat_1(A,C,D)) & r2_hidden(H,k6_cat_1(B,E,F)) -> r2_hidden(k13_cat_2(A,B,G,H),k6_cat_1(k11_cat_2(A,B),k12_cat_2(A,B,C,E),k12_cat_2(A,B,D,F)))))))))))))))))))) # label(t16_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11506 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),k7_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D)),k6_isocat_2(A,B,C,D,D,k7_nattra_1(k11_cat_2(A,B),C,D))))))))))) # label(t28_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11507 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (m1_subset_1(C,u2_cat_1(k12_nattra_1(A,B))) -> (exists D ((exists E (m2_cat_1(E,A,B) & (exists F (m2_nattra_1(F,A,B,D,E) & E = k3_cat_1(k12_nattra_1(A,B),C) & k4_tarski(k4_tarski(D,E),F) = C & k2_cat_1(k12_nattra_1(A,B),C) = D & r2_nattra_1(A,B,D,E))))) & m2_cat_1(D,A,B))))))))) # label(t9_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11508 (all A all B all C all D all E all F (l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,A,k11_cat_2(B,C)) & m2_cat_1(E,A,k11_cat_2(B,C)) & m2_nattra_1(F,A,k11_cat_2(B,C),D,E) & v2_cat_1(A) -> m2_nattra_1(k13_isocat_2(A,B,C,D,E,F),A,B,k11_isocat_2(A,B,C,D),k11_isocat_2(A,B,C,E)))) # label(dt_k13_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11509 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> v8_cat_1(k7_isocat_2(A,B,C),k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))))))))) # label(t33_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11510 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,A,k1_fraenkel(B,C)) & v1_funct_2(D,A,k1_fraenkel(B,C)) -> (all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> k1_funct_1(k1_isocat_2(A,B,C,D),k4_tarski(E,F)) = k8_funct_2(B,C,k1_cat_2(A,B,C,k1_fraenkel(B,C),D,E),F))))))))))))) # label(t2_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11511 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> r1_isocat_1(k12_nattra_1(k11_cat_2(A,B),C),k12_nattra_1(A,k12_nattra_1(B,C))))))))) # label(t34_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11512 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (l1_cat_1(B) & v2_cat_1(B) -> (all C (l1_cat_1(C) & v2_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> k2_isocat_1(A,k11_cat_2(B,C),B,D,k8_isocat_2(B,C)) = k11_isocat_2(A,B,C,D))))))))) # label(d7_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11513 (all A (l1_cat_1(A) & v2_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,A,k11_cat_2(B,C)) -> (all E (m2_cat_1(E,A,k11_cat_2(B,C)) -> (all F (m2_nattra_1(F,A,k11_cat_2(B,C),D,E) -> k13_isocat_2(A,B,C,D,E,F) = k6_isocat_1(A,k11_cat_2(B,C),B,D,E,F,k8_isocat_2(B,C)))))))))))))) # label(d9_isocat_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11514 (all A (-v3_struct_0(A) & v5_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v2_pre_topc(B) & v5_tdlat_3(B) & v4_tdlat_3(B)))))) # label(cc15_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11515 (all A (l1_pre_topc(A) -> (k1_pcomps_1(u1_struct_0(A)) = k2_tarski(k1_xboole_0,u1_struct_0(A)) & r2_hidden(u1_struct_0(A),u1_pre_topc(A)) & r2_hidden(k1_xboole_0,u1_pre_topc(A)) -> v1_tdlat_3(A) & v2_tdlat_3(A)))) # label(t13_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11516 (all A (l1_pre_topc(A) -> (v2_tdlat_3(A) & v1_tdlat_3(A) -> k2_tarski(k1_xboole_0,u1_struct_0(A)) = k1_pcomps_1(u1_struct_0(A))))) # label(t12_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11517 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v1_tsep_1(B,A) & v3_tdlat_3(B) & v1_tdlat_3(B) & v1_borsuk_1(B,A))))) # label(rc4_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11518 (all A (v2_pre_topc(A) & v4_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> k4_tdlat_1(A) = k8_tdlat_1(A))) # label(t43_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11519 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) -> v4_pre_topc(B,A) & v3_pre_topc(B,A)))) <-> v4_tdlat_3(A)))) # label(t34_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11520 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (v4_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) & u1_struct_0(A) = k4_subset_1(u1_struct_0(A),B,C) & v4_pre_topc(B,A) -> k4_subset_1(u1_struct_0(A),k1_tops_1(A,B),k1_tops_1(A,C)) = u1_struct_0(A))))))))) # label(t31_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11521 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_tarski(C) = B -> v3_pre_topc(k6_pre_topc(A,B),A)))))) -> v3_tdlat_3(A)))) # label(t27_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11522 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (v4_tdlat_3(A) <-> v17_lattices(k4_tdlat_1(A)) & l3_lattices(k4_tdlat_1(A)) & v10_lattices(k4_tdlat_1(A)) & -v3_struct_0(k4_tdlat_1(A))))) # label(t55_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11523 (all A (l1_pre_topc(A) & v2_tdlat_3(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,u1_pre_topc(A)) -> r2_hidden(k4_xboole_0(u1_struct_0(A),B),u1_pre_topc(A))))))) # label(t15_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11524 (exists A (l1_pre_topc(A) & -v3_struct_0(A) & v1_pre_topc(A) & v2_tdlat_3(A) & v1_tdlat_3(A))) # label(rc1_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11525 (all A (v1_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r2_hidden(k4_xboole_0(u1_struct_0(A),B),u1_pre_topc(A)))))) # label(t14_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11526 (all A (l1_pre_topc(A) -> (-v3_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) -> v2_pre_topc(A) & v5_tdlat_3(A) & -v3_struct_0(A)))) # label(cc13_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11527 (all A (v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & v2_pre_topc(B) & v3_tdlat_3(B) & v1_pre_topc(B) & -v3_struct_0(B))))) # label(rc7_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11528 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (v2_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(B != u1_struct_0(A) & k1_xboole_0 != B & v3_pre_topc(B,A))))))) # label(t20_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11529 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v3_pre_topc(B,A))) <-> v1_tdlat_3(A)))) # label(t17_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11530 (all A (l1_pre_topc(A) & v4_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & v2_pre_topc(B) & v4_tdlat_3(B) & v1_pre_topc(B) & -v3_struct_0(B))))) # label(rc10_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11531 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (v4_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v6_tops_1(B,A) -> v5_tops_1(B,A)) & (v5_tops_1(B,A) -> v6_tops_1(B,A))))))) # label(t38_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11532 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (k4_tdlat_1(A) = k12_tdlat_1(A) -> v4_tdlat_3(A)))) # label(t53_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11533 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v4_pre_topc(B,A))) <-> v1_tdlat_3(A)))) # label(t18_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11534 (all A (-v3_struct_0(A) & v2_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (v3_tdlat_3(B) & v2_tdlat_3(B) & v2_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc5_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11535 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> v2_pre_topc(B) & v1_borsuk_1(B,A) & v3_tdlat_3(B) & v1_tdlat_3(B) & v1_tsep_1(B,A))))) # label(cc5_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11536 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> k6_pre_topc(A,B) = k1_tops_1(A,k6_pre_topc(A,B))))) <-> v4_tdlat_3(A)))) # label(t32_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11537 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) & r1_tarski(k6_pre_topc(A,k1_tops_1(A,B)),k1_tops_1(A,k6_pre_topc(A,B))) -> v4_pre_topc(B,A) & v3_pre_topc(B,A)))))) # label(t10_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11538 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(A,k3_subset_1(u1_struct_0(A),B)) = k3_subset_1(u1_struct_0(A),k1_tops_1(A,B)))))) # label(t3_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11539 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v4_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(k4_tdlat_1(A))) -> (all C (m1_subset_1(C,u1_struct_0(k4_tdlat_1(A))) -> (all D (m1_subset_1(D,k1_tdlat_1(A)) -> (all E (m1_subset_1(E,k1_tdlat_1(A)) -> (D = B & C = E -> k2_xboole_0(D,E) = k3_lattices(k4_tdlat_1(A),B,C) & k4_lattices(k4_tdlat_1(A),B,C) = k3_xboole_0(D,E)))))))))))) # label(t48_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11540 $T # label(t5_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11541 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> k6_pre_topc(A,k1_tops_1(A,B)) = k1_tops_1(A,B)))) <-> v4_tdlat_3(A)))) # label(t33_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11542 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> ((all B (-v3_struct_0(B) & v1_borsuk_1(B,A) & m1_pre_topc(B,A) -> v4_tdlat_3(B))) -> v5_tdlat_3(A)))) # label(t40_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11543 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v5_tdlat_3(A) -> (exists B (-v3_struct_0(B) & v2_pre_topc(B) & v5_tdlat_3(B) & v4_tdlat_3(B) & v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc11_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11544 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> B = k6_pre_topc(A,B)))) <-> v3_tdlat_3(A)))) # label(t25_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11545 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v4_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_tdlat_1(A)) -> (all C (m1_subset_1(C,k1_tdlat_1(A)) -> k1_binop_1(k2_tdlat_1(A),B,C) = k2_xboole_0(B,C) & k3_xboole_0(B,C) = k1_binop_1(k3_tdlat_1(A),B,C))))))) # label(t47_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11546 (all A (l1_pre_topc(A) -> (v1_tdlat_3(A) -> v3_tdlat_3(A)))) # label(cc3_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11547 (all A (l1_pre_topc(A) -> (v2_pre_topc(A) & v5_tdlat_3(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v2_pre_topc(A) & v4_tdlat_3(A)))) # label(cc12_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11548 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (k8_tdlat_1(A) = k4_tdlat_1(A) -> v4_tdlat_3(A)))) # label(t52_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11549 (exists A (v2_pre_topc(A) & v1_tdlat_3(A) & v3_tdlat_3(A) & v2_tdlat_3(A) & v1_pre_topc(A) & -v3_struct_0(A) & l1_pre_topc(A))) # label(rc3_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11550 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k6_pre_topc(A,B) = k1_tops_1(A,B) <-> v3_pre_topc(B,A) & v4_pre_topc(B,A)))))) # label(t7_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11551 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(A) = k4_subset_1(u1_struct_0(A),B,C) -> (v4_pre_topc(B,A) -> u1_struct_0(A) = k4_subset_1(u1_struct_0(A),B,k1_tops_1(A,C))) & (v4_pre_topc(C,A) -> k4_subset_1(u1_struct_0(A),k1_tops_1(A,B),C) = u1_struct_0(A))))))))) # label(t6_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11552 (all A (v2_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> v3_tdlat_3(B) & v2_tdlat_3(B) & v2_pre_topc(B))))) # label(cc6_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11553 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(B,A) & k1_xboole_0 != B & B != u1_struct_0(A)))) <-> v2_tdlat_3(A)))) # label(t21_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11554 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_tops_1(A,k3_subset_1(u1_struct_0(A),B)) = k3_subset_1(u1_struct_0(A),k6_pre_topc(A,B)))))) # label(t4_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11555 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (B = k1_tarski(C) -> u1_struct_0(A) = k6_pre_topc(A,B)))))) -> v2_tdlat_3(A)))) # label(t22_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11556 (all A (l1_pre_topc(A) -> (v3_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,u1_pre_topc(A)) -> r2_hidden(k4_xboole_0(u1_struct_0(A),B),u1_pre_topc(A)))))))) # label(d3_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11557 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) -> v6_tops_1(B,A) & v5_tops_1(B,A)))) <-> v4_tdlat_3(A)))) # label(t35_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11558 (all A (l1_pre_topc(A) -> (v1_tdlat_3(A) <-> u1_pre_topc(A) = k1_pcomps_1(u1_struct_0(A))))) # label(d1_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11559 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (v4_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> v4_pre_topc(k1_tops_1(A,B),A))))))) # label(t29_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11560 (all A (l1_pre_topc(A) -> (v1_tdlat_3(A) -> v2_pre_topc(A)))) # label(cc1_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11561 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (v3_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> v4_pre_topc(B,A))))))) # label(t23_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11562 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v4_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tsep_1(B,A) & -v3_struct_0(B) -> v2_pre_topc(B) & v4_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc14_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11563 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (k12_tdlat_1(A) = k8_tdlat_1(A) -> v4_tdlat_3(A)))) # label(t54_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11564 (all A (l1_pre_topc(A) -> (v2_tdlat_3(A) <-> u1_pre_topc(A) = k2_tarski(k1_xboole_0,u1_struct_0(A))))) # label(d2_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11565 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) -> k1_tops_1(A,B) = k1_tops_1(A,k6_pre_topc(A,B)) & k6_pre_topc(A,k1_tops_1(A,B)) = k6_pre_topc(A,B)))))) # label(t11_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11566 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (v4_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> v3_pre_topc(k6_pre_topc(A,B),A))))))) # label(d4_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11567 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (k1_pcomps_1(u1_struct_0(A)) = k2_tarski(k1_xboole_0,u1_struct_0(A)) -> v1_tdlat_3(A) & v2_tdlat_3(A)))) # label(t16_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11568 (all A (l1_pre_topc(A) -> (v2_tdlat_3(A) -> v2_pre_topc(A)))) # label(cc2_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11569 (all A (v4_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tdlat_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_tdlat_1(A)))) -> (C = B -> (k1_xboole_0 != C -> k16_lattice3(k4_tdlat_1(A),C) = k1_tops_1(A,k6_setfam_1(u1_struct_0(A),B))) & (k1_xboole_0 = C -> k16_lattice3(k4_tdlat_1(A),C) = k2_pre_topc(A)))))))))) # label(t50_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11570 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (v3_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> k1_tops_1(A,B) = B)))))) # label(t26_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11571 (all A (l1_pre_topc(A) -> (v2_tdlat_3(A) & v2_pre_topc(A) -> v2_pre_topc(A) & v3_tdlat_3(A)))) # label(cc8_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11572 (all A (l1_pre_topc(A) & v4_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> k2_tdlat_1(A) = k10_tdlat_1(A) & k11_tdlat_1(A) = k3_tdlat_1(A))) # label(t45_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11573 (exists A (-v3_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v5_tdlat_3(A) & l1_pre_topc(A))) # label(rc9_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11574 (exists A (v1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) & l1_pre_topc(A))) # label(rc6_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11575 $T # label(t1_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11576 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & v4_pre_topc(B,A) -> k1_tops_1(A,k6_pre_topc(A,B)) = k6_pre_topc(A,k1_tops_1(A,B))))))) # label(t8_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11577 (exists A (v3_tdlat_3(A) & v1_pre_topc(A) & l1_pre_topc(A))) # label(rc2_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11578 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v4_tdlat_3(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v1_tdlat_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k4_tdlat_1(A)))) -> (B = C -> k6_pre_topc(A,k5_setfam_1(u1_struct_0(A),B)) = k15_lattice3(k4_tdlat_1(A),C))))))))) # label(t49_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11579 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (v4_tdlat_3(A) <-> l3_lattices(k4_tdlat_1(A)) & v12_lattices(k4_tdlat_1(A)) & v10_lattices(k4_tdlat_1(A)) & -v3_struct_0(k4_tdlat_1(A))))) # label(t51_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11580 (all A (-v3_struct_0(A) & v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tsep_1(B,A) -> v1_borsuk_1(B,A) & v2_pre_topc(B)))))) # label(cc10_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11581 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(A,B) = k3_subset_1(u1_struct_0(A),k1_tops_1(A,k3_subset_1(u1_struct_0(A),B))))))) # label(t2_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11582 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (B = k1_tarski(C) -> v3_pre_topc(B,A)))))) -> v1_tdlat_3(A)))) # label(t19_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11583 (all A (l1_pre_topc(A) -> (v1_tdlat_3(A) & v2_pre_topc(A) -> v3_tdlat_3(A) & v2_pre_topc(A)))) # label(cc7_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11584 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (v4_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) -> k6_pre_topc(A,k1_tops_1(A,B)) = k1_tops_1(A,k6_pre_topc(A,B)))))))) # label(t36_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11585 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v4_tdlat_3(A) & v2_pre_topc(A) -> k4_tdlat_1(A) = k12_tdlat_1(A))) # label(t46_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11586 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (v4_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tops_1(B,A) -> k1_tops_1(A,B) = k6_pre_topc(A,B))))))) # label(t37_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11587 (exists A (-v3_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A) & v4_tdlat_3(A) & l1_pre_topc(A))) # label(rc8_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11588 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (v1_tdlat_3(A) <-> v3_tdlat_3(A) & (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k1_tarski(C) = B -> v4_pre_topc(B,A))))))))) # label(t28_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11589 (all A (v2_pre_topc(A) & v4_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> k5_tdlat_1(A) = k1_tdlat_1(A))) # label(t41_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11590 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v2_pre_topc(B) & v3_tdlat_3(B)))))) # label(cc9_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11591 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_borsuk_1(B,A) -> v1_tsep_1(B,A) & v2_pre_topc(B)))))) # label(cc11_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11592 (all A (l1_pre_topc(A) -> (v2_tdlat_3(A) -> v3_tdlat_3(A)))) # label(cc4_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11593 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (v5_tdlat_3(A) <-> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> v4_tdlat_3(B)))))) # label(d5_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11594 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v4_tdlat_3(A) & l1_pre_topc(A) -> k3_tdlat_1(A) = k7_tdlat_1(A) & k2_tdlat_1(A) = k6_tdlat_1(A))) # label(t42_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11595 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (v3_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> v3_pre_topc(B,A))))))) # label(t24_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11596 (all A (l1_pre_topc(A) & v4_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(C,A) & u1_struct_0(B) = C -> v4_tdlat_3(B)))))))) # label(t39_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11597 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (v4_tdlat_3(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_xboole_0(B,C) & v3_pre_topc(C,A) & v3_pre_topc(B,A) -> r1_xboole_0(k6_pre_topc(A,B),k6_pre_topc(A,C)))))))))) # label(t30_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11598 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v4_tdlat_3(A) -> k1_tdlat_1(A) = k9_tdlat_1(A))) # label(t44_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11599 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(k6_pre_topc(A,k1_tops_1(A,B)),k1_tops_1(A,k6_pre_topc(A,B))) & v4_tops_1(B,A) -> v6_tops_1(B,A) & v5_tops_1(B,A)))))) # label(t9_tdlat_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11600 (all A (-v3_struct_0(A) & v6_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) -> (all B (m2_finseq_1(B,k5_numbers) -> (B = k3_unialg_1(A) <-> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(B)) -> (all D (m2_relset_1(D,k13_finseq_1(u1_struct_0(A)),u1_struct_0(A)) & v1_unialg_1(D,u1_struct_0(A)) & v1_funct_1(D) & -v1_xboole_0(D) -> (D = k1_funct_1(u1_unialg_1(A),C) -> k1_funct_1(B,C) = k2_unialg_1(u1_struct_0(A),D))))))) & k3_finseq_1(u1_unialg_1(A)) = k3_finseq_1(B)))))) # label(d11_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11601 (all A (l1_unialg_1(A) & v7_unialg_1(A) -> v1_funct_1(u1_unialg_1(A)) & v1_finseq_1(u1_unialg_1(A)) & v5_unialg_1(u1_unialg_1(A),u1_struct_0(A)) & v1_relat_1(u1_unialg_1(A)))) # label(fc3_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11602 (all A (l1_unialg_1(A) & v6_unialg_1(A) -> v1_finseq_1(u1_unialg_1(A)) & v4_unialg_1(u1_unialg_1(A),u1_struct_0(A)) & v1_funct_1(u1_unialg_1(A)) & v1_relat_1(u1_unialg_1(A)))) # label(fc2_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11603 (all A all B (m2_finseq_1(B,k4_partfun1(k13_finseq_1(A),A)) -> (v4_unialg_1(B,A) <-> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (v1_funct_1(D) & m2_relset_1(D,k13_finseq_1(A),A) -> (D = k1_funct_1(B,C) & r2_hidden(C,k4_finseq_1(B)) -> v1_unialg_1(D,A))))))))) # label(d4_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11604 (all A all B (-v1_xboole_0(A) & m1_finseq_1(B,k4_partfun1(k13_finseq_1(A),A)) -> v3_unialg_1(g1_unialg_1(A,B)) & -v3_struct_0(g1_unialg_1(A,B)))) # label(fc1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11605 (all A (l1_unialg_1(A) -> (v8_unialg_1(A) <-> v2_relat_1(u1_unialg_1(A)) & k1_xboole_0 != u1_unialg_1(A)))) # label(d9_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11606 (all A all B (m1_finseq_1(B,k4_partfun1(k13_finseq_1(A),A)) -> v3_unialg_1(g1_unialg_1(A,B)) & l1_unialg_1(g1_unialg_1(A,B)))) # label(dt_g1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11607 (all A all B (m2_finseq_1(B,k4_partfun1(k13_finseq_1(A),A)) -> ((all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (v1_funct_1(D) & m2_relset_1(D,k13_finseq_1(A),A) -> (D = k1_funct_1(B,C) & r2_hidden(C,k4_finseq_1(B)) -> v2_unialg_1(D,A)))))) <-> v5_unialg_1(B,A)))) # label(d5_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11608 $T # label(d3_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11609 (all A all B (m2_relset_1(B,k13_finseq_1(A),A) & v1_funct_1(B) -> (v2_unialg_1(B,A) <-> (all C (m2_finseq_1(C,A) -> (all D (m2_finseq_1(D,A) -> (r2_hidden(C,k1_relat_1(B)) & k3_finseq_1(C) = k3_finseq_1(D) -> r2_hidden(D,k1_relat_1(B)))))))))) # label(d2_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11610 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (m1_subset_1(C,k4_partfun1(k13_finseq_1(A),A)) -> (C = k2_funcop_1(k1_tarski(k6_finseq_1(A)),B) -> v4_unialg_1(k1_unialg_1(A,C),A) & v5_unialg_1(k1_unialg_1(A,C),A) & v2_relat_1(k1_unialg_1(A,C))))))))) # label(t4_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11611 (all A all B (m2_relset_1(B,k13_finseq_1(A),A) & v1_funct_1(B) -> -(k1_relat_1(B) = k1_xboole_0 & -v1_xboole_0(B)) & -(k1_xboole_0 != k1_relat_1(B) & v1_xboole_0(B)))) # label(t1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11612 (all A all B (-v1_xboole_0(B) & v1_unialg_1(B,A) & m1_relset_1(B,k13_finseq_1(A),A) & v1_funct_1(B) & -v1_xboole_0(A) -> m2_subset_1(k2_unialg_1(A,B),k1_numbers,k5_numbers))) # label(dt_k2_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11613 (exists A (v6_unialg_1(A) & v7_unialg_1(A) & v8_unialg_1(A) & v3_unialg_1(A) & -v3_struct_0(A) & l1_unialg_1(A))) # label(rc5_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11614 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> v1_unialg_1(k2_funcop_1(k1_tarski(k6_finseq_1(A)),B),A) & v2_unialg_1(k2_funcop_1(k1_tarski(k6_finseq_1(A)),B),A) & m2_relset_1(k2_funcop_1(k1_tarski(k6_finseq_1(A)),B),k13_finseq_1(A),A) & v1_funct_1(k2_funcop_1(k1_tarski(k6_finseq_1(A)),B)) & -v1_xboole_0(k2_funcop_1(k1_tarski(k6_finseq_1(A)),B)))))) # label(t2_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11615 (all A (l1_unialg_1(A) & v8_unialg_1(A) -> v1_relat_1(u1_unialg_1(A)) & v2_relat_1(u1_unialg_1(A)) & v1_finseq_1(u1_unialg_1(A)) & v1_funct_1(u1_unialg_1(A)) & -v1_xboole_0(u1_unialg_1(A)))) # label(fc4_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11616 $T # label(d6_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11617 (all A all B (m1_finseq_1(B,k4_partfun1(k13_finseq_1(A),A)) -> (all C all D (g1_unialg_1(A,B) = g1_unialg_1(C,D) -> A = C & D = B)))) # label(free_g1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11618 (all A all B (m2_relset_1(B,k13_finseq_1(A),A) & v1_funct_1(B) -> (v1_unialg_1(B,A) <-> (all C (m2_finseq_1(C,A) -> (all D (m2_finseq_1(D,A) -> (r2_hidden(C,k1_relat_1(B)) & r2_hidden(D,k1_relat_1(B)) -> k3_finseq_1(C) = k3_finseq_1(D))))))))) # label(d1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11619 (all A (-v3_struct_0(A) & v6_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) -> m2_finseq_1(k3_unialg_1(A),k5_numbers))) # label(dt_k3_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11620 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,k4_partfun1(k13_finseq_1(A),A)) -> k1_unialg_1(A,B) = k5_finseq_1(B))) # label(redefinition_k1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11621 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> m1_subset_1(k2_funcop_1(k1_tarski(k6_finseq_1(A)),B),k4_partfun1(k13_finseq_1(A),A)))))) # label(t3_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11622 (all A (v8_unialg_1(A) & l1_unialg_1(A) & v6_unialg_1(A) & -v3_struct_0(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (r2_hidden(B,k4_finseq_1(u1_unialg_1(A))) -> m2_relset_1(k1_funct_1(u1_unialg_1(A),B),k13_finseq_1(u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(k1_funct_1(u1_unialg_1(A),B))))))) # label(t5_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11623 (all A (l1_unialg_1(A) -> (v3_unialg_1(A) -> g1_unialg_1(u1_struct_0(A),u1_unialg_1(A)) = A))) # label(abstractness_v3_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11624 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & v1_funct_1(B) & m2_relset_1(B,k13_finseq_1(A),A) & v1_unialg_1(B,A) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (k2_unialg_1(A,B) = C <-> (all D (m2_finseq_1(D,A) -> (r2_hidden(D,k1_relat_1(B)) -> k3_finseq_1(D) = C)))))))))) # label(d10_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11625 (all A (-v1_xboole_0(A) -> (exists B (m1_relset_1(B,k13_finseq_1(A),A) & v1_relat_1(B) & v1_unialg_1(B,A) & v2_unialg_1(B,A) & v1_funct_1(B) & -v1_xboole_0(B))))) # label(rc1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11626 (exists A (v3_unialg_1(A) & -v3_struct_0(A) & l1_unialg_1(A))) # label(rc3_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11627 (all A (-v1_xboole_0(A) -> (exists B (v4_unialg_1(B,A) & v5_unialg_1(B,A) & v1_finseq_1(B) & v1_funct_1(B) & v2_relat_1(B) & v1_relat_1(B) & m1_finseq_1(B,k4_partfun1(k13_finseq_1(A),A)))))) # label(rc4_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11628 (all A (l1_unialg_1(A) -> (v6_unialg_1(A) <-> v4_unialg_1(u1_unialg_1(A),u1_struct_0(A))))) # label(d7_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11629 (all A (l1_unialg_1(A) -> (v7_unialg_1(A) <-> v5_unialg_1(u1_unialg_1(A),u1_struct_0(A))))) # label(d8_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11630 (all A (l1_unialg_1(A) -> l1_struct_0(A))) # label(dt_l1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11631 (exists A (v3_unialg_1(A) & l1_unialg_1(A))) # label(rc2_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11632 (all A (l1_unialg_1(A) -> m2_finseq_1(u1_unialg_1(A),k4_partfun1(k13_finseq_1(u1_struct_0(A)),u1_struct_0(A))))) # label(dt_u1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11633 (exists A l1_unialg_1(A)) # label(existence_l1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11634 (all A all B (m1_subset_1(B,k4_partfun1(k13_finseq_1(A),A)) & -v1_xboole_0(A) -> m2_finseq_1(k1_unialg_1(A,B),k4_partfun1(k13_finseq_1(A),A)))) # label(dt_k1_unialg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11635 (exists A (l1_struct_0(A) & v1_monoid_0(A))) # label(rc1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11636 (all A (l1_group_1(A) -> (v3_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v13_monoid_0(A)))) # label(cc5_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11637 (all A (v1_vectsp_1(A) & m1_monoid_0(A,k10_monoid_0) & v1_vectsp_2(A) & -v3_struct_0(A) -> k11_monoid_0 = A)) # label(d32_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11638 (all A (-v1_xboole_0(A) -> k1_xboole_0 = k3_binop_1(u1_struct_0(k12_monoid_0(A)),u1_group_1(k12_monoid_0(A))))) # label(t69_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11639 (all A (m2_monoid_0(A,k5_monoid_0) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_numbers) -> (all E (m1_subset_1(E,k1_numbers) -> (D = B & E = C -> k9_binop_2(D,E) = k10_group_1(A,B,C)))))))))))) # label(t43_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11640 (exists A (l1_vectsp_1(A) & -v3_struct_0(A) & v2_group_1(A) & v1_vectsp_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v1_vectsp_2(A) & v1_monoid_0(A) & v2_monoid_0(A) & v11_monoid_0(A) & v14_monoid_0(A) & v15_monoid_0(A) & v17_monoid_0(A) & v16_monoid_0(A) & v13_monoid_0(A) & v12_monoid_0(A) & v10_monoid_0(A) & v7_group_1(A) & v4_group_1(A) & v3_group_1(A))) # label(rc4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11641 (all A (-v1_xboole_0(A) -> k12_monoid_0(A) = g1_group_1(k3_finseq_2(A),k14_monoid_0(A)))) # label(t68_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11642 (all A (v2_monoid_0(A) & l1_group_1(A) -> (all B (m1_monoid_0(B,A) -> v2_monoid_0(B) & v1_monoid_0(B))))) # label(cc15_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11643 (all A (-v3_struct_0(A) & v2_monoid_0(A) & l1_group_1(A) -> (all B (m2_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v1_monoid_0(B) & v2_monoid_0(B)))))) # label(cc24_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.13 11644 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v11_monoid_0(A) <-> v3_monoid_0(u1_group_1(A),u1_struct_0(A))))) # label(d14_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11645 (all A (l1_group_1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (k1_group_1(A,B,D) = C & m1_subset_1(D,u1_struct_0(A)))))))) <-> v12_monoid_0(A)))) # label(t11_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11646 (all A all B all C (m1_relset_1(B,A,A) & v3_funct_2(C,A,A) & m1_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) & v3_funct_2(B,A,A) & v1_funct_2(B,A,A) & v1_funct_1(B) -> k5_relat_1(B,C) = k3_monoid_0(A,B,C))) # label(redefinition_k3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11647 (all A (-v1_xboole_0(A) -> k3_finseq_2(A) = u1_struct_0(k13_monoid_0(A)) & u1_vectsp_1(k13_monoid_0(A)) = k1_xboole_0 & k14_monoid_0(A) = u1_group_1(k13_monoid_0(A)))) # label(t70_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11648 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,A) -> (v16_monoid_0(A) -> v16_monoid_0(B)))))) # label(t37_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11649 (all A (m1_subset_1(A,u1_struct_0(k6_monoid_0)) <-> v1_int_1(A))) # label(t47_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11650 (all A all B (m1_monoid_0(B,A) & l1_group_1(A) -> (exists C m4_monoid_0(C,A,B)))) # label(existence_m4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11651 (all A (l1_vectsp_1(A) -> (all B (l1_vectsp_1(B) -> (u1_vectsp_1(A) = u1_vectsp_1(B) & r1_tarski(u1_group_1(B),u1_group_1(A)) <-> m3_monoid_0(B,A)))))) # label(d25_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11652 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_monoid_0(B,A) -> -v3_struct_0(B))))) # label(cc13_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11653 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (r1_tarski(A,B) -> m2_monoid_0(k12_monoid_0(A),k12_monoid_0(B))))))) # label(t75_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11654 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v5_monoid_0(u1_group_1(A),u1_struct_0(A)) <-> v13_monoid_0(A)))) # label(d16_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11655 (all A (m1_struct_0(A,f1_s1_monoid_0,f2_s1_monoid_0) -> (all B (m1_struct_0(B,f1_s1_monoid_0,f2_s1_monoid_0) -> r2_hidden(k1_group_1(f1_s1_monoid_0,A,B),f2_s1_monoid_0))))) -> (exists A (v1_group_1(A) & f2_s1_monoid_0 = u1_struct_0(A) & m2_monoid_0(A,f1_s1_monoid_0) & -v3_struct_0(A))) # label(s1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11656 (all A (v7_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_monoid_0(B,A) -> v7_group_1(B) & -v3_struct_0(B))))) # label(cc18_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11657 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v6_monoid_0(u1_group_1(A),u1_struct_0(A)) <-> v14_monoid_0(A)))) # label(d17_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11658 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m2_monoid_0(B,A) & -v3_struct_0(B) -> (r2_hidden(k3_binop_1(u1_struct_0(A),u1_group_1(A)),u1_struct_0(B)) & v2_group_1(A) -> v2_group_1(B) & k3_binop_1(u1_struct_0(B),u1_group_1(B)) = k3_binop_1(u1_struct_0(A),u1_group_1(A))))))) # label(t32_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11659 (all A (l1_group_1(A) -> (exists B (m3_monoid_0(B,A) & v1_vectsp_1(B))))) # label(rc10_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11660 (all A (-v3_struct_0(A) & v2_monoid_0(A) & l1_group_1(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v2_monoid_0(B) & v1_monoid_0(B)))))) # label(cc25_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11661 (all A (l1_struct_0(A) -> (v2_monoid_0(A) -> v1_monoid_0(A)))) # label(cc2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11662 (all A (l1_vectsp_1(A) & -v3_struct_0(A) -> (r3_binop_1(u1_struct_0(A),u1_vectsp_1(A),u1_group_1(A)) <-> v1_vectsp_2(A)))) # label(d21_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11663 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,A) -> (v7_group_1(A) -> v7_group_1(B)))))) # label(t34_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11664 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,A) -> (v4_group_1(A) -> v4_group_1(B)))))) # label(t35_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11665 (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) -> (v7_monoid_0(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (k2_binop_1(A,A,A,B,E,C) = k2_binop_1(A,A,A,B,D,C) -> E = D)))))))))))) # label(d7_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11666 (all A (v2_group_1(A) & v17_monoid_0(A) & m2_monoid_0(A,k9_monoid_0) & v1_group_1(A) & -v3_struct_0(A) -> (A = k10_monoid_0 <-> k5_numbers = u1_struct_0(A)))) # label(d31_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11667 (all A (l1_vectsp_1(A) -> (-v3_struct_0(A) & v1_vectsp_2(A) -> -v3_struct_0(A) & v6_vectsp_1(A) & v8_vectsp_1(A) & v2_group_1(A)))) # label(cc12_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11668 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,A) -> (all C (m2_monoid_0(C,A) & -v3_struct_0(C) -> (u1_struct_0(B) = u1_struct_0(C) -> g1_group_1(u1_struct_0(B),u1_group_1(B)) = g1_group_1(u1_struct_0(C),u1_group_1(C))))))))) # label(t28_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11669 (all A (l1_vectsp_1(A) & v1_vectsp_2(A) & -v3_struct_0(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> v2_group_1(B) & v1_vectsp_2(B) & v8_vectsp_1(B) & v6_vectsp_1(B) & -v3_struct_0(B)))))) # label(cc26_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11670 (all A (l1_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> v1_funct_1(B) & v1_relat_1(B))) <-> v1_monoid_0(A)))) # label(d1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11671 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (v8_monoid_0(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (k2_binop_1(A,A,A,B,C,D) = k2_binop_1(A,A,A,B,C,E) | k2_binop_1(A,A,A,B,E,C) = k2_binop_1(A,A,A,B,D,C) -> E = D)))))))))))) # label(d8_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11672 (all A (v1_monoid_0(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v1_monoid_0(B)))))) # label(cc23_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11673 (all A (l1_group_1(A) -> (v2_monoid_0(A) -> v1_monoid_0(A)))) # label(cc3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11674 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m2_monoid_0(B,A) & -v3_struct_0(B) -> (all C (m3_monoid_0(C,A) & -v3_struct_0(C) -> r1_tarski(u1_struct_0(C),u1_struct_0(A)) & r1_tarski(u1_struct_0(B),u1_struct_0(A)))))))) # label(t25_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11675 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v14_monoid_0(A) & v15_monoid_0(A) -> v16_monoid_0(A) & -v3_struct_0(A)))) # label(cc10_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11676 (all A (m2_monoid_0(A,k9_monoid_0) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_numbers) -> (all E (m1_subset_1(E,k1_numbers) -> (B = D & E = C -> k11_binop_2(D,E) = k10_group_1(A,B,C)))))))))))) # label(t58_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11677 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v2_group_1(A) <-> (exists B ((all C (m1_subset_1(C,u1_struct_0(A)) -> C = k1_group_1(A,B,C) & k1_group_1(A,C,B) = C)) & m1_subset_1(B,u1_struct_0(A))))))) # label(t6_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11678 (all A (-v3_struct_0(A) & l1_group_1(A) -> (exists B (v1_group_1(B) & -v3_struct_0(B) & m2_monoid_0(B,A))))) # label(rc8_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11679 (all A (-v3_struct_0(A) & v16_monoid_0(A) & l1_group_1(A) -> (all B (m2_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v15_monoid_0(B) & v16_monoid_0(B) & v14_monoid_0(B)))))) # label(cc33_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11680 (all A all B all C (l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & -v3_struct_0(A) -> k4_monoid_0(A,B,C) = k1_group_1(A,B,C))) # label(redefinition_k4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11681 (all A (l1_struct_0(A) -> (v1_fraenkel(u1_struct_0(A)) -> v1_monoid_0(A)))) # label(t89_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11682 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m1_subset_1(C,u1_struct_0(k11_monoid_0)) -> (all D (m1_subset_1(D,u1_struct_0(k11_monoid_0)) -> (A = C & D = B -> k24_binop_2(A,B) = k10_group_1(k11_monoid_0,C,D)))))))))) # label(t64_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11683 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v12_monoid_0(A) & v11_monoid_0(A) -> -v3_struct_0(A) & v13_monoid_0(A)))) # label(cc8_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11684 (all A (l1_group_1(A) -> (all B (m3_monoid_0(B,A) -> m2_monoid_0(B,A))))) # label(t23_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11685 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v7_group_1(A) <-> v1_binop_1(u1_group_1(A),u1_struct_0(A))))) # label(d11_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11686 (all A (l1_group_1(A) -> (v13_monoid_0(A) & v4_group_1(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v3_group_1(A) & v2_group_1(A)))) # label(cc6_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11687 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v7_monoid_0(u1_group_1(A),u1_struct_0(A)) <-> v15_monoid_0(A)))) # label(d18_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11688 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v16_monoid_0(A) -> -v3_struct_0(A) & v14_monoid_0(A) & v15_monoid_0(A)))) # label(cc9_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11689 (all A all B (m2_monoid_0(B,A) & l1_group_1(A) -> (all C (m5_monoid_0(C,A,B) <-> m2_monoid_0(C,B))))) # label(redefinition_m5_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11690 (all A (m1_subset_1(A,u1_struct_0(k9_monoid_0)) -> (all B (m1_subset_1(B,u1_struct_0(k9_monoid_0)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,k1_numbers) -> (A = C & B = D -> k10_group_1(k9_monoid_0,A,B) = k11_binop_2(C,D)))))))))) # label(t55_monoid_0_AndRHS_AndRHS) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11691 (all A (-v3_struct_0(A) & l1_group_1(A) & v2_group_1(A) -> (all B (v1_vectsp_2(B) & m1_monoid_0(B,A) & v1_vectsp_1(B) -> (all C (m1_monoid_0(C,A) & v1_vectsp_2(C) & v1_vectsp_1(C) -> C = B)))))) # label(t22_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11692 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m1_subset_1(C,u1_struct_0(k8_monoid_0)) -> (all D (m1_subset_1(D,u1_struct_0(k8_monoid_0)) -> (A = C & B = D -> k23_binop_2(A,B) = k10_group_1(k8_monoid_0,C,D)))))))))) # label(t51_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11693 (all A (-v1_xboole_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> ((all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (exists E (m1_subset_1(E,A) & (exists F (m1_subset_1(F,A) & k2_binop_1(A,A,A,B,F,C) = D & k2_binop_1(A,A,A,B,C,E) = D)))))))) <-> v5_monoid_0(B,A)))))) # label(d5_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11694 (all A (-v3_struct_0(A) & m1_monoid_0(A,k7_monoid_0) & v1_vectsp_2(A) & v1_vectsp_1(A) -> A = k8_monoid_0)) # label(d28_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11695 (all A all B (m3_monoid_0(B,A) & l1_group_1(A) -> (exists C m6_monoid_0(C,A,B)))) # label(existence_m6_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11696 (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) -> (v6_monoid_0(B,A) & v7_monoid_0(B,A) <-> v8_monoid_0(B,A)))))) # label(t2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11697 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,A) -> (all C (m2_monoid_0(C,A) & -v3_struct_0(C) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> m5_monoid_0(B,A,C)))))))) # label(t30_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11698 (all A (l1_struct_0(A) & v2_monoid_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_relat_1(B) & v1_finseq_1(B) & v1_finset_1(B) & v1_funct_1(B))))) # label(cc4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11699 (all A (l1_vectsp_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m3_monoid_0(B,A) -> (all C (-v3_struct_0(C) & m3_monoid_0(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> m7_monoid_0(B,A,C)))))))) # label(t31_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11700 (all A all B (-v3_struct_0(B) & v2_group_1(B) & m5_monoid_0(B,k15_monoid_0(A),k18_monoid_0(A)) & v13_monoid_0(B) & v1_group_1(B) -> ((all C (m1_subset_1(C,u1_struct_0(k18_monoid_0(A))) -> (r2_hidden(C,u1_struct_0(B)) <-> m2_relset_1(C,A,A) & v3_funct_2(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C)))) <-> k20_monoid_0(A) = B))) # label(d42_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11701 $T # label(t45_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11702 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v13_monoid_0(A) -> -v3_struct_0(A) & v12_monoid_0(A) & v11_monoid_0(A)))) # label(cc7_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11703 (all A (-v3_struct_0(k20_monoid_0(A)) & v1_group_1(k20_monoid_0(A)) & v2_group_1(k20_monoid_0(A)) & m5_monoid_0(k20_monoid_0(A),k15_monoid_0(A),k18_monoid_0(A)) & v13_monoid_0(k20_monoid_0(A)))) # label(dt_k20_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11704 (all A (m1_struct_0(A,f1_s3_monoid_0,f2_s3_monoid_0) -> (all B (m1_struct_0(B,f1_s3_monoid_0,f2_s3_monoid_0) -> r2_hidden(k1_group_1(f1_s3_monoid_0,A,B),f2_s3_monoid_0))))) & r2_hidden(u1_vectsp_1(f1_s3_monoid_0),f2_s3_monoid_0) -> (exists A (v1_vectsp_1(A) & m3_monoid_0(A,f1_s3_monoid_0) & f2_s3_monoid_0 = u1_struct_0(A) & -v3_struct_0(A))) # label(s3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11705 (all A (-v3_struct_0(A) & l1_vectsp_1(A) -> (v1_vectsp_2(A) -> u1_vectsp_1(A) = k3_binop_1(u1_struct_0(A),u1_group_1(A))))) # label(t19_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11706 (all A (l1_group_1(A) -> (exists B m1_monoid_0(B,A)))) # label(existence_m1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11707 (all A (l1_group_1(A) & v2_group_1(A) & -v3_struct_0(A) -> (exists B (m1_monoid_0(B,A) & v6_vectsp_1(B) & v1_vectsp_2(B) & v8_vectsp_1(B) & v1_vectsp_1(B) & v2_group_1(B) & -v3_struct_0(B))))) # label(rc6_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11708 (all A (v2_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (exists B (m2_monoid_0(B,A) & v10_monoid_0(B) & v14_monoid_0(B) & v17_monoid_0(B) & v16_monoid_0(B) & v15_monoid_0(B) & v13_monoid_0(B) & v12_monoid_0(B) & v11_monoid_0(B) & v7_group_1(B) & v4_group_1(B) & v3_group_1(B) & v2_group_1(B) & v1_group_1(B) & -v3_struct_0(B))))) # label(rc9_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11709 (all A all B (m3_monoid_0(B,A) & l1_group_1(A) -> (all C (m7_monoid_0(C,A,B) <-> m3_monoid_0(C,B))))) # label(redefinition_m7_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11710 (all A (-v3_struct_0(A) & m2_monoid_0(A,k5_monoid_0) & v2_group_1(A) -> k3_binop_1(u1_struct_0(A),u1_group_1(A)) = np__0)) # label(t44_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11711 (all A (v16_monoid_0(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v14_monoid_0(B) & v15_monoid_0(B) & v16_monoid_0(B)))))) # label(cc34_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11712 (all A (-v1_xboole_0(A) -> (all B (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> (v3_monoid_0(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (exists E (m1_subset_1(E,A) & D = k2_binop_1(A,A,A,B,E,C)))))))))))) # label(d3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11713 (all A (k1_funct_2(A,A) = u1_struct_0(k19_monoid_0(A)) & u1_group_1(k19_monoid_0(A)) = k1_realset1(k17_monoid_0(A),k1_funct_2(A,A)) & k6_partfun1(A) = u1_vectsp_1(k19_monoid_0(A)))) # label(t85_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11714 (all A (v2_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_monoid_0(B,A) -> v2_group_1(B) & v6_vectsp_1(B) & v8_vectsp_1(B) & -v3_struct_0(B))))) # label(cc16_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11715 (all A (v2_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m2_monoid_0(B,A) -> (-v3_struct_0(B) & v13_monoid_0(B) & v4_group_1(B) -> v15_monoid_0(B) & v16_monoid_0(B) & v14_monoid_0(B) & v3_group_1(B) & v2_group_1(B) & -v3_struct_0(B)))))) # label(cc36_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11716 (all A all B (r1_tarski(A,B) -> m2_monoid_0(k15_monoid_0(A),k15_monoid_0(B)))) # label(t81_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11717 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v14_monoid_0(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k1_group_1(A,B,D) = k1_group_1(A,B,C) -> D = C)))))))))) # label(t13_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11718 (all A (l1_group_1(A) -> (all B (l1_vectsp_1(B) -> ((all C (l1_vectsp_1(C) -> (C = A -> u1_vectsp_1(B) = u1_vectsp_1(C)))) & r1_tarski(u1_group_1(B),u1_group_1(A)) <-> m3_monoid_0(B,A)))))) # label(d24_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11719 (all A (-v1_xboole_0(A) -> (all B (v2_group_1(B) & m2_monoid_0(B,k12_monoid_0(A)) & -v3_struct_0(B) -> k3_binop_1(u1_struct_0(B),u1_group_1(B)) = k1_xboole_0)))) # label(t73_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11720 (all A (l1_struct_0(A) -> (v2_monoid_0(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_finseq_1(B) & v1_funct_1(B) & v1_relat_1(B)))))) # label(d2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11721 (all A all B (m1_subset_1(A,u1_struct_0(k20_monoid_0(B))) <-> v1_funct_2(A,B,B) & m2_relset_1(A,B,B) & v3_funct_2(A,B,B) & v1_funct_1(A))) # label(t86_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11722 (all A (-v1_xboole_0(A) -> (all B (v16_monoid_0(B) & l1_group_1(B) & v17_monoid_0(B) & v2_monoid_0(B) & v4_group_1(B) & v2_group_1(B) & v1_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)) -> k4_monoid_0(B,C,D) = k7_finseq_1(C,D))))) & u1_struct_0(B) = k3_finseq_2(A) <-> B = k12_monoid_0(A)))))) # label(d34_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11723 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_monoid_0(B,A) -> (v7_group_1(A) -> v7_group_1(B)) & (v4_group_1(A) -> v4_group_1(B)) & (v13_monoid_0(A) -> v13_monoid_0(B)) & (v16_monoid_0(A) -> v16_monoid_0(B)) & (v17_monoid_0(A) -> v17_monoid_0(B)) & (v2_group_1(A) -> v2_group_1(B)))))) # label(t21_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11724 (all A (-v1_xboole_0(A) -> (all B (m2_monoid_0(B,k12_monoid_0(A)) & -v3_struct_0(B) -> (m1_subset_1(k1_xboole_0,u1_struct_0(B)) -> k1_xboole_0 = k3_binop_1(u1_struct_0(B),u1_group_1(B)) & v2_group_1(B)))))) # label(t74_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11725 (all A all B (-v3_struct_0(B) & m2_monoid_0(B,k15_monoid_0(A)) -> (m1_subset_1(k6_partfun1(A),u1_struct_0(B)) -> v2_group_1(B) & k3_binop_1(u1_struct_0(B),u1_group_1(B)) = k6_partfun1(A)))) # label(t80_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11726 (all A (l1_group_1(A) -> (all B (l1_group_1(B) -> (m2_monoid_0(B,A) <-> r1_tarski(u1_group_1(B),u1_group_1(A))))))) # label(d23_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11727 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v16_monoid_0(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k1_group_1(A,B,C) = k1_group_1(A,B,D) | k1_group_1(A,C,B) = k1_group_1(A,D,B) -> C = D)))))))))) # label(t15_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11728 (all A (l1_group_1(A) -> (v4_group_1(A) & v13_monoid_0(A) & -v3_struct_0(A) -> v16_monoid_0(A) & v2_group_1(A) & -v3_struct_0(A)))) # label(cc11_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11729 (all A (m2_subset_1(A,k1_numbers,k5_numbers) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> (all C (m1_subset_1(C,u1_struct_0(k10_monoid_0)) -> (all D (m1_subset_1(D,u1_struct_0(k10_monoid_0)) -> (A = C & D = B -> k24_binop_2(A,B) = k10_group_1(k10_monoid_0,C,D)))))))))) # label(t62_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11730 (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) -> (v4_monoid_0(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (exists E (m1_subset_1(E,A) & k2_binop_1(A,A,A,B,C,E) = D))))))))))) # label(d4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11731 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,A,A) & m1_relset_1(B,A,A) & v1_funct_1(C) & v1_funct_2(C,A,A) & v3_funct_2(C,A,A) & m1_relset_1(C,A,A) & v3_funct_2(B,A,A) -> m2_relset_1(k3_monoid_0(A,B,C),A,A) & v3_funct_2(k3_monoid_0(A,B,C),A,A) & v1_funct_2(k3_monoid_0(A,B,C),A,A) & v1_funct_1(k3_monoid_0(A,B,C)))) # label(dt_k3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11732 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> (D = F & E = C -> k1_group_1(B,C,D) = k1_group_1(A,E,F)))))))))))))) # label(t27_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11733 (all A (-v3_struct_0(A) & l1_vectsp_1(A) & v1_vectsp_2(A) -> (exists B (v3_group_1(B) & v4_group_1(B) & v7_group_1(B) & v8_vectsp_1(B) & v1_vectsp_2(B) & v10_monoid_0(B) & v12_monoid_0(B) & v17_monoid_0(B) & v16_monoid_0(B) & v15_monoid_0(B) & v14_monoid_0(B) & v13_monoid_0(B) & v11_monoid_0(B) & v6_vectsp_1(B) & v1_vectsp_1(B) & v2_group_1(B) & -v3_struct_0(B) & m3_monoid_0(B,A))))) # label(rc12_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11734 p1_s4_monoid_0(u1_vectsp_1(f1_s4_monoid_0)) & (all A (m1_subset_1(A,u1_struct_0(f1_s4_monoid_0)) -> (all B (m1_subset_1(B,u1_struct_0(f1_s4_monoid_0)) -> (p1_s4_monoid_0(B) & p1_s4_monoid_0(A) -> p1_s4_monoid_0(k1_group_1(f1_s4_monoid_0,A,B))))))) -> (exists A (v1_vectsp_1(A) & m3_monoid_0(A,f1_s4_monoid_0) & (all B (m1_subset_1(B,u1_struct_0(f1_s4_monoid_0)) -> (p1_s4_monoid_0(B) <-> r2_hidden(B,u1_struct_0(A))))) & -v3_struct_0(A))) # label(s4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11735 (exists A (l1_struct_0(A) & v2_monoid_0(A))) # label(rc2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11736 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v4_monoid_0(u1_group_1(A),u1_struct_0(A)) <-> v12_monoid_0(A)))) # label(d15_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11737 (all A (m1_subset_1(A,u1_struct_0(f1_s2_monoid_0)) -> (all B (m1_subset_1(B,u1_struct_0(f1_s2_monoid_0)) -> (p1_s2_monoid_0(B) & p1_s2_monoid_0(A) -> p1_s2_monoid_0(k1_group_1(f1_s2_monoid_0,A,B))))))) & (exists A (m1_subset_1(A,u1_struct_0(f1_s2_monoid_0)) & p1_s2_monoid_0(A))) -> (exists A (v1_group_1(A) & m2_monoid_0(A,f1_s2_monoid_0) & (all B (m1_subset_1(B,u1_struct_0(f1_s2_monoid_0)) -> (r2_hidden(B,u1_struct_0(A)) <-> p1_s2_monoid_0(B)))) & -v3_struct_0(A))) # label(s2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11738 (all A (-v1_xboole_0(A) -> -v3_struct_0(k12_monoid_0(A)) & v2_group_1(k12_monoid_0(A)) & v2_monoid_0(k12_monoid_0(A)) & v17_monoid_0(k12_monoid_0(A)) & l1_group_1(k12_monoid_0(A)) & v16_monoid_0(k12_monoid_0(A)) & v4_group_1(k12_monoid_0(A)) & v1_group_1(k12_monoid_0(A)))) # label(dt_k12_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11739 (all A (v2_group_1(k18_monoid_0(A)) & m2_monoid_0(k18_monoid_0(A),k15_monoid_0(A)) & v1_group_1(k18_monoid_0(A)) & -v3_struct_0(k18_monoid_0(A)))) # label(dt_k18_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11740 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v1_setwiseo(u1_group_1(A),u1_struct_0(A)) <-> v2_group_1(A)))) # label(d10_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11741 $T # label(t59_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11742 (all A (-v1_xboole_0(A) -> (all B (m1_monoid_0(B,k12_monoid_0(A)) & v1_vectsp_2(B) & v1_vectsp_1(B) & -v3_struct_0(B) -> B = k13_monoid_0(A))))) # label(d35_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11743 (all A (v1_group_1(A) & m2_monoid_0(A,k5_monoid_0) & -v3_struct_0(A) -> (k4_numbers = u1_struct_0(A) <-> k6_monoid_0 = A))) # label(t46_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11744 (all A (v1_vectsp_1(k19_monoid_0(A)) & m1_monoid_0(k19_monoid_0(A),k18_monoid_0(A)) & v1_vectsp_2(k19_monoid_0(A)))) # label(dt_k19_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11745 (all A (m2_subset_1(A,k1_numbers,k5_numbers) <-> m1_subset_1(A,u1_struct_0(k8_monoid_0)))) # label(t50_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11746 (all A (m1_subset_1(A,k1_numbers) <-> m1_subset_1(A,u1_struct_0(k9_monoid_0)))) # label(t56_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11747 (all A (l1_group_1(A) -> (all B (l1_vectsp_1(B) -> (m1_monoid_0(B,A) <-> g1_group_1(u1_struct_0(B),u1_group_1(B)) = g1_group_1(u1_struct_0(A),u1_group_1(A))))))) # label(d22_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11748 (all A all B (-v3_struct_0(B) & v1_group_1(B) & v4_group_1(B) & l1_group_1(B) & v1_monoid_0(B) & v2_group_1(B) -> ((all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k5_relat_1(D,C) = k4_monoid_0(B,C,D))))) & u1_struct_0(B) = k4_partfun1(A,A) <-> k15_monoid_0(A) = B))) # label(d37_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11749 (all A all B all C (v1_funct_2(B,A,A) & m1_relset_1(B,A,A) & m1_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) & v1_funct_1(B) -> k5_relat_1(B,C) = k2_monoid_0(A,B,C))) # label(redefinition_k2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11750 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v2_binop_1(u1_group_1(A),u1_struct_0(A)) <-> v4_group_1(A)))) # label(d12_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11751 (all A (v1_monoid_0(A) & l1_group_1(A) -> (all B (m1_monoid_0(B,A) -> v1_monoid_0(B))))) # label(cc14_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11752 (all A (-v3_struct_0(k15_monoid_0(A)) & l1_group_1(k15_monoid_0(A)) & v1_monoid_0(k15_monoid_0(A)) & v4_group_1(k15_monoid_0(A)) & v2_group_1(k15_monoid_0(A)) & v1_group_1(k15_monoid_0(A)))) # label(dt_k15_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11753 (all A (l1_group_1(A) -> (exists B m2_monoid_0(B,A)))) # label(existence_m2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11754 (all A all B (m2_monoid_0(B,k15_monoid_0(A)) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k4_monoid_0(B,C,D) = k5_relat_1(D,C))))))) # label(t79_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11755 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v10_monoid_0(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_1(A,B,B) = B))))) # label(t9_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11756 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v4_group_1(A) -> (v13_monoid_0(A) <-> v1_finseqop(u1_group_1(A),u1_struct_0(A)) & v2_group_1(A))))) # label(t17_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11757 (all A (-v3_struct_0(k16_monoid_0(A)) & v1_vectsp_2(k16_monoid_0(A)) & m1_monoid_0(k16_monoid_0(A),k15_monoid_0(A)) & v1_vectsp_1(k16_monoid_0(A)))) # label(dt_k16_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11758 (all A (m1_subset_1(A,u1_struct_0(k5_monoid_0)) -> (all B (m1_subset_1(B,u1_struct_0(k5_monoid_0)) -> (all C (m1_subset_1(C,k1_numbers) -> (all D (m1_subset_1(D,k1_numbers) -> (B = D & C = A -> k10_group_1(k5_monoid_0,A,B) = k9_binop_2(C,D)))))))))) # label(t40_monoid_0_AndRHS_AndLHS) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11759 (all A (-v3_struct_0(A) & l1_group_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_group_1(A,k3_binop_1(u1_struct_0(A),u1_group_1(A)),B) & k1_group_1(A,B,k3_binop_1(u1_struct_0(A),u1_group_1(A))) = B)) <-> v2_group_1(A)))) # label(t5_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11760 (all A k17_monoid_0(A) = u1_group_1(k15_monoid_0(A))) # label(d39_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11761 (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) -> (v6_monoid_0(B,A) <-> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> (k2_binop_1(A,A,A,B,C,D) = k2_binop_1(A,A,A,B,C,E) -> E = D)))))))))))) # label(d6_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11762 (all A all B (l1_group_1(A) & m3_monoid_0(B,A) -> (all C (m6_monoid_0(C,A,B) -> m2_monoid_0(C,A))))) # label(dt_m6_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11763 (all A (l1_group_1(A) -> (exists B m3_monoid_0(B,A)))) # label(existence_m3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11764 (all A (-v3_struct_0(A) & l1_group_1(A) & v1_monoid_0(A) -> (all B (m2_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v1_monoid_0(B)))))) # label(cc22_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11765 (all A k6_partfun1(A) = k3_binop_1(u1_struct_0(k15_monoid_0(A)),u1_group_1(k15_monoid_0(A)))) # label(t78_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11766 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m1_monoid_0(B,A) -> u1_struct_0(A) = u1_struct_0(B) & (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> (C = E & F = D -> k1_group_1(A,E,F) = k1_group_1(B,C,D)))))))))) & u1_group_1(B) = u1_group_1(A))))) # label(t20_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11767 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) -> (v1_setwiseo(B,A) & (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,A) -> (k3_binop_1(A,B) = k2_binop_1(A,A,A,B,C,D) -> C = D & D = k3_binop_1(A,B)))))) <-> v9_monoid_0(B,A)))))) # label(d9_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11768 (exists A (l1_group_1(A) & v1_group_1(A) & v4_group_1(A) & v13_monoid_0(A) & v16_monoid_0(A) & v17_monoid_0(A) & v10_monoid_0(A) & v2_monoid_0(A) & v1_monoid_0(A) & v7_group_1(A) & v2_group_1(A) & -v3_struct_0(A))) # label(rc3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11769 (all A (-v3_struct_0(A) & v17_monoid_0(A) & l1_group_1(A) -> (all B (m1_monoid_0(B,A) -> -v3_struct_0(B) & v17_monoid_0(B))))) # label(cc21_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11770 (all A (-v3_struct_0(A) & l1_group_1(A) -> (exists B (v1_vectsp_1(B) & -v3_struct_0(B) & m3_monoid_0(B,A))))) # label(rc11_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11771 (all A all B (m1_subset_1(A,u1_struct_0(k18_monoid_0(B))) <-> v1_funct_2(A,B,B) & m2_relset_1(A,B,B) & v1_funct_1(A))) # label(t82_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.14 11772 (all A all B (v1_vectsp_1(B) & m1_monoid_0(B,k15_monoid_0(A)) & v1_vectsp_2(B) & -v3_struct_0(B) -> B = k16_monoid_0(A))) # label(d38_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11773 (all A u1_group_1(k18_monoid_0(A)) = k1_realset1(k17_monoid_0(A),k1_funct_2(A,A))) # label(t83_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11774 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v16_monoid_0(A) <-> v8_monoid_0(u1_group_1(A),u1_struct_0(A))))) # label(d19_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11775 (all A (-v1_xboole_0(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,k12_monoid_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> k7_finseq_1(C,D) = k4_monoid_0(B,C,D))))))))) # label(t72_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11776 (all A (-v3_struct_0(A) & l1_group_1(A) & v16_monoid_0(A) -> (all B (m1_monoid_0(B,A) -> -v3_struct_0(B) & v15_monoid_0(B) & v16_monoid_0(B) & v14_monoid_0(B))))) # label(cc20_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11777 (all A (-v3_struct_0(A) & m2_monoid_0(A,k9_monoid_0) & v2_group_1(A) -> k3_binop_1(u1_struct_0(A),u1_group_1(A)) = np__1 | np__0 = k3_binop_1(u1_struct_0(A),u1_group_1(A)))) # label(t60_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11778 $T # label(t7_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11779 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (m2_monoid_0(B,A) & -v3_struct_0(B) -> u1_group_1(B) = k1_realset1(u1_group_1(A),u1_struct_0(B)))))) # label(t26_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11780 (all A all B (m3_monoid_0(B,A) & l1_group_1(A) -> (all C (m6_monoid_0(C,A,B) <-> m2_monoid_0(C,B))))) # label(redefinition_m6_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11781 (all A all B (m2_monoid_0(B,A) & l1_group_1(A) -> (all C (m5_monoid_0(C,A,B) -> m2_monoid_0(C,A))))) # label(dt_m5_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11782 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,A,A) & m1_relset_1(B,A,A) & m1_relset_1(C,A,A) & v1_funct_2(C,A,A) & v1_funct_1(C) -> v1_funct_2(k2_monoid_0(A,B,C),A,A) & m2_relset_1(k2_monoid_0(A,B,C),A,A) & v1_funct_1(k2_monoid_0(A,B,C)))) # label(dt_k2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11783 (all A (l1_group_1(A) -> (exists B (v1_vectsp_1(B) & m1_monoid_0(B,A))))) # label(rc5_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11784 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v4_group_1(B)))))) # label(cc30_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11785 (all A (l1_group_1(A) & v13_monoid_0(A) & -v3_struct_0(A) -> (all B (m1_monoid_0(B,A) -> -v3_struct_0(B) & v11_monoid_0(B) & v12_monoid_0(B) & v13_monoid_0(B))))) # label(cc19_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11786 (all A (l1_vectsp_1(A) & v1_vectsp_2(A) & -v3_struct_0(A) -> (all B (m3_monoid_0(B,A) & -v3_struct_0(B) -> v1_vectsp_2(B))))) # label(t33_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11787 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v17_monoid_0(A) <-> v9_monoid_0(u1_group_1(A),u1_struct_0(A))))) # label(d20_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11788 (all A (-v3_struct_0(A) & l1_vectsp_1(A) -> (all B (-v3_struct_0(B) & m3_monoid_0(B,A) -> (all C (-v3_struct_0(C) & m3_monoid_0(C,A) -> (u1_struct_0(C) = u1_struct_0(B) -> g1_vectsp_1(u1_struct_0(B),u1_group_1(B),u1_vectsp_1(B)) = g1_vectsp_1(u1_struct_0(C),u1_group_1(C),u1_vectsp_1(C))))))))) # label(t29_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11789 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,u1_struct_0(k13_monoid_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(k13_monoid_0(A))) -> k4_monoid_0(k13_monoid_0(A),B,C) = k7_finseq_1(B,C))))))) # label(t71_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11790 (all A (-v1_xboole_0(A) -> v1_funct_2(k14_monoid_0(A),k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)),k3_finseq_2(A)) & m2_relset_1(k14_monoid_0(A),k2_zfmisc_1(k3_finseq_2(A),k3_finseq_2(A)),k3_finseq_2(A)) & v1_funct_1(k14_monoid_0(A)))) # label(dt_k14_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11791 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m2_monoid_0(B,A) & -v3_struct_0(B) -> (v17_monoid_0(A) & r2_hidden(k3_binop_1(u1_struct_0(A),u1_group_1(A)),u1_struct_0(B)) -> v17_monoid_0(B)))))) # label(t38_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11792 (all A (l1_group_1(A) -> (all B (m2_monoid_0(B,A) -> l1_group_1(B))))) # label(dt_m2_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11793 (all A all B (m2_monoid_0(B,A) & l1_group_1(A) -> (exists C m5_monoid_0(C,A,B)))) # label(existence_m5_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11794 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v4_group_1(B)))))) # label(cc29_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11795 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_tarski(A),k1_tarski(A)),k1_tarski(A)) & m2_relset_1(B,k2_zfmisc_1(k1_tarski(A),k1_tarski(A)),k1_tarski(A)) -> B = k2_funcop_1(k1_tarski(k4_tarski(A,A)),A) & v1_setwiseo(B,k1_tarski(A)) & v1_binop_1(B,k1_tarski(A)) & v2_binop_1(B,k1_tarski(A)) & v3_binop_1(B,k1_tarski(A)) & v5_monoid_0(B,k1_tarski(A)) & v8_monoid_0(B,k1_tarski(A)) & v9_monoid_0(B,k1_tarski(A)))) # label(t3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11796 (all A (v10_monoid_0(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> v10_monoid_0(B) & -v3_struct_0(B)))))) # label(cc32_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11797 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (l1_vectsp_1(B) & -v3_struct_0(B) -> m3_monoid_0(B,B) & m2_monoid_0(A,A))))) # label(t24_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11798 (all A (-v3_struct_0(A) & v10_monoid_0(A) & l1_group_1(A) -> (all B (m2_monoid_0(B,A) -> (-v3_struct_0(B) -> v10_monoid_0(B) & -v3_struct_0(B)))))) # label(cc31_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11799 (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 ((exists E (C = k1_group_1(A,E,B) & C = k1_group_1(A,B,D) & m1_subset_1(E,u1_struct_0(A)))) & m1_subset_1(D,u1_struct_0(A)))))))) <-> v13_monoid_0(A)))) # label(t12_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11800 (all A k6_partfun1(A) = k3_binop_1(u1_struct_0(k18_monoid_0(A)),u1_group_1(k18_monoid_0(A)))) # label(t84_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11801 (all A (-v1_xboole_0(A) -> k14_monoid_0(A) = u1_group_1(k12_monoid_0(A)))) # label(d36_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11802 (all A (k6_partfun1(A) = k2_group_1(k20_monoid_0(A)) & k3_binop_1(u1_struct_0(k20_monoid_0(A)),u1_group_1(k20_monoid_0(A))) = k6_partfun1(A))) # label(t87_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11803 (all A (v1_monoid_0(A) & l1_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_relat_1(B) & v1_funct_1(B))))) # label(cc1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11804 (all A (l1_group_1(A) -> (exists B (v1_group_1(B) & m2_monoid_0(B,A))))) # label(rc7_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11805 (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)) -> m1_subset_1(k4_monoid_0(A,B,C),u1_struct_0(A)))) # label(dt_k4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11806 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v10_monoid_0(A) <-> v3_binop_1(u1_group_1(A),u1_struct_0(A))))) # label(d13_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11807 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_monoid_0(B,A) -> -v3_struct_0(B) & v4_group_1(B))))) # label(cc17_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11808 (all A all B (m1_monoid_0(B,k18_monoid_0(A)) & v1_vectsp_2(B) & v1_vectsp_1(B) -> k19_monoid_0(A) = B)) # label(d41_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11809 (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) -> (v5_monoid_0(B,A) <-> v4_monoid_0(B,A) & v3_monoid_0(B,A)))))) # label(t1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11810 (all A (-v3_struct_0(A) & v7_group_1(A) & l1_group_1(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v7_group_1(B)))))) # label(cc28_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11811 $T # label(t8_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11812 $T # label(t48_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11813 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v2_group_1(A) -> r3_binop_1(u1_struct_0(A),k3_binop_1(u1_struct_0(A),u1_group_1(A)),u1_group_1(A))))) # label(t4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11814 (all A all B (m1_monoid_0(B,A) & l1_group_1(A) -> (all C (m4_monoid_0(C,A,B) <-> m2_monoid_0(C,B))))) # label(redefinition_m4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11815 (all A (-v3_struct_0(A) & v1_vectsp_2(A) & l1_vectsp_1(A) & v17_monoid_0(A) -> (all B (m3_monoid_0(B,A) & -v3_struct_0(B) -> v17_monoid_0(B))))) # label(t39_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11816 (all A all B all C (m1_finseq_1(C,A) & m1_finseq_1(B,A) -> k1_monoid_0(A,B,C) = k7_finseq_1(B,C))) # label(redefinition_k1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11817 (all A all B all C (m1_finseq_1(C,A) & m1_finseq_1(B,A) -> m2_finseq_2(k1_monoid_0(A,B,C),A,k3_finseq_2(A)))) # label(dt_k1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11818 (all A all B (m2_relset_1(A,B,B) & v1_funct_1(A) <-> m1_subset_1(A,u1_struct_0(k15_monoid_0(B))))) # label(t77_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11819 (all A (m1_subset_1(A,k1_numbers) <-> m1_subset_1(A,u1_struct_0(k5_monoid_0)))) # label(t41_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11820 (all A (l1_group_1(A) & v7_group_1(A) & -v3_struct_0(A) -> (all B (m2_monoid_0(B,A) -> (-v3_struct_0(B) -> v7_group_1(B) & -v3_struct_0(B)))))) # label(cc27_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11821 (all A all B (m1_subset_1(B,u1_struct_0(k20_monoid_0(A))) -> k3_group_1(k20_monoid_0(A),B) = k2_funct_1(B))) # label(t88_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11822 (all A all B (l1_group_1(A) & m1_monoid_0(B,A) -> (all C (m4_monoid_0(C,A,B) -> m2_monoid_0(C,A))))) # label(dt_m4_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11823 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v17_monoid_0(A) <-> v1_setwiseo(u1_group_1(A),u1_struct_0(A)) & (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k3_binop_1(u1_struct_0(A),u1_group_1(A)) = k1_group_1(A,B,C) -> k3_binop_1(u1_struct_0(A),u1_group_1(A)) = C & B = C)))))))) # label(t16_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11824 (all A (v1_funct_1(k17_monoid_0(A)) & v1_funct_2(k17_monoid_0(A),k2_zfmisc_1(k4_partfun1(A,A),k4_partfun1(A,A)),k4_partfun1(A,A)) & m2_relset_1(k17_monoid_0(A),k2_zfmisc_1(k4_partfun1(A,A),k4_partfun1(A,A)),k4_partfun1(A,A)))) # label(dt_k17_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11825 (all A all B (l1_group_1(A) & m3_monoid_0(B,A) -> (all C (m7_monoid_0(C,A,B) -> m3_monoid_0(C,A))))) # label(dt_m7_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11826 (all A (l1_group_1(A) -> (all B (m1_monoid_0(B,A) -> l1_vectsp_1(B))))) # label(dt_m1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11827 (all A all B (v1_group_1(B) & m2_monoid_0(B,k15_monoid_0(A)) & v2_group_1(B) & -v3_struct_0(B) -> (k1_funct_2(A,A) = u1_struct_0(B) <-> B = k18_monoid_0(A)))) # label(d40_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11828 (all A (l1_group_1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & k1_group_1(A,D,B) = C)))))) <-> v11_monoid_0(A)))) # label(t10_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11829 (all A (l1_group_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m2_monoid_0(B,A) -> (v10_monoid_0(A) -> v10_monoid_0(B)))))) # label(t36_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11830 (all A (-v3_struct_0(A) & v1_group_1(A) & v2_group_1(A) & v17_monoid_0(A) & m5_monoid_0(A,k5_monoid_0,k6_monoid_0) -> (u1_struct_0(A) = k5_numbers <-> A = k7_monoid_0))) # label(d27_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11831 (all A all B (m3_monoid_0(B,A) & l1_group_1(A) -> (exists C m7_monoid_0(C,A,B)))) # label(existence_m7_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11832 (all A (l1_vectsp_1(A) & v17_monoid_0(A) & v1_vectsp_2(A) & -v3_struct_0(A) -> (all B (m3_monoid_0(B,A) -> (-v3_struct_0(B) -> -v3_struct_0(B) & v2_group_1(B) & v17_monoid_0(B) & v1_vectsp_2(B) & v8_vectsp_1(B) & v6_vectsp_1(B)))))) # label(cc35_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11833 (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) -> v1_vectsp_1(g1_vectsp_1(A,B,C)) & -v3_struct_0(g1_vectsp_1(A,B,C)))) # label(fc1_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11834 (all A (-v1_xboole_0(A) -> k1_xboole_0 = k3_binop_1(k3_finseq_2(A),k14_monoid_0(A)) & v2_binop_1(k14_monoid_0(A),k3_finseq_2(A)) & v1_setwiseo(k14_monoid_0(A),k3_finseq_2(A)))) # label(t76_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11835 (all A (-v3_struct_0(A) & l1_vectsp_1(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> k1_group_1(A,u1_vectsp_1(A),B) = B & B = k1_group_1(A,B,u1_vectsp_1(A)))) <-> v1_vectsp_2(A)))) # label(t18_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11836 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v15_monoid_0(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k1_group_1(A,C,B) = k1_group_1(A,D,B) -> D = C)))))))))) # label(t14_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11837 (all A (-v1_xboole_0(A) -> v1_vectsp_1(k13_monoid_0(A)) & v1_vectsp_2(k13_monoid_0(A)) & m1_monoid_0(k13_monoid_0(A),k12_monoid_0(A)) & -v3_struct_0(k13_monoid_0(A)))) # label(dt_k13_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11838 (all A (l1_group_1(A) -> (all B (m3_monoid_0(B,A) -> l1_vectsp_1(B))))) # label(dt_m3_monoid_0) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11839 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,u1_struct_0(B)) & r1_tarski(D,C) & D = E & v3_pre_topc(C,A) -> (v1_tops_3(E,B) & v1_tops_1(C,A) <-> v1_tops_3(D,A))))))))))))) # label(t62_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11840 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(B,A) <-> k1_xboole_0 = k1_tops_1(A,k6_pre_topc(A,B))))))) # label(d3_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11841 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & C = D -> k1_tops_1(B,D) = k1_tops_1(A,C)))))))))) # label(t77_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11842 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) -> k1_tops_1(A,C) = k1_tops_1(A,k4_subset_1(u1_struct_0(A),C,B)))))))))) # label(t14_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11843 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(B,A) <-> k6_pre_topc(A,k1_tops_1(A,B)) = u1_struct_0(A)))))) # label(d5_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11844 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(C,A) | v1_tops_3(B,A) -> v1_tops_3(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t43_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11845 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(B,A) -> v3_tops_1(k6_pre_topc(A,B),A)))))) # label(t24_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11846 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(B,A) | v1_tops_1(C,A) -> v1_tops_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t21_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11847 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v2_tops_1(k1_pre_topc(A),A))) # label(t9_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11848 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(B,A) & v2_tops_1(C,A) -> v1_tops_1(k6_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t47_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11849 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & r1_tarski(C,D) -> r1_tarski(k1_tops_1(A,C),k1_tops_1(B,D))))))))))) # label(t78_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11850 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(B,A) & v3_pre_topc(B,A) -> v1_tops_3(B,A)))))) # label(t36_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11851 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(C != u1_struct_0(A) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(D != u1_struct_0(A) & k4_subset_1(u1_struct_0(A),B,D) = u1_struct_0(A) & v4_pre_topc(D,A) & r1_tarski(C,D)))) & v4_pre_topc(C,A)))) <-> v1_tops_3(B,A)))))) # label(t42_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11852 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_tops_1(B,A) & v1_tops_1(B,A)))))) # label(t25_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11853 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) -> r1_tarski(k1_tops_1(A,k4_subset_1(u1_struct_0(A),C,B)),k4_subset_1(u1_struct_0(A),C,k1_tops_1(A,B)))))))))) # label(t5_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11854 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> k1_tops_1(B,D) = k1_tops_1(A,C)))))))))) # label(t58_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11855 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k2_pre_topc(A) = k3_subset_1(u1_struct_0(A),B) -> B = k1_pre_topc(A)) & (B = k1_xboole_0 -> u1_struct_0(A) = k3_subset_1(u1_struct_0(A),B)) & (k3_subset_1(u1_struct_0(A),B) = u1_struct_0(A) -> k1_xboole_0 = B) & (k1_pre_topc(A) = B -> k3_subset_1(u1_struct_0(A),B) = k2_pre_topc(A)))))) # label(t1_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11856 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(B,A) -> v1_tops_3(k1_tops_1(A,B),A)))))) # label(t32_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11857 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(B,A) <-> v1_tops_1(k1_tops_1(A,B),A)))))) # label(t35_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11858 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,D) & v1_tops_1(C,A) & g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) -> v1_tops_1(D,B)))))))))) # label(t83_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11859 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,D) & v1_tops_3(C,A) & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) -> v1_tops_3(D,B)))))))))) # label(t85_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11860 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(C,A) & v3_tops_1(B,A) -> v2_tops_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t30_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11861 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,u1_struct_0(B)) & r1_tarski(D,C) & E = D -> (v1_tops_1(D,A) <-> v1_tops_1(C,A) & v1_tops_1(E,B))))))))))))) # label(t60_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11862 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(B,A) & r1_tarski(C,B) -> v3_tops_1(C,A)))))))) # label(t26_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11863 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(C,A) & v1_tops_3(B,A) -> v1_tops_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t45_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11864 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((exists C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & v3_pre_topc(C,A) & v1_tops_1(C,A) & r1_tarski(C,B))) <-> v1_tops_3(B,A)))))) # label(t41_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11865 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(B,A) -> v1_tops_1(B,A)))))) # label(t33_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11866 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v2_tops_1(B,A) & v1_tops_3(B,A)))))) # label(t37_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11867 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) <-> k1_xboole_0 = k1_tops_1(A,B)))))) # label(d1_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11868 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) & r1_tarski(k3_subset_1(u1_struct_0(A),B),C) -> u1_struct_0(A) = C))) <-> v2_tops_1(B,A)))))) # label(t12_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11869 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_tops_1(B,A) & (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v2_tops_1(C,A) & v3_pre_topc(D,A) & r1_xboole_0(C,D) & k4_subset_1(u1_struct_0(A),C,D) = u1_struct_0(A) & B = k5_subset_1(u1_struct_0(A),C,k4_subset_1(u1_struct_0(A),B,D)) & v1_tops_1(D,A) & v4_pre_topc(C,A))))))))))) # label(t52_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11870 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(B,A) <-> v1_tops_3(k3_subset_1(u1_struct_0(A),B),A)))))) # label(t40_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11871 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) & v4_pre_topc(C,A) -> C = u1_struct_0(A)))) <-> v1_tops_1(B,A)))))) # label(t19_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11872 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (B = k2_pre_topc(A) -> k3_subset_1(u1_struct_0(A),B) = k1_pre_topc(A)) & (u1_struct_0(A) = B -> k1_xboole_0 = k3_subset_1(u1_struct_0(A),B)) & (k1_xboole_0 = k3_subset_1(u1_struct_0(A),B) -> u1_struct_0(A) = B) & (k1_pre_topc(A) = k3_subset_1(u1_struct_0(A),B) -> B = k2_pre_topc(A)))))) # label(t2_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11873 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,D) & v3_tops_1(D,B) -> v3_tops_1(C,A)))))))))) # label(t68_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11874 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(D,C) -> r1_tarski(k6_pre_topc(B,D),k6_pre_topc(A,C))))))))))) # label(t53_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11875 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v1_tops_3(C,A) & r1_tarski(C,D) -> v1_tops_3(D,B)))))))))) # label(t61_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11876 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v3_pre_topc(C,A) & g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) & C = D -> v3_pre_topc(D,B)))))))))) # label(t76_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11877 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_xboole_0(k3_subset_1(u1_struct_0(A),B),C) & v3_pre_topc(C,A) & C != k1_xboole_0)))))))) # label(t13_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11878 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) -> k6_pre_topc(B,D) = k6_pre_topc(A,C)))))))))) # label(t80_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11879 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(C,A) & v1_tops_3(B,A) -> v1_tops_3(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t44_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11880 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,D) & v2_tops_1(D,B) -> v2_tops_1(C,A)))))))))) # label(t65_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11881 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(B,A) <-> (exists C (v2_tops_1(C,A) & v4_pre_topc(C,A) & r1_tarski(B,C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))))))))) # label(t27_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11882 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(B,A) | v3_tops_1(C,A) -> v3_tops_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t29_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11883 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) -> k6_pre_topc(A,k5_subset_1(u1_struct_0(A),C,B)) = k6_pre_topc(A,C)))) <-> v1_tops_1(B,A)))))) # label(t20_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11884 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & v1_tsep_1(B,A) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (u1_struct_0(B) = D & C = E -> (v1_tops_3(C,A) <-> v1_tops_3(E,B) & v1_tops_1(D,A))))))))))))) # label(t63_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11885 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(C,A) & v1_tops_1(B,A) -> v1_tops_1(k6_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t46_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11886 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v1_tsep_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> (v2_tops_1(D,B) <-> v2_tops_1(C,A))))))))))) # label(t67_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11887 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,B) & v2_tops_1(B,A) -> v2_tops_1(C,A)))))))) # label(t11_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11888 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tops_1(C,A) & v1_tops_3(B,A) -> v1_tops_3(k6_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t48_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11889 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,D) -> r1_tarski(k1_tops_1(A,C),k1_tops_1(B,D))))))))))) # label(t56_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11890 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D -> (v3_pre_topc(D,B) <-> v3_pre_topc(C,A))))))) & u1_struct_0(A) = u1_struct_0(B) -> g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))))))) # label(t72_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11891 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v1_borsuk_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> k6_pre_topc(B,D) = k6_pre_topc(A,C)))))))))) # label(t55_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11892 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D & v4_pre_topc(C,A) & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) -> v4_pre_topc(D,B)))))))))) # label(t79_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11893 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k1_tops_1(A,k4_subset_1(u1_struct_0(A),B,C)),k4_subset_1(u1_struct_0(A),k6_pre_topc(A,B),k1_tops_1(A,C))))))))) # label(t4_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11894 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (v1_tops_1(C,A) & r1_tarski(C,D) -> v1_tops_1(D,B)))))))))) # label(t59_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11895 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_tops_1(B,A) & (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(C,A) & v1_tops_3(D,A) & B = k5_subset_1(u1_struct_0(A),C,D) & u1_struct_0(A) = k4_subset_1(u1_struct_0(A),C,D) & v2_tops_1(C,A))))))))))) # label(t51_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11896 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(B,A) <-> v3_tops_1(k3_subset_1(u1_struct_0(A),B),A)))))) # label(t39_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11897 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(k1_xboole_0 != C & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & r1_xboole_0(B,D) & D != k1_xboole_0 & r1_tarski(D,C)))) & v3_pre_topc(C,A)))) <-> v3_tops_1(B,A)))))) # label(t28_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11898 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r1_xboole_0(B,k1_tops_1(A,k6_pre_topc(A,B))) -> k1_xboole_0 = k1_tops_1(A,k6_pre_topc(A,B))))))) # label(t7_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11899 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(A) = k4_subset_1(u1_struct_0(A),B,k6_pre_topc(A,k1_tops_1(A,B))) -> k6_pre_topc(A,k1_tops_1(A,B)) = u1_struct_0(A)))))) # label(t8_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11900 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) -> k1_tops_1(A,k4_subset_1(u1_struct_0(A),C,k1_tops_1(A,B))) = k1_tops_1(A,k4_subset_1(u1_struct_0(A),C,B))))))))) # label(t6_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11901 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,u1_struct_0(B)) & v2_tops_1(D,A) & E = D & r1_tarski(D,C) & v3_pre_topc(C,A) -> v2_tops_1(E,B)))))))))))) # label(t66_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.15 11902 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & r1_tarski(C,D) -> r1_tarski(k6_pre_topc(A,C),k6_pre_topc(B,D))))))))))) # label(t81_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11903 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> v3_tops_1(k1_pre_topc(A),A))) # label(t22_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11904 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(B,A) & r1_tarski(B,C) -> v1_tops_3(C,A)))))))) # label(t38_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11905 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> k6_pre_topc(B,D) = k6_pre_topc(A,C)))))) & u1_struct_0(A) = u1_struct_0(B) -> g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))))))) # label(t75_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11906 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v1_tops_1(C,A) & v3_tops_1(D,A) & r1_xboole_0(C,D) & k4_subset_1(u1_struct_0(A),C,D) = B & v3_pre_topc(C,A)))))) & v1_tops_3(B,A)))))) # label(t49_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11907 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(B,A) | v2_tops_1(C,A) -> v2_tops_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t15_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11908 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v2_tops_1(k3_subset_1(u1_struct_0(A),B),A) <-> v1_tops_1(B,A)))))) # label(t18_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11909 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> v1_tops_3(k2_pre_topc(A),A))) # label(t31_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11910 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(A) = k6_pre_topc(A,B) <-> v1_tops_1(B,A)))))) # label(d2_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11911 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (u1_struct_0(A) = u1_struct_0(B) & (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> (v4_pre_topc(C,A) <-> v4_pre_topc(D,B))))))) -> g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))))))) # label(t73_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11912 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k5_subset_1(u1_struct_0(A),k1_tops_1(A,B),k6_pre_topc(A,C)),k6_pre_topc(A,k5_subset_1(u1_struct_0(A),B,C))))))))) # label(t3_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11913 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v1_tops_3(B,A) & B = k1_xboole_0))))) # label(t34_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11914 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v1_tops_3(B,A) & (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(C,A) & v1_tops_1(C,A) & v4_pre_topc(D,A) & v2_tops_1(D,A) & u1_struct_0(A) = k4_subset_1(u1_struct_0(A),C,D) & r1_xboole_0(C,D) & k4_subset_1(u1_struct_0(A),C,k5_subset_1(u1_struct_0(A),B,D)) = B)))))))))) # label(t50_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11915 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v1_tops_1(k2_pre_topc(A),A))) # label(t16_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11916 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v1_tsep_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D -> (v3_tops_1(C,A) <-> v3_tops_1(D,B))))))))))) # label(t70_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11917 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_tops_1(B,A) & B = u1_struct_0(A)))))) # label(t23_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11918 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (u1_struct_0(A) = u1_struct_0(B) & (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> k1_tops_1(B,D) = k1_tops_1(A,C)))))) -> g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))))))) # label(t74_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11919 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,u1_struct_0(B)) & r1_tarski(D,C) & E = D & v4_pre_topc(C,A) -> k6_pre_topc(A,D) = k6_pre_topc(B,E)))))))))))) # label(t54_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11920 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v1_tops_1(B,A) & B = k1_xboole_0))))) # label(t17_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11921 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & v3_tops_1(C,A) & r1_tarski(D,C) -> v3_tops_1(D,B)))))))))) # label(t84_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11922 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v2_tops_1(B,A) & B = u1_struct_0(A)))))) # label(t10_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11923 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,u1_struct_0(B)) & r1_tarski(D,C) & v3_tops_1(D,A) & E = D & v3_pre_topc(C,A) -> v3_tops_1(E,B)))))))))))) # label(t69_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11924 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (u1_struct_0(B) = u1_struct_0(A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (k3_subset_1(u1_struct_0(B),D) = k3_subset_1(u1_struct_0(A),C) <-> D = C)))))))))) # label(t71_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11925 (all A (l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & v2_tops_1(C,A) & r1_tarski(D,C) -> v2_tops_1(D,B)))))))))) # label(t82_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11926 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (E = D & r1_tarski(D,C) & r1_tarski(C,u1_struct_0(B)) -> (v1_tops_3(C,A) & v1_tops_3(E,B) <-> v1_tops_3(D,A))))))))))))) # label(t64_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11927 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,u1_struct_0(B)) & r1_tarski(D,C) & E = D & v3_pre_topc(C,A) -> k1_tops_1(B,E) = k1_tops_1(A,D)))))))))))) # label(t57_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11928 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k2_pre_topc(A) = k6_pre_topc(A,k1_tops_1(A,B)) <-> v1_tops_3(B,A)))))) # label(d4_tops_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11929 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v13_lattices(B) & v10_lattices(B) -> (all C (m1_lattice4(C,B,A) -> (v2_lattice4(C,B,A) -> r3_lattice4(B,A,C) & v13_lattices(A)))))))) # label(t19_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11930 (all A all B (v10_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & l3_lattices(A) & -v3_struct_0(A) -> (all C (m1_lattice4(C,A,B) -> v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C))))) # label(dt_m1_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11931 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (m2_lattice4(B,A) & -v1_xboole_0(B) -> (r2_hidden(k6_lattices(A),B) & r2_hidden(k5_lattices(A),B) -> a_2_1_lattice4(A,B) = k3_lattice4(A,B)))))) # label(t50_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11932 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> v2_filter_0(k1_filter_0(A),A))) # label(t4_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11933 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,A,B) -> (r2_lattice4(A,B,C) <-> k6_lattices(B) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k6_lattices(A))))))))) # label(d7_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11934 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k2_lattice4(A,B) = k7_setwiseo(u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,k7_grcat_1(A)))))) # label(t14_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11935 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (exists B m3_lattice4(B,A)))) # label(existence_m3_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11936 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> k3_lattices(A,k2_lattice2(u1_struct_0(A),A,C,k5_lattice4(A)),k7_lattices(A,B)) = k2_lattice2(u1_struct_0(A),A,k5_setwiseo(u1_struct_0(A),C,k2_setwiseo(u1_struct_0(A),B)),k5_lattice4(A)))))))) # label(t45_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11937 (all A (v10_lattices(A) & v14_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> k4_lattices(A,k2_lattice4(A,B),k2_lattice4(A,C)) = k2_lattice4(A,k5_setwiseo(u1_struct_0(A),B,C)))))))) # label(t30_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11938 (all A (-v3_struct_0(A) & v14_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_lattice4(B,A) -> (r2_hidden(k6_lattices(A),B) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> (r1_tarski(C,B) -> r2_hidden(k2_lattice4(A,C),B))))))))) # label(t31_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11939 (all A all B all C (v17_lattices(B) & l3_lattices(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & -v1_xboole_0(C) & v10_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_0_lattice4(B,C)) <-> (exists D exists E (m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(E,u1_struct_0(B)) & r2_hidden(D,C) & r2_hidden(E,C) & A = k4_filter_0(B,D,E)))))) # label(fraenkel_a_2_0_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11940 (all A all B (v10_lattices(B) & v17_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & -v1_xboole_0(C) -> ((exists D (m1_subset_1(D,u1_struct_0(B)) & (exists E (r2_hidden(E,C) & r2_hidden(D,C) & k4_filter_0(B,D,E) = A & m1_subset_1(E,u1_struct_0(B)))))) <-> r2_hidden(A,k4_lattice4(B,C))))))) # label(t43_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11941 (all A (v14_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(A)) -> k3_lattice2(u1_struct_0(A),A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C)),D) = k4_lattices(A,k3_lattice2(u1_struct_0(A),A,B,D),k8_funct_2(u1_struct_0(A),u1_struct_0(A),D,C)))))))))) # label(t27_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11942 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> r1_tarski(C,k3_filter_0(A,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),B,C))) & r1_tarski(B,k3_filter_0(A,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),B,C))))))))) # label(t5_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11943 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_lattice4(E,A,B) -> (v1_lattice4(E,A,B) -> (r3_lattices(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,C),k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,D)) <-> r3_lattices(A,C,D))))))))))))) # label(t8_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11944 (all A (-v3_struct_0(A) & l3_lattices(A) & v13_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,k1_lattice4(A,B),C) = k1_lattice4(A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C))))))))) # label(t21_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11945 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (exists B m2_lattice4(B,A)))) # label(existence_m2_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11946 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k7_setwiseo(u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,k7_grcat_1(A)) = k1_lattice4(A,B))))) # label(t15_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11947 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v2_lattice4(C,A,B) <-> k2_relat_1(C) = u1_struct_0(B)))))))) # label(d3_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11948 $T # label(t1_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11949 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(r2_hidden(C,k3_filter_0(A,k1_finsub_1(k1_zfmisc_1(u1_struct_0(A)),k2_filter_0(A,D),B))) & (all E (m1_subset_1(E,u1_struct_0(A)) -> -(r2_hidden(E,B) & r3_lattices(A,k4_lattices(A,D,E),C))))))))))))) # label(t6_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11950 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m3_lattice4(D,A) -> (r2_hidden(C,D) & r2_hidden(B,D) -> r2_hidden(k4_filter_0(A,B,C),D)))))))))) # label(t40_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11951 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (m3_lattice4(B,A) -> m2_lattice4(B,A))))) # label(t42_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11952 (all A (-v3_struct_0(A) & v11_lattices(A) & v14_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,k2_lattice4(A,B),C) = k2_lattice4(A,k8_setwiseo(u1_struct_0(A),u1_struct_0(A),k7_funcop_1(u1_struct_0(A),u1_struct_0(A),u2_lattices(A),k7_grcat_1(A),C),B)))))))) # label(t32_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11953 (all A (v10_lattices(A) & l3_lattices(A) & v13_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> k1_lattice4(A,k5_setwiseo(u1_struct_0(A),B,C)) = k3_lattices(A,k1_lattice4(A,B),k1_lattice4(A,C)))))))) # label(t22_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11954 (all A (-v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> m2_relset_1(k5_lattice4(A),u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(k5_lattice4(A),u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(k5_lattice4(A)))) # label(dt_k5_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11955 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k1_lattice4(A,B) = k2_lattice2(u1_struct_0(A),A,B,k7_grcat_1(A)))))) # label(d12_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11956 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m2_lattice4(u1_struct_0(A),A))) # label(t10_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11957 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_lattice4(E,A,B) -> (r3_lattices(A,C,D) -> r3_lattices(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,C),k8_funct_2(u1_struct_0(A),u1_struct_0(B),E,D))))))))))))) # label(t7_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11958 (all A all B all C (-v3_struct_0(B) & v10_lattices(B) & v17_lattices(B) & -v1_xboole_0(C) & m2_lattice4(C,B) & l3_lattices(B) -> (r2_hidden(A,a_2_1_lattice4(B,C)) <-> (exists D (m1_subset_1(D,k5_finsub_1(u1_struct_0(B))) & r1_tarski(D,k4_lattice4(B,C)) & k2_lattice4(B,D) = A))))) # label(fraenkel_a_2_1_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11959 $T # label(t13_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11960 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (m2_lattice4(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> r2_hidden(k4_lattices(A,C,D),B) & r2_hidden(k3_lattices(A,C,D),B))))))))))) # label(d10_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11961 (all A all B (v10_lattices(A) & v17_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l3_lattices(A) & -v3_struct_0(A) -> m3_lattice4(k3_lattice4(A,B),A))) # label(dt_k3_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11962 (all A (-v3_struct_0(A) & v10_lattices(A) & v15_lattices(A) & l3_lattices(A) & v16_lattices(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v3_filter_0(B) & v10_lattices(B) -> (all C (m1_lattice4(C,B,A) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (v1_lattice4(C,B,A) & r3_lattices(A,k4_lattices(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,D),k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E)),k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,F)) -> r3_lattices(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E),k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,k4_filter_0(B,D,F)))))))))))))))) # label(t34_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11963 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v14_lattices(B) -> (all C (m1_lattice4(C,B,A) -> (v2_lattice4(C,B,A) -> r2_lattice4(B,A,C) & v14_lattices(A)))))))) # label(t25_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11964 (all A all B (-v3_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> m1_subset_1(k4_lattice4(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k4_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11965 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k3_lattice2(u1_struct_0(A),A,B,k5_lattice4(A)) = k7_lattices(A,k1_lattice4(A,B)))))) # label(t46_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11966 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v14_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(C) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(A)) -> k3_lattice2(u1_struct_0(A),A,k8_setwiseo(u1_struct_0(A),u1_struct_0(A),C,B),D) = k3_lattice2(u1_struct_0(A),A,B,k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,D)))))))))) # label(t29_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11967 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) & v10_lattices(A) -> m1_subset_1(k2_lattice4(A,B),u1_struct_0(A)))) # label(dt_k2_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11968 (all A (v10_lattices(A) & v16_lattices(A) & l3_lattices(A) & v15_lattices(A) & -v3_struct_0(A) -> (all B (v17_lattices(B) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,B,A) -> (v2_lattice4(C,B,A) -> r4_lattice4(B,A,C) & v17_lattices(A)))))))) # label(t38_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11969 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k7_lattices(A,C),B) & r2_hidden(k4_lattices(A,C,D),B)))))) <-> m3_lattice4(B,A)))))) # label(d14_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11970 $T # label(t2_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11971 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_lattice4(A,k2_setwiseo(u1_struct_0(A),B)) = B)))) # label(t17_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11972 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) -> (k5_lattice4(A) = B <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C) = k7_lattices(A,C)))))))) # label(d17_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11973 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k7_lattices(A,k2_lattice4(A,B)) = k2_lattice2(u1_struct_0(A),A,B,k5_lattice4(A)))))) # label(t48_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11974 (all A (-v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m3_lattice4(D,A) -> (r2_hidden(B,D) & r2_hidden(C,D) -> r2_hidden(k3_lattices(A,B,C),D)))))))))) # label(t39_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11975 (all A (-v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> k7_lattices(A,k6_lattices(A)) = k5_lattices(A))) # label(t36_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11976 (all A (v16_lattices(A) & l3_lattices(A) & v15_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v3_filter_0(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,B,A) -> (v3_lattice4(C,B,A) -> r1_lattice4(B,A,C) & v3_filter_0(A)))))))) # label(t35_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11977 (all A (-v3_struct_0(A) & l3_lattices(A) & v14_lattices(A) & v10_lattices(A) -> k6_lattices(A) = k2_lattice4(A,k1_setwiseo(u1_struct_0(A))))) # label(t26_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11978 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,A,B) -> (r4_lattice4(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k7_lattices(A,D)) = k7_lattices(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D))))))))))) # label(d9_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11979 (all A (-v3_struct_0(A) & l3_lattices(A) & v13_lattices(A) & v10_lattices(A) -> k1_lattice4(A,k1_setwiseo(u1_struct_0(A))) = k5_lattices(A))) # label(t23_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11980 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (exists B (-v1_xboole_0(B) & m2_lattice4(B,A))))) # label(rc1_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11981 (all A (v10_lattices(A) & l3_lattices(A) & v13_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (v1_funct_2(D,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(D) -> k3_lattices(A,k2_lattice2(u1_struct_0(A),A,B,D),k8_funct_2(u1_struct_0(A),u1_struct_0(A),D,C)) = k2_lattice2(u1_struct_0(A),A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C)),D))))))))) # label(t20_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11982 (all A all B (-v3_struct_0(A) & l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) & l3_lattices(A) & v10_lattices(A) -> (exists C m1_lattice4(C,A,B)))) # label(existence_m1_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11983 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,A,B) -> (r1_lattice4(A,B,C) <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k4_filter_0(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_filter_0(A,D,E))))))))))))) # label(d6_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11984 (all A -((all B -(v6_ordinal1(B) & (all C -(r2_hidden(C,A) & (all D (r2_hidden(D,B) -> r1_tarski(D,C))))) & r1_tarski(B,A) & k1_xboole_0 != B)) & (all B -((all C -(r2_hidden(C,A) & C != B & r1_tarski(B,C))) & r2_hidden(B,A))) & k1_xboole_0 != A)) # label(t3_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11985 (all A (-v3_struct_0(A) & l3_lattices(A) & v13_lattices(A) & v10_lattices(A) -> (all B (m2_lattice4(B,A) -> (r2_hidden(k5_lattices(A),B) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> (r1_tarski(C,B) -> r2_hidden(k1_lattice4(A,C),B))))))))) # label(t24_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11986 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> k2_lattice4(A,B) = k3_lattice2(u1_struct_0(A),A,B,k7_grcat_1(A)))))) # label(d13_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11987 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m2_lattice4(B,A) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11988 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & v11_lattices(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,B,A) -> (v2_lattice4(C,B,A) -> v11_lattices(A)))))))) # label(t18_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11989 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_lattice4(C,A,B) -> (r3_lattice4(A,B,C) <-> k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k5_lattices(A)) = k5_lattices(B)))))))) # label(d8_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11990 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> m3_lattice4(u1_struct_0(A),A))) # label(t41_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11991 (all A (-v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> (all B (m3_lattice4(B,A) -> -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m3_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11992 $T # label(d11_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11993 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k4_lattice4(A,B) = a_2_0_lattice4(A,B))))) # label(d16_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11994 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v2_lattice4(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (exists E (k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) = D & m1_subset_1(E,u1_struct_0(A))))))))))))) # label(t9_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11995 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k1_lattice4(A,k2_setwiseo(u1_struct_0(A),B)))))) # label(t16_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11996 (all A (v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> k7_lattices(A,k5_lattices(A)) = k6_lattices(A))) # label(t37_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11997 (all A all B (v10_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> -v1_xboole_0(k4_lattice4(A,B)))) # label(fc1_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11998 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (v2_funct_1(C) <-> v1_lattice4(C,A,B)))))))) # label(d2_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 11999 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_lattice4(C,A,B) -> (v1_lattice4(C,A,B) & v2_lattice4(C,A,B) <-> v3_lattice4(C,A,B)))))))) # label(d4_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 12000 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (r1_filter_1(A,B) <-> (exists C (m1_lattice4(C,A,B) & v3_lattice4(C,A,B)))))))) # label(d5_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 12001 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m3_lattice4(C,A) -> (C = k3_lattice4(A,B) <-> (all D (m3_lattice4(D,A) -> (r1_tarski(B,D) -> r1_tarski(C,D)))) & r1_tarski(B,C)))))))) # label(d15_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 12002 $T # label(t12_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 12003 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_filter_0(B,A) -> m2_lattice4(B,A))))) # label(t11_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 12004 (all A (v16_lattices(A) & l3_lattices(A) & v15_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & v3_filter_0(B) & -v3_struct_0(B) -> (all C (m1_lattice4(C,B,A) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> r3_lattices(A,k4_lattices(A,k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,D),k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,k4_filter_0(B,D,E))),k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E)))))))))))) # label(t33_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 12005 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k4_lattices(A,D,E)) = k4_lattices(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) & k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k3_lattices(A,D,E)) = k3_lattices(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)))))) <-> m1_lattice4(C,A,B)))))))) # label(d1_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 12006 (all A (v14_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k4_lattices(A,k2_lattice4(A,B),C) = k2_lattice4(A,k5_setwiseo(u1_struct_0(A),B,k2_setwiseo(u1_struct_0(A),C))))))))) # label(t28_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 12007 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_lattice4(B,A) & -v1_xboole_0(B) -> (r2_hidden(k6_lattices(A),B) & r2_hidden(k5_lattices(A),B) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> -(r1_tarski(C,k4_lattice4(A,B)) & (all D (m1_subset_1(D,k5_finsub_1(u1_struct_0(A))) -> -(r1_tarski(D,k4_lattice4(A,B)) & k2_lattice4(A,D) = k2_lattice2(u1_struct_0(A),A,C,k5_lattice4(A))))))))))))) # label(t49_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 12008 (all A all B (-v3_struct_0(A) & m1_subset_1(B,k5_finsub_1(u1_struct_0(A))) & l3_lattices(A) & v10_lattices(A) -> m1_subset_1(k1_lattice4(A,B),u1_struct_0(A)))) # label(dt_k1_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 12009 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) -> k3_lattice2(u1_struct_0(A),A,k5_setwiseo(u1_struct_0(A),C,k2_setwiseo(u1_struct_0(A),B)),k5_lattice4(A)) = k4_lattices(A,k3_lattice2(u1_struct_0(A),A,C,k5_lattice4(A)),k7_lattices(A,B)))))))) # label(t47_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 12010 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,k4_lattice4(A,B)) <-> (exists D ((exists E (m1_subset_1(E,u1_struct_0(A)) & C = k3_lattices(A,k7_lattices(A,D),E) & r2_hidden(D,B) & r2_hidden(E,B))) & m1_subset_1(D,u1_struct_0(A))))))))))) # label(t44_lattice4) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 12011 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> k1_lopclset(A) = u1_struct_0(k6_lopclset(A)))) # label(t13_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.16 12012 (all A all B (-v3_struct_0(B) & v10_lattices(B) & v17_lattices(B) & -v3_realset2(B) & l3_lattices(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> ((exists D (r2_hidden(C,D) & v1_filter_0(D,B) & A = D & m1_filter_0(D,B))) <-> r2_hidden(A,k1_funct_1(k8_lopclset(B),C))))))) # label(t20_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12013 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,k1_lopclset(A)) -> v3_pre_topc(B,A)))))) # label(t2_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12014 (all A (-v3_struct_0(A) & v10_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_tarski(a_2_0_lopclset(A,B),k7_lopclset(A)))))) # label(t19_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12015 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> m2_relset_1(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & v1_funct_2(k5_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & v1_funct_1(k5_lopclset(A)))) # label(dt_k5_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12016 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m2_subset_1(B,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> m2_subset_1(k3_subset_1(u1_struct_0(A),B),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)))))) # label(t9_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12017 (all A (v17_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(k12_lopclset(A)) & l3_lattices(k12_lopclset(A)) & v10_lattices(k12_lopclset(A)))) # label(dt_k12_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12018 $T # label(t1_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12019 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> -v1_xboole_0(k1_lopclset(A)))) # label(fc1_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12020 (all A all B all C (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) -> k2_lopclset(A,B,B) = B)) # label(idempotence_k2_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12021 $T # label(t17_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12022 (all A all B all C (-v3_struct_0(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) & l1_pre_topc(A) & v2_pre_topc(A) -> B = k3_lopclset(A,B,B))) # label(idempotence_k3_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12023 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) -> v2_funct_1(k9_lopclset(A)))) # label(t29_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12024 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(k6_lopclset(A))) -> (all C (m1_subset_1(C,u1_struct_0(k6_lopclset(A))) -> k3_xboole_0(B,C) = k4_lattices(k6_lopclset(A),B,C))))))) # label(t12_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12025 (all A all B (v17_lattices(B) & l3_lattices(B) & -v3_realset2(B) & v10_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_1_2_lopclset(B)) <-> (exists C (A = k5_setfam_1(k7_lopclset(B),C) & r1_tarski(C,k10_lopclset(B)) & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k7_lopclset(B))))))))) # label(fraenkel_a_1_2_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12026 (all A (v10_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_filter_0(C,A) -> (r2_hidden(C,k1_funct_1(k8_lopclset(A),B)) <-> v1_filter_0(C,A) & r2_hidden(B,C)))))))) # label(t21_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12027 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & v4_pre_topc(B,A) -> r2_hidden(B,k1_lopclset(A))))))) # label(t4_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12028 $T # label(t31_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12029 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) -> k8_lopclset(A) = k13_lopclset(A))) # label(redefinition_k13_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12030 (all A (v17_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_filter_0(C,A) -> -(v1_filter_0(C,A) & -r2_hidden(C,k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),B)) & r2_hidden(B,C)))))))) # label(t27_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12031 (all A (l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> r1_tarski(k10_lopclset(A),k1_zfmisc_1(k7_lopclset(A))))) # label(t25_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12032 $T # label(t33_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12033 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)) = k6_lopclset(A))) # label(d4_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12034 (all A all B (-v3_struct_0(B) & -v3_realset2(B) & l3_lattices(B) & v17_lattices(B) & v10_lattices(B) -> ((exists C (m1_filter_0(C,B) & A = C & v1_filter_0(C,B))) <-> r2_hidden(A,a_1_1_lopclset(B))))) # label(fraenkel_a_1_1_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12035 (all A all B (-v3_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) & -v3_realset2(B) -> ((exists C (m1_filter_0(C,B) & C = A & v1_filter_0(C,B))) <-> r2_hidden(A,k7_lopclset(B))))) # label(t18_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12036 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & m2_relset_1(B,k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) -> ((all C (m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> (all D (m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> k2_lopclset(A,C,D) = k2_binop_1(k1_lopclset(A),k1_lopclset(A),k1_lopclset(A),B,C,D))))) <-> k4_lopclset(A) = B))))) # label(d2_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12037 (all A (v10_lattices(A) & v17_lattices(A) & -v3_realset2(A) & l3_lattices(A) & -v3_struct_0(A) -> m1_lattice4(k13_lopclset(A),A,k12_lopclset(A)))) # label(dt_k13_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12038 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)))) -> (all C (m1_subset_1(C,u1_struct_0(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)))) -> (all D (m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> (all E (m2_subset_1(E,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> (E = C & D = B -> k1_lattices(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)),B,C) = k2_lopclset(A,D,E)))))))))))) # label(t5_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12039 (all A (-v3_struct_0(A) & v17_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v10_lattices(A) -> k10_lopclset(A) = k1_lopclset(k11_lopclset(A)))) # label(t40_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12040 (all A (-v3_struct_0(A) & l3_lattices(A) & v13_lattices(A) & v10_lattices(A) -> (all B (m1_filter_0(B,A) -> -(r2_hidden(k5_lattices(A),B) & v1_filter_0(B,A)))))) # label(t35_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12041 (all A (v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) & -v3_struct_0(A) -> v1_pre_topc(k11_lopclset(A)) & v2_pre_topc(k11_lopclset(A)) & -v3_struct_0(k11_lopclset(A)))) # label(fc4_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12042 (all A all B (-v3_struct_0(B) & l3_lattices(B) & -v3_realset2(B) & v17_lattices(B) & v10_lattices(B) -> -((all C (m1_subset_1(C,k5_finsub_1(A)) -> k3_tarski(C) != k7_lopclset(B))) & m1_subset_1(A,k1_zfmisc_1(k10_lopclset(B))) & k7_lopclset(B) = k3_tarski(A)))) # label(t38_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12043 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> v1_funct_1(k4_lopclset(A)) & m2_relset_1(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & v1_funct_2(k4_lopclset(A),k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)))) # label(dt_k4_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12044 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k7_lattices(A,B)) = k4_xboole_0(k7_lopclset(A),k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),B)))))) # label(t28_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12045 (all A all B all C (-v3_struct_0(A) & v2_pre_topc(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) & l1_pre_topc(A) -> m2_subset_1(k2_lopclset(A,B,C),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)))) # label(dt_k2_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12046 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,k1_lopclset(A)) -> v4_pre_topc(B,A)))))) # label(t3_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12047 (all A all B all C (-v3_struct_0(A) & v2_pre_topc(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) & l1_pre_topc(A) -> k3_lopclset(A,B,C) = k3_xboole_0(B,C))) # label(redefinition_k3_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12048 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> m2_subset_1(k2_pre_topc(A),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)))) # label(t8_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12049 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> k1_lopclset(A) = a_1_0_lopclset(A))) # label(d1_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12050 (all A (l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v3_lattice4(k13_lopclset(A),A,k12_lopclset(A)))) # label(t42_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12051 (all A (v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_funct_1(k8_lopclset(A),k3_lattices(A,B,C)) = k2_xboole_0(k1_funct_1(k8_lopclset(A),B),k1_funct_1(k8_lopclset(A),C)))))))) # label(t24_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12052 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> m1_subset_1(k1_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k1_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12053 (all A (-v1_xboole_0(A) -> -(all B (m1_subset_1(B,k5_finsub_1(A)) -> v1_xboole_0(B))))) # label(t32_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12054 (all A (-v3_realset2(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v1_funct_1(k8_lopclset(A)) & v1_relat_1(k8_lopclset(A)))) # label(dt_k8_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12055 (all A (-v3_struct_0(A) & v10_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v17_lattices(A) -> k2_relat_1(k13_lopclset(A)) = u1_struct_0(k12_lopclset(A)))) # label(t41_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12056 (all A (v10_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k7_lopclset(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k7_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12057 (all A all B all C (v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(C,k1_lopclset(A)) & m1_subset_1(B,k1_lopclset(A)) & -v3_struct_0(A) -> k2_lopclset(A,C,B) = k2_lopclset(A,B,C))) # label(commutativity_k2_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12058 (all A (v10_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) & -v3_struct_0(A) -> a_1_1_lopclset(A) = k7_lopclset(A))) # label(d5_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12059 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)))) -> (all C (m1_subset_1(C,u1_struct_0(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)))) -> (all D (m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> (all E (m2_subset_1(E,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> (C = E & B = D -> k3_lopclset(A,D,E) = k2_lattices(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A)),B,C)))))))))))) # label(t6_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12060 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(k6_lopclset(A))) -> (all C (m1_subset_1(C,u1_struct_0(k6_lopclset(A))) -> k2_xboole_0(B,C) = k3_lattices(k6_lopclset(A),B,C))))))) # label(t11_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12061 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> m1_subset_1(k1_pre_topc(A),u1_struct_0(k6_lopclset(A))))) # label(t16_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12062 (all A (-v3_struct_0(A) & l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) & v10_lattices(A) -> (exists B (l1_pre_topc(B) & r1_filter_1(A,k6_lopclset(B)) & v2_pre_topc(B) & -v3_struct_0(B))))) # label(t44_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12063 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k5_finsub_1(A)) & -v1_xboole_0(B) & v1_finset_1(B))))) # label(rc2_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12064 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v10_lattices(A) -> k10_lopclset(A) = k2_relat_1(k9_lopclset(A)))) # label(d7_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12065 $T # label(t39_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12066 (all A (l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k8_lopclset(A) = k9_lopclset(A))) # label(redefinition_k9_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12067 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v10_lattices(A) -> l1_pre_topc(k11_lopclset(A)) & v2_pre_topc(k11_lopclset(A)) & v1_pre_topc(k11_lopclset(A)))) # label(dt_k11_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12068 (all A (v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) & -v3_struct_0(A) -> k1_xboole_0 = k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k5_lattices(A)))) # label(t36_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12069 (all A (-v3_struct_0(A) & v17_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v10_lattices(A) -> r1_filter_1(A,k12_lopclset(A)))) # label(t43_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12070 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m2_relset_1(B,k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & v1_funct_2(B,k2_zfmisc_1(k1_lopclset(A),k1_lopclset(A)),k1_lopclset(A)) & v1_funct_1(B) -> (B = k5_lopclset(A) <-> (all C (m2_subset_1(C,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> (all D (m2_subset_1(D,k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)) -> k3_lopclset(A,C,D) = k2_binop_1(k1_lopclset(A),k1_lopclset(A),k1_lopclset(A),B,C,D)))))))))) # label(d3_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12071 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v10_lattices(A) -> v1_funct_1(k9_lopclset(A)) & v1_funct_2(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A))) & m2_relset_1(k9_lopclset(A),u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A))))) # label(dt_k9_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12072 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> v10_lattices(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A))) & l3_lattices(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A))) & -v3_struct_0(g3_lattices(k1_lopclset(A),k4_lopclset(A),k5_lopclset(A))))) # label(t10_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12073 (all A all B all C (v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(C,k1_lopclset(A)) & m1_subset_1(B,k1_lopclset(A)) & -v3_struct_0(A) -> k2_lopclset(A,B,C) = k2_xboole_0(B,C))) # label(redefinition_k2_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12074 (all A all B (-v3_struct_0(B) & l1_pre_topc(B) -> ((exists C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v4_pre_topc(C,B) & v3_pre_topc(C,B) & C = A)) <-> r2_hidden(A,a_1_0_lopclset(B))))) # label(fraenkel_a_1_0_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12075 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> m2_subset_1(k1_pre_topc(A),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)))) # label(t7_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12076 $T # label(dt_k10_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12077 (all A (v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v10_lattices(A) & -v3_struct_0(A) -> k8_funct_2(u1_struct_0(A),k1_zfmisc_1(k7_lopclset(A)),k9_lopclset(A),k6_lattices(A)) = k7_lopclset(A))) # label(t37_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12078 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) -> k6_lopclset(k11_lopclset(A)) = k12_lopclset(A))) # label(d9_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12079 (all A all B all C (-v3_struct_0(A) & m1_subset_1(B,k1_lopclset(A)) & m1_subset_1(C,k1_lopclset(A)) & l1_pre_topc(A) & v2_pre_topc(A) -> m2_subset_1(k3_lopclset(A,B,C),k1_zfmisc_1(u1_struct_0(A)),k1_lopclset(A)))) # label(dt_k3_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12080 (all A (v10_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) & -v3_struct_0(A) -> -v1_xboole_0(k10_lopclset(A)))) # label(fc3_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12081 (all A all B (v17_lattices(B) & l3_lattices(B) & -v3_realset2(B) & v10_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,k10_lopclset(B)) <-> (exists C (m1_subset_1(C,u1_struct_0(B)) & A = k8_funct_2(u1_struct_0(B),k1_zfmisc_1(k7_lopclset(B)),k9_lopclset(B),C)))))) # label(t26_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12082 (all A (-v3_struct_0(A) & l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) & v10_lattices(A) -> k3_tarski(k10_lopclset(A)) = k7_lopclset(A))) # label(t30_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12083 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> m1_subset_1(k2_pre_topc(A),u1_struct_0(k6_lopclset(A))))) # label(t15_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12084 (all A all B all C (-v3_struct_0(A) & v2_pre_topc(A) & m1_subset_1(C,k1_lopclset(A)) & m1_subset_1(B,k1_lopclset(A)) & l1_pre_topc(A) -> k3_lopclset(A,B,C) = k3_lopclset(A,C,B))) # label(commutativity_k3_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12085 (all A (v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_realset2(A) & -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_xboole_0(k1_funct_1(k8_lopclset(A),B),k1_funct_1(k8_lopclset(A),C)) = k1_funct_1(k8_lopclset(A),k4_lattices(A,B,C)))))))) # label(t23_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12086 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> -v3_struct_0(k6_lopclset(A)) & v10_lattices(k6_lopclset(A)) & l3_lattices(k6_lopclset(A)))) # label(dt_k6_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12087 (all A (v17_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(k5_lattices(A),k3_filter_0(A,B)) & (all C (m1_subset_1(C,k5_finsub_1(u1_struct_0(A))) & -v1_xboole_0(C) -> -(r1_tarski(C,B) & k5_lattices(A) = k2_lattice4(A,C))))))))) # label(t34_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12088 (all A (l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (u1_struct_0(A) = k1_relat_1(B) & (all C (m1_subset_1(C,u1_struct_0(A)) -> a_2_0_lopclset(A,C) = k1_funct_1(B,C))) <-> B = k8_lopclset(A)))))) # label(d6_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12089 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> v17_lattices(k6_lopclset(A)))) # label(t14_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12090 (all A (-v3_struct_0(A) & v10_lattices(A) & -v3_realset2(A) & l3_lattices(A) & v17_lattices(A) -> (all B (v1_pre_topc(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (B = k11_lopclset(A) <-> a_1_2_lopclset(A) = u1_pre_topc(B) & u1_struct_0(B) = k7_lopclset(A)))))) # label(d8_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12091 (exists A (l3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v7_lattices(A) & v12_lattices(A) & v14_lattices(A) & v15_lattices(A) & v17_lattices(A) & -v3_realset2(A) & v16_lattices(A) & v13_lattices(A) & v11_lattices(A) & v10_lattices(A) & v9_lattices(A) & v8_lattices(A) & v6_lattices(A) & -v3_struct_0(A))) # label(rc1_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12092 (all A all B all C (-v3_struct_0(B) & v10_lattices(B) & v17_lattices(B) & m1_subset_1(C,u1_struct_0(B)) & l3_lattices(B) & -v3_realset2(B) -> (r2_hidden(A,a_2_0_lopclset(B,C)) <-> (exists D (m1_filter_0(D,B) & A = D & v1_filter_0(D,B) & r2_hidden(C,D)))))) # label(fraenkel_a_2_0_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12093 (all A (-v3_realset2(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_filter_0(D,A) -> (v1_filter_0(D,A) -> (r2_hidden(k3_lattices(A,B,C),D) <-> r2_hidden(C,D) | r2_hidden(B,D))))))))))) # label(t22_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12094 (all A (v10_lattices(A) & l3_lattices(A) & -v3_realset2(A) & v17_lattices(A) & -v3_struct_0(A) -> -v1_xboole_0(k7_lopclset(A)))) # label(fc2_lopclset) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12095 (all A all B all C (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_finseq_1(C,k2_zfmisc_1(A,B)) -> k16_mcart_1(C) = k2_pralg_1(A,B,C))) # label(redefinition_k2_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12096 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k4_finseq_2(D,B) = k4_finseq_2(C,A) -> D = C))))))))) # label(t1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12097 (all A (-v1_xboole_0(A) -> (all B (v1_pralg_1(B) & m1_pboole(B,A) & v3_pralg_1(B) -> k25_pralg_1(A,B) = g1_unialg_1(k4_card_3(k12_pralg_1(A,B)),k24_pralg_1(A,B)))))) # label(d24_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12098 (all A (-v3_struct_0(A) & v8_unialg_1(A) & l1_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) -> (all B (v6_unialg_1(B) & v7_unialg_1(B) & l1_unialg_1(B) & v8_unialg_1(B) & -v3_struct_0(B) -> (r1_unialg_2(A,B) -> v8_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) & l1_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) & v7_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) & v6_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) & v3_unialg_1(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))) & -v3_struct_0(g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B)))))))) # label(t2_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12099 (all A exists B (v1_funct_1(B) & v2_pralg_1(B) & v1_relat_1(B) & m1_pboole(B,A))) # label(rc4_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12100 (all A (-v1_xboole_0(A) -> (exists B (m1_pboole(B,A) & v1_relat_1(B) & v3_pralg_1(B) & v2_pralg_1(B) & v1_pralg_1(B) & v1_funct_1(B))))) # label(rc5_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12101 (all A (l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v7_unialg_1(B) & l1_unialg_1(B) & v8_unialg_1(B) & v6_unialg_1(B) -> (r1_unialg_2(A,B) -> (all C (m2_unialg_2(C,u1_struct_0(A),k1_unialg_2(A)) -> (all D (m2_unialg_2(D,u1_struct_0(B),k1_unialg_2(B)) -> (all E (m2_unialg_2(E,u1_struct_0(k5_pralg_1(A,B)),k1_unialg_2(k5_pralg_1(A,B))) -> (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (k1_funct_1(u1_unialg_1(B),F) = D & k1_funct_1(u1_unialg_1(k5_pralg_1(A,B)),F) = E & r2_hidden(F,k4_finseq_1(u1_unialg_1(A))) & C = k1_funct_1(u1_unialg_1(A),F) -> k2_unialg_1(u1_struct_0(B),D) = k2_unialg_1(u1_struct_0(k5_pralg_1(A,B)),E) & E = k3_pralg_1(u1_struct_0(A),u1_struct_0(B),C,D) & k2_unialg_1(u1_struct_0(A),C) = k2_unialg_1(u1_struct_0(k5_pralg_1(A,B)),E))))))))))))))) # label(t6_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12102 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) & v2_relat_1(B) -> (all C (m1_pralg_1(C,A,B) & v4_pralg_1(C) -> (all D (-v1_xboole_0(D) & v1_funct_1(D) & v1_unialg_1(D,k4_card_3(B)) & m2_relset_1(D,k3_finseq_2(k4_card_3(B)),k4_card_3(B)) & v2_unialg_1(D,k4_card_3(B)) -> (k4_finseq_2(k20_pralg_1(A,B,C),k4_card_3(B)) = k1_relat_1(D) & (all E (m2_finseq_2(E,k4_card_3(B),k3_finseq_2(k4_card_3(B))) -> (r2_hidden(E,k1_relat_1(D)) -> (k1_xboole_0 = k4_finseq_1(E) -> k16_pralg_1(A,C,k21_pralg_1(A,B)) = k1_funct_1(D,E)) & (k4_finseq_1(E) != k1_xboole_0 -> (all F (-v1_xboole_0(F) -> (all G (m1_pboole(G,k2_zfmisc_1(A,F)) -> (G = k18_pralg_1(k4_finseq_1(E),A,k17_pralg_1(A,B,E)) & k4_finseq_1(E) = F -> k1_funct_1(D,E) = k16_pralg_1(A,C,k19_pralg_1(A,F,G))))))))))) <-> k22_pralg_1(A,B,C) = D))))))))) # label(d21_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12103 (all A all B all C all D (m1_pboole(B,A) & m1_pralg_1(C,A,B) & m1_subset_1(D,A) & v2_relat_1(B) & -v1_xboole_0(A) -> -v1_xboole_0(k14_pralg_1(A,B,C,D)) & m2_relset_1(k14_pralg_1(A,B,C,D),k3_finseq_2(k1_funct_1(B,D)),k1_funct_1(B,D)) & v2_unialg_1(k14_pralg_1(A,B,C,D),k1_funct_1(B,D)) & v1_unialg_1(k14_pralg_1(A,B,C,D),k1_funct_1(B,D)) & v1_funct_1(k14_pralg_1(A,B,C,D)))) # label(dt_k14_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12104 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v2_unialg_1(C,A) & m2_relset_1(C,k3_finseq_2(A),A) & v1_unialg_1(C,A) & v1_funct_1(C) & -v1_xboole_0(C) -> (all D (m2_relset_1(D,k3_finseq_2(B),B) & v2_unialg_1(D,B) & v1_unialg_1(D,B) & v1_funct_1(D) & -v1_xboole_0(D) -> (k2_unialg_1(B,D) = k2_unialg_1(A,C) -> (all E (-v1_xboole_0(E) & v1_funct_1(E) & m2_relset_1(E,k3_finseq_2(k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)) & v2_unialg_1(E,k2_zfmisc_1(A,B)) & v1_unialg_1(E,k2_zfmisc_1(A,B)) -> (k4_finseq_2(k2_unialg_1(A,C),k2_zfmisc_1(A,B)) = k1_relat_1(E) & (all F (m2_finseq_1(F,k2_zfmisc_1(A,B)) -> (r2_hidden(F,k1_relat_1(E)) -> k4_tarski(k1_funct_1(C,k1_pralg_1(A,B,F)),k1_funct_1(D,k2_pralg_1(A,B,F))) = k1_funct_1(E,F)))) <-> E = k3_pralg_1(A,B,C,D))))))))))))) # label(d3_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12105 (all A all B all C (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_finseq_1(C,k2_zfmisc_1(A,B)) -> k15_mcart_1(C) = k1_pralg_1(A,B,C))) # label(redefinition_k1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12106 (all A (v8_unialg_1(A) & l1_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) & -v3_struct_0(A) -> (all B (v6_unialg_1(B) & v8_unialg_1(B) & l1_unialg_1(B) & v7_unialg_1(B) & -v3_struct_0(B) -> (r1_unialg_2(A,B) -> k5_pralg_1(A,B) = g1_unialg_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),k4_pralg_1(A,B))))))) # label(d5_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12107 (all A (-v3_struct_0(A) & l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) -> (all B (-v3_struct_0(B) & v8_unialg_1(B) & l1_unialg_1(B) & v7_unialg_1(B) & v6_unialg_1(B) -> (r1_unialg_2(A,B) -> (all C (m2_finseq_1(C,k4_partfun1(k13_finseq_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))) -> (k3_finseq_1(u1_unialg_1(A)) = k3_finseq_1(C) & (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(C)) -> (all E (v2_unialg_1(E,u1_struct_0(A)) & m2_relset_1(E,k3_finseq_2(u1_struct_0(A)),u1_struct_0(A)) & v1_unialg_1(E,u1_struct_0(A)) & v1_funct_1(E) & -v1_xboole_0(E) -> (all F (v2_unialg_1(F,u1_struct_0(B)) & m2_relset_1(F,k3_finseq_2(u1_struct_0(B)),u1_struct_0(B)) & v1_unialg_1(F,u1_struct_0(B)) & v1_funct_1(F) & -v1_xboole_0(F) -> (k1_funct_1(u1_unialg_1(B),D) = F & k1_funct_1(u1_unialg_1(A),D) = E -> k3_pralg_1(u1_struct_0(A),u1_struct_0(B),E,F) = k1_funct_1(C,D))))))))) <-> k4_pralg_1(A,B) = C)))))))) # label(d4_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12108 (all A (m1_finseq_1(A,k5_numbers) & -v1_xboole_0(A) -> v3_unialg_1(k9_pralg_1(A)) & v6_unialg_1(k9_pralg_1(A)) & v7_unialg_1(k9_pralg_1(A)) & l1_unialg_1(k9_pralg_1(A)) & v8_unialg_1(k9_pralg_1(A)) & -v3_struct_0(k9_pralg_1(A)))) # label(dt_k9_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12109 (all A all B all C (m1_pboole(C,k2_zfmisc_1(A,B)) -> m1_pboole(k18_pralg_1(A,B,C),k2_zfmisc_1(B,A)))) # label(dt_k18_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12110 (all A (-v1_xboole_0(A) -> (exists B (-v1_xboole_0(B) & v1_relat_1(B) & v1_finseq_1(B) & v1_funct_1(B) & m1_finseq_1(B,A))))) # label(rc1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12111 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_pralg_1(A) -> v1_funct_1(A) & v2_pralg_1(A) & v1_relat_1(A))) # label(cc1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12112 (all A all B all C (v2_relat_1(B) & m1_finseq_1(C,k4_card_3(B)) & m1_pboole(B,A) & -v1_xboole_0(A) -> k4_funct_5(C) = k17_pralg_1(A,B,C))) # label(redefinition_k17_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12113 (all A all B (-v1_xboole_0(A) & v2_relat_1(B) & m1_pboole(B,A) -> -v1_xboole_0(k4_card_3(B)) & v1_fraenkel(k4_card_3(B)))) # label(fc3_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12114 (all A (m2_finseq_1(A,k5_numbers) -> v4_unialg_1(k8_pralg_1(A),k1_tarski(k1_xboole_0)) & v2_relat_1(k8_pralg_1(A)) & v5_unialg_1(k8_pralg_1(A),k1_tarski(k1_xboole_0)))) # label(t10_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12115 (all A all B (v1_relat_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_funcop_1(A) & v1_funct_1(A) -> v1_funct_1(k15_pralg_1(A,B)) & v1_relat_1(k15_pralg_1(A,B)))) # label(dt_k15_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12116 (all A all B all C (m1_pboole(C,k2_zfmisc_1(A,B)) -> k2_funct_4(C) = k18_pralg_1(A,B,C))) # label(redefinition_k18_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12117 (all A all B (v2_relat_1(B) & m1_pboole(B,A) & -v1_xboole_0(A) -> (exists C (m1_pralg_1(C,A,B) & v1_relat_1(C) & v1_funct_1(C) & v4_pralg_1(C) & v1_funcop_1(C))))) # label(rc6_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12118 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (C = k21_pralg_1(A,B) <-> (all D (r2_hidden(D,A) -> k1_subset_1(k1_funct_1(B,D)) = k1_funct_1(C,D)))))))) # label(d20_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12119 (all A all B all C all D (-v1_xboole_0(D) & m1_relset_1(D,k3_finseq_2(B),B) & v2_unialg_1(D,B) & v1_unialg_1(D,B) & v1_funct_1(D) & m1_relset_1(C,k3_finseq_2(A),A) & v2_unialg_1(C,A) & v1_unialg_1(C,A) & v1_funct_1(C) & -v1_xboole_0(C) & -v1_xboole_0(B) & -v1_xboole_0(A) -> -v1_xboole_0(k3_pralg_1(A,B,C,D)) & v1_unialg_1(k3_pralg_1(A,B,C,D),k2_zfmisc_1(A,B)) & v2_unialg_1(k3_pralg_1(A,B,C,D),k2_zfmisc_1(A,B)) & m2_relset_1(k3_pralg_1(A,B,C,D),k3_finseq_2(k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)) & v1_funct_1(k3_pralg_1(A,B,C,D)))) # label(dt_k3_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12120 (all A all B (-v3_struct_0(A) & v7_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) & -v3_struct_0(B) & l1_unialg_1(B) & v8_unialg_1(B) & v7_unialg_1(B) & v6_unialg_1(B) & v6_unialg_1(A) -> m2_finseq_1(k4_pralg_1(A,B),k4_partfun1(k13_finseq_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))))) # label(dt_k4_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.17 12121 (all A all B all C all D (-v1_xboole_0(A) & m1_pboole(B,A) & m1_pralg_1(C,A,B) & m1_subset_1(D,A) & v2_relat_1(B) -> k1_funct_1(C,D) = k14_pralg_1(A,B,C,D))) # label(redefinition_k14_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12122 (all A all B (-v1_xboole_0(A) & v2_relat_1(B) & m1_pboole(B,A) -> (exists C m1_pralg_1(C,A,B)))) # label(existence_m1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12123 (all A all B all C (m1_pboole(C,A) & m1_pboole(B,A) & v1_funcop_1(B) -> k16_pralg_1(A,B,C) = k15_pralg_1(B,C))) # label(redefinition_k16_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12124 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) & v3_pralg_1(B) & v1_pralg_1(B) -> (all C (m2_finseq_1(C,k4_partfun1(k13_finseq_1(k4_card_3(k12_pralg_1(A,B))),k4_card_3(k12_pralg_1(A,B)))) -> (k24_pralg_1(A,B) = C <-> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (r2_hidden(D,k4_finseq_1(C)) -> k1_funct_1(C,D) = k22_pralg_1(A,k12_pralg_1(A,B),k23_pralg_1(A,B,D))))) & k3_finseq_1(k13_pralg_1(A,B)) = k3_finseq_1(C)))))))) # label(d23_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12125 (all A all B all C (-v1_xboole_0(A) & v1_pralg_1(B) & v4_ordinal2(C) & m1_pboole(B,A) & v3_pralg_1(B) -> m1_pralg_1(k23_pralg_1(A,B,C),A,k12_pralg_1(A,B)) & v4_pralg_1(k23_pralg_1(A,B,C)))) # label(dt_k23_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12126 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> k9_funcop_1(k2_zfmisc_1(A,B),B,A,k6_pralg_1(A,B)) = k2_zfmisc_1(B,A))))) # label(t3_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12127 (all A (v4_ordinal2(A) -> v1_funct_1(k7_pralg_1(A)) & m2_relset_1(k7_pralg_1(A),k3_finseq_2(k1_tarski(k1_xboole_0)),k1_tarski(k1_xboole_0)))) # label(dt_k7_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12128 (exists A (v1_relat_1(A) & v1_funct_1(A) & v1_pralg_1(A))) # label(rc3_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12129 (all A all B (-v1_xboole_0(A) & v1_pralg_1(B) & m1_pboole(B,A) & v3_pralg_1(B) -> -v3_struct_0(k25_pralg_1(A,B)) & v6_unialg_1(k25_pralg_1(A,B)) & v7_unialg_1(k25_pralg_1(A,B)) & v8_unialg_1(k25_pralg_1(A,B)) & l1_unialg_1(k25_pralg_1(A,B)) & v3_unialg_1(k25_pralg_1(A,B)))) # label(dt_k25_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12130 (all A all B all C (v1_pralg_1(B) & m1_subset_1(C,A) & m1_pboole(B,A) & -v1_xboole_0(A) -> v8_unialg_1(k11_pralg_1(A,B,C)) & l1_unialg_1(k11_pralg_1(A,B,C)) & v7_unialg_1(k11_pralg_1(A,B,C)) & v6_unialg_1(k11_pralg_1(A,B,C)) & -v3_struct_0(k11_pralg_1(A,B,C)))) # label(dt_k11_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12131 (all A all B all C (v1_pralg_1(B) & m1_subset_1(C,A) & m1_pboole(B,A) & -v1_xboole_0(A) -> k1_funct_1(B,C) = k11_pralg_1(A,B,C))) # label(redefinition_k11_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12132 (all A (m2_finseq_1(A,k5_numbers) & -v1_xboole_0(A) -> g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A)) = k9_pralg_1(A))) # label(d9_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12133 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_pboole(B,A) & v2_pralg_1(B) -> k10_pralg_1(A,B,C) = k1_funct_1(B,C))) # label(redefinition_k10_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12134 (all A all B (m1_pboole(B,A) & v1_pralg_1(B) & -v1_xboole_0(A) -> v1_funct_1(k12_pralg_1(A,B)) & -v3_relat_1(k12_pralg_1(A,B)) & v2_relat_1(k12_pralg_1(A,B)) & v1_relat_1(k12_pralg_1(A,B)))) # label(fc2_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12135 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v2_pralg_1(A) <-> (all B (r2_hidden(B,k1_relat_1(A)) -> l1_struct_0(k1_funct_1(A,B))))))) # label(d11_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12136 (all A (-v1_xboole_0(A) -> (all B (v2_relat_1(B) & m1_pboole(B,A) -> (all C (v4_pralg_1(C) & m1_pralg_1(C,A,B) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> ((all E (m1_subset_1(E,A) -> D = k2_unialg_1(k1_funct_1(B,E),k14_pralg_1(A,B,C,E)))) <-> D = k20_pralg_1(A,B,C)))))))))) # label(d19_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12137 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> m2_relset_1(k6_pralg_1(A,B),k2_zfmisc_1(A,B),k2_zfmisc_1(B,A)) & v1_funct_2(k6_pralg_1(A,B),k2_zfmisc_1(A,B),k2_zfmisc_1(B,A)) & v1_funct_1(k6_pralg_1(A,B)))) # label(dt_k6_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12138 (all A all B all C (m1_finseq_1(C,k2_zfmisc_1(A,B)) & -v1_xboole_0(B) & -v1_xboole_0(A) -> m2_finseq_1(k1_pralg_1(A,B,C),A))) # label(dt_k1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12139 (all A all B all C (m1_pboole(B,A) & v4_pralg_1(C) & m1_pralg_1(C,A,B) & v2_relat_1(B) & -v1_xboole_0(A) -> -v1_xboole_0(k22_pralg_1(A,B,C)) & v1_funct_1(k22_pralg_1(A,B,C)) & v1_unialg_1(k22_pralg_1(A,B,C),k4_card_3(B)) & m2_relset_1(k22_pralg_1(A,B,C),k3_finseq_2(k4_card_3(B)),k4_card_3(B)) & v2_unialg_1(k22_pralg_1(A,B,C),k4_card_3(B)))) # label(dt_k22_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12140 (all A (m2_finseq_1(A,k5_numbers) -> (all B (m2_finseq_1(B,k4_partfun1(k13_finseq_1(k1_tarski(k1_xboole_0)),k1_tarski(k1_xboole_0))) -> (B = k8_pralg_1(A) <-> (all C (m2_subset_1(C,k1_numbers,k5_numbers) -> (r2_hidden(C,k4_finseq_1(B)) -> (all D (m2_subset_1(D,k1_numbers,k5_numbers) -> (k1_funct_1(A,C) = D -> k1_funct_1(B,C) = k7_pralg_1(D))))))) & k3_finseq_1(A) = k3_finseq_1(B)))))) # label(d8_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12141 (all A all B all C (-v1_xboole_0(B) & m1_pboole(C,k2_zfmisc_1(A,B)) -> k3_funct_5(C) = k19_pralg_1(A,B,C))) # label(redefinition_k19_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12142 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(C,A) & m1_pboole(B,A) & v2_pralg_1(B) -> l1_struct_0(k10_pralg_1(A,B,C)))) # label(dt_k10_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12143 (all A all B (v3_pralg_1(B) & m1_pboole(B,A) & v1_pralg_1(B) & -v1_xboole_0(A) -> m2_finseq_1(k24_pralg_1(A,B),k4_partfun1(k13_finseq_1(k4_card_3(k12_pralg_1(A,B))),k4_card_3(k12_pralg_1(A,B)))))) # label(dt_k24_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12144 (all A all B (-v3_struct_0(A) & v7_unialg_1(A) & -v3_struct_0(B) & l1_unialg_1(B) & v8_unialg_1(B) & v7_unialg_1(B) & v6_unialg_1(B) & l1_unialg_1(A) & v8_unialg_1(A) & v6_unialg_1(A) -> v6_unialg_1(k5_pralg_1(A,B)) & v7_unialg_1(k5_pralg_1(A,B)) & v8_unialg_1(k5_pralg_1(A,B)) & l1_unialg_1(k5_pralg_1(A,B)) & v3_unialg_1(k5_pralg_1(A,B)) & -v3_struct_0(k5_pralg_1(A,B)))) # label(dt_k5_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12145 (all A (-v1_xboole_0(A) -> (all B (v3_pralg_1(B) & m1_pboole(B,A) & v1_pralg_1(B) -> (all C (v4_ordinal2(C) -> (r2_hidden(C,k4_finseq_1(k13_pralg_1(A,B))) -> (all D (m1_pralg_1(D,A,k12_pralg_1(A,B)) & v4_pralg_1(D) -> (k23_pralg_1(A,B,C) = D <-> (all E (m1_subset_1(E,A) -> (all F (m2_unialg_2(F,u1_struct_0(k11_pralg_1(A,B,E)),k1_unialg_2(k11_pralg_1(A,B,E))) -> (k1_funct_1(u1_unialg_1(k11_pralg_1(A,B,E)),C) = F -> F = k14_pralg_1(A,k12_pralg_1(A,B),D,E)))))))))))))))) # label(d22_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12146 (all A (-v1_xboole_0(A) -> (all B (v3_pralg_1(B) & m1_pboole(B,A) & v1_pralg_1(B) -> (all C (m2_finseq_1(C,k5_numbers) -> (k13_pralg_1(A,B) = C <-> (all D (m1_subset_1(D,A) -> k3_unialg_1(k11_pralg_1(A,B,D)) = C))))))))) # label(d14_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12147 (all A all B (-v1_xboole_0(A) & v2_relat_1(B) & m1_pboole(B,A) -> (all C (m1_pralg_1(C,A,B) -> v1_funcop_1(C) & m1_pboole(C,A))))) # label(dt_m1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12148 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_1(C,k2_zfmisc_1(A,B)) -> (all D (m2_finseq_1(D,A) -> ((all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(D)) -> k1_funct_1(D,E) = k1_mcart_1(k1_funct_1(C,E))))) & k3_finseq_1(D) = k3_finseq_1(C) <-> D = k1_pralg_1(A,B,C)))))))))) # label(d1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12149 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B all C (r2_hidden(B,k1_relat_1(A)) & r2_hidden(C,k1_relat_1(A)) -> (all D (v6_unialg_1(D) & v7_unialg_1(D) & l1_unialg_1(D) & v8_unialg_1(D) & -v3_struct_0(D) -> (all E (v6_unialg_1(E) & v8_unialg_1(E) & l1_unialg_1(E) & v7_unialg_1(E) & -v3_struct_0(E) -> (k1_funct_1(A,B) = D & E = k1_funct_1(A,C) -> k3_unialg_1(D) = k3_unialg_1(E)))))))) <-> v3_pralg_1(A)))) # label(d12_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12150 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) & v2_relat_1(B) -> (all C (m1_pralg_1(C,A,B) -> (v4_pralg_1(C) <-> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,A) -> k2_unialg_1(k1_funct_1(B,E),k14_pralg_1(A,B,C,E)) = k2_unialg_1(k1_funct_1(B,D),k14_pralg_1(A,B,C,D))))))))))))) # label(t12_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12151 (all A all B all C (v1_funcop_1(B) & m1_pboole(B,A) & m1_pboole(C,A) -> m1_pboole(k16_pralg_1(A,B,C),A))) # label(dt_k16_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12152 (all A all B (m1_pboole(B,A) -> m1_pboole(k21_pralg_1(A,B),A))) # label(dt_k21_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12153 (all A all B all C (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_finseq_1(C,k2_zfmisc_1(A,B)) -> m2_finseq_1(k2_pralg_1(A,B,C),B))) # label(dt_k2_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12154 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,B),k2_zfmisc_1(B,A)) & m2_relset_1(C,k2_zfmisc_1(A,B),k2_zfmisc_1(B,A)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,k2_zfmisc_1(A,B)) -> k8_funct_2(k2_zfmisc_1(A,B),k2_zfmisc_1(B,A),C,D) = k1_domain_1(B,A,k3_domain_1(A,B,D),k2_domain_1(A,B,D)))) <-> k6_pralg_1(A,B) = C))))))) # label(d6_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12155 (all A (v4_ordinal2(A) -> A = k2_unialg_1(k1_tarski(k1_xboole_0),k7_pralg_1(A)))) # label(t9_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12156 (all A (v7_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) & v6_unialg_1(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v6_unialg_1(B) & v7_unialg_1(B) & v8_unialg_1(B) & l1_unialg_1(B) -> (all C (v8_unialg_1(C) & l1_unialg_1(C) & v7_unialg_1(C) & v6_unialg_1(C) & -v3_struct_0(C) -> (all D (-v3_struct_0(D) & l1_unialg_1(D) & v8_unialg_1(D) & v7_unialg_1(D) & v6_unialg_1(D) -> (m3_unialg_2(A,B) & m3_unialg_2(C,D) & r1_unialg_2(B,D) -> m3_unialg_2(k5_pralg_1(A,C),k5_pralg_1(B,D))))))))))) # label(t8_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12157 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_finseq_1(C,k2_zfmisc_1(A,B)) -> (all D (m2_finseq_1(D,B) -> (k3_finseq_1(D) = k3_finseq_1(C) & (all E (m2_subset_1(E,k1_numbers,k5_numbers) -> (r2_hidden(E,k4_finseq_1(D)) -> k2_mcart_1(k1_funct_1(C,E)) = k1_funct_1(D,E)))) <-> D = k2_pralg_1(A,B,C)))))))))) # label(d2_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12158 (all A all B all C (m1_finseq_1(C,k4_card_3(B)) & m1_pboole(B,A) & v2_relat_1(B) & -v1_xboole_0(A) -> m1_pboole(k17_pralg_1(A,B,C),k2_zfmisc_1(k4_finseq_1(C),A)))) # label(dt_k17_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12159 (all A all B (-v1_xboole_0(A) & m1_pboole(B,A) & v3_pralg_1(B) & v1_pralg_1(B) -> m2_finseq_1(k13_pralg_1(A,B),k5_numbers))) # label(dt_k13_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12160 (all A (m1_finseq_1(A,k5_numbers) -> m2_finseq_1(k8_pralg_1(A),k4_partfun1(k13_finseq_1(k1_tarski(k1_xboole_0)),k1_tarski(k1_xboole_0))))) # label(dt_k8_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12161 (all A (v1_relat_1(A) & v1_funct_1(A) -> ((all B all C (r2_hidden(B,k1_relat_1(A)) & r2_hidden(C,k1_relat_1(A)) -> (all D (v1_funct_1(D) & v1_relat_1(D) -> (all E (v1_relat_1(E) & v1_funct_1(E) -> (E = k1_funct_1(A,C) & k1_funct_1(A,B) = D -> (all F (m2_subset_1(F,k1_numbers,k5_numbers) -> (all G (m2_subset_1(G,k1_numbers,k5_numbers) -> (all H (-v1_xboole_0(H) -> (all I (-v1_xboole_0(I) -> (k4_finseq_2(F,H) = k1_relat_1(D) & k1_relat_1(E) = k4_finseq_2(G,I) -> (all J (v1_unialg_1(J,H) & v2_unialg_1(J,H) & m2_relset_1(J,k3_finseq_2(H),H) & v1_funct_1(J) & -v1_xboole_0(J) -> (all K (-v1_xboole_0(K) & v1_funct_1(K) & v2_unialg_1(K,I) & m2_relset_1(K,k3_finseq_2(I),I) & v1_unialg_1(K,I) -> (E = K & J = D -> k2_unialg_1(H,J) = k2_unialg_1(I,K)))))))))))))))))))))) <-> v4_pralg_1(A)))) # label(d16_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12162 (all A (m2_finseq_1(A,k5_numbers) -> (k1_xboole_0 != A -> -v3_struct_0(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) & v7_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) & v8_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) & l1_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) & v6_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A))) & v3_unialg_1(g1_unialg_1(k1_tarski(k1_xboole_0),k8_pralg_1(A)))))) # label(t11_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12163 (all A (v1_relat_1(A) & v1_funcop_1(A) & v1_funct_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_funct_1(C) & v1_relat_1(C) -> (C = k15_pralg_1(A,B) <-> k1_relat_1(C) = k1_relat_1(A) & (all D (r2_hidden(D,k1_relat_1(A)) -> k1_funct_1(k1_funct_1(A,D),k1_funct_1(B,D)) = k1_funct_1(C,D)))))))))) # label(d17_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12164 (all A (-v3_struct_0(A) & v6_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) -> (all B (-v3_struct_0(B) & v6_unialg_1(B) & l1_unialg_1(B) & v8_unialg_1(B) & v7_unialg_1(B) -> (r1_unialg_2(A,B) -> v1_funct_2(k6_pralg_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k5_pralg_1(A,B)),u1_struct_0(k5_pralg_1(B,A))) & m2_relset_1(k6_pralg_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(k5_pralg_1(A,B)),u1_struct_0(k5_pralg_1(B,A))) & v1_funct_1(k6_pralg_1(u1_struct_0(A),u1_struct_0(B)))))))) # label(t5_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12165 (all A all B all C (-v1_xboole_0(B) & m1_pboole(C,k2_zfmisc_1(A,B)) -> m1_pboole(k19_pralg_1(A,B,C),A))) # label(dt_k19_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12166 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> v2_funct_1(k6_pralg_1(A,B)))))) # label(t4_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12167 (all A (v4_ordinal2(A) -> v1_relat_1(k7_pralg_1(A)) & v1_funct_1(k7_pralg_1(A)) & v1_unialg_1(k7_pralg_1(A),k1_tarski(k1_xboole_0)) & v2_unialg_1(k7_pralg_1(A),k1_tarski(k1_xboole_0)) & -v1_xboole_0(k7_pralg_1(A)))) # label(fc1_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12168 (all A (-v1_xboole_0(A) -> (exists B (v1_funct_1(B) & v1_finseq_1(B) & v1_relat_1(B) & -v1_xboole_0(B) & m1_subset_1(B,k3_finseq_2(A)))))) # label(rc2_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12169 (all A (v4_ordinal2(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k3_finseq_2(k1_tarski(k1_xboole_0)),k1_tarski(k1_xboole_0)) -> (k1_tarski(k1_xboole_0) = k2_relat_1(B) & k1_relat_1(B) = k1_tarski(k2_finseq_2(A,k1_xboole_0)) <-> B = k7_pralg_1(A)))))) # label(d7_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12170 (all A all B all C (-v1_xboole_0(A) & v2_relat_1(B) & m1_pboole(B,A) & v4_pralg_1(C) & m1_pralg_1(C,A,B) -> m2_subset_1(k20_pralg_1(A,B,C),k1_numbers,k5_numbers))) # label(dt_k20_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12171 (all A all B (m1_pboole(B,A) & v2_pralg_1(B) -> m1_pboole(k12_pralg_1(A,B),A))) # label(dt_k12_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12172 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) & v2_relat_1(B) -> (all C (v1_funcop_1(C) & m1_pboole(C,A) -> ((all D (m1_subset_1(D,A) -> -v1_xboole_0(k1_funct_1(C,D)) & v2_unialg_1(k1_funct_1(C,D),k1_funct_1(B,D)) & m2_relset_1(k1_funct_1(C,D),k3_finseq_2(k1_funct_1(B,D)),k1_funct_1(B,D)) & v1_unialg_1(k1_funct_1(C,D),k1_funct_1(B,D)) & v1_funct_1(k1_funct_1(C,D)))) <-> m1_pralg_1(C,A,B)))))))) # label(d15_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12173 (all A (-v3_struct_0(A) & v8_unialg_1(A) & l1_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) -> (all B (-v3_struct_0(B) & v6_unialg_1(B) & v8_unialg_1(B) & l1_unialg_1(B) & v7_unialg_1(B) -> (r1_unialg_2(A,B) -> r1_unialg_2(k5_pralg_1(A,B),A)))))) # label(t7_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12174 (all A all B (m1_pboole(B,A) & v2_pralg_1(B) -> (all C (m1_pboole(C,A) -> ((all D -((all E (l1_struct_0(E) -> -(k1_funct_1(B,D) = E & u1_struct_0(E) = k1_funct_1(C,D)))) & r2_hidden(D,A))) <-> C = k12_pralg_1(A,B)))))) # label(d13_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12175 (all A (v1_funct_1(A) & v1_relat_1(A) -> (v1_pralg_1(A) <-> (all B (r2_hidden(B,k1_relat_1(A)) -> v6_unialg_1(k1_funct_1(A,B)) & v7_unialg_1(k1_funct_1(A,B)) & v8_unialg_1(k1_funct_1(A,B)) & l1_unialg_1(k1_funct_1(A,B)) & -v3_struct_0(k1_funct_1(A,B))))))) # label(d10_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12176 (all A all B (v1_funcop_1(B) & m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (k16_pralg_1(A,B,C) = D <-> (all E (r2_hidden(E,A) -> (all F (v1_relat_1(F) & v1_funct_1(F) -> (F = k1_funct_1(B,E) -> k1_funct_1(D,E) = k1_funct_1(F,k1_funct_1(C,E)))))))))))))) # label(d18_pralg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12177 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_tex_2(B,A))))) # label(t66_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12178 (all A (-v1_xboole_0(A) & -v1_realset1(A) -> (exists B (-v1_xboole_0(B) & v1_tex_2(B,k1_zfmisc_1(A)) & v1_realset1(B) & m1_subset_1(B,k1_zfmisc_1(A)))))) # label(rc6_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12179 (all A (-v3_realset2(A) & l1_struct_0(A) & -v3_struct_0(A) -> (exists B (-v1_xboole_0(B) & v1_realset1(B) & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc8_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12180 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(v3_realset2(A) & v2_tex_2(k1_tex_2(A,B),A)))))) # label(t21_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12181 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v2_tdlat_3(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (v3_tex_2(B,A) <-> v1_realset1(B)))))) # label(t44_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12182 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> -v3_struct_0(k1_tex_2(A,B)) & v1_pre_topc(k1_tex_2(A,B)) & v2_pre_topc(k1_tex_2(A,B)) & v1_tdlat_3(k1_tex_2(A,B)) & v3_tdlat_3(k1_tex_2(A,B)) & v4_tdlat_3(k1_tex_2(A,B)) & v3_realset2(k1_tex_2(A,B)) & v5_tdlat_3(k1_tex_2(A,B)) & v2_tdlat_3(k1_tex_2(A,B)))) # label(fc3_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12183 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v3_realset2(B) & m1_pre_topc(B,A) & -v3_struct_0(B) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(k1_tex_2(A,C)),u1_pre_topc(k1_tex_2(A,C))))))))) # label(t23_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12184 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_tdlat_3(B) & -v3_realset2(B) & -v3_struct_0(B) -> -v3_struct_0(B) & -v1_tdlat_3(B)))))) # label(cc25_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12185 (all A (-v1_xboole_0(k1_tarski(A)) & v1_realset1(k1_tarski(A)) & v1_finset_1(k1_tarski(A)))) # label(fc1_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12186 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v2_tex_2(B,A) -> v1_borsuk_1(B,A) & v3_tdlat_3(B) & v5_tex_2(B,A) & v1_tdlat_3(B) & v1_tsep_1(B,A) & v2_pre_topc(B)))))) # label(cc41_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12187 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) & -v3_struct_0(A) -> v1_pre_topc(k1_tex_2(A,B)) & v3_realset2(k1_tex_2(A,B)) & -v3_struct_0(k1_tex_2(A,B)))) # label(fc2_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12188 (all A (v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v5_tex_2(B,A) -> v2_pre_topc(B) & v1_tsep_1(B,A) & v1_borsuk_1(B,A) & v1_tdlat_3(B) & -v2_tex_2(B,A) & v3_tdlat_3(B)))))) # label(cc39_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12189 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tdlat_3(B) -> v3_tdlat_3(B)))))) # label(cc22_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12190 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) & -v1_tdlat_3(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & -v2_tex_2(B,A) -> -v3_struct_0(B) & v3_tdlat_3(B) & v5_tdlat_3(B) & -v5_tex_2(B,A) & v4_tdlat_3(B) & v2_pre_topc(B)))))) # label(cc48_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12191 (all A (-v3_realset2(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v3_realset2(B) -> -v3_struct_0(B) & v2_tex_2(B,A)))))) # label(cc14_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12192 (all A (-v3_struct_0(A) & v1_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & -v3_realset2(B) -> v2_pre_topc(B) & v1_tdlat_3(B) & v3_tdlat_3(B) & -v3_realset2(B) & v5_tdlat_3(B) & v4_tdlat_3(B) & -v2_tdlat_3(B) & v1_borsuk_1(B,A) & v1_tsep_1(B,A) & -v3_struct_0(B)))))) # label(cc32_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12193 (all A (v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tex_2(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (r2_hidden(D,B) & k1_struct_0(A,D) = k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,k1_struct_0(A,C))) & m1_subset_1(D,u1_struct_0(A))))))))))) # label(t64_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12194 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,B) -> k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C)) = C)))))))) # label(t41_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12195 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) & v3_tex_2(B,A) & v3_tex_2(C,A) & v4_pre_topc(C,A) -> v3_tex_2(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t39_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12196 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v2_pre_topc(B) -> -v2_tdlat_3(B)))))) # label(cc19_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12197 (all A (l1_struct_0(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(v1_tex_2(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))) & v3_realset2(A)))))) # label(t8_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12198 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tdlat_3(B) -> v2_pre_topc(B)))))) # label(cc16_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12199 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (-v3_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v3_tdlat_3(B) & v5_tdlat_3(B) & v3_realset2(B) & v4_tdlat_3(B) & v2_tdlat_3(B) & v1_tdlat_3(B) & m1_pre_topc(B,A))))) # label(rc14_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12200 $T # label(t22_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12201 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) & -v3_realset2(A) -> (exists B (v2_pre_topc(B) & v1_tsep_1(B,A) & v2_tex_2(B,A) & v3_tdlat_3(B) & v1_tdlat_3(B) & v1_borsuk_1(B,A) & v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc17_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12202 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v1_tdlat_3(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v2_tdlat_3(B) -> -v3_struct_0(B) & v2_pre_topc(B) & v1_tdlat_3(B) & v3_tdlat_3(B) & v4_tdlat_3(B) & v5_tdlat_3(B) & v3_realset2(B) & v2_tdlat_3(B) & v1_borsuk_1(B,A) & v1_tsep_1(B,A)))))) # label(cc31_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12203 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v1_tsep_1(B,A) & v1_borsuk_1(B,A) & v2_pre_topc(B))))) # label(rc16_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12204 (all A (l1_pre_topc(A) & v1_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v3_tex_2(B,A))))) # label(t43_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12205 (all A (-v1_xboole_0(A) & -v1_realset1(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_tex_2(B,k1_zfmisc_1(A)) & -v1_realset1(B) & -v1_xboole_0(B))))) # label(rc7_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12206 (all A (v2_tdlat_3(A) & l1_pre_topc(A) & -v3_realset2(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v1_tdlat_3(B) -> -v3_struct_0(B) & v2_pre_topc(B) & v1_tdlat_3(B) & v3_tdlat_3(B) & v2_tex_2(B,A) & v3_realset2(B) & v5_tdlat_3(B) & v4_tdlat_3(B) & v2_tdlat_3(B)))))) # label(cc36_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12207 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> -(v1_tex_2(k6_domain_1(A,B),k1_zfmisc_1(A)) & v1_realset1(A)))))) # label(t6_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12208 (all A (-v1_xboole_0(A) -> (exists B (-v1_xboole_0(B) & -v1_tex_2(B,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)))))) # label(rc4_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12209 (all A (-v1_xboole_0(A) & -v1_realset1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (-v1_xboole_0(B) & -v1_tex_2(B,k1_zfmisc_1(A)) -> -v1_xboole_0(B) & -v1_realset1(B)))))) # label(cc7_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12210 (all A (l1_struct_0(A) & v3_realset2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (-v1_xboole_0(B) -> -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B)))))) # label(cc8_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12211 (all A (v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> k1_struct_0(A,C) = k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,k1_struct_0(A,C)))))) -> v3_tex_2(B,A)))))) # label(t58_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12212 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> -((all D (m1_subset_1(D,u1_struct_0(A)) -> -(r2_hidden(D,B) & k1_struct_0(A,D) = k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,k1_struct_0(A,C)))))) & r2_hidden(C,k6_pre_topc(A,B))))) <-> v3_tex_2(B,A)))))) # label(t60_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12213 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C & v4_tex_2(C,A) & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) -> v4_tex_2(D,B)))))))))) # label(t45_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12214 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> ((all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> v5_pre_topc(C,A,B))))) -> v1_tdlat_3(A)))) # label(t69_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12215 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_realset1(B) & -v1_xboole_0(B))))) # label(rc5_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12216 (all A (v1_realset1(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (v1_tex_2(B,k1_zfmisc_1(A)) -> v1_xboole_0(B) & v1_membered(B) & v2_membered(B) & v4_membered(B) & v1_tex_2(B,k1_zfmisc_1(A)) & v5_membered(B) & v3_membered(B)))))) # label(cc3_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12217 (all A (l1_pre_topc(A) & v1_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (exists C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v3_borsuk_1(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B))))))) # label(t72_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12218 (all A (v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_tex_2(B,A) & (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_tarski(B,C) & v4_tex_2(C,A))))))))) # label(t65_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12219 (all A (l1_struct_0(A) & -v3_realset2(A) & -v3_struct_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & v1_realset1(B))))) # label(rc10_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12220 (all A (l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tex_2(B,A) -> v1_tops_1(B,A)))))) # label(t62_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12221 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v3_tex_2(k1_struct_0(A,B),A))))) # label(t36_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12222 (all A (l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_tdlat_3(B) & -v3_struct_0(B) -> (exists C (v1_pre_topc(C) & m1_pre_topc(C,A) & m1_pre_topc(B,C) & v5_tex_2(C,A) & -v3_struct_0(C))))))) # label(t67_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12223 (all A all B (m1_subset_1(B,A) -> (v1_tex_2(B,A) <-> k3_tarski(A) != B))) # label(d2_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12224 (all A all B (l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & v2_pre_topc(A) & -v3_struct_0(A) -> v1_pre_topc(k1_tex_2(A,B)) & v2_tdlat_3(k1_tex_2(A,B)) & v3_tdlat_3(k1_tex_2(A,B)) & v4_tdlat_3(k1_tex_2(A,B)) & v3_realset2(k1_tex_2(A,B)) & v5_tdlat_3(k1_tex_2(A,B)) & v1_tdlat_3(k1_tex_2(A,B)) & v2_pre_topc(k1_tex_2(A,B)) & -v3_struct_0(k1_tex_2(A,B)))) # label(fc4_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12225 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_tex_2(B,A) & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & (v3_pre_topc(B,A) | v4_pre_topc(B,A))))))) # label(t61_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12226 (all A (l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k6_pre_topc(A,k1_struct_0(A,C)) = k6_pre_topc(A,k1_struct_0(A,B)) | r1_xboole_0(k6_pre_topc(A,k1_struct_0(A,B)),k6_pre_topc(A,k1_struct_0(A,C))))))))) # label(t56_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12227 (all A (-v3_realset2(A) & l1_struct_0(A) & -v3_struct_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & -v1_realset1(B) & -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc9_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12228 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (v1_pre_topc(B) & v1_tdlat_3(B) & v2_tdlat_3(B) & v3_tdlat_3(B) & v4_tdlat_3(B) & v3_realset2(B) & v5_tdlat_3(B) & v2_pre_topc(B) & -v3_struct_0(B) & m1_pre_topc(B,A))))) # label(rc15_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12229 (all A (-v1_xboole_0(A) -> (exists B (v1_tex_2(B,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)))))) # label(rc3_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.18 12230 (all A (v1_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> v5_pre_topc(C,A,B))))))) # label(t68_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12231 (all A (v1_realset1(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (-v1_xboole_0(B) & -v1_tex_2(B,k1_zfmisc_1(A)) -> v1_realset1(B) & -v1_tex_2(B,k1_zfmisc_1(A)) & -v1_xboole_0(B)))))) # label(cc5_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12232 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v2_pre_topc(k1_tex_2(A,B)) -> v1_tdlat_3(k1_tex_2(A,B)) & v2_tdlat_3(k1_tex_2(A,B))))))) # label(t24_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12233 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(B,A) | v3_tex_2(C,A) -> v3_tex_2(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t29_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12234 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> -((all C (-v3_struct_0(C) & m1_pre_topc(C,A) & v1_tdlat_3(C) & v1_pre_topc(C) -> B != u1_struct_0(C))) & v3_tex_2(B,A)))))) # label(t34_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12235 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (-v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) <-> v4_tex_2(B,A)))))) # label(t49_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12236 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tex_2(B,A) & v3_pre_topc(B,A) -> v1_tops_1(B,A)))))) # label(t47_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12237 (all A exists B (-v1_tex_2(B,k1_zfmisc_1(A)) & m1_subset_1(B,k1_zfmisc_1(A)))) # label(rc2_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12238 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_tdlat_3(B) -> -v2_tdlat_3(B)))))) # label(cc23_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12239 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> v4_tex_2(C,A)))) <-> v5_tex_2(B,A)))))) # label(d8_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12240 (all A (-v3_struct_0(A) & -v3_realset2(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & -v2_tex_2(B,A) -> -v3_struct_0(B) & -v3_realset2(B)))))) # label(cc15_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12241 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(A) -> (all B (v5_tex_2(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v3_borsuk_1(C,A,B) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (E = D -> k5_pre_topc(A,B,C,D) = k6_pre_topc(A,E))))))))))))) # label(t76_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12242 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (-v3_struct_0(C) & v1_pre_topc(C) & m1_pre_topc(C,A) -> -(u1_struct_0(C) = B & v5_tex_2(C,A)))) & v4_tex_2(B,A)))))) # label(t53_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12243 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v1_tdlat_3(B) & -v3_struct_0(B) -> -v5_tex_2(B,A) & -v3_struct_0(B)))))) # label(cc38_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12244 (all A (l1_pre_topc(A) & v1_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_2(B,A) -> -v5_tex_2(B,A) & v3_tdlat_3(B) & v1_tdlat_3(B) & v1_borsuk_1(B,A) & v1_tsep_1(B,A) & v2_pre_topc(B)))))) # label(cc40_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12245 (all A (v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (exists B (v1_pre_topc(B) & v2_pre_topc(B) & v1_tdlat_3(B) & v4_tdlat_3(B) & v5_tdlat_3(B) & v5_tex_2(B,A) & v3_tdlat_3(B) & -v3_struct_0(B) & m1_pre_topc(B,A))))) # label(rc20_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12246 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_2(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> v1_tex_2(C,k1_zfmisc_1(u1_struct_0(A))))))))))) # label(d3_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12247 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_3(B,A) & v3_tex_2(B,A) -> v3_pre_topc(B,A)))))) # label(t40_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12248 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v1_borsuk_1(B,A) -> v2_tex_2(B,A) & v2_pre_topc(B)))))) # label(cc30_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12249 (exists A (v1_realset1(A) & -v1_xboole_0(A))) # label(rc1_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12250 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v3_struct_0(C) & v1_pre_topc(C) & m1_pre_topc(C,A) -> (u1_struct_0(C) = k1_struct_0(A,B) <-> C = k1_tex_2(A,B)))))))) # label(d4_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12251 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v2_pre_topc(B) & v3_realset2(B) -> -v3_struct_0(B) & v2_pre_topc(B) & v2_tdlat_3(B) & v4_tdlat_3(B) & v3_realset2(B) & v5_tdlat_3(B) & v3_tdlat_3(B) & v1_tdlat_3(B)))))) # label(cc27_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12252 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(B,A) & (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(C,A) & r1_tarski(B,C) -> C = B))) <-> v4_tex_2(B,A)))))) # label(d7_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12253 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tdlat_3(B) & v1_tdlat_3(B) & -v3_struct_0(B) -> v3_realset2(B) & -v3_struct_0(B)))))) # label(cc24_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12254 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(D,A) & k1_struct_0(A,C) = k5_subset_1(u1_struct_0(A),B,D)))) & r2_hidden(C,B)))) -> v3_tex_2(B,A)))))) # label(t57_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12255 (all A (-v3_struct_0(A) & v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_tdlat_3(B) & -v3_struct_0(B) -> r1_borsuk_1(A,B))))) # label(t79_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12256 (all A (v2_pre_topc(A) & -v2_tdlat_3(A) & v3_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v3_realset2(B) & -v3_struct_0(B) -> v2_pre_topc(B) & v3_tdlat_3(B) & v4_tdlat_3(B) & -v5_tex_2(B,A) & v5_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc50_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12257 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D & v3_tex_2(C,A) & g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) -> v3_tex_2(D,B)))))))))) # label(t25_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12258 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & -v3_struct_0(B) & v1_pre_topc(B) & v3_realset2(B))))) # label(rc12_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12259 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v2_tdlat_3(A) -> (all B (m1_pre_topc(B,A) -> (-v3_realset2(B) & -v3_struct_0(B) -> -v3_struct_0(B) & v2_tdlat_3(B) & v4_tdlat_3(B) & v5_tdlat_3(B) & -v5_tex_2(B,A) & v3_tdlat_3(B) & v2_pre_topc(B)))))) # label(cc44_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12260 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) & v3_tex_2(B,A) & v3_tex_2(C,A) & v3_pre_topc(B,A) -> v3_tex_2(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t38_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12261 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v2_tdlat_3(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (v1_realset1(B) <-> v4_tex_2(B,A)))))) # label(t50_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12262 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (v2_tdlat_3(A) & g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) -> v2_tdlat_3(B)))))) # label(t18_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12263 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v2_tdlat_3(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v3_realset2(B) -> v3_tdlat_3(B) & v5_tdlat_3(B) & v3_realset2(B) & v5_tex_2(B,A) & v4_tdlat_3(B) & v2_tdlat_3(B) & v1_tdlat_3(B) & v2_pre_topc(B) & -v3_struct_0(B)))))) # label(cc45_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12264 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v1_tdlat_3(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v5_tex_2(B,A) -> v2_pre_topc(B) & v1_borsuk_1(B,A) & v3_tdlat_3(B) & v2_tex_2(B,A) & v1_tdlat_3(B) & v1_tsep_1(B,A)))))) # label(cc42_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12265 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v1_tdlat_3(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> r1_borsuk_1(A,B))))) # label(t73_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12266 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> k1_struct_0(A,C) = k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,k1_struct_0(A,C))))))))))) # label(t42_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12267 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_tdlat_3(B) -> v2_pre_topc(B)))))) # label(cc17_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12268 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(D,A) & k5_subset_1(u1_struct_0(A),B,D) = C))) & r1_tarski(C,B))))))))) # label(d6_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12269 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> (v1_tdlat_3(B) <-> v3_tex_2(C,A))))))))) # label(t26_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12270 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tdlat_3(B) -> v3_tdlat_3(B)))))) # label(cc20_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12271 (all A (-v1_xboole_0(A) & v1_realset1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (-v1_xboole_0(B) -> -v1_tex_2(B,k1_zfmisc_1(A)) & -v1_xboole_0(B)))))) # label(cc4_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12272 $T # label(t10_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12273 (all A (l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & v3_pre_topc(C,A) -> v3_pre_topc(k5_subset_1(u1_struct_0(A),B,C),A) & v3_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A)))))) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & v3_tex_2(B,A) & v3_tex_2(C,A) & v3_pre_topc(C,A) -> v3_tex_2(k4_subset_1(u1_struct_0(A),B,C),A))))))))) # label(t30_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12274 (all A (-v1_xboole_0(A) & -v1_realset1(A) -> (all B (m1_subset_1(B,A) -> v1_tex_2(k6_domain_1(A,B),k1_zfmisc_1(A)))))) # label(t7_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12275 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v5_tex_2(B,A) & -v3_struct_0(B) -> -v3_struct_0(B) & v2_pre_topc(B) & -v1_tdlat_3(B) & v2_tdlat_3(B) & v3_tdlat_3(B) & v5_tdlat_3(B) & -v3_realset2(B) & -v5_tex_2(B,A) & v4_tdlat_3(B)))))) # label(cc46_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12276 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) & -v3_struct_0(A) -> v1_pre_topc(k1_tex_2(A,B)) & m1_pre_topc(k1_tex_2(A,B),A) & -v3_struct_0(k1_tex_2(A,B)))) # label(dt_k1_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12277 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) -> -v4_tex_2(B,A))))) # label(t46_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12278 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> -(u1_struct_0(B) = u1_struct_0(A) & v2_tex_2(B,A)))))) # label(t15_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12279 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(B,A) & r1_tarski(C,B) -> v3_tex_2(C,A)))))))) # label(t28_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12280 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v3_tex_2(B,A))))) # label(t35_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12281 (all A (l1_struct_0(A) & -v3_realset2(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_tex_2(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))))))) # label(t9_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12282 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v5_tex_2(B,A) & -v3_struct_0(B) -> -v3_struct_0(B) & v2_tdlat_3(B) & v3_tdlat_3(B) & v3_realset2(B) & v5_tdlat_3(B) & v4_tdlat_3(B) & v1_tdlat_3(B) & v2_pre_topc(B)))))) # label(cc43_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12283 (all A (v2_pre_topc(A) & v3_tdlat_3(A) & -v3_realset2(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_tex_2(B,A) & v5_tdlat_3(B) & v4_tdlat_3(B) & v3_tdlat_3(B) & v2_pre_topc(B) & -v3_struct_0(B))))) # label(rc19_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12284 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v5_tex_2(B,A) -> (exists C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v3_borsuk_1(C,A,B) & v5_pre_topc(C,A,B) & v1_funct_1(C))))))) # label(t74_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12285 (all A (-v1_xboole_0(A) -> ((exists B (A = k6_domain_1(A,B) & m1_subset_1(B,A))) <-> v1_realset1(A)))) # label(d1_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12286 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k3_tarski(a_2_0_tex_2(A,B)) = k6_pre_topc(A,B))))) # label(t54_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12287 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (v1_xboole_0(B) -> v1_tex_2(B,k1_zfmisc_1(A))))))) # label(cc2_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12288 (all A (-v3_struct_0(A) & l1_struct_0(A) & -v3_realset2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_realset1(B) & -v1_xboole_0(B) -> v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B)))))) # label(cc10_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12289 (all A (-v3_struct_0(A) & v3_realset2(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) -> -v2_tex_2(B,A) & -v3_struct_0(B)))))) # label(cc12_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12290 $T # label(t3_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12291 (all A (-v3_struct_0(A) & l1_pre_topc(A) & -v3_realset2(A) & v2_tdlat_3(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v2_tex_2(B,A) -> -v3_struct_0(B) & v2_tdlat_3(B) & v2_tex_2(B,A) & v5_tdlat_3(B) & v4_tdlat_3(B) & v3_tdlat_3(B) & -v1_borsuk_1(B,A) & -v1_tsep_1(B,A) & v2_pre_topc(B)))))) # label(cc35_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12292 (all A (v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v5_tex_2(B,A) & -v3_struct_0(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & v1_funct_1(C) -> (v3_borsuk_1(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (D = E -> k6_pre_topc(A,k1_struct_0(A,E)) = k5_pre_topc(A,B,C,k1_struct_0(B,D)))))))))))))) # label(t77_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12293 (all A (l1_pre_topc(A) & v2_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v1_tdlat_3(B) -> -v3_struct_0(B) & v2_pre_topc(B) & v1_tdlat_3(B) & v2_tdlat_3(B) & v3_realset2(B) & v5_tdlat_3(B) & v4_tdlat_3(B) & v3_tdlat_3(B)))))) # label(cc33_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12294 (all A (-v3_struct_0(A) & l1_struct_0(A) & v3_realset2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (-v1_xboole_0(B) & -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) -> -v1_xboole_0(B) & v1_realset1(B)))))) # label(cc9_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12295 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v5_tex_2(B,A) & -v3_struct_0(B) -> -v3_struct_0(B) & v2_pre_topc(B) & v3_tdlat_3(B) & v4_tdlat_3(B) & v5_tdlat_3(B) & v1_tdlat_3(B)))))) # label(cc37_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12296 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tops_1(B,A) & v3_tex_2(B,A) -> v4_tex_2(B,A)))))) # label(t48_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12297 (all A all B all C (v3_tdlat_3(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> (r2_hidden(A,a_2_0_tex_2(B,C)) <-> (exists D (k6_pre_topc(B,k1_struct_0(B,D)) = A & r2_hidden(D,C) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_0_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12298 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_tdlat_3(B) -> -v1_tdlat_3(B)))))) # label(cc21_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12299 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(k5_subset_1(u1_struct_0(A),B,D) = C & v3_pre_topc(D,A)))) & r1_tarski(C,B)))) <-> v3_tex_2(B,A)))))) # label(d5_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12300 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (-v1_tex_2(B,k1_zfmisc_1(A)) -> -v1_xboole_0(B)))))) # label(cc1_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12301 $T # label(t11_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12302 (all A (-v1_xboole_0(A) & v1_realset1(A) -> (all B (-v1_xboole_0(k3_xboole_0(A,B)) -> r1_tarski(A,B))))) # label(t2_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12303 (all A (-v3_struct_0(A) & v3_realset2(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & -v2_tex_2(B,A) -> -v3_struct_0(B) & v3_realset2(B)))))) # label(cc13_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12304 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (v2_tex_2(B,A) & g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) -> v2_tex_2(C,A)))))))) # label(t14_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12305 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(D,A) & k5_subset_1(u1_struct_0(A),B,D) = k1_tarski(C)))) & r2_hidden(C,B))))))))) # label(t33_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12306 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v2_tex_2(B,A) -> g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)))))) # label(t16_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12307 (all A (l1_struct_0(A) -> (all B (l1_struct_0(B) -> (v3_realset2(A) & u1_struct_0(B) = u1_struct_0(A) -> v3_realset2(B)))))) # label(t4_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12308 (all A (-v3_struct_0(A) & v2_tdlat_3(A) & -v3_realset2(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (v1_pre_topc(B) & -v1_tsep_1(B,A) & -v1_borsuk_1(B,A) & v2_tex_2(B,A) & v3_tdlat_3(B) & v2_tdlat_3(B) & v2_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc18_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12309 (all A (-v3_struct_0(A) & v2_pre_topc(A) & -v2_tdlat_3(A) & v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v5_tex_2(B,A) & -v3_struct_0(B) -> -v3_struct_0(B) & v2_pre_topc(B) & v4_tdlat_3(B) & v5_tdlat_3(B) & -v3_realset2(B) & v3_tdlat_3(B)))))) # label(cc49_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12310 (all A (l1_pre_topc(A) -> ((all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) & v4_pre_topc(C,A) -> v4_pre_topc(k4_subset_1(u1_struct_0(A),B,C),A) & v4_pre_topc(k5_subset_1(u1_struct_0(A),B,C),A)))))) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) & v4_pre_topc(C,A) & v3_tex_2(B,A) & v3_tex_2(C,A) -> v3_tex_2(k4_subset_1(u1_struct_0(A),B,C),A))))))))) # label(t31_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12311 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> (v2_tex_2(B,A) <-> v1_tex_2(C,k1_zfmisc_1(u1_struct_0(A))))))))))) # label(t13_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12312 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> -(r2_hidden(C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & k1_struct_0(A,C) = k5_subset_1(u1_struct_0(A),B,D))))))) -> v3_tex_2(B,A)))))) # label(t37_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12313 (all A (l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v1_tdlat_3(B) & m1_pre_topc(B,A) -> (exists C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & v3_borsuk_1(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)))))))) # label(t78_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12314 (all A (-v1_realset1(A) & -v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (v1_realset1(B) & -v1_xboole_0(B) -> -v1_xboole_0(B) & v1_tex_2(B,k1_zfmisc_1(A))))))) # label(cc6_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12315 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v1_tsep_1(B,A) -> v2_tex_2(B,A) & v2_pre_topc(B)))))) # label(cc29_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12316 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) & v2_pre_topc(A) -> v2_pre_topc(B)))))) # label(t12_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12317 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> ((all B (l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_funct_1(C) -> v5_pre_topc(C,B,A))))) -> v2_tdlat_3(A)))) # label(t71_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12318 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_tdlat_3(B) & l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> (all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> v5_pre_topc(C,A,B))))))) # label(t70_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12319 (all A (-v3_realset2(A) & l1_struct_0(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (-v1_xboole_0(B) & -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) -> -v1_xboole_0(B) & -v1_realset1(B)))))) # label(cc11_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12320 (all A (l1_pre_topc(A) & -v3_realset2(A) & -v3_struct_0(A) -> (exists B (v2_tex_2(B,A) & v3_realset2(B) & v1_pre_topc(B) & -v3_struct_0(B) & m1_pre_topc(B,A))))) # label(rc13_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12321 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v2_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_realset2(B) & -v3_struct_0(B) -> v4_tdlat_3(B) & -v3_realset2(B) & v5_tdlat_3(B) & v3_tdlat_3(B) & v2_tdlat_3(B) & -v1_tdlat_3(B) & v2_pre_topc(B) & -v3_struct_0(B)))))) # label(cc34_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12322 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & v1_realset1(B) -> (r1_tarski(A,B) -> B = A))))) # label(t1_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12323 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(A) = B -> (v1_tdlat_3(A) <-> v3_tex_2(B,A))))))) # label(t27_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12324 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> ((all C (m1_pre_topc(C,A) & v1_tdlat_3(C) & -v3_struct_0(C) -> (m1_pre_topc(B,C) -> g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))))) & v1_tdlat_3(B) <-> v5_tex_2(B,A)))))) # label(t52_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12325 (all A (-v3_struct_0(A) & -v1_tdlat_3(A) & v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v5_tex_2(B,A) & -v3_struct_0(B) -> -v3_struct_0(B) & v3_tdlat_3(B) & v2_tex_2(B,A) & v5_tdlat_3(B) & v4_tdlat_3(B) & v2_pre_topc(B)))))) # label(cc47_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12326 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> r1_xboole_0(k6_pre_topc(A,k1_struct_0(A,C)),k6_pre_topc(A,k1_struct_0(A,D))) | C = D))))) <-> v3_tex_2(B,A)))))) # label(t59_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12327 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (exists B (-v2_tex_2(B,A) & v1_pre_topc(B) & -v3_struct_0(B) & m1_pre_topc(B,A))))) # label(rc11_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12328 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v1_tex_2(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))) <-> v2_tex_2(k1_tex_2(A,B),A)))))) # label(t20_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12329 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(r2_hidden(C,B) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & k1_tarski(C) = k5_subset_1(u1_struct_0(A),B,D)))))))))))) # label(t32_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12330 (all A (m1_subset_1(A,k1_zfmisc_1(u1_struct_0(f1_s1_tex_2))) -> -(r2_hidden(A,f2_s1_tex_2) & (all B (m1_subset_1(B,u1_struct_0(f1_s1_tex_2)) -> -p1_s1_tex_2(A,B)))))) -> (exists A (v1_funct_1(A) & v1_funct_2(A,f2_s1_tex_2,u1_struct_0(f1_s1_tex_2)) & (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(f1_s1_tex_2))) -> (r2_hidden(B,f2_s1_tex_2) -> p1_s1_tex_2(B,k1_funct_1(A,B))))) & m2_relset_1(A,f2_s1_tex_2,u1_struct_0(f1_s1_tex_2)))) # label(s1_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12331 (all A (v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v5_tex_2(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B) -> r1_borsuk_1(A,B))))) # label(t75_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12332 (all A all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (B != A <-> v1_tex_2(B,k1_zfmisc_1(A))))) # label(t5_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12333 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (v3_tdlat_3(A) & g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) -> v3_tdlat_3(B)))))) # label(t19_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12334 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v2_tex_2(B,A) -> v2_pre_topc(B) & v1_borsuk_1(B,A) & v1_tsep_1(B,A)))))) # label(cc28_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12335 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_tex_2(B,A) -> u1_struct_0(A) = k3_tarski(a_2_0_tex_2(A,B))))))) # label(t63_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12336 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_realset2(B) & v1_tdlat_3(B) & -v3_struct_0(B) -> -v3_struct_0(B) & -v2_tdlat_3(B)))))) # label(cc26_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12337 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & v1_tdlat_3(A) -> v1_tdlat_3(B)))))) # label(t17_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12338 (all A (-v3_struct_0(A) & v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(B,k6_pre_topc(A,k1_struct_0(A,C))) -> k6_pre_topc(A,k1_struct_0(A,C)) = k6_pre_topc(A,k1_struct_0(A,B))))))))) # label(t55_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12339 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> (v4_tex_2(C,A) <-> v5_tex_2(B,A))))))))) # label(t51_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12340 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v2_pre_topc(B) -> -v1_tdlat_3(B)))))) # label(cc18_tex_2) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12341 (all A (v2_pre_topc(A) & -v1_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v1_tops_1(B,A) & (all C (v1_tex_3(C,A) & m1_pre_topc(C,A) & v2_tex_2(C,A) & v1_pre_topc(C) -> u1_struct_0(C) != B))))))) # label(t52_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12342 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (r4_tsep_2(A,B,C) -> (v3_tex_3(B,A) <-> v1_tex_3(C,A))))))))) # label(t32_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12343 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (v1_tex_3(C,A) | v1_tex_3(B,A) -> v1_tex_3(k1_tsep_1(A,B,C),A) & m1_pre_topc(k1_tsep_1(A,B,C),A)))))))) # label(t25_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12344 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & -v3_struct_0(B) & v1_pre_topc(B) & v1_tex_3(B,A) & v2_tex_3(B,A) & v2_pre_topc(B))))) # label(rc2_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.19 12345 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & -v1_tdlat_3(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (v2_pre_topc(C) & l1_pre_topc(C) & -v3_struct_0(C) -> (C = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) -> (v3_tex_3(C,A) & m1_pre_topc(C,A) <-> v3_tex_3(B,A) & m1_pre_topc(B,A))))))))) # label(t55_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12346 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_2(A,B,C) -> (v2_tops_1(B,A) <-> v1_tops_1(C,A))))))))) # label(t3_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12347 (all A (v2_pre_topc(A) & -v3_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v3_tex_3(B,A) & v1_borsuk_1(B,A) -> (exists C (-v3_struct_0(C) & v1_tsep_1(C,A) & v2_tex_2(C,A) & r4_tsep_2(A,B,C) & m1_pre_topc(C,A) & v1_tex_3(C,A) & v1_pre_topc(C))))))) # label(t69_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12348 (all A (-v3_struct_0(A) & -v3_realset2(A) & l1_pre_topc(A) & v1_tdlat_3(A) & v2_pre_topc(A) -> (exists B (v2_pre_topc(B) & v1_borsuk_1(B,A) & v2_tex_2(B,A) & -v5_tex_2(B,A) & -v2_tex_3(B,A) & -v1_tex_3(B,A) & v3_tdlat_3(B) & v1_tdlat_3(B) & v1_tsep_1(B,A) & v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc5_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12349 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) -> (exists B (m1_pre_topc(B,A) & -v3_struct_0(B) & v1_pre_topc(B) & v4_tdlat_3(B) & v5_tdlat_3(B) & -v4_tex_3(B,A) & v3_tdlat_3(B) & v2_pre_topc(B))))) # label(rc8_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12350 (all A (-v3_struct_0(A) & v1_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tex_3(B,A) -> v2_pre_topc(B) & v1_tsep_1(B,A) & v1_tdlat_3(B) & v3_tdlat_3(B) & -v2_tex_2(B,A) & v1_tex_3(B,A) & v2_tex_3(B,A) & -v3_tex_3(B,A) & -v4_tex_3(B,A) & v5_tex_2(B,A) & v1_borsuk_1(B,A)))))) # label(cc24_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12351 (all A (v2_pre_topc(A) & -v3_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_tex_3(B,A) & m1_pre_topc(B,A) -> -((all C (-v3_struct_0(C) & v1_pre_topc(C) & m1_pre_topc(C,A) & v1_tex_3(C,A) & v2_tex_2(C,A) & v1_tsep_1(C,A) -> (all D (m1_pre_topc(D,A) & v4_tex_3(D,A) & v1_pre_topc(D) & -v3_struct_0(D) -> -(g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = k1_tsep_1(A,C,D) & r1_tsep_1(A,C,D)))))) & -(v1_tsep_1(B,A) & v1_tex_3(B,A))))))) # label(t73_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12352 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> v1_tops_3(C,A)))) <-> v2_tex_3(B,A)))))) # label(d2_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12353 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v3_tdlat_3(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_3(B,A) -> -v2_tex_2(B,A) & v1_tex_3(B,A) & v2_tex_3(B,A) & -v4_tex_3(B,A) & -v3_tex_3(B,A) & v1_tsep_1(B,A) & v1_borsuk_1(B,A) & v2_pre_topc(B)))))) # label(cc27_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12354 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> (v2_tex_3(B,A) <-> v1_tops_3(C,A))))))))) # label(t16_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12355 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> (v1_tops_1(C,A) <-> v1_tex_3(B,A))))))))) # label(t9_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12356 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v2_tex_3(B,A) & -v3_struct_0(B) -> (all C (v2_tex_3(C,B) & m1_pre_topc(C,B) & -v3_struct_0(C) -> m1_pre_topc(C,A) & v2_tex_3(C,A))))))) # label(t21_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12357 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tsep_1(B,A) & v1_tex_3(B,A) -> v1_tsep_1(B,A) & -v2_tex_2(B,A) & v2_tex_3(B,A) & -v4_tex_3(B,A) & -v3_tex_3(B,A) & v1_tex_3(B,A) & v1_borsuk_1(B,A) & v2_pre_topc(B)))))) # label(cc31_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12358 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (-v3_struct_0(C) & v1_pre_topc(C) & v1_tex_3(C,A) & m1_pre_topc(C,A) & v1_tsep_1(C,A) -> B != u1_struct_0(C))) & v3_pre_topc(B,A) & v1_tops_1(B,A)))))) # label(t23_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12359 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> (v3_tex_3(B,A) <-> v2_tops_1(C,A))))))))) # label(t29_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12360 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_3(B,A) -> v2_pre_topc(B) & -v3_tex_3(B,A)))))) # label(cc13_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12361 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (l1_pre_topc(B) & v2_pre_topc(B) & -v3_struct_0(B) -> (all C (v2_pre_topc(C) & l1_pre_topc(C) & -v3_struct_0(C) -> (g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = C -> (v1_tex_3(C,A) & m1_pre_topc(C,A) <-> v1_tex_3(B,A) & m1_pre_topc(B,A))))))))) # label(t15_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12362 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v1_tex_3(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (m1_pre_topc(B,C) -> m1_pre_topc(B,C) & v1_tex_3(B,C)))))))) # label(t13_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12363 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (v1_pre_topc(B) & v2_tex_3(B,A) & v1_tex_3(B,A) & v1_tsep_1(B,A) & v2_pre_topc(B) & -v3_struct_0(B) & m1_pre_topc(B,A))))) # label(rc3_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12364 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (m1_pre_topc(C,B) & v4_tex_3(B,A) -> v4_tex_3(C,A)))))))) # label(t40_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12365 (all A (-v3_struct_0(A) & -v3_realset2(A) & l1_pre_topc(A) & v2_pre_topc(A) -> ((all B (v2_tex_2(B,A) & m1_pre_topc(B,A) -> -v2_tex_3(B,A))) -> v3_tdlat_3(A)))) # label(t57_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12366 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (r4_tsep_2(A,B,C) -> v2_tex_2(B,A) & v2_tex_2(C,A)))))))) # label(t6_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12367 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & -v3_tdlat_3(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (m1_pre_topc(C,A) & v4_tex_3(C,A) & v1_pre_topc(C) & -v3_struct_0(C) -> B != u1_struct_0(C))) & v3_tops_1(B,A)))))) # label(t62_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12368 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> -(v3_tdlat_3(A) & (exists B (v2_tex_2(B,A) & v1_tsep_1(B,A) & v1_tex_3(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B)))))) # label(t61_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12369 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> (v4_tex_3(B,A) <-> v3_tops_1(C,A))))))))) # label(t35_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12370 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> -(-r1_tsep_1(A,B,C) & -v3_tex_3(k2_tsep_1(A,B,C),A) & (v3_tex_3(B,A) | v3_tex_3(C,A))))))))) # label(t43_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12371 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v4_tex_3(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,u1_struct_0(B)) -> v3_tops_1(C,A))))))))) # label(t39_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12372 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v2_tops_1(B,A) & (all C (-v3_struct_0(C) & m1_pre_topc(C,A) & v1_borsuk_1(C,A) & v1_pre_topc(C) -> -(u1_struct_0(C) = B & v3_tex_3(C,A)))) & v4_pre_topc(B,A)))))) # label(t41_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12373 (all A (-v1_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v3_tex_3(B,A) -> (exists C (v1_pre_topc(C) & r4_tsep_2(A,B,C) & m1_pre_topc(C,A) & v1_tex_3(C,A) & v2_tex_2(C,A) & -v3_struct_0(C))))))) # label(t53_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12374 (all A (l1_pre_topc(A) & -v3_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v1_tops_1(B,A) & v3_pre_topc(B,A) & (all C (v1_pre_topc(C) & v2_tex_2(C,A) & v1_tex_3(C,A) & m1_pre_topc(C,A) & v1_tsep_1(C,A) -> u1_struct_0(C) != B))))))) # label(t68_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12375 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v2_tex_3(B,A) -> v2_pre_topc(B) & v2_tex_2(B,A)))))) # label(cc7_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12376 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v4_tex_3(B,A) -> -v2_tex_3(B,A) & -v1_tex_3(B,A) & v2_tex_2(B,A) & v2_pre_topc(B)))))) # label(cc17_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12377 (all A (-v3_struct_0(A) & v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v3_tex_3(B,A) & -v3_struct_0(B) -> v2_pre_topc(B) & v4_tdlat_3(B) & v2_tex_2(B,A) & v5_tdlat_3(B) & v3_tdlat_3(B) & -v1_borsuk_1(B,A) & -v3_struct_0(B)))))) # label(cc28_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12378 (all A (v2_pre_topc(A) & -v3_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_tex_2(B,A) & v2_tex_3(B,A) & m1_pre_topc(B,A) -> (exists C (v1_pre_topc(C) & v1_tsep_1(C,A) & (exists D (v3_tex_3(D,A) & m1_pre_topc(D,A) & r3_tsep_2(A,C,D) & m1_pre_topc(C,B) & v1_borsuk_1(D,A) & v1_pre_topc(D))) & m1_pre_topc(C,A) & v1_tex_3(C,A) & v2_tex_2(C,A))))))) # label(t75_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12379 (all A (l1_pre_topc(A) & -v1_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v1_tex_3(B,A) & v2_tex_2(B,A) -> (exists C (v1_pre_topc(C) & v3_tex_3(C,A) & r4_tsep_2(A,B,C) & m1_pre_topc(C,A) & -v3_struct_0(C))))))) # label(t54_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12380 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_borsuk_1(B,A) & v1_tex_3(B,A) -> v2_pre_topc(B) & v1_borsuk_1(B,A) & v1_tsep_1(B,A) & -v2_tex_2(B,A)))))) # label(cc1_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12381 (all A (-v3_struct_0(A) & -v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v1_xboole_0(B) & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v1_tops_3(B,A) & (all C (v2_tex_2(C,A) & m1_pre_topc(C,A) & v2_tex_3(C,A) & v1_pre_topc(C) -> B != u1_struct_0(C)))))))) # label(t63_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12382 (all A (-v3_struct_0(A) & l1_pre_topc(A) & -v1_tdlat_3(A) & v2_pre_topc(A) -> (exists B (-v3_struct_0(B) & -v1_tsep_1(B,A) & -v2_tex_3(B,A) & v3_tex_3(B,A) & v2_tex_2(B,A) & v2_pre_topc(B) & v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc6_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12383 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & -v3_tdlat_3(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> -((all C (v1_pre_topc(C) & v3_tex_3(C,A) & m1_pre_topc(C,A) & v1_borsuk_1(C,A) & -v3_struct_0(C) -> B != u1_struct_0(C))) & v4_pre_topc(B,A) & v2_tops_1(B,A)))))) # label(t67_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12384 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v3_tex_3(B,A) & -v4_tex_3(B,A) -> -v1_borsuk_1(B,A) & v2_tex_2(B,A) & v2_pre_topc(B)))))) # label(cc20_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12385 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (v2_tex_3(B,A) | v2_tex_3(C,A) -> m1_pre_topc(k1_tsep_1(A,B,C),A) & v2_tex_3(k1_tsep_1(A,B,C),A)))))))) # label(t26_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12386 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v4_tex_3(B,A) -> v2_pre_topc(B) & v2_tex_2(B,A) & -v2_tex_3(B,A) & v3_tex_3(B,A)))))) # label(cc15_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12387 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v1_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) -> v1_borsuk_1(B,A) & v1_tsep_1(B,A) & v3_tdlat_3(B) & v4_tdlat_3(B) & -v4_tex_3(B,A) & -v3_tex_3(B,A) & v5_tdlat_3(B) & v1_tdlat_3(B) & v2_pre_topc(B) & -v3_struct_0(B)))))) # label(cc22_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12388 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_borsuk_1(B,A) & v3_tex_3(B,A) -> v2_tex_2(B,A) & -v2_tex_3(B,A) & v4_tex_3(B,A) & v3_tex_3(B,A) & -v1_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc19_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12389 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v1_tdlat_3(A) & -v3_struct_0(A) -> (exists B (-v3_struct_0(B) & v2_pre_topc(B) & v1_tex_3(B,A) & -v4_tex_3(B,A) & v2_tex_2(B,A) & -v1_borsuk_1(B,A) & v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc7_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12390 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_tex_3(B,A) & v1_tsep_1(B,A) -> v2_pre_topc(B) & v1_tex_3(B,A) & v2_tex_3(B,A)))))) # label(cc8_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12391 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_tex_3(B,A) -> -v4_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc16_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12392 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> -((exists B (v1_borsuk_1(B,A) & v3_tex_3(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B))) & v3_tdlat_3(A)))) # label(t59_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12393 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_tops_1(B,A) & (all C (m1_pre_topc(C,A) & v1_pre_topc(C) -> -(v4_tex_3(C,A) & B = u1_struct_0(C))))))))) # label(t36_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12394 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tex_3(B,A) & -v2_tex_3(B,A) -> v2_tex_2(B,A) & -v1_tsep_1(B,A) & v2_pre_topc(B)))))) # label(cc9_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12395 (all A (l1_pre_topc(A) & -v3_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & -v3_struct_0(B) & v2_pre_topc(B) & v1_borsuk_1(B,A) & -v1_tsep_1(B,A) & -v2_tex_3(B,A) & v4_tex_3(B,A) & v3_tex_3(B,A) & -v1_tex_3(B,A) & v2_tex_2(B,A) & v1_pre_topc(B))))) # label(rc12_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12396 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (r3_tsep_2(A,B,C) -> (v3_tex_3(C,A) <-> v1_tex_3(B,A))))))))) # label(t31_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12397 (all A (v2_pre_topc(A) & -v1_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v2_tops_1(B,A) & (all C (v1_pre_topc(C) & v3_tex_3(C,A) & m1_pre_topc(C,A) -> u1_struct_0(C) != B))))))) # label(t51_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12398 (all A (v2_pre_topc(A) & -v3_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v1_tex_3(B,A) & m1_pre_topc(B,A) & v2_tex_2(B,A) & v1_tsep_1(B,A) -> (exists C (-v3_struct_0(C) & v1_borsuk_1(C,A) & r4_tsep_2(A,B,C) & m1_pre_topc(C,A) & v3_tex_3(C,A) & v1_pre_topc(C))))))) # label(t70_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12399 (all A (v3_tdlat_3(A) & -v3_realset2(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (v2_pre_topc(B) & v2_tex_2(B,A) & -v2_tex_3(B,A) & v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc9_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12400 (all A (-v3_struct_0(A) & l1_pre_topc(A) & -v3_tdlat_3(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_tex_2(B,A) & m1_pre_topc(B,A) & v2_tex_3(B,A) -> (exists C (-v3_struct_0(C) & v1_pre_topc(C) & v4_tex_3(C,A) & m1_pre_topc(C,A) & r4_tsep_2(A,B,C))))))) # label(t65_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12401 (all A (l1_pre_topc(A) & -v3_realset2(A) & v2_pre_topc(A) & -v3_struct_0(A) -> ((all B (v2_tex_2(B,A) & m1_pre_topc(B,A) -> -v1_tex_3(B,A))) -> v1_tdlat_3(A)))) # label(t48_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12402 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> -(v3_tdlat_3(A) & (exists B (v4_tex_3(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B)))))) # label(t58_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12403 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> -((v4_tex_3(C,A) | v4_tex_3(B,A)) & -v4_tex_3(k2_tsep_1(A,B,C),A) & -r1_tsep_1(A,B,C)))))))) # label(t46_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12404 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (r3_tsep_2(A,B,C) -> (v4_tex_3(C,A) <-> v2_tex_3(B,A))))))))) # label(t37_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12405 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & -v3_realset2(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v2_tex_2(B,A) -> (exists C (v2_tex_2(C,A) & r4_tsep_2(A,B,C) & m1_pre_topc(C,A) & v1_pre_topc(C) & -v3_struct_0(C))))))) # label(t8_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12406 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_2(A,B,C) -> (v3_tops_1(B,A) <-> v1_tops_3(C,A))))))))) # label(t5_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12407 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> ((all B (m1_pre_topc(B,A) -> -v3_tex_3(B,A))) -> v1_tdlat_3(A)))) # label(t47_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12408 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (v3_tex_3(C,A) & v4_tex_3(B,A) | v3_tex_3(B,A) & v4_tex_3(C,A) -> v3_tex_3(k1_tsep_1(A,B,C),A)))))))) # label(t45_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12409 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> -(v1_tdlat_3(A) & (exists B (v1_tex_3(B,A) & v2_tex_2(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B)))))) # label(t50_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12410 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_tdlat_3(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & -v1_borsuk_1(B,A) & v1_tsep_1(B,A) & v2_tex_2(B,A) & v1_tex_3(B,A) & v2_tex_3(B,A) & -v3_tex_3(B,A) & -v4_tex_3(B,A) & -v3_struct_0(B))))) # label(rc13_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12411 (all A (-v3_struct_0(A) & v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) -> v2_pre_topc(B) & -v4_tex_3(B,A) & v5_tdlat_3(B) & v4_tdlat_3(B) & v3_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc25_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12412 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> -(v3_tdlat_3(A) & (exists B (-v3_struct_0(B) & m1_pre_topc(B,A) & v2_tex_3(B,A) & v2_tex_2(B,A)))))) # label(t60_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12413 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tex_3(B,A) -> v2_pre_topc(B) & -v4_tex_3(B,A)))))) # label(cc18_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12414 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v1_tex_3(B,A) -> -v2_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc5_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12415 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_2(A,B,C) -> (-v1_xboole_0(B) <-> v1_tex_2(C,k1_zfmisc_1(u1_struct_0(A))))))))))) # label(t1_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12416 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_tsep_1(B,A) & -v2_tex_3(B,A) -> v2_tex_2(B,A) & -v2_tex_3(B,A) & -v1_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc10_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12417 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & -v3_struct_0(C) -> (r4_tsep_2(A,B,C) -> (v4_tex_3(B,A) <-> v2_tex_3(C,A))))))))) # label(t38_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12418 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v4_tex_3(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> v3_tops_1(C,A))))))))) # label(d4_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12419 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> ((exists C (-v3_struct_0(C) & v1_pre_topc(C) & m1_pre_topc(C,A) & m1_pre_topc(B,C) & v3_tex_3(C,A) & v1_borsuk_1(C,A))) <-> v4_tex_3(B,A)))))) # label(t42_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12420 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> -(v1_tdlat_3(A) & (exists B (-v3_struct_0(B) & v3_tex_3(B,A) & m1_pre_topc(B,A)))))) # label(t49_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12421 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v2_tex_3(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> (v1_tops_3(D,B) <-> v1_tops_3(C,A))))))))))) # label(t18_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12422 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v2_tex_2(B,A) -> v2_pre_topc(B) & v2_tex_3(B,A)))))) # label(cc6_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12423 (all A (-v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v4_tex_3(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B) -> (exists C (v1_tsep_1(C,A) & v2_tex_2(C,A) & m1_pre_topc(C,A) & (exists D (-v3_struct_0(D) & v1_pre_topc(D) & m1_pre_topc(D,A) & r4_tsep_2(A,C,D) & m1_pre_topc(B,D) & v3_tex_3(D,A) & v1_borsuk_1(D,A))) & v1_tex_3(C,A) & v1_pre_topc(C) & -v3_struct_0(C))))))) # label(t74_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12424 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & v1_tex_3(B,A) & -v3_struct_0(B) -> (all C (m1_pre_topc(C,B) & v1_tex_3(C,B) & -v3_struct_0(C) -> -v3_struct_0(C) & m1_pre_topc(C,A) & v1_tex_3(C,A))))))) # label(t14_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12425 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v1_borsuk_1(B,A) -> -v3_struct_0(B) & v2_pre_topc(B) & v3_tdlat_3(B) & v4_tdlat_3(B) & -v3_tex_3(B,A) & -v4_tex_3(B,A) & v5_tdlat_3(B)))))) # label(cc29_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12426 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v1_tex_3(B,A) & m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D -> (v1_tops_1(D,B) <-> v1_tops_1(C,A))))))))))) # label(t11_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12427 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v3_tex_3(B,A) -> v2_pre_topc(B) & -v2_tex_3(B,A) & v2_tex_2(B,A)))))) # label(cc14_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12428 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (v3_tex_3(B,A) & m1_pre_topc(C,B) -> v3_tex_3(C,A)))))))) # label(t34_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12429 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (v2_tex_3(C,A) & v2_tex_3(B,A) -> v2_tex_3(k2_tsep_1(A,B,C),A) & m1_pre_topc(k2_tsep_1(A,B,C),A)))))))) # label(t27_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12430 (all A (-v3_struct_0(A) & v2_pre_topc(A) & -v3_tdlat_3(A) & l1_pre_topc(A) -> (exists B (-v3_struct_0(B) & v2_pre_topc(B) & v2_tex_2(B,A) & -v1_tex_3(B,A) & v4_tex_3(B,A) & v3_tex_3(B,A) & -v2_tex_3(B,A) & -v1_tsep_1(B,A) & v1_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc10_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12431 (all A (-v3_struct_0(A) & v2_pre_topc(A) & -v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (v4_tex_3(B,A) <-> (exists C (-v3_struct_0(C) & v1_pre_topc(C) & v3_tex_3(C,A) & m1_pre_topc(C,A) & m1_pre_topc(B,C) & v1_borsuk_1(C,A)))))))) # label(t71_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12432 (all A (v2_pre_topc(A) & -v3_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v4_tex_3(B,A) & m1_pre_topc(B,A) -> -(-(v1_borsuk_1(B,A) & v3_tex_3(B,A)) & (all C (v2_tex_2(C,A) & v2_tex_3(C,A) & m1_pre_topc(C,A) & v1_pre_topc(C) & -v3_struct_0(C) -> (all D (v1_borsuk_1(D,A) & v3_tex_3(D,A) & m1_pre_topc(D,A) & v1_pre_topc(D) & -v3_struct_0(D) -> -(g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = k1_tsep_1(A,C,D) & k2_tsep_1(A,C,D) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)))))))))))) # label(t72_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12433 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (-v3_struct_0(C) & v1_pre_topc(C) & v1_tex_3(C,A) & m1_pre_topc(C,A) -> B != u1_struct_0(C))) & v1_tops_1(B,A)))))) # label(t10_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12434 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v3_tex_3(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,u1_struct_0(B)) -> v2_tops_1(C,A))))))))) # label(t33_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12435 (all A (-v3_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_tex_3(B,A) & v2_tex_2(B,A) -> v2_pre_topc(B) & -v1_tsep_1(B,A) & v2_tex_2(B,A)))))) # label(cc30_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12436 (all A (-v3_struct_0(A) & v1_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (v1_pre_topc(B) & v2_pre_topc(B) & v1_borsuk_1(B,A) & v1_tsep_1(B,A) & v1_tdlat_3(B) & v4_tdlat_3(B) & v5_tdlat_3(B) & -v4_tex_3(B,A) & -v3_tex_3(B,A) & v3_tdlat_3(B) & -v3_struct_0(B) & m1_pre_topc(B,A))))) # label(rc4_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12437 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & -v3_struct_0(B) & v1_pre_topc(B) & v2_pre_topc(B) & v1_tex_3(B,A))))) # label(rc1_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12438 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> v1_tops_1(C,A)))) <-> v1_tex_3(B,A)))))) # label(d1_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12439 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & l1_pre_topc(C) & v2_pre_topc(C) -> (g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = C -> (v2_tex_3(C,A) & m1_pre_topc(C,A) <-> m1_pre_topc(B,A) & v2_tex_3(B,A))))))))) # label(t22_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12440 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_tex_3(B,A) & v2_tex_2(B,A) -> v2_tex_2(B,A) & -v1_borsuk_1(B,A) & v2_pre_topc(B)))))) # label(cc2_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12441 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_2(B,A) & v1_borsuk_1(B,A) -> v2_pre_topc(B) & -v1_tex_3(B,A)))))) # label(cc3_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12442 (all A (v2_pre_topc(A) & v3_tdlat_3(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_2(B,A) -> v2_pre_topc(B) & -v2_tex_3(B,A) & v2_tex_2(B,A)))))) # label(cc26_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12443 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (v2_tex_3(C,A) & v1_tex_3(B,A) | v2_tex_3(B,A) & v1_tex_3(C,A) -> v1_tex_3(k2_tsep_1(A,B,C),A) & m1_pre_topc(k2_tsep_1(A,B,C),A)))))))) # label(t28_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12444 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_tex_3(B,A) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) -> (m1_pre_topc(B,C) -> v2_tex_3(C,A)))))))) # label(t19_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12445 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> -(v1_tops_3(B,A) & (all C (-v3_struct_0(C) & v1_pre_topc(C) & v2_tex_3(C,A) & m1_pre_topc(C,A) -> B != u1_struct_0(C)))))))) # label(t17_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12446 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_tex_3(B,A) -> (all C (m1_pre_topc(C,A) -> (m1_pre_topc(B,C) -> v1_tex_3(C,A)))))))) # label(t12_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12447 (all A (v2_pre_topc(A) & l1_pre_topc(A) & v3_tdlat_3(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_tsep_1(B,A) & v2_tex_2(B,A) -> v2_pre_topc(B) & v2_tex_2(B,A) & -v1_tex_3(B,A) & -v2_tex_3(B,A)))))) # label(cc32_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12448 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v1_tsep_1(B,A) -> -v3_struct_0(B) & -v3_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc11_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12449 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_2(A,B,C) -> (v1_tops_1(B,A) <-> v2_tops_1(C,A))))))))) # label(t2_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12450 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_3(B,A) -> v1_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc4_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12451 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> ((all B (m1_pre_topc(B,A) -> -v4_tex_3(B,A))) -> v3_tdlat_3(A)))) # label(t56_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.20 12452 (all A (l1_pre_topc(A) & v1_tdlat_3(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_2(B,A) -> v2_pre_topc(B) & v1_tsep_1(B,A) & v1_tdlat_3(B) & v3_tdlat_3(B) & -v5_tex_2(B,A) & -v1_tex_3(B,A) & -v2_tex_3(B,A) & v2_tex_2(B,A) & v1_borsuk_1(B,A)))))) # label(cc23_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12453 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_realset2(A) & -v3_struct_0(A) -> (all B (v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (exists C (m1_pre_topc(C,A) & B = u1_struct_0(C) & v2_tex_2(C,A) & v1_pre_topc(C) & -v3_struct_0(C))))))) # label(t7_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12454 (all A (-v3_tdlat_3(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) -> (all C (v2_pre_topc(C) & l1_pre_topc(C) & -v3_struct_0(C) -> (g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = C -> (v4_tex_3(B,A) & m1_pre_topc(B,A) <-> m1_pre_topc(C,A) & v4_tex_3(C,A))))))))) # label(t66_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12455 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_3(B,A) <-> (exists C (v1_pre_topc(C) & v1_tsep_1(C,A) & m1_pre_topc(C,A) & m1_pre_topc(C,B) & v1_tex_3(C,A)))))))) # label(t24_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12456 (all A (-v3_struct_0(A) & v2_pre_topc(A) & -v3_tdlat_3(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & v4_tex_3(B,A) & m1_pre_topc(B,A) -> (exists C (-v3_struct_0(C) & v2_tex_2(C,A) & r4_tsep_2(A,B,C) & m1_pre_topc(C,A) & v2_tex_3(C,A) & v1_pre_topc(C))))))) # label(t64_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12457 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v1_borsuk_1(B,A) & -v4_tex_3(B,A) -> -v4_tex_3(B,A) & -v3_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc21_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12458 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_tex_3(B,A) & m1_pre_topc(B,A) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (m1_pre_topc(B,C) -> m1_pre_topc(B,C) & v2_tex_3(B,C)))))))) # label(t20_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12459 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v2_tops_1(B,A) & (all C (m1_pre_topc(C,A) & v1_pre_topc(C) -> -(v3_tex_3(C,A) & u1_struct_0(C) = B)))))))) # label(t30_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12460 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & -v3_tdlat_3(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & -v1_borsuk_1(B,A) & v1_tex_3(B,A) & v2_tex_3(B,A) & -v3_tex_3(B,A) & -v4_tex_3(B,A) & v2_tex_2(B,A) & v2_pre_topc(B) & -v3_struct_0(B))))) # label(rc11_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12461 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v3_tex_3(B,A) & -v3_struct_0(B) -> -v3_struct_0(B) & v2_pre_topc(B) & -v1_tsep_1(B,A) & v2_tex_2(B,A)))))) # label(cc12_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12462 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m1_pre_topc(C,A) -> (v4_tex_3(C,A) & v4_tex_3(B,A) -> v4_tex_3(k1_tsep_1(A,B,C),A)))))))) # label(t44_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12463 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_tsep_2(A,B,C) -> (v1_tops_3(B,A) <-> v3_tops_1(C,A))))))))) # label(t4_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12464 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v3_tex_3(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> v2_tops_1(C,A))))))))) # label(d3_tex_3) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12465 (all A all B (m1_pboole(B,u1_struct_0(A)) & l1_struct_0(A) -> (all C all D (g2_msualg_1(C,D) = g2_msualg_1(A,B) -> B = D & C = A)))) # label(free_g2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12466 (all A (l1_struct_0(A) -> (exists B l2_msualg_1(B,A)))) # label(existence_l2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12467 (all A all B all C (l1_msualg_1(A) & m1_pboole(B,u1_struct_0(A)) & m3_pboole(C,u1_msualg_1(A),k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),B)),k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),B)) & -v3_struct_0(A) -> (all D all E all F (g3_msualg_1(A,B,C) = g3_msualg_1(D,E,F) -> D = A & B = E & F = C)))) # label(free_g3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12468 (all A all B (v3_realset2(A) & l3_msualg_1(B,A) & v5_msualg_1(B,A) & l1_msualg_1(A) & -v3_struct_0(A) -> -v1_xboole_0(k11_msualg_1(A,B)))) # label(fc4_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12469 (all A (-v3_struct_0(A) & l1_msualg_1(A) -> (exists B (v4_msualg_1(B,A) & v5_msualg_1(B,A) & l3_msualg_1(B,A))))) # label(rc6_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12470 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> k1_msualg_1(A,B) = k1_funct_1(u2_msualg_1(A),B))))) # label(d6_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12471 (all A (v3_realset2(A) & -v2_msualg_1(A) & l1_msualg_1(A) & v6_msualg_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (v5_msualg_1(C,A) & l3_msualg_1(C,A) -> r1_tarski(k3_msualg_1(A,B,C),k3_finseq_2(k11_msualg_1(A,C))))))))) # label(t13_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12472 (all A (-v3_struct_0(A) & l1_msualg_1(A) -> (exists B l3_msualg_1(B,A)))) # label(existence_l3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12473 (all A all B (-v2_msualg_1(A) & l1_msualg_1(A) & v5_msualg_1(B,A) & l3_msualg_1(B,A) & v6_msualg_1(A) & v3_realset2(A) & -v3_struct_0(A) -> v6_unialg_1(k13_msualg_1(A,B)) & v7_unialg_1(k13_msualg_1(A,B)) & l1_unialg_1(k13_msualg_1(A,B)) & v8_unialg_1(k13_msualg_1(A,B)) & v3_unialg_1(k13_msualg_1(A,B)) & -v3_struct_0(k13_msualg_1(A,B)))) # label(dt_k13_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12474 $T # label(t2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12475 (all A (-v3_struct_0(A) & l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) -> (all B (-v2_msualg_1(B) & v6_msualg_1(B) & l1_msualg_1(B) & v1_msualg_1(B) & v3_realset2(B) -> (k7_msualg_1(A) = B <-> u1_struct_0(B) = k1_tarski(np__0) & k4_finseq_1(k6_msualg_1(A)) = u1_msualg_1(B) & u2_msualg_1(B) = k1_partfun1(k5_numbers,k5_numbers,k5_numbers,k3_finseq_2(k1_tarski(np__0)),k6_msualg_1(A),k9_pboole(np__0)) & k10_pboole(k4_finseq_1(k6_msualg_1(A)),np__0) = u3_msualg_1(B)))))) # label(d13_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12476 (all A (-v3_struct_0(A) & v8_unialg_1(A) & l1_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) -> k8_msualg_1(A) = k10_pboole(k1_tarski(np__0),u1_struct_0(A)))) # label(d14_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12477 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> k1_funct_1(u3_msualg_1(A),B) = k2_msualg_1(A,B))))) # label(d7_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12478 (all A (v8_unialg_1(A) & l1_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) & -v3_struct_0(A) -> v4_msualg_1(k10_msualg_1(A),k7_msualg_1(A)) & l3_msualg_1(k10_msualg_1(A),k7_msualg_1(A)))) # label(dt_k10_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.77/188.21 12479 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) -> k4_msualg_1(A,B,C) = k1_funct_1(k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),u4_msualg_1(A,C)),B))))))) # label(d10_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12480 (all A all B (m1_pboole(B,u1_struct_0(A)) & l1_struct_0(A) -> l2_msualg_1(g2_msualg_1(A,B),A) & v3_msualg_1(g2_msualg_1(A,B),A))) # label(dt_g2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12481 (all A (-v3_struct_0(A) & l1_msualg_1(A) -> (exists B (v4_msualg_1(B,A) & l3_msualg_1(B,A))))) # label(rc5_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12482 (all A all B (l1_msualg_1(A) & l3_msualg_1(B,A) & -v3_struct_0(A) -> m3_pboole(u5_msualg_1(A,B),u1_msualg_1(A),k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),u4_msualg_1(A,B))),k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),u4_msualg_1(A,B))))) # label(dt_u5_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12483 (all A (v7_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) & v6_unialg_1(A) & -v3_struct_0(A) -> -v1_xboole_0(k3_unialg_1(A)))) # label(t9_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12484 $T # label(t5_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12485 (all A (v3_realset2(A) & l1_msualg_1(A) & v6_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> m2_finseq_1(u5_msualg_1(A,B),k4_partfun1(k3_finseq_2(k11_msualg_1(A,B)),k11_msualg_1(A,B))))))) # label(t14_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12486 (all A all B (l1_struct_0(A) & l2_msualg_1(B,A) -> (v3_msualg_1(B,A) -> B = g2_msualg_1(A,u4_msualg_1(A,B))))) # label(abstractness_v3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12487 (all A all B (-v3_struct_0(A) & l1_msualg_1(A) & v5_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (m1_subset_1(C,k2_relat_1(u4_msualg_1(A,B))) -> -v1_xboole_0(C))))) # label(cc1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12488 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) -> k3_msualg_1(A,B,C) = k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),u4_msualg_1(A,C))),B))))))) # label(d9_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12489 (all A (-v1_xboole_0(A) -> (all B (m2_subset_1(B,k1_numbers,k5_numbers) -> r1_tarski(k4_finseq_2(B,A),k3_finseq_2(A)))))) # label(t12_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12490 (all A (-v3_struct_0(A) & l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) -> v3_realset2(k7_msualg_1(A)) & -v2_msualg_1(k7_msualg_1(A)) & l1_msualg_1(k7_msualg_1(A)) & v6_msualg_1(k7_msualg_1(A)) & v1_msualg_1(k7_msualg_1(A)))) # label(dt_k7_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12491 $T # label(dt_u1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12492 $T # label(t4_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12493 (all A (l1_msualg_1(A) -> m2_relset_1(u3_msualg_1(A),u1_msualg_1(A),u1_struct_0(A)) & v1_funct_2(u3_msualg_1(A),u1_msualg_1(A),u1_struct_0(A)) & v1_funct_1(u3_msualg_1(A)))) # label(dt_u3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12494 (all A all B (l1_msualg_1(A) & l3_msualg_1(B,A) & v5_msualg_1(B,A) & -v3_struct_0(A) -> (all C (m1_subset_1(C,k2_relat_1(k6_pboole(u1_struct_0(A),u4_msualg_1(A,B)))) -> -v1_xboole_0(C))))) # label(cc2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12495 (all A (-v1_xboole_0(A) -> (all B (v1_funct_1(B) & v2_unialg_1(B,A) & m2_relset_1(B,k3_finseq_2(A),A) & v1_unialg_1(B,A) & -v1_xboole_0(B) -> k1_funct_2(k2_finseq_1(k2_unialg_1(A,B)),A) = k1_relat_1(B))))) # label(t8_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12496 (all A all B all C all D (m1_relset_1(C,B,k3_finseq_2(A)) & v1_funct_2(D,B,A) & m1_relset_1(D,B,A) & v1_funct_1(D) & v1_funct_2(C,B,k3_finseq_2(A)) & v1_funct_1(C) -> l1_msualg_1(g1_msualg_1(A,B,C,D)) & v1_msualg_1(g1_msualg_1(A,B,C,D)))) # label(dt_g1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12497 (all A (l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> l2_msualg_1(B,A))))) # label(dt_l3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12498 (all A (-v3_struct_0(A) & v3_realset2(A) & l1_msualg_1(A) & v6_msualg_1(A) & -v2_msualg_1(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) & v5_msualg_1(C,A) -> k3_msualg_1(A,B,C) = k4_finseq_2(k3_finseq_1(k1_msualg_1(A,B)),k11_msualg_1(A,C)))))))) # label(t11_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12499 (exists A l1_msualg_1(A)) # label(existence_l1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12500 $T # label(t1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12501 (all A (v3_unialg_1(A) & v6_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) & v7_unialg_1(A) & -v3_struct_0(A) -> A = k13_msualg_1(k7_msualg_1(A),k10_msualg_1(A)))) # label(t15_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12502 (exists A (l1_msualg_1(A) & v1_msualg_1(A) & v2_msualg_1(A) & -v3_struct_0(A))) # label(rc2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12503 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) -> k5_msualg_1(A,B,C) = k1_funct_1(u5_msualg_1(A,C),B))))))) # label(d11_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12504 (all A (l1_msualg_1(A) -> (u1_msualg_1(A) = k1_xboole_0 <-> v2_msualg_1(A)))) # label(d5_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12505 (all A all B all C all D (v1_funct_2(C,B,k3_finseq_2(A)) & m1_relset_1(D,B,A) & v1_funct_2(D,B,A) & v1_funct_1(D) & m1_relset_1(C,B,k3_finseq_2(A)) & v1_funct_1(C) -> (all E all F all G all H (g1_msualg_1(E,F,G,H) = g1_msualg_1(A,B,C,D) -> A = E & B = F & H = D & G = C)))) # label(free_g1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12506 (all A (v7_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) & v6_unialg_1(A) & -v3_struct_0(A) -> k9_msualg_1(A) = u1_unialg_1(A))) # label(d15_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12507 (all A (-v3_struct_0(A) & v7_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) & v6_unialg_1(A) -> g3_msualg_1(k7_msualg_1(A),k8_msualg_1(A),k9_msualg_1(A)) = k10_msualg_1(A))) # label(d16_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12508 (all A all B (l1_struct_0(A) & l2_msualg_1(B,A) -> m1_pboole(u4_msualg_1(A,B),u1_struct_0(A)))) # label(dt_u4_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12509 (all A all B (-v2_msualg_1(A) & l1_msualg_1(A) & m1_subset_1(B,u1_msualg_1(A)) & -v3_struct_0(A) -> m2_finseq_2(k1_msualg_1(A,B),u1_struct_0(A),k3_finseq_2(u1_struct_0(A))))) # label(dt_k1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12510 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) & v5_msualg_1(C,A) -> -v1_xboole_0(k5_msualg_1(A,B,C)))))))) # label(t6_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12511 (all A (v8_unialg_1(A) & l1_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) & -v3_struct_0(A) -> m3_pboole(k9_msualg_1(A),u1_msualg_1(k7_msualg_1(A)),k8_pboole(u1_msualg_1(k7_msualg_1(A)),k3_finseq_2(u1_struct_0(k7_msualg_1(A))),u2_msualg_1(k7_msualg_1(A)),k6_pboole(u1_struct_0(k7_msualg_1(A)),k8_msualg_1(A))),k8_pboole(u1_msualg_1(k7_msualg_1(A)),u1_struct_0(k7_msualg_1(A)),u3_msualg_1(k7_msualg_1(A)),k8_msualg_1(A))))) # label(dt_k9_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12512 (all A all B (v3_realset2(A) & -v2_msualg_1(A) & v5_msualg_1(B,A) & l3_msualg_1(B,A) & l1_msualg_1(A) & v6_msualg_1(A) & -v3_struct_0(A) -> m2_finseq_1(k12_msualg_1(A,B),k4_partfun1(k13_finseq_1(k11_msualg_1(A,B)),k11_msualg_1(A,B))))) # label(dt_k12_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12513 (all A (-v3_struct_0(A) & l1_msualg_1(A) -> (v3_realset2(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_subset_1(C,k2_relat_1(u4_msualg_1(A,B))) -> (all D (m1_subset_1(D,k2_relat_1(u4_msualg_1(A,B))) -> D = C))))))))) # label(t10_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12514 (exists A (l1_msualg_1(A) & -v2_msualg_1(A) & v1_msualg_1(A) & -v3_struct_0(A))) # label(rc3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12515 $T # label(t3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12516 (all A (l1_msualg_1(A) -> l1_struct_0(A))) # label(dt_l1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12517 (all A all B all C (l1_msualg_1(A) & m1_pboole(B,u1_struct_0(A)) & m3_pboole(C,u1_msualg_1(A),k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),B)),k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),B)) & -v3_struct_0(A) -> l3_msualg_1(g3_msualg_1(A,B,C),A) & v4_msualg_1(g3_msualg_1(A,B,C),A))) # label(dt_g3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12518 (all A all B all C (-v3_struct_0(A) & -v2_msualg_1(A) & m1_subset_1(B,u1_msualg_1(A)) & l3_msualg_1(C,A) & l1_msualg_1(A) -> m1_subset_1(k3_msualg_1(A,B,C),k2_relat_1(k6_pboole(u1_struct_0(A),u4_msualg_1(A,C)))))) # label(dt_k3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12519 (all A (v6_unialg_1(A) & l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) & -v3_struct_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k4_finseq_1(k6_msualg_1(A)),k3_finseq_2(k1_tarski(np__0))) & v1_funct_2(B,k4_finseq_1(k6_msualg_1(A)),k3_finseq_2(k1_tarski(np__0))) -> (k1_partfun1(k5_numbers,k5_numbers,k5_numbers,k3_finseq_2(k1_tarski(np__0)),k6_msualg_1(A),k9_pboole(np__0)) = B -> g1_msualg_1(k1_tarski(np__0),k4_finseq_1(k6_msualg_1(A)),B,k10_pboole(k4_finseq_1(k6_msualg_1(A)),np__0)) = k7_msualg_1(A)))))) # label(t16_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12520 (all A (v6_unialg_1(A) & v7_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) & -v3_struct_0(A) -> m2_finseq_1(k6_msualg_1(A),k5_numbers))) # label(dt_k6_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12521 (all A all B (l2_msualg_1(B,A) & v5_msualg_1(B,A) & l1_struct_0(A) -> v1_funct_1(u4_msualg_1(A,B)) & v2_relat_1(u4_msualg_1(A,B)) & v1_relat_1(u4_msualg_1(A,B)))) # label(fc1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12522 $T # label(d2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12523 (all A (-v3_struct_0(A) & l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) -> v2_relat_1(k8_msualg_1(A)) & m1_pboole(k8_msualg_1(A),u1_struct_0(k7_msualg_1(A))))) # label(dt_k8_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12524 $T # label(d1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12525 (all A (l1_msualg_1(A) -> (v6_msualg_1(A) <-> (exists B (u1_msualg_1(A) = k2_finseq_1(B) & m2_subset_1(B,k1_numbers,k5_numbers)))))) # label(d12_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12526 (all A all B (l1_msualg_1(A) & l3_msualg_1(B,A) & -v3_struct_0(A) -> (v4_msualg_1(B,A) -> g3_msualg_1(A,u4_msualg_1(A,B),u5_msualg_1(A,B)) = B))) # label(abstractness_v4_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12527 $T # label(d4_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12528 (all A (l1_msualg_1(A) -> (v1_msualg_1(A) -> g1_msualg_1(u1_struct_0(A),u1_msualg_1(A),u2_msualg_1(A),u3_msualg_1(A)) = A))) # label(abstractness_v1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12529 (all A all B (-v3_struct_0(A) & l1_msualg_1(A) & m1_subset_1(B,u1_msualg_1(A)) & -v2_msualg_1(A) -> m1_subset_1(k2_msualg_1(A,B),u1_struct_0(A)))) # label(dt_k2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12530 (exists A (-v3_struct_0(A) & v3_realset2(A) & v1_msualg_1(A) & -v2_msualg_1(A) & v6_msualg_1(A) & l1_msualg_1(A))) # label(rc8_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12531 (all A all B all C (l3_msualg_1(C,A) & m1_subset_1(B,u1_msualg_1(A)) & l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> v1_funct_1(k5_msualg_1(A,B,C)) & v1_funct_2(k5_msualg_1(A,B,C),k3_msualg_1(A,B,C),k4_msualg_1(A,B,C)) & m2_relset_1(k5_msualg_1(A,B,C),k3_msualg_1(A,B,C),k4_msualg_1(A,B,C)))) # label(dt_k5_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12532 $T # label(d3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12533 (all A (-v3_struct_0(A) & v6_unialg_1(A) & v8_unialg_1(A) & l1_unialg_1(A) & v7_unialg_1(A) -> -v3_struct_0(k7_msualg_1(A)) & v1_msualg_1(k7_msualg_1(A)) & -v2_msualg_1(k7_msualg_1(A)) & v6_msualg_1(k7_msualg_1(A)) & v3_realset2(k7_msualg_1(A)))) # label(fc2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12534 (all A (-v3_struct_0(A) & v3_realset2(A) & -v2_msualg_1(A) & l1_msualg_1(A) & v6_msualg_1(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> k13_msualg_1(A,B) = g1_unialg_1(k11_msualg_1(A,B),k12_msualg_1(A,B)))))) # label(d19_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12535 $T # label(dt_l2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12536 (all A (v3_realset2(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (k11_msualg_1(A,B) = C <-> m1_subset_1(C,k2_relat_1(u4_msualg_1(A,B))))))))) # label(d17_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12537 $T # label(dt_k11_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12538 (all A (l1_msualg_1(A) -> v1_funct_1(u2_msualg_1(A)) & v1_funct_2(u2_msualg_1(A),u1_msualg_1(A),k3_finseq_2(u1_struct_0(A))) & m2_relset_1(u2_msualg_1(A),u1_msualg_1(A),k3_finseq_2(u1_struct_0(A))))) # label(dt_u2_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12539 (all A (l1_struct_0(A) -> (exists B (l2_msualg_1(B,A) & v5_msualg_1(B,A) & v3_msualg_1(B,A))))) # label(rc7_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12540 (all A (-v3_struct_0(A) & l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) -> v5_msualg_1(k10_msualg_1(A),k7_msualg_1(A)) & v4_msualg_1(k10_msualg_1(A),k7_msualg_1(A)))) # label(fc3_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12541 (all A (l1_struct_0(A) -> (all B (l2_msualg_1(B,A) -> (v5_msualg_1(B,A) <-> v2_relat_1(u4_msualg_1(A,B))))))) # label(d8_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12542 (all A (l1_struct_0(A) -> (exists B (v3_msualg_1(B,A) & l2_msualg_1(B,A))))) # label(rc4_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12543 (all A all B all C (-v3_struct_0(A) & -v2_msualg_1(A) & m1_subset_1(B,u1_msualg_1(A)) & l3_msualg_1(C,A) & l1_msualg_1(A) -> m1_subset_1(k4_msualg_1(A,B,C),k2_relat_1(u4_msualg_1(A,C))))) # label(dt_k4_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12544 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m2_relset_1(D,A,B) & v1_funct_1(D) -> (all E (m2_relset_1(E,B,C) & v1_funct_2(E,B,C) & v1_funct_1(E) -> m2_relset_1(k1_partfun1(A,B,B,C,D,E),k1_relat_1(D),C) & v1_funct_2(k1_partfun1(A,B,B,C,D,E),k1_relat_1(D),C) & v1_funct_1(k1_partfun1(A,B,B,C,D,E)))))))))) # label(t7_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12545 (exists A (l1_msualg_1(A) & v1_msualg_1(A))) # label(rc1_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12546 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & v6_msualg_1(A) & v3_realset2(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> k12_msualg_1(A,B) = u5_msualg_1(A,B))))) # label(d18_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12547 (all A (l1_unialg_1(A) & v8_unialg_1(A) & v7_unialg_1(A) & v6_unialg_1(A) & -v3_struct_0(A) -> k3_unialg_1(A) = k6_msualg_1(A))) # label(redefinition_k6_msualg_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12548 $T # label(t2_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12549 (all A (-v3_struct_0(A) & v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_autgroup(A,k2_group_1(A)) = k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k3_group_1(A,B)),k6_autgroup(A,B)))))) # label(t26_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12550 (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)) -> k6_autgroup(A,k2_group_1(A)) = k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,k3_group_1(A,B))))))) # label(t27_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12551 (all A (v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k2_group_1(A)),B) = B & k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),B,k6_autgroup(A,k2_group_1(A))) = B)))) # label(t30_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12552 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_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]. 188.87/188.21 12553 (all A (-v3_struct_0(A) & v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> m2_fraenkel(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)))))) # label(t7_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12554 (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,k3_autgroup(A)) & v1_group_3(B,k3_autgroup(A)) & v1_group_1(B) -> (k4_autgroup(A) = u1_struct_0(B) <-> k5_autgroup(A) = B))))) # label(d5_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12555 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_group_6(B,A,A) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(B) -> (r2_hidden(B,k1_autgroup(A)) <-> v4_group_6(B,A,A)))))) # label(t5_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12556 (all A (v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> (all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> m2_fraenkel(k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,B),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)))))))) # label(t18_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12557 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> r1_tarski(k4_autgroup(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))))) # label(t12_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12558 (all A (v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> r2_group_6(k5_autgroup(A),k6_group_6(A,k10_group_5(A))))) # label(t31_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12559 (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)) -> k6_autgroup(A,k1_group_1(A,B,C)) = k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,C)))))))) # label(t23_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12560 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_funct_1(k6_autgroup(A,B)) = k6_autgroup(A,k3_group_1(A,B)))))) # label(t28_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12561 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> r1_tarski(k1_autgroup(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))))) # label(t3_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12562 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> m2_fraenkel(k6_partfun1(u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)))) # label(t4_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12563 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_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]. 188.87/188.21 12564 (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_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) -> ((all C (m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) & v1_group_6(C,A,A) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(C) -> (r2_hidden(C,B) <-> v3_group_6(C,A,A) & v2_funct_1(C)))) & (all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),B) -> v1_group_6(C,A,A) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(C))) <-> B = k1_autgroup(A)))))) # label(d1_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12565 (all A (v1_group_1(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_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> (k6_autgroup(A,B) = C <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> k2_group_3(A,D,B) = k8_funct_2(u1_struct_0(A),u1_struct_0(A),C,D)))))))))) # label(d6_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12566 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) -> m2_fraenkel(k6_partfun1(u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)))) # label(t16_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12567 (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_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)) & v1_funct_2(B,k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)) -> ((all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> (all D (m2_fraenkel(D,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),D,C) = k2_binop_1(k1_autgroup(A),k1_autgroup(A),k1_autgroup(A),B,C,D))))) <-> k2_autgroup(A) = B))))) # label(d2_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12568 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)))))) # label(t13_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12569 (all A (v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> (all C (m1_subset_1(C,u1_struct_0(k5_autgroup(A))) -> (B = C -> k3_group_1(k5_autgroup(A),C) = k2_funct_1(B)))))))) # label(t22_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12570 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) -> r1_tarski(k4_autgroup(A),k1_autgroup(A)))) # label(t14_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12571 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> m2_fraenkel(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)))))) # label(t17_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12572 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> (all C (m1_subset_1(C,u1_struct_0(k3_autgroup(A))) -> (C = B -> k2_funct_1(B) = k3_group_1(k3_autgroup(A),C)))))))) # label(t11_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12573 (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(k3_autgroup(A))) -> (all C (m1_subset_1(C,u1_struct_0(k3_autgroup(A))) -> (all D (m2_fraenkel(D,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> (all E (m2_fraenkel(E,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> (E = C & D = B -> k1_group_1(k3_autgroup(A),B,C) = k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E,D)))))))))))) # label(t9_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12574 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) -> v1_group_3(k5_autgroup(A),k3_autgroup(A)) & m1_group_2(k5_autgroup(A),k3_autgroup(A)) & v1_group_1(k5_autgroup(A)))) # label(dt_k5_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12575 (all A (v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> v1_funct_1(k2_autgroup(A)) & v1_funct_2(k2_autgroup(A),k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)) & m2_relset_1(k2_autgroup(A),k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)))) # label(dt_k2_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12576 (all A (v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (-v3_struct_0(A) & l1_group_1(A) & v7_group_1(A) & v4_group_1(A) & v3_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(k5_autgroup(A))) -> B = k2_group_1(k5_autgroup(A))))))) # label(t32_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12577 (all A (v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> (all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> m2_fraenkel(k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,B),u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)))))))) # label(t8_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12578 $T # label(t19_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12579 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(A) -> k2_group_1(k5_autgroup(A)) = k6_partfun1(u1_struct_0(A)))) # label(t21_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12580 (all A (-v3_struct_0(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) -> k3_autgroup(A) = g1_group_1(k1_autgroup(A),k2_autgroup(A)))) # label(d3_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12581 (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_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) -> ((all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))) -> (r2_hidden(C,B) <-> (exists D ((all E (m1_subset_1(E,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(A),C,E) = k2_group_3(A,E,D))) & m1_subset_1(D,u1_struct_0(A))))))) <-> B = k4_autgroup(A)))))) # label(d4_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12582 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> k6_autgroup(A,k2_group_1(A)) = k6_partfun1(u1_struct_0(A)))) # label(t24_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12583 (all A (v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> (all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,B) = k1_binop_1(k2_autgroup(A),B,C))))))) # label(t15_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12584 (all A (v1_group_1(A) & l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> k2_group_1(k3_autgroup(A)) = k6_partfun1(u1_struct_0(A)))) # label(t10_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12585 (all A (v1_group_1(A) & v3_group_1(A) & l1_group_1(A) & v4_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(k5_autgroup(A))) -> (all C (m1_subset_1(C,u1_struct_0(k5_autgroup(A))) -> (all D (m2_fraenkel(D,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> (all E (m2_fraenkel(E,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> (B = D & E = C -> k1_group_1(k5_autgroup(A),B,C) = k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),E,D)))))))))))) # label(t20_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12586 (all A all B (-v3_struct_0(A) & v1_group_1(A) & v4_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & l1_group_1(A) & v3_group_1(A) -> m2_fraenkel(k6_autgroup(A,B),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)))) # label(dt_k6_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12587 (all A (v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_group_2(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (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(t1_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12588 (all A (-v3_struct_0(A) & v4_group_1(A) & l1_group_1(A) & v3_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]. 188.87/188.21 12589 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> v1_funct_1(k2_funct_1(B)) & v1_group_6(k2_funct_1(B),A,A) & m2_relset_1(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A)))))) # label(t6_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12590 (all A (l1_group_1(A) & v4_group_1(A) & v3_group_1(A) & v1_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k2_group_1(A)),k6_autgroup(A,B)) = k6_autgroup(A,B) & k6_autgroup(A,B) = k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,k2_group_1(A))))))) # label(t29_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12591 (all A (v1_group_1(A) & v4_group_1(A) & l1_group_1(A) & v3_group_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> B = k8_funct_2(u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k2_group_1(A)),B))))) # label(t25_autgroup) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12592 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (v2_relat_1(k2_pboole(u1_struct_0(A),k2_msualg_2(A,B),C)) -> v2_relat_1(k9_msualg_2(A,B,C))))))))) # label(t17_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12593 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> r2_pboole(u1_struct_0(A),k2_pboole(u1_struct_0(A),k2_msualg_2(A,B),C),k9_msualg_2(A,B,C)))))))) # label(t16_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12594 $T # label(d1_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12595 (all A all B all C (-v3_struct_0(A) & -v2_msualg_1(A) & m1_subset_1(C,u1_struct_0(A)) & l3_msualg_1(B,A) & v5_msualg_1(B,A) & l1_msualg_1(A) & v2_msualg_2(A) -> -v1_xboole_0(k1_msualg_2(A,B,C)))) # label(fc4_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12596 (all A all B all C (-v3_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) & v2_relat_1(C) & v5_msualg_1(B,A) & -v2_msualg_1(A) -> v4_msualg_1(k12_msualg_2(A,B,C),A) & v5_msualg_1(k12_msualg_2(A,B,C),A))) # label(fc10_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12597 (all A all B all C (-v3_struct_0(A) & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) & l3_msualg_1(B,A) & l1_msualg_1(A) & -v2_msualg_1(A) -> v4_msualg_1(k12_msualg_2(A,B,C),A) & m1_msualg_2(k12_msualg_2(A,B,C),A,B))) # label(dt_k12_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12598 (all A all B all C (v2_relat_1(C) & m1_pboole(C,A) & m1_pboole(B,A) -> v2_relat_1(k2_pboole(A,B,C)) & v1_funct_1(k2_pboole(A,B,C)) & v1_relat_1(k2_pboole(A,B,C)))) # label(fc1_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.21 12599 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (v4_msualg_1(C,A) & m1_msualg_2(C,A,B) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),D,u4_msualg_1(A,C)) -> C = k12_msualg_2(A,B,D)))))))))) # label(t23_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12600 (all A all B all C (-v3_struct_0(A) & l1_msualg_1(A) & m1_subset_1(C,u1_struct_0(A)) & l3_msualg_1(B,A) & -v2_msualg_1(A) -> m1_subset_1(k1_msualg_2(A,B,C),k1_zfmisc_1(k1_funct_1(u4_msualg_1(A,B),C))))) # label(dt_k1_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12601 (all A (-v3_struct_0(A) & l1_msualg_1(A) -> (v2_msualg_2(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_msualg_2(B,A)))))) # label(d3_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12602 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_subset_1(C,u1_msualg_1(A)) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (r1_msualg_2(A,B,C,D) -> k7_relat_1(k5_msualg_1(A,C,B),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),D)),C)) = k3_msualg_2(A,B,C,D)))))))))) # label(d8_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12603 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (r2_pboole(u1_struct_0(A),k2_msualg_2(A,B),D) & r2_pboole(u1_struct_0(A),C,D) & v3_msualg_2(D,A,B) <-> r2_hidden(D,k5_msualg_2(A,B,C))))))))))) # label(t14_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12604 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,C)) -> (all E (m4_pboole(E,u1_struct_0(A),u4_msualg_1(A,C)) -> (r2_hidden(E,k5_msualg_2(A,C,D)) -> r1_tarski(k2_relat_1(k7_relat_1(k5_msualg_1(A,B,C),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),k9_msualg_2(A,C,D))),B))),k1_funct_1(k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),E),B))))))))))))) # label(t19_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12605 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m2_finseq_2(D,A,k3_finseq_2(A)) -> k3_xboole_0(k4_card_3(k5_relat_1(D,B)),k4_card_3(k5_relat_1(D,C))) = k4_card_3(k5_relat_1(D,k3_pboole(A,B,C))))))))))) # label(t2_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12606 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> v1_binop_1(k16_msualg_2(A,B),k14_msualg_2(A,B)))))) # label(t32_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12607 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,C)) -> (all E (m4_pboole(E,u1_struct_0(A),u4_msualg_1(A,C)) -> (r2_hidden(E,k5_msualg_2(A,C,D)) -> r1_tarski(k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),k9_msualg_2(A,C,D))),B),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),E)),B))))))))))))) # label(t18_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12608 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) & v4_msualg_1(C,A) -> (all D (v4_msualg_1(D,A) & m1_msualg_2(D,A,B) -> C = k11_msualg_2(A,B,C,k13_msualg_2(A,B,C,D)))))))))) # label(t28_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12609 (all A all B all C (l1_msualg_1(A) & m1_subset_1(C,k6_msualg_2(A,B)) & l3_msualg_1(B,A) & -v2_msualg_1(A) & -v3_struct_0(A) -> m4_pboole(k7_msualg_2(A,B,C),u1_struct_0(A),u4_msualg_1(A,B)))) # label(dt_k7_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12610 (all A all B (l3_msualg_1(B,A) & l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (exists C m1_msualg_2(C,A,B)))) # label(existence_m1_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12611 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> m1_msualg_2(B,A,B))))) # label(t6_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12612 $T # label(dt_k14_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12613 (all A all B all C (-v3_struct_0(A) & -v2_msualg_1(A) & l3_msualg_1(B,A) & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) & l1_msualg_1(A) -> -v1_xboole_0(k5_msualg_2(A,B,C)))) # label(fc7_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12614 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_funct_1(u4_msualg_1(A,B),C))) -> (k1_xboole_0 != k1_funct_1(u4_msualg_1(A,B),C) -> (k1_msualg_2(A,B,C) = D <-> (exists E (-v1_xboole_0(E) & k1_funct_1(u4_msualg_1(A,B),C) = E & a_4_0_msualg_2(A,B,C,E) = D)))) & (k1_funct_1(u4_msualg_1(A,B),C) = k1_xboole_0 -> (D = k1_msualg_2(A,B,C) <-> k1_xboole_0 = D)))))))))) # label(d4_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12615 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> r2_hidden(u4_msualg_1(A,B),k5_msualg_2(A,B,C)))))))) # label(t40_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12616 $T # label(dt_k6_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12617 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> k12_msualg_2(A,B,k2_msualg_2(A,B)) = k5_lattices(k17_msualg_2(A,B)))))) # label(t35_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12618 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> v15_lattices(k17_msualg_2(A,B)))))) # label(t34_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12619 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> r1_tarski(k5_msualg_2(A,B,C),k6_msualg_2(A,B)))))))) # label(t41_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12620 (all A all B all C (-v2_msualg_1(A) & l1_msualg_1(A) & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) & l3_msualg_1(B,A) & -v3_struct_0(A) -> m4_pboole(k9_msualg_2(A,B,C),u1_struct_0(A),u4_msualg_1(A,B)))) # label(dt_k9_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12621 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),C,u4_msualg_1(A,B)) -> r6_pboole(u1_msualg_1(A),k4_msualg_2(A,B,C),u5_msualg_1(A,B))))))))) # label(t5_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12622 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),C,u4_msualg_1(A,B)) -> k6_lattices(k17_msualg_2(A,B)) = k12_msualg_2(A,B,C)))))))) # label(t36_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12623 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> m4_pboole(k2_msualg_2(A,B),u1_struct_0(A),u4_msualg_1(A,C)))))))) # label(t11_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12624 (all A all B all C (l1_msualg_1(A) & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) & l3_msualg_1(B,A) & -v2_msualg_1(A) & -v3_struct_0(A) -> v4_msualg_1(k10_msualg_2(A,B,C),A) & m1_msualg_2(k10_msualg_2(A,B,C),A,B))) # label(dt_k10_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12625 (all A all B (-v2_msualg_1(A) & v5_msualg_1(B,A) & l3_msualg_1(B,A) & l1_msualg_1(A) & -v3_struct_0(A) -> v1_funct_2(k15_msualg_2(A,B),k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & m2_relset_1(k15_msualg_2(A,B),k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & v1_funct_1(k15_msualg_2(A,B)))) # label(dt_k15_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12626 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (l3_msualg_1(C,A) -> (m1_msualg_2(B,A,C) & m1_msualg_2(C,A,B) & v4_msualg_1(C,A) & v4_msualg_1(B,A) -> C = B))))))) # label(t8_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12627 (all A (l1_msualg_1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v1_msualg_2(B,A) <-> (exists C (m1_subset_1(C,u1_msualg_1(A)) & B = k1_funct_1(u3_msualg_1(A),C) & k1_funct_1(u2_msualg_1(A),C) = k1_xboole_0))))))) # label(d2_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12628 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> (all D (m1_msualg_2(D,A,B) -> k13_msualg_2(A,B,C,D) = k13_msualg_2(A,B,D,C))))))))) # label(t27_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12629 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> v2_binop_1(k16_msualg_2(A,B),k14_msualg_2(A,B)))))) # label(t33_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12630 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (v3_msualg_2(C,A,B) <-> (all D (m1_subset_1(D,u1_msualg_1(A)) -> r1_msualg_2(A,B,D,C)))))))))) # label(d7_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12631 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (k9_msualg_2(A,B,C) = D <-> (all E (m1_subset_1(E,u1_struct_0(A)) -> k1_setfam_1(k8_msualg_2(A,B,C,E)) = k1_funct_1(D,E)))))))))))) # label(d15_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12632 $T # label(dt_k8_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12633 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> (all D (m1_msualg_2(D,A,B) -> (all E (v4_msualg_1(E,A) & m1_msualg_2(E,A,B) -> ((all F (m4_pboole(F,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),F,k2_pboole(u1_struct_0(A),u4_msualg_1(A,C),u4_msualg_1(A,D))) -> E = k12_msualg_2(A,B,F)))) <-> E = k13_msualg_2(A,B,C,D)))))))))))) # label(d19_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12634 (all A all B all C all D (-v3_struct_0(A) & m1_msualg_2(D,A,B) & m1_msualg_2(C,A,B) & l3_msualg_1(B,A) & l1_msualg_1(A) & -v2_msualg_1(A) -> m1_msualg_2(k11_msualg_2(A,B,C,D),A,B) & v4_msualg_1(k11_msualg_2(A,B,C,D),A))) # label(dt_k11_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12635 (all A all B (-v3_struct_0(A) & v5_msualg_1(B,A) & l3_msualg_1(B,A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (exists C (v4_msualg_1(C,A) & v5_msualg_1(C,A) & m1_msualg_2(C,A,B))))) # label(rc3_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12636 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & m2_relset_1(C,k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) -> (C = k16_msualg_2(A,B) <-> (all D (m1_subset_1(D,k14_msualg_2(A,B)) -> (all E (m1_subset_1(E,k14_msualg_2(A,B)) -> (all F (v4_msualg_1(F,A) & m1_msualg_2(F,A,B) -> (all G (v4_msualg_1(G,A) & m1_msualg_2(G,A,B) -> (D = F & E = G -> k2_binop_1(k14_msualg_2(A,B),k14_msualg_2(A,B),k14_msualg_2(A,B),C,D,E) = k11_msualg_2(A,B,F,G))))))))))))))))) # label(d22_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12637 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> (all D (m1_msualg_2(D,A,B) -> (r2_pboole(u1_struct_0(A),u4_msualg_1(A,C),u4_msualg_1(A,D)) -> m1_msualg_2(C,A,D)))))))))) # label(t9_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12638 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),D,u4_msualg_1(A,B)) -> k12_msualg_2(A,B,D) = k13_msualg_2(A,B,k12_msualg_2(A,B,D),C)))))))))) # label(t26_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12639 (all A all B all C (v2_relat_1(C) & m1_pboole(C,A) & m1_pboole(B,A) -> v1_relat_1(k2_pboole(A,C,B)) & v1_funct_1(k2_pboole(A,C,B)) & v2_relat_1(k2_pboole(A,C,B)))) # label(fc2_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12640 (all A all B all C all D all E (-v3_struct_0(B) & -v2_msualg_1(B) & l3_msualg_1(C,B) & -v1_xboole_0(E) & m1_subset_1(D,u1_struct_0(B)) & l1_msualg_1(B) -> (r2_hidden(A,a_4_0_msualg_2(B,C,D,E)) <-> (exists F (m1_subset_1(F,E) & F = A & (exists G (k1_funct_1(u2_msualg_1(B),G) = k1_xboole_0 & r2_hidden(F,k2_relat_1(k5_msualg_1(B,G,C))) & k1_funct_1(u3_msualg_1(B),G) = D & m1_subset_1(G,u1_msualg_1(B))))))))) # label(fraenkel_a_4_0_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12641 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (v4_msualg_1(B,A) & l3_msualg_1(B,A) & v5_msualg_1(B,A) -> B = k6_lattices(k17_msualg_2(A,B)))))) # label(t37_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12642 (all A all B (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) & l3_msualg_1(B,A) -> -v1_xboole_0(k6_msualg_2(A,B)))) # label(fc8_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12643 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (v1_funct_2(C,k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & m2_relset_1(C,k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,k14_msualg_2(A,B)) -> (all E (m1_subset_1(E,k14_msualg_2(A,B)) -> (all F (m1_msualg_2(F,A,B) & v4_msualg_1(F,A) -> (all G (v4_msualg_1(G,A) & m1_msualg_2(G,A,B) -> (D = F & G = E -> k13_msualg_2(A,B,F,G) = k2_binop_1(k14_msualg_2(A,B),k14_msualg_2(A,B),k14_msualg_2(A,B),C,D,E)))))))))) <-> C = k15_msualg_2(A,B)))))))) # label(d21_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12644 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & v2_msualg_2(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) & v5_msualg_1(C,A) -> (all D (v5_msualg_1(D,A) & m1_msualg_2(D,A,B) -> v2_relat_1(k3_pboole(u1_struct_0(A),u4_msualg_1(A,C),u4_msualg_1(A,D))))))))))) # label(t13_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12645 (all A all B all C all D (-v3_struct_0(A) & l1_msualg_1(A) & m1_subset_1(C,u1_msualg_1(A)) & m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) & l3_msualg_1(B,A) & -v2_msualg_1(A) -> v1_funct_1(k3_msualg_2(A,B,C,D)) & v1_funct_2(k3_msualg_2(A,B,C,D),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),D)),C),k1_funct_1(k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),D),C)) & m2_relset_1(k3_msualg_2(A,B,C,D),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),D)),C),k1_funct_1(k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),D),C)))) # label(dt_k3_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12646 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_subset_1(C,k6_msualg_2(A,B)) -> C = k7_msualg_2(A,B,C))))))) # label(d13_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12647 (all A (-v3_struct_0(A) & v2_msualg_2(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) & v5_msualg_1(C,A) -> m4_pboole(k2_msualg_2(A,B),u1_struct_0(A),u4_msualg_1(A,C)) & v2_relat_1(k2_msualg_2(A,B)))))))) # label(t12_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12648 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),C,u4_msualg_1(A,B)) -> v3_msualg_2(C,A,B) & (all D (m1_subset_1(D,u1_msualg_1(A)) -> k5_msualg_1(A,D,B) = k3_msualg_2(A,B,D,C)))))))))) # label(t4_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12649 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (l3_msualg_1(C,A) -> ((all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),D,u4_msualg_1(A,C)) -> r6_pboole(u1_msualg_1(A),u5_msualg_1(A,C),k4_msualg_2(A,B,D)) & v3_msualg_2(D,A,B)))) & m4_pboole(u4_msualg_1(A,C),u1_struct_0(A),u4_msualg_1(A,B)) <-> m1_msualg_2(C,A,B)))))))) # label(d10_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12650 $T # label(t1_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12651 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> v2_binop_1(k15_msualg_2(A,B),k14_msualg_2(A,B)))))) # label(t31_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12652 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_2(C,B,k3_finseq_2(A)) & m1_relset_1(D,B,A) & v1_funct_2(D,B,A) & v1_funct_1(D) & m1_relset_1(C,B,k3_finseq_2(A)) & v1_funct_1(C) -> -v3_struct_0(g1_msualg_1(A,B,C,D)) & v1_msualg_1(g1_msualg_1(A,B,C,D)))) # label(fc3_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12653 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (all D (D = k5_msualg_2(A,B,C) <-> (all E (r2_hidden(E,D) <-> r2_hidden(E,k1_funct_2(u1_struct_0(A),k1_zfmisc_1(k3_card_3(u4_msualg_1(A,B))))) & m4_pboole(E,u1_struct_0(A),u4_msualg_1(A,B)) & (all F (m4_pboole(F,u1_struct_0(A),u4_msualg_1(A,B)) -> (E = F -> v3_msualg_2(F,A,B) & r2_pboole(u1_struct_0(A),C,F) & r2_pboole(u1_struct_0(A),k2_msualg_2(A,B),F)))))))))))))) # label(d11_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12654 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C ((all D (r2_hidden(D,C) <-> m1_msualg_2(D,A,B) & v4_msualg_1(D,A))) <-> k14_msualg_2(A,B) = C)))))) # label(d20_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12655 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) & v4_msualg_1(C,A) -> (all D (v4_msualg_1(D,A) & m1_msualg_2(D,A,B) -> k13_msualg_2(A,B,k11_msualg_2(A,B,C,D),D) = D)))))))) # label(t29_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12656 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (all D (m3_pboole(D,u1_msualg_1(A),k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),C)),k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),C)) -> (k4_msualg_2(A,B,C) = D <-> (all E (m1_subset_1(E,u1_msualg_1(A)) -> k3_msualg_2(A,B,E,C) = k1_funct_1(D,E)))))))))))) # label(d9_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12657 (exists A (-v3_struct_0(A) & v1_msualg_1(A) & v2_msualg_2(A) & -v2_msualg_1(A) & l1_msualg_1(A))) # label(rc1_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12658 $T # label(dt_k5_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12659 (all A all B (-v3_struct_0(A) & l1_msualg_1(A) & l3_msualg_1(B,A) & -v2_msualg_1(A) -> -v1_xboole_0(k14_msualg_2(A,B)))) # label(fc11_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12660 (all A all B (l1_msualg_1(A) & l3_msualg_1(B,A) & v5_msualg_1(B,A) & -v2_msualg_1(A) & -v3_struct_0(A) -> v1_funct_1(k16_msualg_2(A,B)) & m2_relset_1(k16_msualg_2(A,B),k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)) & v1_funct_2(k16_msualg_2(A,B),k2_zfmisc_1(k14_msualg_2(A,B),k14_msualg_2(A,B)),k14_msualg_2(A,B)))) # label(dt_k16_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12661 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,C)) -> r1_tarski(k2_relat_1(k7_relat_1(k5_msualg_1(A,B,C),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),k9_msualg_2(A,C,D))),B))),k1_funct_1(k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),k9_msualg_2(A,C,D)),B)))))))))) # label(t20_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12662 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> v3_msualg_2(k9_msualg_2(A,B,C),A,B) & r2_pboole(u1_struct_0(A),C,k9_msualg_2(A,B,C)))))))) # label(t21_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12663 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (v4_msualg_1(C,A) & m1_msualg_2(C,A,B) -> (all D (v4_msualg_1(D,A) & m1_msualg_2(D,A,B) -> (r6_pboole(u1_struct_0(A),u4_msualg_1(A,C),u4_msualg_1(A,D)) -> C = D))))))))) # label(t10_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12664 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> (all D (m1_msualg_2(D,A,B) -> (all E (m1_msualg_2(E,A,B) & v4_msualg_1(E,A) -> (r6_pboole(u1_struct_0(A),u4_msualg_1(A,E),k3_pboole(u1_struct_0(A),u4_msualg_1(A,C),u4_msualg_1(A,D))) & (all F (m4_pboole(F,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),F,u4_msualg_1(A,E)) -> v3_msualg_2(F,A,B) & r6_pboole(u1_msualg_1(A),u5_msualg_1(A,E),k4_msualg_2(A,B,F))))) <-> E = k11_msualg_2(A,B,C,D)))))))))))) # label(d17_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12665 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (all D (m1_msualg_2(D,A,B) & v4_msualg_1(D,A) -> (k12_msualg_2(A,B,C) = D <-> m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,D)) & (all E (m1_msualg_2(E,A,B) -> (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,E)) -> m1_msualg_2(D,A,E))))))))))))) # label(d18_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12666 (all A all B (-v3_struct_0(A) & l1_msualg_1(A) & v5_msualg_1(B,A) & l3_msualg_1(B,A) & v2_msualg_2(A) & -v2_msualg_1(A) -> v1_funct_1(k2_msualg_2(A,B)) & -v3_relat_1(k2_msualg_2(A,B)) & v2_relat_1(k2_msualg_2(A,B)) & v1_relat_1(k2_msualg_2(A,B)))) # label(fc5_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12667 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (v5_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> k12_msualg_2(A,B,k2_msualg_2(A,B)) = k11_msualg_2(A,B,k12_msualg_2(A,B,k2_msualg_2(A,B)),C))))))) # label(t24_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12668 (all A all B all C (-v3_struct_0(A) & l3_msualg_1(B,A) & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) & l1_msualg_1(A) & -v2_msualg_1(A) -> m3_pboole(k4_msualg_2(A,B,C),u1_msualg_1(A),k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),C)),k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),C)))) # label(dt_k4_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12669 (all A all B (l1_msualg_1(A) & l3_msualg_1(B,A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all C (m1_msualg_2(C,A,B) -> l3_msualg_1(C,A))))) # label(dt_m1_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12670 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> v1_binop_1(k15_msualg_2(A,B),k14_msualg_2(A,B)))))) # label(t30_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12671 (all A all B (l1_msualg_1(A) & v5_msualg_1(B,A) & l3_msualg_1(B,A) & -v2_msualg_1(A) & -v3_struct_0(A) -> v6_lattices(k17_msualg_2(A,B)) & v7_lattices(k17_msualg_2(A,B)) & v9_lattices(k17_msualg_2(A,B)) & v10_lattices(k17_msualg_2(A,B)) & v13_lattices(k17_msualg_2(A,B)) & v14_lattices(k17_msualg_2(A,B)) & v15_lattices(k17_msualg_2(A,B)) & v8_lattices(k17_msualg_2(A,B)) & v5_lattices(k17_msualg_2(A,B)) & v4_lattices(k17_msualg_2(A,B)) & v3_lattices(k17_msualg_2(A,B)) & -v3_struct_0(k17_msualg_2(A,B)))) # label(fc12_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12672 (all A all B all C all D (l1_msualg_1(A) & m1_subset_1(D,u1_struct_0(A)) & m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) & l3_msualg_1(B,A) & -v2_msualg_1(A) & -v3_struct_0(A) -> -v1_xboole_0(k8_msualg_2(A,B,C,D)))) # label(fc9_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12673 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> m1_msualg_2(g3_msualg_1(A,u4_msualg_1(A,B),u5_msualg_1(A,B)),A,B))))) # label(t38_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12674 (all A all B (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) & l3_msualg_1(B,A) -> (exists C (v4_msualg_1(C,A) & m1_msualg_2(C,A,B))))) # label(rc2_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12675 (all A all B all C all D (-v2_msualg_1(A) & m1_msualg_2(C,A,B) & m1_msualg_2(D,A,B) & l3_msualg_1(B,A) & v5_msualg_1(B,A) & l1_msualg_1(A) & -v3_struct_0(A) -> m1_msualg_2(k13_msualg_2(A,B,C,D),A,B) & v4_msualg_1(k13_msualg_2(A,B,C,D),A))) # label(dt_k13_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12676 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (C = k6_msualg_2(A,B) <-> (all D (r2_hidden(D,C) <-> r2_hidden(D,k1_funct_2(u1_struct_0(A),k1_zfmisc_1(k3_card_3(u4_msualg_1(A,B))))) & (all E (m4_pboole(E,u1_struct_0(A),u4_msualg_1(A,B)) -> (D = E -> v3_msualg_2(E,A,B)))) & m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)))))))))) # label(d12_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12677 (all A all B (-v2_msualg_1(A) & l3_msualg_1(B,A) & v5_msualg_1(B,A) & l1_msualg_1(A) & -v3_struct_0(A) -> v5_msualg_1(g3_msualg_1(A,u4_msualg_1(A,B),u5_msualg_1(A,B)),A) & v4_msualg_1(g3_msualg_1(A,u4_msualg_1(A,B),u5_msualg_1(A,B)),A))) # label(fc6_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12678 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> g3_lattices(k14_msualg_2(A,B),k15_msualg_2(A,B),k16_msualg_2(A,B)) = k17_msualg_2(A,B))))) # label(d23_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12679 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (r2_hidden(C,k6_msualg_2(A,B)) <-> v3_msualg_2(C,A,B)))))))) # label(t15_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12680 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (k2_msualg_2(A,B) = C <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_funct_1(C,D) = k1_msualg_2(A,B,D)))))))))) # label(d5_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12681 (all A all B (l1_msualg_1(A) & l3_msualg_1(B,A) & v5_msualg_1(B,A) & -v2_msualg_1(A) & -v3_struct_0(A) -> l3_lattices(k17_msualg_2(A,B)) & v10_lattices(k17_msualg_2(A,B)) & v3_lattices(k17_msualg_2(A,B)) & -v3_struct_0(k17_msualg_2(A,B)))) # label(dt_k17_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12682 (all A all B (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) & l3_msualg_1(B,A) -> m4_pboole(k2_msualg_2(A,B),u1_struct_0(A),u4_msualg_1(A,B)))) # label(dt_k2_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12683 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_subset_1(C,u1_msualg_1(A)) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (r1_tarski(k2_relat_1(k7_relat_1(k5_msualg_1(A,C,B),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),D)),C))),k1_funct_1(k7_pboole(u1_msualg_1(A),u1_struct_0(A),u3_msualg_1(A),D),C)) <-> r1_msualg_2(A,B,C,D)))))))))) # label(d6_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12684 $T # label(t39_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12685 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (m1_subset_1(B,u1_msualg_1(A)) -> (all C (l3_msualg_1(C,A) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,C)) -> (all E (m4_pboole(E,u1_struct_0(A),u4_msualg_1(A,C)) -> (r2_pboole(u1_struct_0(A),D,E) -> r1_tarski(k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),D)),B),k1_funct_1(k7_pboole(u1_msualg_1(A),k3_finseq_2(u1_struct_0(A)),u2_msualg_1(A),k6_pboole(u1_struct_0(A),E)),B))))))))))))) # label(t3_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12686 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (v4_msualg_1(B,A) & l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),C,u4_msualg_1(A,B)) -> B = k12_msualg_2(A,B,C)))))))) # label(t22_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12687 (all A (-v3_struct_0(A) & -v2_msualg_1(A) & l1_msualg_1(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> (all C (m1_msualg_2(C,A,B) -> (all D (m4_pboole(D,u1_struct_0(A),u4_msualg_1(A,B)) -> (all E (m4_pboole(E,u1_struct_0(A),u4_msualg_1(A,B)) -> (r6_pboole(u1_struct_0(A),E,k2_pboole(u1_struct_0(A),D,u4_msualg_1(A,C))) -> k12_msualg_2(A,B,E) = k13_msualg_2(A,B,k12_msualg_2(A,B,D),C)))))))))))) # label(t25_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12688 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (l3_msualg_1(C,A) -> (all D (l3_msualg_1(D,A) -> (m1_msualg_2(C,A,D) & m1_msualg_2(B,A,C) -> m1_msualg_2(B,A,D)))))))))) # label(t7_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12689 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (k8_msualg_2(A,B,C,D) = E <-> (all F ((exists G (m4_pboole(G,u1_struct_0(A),u4_msualg_1(A,B)) & r2_hidden(G,k5_msualg_2(A,B,C)) & F = k1_funct_1(G,D))) <-> r2_hidden(F,E))))))))))))) # label(d14_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12690 (all A (-v3_struct_0(A) & l1_msualg_1(A) & -v2_msualg_1(A) -> (all B (l3_msualg_1(B,A) -> (all C (m4_pboole(C,u1_struct_0(A),u4_msualg_1(A,B)) -> (v3_msualg_2(C,A,B) -> k10_msualg_2(A,B,C) = g3_msualg_1(A,C,k4_msualg_2(A,B,C))))))))) # label(d16_msualg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12691 (all A all B all C (v5_msualg_1(B,A) & l3_msualg_1(B,A) & l3_msualg_1(C,A) & v5_msualg_1(C,A) & l1_msualg_1(A) & -v3_struct_0(A) -> v4_msualg_1(k9_pralg_2(A,B,C),A))) # label(fc5_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12692 $T # label(dt_k1_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.22 12693 (all A (-v1_xboole_0(A) -> (all B all C (m1_pboole(C,A) & v2_relat_1(C) -> (all D (m1_pboole(D,A) & v2_relat_1(D) -> (all E (v1_funct_1(E) & m2_relset_1(E,B,k3_finseq_2(A)) & v1_funct_2(E,B,k3_finseq_2(A)) -> (all F (v1_funct_2(F,B,A) & m2_relset_1(F,B,A) & v1_funct_1(F) -> (all G (m3_pboole(G,B,k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),k8_pboole(B,A,F,C)) -> (all H (m3_pboole(H,B,k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),k8_pboole(B,A,F,D)) -> (all I (m3_pboole(I,B,k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,k11_pboole(A,C,D))),k8_pboole(B,A,F,k11_pboole(A,C,D))) -> (k5_pralg_2(A,B,C,D,E,F,G,H) = I <-> (all J (r2_hidden(J,B) -> (all K (v1_funct_1(K) & m2_relset_1(K,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),J),k1_funct_1(k8_pboole(B,A,F,C),J)) & v1_funct_2(K,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),J),k1_funct_1(k8_pboole(B,A,F,C),J)) -> (all L (v1_funct_1(L) & v1_funct_2(L,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),J),k1_funct_1(k8_pboole(B,A,F,D),J)) & m2_relset_1(L,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),J),k1_funct_1(k8_pboole(B,A,F,D),J)) -> (k1_funct_1(H,J) = L & K = k1_funct_1(G,J) -> k1_funct_1(I,J) = k4_pralg_2(A,B,C,D,E,F,J,K,L))))))))))))))))))))))))) # label(d11_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12694 $T # label(t5_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12695 $T # label(d3_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12696 (all A all B all C all D (-v1_xboole_0(A) & m1_subset_1(D,A) & m2_pralg_2(C,A,B) & l1_msualg_1(B) & -v3_struct_0(B) -> k1_funct_1(C,D) = k6_pralg_2(A,B,C,D))) # label(redefinition_k6_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12697 $T # label(d9_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12698 (all A (-v1_xboole_0(A) -> (all B (-v2_msualg_1(B) & l1_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_subset_1(D,u1_msualg_1(B)) -> k1_relat_1(k2_funct_6(k13_pralg_2(A,B,C,D))) = A & (all E (m1_subset_1(E,A) -> k3_msualg_1(B,D,k6_pralg_2(A,B,C,E)) = k1_funct_1(k2_funct_6(k13_pralg_2(A,B,C,D)),E))))))))))) # label(t18_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12699 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,A) -> (all C (-v2_msualg_1(C) & l1_msualg_1(C) & -v3_struct_0(C) -> (all D (m2_pralg_2(D,A,C) -> (all E (m1_subset_1(E,u1_msualg_1(C)) -> k1_funct_1(k13_pralg_2(A,C,D,E),B) = k5_msualg_1(C,E,k6_pralg_2(A,C,D,B)))))))))))) # label(t14_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12700 $T # label(t7_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12701 (all A all B (l1_msualg_1(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m2_pralg_2(D,A,B) -> (all E (m1_pboole(E,A) -> (A != k1_xboole_0 -> (E = k10_pralg_2(A,B,C,D) <-> (all F -(r2_hidden(F,A) & (all G (l3_msualg_1(G,B) -> -(k1_funct_1(D,F) = G & k1_funct_1(u4_msualg_1(B,G),C) = k1_funct_1(E,F)))))))) & (A = k1_xboole_0 -> (k10_pralg_2(A,B,C,D) = E <-> E = k1_xboole_0)))))))))) # label(d16_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12702 $T # label(t6_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12703 (all A all B (-v3_struct_0(A) & v5_msualg_1(B,A) & l3_msualg_1(B,A) & l1_msualg_1(A) -> -v1_xboole_0(k7_pralg_2(A,B)))) # label(fc3_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12704 (all A (-v1_xboole_0(A) & v1_fraenkel(A) & v1_pralg_2(A) -> (all B (m1_subset_1(B,A) <-> m1_pralg_2(B,A))))) # label(redefinition_m1_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12705 (all A (v1_funct_1(A) & v1_relat_1(A) -> v1_relat_1(k2_pralg_2(A)) & v1_funct_1(k2_pralg_2(A)))) # label(dt_k2_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12706 (all A all B (l1_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_pboole(D,u1_struct_0(B)) -> ((all E (m1_subset_1(E,u1_struct_0(B)) -> k1_funct_1(D,E) = k4_card_3(k10_pralg_2(A,B,E,C)))) <-> D = k11_pralg_2(A,B,C)))))))) # label(d17_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12707 (all A all B (-v2_msualg_1(B) & l1_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> r6_pboole(u1_struct_0(B),u4_msualg_1(B,k15_pralg_2(A,B,C)),k11_pralg_2(A,B,C)) & r6_pboole(u1_msualg_1(B),u5_msualg_1(B,k15_pralg_2(A,B,C)),k14_pralg_2(A,B,C)))))) # label(t20_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12708 (all A (l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> k3_tarski(k2_relat_1(u4_msualg_1(A,B))) = k7_pralg_2(A,B))))) # label(d13_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12709 (all A all B all C (-v3_struct_0(B) & -v2_msualg_1(B) & m2_pralg_2(C,A,B) & l1_msualg_1(B) -> m3_pboole(k14_pralg_2(A,B,C),u1_msualg_1(B),k8_pboole(u1_msualg_1(B),k3_finseq_2(u1_struct_0(B)),u2_msualg_1(B),k6_pboole(u1_struct_0(B),k11_pralg_2(A,B,C))),k8_pboole(u1_msualg_1(B),u1_struct_0(B),u3_msualg_1(B),k11_pralg_2(A,B,C))))) # label(dt_k14_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12710 (all A all B all C all D (-v3_struct_0(B) & -v2_msualg_1(B) & l1_msualg_1(B) & m1_subset_1(D,u1_msualg_1(B)) & m2_pralg_2(C,A,B) -> v1_funcop_1(k13_pralg_2(A,B,C,D)) & m1_pboole(k13_pralg_2(A,B,C,D),A))) # label(dt_k13_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12711 (all A all B all C all D all E all F all G all H all I (m1_pboole(C,A) & v1_funct_2(F,B,A) & v1_funct_2(H,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),G),k1_funct_1(k8_pboole(B,A,F,C),G)) & v1_funct_1(I) & v1_funct_2(I,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),G),k1_funct_1(k8_pboole(B,A,F,D),G)) & m1_relset_1(I,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),G),k1_funct_1(k8_pboole(B,A,F,D),G)) & m1_relset_1(H,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),G),k1_funct_1(k8_pboole(B,A,F,C),G)) & v1_funct_1(H) & m1_relset_1(F,B,A) & v1_funct_1(F) & m1_relset_1(E,B,k3_finseq_2(A)) & v1_funct_2(E,B,k3_finseq_2(A)) & v1_funct_1(E) & m1_pboole(D,A) & v2_relat_1(D) & v2_relat_1(C) & -v1_xboole_0(A) -> v1_funct_1(k4_pralg_2(A,B,C,D,E,F,G,H,I)) & v1_funct_2(k4_pralg_2(A,B,C,D,E,F,G,H,I),k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,k11_pboole(A,C,D))),G),k1_funct_1(k8_pboole(B,A,F,k11_pboole(A,C,D)),G)) & m2_relset_1(k4_pralg_2(A,B,C,D,E,F,G,H,I),k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,k11_pboole(A,C,D))),G),k1_funct_1(k8_pboole(B,A,F,k11_pboole(A,C,D)),G)))) # label(dt_k4_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12712 (all A all B all C all D (-v3_struct_0(B) & m1_subset_1(D,A) & m2_pralg_2(C,A,B) & l1_msualg_1(B) & -v1_xboole_0(A) -> v5_msualg_1(k6_pralg_2(A,B,C,D),B) & l3_msualg_1(k6_pralg_2(A,B,C,D),B))) # label(dt_k6_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12713 (all A ((all B (v1_funct_1(B) & v1_relat_1(B) -> (all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,A) & r2_hidden(C,A) -> k1_relat_1(C) = k1_relat_1(B)))))) <-> v1_pralg_2(A))) # label(d1_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12714 $T # label(dt_k8_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12715 (all A all B (l1_msualg_1(B) & -v3_struct_0(B) -> (exists C m2_pralg_2(C,A,B)))) # label(existence_m2_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12716 (all A all B all C (-v3_struct_0(A) & v5_msualg_1(B,A) & v5_msualg_1(C,A) & l3_msualg_1(C,A) & l3_msualg_1(B,A) & l1_msualg_1(A) -> l3_msualg_1(k9_pralg_2(A,B,C),A))) # label(dt_k9_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12717 (all A all B all C (l1_msualg_1(B) & m2_pralg_2(C,A,B) & -v3_struct_0(B) & -v1_xboole_0(A) -> -v1_xboole_0(k8_pralg_2(A,B,C)))) # label(fc4_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12718 $T # label(dt_k7_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12719 (all A all B all C all D (-v1_xboole_0(B) & -v3_struct_0(C) & l1_msualg_1(C) & m2_pralg_2(D,B,C) -> (r2_hidden(A,a_3_0_pralg_2(B,C,D)) <-> (exists E (m1_subset_1(E,B) & k7_pralg_2(C,k6_pralg_2(B,C,D,E)) = A))))) # label(fraenkel_a_3_0_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12720 (all A all B all C (l1_msualg_1(B) & m2_pralg_2(C,A,B) & -v3_struct_0(B) -> m1_pboole(k11_pralg_2(A,B,C),u1_struct_0(B)))) # label(dt_k11_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12721 (all A (-v1_xboole_0(A) -> (all B (-v3_struct_0(B) & -v2_msualg_1(B) & l1_msualg_1(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_subset_1(D,u1_msualg_1(B)) -> (all E (r2_hidden(E,k2_relat_1(k3_pralg_2(k13_pralg_2(A,B,C,D)))) -> v1_funct_1(E) & v1_relat_1(E))))))))))) # label(t15_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12722 $T # label(d4_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12723 (all A (v1_funct_1(A) & v1_relat_1(A) -> (k1_relat_1(A) = k1_tarski(k1_xboole_0) -> A = k2_pralg_2(A)))) # label(t8_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12724 $T # label(t19_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12725 (all A (-v1_xboole_0(A) & v1_pralg_2(A) & v1_fraenkel(A) -> (all B (m1_pralg_2(B,A) -> m1_pboole(B,k1_pralg_2(A)))))) # label(dt_m1_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12726 (all A all B (-v3_struct_0(B) & -v2_msualg_1(B) & l1_msualg_1(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m3_pboole(D,u1_msualg_1(B),k8_pboole(u1_msualg_1(B),k3_finseq_2(u1_struct_0(B)),u2_msualg_1(B),k6_pboole(u1_struct_0(B),k11_pralg_2(A,B,C))),k8_pboole(u1_msualg_1(B),u1_struct_0(B),u3_msualg_1(B),k11_pralg_2(A,B,C))) -> (A = k1_xboole_0 -> k14_pralg_2(A,B,C) = D) & (A != k1_xboole_0 -> ((all E (m1_subset_1(E,u1_msualg_1(B)) -> k1_cqc_lang(k1_msualg_1(B,E),k1_xboole_0,k10_funct_6(k13_pralg_2(A,B,C,E)),k2_pralg_2(k3_pralg_2(k13_pralg_2(A,B,C,E)))) = k1_funct_1(D,E))) <-> D = k14_pralg_2(A,B,C))))))))) # label(d20_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12727 $T # label(d5_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12728 (all A all B all C (-v3_struct_0(B) & m2_pralg_2(C,A,B) & l1_msualg_1(B) -> v1_relat_1(k11_pralg_2(A,B,C)) & v2_relat_1(k11_pralg_2(A,B,C)) & -v3_relat_1(k11_pralg_2(A,B,C)) & v1_funct_1(k11_pralg_2(A,B,C)))) # label(fc7_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12729 (all A all B all C (-v3_struct_0(B) & m2_pralg_2(C,A,B) & l1_msualg_1(B) & -v2_msualg_1(B) -> l3_msualg_1(k15_pralg_2(A,B,C),B))) # label(dt_k15_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12730 (all A all B all C (-v3_struct_0(B) & l1_msualg_1(B) & m2_pralg_2(C,A,B) & -v2_msualg_1(B) -> v4_msualg_1(k15_pralg_2(A,B,C),B))) # label(fc8_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12731 $T # label(t3_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12732 (all A (l1_msualg_1(A) & -v2_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_subset_1(C,u1_msualg_1(A)) -> (k1_msualg_1(A,C) = k1_xboole_0 -> k1_tarski(k1_xboole_0) = k3_msualg_1(A,C,B)))))))) # label(t11_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12733 (all A all B (m1_pboole(B,A) & v2_relat_1(B) -> v1_fraenkel(k4_card_3(B)) & v1_pralg_2(k4_card_3(B)) & -v1_xboole_0(k4_card_3(B)))) # label(fc1_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12734 (all A (-v1_xboole_0(A) -> (all B all C (m1_pboole(C,A) & v2_relat_1(C) -> (all D (v2_relat_1(D) & m1_pboole(D,A) -> (all E (v1_funct_1(E) & m2_relset_1(E,B,k3_finseq_2(A)) & v1_funct_2(E,B,k3_finseq_2(A)) -> (all F (v1_funct_1(F) & v1_funct_2(F,B,A) & m2_relset_1(F,B,A) -> (all G all H (v1_funct_1(H) & v1_funct_2(H,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),G),k1_funct_1(k8_pboole(B,A,F,C),G)) & m2_relset_1(H,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),G),k1_funct_1(k8_pboole(B,A,F,C),G)) -> (all I (v1_funct_1(I) & v1_funct_2(I,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),G),k1_funct_1(k8_pboole(B,A,F,D),G)) & m2_relset_1(I,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),G),k1_funct_1(k8_pboole(B,A,F,D),G)) -> (r2_hidden(G,B) -> (all J (v1_funct_1(J) & v1_funct_2(J,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,k11_pboole(A,C,D))),G),k1_funct_1(k8_pboole(B,A,F,k11_pboole(A,C,D)),G)) & m2_relset_1(J,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,k11_pboole(A,C,D))),G),k1_funct_1(k8_pboole(B,A,F,k11_pboole(A,C,D)),G)) -> (k4_pralg_2(A,B,C,D,E,F,G,H,I) = J <-> (all K (v1_relat_1(K) & v1_funct_1(K) -> (r2_hidden(K,k1_funct_1(k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,k11_pboole(A,C,D))),G)) -> k1_funct_1(J,K) = k4_tarski(k1_funct_1(H,k15_mcart_1(K)),k1_funct_1(I,k16_mcart_1(K)))))))))))))))))))))))) # label(d10_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12735 (all A (-v1_xboole_0(A) -> (all B (l1_msualg_1(B) & -v2_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_subset_1(D,u1_msualg_1(B)) -> (all E (v1_funct_1(E) & v1_relat_1(E) -> (r2_hidden(E,k2_relat_1(k3_pralg_2(k13_pralg_2(A,B,C,D)))) -> (all F (m1_subset_1(F,A) -> r2_hidden(k1_funct_1(E,F),k4_msualg_1(B,D,k6_pralg_2(A,B,C,F))))) & A = k1_relat_1(E)))))))))))) # label(t16_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12736 (all A all B (l1_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> m1_pboole(C,A))))) # label(dt_m2_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12737 (all A all B (l1_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_pboole(D,A) & v1_funcop_1(D) -> (A != k1_xboole_0 -> ((all E -(r2_hidden(E,A) & (all F (l3_msualg_1(F,B) -> -(F = k1_funct_1(C,E) & u5_msualg_1(B,F) = k1_funct_1(D,E)))))) <-> k12_pralg_2(A,B,C) = D)) & (A = k1_xboole_0 -> (D = k12_pralg_2(A,B,C) <-> k1_xboole_0 = D)))))))) # label(d18_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12738 (all A all B (l1_msualg_1(B) & -v3_struct_0(B) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> v5_msualg_1(k1_funct_1(C,D),B) & l3_msualg_1(k1_funct_1(C,D),B))) <-> m2_pralg_2(C,A,B)))))) # label(d12_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12739 (all A all B (l1_msualg_1(B) & -v2_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_subset_1(D,u1_msualg_1(B)) -> k13_pralg_2(A,B,C,D) = k1_funct_1(k10_funct_6(k12_pralg_2(A,B,C)),D))))))) # label(d19_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12740 (exists A (v1_fraenkel(A) & v1_pralg_2(A) & -v1_xboole_0(A))) # label(rc1_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12741 (all A (-v1_xboole_0(A) -> (all B (-v3_struct_0(B) & l1_msualg_1(B) -> (all C (m2_pralg_2(C,A,B) -> k8_pralg_2(A,B,C) = k3_tarski(a_3_0_pralg_2(A,B,C)))))))) # label(d14_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12742 (all A (-v1_xboole_0(A) -> (all B (-v3_struct_0(B) & l1_msualg_1(B) & -v2_msualg_1(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_subset_1(D,u1_msualg_1(B)) -> r2_hidden(k10_funct_6(k12_pralg_2(A,B,C)),k1_funct_2(u1_msualg_1(B),k1_funct_2(A,k2_relat_1(k4_funct_5(k12_pralg_2(A,B,C)))))))))))))) # label(t13_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12743 (all A all B all C all D (m2_pralg_2(D,A,B) & m1_subset_1(C,u1_struct_0(B)) & l1_msualg_1(B) & -v3_struct_0(B) -> m1_pboole(k10_pralg_2(A,B,C,D),A))) # label(dt_k10_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12744 (all A all B all C all D (-v3_struct_0(B) & m1_subset_1(C,u1_struct_0(B)) & m2_pralg_2(D,A,B) & l1_msualg_1(B) -> v1_relat_1(k10_pralg_2(A,B,C,D)) & v2_relat_1(k10_pralg_2(A,B,C,D)) & v1_funct_1(k10_pralg_2(A,B,C,D)))) # label(fc6_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12745 (all A (l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) & v5_msualg_1(B,A) -> (all C (l3_msualg_1(C,A) & v5_msualg_1(C,A) -> g3_msualg_1(A,k11_pboole(u1_struct_0(A),u4_msualg_1(A,B),u4_msualg_1(A,C)),k5_pralg_2(u1_struct_0(A),u1_msualg_1(A),u4_msualg_1(A,B),u4_msualg_1(A,C),u2_msualg_1(A),u3_msualg_1(A),u5_msualg_1(A,B),u5_msualg_1(A,C))) = k9_pralg_2(A,B,C))))))) # label(d15_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12746 $T # label(t4_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12747 (all A all B all C (l1_msualg_1(B) & m2_pralg_2(C,A,B) & -v3_struct_0(B) -> v1_funcop_1(k12_pralg_2(A,B,C)) & m1_pboole(k12_pralg_2(A,B,C),A))) # label(dt_k12_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12748 (all A all B (-v3_struct_0(B) & l1_msualg_1(B) -> (all C (m2_pralg_2(C,A,B) -> k2_zfmisc_1(A,u1_msualg_1(B)) = k1_relat_1(k4_funct_5(k12_pralg_2(A,B,C))))))) # label(t12_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12749 (all A all B all C (v2_relat_1(C) & m1_pboole(C,A) & m1_pboole(B,A) & v2_relat_1(B) -> v1_funct_1(k11_pboole(A,B,C)) & v2_relat_1(k11_pboole(A,B,C)) & v1_relat_1(k11_pboole(A,B,C)))) # label(fc2_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12750 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_funcop_1(A) -> k7_funct_6(A) = k3_pralg_2(A))) # label(redefinition_k3_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12751 (all A (v1_funct_1(A) & v1_funcop_1(A) & v1_relat_1(A) -> v1_funcop_1(k3_pralg_2(A)) & m1_pboole(k3_pralg_2(A),k4_card_3(k2_funct_6(A))))) # label(dt_k3_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12752 (all A (v1_relat_1(A) & v1_funcop_1(A) & v1_funct_1(A) -> (all B (v1_funcop_1(B) & m1_pboole(B,k4_card_3(k2_funct_6(A))) -> ((all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(C,k4_card_3(k2_funct_6(A))) -> k15_pralg_1(A,C) = k1_funct_1(B,C)))) <-> B = k3_pralg_2(A)))))) # label(d8_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12753 (all A (v1_pralg_2(A) & v1_fraenkel(A) & -v1_xboole_0(A) -> (exists B m1_pralg_2(B,A)))) # label(existence_m1_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12754 (all A all B all C all D all E all F all G all H (-v1_xboole_0(A) & m1_pboole(C,A) & v2_relat_1(D) & m1_pboole(D,A) & v1_funct_2(E,B,k3_finseq_2(A)) & v1_funct_1(F) & m1_relset_1(F,B,A) & m3_pboole(G,B,k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,C)),k8_pboole(B,A,F,C)) & m3_pboole(H,B,k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,D)),k8_pboole(B,A,F,D)) & v1_funct_2(F,B,A) & m1_relset_1(E,B,k3_finseq_2(A)) & v1_funct_1(E) & v2_relat_1(C) -> m3_pboole(k5_pralg_2(A,B,C,D,E,F,G,H),B,k8_pboole(B,k3_finseq_2(A),E,k6_pboole(A,k11_pboole(A,C,D))),k8_pboole(B,A,F,k11_pboole(A,C,D))))) # label(dt_k5_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12755 (all A (v1_funct_1(A) & v1_relat_1(A) -> (all B (v1_funct_1(B) & v1_relat_1(B) -> (k2_pralg_2(A) = B <-> (all C (r2_hidden(C,k1_relat_1(B)) <-> (exists D (v1_relat_1(D) & r2_hidden(D,k1_relat_1(A)) & C = k10_funct_6(D) & v1_funct_1(D))))) & (all C (v1_funct_1(C) & v1_relat_1(C) -> (r2_hidden(C,k1_relat_1(B)) -> k1_funct_1(A,k10_funct_6(C)) = k1_funct_1(B,C))))))))) # label(d6_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12756 $T # label(d7_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12757 (all A all B (l1_msualg_1(B) & -v2_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> k15_pralg_2(A,B,C) = g3_msualg_1(B,k11_pralg_2(A,B,C),k14_pralg_2(A,B,C)))))) # label(d21_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12758 (all A (v1_pralg_2(A) & v1_fraenkel(A) -> (all B ((A = k1_xboole_0 -> (k1_xboole_0 = B <-> B = k1_pralg_2(A))) & (k1_xboole_0 != A -> ((all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(C,A) -> B = k1_relat_1(C)))) <-> k1_pralg_2(A) = B)))))) # label(d2_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12759 (all A (-v1_xboole_0(A) -> (all B (-v2_msualg_1(B) & l1_msualg_1(B) & -v3_struct_0(B) -> (all C (m2_pralg_2(C,A,B) -> (all D (m1_subset_1(D,u1_msualg_1(B)) -> (all E (v1_relat_1(E) & v1_funct_1(E) -> (r2_hidden(E,k1_relat_1(k3_pralg_2(k13_pralg_2(A,B,C,D)))) -> A = k1_relat_1(E) & r1_tarski(k2_relat_1(E),k1_fraenkel(k1_relat_1(k1_msualg_1(B,D)),k8_pralg_2(A,B,C))) & (all F (m1_subset_1(F,A) -> r2_hidden(k1_funct_1(E,F),k3_msualg_1(B,D,k6_pralg_2(A,B,C,F)))))))))))))))) # label(t17_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12760 (all A (v1_pralg_2(A) & v1_fraenkel(A) -> (k1_tarski(k1_xboole_0) = A -> k1_xboole_0 = k1_pralg_2(A)))) # label(t2_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12761 (all A (-v2_msualg_1(A) & l1_msualg_1(A) & -v3_struct_0(A) -> (all B (l3_msualg_1(B,A) -> (all C (m1_subset_1(C,u1_msualg_1(A)) -> k4_card_3(k5_relat_1(k1_msualg_1(A,C),u4_msualg_1(A,B))) = k3_msualg_1(A,C,B) & k4_msualg_1(A,C,B) = k1_funct_1(u4_msualg_1(A,B),k2_msualg_1(A,C)) & k1_relat_1(k5_relat_1(k1_msualg_1(A,C),u4_msualg_1(A,B))) = k1_relat_1(k1_msualg_1(A,C)))))))) # label(t10_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12762 (all A (-v1_xboole_0(A) -> (all B all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (all E (m2_relset_1(E,B,A) & v1_funct_2(E,B,A) & v1_funct_1(E) -> r6_pboole(B,k7_pboole(B,A,E,k11_pboole(A,C,D)),k11_pboole(B,k7_pboole(B,A,E,C),k7_pboole(B,A,E,D))))))))))) # label(t9_pralg_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12763 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k3_t_0topsp(A)))) -> (v3_pre_topc(B,k3_t_0topsp(A)) <-> r2_hidden(k3_tarski(B),u1_pre_topc(A))))))) # label(t6_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12764 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_eqrel_1(u1_struct_0(A),k1_t_0topsp(A),B) = k8_funct_2(u1_struct_0(A),u1_struct_0(k3_t_0topsp(A)),k4_t_0topsp(A),B))))) # label(t8_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12765 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> v1_funct_1(k4_t_0topsp(A)) & v1_funct_2(k4_t_0topsp(A),u1_struct_0(A),u1_struct_0(k3_t_0topsp(A))) & v5_pre_topc(k4_t_0topsp(A),A,k3_t_0topsp(A)) & m2_relset_1(k4_t_0topsp(A),u1_struct_0(A),u1_struct_0(k3_t_0topsp(A))))) # label(dt_k4_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12766 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k8_funct_2(u1_struct_0(A),u1_struct_0(k3_t_0topsp(A)),k4_t_0topsp(A),B) = k8_funct_2(u1_struct_0(A),u1_struct_0(k3_t_0topsp(A)),k4_t_0topsp(A),C) <-> r2_hidden(k8_borsuk_1(A,A,C,B),k1_t_0topsp(A))))))))) # label(t9_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12767 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (v1_funct_2(C,A,B) & m2_relset_1(C,A,B) & v1_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(A)) -> ((all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,A) -> (k8_funct_2(A,B,C,F) = k8_funct_2(A,B,C,E) & r2_hidden(E,D) -> r2_hidden(F,D)))))) -> k3_funct_2(A,B,C,k2_funct_2(A,B,C,D)) = D))))))))) # label(t2_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12768 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (k8_funct_2(u1_struct_0(A),u1_struct_0(k3_t_0topsp(A)),k4_t_0topsp(A),D) = k8_funct_2(u1_struct_0(A),u1_struct_0(k3_t_0topsp(A)),k4_t_0topsp(A),C) & r2_hidden(C,B) -> r2_hidden(D,B))))))))))) # label(t10_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12769 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> v3_relat_2(k1_t_0topsp(A)) & v1_partfun1(k1_t_0topsp(A),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k1_t_0topsp(A),u1_struct_0(A),u1_struct_0(A)) & v8_relat_2(k1_t_0topsp(A)))) # label(dt_k1_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12770 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> -v3_struct_0(k3_t_0topsp(A)) & l1_pre_topc(k3_t_0topsp(A)) & v2_t_0topsp(k3_t_0topsp(A)) & v2_pre_topc(k3_t_0topsp(A)))) # label(t13_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12771 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_pre_topc(B) & l1_pre_topc(B) & v2_t_0topsp(B) & -v3_struct_0(B) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (exists D (v5_pre_topc(D,k3_t_0topsp(A),B) & m2_relset_1(D,u1_struct_0(k3_t_0topsp(A)),u1_struct_0(B)) & k4_borsuk_1(A,k3_t_0topsp(A),B,k4_t_0topsp(A),D) = C & v1_funct_2(D,u1_struct_0(k3_t_0topsp(A)),u1_struct_0(B)) & v1_funct_1(D))))))))) # label(t17_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12772 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_t_0topsp(B) & v2_pre_topc(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_pre_topc(A,B,C,k6_eqrel_1(u1_struct_0(A),k1_t_0topsp(A),D)) = k1_struct_0(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)))))))))) # label(t16_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12773 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,k2_t_0topsp(A)) -> r1_xboole_0(C,B) | r1_tarski(C,B))))))))) # label(t11_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12774 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r2_hidden(B,k8_funct_2(u1_struct_0(A),u1_struct_0(k3_t_0topsp(A)),k4_t_0topsp(A),B)))))) # label(t3_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12775 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v3_relat_2(B) & v1_partfun1(B,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v8_relat_2(B) -> (k1_t_0topsp(A) = B <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(k4_tarski(C,D),B) <-> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(E,A) -> (r2_hidden(D,E) <-> r2_hidden(C,E))))))))))))))) # label(d3_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12776 (all A all B (v2_pre_topc(B) & l1_pre_topc(B) & -v3_struct_0(B) -> ((exists C (m1_subset_1(C,k1_zfmisc_1(k2_t_0topsp(B))) & r2_hidden(k3_tarski(C),u1_pre_topc(B)) & C = A)) <-> r2_hidden(A,a_1_0_t_0topsp(B))))) # label(fraenkel_a_1_0_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12777 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> v1_t_0topsp(k4_t_0topsp(A),A,k3_t_0topsp(A)))) # label(t12_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12778 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> -v1_xboole_0(k2_t_0topsp(A)) & m1_eqrel_1(k2_t_0topsp(A),u1_struct_0(A)))) # label(dt_k2_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12779 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> k4_t_0topsp(A) = k17_borsuk_1(A,k2_t_0topsp(A)))) # label(d6_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12780 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(k3_t_0topsp(A))) <-> (exists C (k6_eqrel_1(u1_struct_0(A),k1_t_0topsp(A),C) = B & m1_subset_1(C,u1_struct_0(A)))))))) # label(t7_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12781 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> ((exists C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v3_tops_2(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)))) <-> r1_t_0topsp(A,B)))))) # label(d1_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12782 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> r1_tarski(k2_relat_1(k4_t_0topsp(A)),u1_struct_0(k3_t_0topsp(A))) & k1_relat_1(k4_t_0topsp(A)) = u1_struct_0(A))) # label(t4_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12783 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> l1_pre_topc(k3_t_0topsp(A)) & v2_pre_topc(k3_t_0topsp(A)))) # label(dt_k3_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12784 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v1_t_0topsp(C,A,B) <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(D,A) -> v3_pre_topc(k4_pre_topc(A,B,C,D),B))))))))))) # label(d2_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12785 (all A (l1_pre_topc(A) -> (v3_struct_0(A) | (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & (r2_hidden(C,D) & -r2_hidden(B,D) | -r2_hidden(C,D) & r2_hidden(B,D))))) & B != C))))) <-> v2_t_0topsp(A)))) # label(d7_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12786 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> k2_t_0topsp(A) = u1_struct_0(k3_t_0topsp(A)) & a_1_0_t_0topsp(A) = u1_pre_topc(k3_t_0topsp(A)))) # label(t5_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12787 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> v2_pre_topc(k3_t_0topsp(A)) & -v3_struct_0(k3_t_0topsp(A)))) # label(fc1_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12788 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> k3_t_0topsp(A) = k16_borsuk_1(A,k2_t_0topsp(A)))) # label(d5_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12789 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> k8_eqrel_1(u1_struct_0(A),k1_t_0topsp(A)) = k2_t_0topsp(A))) # label(d4_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12790 (exists A (l1_pre_topc(A) & v2_pre_topc(A) & v2_t_0topsp(A) & -v3_struct_0(A))) # label(rc1_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12791 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l1_pre_topc(B) & v2_pre_topc(B) -> ((exists C (m2_relset_1(C,u1_struct_0(k3_t_0topsp(B)),u1_struct_0(k3_t_0topsp(A))) & r1_rfinseq(k4_t_0topsp(A),k7_funct_2(u1_struct_0(B),u1_struct_0(k3_t_0topsp(B)),u1_struct_0(k3_t_0topsp(A)),k4_t_0topsp(B),C)) & v3_tops_2(C,k3_t_0topsp(B),k3_t_0topsp(A)) & v1_funct_2(C,u1_struct_0(k3_t_0topsp(B)),u1_struct_0(k3_t_0topsp(A))) & v1_funct_1(C))) -> r1_t_0topsp(A,B)))))) # label(t14_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12792 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (m2_relset_1(C,A,B) -> (all D (m2_relset_1(D,A,B) -> ((all E (m1_subset_1(E,A) -> (all F (m1_subset_1(F,B) -> (r2_hidden(k4_tarski(E,F),C) <-> r2_hidden(k4_tarski(E,F),D)))))) -> D = C))))))))) # label(t1_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12793 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_t_0topsp(B) & l1_pre_topc(B) & v2_pre_topc(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r2_hidden(k8_borsuk_1(A,A,D,E),k1_t_0topsp(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E) = k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D)))))))))))) # label(t15_t_0topsp) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12794 (all A all B all C all D all E (v1_funct_1(B) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & m1_subset_1(E,A) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & 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) -> (all F all G all H all I all J (g2_quantal1(A,B,C,D,E) = g2_quantal1(F,G,H,I,J) -> J = E & D = I & H = C & B = G & F = A)))) # label(free_g2_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12795 (all A (l3_quantal1(A) -> u1_quantal1(A) = k3_quantal1(A))) # label(d21_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12796 (all A (l3_quantal1(A) -> m1_subset_1(k3_quantal1(A),u1_struct_0(A)))) # label(dt_k3_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12797 (exists A (l1_quantal1(A) & -v3_struct_0(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v7_group_1(A) & v8_quantal1(A) & v7_quantal1(A) & v6_quantal1(A) & v5_quantal1(A) & v4_quantal1(A) & v4_group_1(A) & v2_group_1(A) & v4_lattice3(A) & v10_lattices(A) & v6_lattices(A) & v5_lattices(A) & v4_lattices(A))) # label(rc6_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12798 (exists A (v4_quantal1(A) & v5_quantal1(A) & v6_quantal1(A) & -v3_struct_0(A) & l1_group_1(A))) # label(rc5_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12799 (all A all B all C all D (l3_lattices(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(B)) & v4_lattice3(B) & v10_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_5_quantal1(B,C,D)) <-> (exists E (r2_hidden(E,D) & k8_funct_2(u1_struct_0(B),u1_struct_0(B),C,E) = A & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_5_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12800 (all A all B (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & l3_quantal1(A) -> m1_subset_1(k5_quantal1(A,B),u1_struct_0(A)))) # label(dt_k5_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12801 (all A (-v3_struct_0(A) & l1_group_1(A) -> ((exists B ((all C (m1_subset_1(C,u1_struct_0(A)) -> B = k1_group_1(A,B,C))) & m1_subset_1(B,u1_struct_0(A)))) <-> v4_quantal1(A)))) # label(d2_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.23 12802 (all A (l3_quantal1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_quantal1(A,B,k3_quantal1(A)) = k5_quantal1(A,B))))) # label(d23_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12803 (exists A (l2_quantal1(A) & v4_lattices(A) & v5_lattices(A) & v9_lattices(A) & v4_lattice3(A) & v10_lattices(A) & v8_lattices(A) & v7_lattices(A) & v6_lattices(A) & -v3_struct_0(A))) # label(rc7_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12804 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & v20_quantal1(A) & v2_group_1(A) & v4_lattice3(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k9_quantal1(A,B,C) = k5_quantal1(A,k4_monoid_0(A,k5_quantal1(A,B),k5_quantal1(A,C))))))))) # label(d27_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12805 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_group_1(A) & v7_quantal1(A) & l1_quantal1(A) & v8_quantal1(A) & v4_lattice3(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (v18_quantal1(B,A) -> r3_lattices(A,C,k1_quantal1(A,k1_quantal1(A,C,B),B)) & r3_lattices(A,C,k2_quantal1(A,k2_quantal1(A,C,B),B))))))))) # label(t16_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12806 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (v1_finset_1(C) & m1_subset_1(C,k1_zfmisc_1(B)) -> (exists D (r2_hidden(D,B) & r1_lattices(A,k15_lattice3(A,C),D) & m1_subset_1(D,u1_struct_0(A)))))) <-> v1_quantal1(B,A)))))) # label(d1_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12807 (all A (v2_group_1(A) & l2_quantal1(A) & -v3_struct_0(A) -> (v10_lattices(A) & v4_lattice3(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & v4_group_1(A) & -v3_struct_0(A) -> v4_lattice3(A) & v4_group_1(A) & v10_quantal1(A) & l2_quantal1(A) & v9_quantal1(A) & v6_quantal1(A) & v4_quantal1(A) & v2_group_1(A) & v10_lattices(A) & -v3_struct_0(A)))) # label(t7_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12808 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v2_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & v20_quantal1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k9_quantal1(A,k3_quantal1(A),B) = B & B = k9_quantal1(A,B,k3_quantal1(A)))))) # label(t33_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12809 (all A (l1_group_1(A) -> (v5_quantal1(A) & v4_quantal1(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v6_quantal1(A)))) # label(cc2_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12810 (exists A (l2_quantal1(A) & -v3_struct_0(A))) # label(rc4_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12811 (all A (v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & v4_lattice3(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_monoid_0(A,k3_lattices(A,B,C),D) = k3_lattices(A,k4_monoid_0(A,B,D),k4_monoid_0(A,C,D)) & k3_lattices(A,k4_monoid_0(A,D,B),k4_monoid_0(A,D,C)) = k4_monoid_0(A,D,k3_lattices(A,B,C)))))))))) # label(t6_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12812 (all A all B all C all D (v10_lattices(B) & v4_lattice3(B) & v7_quantal1(B) & v8_quantal1(B) & l1_quantal1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_3_quantal1(B,C,D)) <-> (exists E exists F (m1_subset_1(E,u1_struct_0(B)) & r2_hidden(E,C) & r2_hidden(F,D) & A = k4_monoid_0(B,E,F) & m1_subset_1(F,u1_struct_0(B))))))) # label(fraenkel_a_3_3_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12813 (exists A (l1_quantal1(A) & v2_quantal1(A))) # label(rc1_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12814 (all A all B all C (-v3_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & l1_quantal1(A) -> m1_subset_1(k2_quantal1(A,B,C),u1_struct_0(A)))) # label(dt_k2_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12815 (all A all B (m1_subset_1(B,u1_struct_0(f1_s3_quantal1)) -> ((exists C (A = f2_s3_quantal1(B,C) & r2_hidden(C,f4_s3_quantal1) & m1_subset_1(C,u1_struct_0(f1_s3_quantal1)))) <-> r2_hidden(A,a_1_0_quantal1(B))))) # label(fraenkel_a_1_0_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12816 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v4_group_1(A) & v7_quantal1(A) & v20_quantal1(A) & l3_quantal1(A) & v21_quantal1(A) & v8_quantal1(A) & v2_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k5_quantal1(A,k3_lattices(A,B,C)) = k4_lattices(A,k5_quantal1(A,B),k5_quantal1(A,C)) & k3_lattices(A,k5_quantal1(A,B),k5_quantal1(A,C)) = k5_quantal1(A,k4_lattices(A,B,C)))))))) # label(t26_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12817 (all A all B all C all D all E all F (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & m1_subset_1(F,A) & m1_subset_1(E,A) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> l3_quantal1(g3_quantal1(A,B,C,D,E,F)) & v19_quantal1(g3_quantal1(A,B,C,D,E,F)))) # label(dt_g3_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12818 (all A (l2_quantal1(A) -> (v3_quantal1(A) -> A = g2_quantal1(u1_struct_0(A),u2_lattices(A),u1_lattices(A),u1_group_1(A),u1_vectsp_1(A))))) # label(abstractness_v3_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12819 (all A (l3_quantal1(A) -> l2_quantal1(A))) # label(dt_l3_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12820 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(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)) -> (r3_lattices(A,k4_monoid_0(A,B,C),D) <-> r3_lattices(A,C,k2_quantal1(A,B,D))))))))))) # label(t11_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12821 (all A (l1_quantal1(A) -> (v2_quantal1(A) -> g1_quantal1(u1_struct_0(A),u2_lattices(A),u1_lattices(A),u1_group_1(A)) = A))) # label(abstractness_v2_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12822 (all A all B all C all D (v7_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & v20_quantal1(B) & v8_quantal1(B) & v4_group_1(B) & v2_group_1(B) & v4_lattice3(B) & v10_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_8_quantal1(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & r2_hidden(E,D) & k4_monoid_0(B,C,E) = A))))) # label(fraenkel_a_3_8_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12823 (all A (v1_relat_1(A) & v1_funct_1(A) -> (v11_quantal1(A) <-> k5_relat_1(A,A) = A))) # label(d9_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12824 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v1_quantal1(B,A) & v1_xboole_0(B)))))) # label(t3_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12825 (all A (-v3_struct_0(A) & v10_lattices(A) & v2_group_1(A) & v4_group_1(A) & v7_quantal1(A) & v20_quantal1(A) & l3_quantal1(A) & v21_quantal1(A) & v8_quantal1(A) & v4_lattice3(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k9_quantal1(A,k9_quantal1(A,B,C),D) = k9_quantal1(A,B,k9_quantal1(A,C,D)))))))))) # label(t31_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12826 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (exists B (v12_quantal1(B,A) & v13_quantal1(B,A) & v14_quantal1(B,A) & v1_partfun1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & -v1_xboole_0(B) & v1_funct_1(B) & v1_relat_1(B) & m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)))))) # label(rc9_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12827 (all A (-v3_struct_0(A) & v4_lattice3(A) & v4_group_1(A) & v7_quantal1(A) & l1_quantal1(A) & v8_quantal1(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,k4_monoid_0(A,C,D),B) -> r3_lattices(A,k4_monoid_0(A,D,C),B)))))) <-> v18_quantal1(B,A)))))) # label(t15_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12828 (all A (v4_lattice3(A) & v2_group_1(A) & v4_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & v20_quantal1(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_quantal1(A,k5_quantal1(A,B)) = B)))) # label(t22_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12829 (all A (l3_quantal1(A) & -v3_struct_0(A) -> m1_subset_1(k4_quantal1(A),u1_struct_0(A)))) # label(dt_k4_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12830 (all A (l1_group_1(A) & -v3_struct_0(A) -> (v4_quantal1(A) & v5_quantal1(A) <-> v6_quantal1(A)))) # label(d4_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12831 (all A all B (l3_quantal1(A) & v1_funct_1(B) & m1_relset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & -v3_struct_0(A) -> v1_funct_2(k8_quantal1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(k8_quantal1(A,B),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_1(k8_quantal1(A,B)))) # label(dt_k8_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12832 (all A (l3_quantal1(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) -> k7_quantal1(A,B) = k2_monoid_0(u1_struct_0(A),B,k6_quantal1(A)))))) # label(d25_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12833 (all A (m1_subset_1(A,f1_s2_quantal1) -> -p1_s2_quantal1(A))) -> a_0_3_quantal1 = k1_xboole_0 # label(s2_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12834 (all A (l3_quantal1(A) & -v3_struct_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_2(B,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) -> k8_quantal1(A,B) = k7_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u1_struct_0(A),B,k6_quantal1(A)))))) # label(d26_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12835 (all A all B all C all D (-v3_struct_0(B) & v7_quantal1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & v8_quantal1(B) & v4_group_1(B) & v2_group_1(B) & v4_lattice3(B) & v10_lattices(B) -> (r2_hidden(A,a_3_10_quantal1(B,C,D)) <-> (exists E (k4_monoid_0(B,E,C) = A & r2_hidden(E,D) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_10_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12836 (exists A (-v3_struct_0(A) & v4_lattices(A) & v7_lattices(A) & v10_lattices(A) & v4_lattice3(A) & v2_group_1(A) & v7_group_1(A) & v5_quantal1(A) & v7_quantal1(A) & v10_quantal1(A) & v9_quantal1(A) & v8_quantal1(A) & v6_quantal1(A) & v4_quantal1(A) & v4_group_1(A) & v9_lattices(A) & v8_lattices(A) & v6_lattices(A) & v5_lattices(A) & l2_quantal1(A))) # label(rc8_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12837 (all A all B all C (-v3_struct_0(A) & l1_quantal1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k1_quantal1(A,B,C),u1_struct_0(A)))) # label(dt_k1_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12838 (all A all B all C all D (-v3_struct_0(B) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,u1_struct_0(B)) & l1_quantal1(B) -> (r2_hidden(A,a_3_7_quantal1(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & r1_lattices(B,k4_monoid_0(B,C,E),D) & A = E))))) # label(fraenkel_a_3_7_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12839 (all A (l3_quantal1(A) & -v3_struct_0(A) -> k4_quantal1(A) = k1_quantal1(A,k3_quantal1(A),k3_quantal1(A)))) # label(d22_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12840 (all A all B all C all D (-v3_struct_0(B) & v4_group_1(B) & v20_quantal1(B) & v21_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & v8_quantal1(B) & v7_quantal1(B) & v2_group_1(B) & v4_lattice3(B) & v10_lattices(B) -> (r2_hidden(A,a_3_9_quantal1(B,C,D)) <-> (exists E (r2_hidden(E,D) & A = k9_quantal1(B,C,E) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_9_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12841 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(C) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) = k1_quantal1(A,k1_quantal1(A,D,B),B))) -> v14_quantal1(C,A)))))))) # label(t14_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12842 (all A (l1_quantal1(A) & -v3_struct_0(A) -> (v10_quantal1(A) <-> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_quantal1(C,A) & v1_quantal1(B,A) -> k15_lattice3(A,a_3_2_quantal1(A,B,C)) = k4_monoid_0(A,k15_lattice3(A,B),k15_lattice3(A,C)))))))))) # label(d8_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12843 (all A (l1_quantal1(A) & -v3_struct_0(A) -> (v7_quantal1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C k15_lattice3(A,a_3_0_quantal1(A,B,C)) = k4_monoid_0(A,B,k15_lattice3(A,C)))))))) # label(d5_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12844 (all A (l1_quantal1(A) & -v3_struct_0(A) -> (v8_quantal1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C k15_lattice3(A,a_3_1_quantal1(A,B,C)) = k4_monoid_0(A,k15_lattice3(A,C),B))))))) # label(d6_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12845 (all A (-v3_struct_0(A) & l1_quantal1(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) -> (v16_quantal1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> r1_lattices(A,k4_monoid_0(A,k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C),k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,D)),k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,k4_monoid_0(A,C,D)))))))))))) # label(d14_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12846 (all A (-v3_struct_0(A) & l3_quantal1(A) -> v1_funct_1(k6_quantal1(A)) & v1_funct_2(k6_quantal1(A),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k6_quantal1(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k6_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12847 (all A (l3_quantal1(A) -> m1_subset_1(u1_quantal1(A),u1_struct_0(A)))) # label(dt_u1_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12848 (all A (r2_hidden(A,a_0_4_quantal1) <-> (exists B (m1_subset_1(B,u1_struct_0(f1_s3_quantal1)) & k15_lattice3(f1_s3_quantal1,a_1_0_quantal1(B)) = A & r2_hidden(B,f3_s3_quantal1))))) # label(fraenkel_a_0_4_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12849 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) -> (v14_quantal1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r1_lattices(A,C,D) -> r1_lattices(A,k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C),k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,D)))))))))))) # label(d12_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12850 (all A (l1_quantal1(A) & v8_quantal1(A) & v7_quantal1(A) & v4_group_1(A) & v4_lattice3(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (v17_quantal1(B,A) -> k1_quantal1(A,C,D) = k1_quantal1(A,k4_monoid_0(A,C,k2_quantal1(A,D,B)),B) & k2_quantal1(A,k4_monoid_0(A,k1_quantal1(A,D,B),C),B) = k2_quantal1(A,C,D)))))))))) # label(t20_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12851 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> r1_lattices(A,C,k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C)))) <-> v12_quantal1(B,A)))))) # label(d10_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12852 (all A (-v3_struct_0(A) & v4_lattice3(A) & v7_quantal1(A) & l1_quantal1(A) & v8_quantal1(A) & v4_group_1(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r3_lattices(A,B,C) & r3_lattices(A,D,E) -> r3_lattices(A,k4_monoid_0(A,B,D),k4_monoid_0(A,C,E))))))))))))) # label(t9_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12853 (all A (-v3_struct_0(A) & v4_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l1_quantal1(A) & v4_lattice3(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (v18_quantal1(B,A) -> r3_lattices(A,k4_monoid_0(A,k1_quantal1(A,k1_quantal1(A,C,B),B),k1_quantal1(A,k1_quantal1(A,D,B),B)),k1_quantal1(A,k1_quantal1(A,k4_monoid_0(A,C,D),B),B))))))))))) # label(t18_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12854 (all A (-v3_struct_0(A) & l1_quantal1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v17_quantal1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_quantal1(A,k2_quantal1(A,C,B),B) = C & C = k2_quantal1(A,k1_quantal1(A,C,B),B)))))))) # label(d17_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12855 (exists A l2_quantal1(A)) # label(existence_l2_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12856 (all A (r2_hidden(A,a_0_2_quantal1) <-> (exists B (p1_s1_quantal1(B) & f3_s1_quantal1(f4_s1_quantal1(B)) = A & m1_subset_1(B,f1_s1_quantal1))))) # label(fraenkel_a_0_2_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12857 (all A (l1_group_1(A) & -v3_struct_0(A) -> ((exists B ((all C (m1_subset_1(C,u1_struct_0(A)) -> B = k1_group_1(A,C,B))) & m1_subset_1(B,u1_struct_0(A)))) <-> v5_quantal1(A)))) # label(d3_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12858 (all A all B all C all D all E all F (-v1_xboole_0(A) & 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(A,A),A) & m1_subset_1(E,A) & m1_subset_1(F,A) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> v19_quantal1(g3_quantal1(A,B,C,D,E,F)) & -v3_struct_0(g3_quantal1(A,B,C,D,E,F)))) # label(fc3_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12859 (all A (l2_quantal1(A) -> l1_vectsp_1(A) & l1_quantal1(A))) # label(dt_l2_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12860 (exists A (l1_quantal1(A) & -v3_struct_0(A))) # label(rc2_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12861 (all A all B all C all D (-v3_struct_0(B) & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,u1_struct_0(B)) & l1_quantal1(B) -> (r2_hidden(A,a_3_6_quantal1(B,C,D)) <-> (exists E (A = E & r1_lattices(B,k4_monoid_0(B,E,C),D) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_6_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12862 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v8_quantal1(A) & l1_quantal1(A) & v7_quantal1(A) -> (all B all C k4_monoid_0(A,k15_lattice3(A,B),k15_lattice3(A,C)) = k15_lattice3(A,a_3_3_quantal1(A,B,C))))) # label(t5_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12863 (all A (-v3_struct_0(A) & l3_quantal1(A) -> (v18_quantal1(u1_quantal1(A),A) <-> v20_quantal1(A)))) # label(d19_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12864 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & l1_quantal1(A) & v8_quantal1(A) & v7_quantal1(A) & v4_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v17_quantal1(B,A) -> v2_group_1(A) & k3_binop_1(u1_struct_0(A),u1_group_1(A)) = k2_quantal1(A,B,B) & k1_quantal1(A,B,B) = k3_binop_1(u1_struct_0(A),u1_group_1(A))))))) # label(t19_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12865 (all A (-v3_struct_0(A) & l3_quantal1(A) -> (v21_quantal1(A) <-> v17_quantal1(u1_quantal1(A),A)))) # label(d20_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12866 (all A (v4_lattice3(A) & v7_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & v8_quantal1(A) & v4_group_1(A) & v2_group_1(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B k5_quantal1(A,k16_lattice3(A,B)) = k15_lattice3(A,a_2_0_quantal1(A,B))))) # label(t25_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12867 (all A all B all C all D (-v3_struct_0(B) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(B)) & v1_funct_1(C) & l3_lattices(B) -> (r2_hidden(A,a_3_4_quantal1(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & A = k8_funct_2(u1_struct_0(B),u1_struct_0(B),C,E) & r2_hidden(E,D)))))) # label(fraenkel_a_3_4_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12868 (all A ((exists B (m1_subset_1(B,f1_s1_quantal1) & f4_s1_quantal1(B) = A & p1_s1_quantal1(B))) <-> r2_hidden(A,a_0_1_quantal1))) # label(fraenkel_a_0_1_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12869 (all A all B (v1_funct_1(B) & m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & l3_quantal1(A) & -v3_struct_0(A) -> v1_funct_2(k7_quantal1(A,B),u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(k7_quantal1(A,B),u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(k7_quantal1(A,B)))) # label(dt_k7_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12870 (all A all B all C all D all E all F (v1_funct_1(B) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & m1_subset_1(F,A) & m1_subset_1(E,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_2(B,k2_zfmisc_1(A,A),A) -> (all G all H all I all J all K all L (g3_quantal1(G,H,I,J,K,L) = g3_quantal1(A,B,C,D,E,F) -> C = I & D = J & E = K & F = L & H = B & A = G)))) # label(free_g3_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12871 (all A (-v3_struct_0(A) & v4_lattice3(A) & v8_quantal1(A) & l1_quantal1(A) & v7_quantal1(A) & v4_group_1(A) & v10_lattices(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) -> -(v14_quantal1(B,A) & v15_quantal1(B,A) & (all C (-v3_struct_0(C) & v10_lattices(C) & v4_lattice3(C) & l3_lattices(C) -> -(k2_relat_1(B) = u1_struct_0(C) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(C))) -> k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,k15_lattice3(A,D)) = k15_lattice3(C,D)))))) & v11_quantal1(B)))))) # label(t34_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12872 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) -> (v15_quantal1(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_lattices(A,k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,k15_lattice3(A,C)),k15_lattice3(A,a_3_4_quantal1(A,B,C)))))))))) # label(d13_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12873 (exists A (l2_quantal1(A) & v3_quantal1(A))) # label(rc3_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12874 (all A all B all C (v4_lattice3(B) & v7_quantal1(B) & l3_quantal1(B) & v21_quantal1(B) & v20_quantal1(B) & v8_quantal1(B) & v4_group_1(B) & v2_group_1(B) & v10_lattices(B) & -v3_struct_0(B) -> ((exists D (m1_subset_1(D,u1_struct_0(B)) & A = k5_quantal1(B,D) & r2_hidden(D,C))) <-> r2_hidden(A,a_2_0_quantal1(B,C))))) # label(fraenkel_a_2_0_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12875 (all A (v7_quantal1(A) & l1_quantal1(A) & v8_quantal1(A) & v4_group_1(A) & v4_lattice3(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (v18_quantal1(B,A) -> k2_quantal1(A,k2_quantal1(A,k2_quantal1(A,C,B),B),B) = k2_quantal1(A,C,B) & k1_quantal1(A,k1_quantal1(A,k1_quantal1(A,C,B),B),B) = k1_quantal1(A,C,B)))))))) # label(t17_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12876 (all A (v10_lattices(A) & v4_lattice3(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_1(B) -> (v14_quantal1(B,A) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k15_lattice3(A,a_3_5_quantal1(A,B,C)) = k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,k15_lattice3(A,C)))) <-> v15_quantal1(B,A))))))) # label(t10_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12877 (all A all B all C all D (l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & -v3_struct_0(B) -> (r2_hidden(A,a_3_1_quantal1(B,C,D)) <-> (exists E (k4_monoid_0(B,E,C) = A & r2_hidden(E,D) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_1_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12878 (exists A l1_quantal1(A)) # label(existence_l1_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12879 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (all E (C = D -> (r4_lattice3(A,C,E) -> r4_lattice3(B,D,E)) & (r4_lattice3(B,D,E) -> r4_lattice3(A,C,E)) & (r3_lattice3(B,D,E) -> r3_lattice3(A,C,E)) & (r3_lattice3(A,C,E) -> r3_lattice3(B,D,E))))))))))))) # label(t2_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12880 (all A (-v3_struct_0(A) & v4_lattice3(A) & v20_quantal1(A) & v21_quantal1(A) & l3_quantal1(A) & v8_quantal1(A) & v7_quantal1(A) & v4_group_1(A) & v2_group_1(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> r3_lattices(A,k5_quantal1(A,C),k5_quantal1(A,B))))))))) # label(t23_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12881 (all A (r2_hidden(A,a_0_0_quantal1) <-> (exists B (m1_subset_1(B,f2_s1_quantal1) & r2_hidden(B,a_0_1_quantal1) & A = f3_s1_quantal1(B))))) # label(fraenkel_a_0_0_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12882 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(A) & v7_quantal1(A) & v20_quantal1(A) & l3_quantal1(A) & v21_quantal1(A) & v8_quantal1(A) & v4_group_1(A) & v2_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k4_monoid_0(A,k4_quantal1(A),B) = B & k4_monoid_0(A,B,k4_quantal1(A)) = B)))) # label(t32_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12883 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> v2_quantal1(g1_quantal1(A,B,C,D)) & -v3_struct_0(g1_quantal1(A,B,C,D)))) # label(fc1_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12884 (all A (l1_quantal1(A) -> l1_group_1(A) & l3_lattices(A))) # label(dt_l1_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12885 (all A (l3_quantal1(A) & -v3_struct_0(A) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = k1_lattice3(k1_xboole_0) -> v20_quantal1(A) & v21_quantal1(A)))) # label(t21_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12886 (all A all B all C all D (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,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(A,A),A) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_1(B) -> (all E all F all G all H (g1_quantal1(A,B,C,D) = g1_quantal1(E,F,G,H) -> B = F & D = H & C = G & A = E)))) # label(free_g1_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12887 (all A ((exists B (p1_s2_quantal1(B) & f2_s2_quantal1(B) = A & m1_subset_1(B,f1_s2_quantal1))) <-> r2_hidden(A,a_0_3_quantal1))) # label(fraenkel_a_0_3_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12888 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v6_quantal1(A) -> -v3_struct_0(A) & v4_quantal1(A) & v5_quantal1(A)))) # label(cc1_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12889 (all A (-v3_struct_0(A) & l1_quantal1(A) -> (k1_lattice3(k1_xboole_0) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> v6_quantal1(A) & v7_quantal1(A) & v8_quantal1(A) & v10_lattices(A) & v4_lattice3(A) & v2_group_1(A) & v7_group_1(A) & v4_group_1(A)))) # label(t4_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12890 (all A (-v3_struct_0(A) & l3_lattices(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) -> (v13_quantal1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_lattices(A,k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C),C)))))))) # label(d11_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12891 (all A all B all C all D (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_relset_1(D,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) -> l1_quantal1(g1_quantal1(A,B,C,D)) & v2_quantal1(g1_quantal1(A,B,C,D)))) # label(dt_g1_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12892 (all A (l3_quantal1(A) -> (v19_quantal1(A) -> A = g3_quantal1(u1_struct_0(A),u2_lattices(A),u1_lattices(A),u1_group_1(A),u1_vectsp_1(A),u1_quantal1(A))))) # label(abstractness_v19_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12893 (all A (-v3_struct_0(A) & v4_lattice3(A) & v4_group_1(A) & v20_quantal1(A) & l3_quantal1(A) & v21_quantal1(A) & v8_quantal1(A) & v7_quantal1(A) & v2_group_1(A) & v10_lattices(A) -> (all B k5_quantal1(A,k15_lattice3(A,B)) = k16_lattice3(A,a_2_0_quantal1(A,B))))) # label(t24_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12894 (all A (-v3_struct_0(A) & l1_quantal1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_quantal1(A,B,C) = k15_lattice3(A,a_3_7_quantal1(A,B,C)))))))) # label(d16_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12895 (all A (l1_quantal1(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k15_lattice3(A,a_3_6_quantal1(A,B,C)) = k1_quantal1(A,B,C))))))) # label(d15_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12896 (all A all B all C (v10_lattices(A) & v4_lattice3(A) & v2_group_1(A) & v21_quantal1(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l3_quantal1(A) & v20_quantal1(A) & v8_quantal1(A) & v7_quantal1(A) & v4_group_1(A) & -v3_struct_0(A) -> m1_subset_1(k9_quantal1(A,B,C),u1_struct_0(A)))) # label(dt_k9_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12897 (exists A l3_quantal1(A)) # label(existence_l3_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12898 (exists A (v19_quantal1(A) & l3_quantal1(A))) # label(rc10_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12899 (exists A (l3_quantal1(A) & -v3_struct_0(A) & v4_lattices(A) & v7_lattices(A) & v9_lattices(A) & v2_group_1(A) & v4_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & v10_quantal1(A) & v20_quantal1(A) & v21_quantal1(A) & v19_quantal1(A) & v9_quantal1(A) & v7_group_1(A) & v4_lattice3(A) & v10_lattices(A) & v8_lattices(A) & v6_lattices(A) & v5_lattices(A))) # label(rc12_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.24 12900 (all A (-v3_struct_0(A) & v4_lattice3(A) & v7_quantal1(A) & l1_quantal1(A) & v8_quantal1(A) & v4_group_1(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,k4_monoid_0(A,B,C),D) <-> r3_lattices(A,B,k1_quantal1(A,C,D))))))))))) # label(t12_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12901 (all A (v10_lattices(A) & v20_quantal1(A) & l3_quantal1(A) & v21_quantal1(A) & v8_quantal1(A) & v7_quantal1(A) & v4_group_1(A) & v2_group_1(A) & v4_lattice3(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(A)) -> (r3_lattices(A,D,E) & r3_lattices(A,B,C) -> r3_lattices(A,k9_quantal1(A,B,D),k9_quantal1(A,C,E))))))))))))) # label(t30_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12902 (exists A (-v3_struct_0(A) & l3_quantal1(A))) # label(rc11_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12903 (all A (l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (C = E & D = F -> k2_lattices(B,E,F) = k2_lattices(A,C,D) & (r1_lattices(A,C,D) -> r1_lattices(B,E,F)) & (r1_lattices(B,E,F) -> r1_lattices(A,C,D)) & k1_lattices(B,E,F) = k1_lattices(A,C,D))))))))))))))) # label(t1_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12904 (all A ((exists B exists C (m1_subset_1(B,u1_struct_0(f1_s3_quantal1)) & A = f2_s3_quantal1(B,C) & r2_hidden(C,f4_s3_quantal1) & r2_hidden(B,f3_s3_quantal1) & m1_subset_1(C,u1_struct_0(f1_s3_quantal1)))) <-> r2_hidden(A,a_0_5_quantal1))) # label(fraenkel_a_0_5_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12905 (all A (v10_lattices(A) & v7_quantal1(A) & v20_quantal1(A) & l3_quantal1(A) & v21_quantal1(A) & v8_quantal1(A) & v4_group_1(A) & v2_group_1(A) & v4_lattice3(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (k15_lattice3(A,a_3_8_quantal1(A,B,C)) = k4_monoid_0(A,B,k15_lattice3(A,C)) & k16_lattice3(A,a_3_9_quantal1(A,B,C)) = k9_quantal1(A,B,k16_lattice3(A,C)))))))) # label(t27_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12906 (all A (-v3_struct_0(A) & v10_lattices(A) & v8_quantal1(A) & l1_quantal1(A) & v7_quantal1(A) & v4_group_1(A) & v4_lattice3(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> r3_lattices(A,k4_monoid_0(A,B,D),k4_monoid_0(A,C,D)) & r3_lattices(A,k4_monoid_0(A,D,B),k4_monoid_0(A,D,C))))))))))) # label(t8_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12907 (all A all B all C all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_quantal1(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_2_quantal1(B,C,D)) <-> (exists E exists F (m1_subset_1(F,u1_struct_0(B)) & A = k4_monoid_0(B,E,F) & r2_hidden(E,C) & r2_hidden(F,D) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_2_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12908 (all A all B all C all D (v4_group_1(B) & v7_quantal1(B) & l3_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & v21_quantal1(B) & v20_quantal1(B) & v8_quantal1(B) & v2_group_1(B) & v4_lattice3(B) & v10_lattices(B) & -v3_struct_0(B) -> (r2_hidden(A,a_3_11_quantal1(B,C,D)) <-> (exists E (A = k9_quantal1(B,E,C) & r2_hidden(E,D) & m1_subset_1(E,u1_struct_0(B))))))) # label(fraenkel_a_3_11_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12909 (all A all B all C all D all E (-v1_xboole_0(A) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & m1_subset_1(E,A) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> -v3_struct_0(g2_quantal1(A,B,C,D,E)) & v3_quantal1(g2_quantal1(A,B,C,D,E)))) # label(fc2_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12910 (all A (l2_quantal1(A) -> (-v3_struct_0(A) & v10_lattices(A) & v7_quantal1(A) & v8_quantal1(A) & v4_lattice3(A) -> v5_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v4_lattice3(A) & v10_quantal1(A) & v9_quantal1(A) & v10_lattices(A) & v6_lattices(A) & v4_lattices(A) & -v3_struct_0(A)))) # label(cc3_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12911 (all A (-v3_struct_0(A) & l1_quantal1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k2_quantal1(A,C,B) = k1_quantal1(A,C,B))) <-> v18_quantal1(B,A)))))) # label(d18_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12912 (all A all B all C all D all E (v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(A,A),A) & m1_subset_1(E,A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(B) -> l2_quantal1(g2_quantal1(A,B,C,D,E)) & v3_quantal1(g2_quantal1(A,B,C,D,E)))) # label(dt_g2_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12913 (all A all B all C all D (l1_quantal1(B) & m1_subset_1(C,u1_struct_0(B)) & -v3_struct_0(B) -> ((exists E (k4_monoid_0(B,C,E) = A & r2_hidden(E,D) & m1_subset_1(E,u1_struct_0(B)))) <-> r2_hidden(A,a_3_0_quantal1(B,C,D))))) # label(fraenkel_a_3_0_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12914 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_group_1(A) & v7_quantal1(A) & v8_quantal1(A) & l3_quantal1(A) & v21_quantal1(A) & v20_quantal1(A) & v2_group_1(A) & v4_lattice3(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_lattices(A,k9_quantal1(A,C,B),k9_quantal1(A,D,B)) = k9_quantal1(A,k4_lattices(A,C,D),B) & k9_quantal1(A,B,k4_lattices(A,C,D)) = k4_lattices(A,k9_quantal1(A,B,C),k9_quantal1(A,B,D)))))))))) # label(t29_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12915 (all A (l1_quantal1(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k4_monoid_0(A,k1_lattices(A,B,C),D) = k1_lattices(A,k4_monoid_0(A,B,D),k4_monoid_0(A,C,D)) & k1_lattices(A,k4_monoid_0(A,D,B),k4_monoid_0(A,D,C)) = k4_monoid_0(A,D,k1_lattices(A,B,C)))))))) <-> v9_quantal1(A)))) # label(d7_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12916 (all A (-v3_struct_0(A) & v4_group_1(A) & v7_quantal1(A) & v20_quantal1(A) & l3_quantal1(A) & v21_quantal1(A) & v8_quantal1(A) & v2_group_1(A) & v4_lattice3(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (k16_lattice3(A,a_3_11_quantal1(A,B,C)) = k9_quantal1(A,k16_lattice3(A,C),B) & k15_lattice3(A,a_3_10_quantal1(A,B,C)) = k4_monoid_0(A,k15_lattice3(A,C),B))))))) # label(t28_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12917 (all A (l3_quantal1(A) & -v3_struct_0(A) -> (all B (v1_funct_1(B) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> k5_quantal1(A,C) = k8_funct_2(u1_struct_0(A),u1_struct_0(A),B,C))) <-> B = k6_quantal1(A)))))) # label(d24_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12918 (all A (v7_quantal1(A) & l1_quantal1(A) & v8_quantal1(A) & v4_group_1(A) & v4_lattice3(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,C,D) -> r3_lattices(A,k1_quantal1(A,D,B),k1_quantal1(A,C,B)) & r3_lattices(A,k2_quantal1(A,D,B),k2_quantal1(A,C,B))))))))))) # label(t13_quantal1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12919 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k3_tex_4(A,k1_struct_0(A,B)) = k2_tex_4(A,B))))) # label(t30_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12920 (all A all B (-v3_struct_0(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> v1_pre_topc(k6_tex_4(A,B)) & -v3_struct_0(k6_tex_4(A,B)))) # label(fc16_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12921 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> r1_tarski(B,k6_pre_topc(A,k1_struct_0(A,C)))))) <-> v1_tex_4(B,A)))))) # label(d12_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12922 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-r1_xboole_0(k2_tex_4(A,C),k3_tex_4(A,B)) -> r1_tarski(k2_tex_4(A,C),k3_tex_4(A,B))))))))) # label(t32_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12923 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tex_4(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(C,A) & -r1_tarski(B,C) & -r1_xboole_0(B,C))))))))) # label(d3_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12924 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (k1_xboole_0 != a_2_7_tex_4(A,B) -> r1_tarski(k3_tex_4(A,B),k1_setfam_1(a_2_7_tex_4(A,B)))))))) # label(t41_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12925 $T # label(t5_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12926 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tex_4(B,A) -> k6_setfam_1(u1_struct_0(A),B) = k1_xboole_0 | v1_tex_4(k5_setfam_1(u1_struct_0(A),B),A)))))) # label(t10_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12927 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> m1_pre_topc(k1_tex_2(A,B),k5_tex_4(A,B)))))) # label(t75_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12928 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> (v4_tex_4(B,A) <-> v3_tex_4(C,A))))))))) # label(t74_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12929 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) & -v3_struct_0(A) -> v1_pre_topc(k7_tex_4(A,B)) & m1_pre_topc(k7_tex_4(A,B),A))) # label(dt_k7_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12930 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & -v3_struct_0(A) -> -v1_xboole_0(k3_tex_4(A,B)))) # label(fc10_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12931 (all A all B (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k4_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(k4_tex_4(A,B)))) # label(dt_k4_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12932 (all A all B (v2_pre_topc(A) & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) & -v3_struct_0(A) -> v3_pre_topc(k1_tops_1(A,B),A) & v1_tex_2(k1_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(fc6_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12933 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> k2_tex_4(A,B) = k4_tex_4(A,B))) # label(redefinition_k4_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12934 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (v3_tex_4(B,A) & r2_hidden(C,B) -> B = k2_tex_4(A,C)))))))) # label(t29_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12935 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tdlat_3(B) & -v4_tex_4(B,A) & -v3_struct_0(B) -> -v3_struct_0(B) & v2_pre_topc(B) & -v1_tsep_1(B,A) & v2_tex_2(B,A)))))) # label(cc5_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12936 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> m1_pre_topc(k6_tex_4(A,C),B)))))))) # label(t82_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12937 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tex_4(B,A) -> v3_pre_topc(B,A) | v2_tops_1(B,A)))))) # label(t46_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12938 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k7_tex_4(A,C)))) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k7_tex_4(A,B)))) <-> g1_pre_topc(u1_struct_0(k7_tex_4(A,C)),u1_pre_topc(k7_tex_4(A,C))) = g1_pre_topc(u1_struct_0(k7_tex_4(A,B)),u1_pre_topc(k7_tex_4(A,B)))))))))) # label(t89_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12939 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(r1_xboole_0(k2_tex_4(A,C),B) & -r1_xboole_0(k2_tex_4(A,C),k3_tex_4(A,B))))))))) # label(t31_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12940 (all A all B all C (-v3_struct_0(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) -> (r2_hidden(A,a_2_4_tex_4(B,C)) <-> (exists D (v4_pre_topc(D,B) & r2_hidden(C,D) & A = D & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))))))) # label(fraenkel_a_2_4_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12941 (all A all B all C (-v3_struct_0(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(A,a_2_7_tex_4(B,C)) <-> (exists D (D = A & r1_tarski(C,D) & v3_pre_topc(D,B) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))))))) # label(fraenkel_a_2_7_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12942 (all A all B all C (-v3_struct_0(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_pre_topc(B) -> ((exists D (r1_tarski(C,D) & v4_pre_topc(D,B) & D = A & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,a_2_8_tex_4(B,C))))) # label(fraenkel_a_2_8_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12943 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & -v4_tex_4(B,A) & v1_borsuk_1(B,A) -> -v3_struct_0(B) & -v2_tdlat_3(B) & -v4_tex_4(B,A) & v2_pre_topc(B) & -v3_realset2(B)))))) # label(cc7_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12944 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (a_2_4_tex_4(A,B) != k1_xboole_0 -> r1_tarski(k2_tex_4(A,B),k1_setfam_1(a_2_4_tex_4(A,B)))))))) # label(t27_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12945 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k2_tex_4(A,B) = k2_tex_4(A,C) <-> k6_pre_topc(A,k1_struct_0(A,C)) = k6_pre_topc(A,k1_struct_0(A,B))))))))) # label(t51_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12946 (all A (-v3_struct_0(A) & l1_pre_topc(A) & -v3_realset2(A) -> (exists B (v1_pre_topc(B) & -v2_tex_2(B,A) & m1_pre_topc(B,A))))) # label(rc2_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12947 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_pre_topc(C,A) & v1_pre_topc(C) -> (k6_tex_4(A,B) = C <-> B = u1_struct_0(C)))))))) # label(d18_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12948 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> g1_pre_topc(u1_struct_0(k7_tex_4(A,B)),u1_pre_topc(k7_tex_4(A,B))) = g1_pre_topc(u1_struct_0(k7_tex_4(A,k3_tex_4(A,B))),u1_pre_topc(k7_tex_4(A,k3_tex_4(A,B)))))))) # label(t87_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12949 (all A all B all C (l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) & -v3_struct_0(B) -> (r2_hidden(A,a_2_5_tex_4(B,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & r2_hidden(C,D) & v3_pre_topc(D,B) & D = A))))) # label(fraenkel_a_2_5_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12950 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,k3_tex_4(A,C)) -> r1_tarski(k3_tex_4(A,B),k3_tex_4(A,C))))))))) # label(t36_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12951 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (k3_tex_4(A,C) = k3_tex_4(A,B) <-> r1_tarski(B,k3_tex_4(A,C)) & r1_tarski(C,k3_tex_4(A,B))))))))) # label(t37_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12952 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> -v3_struct_0(k5_tex_4(A,B)) & v3_tdlat_3(k5_tex_4(A,B)) & v4_tex_4(k5_tex_4(A,B),A) & v2_tdlat_3(k5_tex_4(A,B)) & v2_pre_topc(k5_tex_4(A,B)) & v1_pre_topc(k5_tex_4(A,B)))) # label(fc15_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12953 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,B) & v1_tex_4(B,A) -> v1_tex_4(C,A)))))))) # label(t7_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12954 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_tarski(k2_tex_4(A,B),k1_setfam_1(a_2_1_tex_4(A,B))))))) # label(t49_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12955 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tex_4(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(C,B) -> v1_tex_4(C,A))))))))) # label(d5_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12956 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k4_tex_4(A,B) = k3_xboole_0(k6_pre_topc(A,k1_struct_0(A,B)),k1_setfam_1(a_2_9_tex_4(A,B))))))) # label(d15_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12957 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_4(B,A) <-> v1_tex_4(B,A) & (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) & v1_tex_4(C,A) -> C = B)))))))) # label(d7_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12958 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tex_4(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> k6_pre_topc(A,B) = k6_pre_topc(A,k1_struct_0(A,C)))))))))) # label(d13_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12959 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,B) & v3_pre_topc(B,A) -> r1_tarski(k3_tex_4(A,C),B)))))))) # label(t40_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12960 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v4_tex_4(B,A) -> v2_pre_topc(B) & v3_tdlat_3(B) & v2_tdlat_3(B)))))) # label(cc1_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12961 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_setfam_1(u1_struct_0(A),k1_tex_4(A,B)) = k2_tex_4(A,B))))) # label(d8_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12962 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_tops_1(A,B) = k3_tex_4(A,k1_tops_1(A,B)))))) # label(t59_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12963 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (a_2_8_tex_4(A,B) != k1_xboole_0 -> r1_tarski(k3_tex_4(A,B),k1_setfam_1(a_2_8_tex_4(A,B)))))))) # label(t43_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12964 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k6_tex_4(A,B)))))))) # label(t81_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12965 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) | v4_pre_topc(C,A) -> k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) = k5_subset_1(u1_struct_0(A),k3_tex_4(A,B),k3_tex_4(A,C))))))))) # label(t66_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12966 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) & v1_tex_4(B,A) -> r1_tarski(B,k2_tex_4(A,C))))))))) # label(t21_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12967 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k3_tex_4(A,B),k6_pre_topc(A,B)))))) # label(t61_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12968 (all A all B (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) -> v1_xboole_0(k6_pre_topc(A,B)) & v3_pre_topc(k6_pre_topc(A,B),A) & v4_pre_topc(k6_pre_topc(A,B),A) & v1_tex_2(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))) & v1_membered(k6_pre_topc(A,B)) & v2_membered(k6_pre_topc(A,B)) & v3_membered(k6_pre_topc(A,B)) & v5_membered(k6_pre_topc(A,B)) & v4_membered(k6_pre_topc(A,B)) & v3_tops_1(k6_pre_topc(A,B),A) & v2_tops_1(k6_pre_topc(A,B),A))) # label(fc2_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12969 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_4(B,A) <-> (exists C (r2_hidden(C,B) & B = k2_tex_4(A,C) & m1_subset_1(C,u1_struct_0(A))))))))) # label(d9_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12970 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & v1_tsep_1(B,A) & m1_pre_topc(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (m1_subset_1(C,u1_struct_0(B)) -> m1_pre_topc(k5_tex_4(A,C),B)))))))) # label(t79_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12971 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & v2_pre_topc(A) & -v3_struct_0(A) -> v4_pre_topc(k6_pre_topc(A,B),A) & -v1_tex_2(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(k6_pre_topc(A,B)))) # label(fc3_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12972 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) -> -v3_tex_4(B,A))))) # label(t17_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12973 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r1_subset_1(u1_struct_0(k5_tex_4(A,B)),u1_struct_0(k5_tex_4(A,C))) | g1_pre_topc(u1_struct_0(k5_tex_4(A,C)),u1_pre_topc(k5_tex_4(A,C))) = g1_pre_topc(u1_struct_0(k5_tex_4(A,B)),u1_pre_topc(k5_tex_4(A,B))))))))) # label(t77_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12974 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k4_subset_1(u1_struct_0(A),k3_tex_4(A,B),k3_tex_4(A,C)) = k3_tex_4(A,k4_subset_1(u1_struct_0(A),B,C)))))))) # label(t38_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12975 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (k3_tex_4(A,C) = k3_tex_4(A,B) -> k6_pre_topc(A,C) = k6_pre_topc(A,B)))))))) # label(t65_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12976 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) -> (v2_tex_4(B,A) -> v1_tex_4(k6_setfam_1(u1_struct_0(A),B),A)))))) # label(t11_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12977 (all A all B (-v3_struct_0(A) & l1_pre_topc(A) & -v1_xboole_0(B) & -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -v3_struct_0(k6_tex_4(A,B)) & -v2_tex_2(k6_tex_4(A,B),A) & v1_pre_topc(k6_tex_4(A,B)))) # label(fc18_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12978 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_tarski(k6_pre_topc(A,k1_struct_0(A,B)),k6_pre_topc(A,k1_struct_0(A,C))) <-> r1_tarski(k4_tex_4(A,C),k1_setfam_1(a_2_9_tex_4(A,B)))))))))) # label(t54_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12979 (all A all B (l1_pre_topc(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v1_pre_topc(k6_tex_4(A,B)) & m1_pre_topc(k6_tex_4(A,B),A))) # label(dt_k6_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12980 (all A all B (-v3_struct_0(A) & l1_pre_topc(A) & -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -v1_tex_2(k3_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(k3_tex_4(A,B)))) # label(fc12_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12981 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k7_tex_4(A,B)))))))) # label(t83_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12982 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)),k5_subset_1(u1_struct_0(A),k3_tex_4(A,B),k3_tex_4(A,C))))))))) # label(t39_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12983 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_tarski(k2_tex_4(A,B),k1_setfam_1(a_2_9_tex_4(A,B))))))) # label(t48_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12984 (all A all B all C (-v3_struct_0(B) & l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(A,a_2_6_tex_4(B,C)) <-> (exists D (k2_tex_4(B,D) = A & r2_hidden(D,C) & m1_subset_1(D,u1_struct_0(B))))))) # label(fraenkel_a_2_6_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12985 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) & v3_tex_4(C,A) & C = D -> v3_tex_4(D,B)))))))))) # label(t16_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12986 (all A all B all C (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & r2_hidden(C,D) & v3_pre_topc(D,B) & A = D)) <-> r2_hidden(A,a_2_9_tex_4(B,C))))) # label(fraenkel_a_2_9_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12987 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_tarski(k1_struct_0(A,B),k2_tex_4(A,B)))))) # label(t20_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12988 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (k2_tex_4(A,B) = k2_tex_4(A,C) <-> r2_hidden(C,k2_tex_4(A,B))))))))) # label(t23_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12989 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) & v1_tex_4(C,A) & C = D -> v1_tex_4(D,B)))))))))) # label(t6_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12990 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) | v3_pre_topc(C,A) -> k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) = k5_subset_1(u1_struct_0(A),k3_tex_4(A,B),k3_tex_4(A,C))))))))) # label(t67_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12991 (all A all B (l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_pre_topc(k5_tex_4(A,B),A) & v1_pre_topc(k5_tex_4(A,B)))) # label(dt_k5_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12992 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_tex_4(k5_setfam_1(u1_struct_0(A),k1_tex_4(A,B)),A))))) # label(t15_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12993 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_realset1(B) & -v3_realset2(A) & -v3_struct_0(A) -> -v1_xboole_0(k6_pre_topc(A,B)) & -v1_realset1(k6_pre_topc(A,B)) & v4_pre_topc(k6_pre_topc(A,B),A))) # label(fc4_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12994 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) & v1_borsuk_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (m1_subset_1(C,u1_struct_0(B)) -> m1_pre_topc(k5_tex_4(A,C),B)))))))) # label(t78_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12995 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tex_4(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(D,A) & r2_hidden(C,B) & r2_hidden(C,D) -> r1_tarski(B,D))))))))))) # label(d2_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12996 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_tops_1(A,B) = k3_tarski(a_2_2_tex_4(A,B)))))) # label(t4_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12997 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) & v1_tex_4(B,A) -> v3_tex_4(B,A)))))) # label(t18_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12998 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_subset_1(k2_tex_4(A,B),k2_tex_4(A,C)) <-> k6_pre_topc(A,k1_struct_0(A,B)) != k6_pre_topc(A,k1_struct_0(A,C))))))))) # label(t52_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 12999 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(B,k3_tex_4(A,B)))))) # label(t34_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13000 (all A all B (-v3_struct_0(A) & l1_pre_topc(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_pre_topc(A) -> v3_pre_topc(k1_tops_1(A,B),A) & v4_pre_topc(k1_tops_1(A,B),A) & v3_tops_1(k1_tops_1(A,B),A) & v4_membered(k1_tops_1(A,B)) & v5_membered(k1_tops_1(A,B)) & v3_membered(k1_tops_1(A,B)) & v2_membered(k1_tops_1(A,B)) & v1_membered(k1_tops_1(A,B)) & v1_tex_2(k1_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))) & v2_tops_1(k1_tops_1(A,B),A) & v1_xboole_0(k1_tops_1(A,B)))) # label(fc7_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13001 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (r1_tarski(B,C) -> m1_pre_topc(k7_tex_4(A,B),k7_tex_4(A,C))))))))) # label(t86_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13002 (all A all B (-v3_struct_0(A) & -v3_realset2(A) & l1_pre_topc(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_realset1(B) -> -v3_realset2(k7_tex_4(A,B)) & v1_pre_topc(k7_tex_4(A,B)) & -v3_struct_0(k7_tex_4(A,B)))) # label(fc20_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13003 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_tex_4(A,B) = k2_tex_4(A,C) | r1_subset_1(k2_tex_4(A,B),k2_tex_4(A,C)))))))) # label(t24_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13004 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k1_setfam_1(a_2_0_tex_4(A,B)) = k6_pre_topc(A,B))))) # label(t1_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13005 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (v1_pre_topc(C) & m1_pre_topc(C,A) -> (k2_tex_4(A,B) = u1_struct_0(C) <-> C = k5_tex_4(A,B)))))))) # label(d17_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13006 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k1_xboole_0 != a_2_5_tex_4(A,B) -> r1_tarski(k2_tex_4(A,B),k1_setfam_1(a_2_5_tex_4(A,B)))))))) # label(t28_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13007 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v3_tex_4(k2_tex_4(A,B),A))))) # label(t22_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13008 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) & r1_tarski(C,B) -> r1_tarski(k3_tex_4(A,C),B)))))))) # label(t42_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13009 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k3_tarski(a_2_6_tex_4(A,B)) = k3_tex_4(A,B))))) # label(d11_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13010 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v2_tdlat_3(B) -> -v4_tex_4(B,A)))))) # label(cc2_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13011 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> B = k2_tex_4(A,C)))) <-> v3_tex_4(B,A)))))) # label(d10_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13012 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (v4_pre_topc(B,A) & v1_tex_4(B,A) -> v3_tex_4(B,A)))))) # label(t19_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13013 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v1_tsep_1(B,A) & v2_tdlat_3(B) & -v3_struct_0(B) -> v2_pre_topc(B) & v3_tdlat_3(B) & v4_tex_4(B,A) & v2_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc3_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13014 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(B,A) -> B = k3_tex_4(A,B)))))) # label(t62_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13015 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_pre_topc(k6_tex_4(A,B),k7_tex_4(A,B)))))) # label(t84_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13016 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k6_pre_topc(A,k1_struct_0(A,B)) = k1_struct_0(A,B) -> v4_tex_4(k1_tex_2(A,B),A)))))) # label(t80_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13017 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> k6_pre_topc(A,k1_struct_0(A,C)) = B))) <-> v1_tex_4(B,A) & v4_pre_topc(B,A)))))) # label(t45_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13018 (all A all B (l1_pre_topc(A) & v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v3_struct_0(A) -> v1_xboole_0(k3_tex_4(A,B)) & v1_tex_2(k3_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))) & v1_membered(k3_tex_4(A,B)) & v2_membered(k3_tex_4(A,B)) & v3_membered(k3_tex_4(A,B)) & v4_membered(k3_tex_4(A,B)) & v5_membered(k3_tex_4(A,B)) & v2_tops_1(k3_tex_4(A,B),A))) # label(fc11_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13019 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (k6_pre_topc(A,k1_struct_0(A,B)) = k1_struct_0(A,B) -> v3_tex_4(k1_struct_0(A,B),A)))))) # label(t47_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13020 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(B,A) -> k3_tex_4(A,B) = B))))) # label(t58_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13021 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) & v1_tsep_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> m1_pre_topc(k7_tex_4(A,C),B)))))))) # label(t90_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13022 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tex_4(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(D,A) & r2_hidden(C,D) & r2_hidden(C,B) -> r1_tarski(B,D))))))))))) # label(d1_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13023 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k3_tex_4(A,B),k1_setfam_1(a_2_0_tex_4(A,B))))))) # label(t60_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13024 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) -> r1_tarski(k3_tex_4(A,B),k3_tex_4(A,C))))))))) # label(t33_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13025 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m1_pre_topc(B,A) -> ((all C (m1_pre_topc(C,A) & v1_tsep_1(C,A) -> m1_pre_topc(B,C) | r1_tsep_1(A,B,C))) -> v2_tdlat_3(B)))))) # label(t70_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13026 $T # label(t3_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13027 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k3_tex_4(A,B),k1_setfam_1(a_2_10_tex_4(A,B))))))) # label(t57_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13028 (all A all B (l1_pre_topc(A) & -v1_realset1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & -v3_realset2(A) & -v3_struct_0(A) -> -v1_xboole_0(k3_tex_4(A,B)) & -v1_realset1(k3_tex_4(A,B)))) # label(fc13_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13029 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v4_tex_4(B,A) & v2_tdlat_3(B) & -v3_struct_0(B) -> -v3_struct_0(B) & v2_pre_topc(B) & v2_tex_2(B,A) & -v1_borsuk_1(B,A)))))) # label(cc8_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13030 (all A all B (-v3_struct_0(A) & -v1_xboole_0(B) & -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> v1_pre_topc(k7_tex_4(A,B)) & -v2_tex_2(k7_tex_4(A,B),A) & -v3_struct_0(k7_tex_4(A,B)))) # label(fc21_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13031 (all A all B all C (l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v2_pre_topc(B) & -v3_struct_0(B) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & D = A & r1_tarski(C,D) & v4_pre_topc(D,B))) <-> r2_hidden(A,a_2_0_tex_4(B,C))))) # label(fraenkel_a_2_0_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13032 (all A all B all C (l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & v1_tex_4(D,B) & r2_hidden(C,D) & A = D)) <-> r2_hidden(A,a_2_3_tex_4(B,C))))) # label(fraenkel_a_2_3_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.25 13033 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tex_4(C,A) & C = u1_struct_0(B) -> v2_tdlat_3(B))))))))) # label(t69_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13034 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k6_pre_topc(A,k1_struct_0(A,B)) = k1_setfam_1(a_2_1_tex_4(A,B)))))) # label(t2_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13035 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) & v2_tdlat_3(B) -> v1_tex_4(C,A)))))))) # label(t68_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13036 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_tarski(k1_struct_0(A,B),k5_setfam_1(u1_struct_0(A),k1_tex_4(A,B))))))) # label(t14_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13037 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> k6_pre_topc(A,k1_struct_0(A,C)) = k6_pre_topc(A,k1_struct_0(A,D))))))) <-> v1_tex_4(B,A)))))) # label(d14_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13038 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_tarski(k2_tex_4(A,B),k6_pre_topc(A,k1_struct_0(A,B))))))) # label(t50_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13039 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v4_tex_4(B,A) <-> (all C (m1_pre_topc(C,A) -> (v2_tdlat_3(C) & r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> u1_struct_0(C) = u1_struct_0(B)))) & v2_tdlat_3(B)))))) # label(d16_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13040 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_pre_topc(C,A) & v1_pre_topc(C) -> (u1_struct_0(C) = k3_tex_4(A,B) <-> C = k7_tex_4(A,B)))))))) # label(d19_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13041 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k7_tex_4(A,C)))) -> m1_pre_topc(k7_tex_4(A,B),k7_tex_4(A,C))))))))) # label(t88_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13042 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & r1_xboole_0(D,k4_tex_4(A,B)) & r1_tarski(k4_tex_4(A,C),D)))) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_xboole_0(D,k4_tex_4(A,C)) & r1_tarski(k4_tex_4(A,B),D) & v3_pre_topc(D,A))))) <-> r1_subset_1(k4_tex_4(A,B),k4_tex_4(A,C))))))))) # label(t55_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13043 (all A all B (l1_pre_topc(A) & -v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v2_pre_topc(A) & -v3_struct_0(A) -> v3_pre_topc(k1_tops_1(A,B),A) & -v1_tex_2(k1_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(k1_tops_1(A,B)))) # label(fc5_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13044 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (m1_subset_1(C,u1_struct_0(k5_tex_4(A,B))) <-> g1_pre_topc(u1_struct_0(k5_tex_4(A,C)),u1_pre_topc(k5_tex_4(A,C))) = g1_pre_topc(u1_struct_0(k5_tex_4(A,B)),u1_pre_topc(k5_tex_4(A,B)))))))))) # label(t76_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13045 (all A all B all C (v2_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_pre_topc(B) & -v3_struct_0(B) -> ((exists D (v3_pre_topc(D,B) & r1_tarski(D,C) & A = D & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))) <-> r2_hidden(A,a_2_2_tex_4(B,C))))) # label(fraenkel_a_2_2_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13046 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) & -v3_struct_0(A) -> -v3_struct_0(k5_tex_4(A,B)) & v1_pre_topc(k5_tex_4(A,B)))) # label(fc14_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13047 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_tex_4(A,B) = a_2_3_tex_4(A,B))))) # label(d6_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13048 (all A all B (l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k1_tex_4(A,B),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_k1_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13049 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_tdlat_3(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & v1_borsuk_1(C,A) -> m1_pre_topc(B,C) | r1_tsep_1(A,B,C))))))) # label(t73_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13050 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v2_tdlat_3(B) & v1_borsuk_1(B,A) -> v2_pre_topc(B) & v2_tdlat_3(B) & v4_tex_4(B,A) & v3_tdlat_3(B) & -v3_struct_0(B)))))) # label(cc6_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13051 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_tex_4(k1_struct_0(A,B),A))))) # label(t8_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13052 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> v4_pre_topc(k6_pre_topc(A,B),A) & -v1_xboole_0(k6_pre_topc(A,B)))) # label(fc1_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13053 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (v3_pre_topc(B,A) & r2_hidden(C,B) -> r1_tarski(k2_tex_4(A,C),B)))))))) # label(t26_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13054 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k3_tex_4(A,B) = k3_tex_4(A,k3_tex_4(A,B)))))) # label(t35_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13055 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(k6_pre_topc(A,k1_struct_0(A,B)),C) & v1_tex_4(C,A) -> k6_pre_topc(A,k1_struct_0(A,B)) = C))))))) # label(t44_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13056 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(A,B) = k6_pre_topc(A,k3_tex_4(A,B)))))) # label(t64_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13057 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) & v4_pre_topc(B,A) -> r1_tarski(k2_tex_4(A,C),B)))))))) # label(t25_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13058 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> g1_pre_topc(u1_struct_0(k5_tex_4(A,B)),u1_pre_topc(k5_tex_4(A,B))) = g1_pre_topc(u1_struct_0(k7_tex_4(A,k1_struct_0(A,B))),u1_pre_topc(k7_tex_4(A,k1_struct_0(A,B)))))))) # label(t85_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13059 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k1_struct_0(A,B) = k6_setfam_1(u1_struct_0(A),k1_tex_4(A,B)))))) # label(t13_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13060 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v1_tsep_1(B,A) & -v4_tex_4(B,A) -> -v3_struct_0(B) & v2_pre_topc(B) & -v4_tex_4(B,A) & -v2_tdlat_3(B) & -v3_realset2(B)))))) # label(cc4_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13061 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_tarski(k1_setfam_1(a_2_9_tex_4(A,C)),k1_setfam_1(a_2_9_tex_4(A,B))) <-> r1_tarski(k6_pre_topc(A,k1_struct_0(A,B)),k6_pre_topc(A,k1_struct_0(A,C)))))))))) # label(t53_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13062 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v1_borsuk_1(B,A) & m1_pre_topc(B,A) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> m1_pre_topc(k7_tex_4(A,C),B)))))))) # label(t91_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13063 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) & -v3_struct_0(A) -> -v1_xboole_0(k1_tex_4(A,B)))) # label(fc8_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13064 (all A all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l1_pre_topc(A) & -v3_struct_0(A) -> -v3_struct_0(k7_tex_4(A,B)) & v1_pre_topc(k7_tex_4(A,B)))) # label(fc19_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13065 (all A all B (-v3_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & l1_pre_topc(A) -> m1_subset_1(k3_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k3_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13066 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k6_pre_topc(A,B) = k3_tex_4(A,k6_pre_topc(A,B)))))) # label(t63_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13067 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) -> v1_tex_4(B,A))))) # label(t9_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13068 (all A all B all C (-v3_struct_0(B) & v2_pre_topc(B) & l1_pre_topc(B) & m1_subset_1(C,u1_struct_0(B)) -> (r2_hidden(A,a_2_1_tex_4(B,C)) <-> (exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & A = D & v4_pre_topc(D,B) & r2_hidden(C,D)))))) # label(fraenkel_a_2_1_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13069 (all A all B all C (l1_pre_topc(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & v2_pre_topc(B) & -v3_struct_0(B) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & r1_tarski(C,D) & v3_pre_topc(D,B) & D = A)) <-> r2_hidden(A,a_2_10_tex_4(B,C))))) # label(fraenkel_a_2_10_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13070 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_tdlat_3(B) & m1_pre_topc(B,A) -> (all C (m1_pre_topc(C,A) & v1_tsep_1(C,A) -> r1_tsep_1(A,B,C) | m1_pre_topc(B,C))))))) # label(t72_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13071 (all A all B (l1_pre_topc(A) & m1_subset_1(B,u1_struct_0(A)) & -v3_struct_0(A) -> -v1_xboole_0(k2_tex_4(A,B)))) # label(fc9_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13072 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v2_tex_4(k1_tex_4(A,B),A))))) # label(t12_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13073 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tex_4(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(C,A) & -r1_tarski(B,C) & -r1_xboole_0(B,C))))))))) # label(d4_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13074 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_subset_1(k4_tex_4(A,B),k4_tex_4(A,C)) <-> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_xboole_0(D,k4_tex_4(A,C)) & r1_tarski(k4_tex_4(A,B),D) & v4_pre_topc(D,A)))) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r1_xboole_0(D,k4_tex_4(A,B)) & r1_tarski(k4_tex_4(A,C),D) & v4_pre_topc(D,A)))))))))))) # label(t56_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13075 (all A all B (m1_subset_1(B,u1_struct_0(A)) & l1_pre_topc(A) -> m1_subset_1(k2_tex_4(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k2_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13076 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & v1_pre_topc(B) & v2_pre_topc(B) & v2_tdlat_3(B) & v4_tex_4(B,A) & v3_tdlat_3(B))))) # label(rc1_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13077 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) & -v3_struct_0(B) -> ((all C (m1_pre_topc(C,A) & v1_borsuk_1(C,A) -> r1_tsep_1(A,B,C) | m1_pre_topc(B,C))) -> v2_tdlat_3(B)))))) # label(t71_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13078 (all A all B (-v3_struct_0(A) & l1_pre_topc(A) & -v1_xboole_0(B) & -v1_realset1(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v3_realset2(A) -> v1_pre_topc(k6_tex_4(A,B)) & -v3_realset2(k6_tex_4(A,B)) & -v3_struct_0(k6_tex_4(A,B)))) # label(fc17_tex_4) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13079 (all A (l1_pre_topc(A) -> (v2_t_0topsp(A) <-> v3_struct_0(A) | (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(D,A) & -r2_hidden(B,D) & r2_hidden(C,D)))) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(B,D) & -r2_hidden(C,D) & v4_pre_topc(D,A)))) & B != C)))))))) # label(d4_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13080 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(B != C & r1_tarski(k6_pre_topc(A,k1_struct_0(A,C)),k6_pre_topc(A,k1_struct_0(A,B))) & r2_hidden(B,k6_pre_topc(A,k1_struct_0(A,C)))))))) <-> v2_t_0topsp(A)))) # label(d7_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13081 (all A (l1_pre_topc(A) -> (-v3_struct_0(A) & v3_realset2(A) -> -v3_struct_0(A) & v2_t_0topsp(A)))) # label(cc1_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13082 (all A (l1_pre_topc(A) -> (-v3_struct_0(A) & v2_tdlat_3(A) & v2_pre_topc(A) & -v3_realset2(A) -> -v3_struct_0(A) & v2_pre_topc(A) & -v2_t_0topsp(A) & -v3_realset2(A)))) # label(cc5_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13083 (all A (l1_pre_topc(A) -> (-v3_struct_0(A) & v1_tdlat_3(A) & v2_pre_topc(A) -> -v3_struct_0(A) & v2_pre_topc(A) & v2_t_0topsp(A)))) # label(cc3_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13084 (all A (l1_pre_topc(A) -> (-v3_struct_0(A) & v3_tdlat_3(A) & -v1_tdlat_3(A) & v2_pre_topc(A) -> -v3_realset2(A) & -v1_tdlat_3(A) & -v2_t_0topsp(A) & v2_pre_topc(A) & -v3_struct_0(A)))) # label(cc9_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13085 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v2_t_0topsp(A) & -v3_struct_0(A) -> (exists B (m1_pre_topc(B,A) & -v2_t_0topsp(B) & v1_pre_topc(B))))) # label(rc7_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13086 (all A (-v3_realset2(A) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (exists B (-v3_struct_0(B) & v1_pre_topc(B) & v2_tex_2(B,A) & v2_t_0topsp(B) & m1_pre_topc(B,A))))) # label(rc6_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13087 (all A (l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) -> l1_pre_topc(B))))) # label(dt_m2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13088 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_xboole_0(B) -> v1_tsp_1(B,A))))) # label(t13_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13089 (exists A (l1_pre_topc(A) & -v3_struct_0(A) & -v2_t_0topsp(A) & -v1_tdlat_3(A) & v2_pre_topc(A) & v1_pre_topc(A) & -v3_realset2(A))) # label(rc4_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13090 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (v4_pre_topc(C,B) <-> (exists D (k3_xboole_0(D,u1_struct_0(B)) = C & v4_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))))))) & r1_tarski(u1_struct_0(B),u1_struct_0(A)) <-> m2_tsp_1(B,A)))))) # label(d2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13091 (all A (l1_pre_topc(A) -> (all B (m1_tsp_1(B,A) -> l1_pre_topc(B))))) # label(dt_m1_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13092 (all A all B (l1_pre_topc(A) & m1_pre_topc(B,A) -> (v2_t_0topsp(B) <-> v3_tsp_1(B,A)))) # label(redefinition_v3_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13093 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(A) = B -> (v2_t_0topsp(A) <-> v1_tsp_1(B,A))))))) # label(t6_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13094 (all A (l1_pre_topc(A) -> (-v3_struct_0(A) & v2_pre_topc(A) & -v2_t_0topsp(A) -> -v3_struct_0(A) & -v3_realset2(A) & v2_pre_topc(A) & -v1_tdlat_3(A)))) # label(cc4_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13095 (all A (-v3_struct_0(A) & v2_pre_topc(A) & -v2_t_0topsp(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v2_t_0topsp(B) -> v2_tex_2(B,A) & -v3_struct_0(B)))))) # label(cc13_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13096 (all A (l1_pre_topc(A) & -v2_t_0topsp(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & -v2_tex_2(B,A) -> -v3_struct_0(B) & -v2_t_0topsp(B) & -v3_realset2(B)))))) # label(cc12_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13097 (all A (l1_pre_topc(A) -> (-v3_struct_0(A) & -v2_t_0topsp(A) -> -v3_struct_0(A) & -v3_realset2(A)))) # label(cc2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13098 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(r2_hidden(C,k6_pre_topc(A,k1_struct_0(A,D))) & r1_tarski(k6_pre_topc(A,k1_struct_0(A,D)),k6_pre_topc(A,k1_struct_0(A,C))) & D != C & r2_hidden(D,B) & r2_hidden(C,B)))))) <-> v1_tsp_1(B,A)))))) # label(d12_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13099 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m2_tsp_1(B,A) -> (all C (-v3_struct_0(C) & v2_t_0topsp(C) & m2_tsp_1(C,A) -> (m2_tsp_1(B,C) -> v2_t_0topsp(B)))))))) # label(t16_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13100 (exists A (-v2_tdlat_3(A) & v2_t_0topsp(A) & v2_pre_topc(A) & v1_pre_topc(A) & -v3_realset2(A) & -v3_struct_0(A) & l1_pre_topc(A))) # label(rc3_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13101 (all A (l1_pre_topc(A) -> (v2_t_0topsp(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(B != C & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(D,A) & -r2_hidden(B,D) & r2_hidden(C,D)))) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(-r2_hidden(C,D) & r2_hidden(B,D) & v3_pre_topc(D,A))))))))) | v3_struct_0(A)))) # label(d3_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13102 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (exists B (-v3_struct_0(B) & v1_pre_topc(B) & v2_t_0topsp(B) & m1_pre_topc(B,A))))) # label(rc5_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13103 (exists A (v2_pre_topc(A) & v2_t_0topsp(A) & v1_pre_topc(A) & -v3_struct_0(A) & l1_pre_topc(A))) # label(rc1_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13104 (all A (l1_pre_topc(A) -> (-v3_struct_0(A) & v2_pre_topc(A) & v3_tdlat_3(A) & v2_t_0topsp(A) -> v2_pre_topc(A) & v1_tdlat_3(A) & v2_t_0topsp(A) & v5_tdlat_3(A) & v4_tdlat_3(A) & v3_tdlat_3(A) & -v3_struct_0(A)))) # label(cc8_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13105 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_1(B,A) & r1_tarski(C,B) -> v1_tsp_1(C,A)))))))) # label(t7_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13106 $T # label(t3_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13107 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(v1_tex_4(B,A) & -v1_realset1(B) & v1_tsp_1(B,A)))))) # label(t12_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13108 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & D = C & v1_tsp_1(C,A) -> v1_tsp_1(D,B)))))))))) # label(t5_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13109 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m2_tsp_1(B,A) & v2_t_0topsp(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m2_tsp_1(C,A) -> (-r1_tsep_1(A,B,C) -> v2_t_0topsp(k2_tsep_1(A,B,C))))))))) # label(t17_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13110 (all A (l1_pre_topc(A) -> (all B (m1_tsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> -(v3_pre_topc(D,B) & k3_xboole_0(C,u1_struct_0(B)) = D))) & v3_pre_topc(C,A)))))))) # label(t2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13111 (all A (l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(C,A) & (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> -(v4_pre_topc(D,B) & D = k3_xboole_0(C,u1_struct_0(B)))))))))))) # label(t4_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13112 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(r2_hidden(C,B) & C != D & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(D,E) & -r2_hidden(C,E) & v4_pre_topc(E,A)))) & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(E,A) & r2_hidden(C,E) & -r2_hidden(D,E)))) & r2_hidden(D,B)))))) <-> v1_tsp_1(B,A)))))) # label(d9_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13113 (all A (l1_pre_topc(A) -> (-v3_struct_0(A) & v2_pre_topc(A) & v2_t_0topsp(A) & -v1_tdlat_3(A) -> -v3_struct_0(A) & -v3_realset2(A) & v2_pre_topc(A) & -v1_tdlat_3(A) & -v2_tdlat_3(A) & -v3_tdlat_3(A)))) # label(cc10_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13114 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(r2_hidden(C,B) & D != C & r2_hidden(C,k6_pre_topc(A,k1_struct_0(A,D))) & r2_hidden(D,k6_pre_topc(A,k1_struct_0(A,C))) & r2_hidden(D,B))))))))))) # label(d11_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13115 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_1(C,A) & v1_tsp_1(B,A) -> v1_tsp_1(k4_subset_1(u1_struct_0(A),B,C),A) | -v4_pre_topc(C,A) & -v4_pre_topc(B,A)))))))) # label(t10_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13116 (all A (l1_pre_topc(A) & v2_t_0topsp(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) -> v2_t_0topsp(B) & -v3_struct_0(B)))))) # label(cc11_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13117 (exists A (v1_pre_topc(A) & v2_pre_topc(A) & -v2_t_0topsp(A) & -v3_realset2(A) & -v3_struct_0(A) & l1_pre_topc(A))) # label(rc2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13118 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m2_tsp_1(B,A) & v2_t_0topsp(B) & -v3_struct_0(B) -> (all C (-v3_struct_0(C) & m2_tsp_1(C,A) & v2_t_0topsp(C) -> (v1_tsep_1(B,A) | v1_tsep_1(C,A) -> v2_t_0topsp(k1_tsep_1(A,B,C))))))))) # label(t18_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13119 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) <-> m1_tsp_1(B,A))))) # label(redefinition_m1_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13120 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v2_t_0topsp(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -(-v1_tsp_1(B,A) & (all C (v1_pre_topc(C) & -v2_t_0topsp(C) & m2_tsp_1(C,A) -> u1_struct_0(C) != B))))))) # label(t21_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13121 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_1(B,A) | v1_tsp_1(C,A) -> v1_tsp_1(k5_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t8_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13122 (all A (l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) <-> m2_tsp_1(B,A))))) # label(redefinition_m2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13123 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(k6_pre_topc(A,k1_struct_0(A,C)) = k6_pre_topc(A,k1_struct_0(A,D)) & D != C & r2_hidden(D,B) & r2_hidden(C,B))))))))))) # label(d10_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13124 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m2_tsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> (v2_t_0topsp(B) <-> v1_tsp_1(C,A))))))))) # label(t15_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13125 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_tsp_1(k1_struct_0(A,B),A))))) # label(t14_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13126 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> -(v1_tsp_1(B,A) & (all C (v2_t_0topsp(C) & m2_tsp_1(C,A) & v1_pre_topc(C) & -v3_struct_0(C) -> B != u1_struct_0(C)))))))) # label(t20_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13127 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(r2_hidden(C,k6_pre_topc(A,k1_struct_0(A,B))) & r2_hidden(B,k6_pre_topc(A,k1_struct_0(A,C))) & C != B))))) <-> v2_t_0topsp(A)))) # label(d6_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13128 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(r2_hidden(D,B) & C != D & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(C,E) & -r2_hidden(D,E) & v3_pre_topc(E,A)))) & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(D,E) & -r2_hidden(C,E) & v3_pre_topc(E,A)))) & r2_hidden(C,B))))))))))) # label(d8_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13129 (all A (l1_pre_topc(A) -> (-v3_struct_0(A) & v2_t_0topsp(A) & v2_tdlat_3(A) & v2_pre_topc(A) -> v2_pre_topc(A) & v1_tdlat_3(A) & v3_tdlat_3(A) & v5_tdlat_3(A) & v2_t_0topsp(A) & v4_tdlat_3(A) & v2_tdlat_3(A) & v3_realset2(A) & -v3_struct_0(A)))) # label(cc6_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13130 $T # label(t1_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13131 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> ((all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(C != B & k6_pre_topc(A,k1_struct_0(A,C)) = k6_pre_topc(A,k1_struct_0(A,B))))))) <-> v2_t_0topsp(A)))) # label(d5_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13132 (all A (l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) -> (v2_t_0topsp(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,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_pre_topc(E,A) & r2_hidden(C,E) & -r2_hidden(D,E)))) & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(-r2_hidden(C,E) & r2_hidden(D,E) & v3_pre_topc(E,A)))) & C != D & m1_subset_1(D,u1_struct_0(B)) & m1_subset_1(C,u1_struct_0(B)))))))))))) # label(d13_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.26 13133 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_t_0topsp(B) & m2_tsp_1(B,A) & -v3_struct_0(B) -> (all C (v2_t_0topsp(C) & m2_tsp_1(C,A) & -v3_struct_0(C) -> (v1_borsuk_1(B,A) | v1_borsuk_1(C,A) -> v2_t_0topsp(k1_tsep_1(A,B,C))))))))) # label(t19_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13134 (all A (l1_pre_topc(A) -> (exists B m2_tsp_1(B,A)))) # label(existence_m2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13135 (all A (l1_pre_topc(A) -> (-v3_struct_0(A) & v2_pre_topc(A) & v2_t_0topsp(A) & -v3_realset2(A) -> v2_pre_topc(A) & -v2_tdlat_3(A) & -v3_realset2(A) & -v3_struct_0(A)))) # label(cc7_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13136 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v3_tex_2(B,A) -> v1_tsp_1(B,A)))))) # label(t11_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13137 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_1(B,A) & v1_tsp_1(C,A) -> -v3_pre_topc(C,A) & -v3_pre_topc(B,A) | v1_tsp_1(k4_subset_1(u1_struct_0(A),B,C),A)))))))) # label(t9_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13138 (all A (l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) -> (v2_t_0topsp(B) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> -(m1_subset_1(C,u1_struct_0(B)) & D != C & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(C,E) & -r2_hidden(D,E) & v4_pre_topc(E,A)))) & (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> -(v4_pre_topc(E,A) & r2_hidden(D,E) & -r2_hidden(C,E)))) & m1_subset_1(D,u1_struct_0(B))))))) | v3_struct_0(B)))))) # label(d14_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13139 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> ((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> ((exists D (C = k3_xboole_0(D,u1_struct_0(B)) & v3_pre_topc(D,A) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))))) <-> v3_pre_topc(C,B)))) & r1_tarski(u1_struct_0(B),u1_struct_0(A)) <-> m1_tsp_1(B,A)))))) # label(d1_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13140 (all A all B (m1_pre_topc(B,A) & l1_pre_topc(A) -> (v2_t_0topsp(B) <-> v2_tsp_1(B,A)))) # label(redefinition_v2_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13141 (all A (l1_pre_topc(A) -> (exists B m1_tsp_1(B,A)))) # label(existence_m1_tsp_1) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13142 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & m2_tsp_1(B,A) & v2_t_0topsp(B) -> (exists C (v1_pre_topc(C) & v2_tsp_2(C,A) & m2_tsp_1(B,C) & m2_tsp_1(C,A))))))) # label(t13_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13143 (all A all B (-v3_struct_0(A) & m1_pre_topc(B,A) & v2_tsp_2(B,A) & -v3_struct_0(B) & l1_pre_topc(A) & v2_pre_topc(A) -> v1_funct_2(k3_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(k3_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k3_tsp_2(A,B),A,B) & v1_funct_1(k3_tsp_2(A,B)))) # label(dt_k3_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13144 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_tsp_2(B,A) & v2_tex_2(B,A) -> v2_pre_topc(B) & -v1_tsep_1(B,A)))))) # label(cc7_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13145 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -v1_tsp_2(B,A))))) # label(t4_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13146 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_2(B,A) -> v1_tops_1(B,A)))))) # label(t2_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13147 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -(v1_tsp_2(C,A) & r1_tarski(B,C)))) & v1_tsp_1(B,A)))))) # label(t9_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13148 (all A (l1_pre_topc(A) -> (all B (l1_pre_topc(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B)) & D = C & v1_tsp_2(C,A) -> v1_tsp_2(D,B)))))))))) # label(t1_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13149 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) & v2_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D -> (v3_pre_topc(D,B) <-> k3_xboole_0(k3_tex_4(A,C),u1_struct_0(B)) = D & v3_pre_topc(k3_tex_4(A,C),A))))))))))) # label(t14_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13150 (all A all B (v2_pre_topc(A) & -v3_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) & l1_pre_topc(A) & -v3_struct_0(A) -> v1_funct_2(k1_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k1_tsp_2(A,B),A,B) & m2_relset_1(k1_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(k1_tsp_2(A,B)))) # label(dt_k1_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13151 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_tsp_2(B,A) & m2_tsp_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (D = C -> k5_pre_topc(A,B,k1_tsp_2(A,B),k1_struct_0(B,D)) = k4_tex_4(A,C)))))))))) # label(t25_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13152 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -((v3_pre_topc(B,A) | v4_pre_topc(B,A)) & v1_tsp_2(B,A) & v1_tex_2(B,k1_zfmisc_1(u1_struct_0(A)))))))) # label(t3_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13153 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_tsp_2(B,A) & v2_tex_2(B,A) -> -v1_borsuk_1(B,A) & v2_pre_topc(B)))))) # label(cc10_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13154 (all A all B (-v3_struct_0(A) & v2_pre_topc(A) & m1_pre_topc(B,A) & v2_tsp_2(B,A) & -v3_struct_0(B) & l1_pre_topc(A) -> k4_tsp_2(A,B) = k1_tsp_2(A,B))) # label(redefinition_k4_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13155 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m2_tsp_1(B,A) & v2_tsp_2(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (C = D -> k5_pre_topc(A,B,k1_tsp_2(A,B),D) = k3_tex_4(A,C)))))))))) # label(t26_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13156 (all A (l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_2(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(B,C) & v1_tsp_1(C,A) -> B = C))) & v1_tsp_1(B,A)))))) # label(d4_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13157 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> -((all C (-v3_struct_0(C) & v1_pre_topc(C) & m2_tsp_1(C,A) -> -(u1_struct_0(C) = B & v2_tsp_2(C,A)))) & v1_tsp_2(B,A)))))) # label(t12_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13158 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m2_tsp_1(B,A) & -v3_struct_0(B) -> ((all C (-v3_struct_0(C) & v2_t_0topsp(C) & m2_tsp_1(C,A) -> (m2_tsp_1(B,C) -> g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))))) & v2_t_0topsp(B) <-> v2_tsp_2(B,A)))))) # label(d8_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13159 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & -v2_t_0topsp(B) -> -v2_tsp_2(B,A) & -v3_struct_0(B)))))) # label(cc2_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13160 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_2(B,A) & v1_borsuk_1(B,A) -> v2_pre_topc(B) & -v2_tsp_2(B,A)))))) # label(cc9_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13161 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k5_pre_topc(A,B,k4_tsp_2(A,B),k4_pre_topc(A,B,k4_tsp_2(A,B),C)) = k3_tex_4(A,C))))))) # label(t29_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13162 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m2_tsp_1(B,A) & v2_tsp_2(B,A) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (k3_tsp_2(A,B) = C <-> (all D (m1_subset_1(D,u1_struct_0(A)) -> r2_hidden(k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k4_tex_4(A,D))))))))))) # label(d11_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13163 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (-v3_struct_0(B) & v2_tsp_2(B,A) -> v2_t_0topsp(B) & -v3_struct_0(B)))))) # label(cc1_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13164 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m2_tsp_1(B,A) & v2_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) -> v4_pre_topc(k4_pre_topc(A,B,k4_tsp_2(A,B),C),B)))))))) # label(t35_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13165 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_tsp_2(B,A) & m2_tsp_1(B,A) -> (all C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = D & (all E (m1_subset_1(E,u1_struct_0(A)) -> k1_struct_0(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)) = k5_subset_1(u1_struct_0(A),D,k4_tex_4(A,E)))) -> v1_funct_1(C) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))))))))))) # label(t18_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13166 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> -((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(v3_tex_4(D,A) & k5_subset_1(u1_struct_0(A),B,D) = k1_struct_0(A,C)))) & r2_hidden(C,B)))) <-> v1_tsp_1(B,A)))))) # label(d3_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13167 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_tsp_2(B,A) & m2_tsp_1(B,A) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> ((all E (m1_subset_1(E,u1_struct_0(A)) -> k5_subset_1(u1_struct_0(A),D,k4_tex_4(A,E)) = k1_struct_0(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E)))) & u1_struct_0(B) = D -> v3_borsuk_1(C,A,B)))))))))) # label(t20_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13168 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_2(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (exists D (m1_subset_1(D,u1_struct_0(A)) & r2_hidden(D,B) & k5_subset_1(u1_struct_0(A),B,k4_tex_4(A,C)) = k1_struct_0(A,D)))))))))) # label(d6_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13169 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tex_2(B,A) & v1_tsep_1(B,A) -> -v2_tsp_2(B,A) & v2_pre_topc(B)))))) # label(cc6_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13170 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_pre_topc(B,A) -> (v2_tsp_2(B,A) & v1_borsuk_1(B,A) -> -v2_tex_2(B,A) & v2_pre_topc(B)))))) # label(cc8_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13171 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (-v1_tex_3(B,A) -> -v2_tsp_2(B,A) & v2_pre_topc(B)))))) # label(cc4_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13172 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_tsp_2(B,A))))) # label(t10_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13173 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> C = D | r1_subset_1(k4_tex_4(A,C),k4_tex_4(A,D)))))))))))) # label(d1_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13174 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (-v3_struct_0(B) & v1_pre_topc(B) & v2_t_0topsp(B) & v2_tsp_2(B,A) & v1_tex_3(B,A) & v2_pre_topc(B) & m1_pre_topc(B,A))))) # label(rc1_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13175 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_tsp_2(B,A) & m2_tsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) -> v3_pre_topc(k4_pre_topc(A,B,k4_tsp_2(A,B),C),B)))))))) # label(t34_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13176 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (D = C -> k5_pre_topc(A,B,k1_tsp_2(A,B),k6_pre_topc(B,k1_struct_0(B,D))) = k6_pre_topc(A,k1_struct_0(A,C))))))))))) # label(t24_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13177 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) <-> (exists D (v4_pre_topc(D,B) & D = k3_xboole_0(C,u1_struct_0(B)) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))))) & k3_tex_4(A,C) = C))))))) # label(t17_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13178 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (k4_tsp_2(A,B) = C <-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = D -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) -> k4_pre_topc(A,B,C,E) = k5_subset_1(u1_struct_0(A),D,k3_tex_4(A,E)))))))))))))) # label(d12_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13179 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tsp_2(B,A) & v1_tsep_1(B,A) -> -v2_tex_2(B,A) & v2_pre_topc(B)))))) # label(cc5_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13180 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(D,A) | v3_pre_topc(C,A) -> k5_subset_1(u1_struct_0(B),k4_pre_topc(A,B,k4_tsp_2(A,B),C),k4_pre_topc(A,B,k4_tsp_2(A,B),D)) = k4_pre_topc(A,B,k4_tsp_2(A,B),k5_subset_1(u1_struct_0(A),C,D))))))))))) # label(t32_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13181 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> ((exists D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & k3_xboole_0(C,u1_struct_0(B)) = D & v3_pre_topc(D,B))) & C = k3_tex_4(A,C) <-> v3_pre_topc(C,A)))))))) # label(t15_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13182 (all A all B (l1_pre_topc(A) & -v3_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) & v2_pre_topc(A) & -v3_struct_0(A) -> v1_funct_1(k2_tsp_2(A,B)) & v5_pre_topc(k2_tsp_2(A,B),A,B) & m2_relset_1(k2_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(k2_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)))) # label(dt_k2_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13183 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_tsp_2(B,A) & m2_tsp_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k4_pre_topc(A,B,k3_tsp_2(A,B),k1_struct_0(A,C)) = k4_pre_topc(A,B,k3_tsp_2(A,B),k4_tex_4(A,C)))))))) # label(t28_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13184 (all A (l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m2_tsp_1(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = u1_struct_0(B) -> (v1_tsp_2(C,A) <-> v2_tsp_2(B,A))))))))) # label(t11_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13185 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) & v2_tsp_2(B,A) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) -> (k1_tsp_2(A,B) = C <-> v3_borsuk_1(C,A,B)))))))) # label(d9_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13186 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_2(B,A) <-> v1_tsp_1(B,A) & k3_tex_4(A,B) = u1_struct_0(A)))))) # label(d5_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13187 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m2_tsp_1(B,A) & v2_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> k4_subset_1(u1_struct_0(B),k4_pre_topc(A,B,k4_tsp_2(A,B),C),k4_pre_topc(A,B,k4_tsp_2(A,B),D)) = k4_pre_topc(A,B,k4_tsp_2(A,B),k4_subset_1(u1_struct_0(A),C,D)))))))))) # label(t31_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13188 (all A all B (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(B) & v2_tsp_2(B,A) & m1_pre_topc(B,A) & -v3_struct_0(A) -> v1_funct_1(k4_tsp_2(A,B)) & v1_funct_2(k4_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(k4_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(k4_tsp_2(A,B),A,B))) # label(dt_k4_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13189 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_1(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) -> k5_subset_1(u1_struct_0(A),B,k4_tex_4(A,C)) = k1_struct_0(A,C))))))))) # label(d2_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13190 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k1_tops_1(A,C))) = k1_tops_1(A,C)))))))) # label(t8_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13191 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & m2_tsp_1(B,A) & v2_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(D,A) | v4_pre_topc(C,A) -> k5_subset_1(u1_struct_0(B),k4_pre_topc(A,B,k4_tsp_2(A,B),C),k4_pre_topc(A,B,k4_tsp_2(A,B),D)) = k4_pre_topc(A,B,k4_tsp_2(A,B),k5_subset_1(u1_struct_0(A),C,D))))))))))) # label(t33_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13192 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_tsp_2(B,A) & m2_tsp_1(B,A) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> r2_hidden(k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k4_tex_4(A,D)))) -> v1_funct_1(C) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))))))))) # label(t19_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13193 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) & v2_tsp_2(B,A) & -v3_struct_0(B) -> (exists C (v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & v3_borsuk_1(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_1(C))))))) # label(t22_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13194 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & m2_tsp_1(B,A) & v2_tsp_2(B,A) -> r1_borsuk_1(A,B))))) # label(t23_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13195 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) & -v3_struct_0(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k4_pre_topc(A,B,k4_tsp_2(A,B),k3_tex_4(A,C)) = k4_pre_topc(A,B,k4_tsp_2(A,B),C))))))) # label(t30_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13196 (all A all B (m1_pre_topc(B,A) & v2_tsp_2(B,A) & -v3_struct_0(B) & l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> k2_tsp_2(A,B) = k1_tsp_2(A,B))) # label(redefinition_k2_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13197 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_pre_topc(B,A) -> (v2_tsp_2(B,A) -> v1_tex_3(B,A) & v2_pre_topc(B)))))) # label(cc3_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13198 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v3_pre_topc(C,A) -> k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) = C)))))))) # label(t6_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13199 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (-v3_struct_0(B) & v2_tsp_2(B,A) & m2_tsp_1(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k5_pre_topc(A,B,k3_tsp_2(A,B),k1_struct_0(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),k3_tsp_2(A,B),C))) = k4_tex_4(A,C))))))) # label(t27_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13200 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (v2_tsp_2(B,A) & m2_tsp_1(B,A) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v5_pre_topc(C,A,B) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> ((all D (m1_subset_1(D,u1_struct_0(A)) -> r2_hidden(k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,D),k4_tex_4(A,D)))) -> v3_borsuk_1(C,A,B)))))))) # label(t21_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13201 (all A (-v3_struct_0(A) & l1_pre_topc(A) & v2_pre_topc(A) -> (all B (m2_tsp_1(B,A) & v2_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (D = C -> (v4_pre_topc(D,B) <-> k3_xboole_0(k3_tex_4(A,C),u1_struct_0(B)) = D & v4_pre_topc(k3_tex_4(A,C),A))))))))))) # label(t16_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13202 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) & v2_tsp_2(B,A) & -v3_struct_0(B) -> (all C (v1_funct_1(C) & v5_pre_topc(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) -> ((all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = D -> (all E (m1_subset_1(E,u1_struct_0(A)) -> k5_subset_1(u1_struct_0(A),D,k4_tex_4(A,E)) = k1_struct_0(B,k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,E))))))) <-> C = k2_tsp_2(A,B)))))))) # label(d10_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13203 (all A (-v3_struct_0(A) & l1_pre_topc(A) -> (all B (m2_tsp_1(B,A) -> (v2_tsp_2(B,A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (u1_struct_0(B) = C -> v1_tsp_2(C,A))))))))) # label(d7_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13204 (all A all B (v2_pre_topc(A) & m1_pre_topc(B,A) & v2_tsp_2(B,A) & -v3_struct_0(B) & l1_pre_topc(A) & -v3_struct_0(A) -> k1_tsp_2(A,B) = k3_tsp_2(A,B))) # label(redefinition_k3_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13205 (all A (v2_pre_topc(A) & l1_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,k6_pre_topc(A,C))) = k6_pre_topc(A,C)))))))) # label(t7_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13206 (all A (l1_pre_topc(A) & v2_pre_topc(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (v1_tsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (v4_pre_topc(C,A) -> k3_tex_4(A,k5_subset_1(u1_struct_0(A),B,C)) = C)))))))) # label(t5_tsp_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13207 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> (r3_lattices(A,B,C) -> r3_lattices(k1_lattice2(A),k5_filter_2(A,C),k5_filter_2(A,B))) & (r3_lattices(k1_lattice2(A),D,E) -> r3_lattices(A,k6_filter_2(A,E),k6_filter_2(A,D))) & (r3_lattices(A,k6_filter_2(A,E),k6_filter_2(A,D)) -> r3_lattices(k1_lattice2(A),D,E)) & (r3_lattices(k1_lattice2(A),k5_filter_2(A,C),k5_filter_2(A,B)) -> r3_lattices(A,B,C)))))))))))) # label(t20_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13208 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(k18_filter_2(A,B) = u1_struct_0(A) & -(all C (m1_subset_1(C,u1_struct_0(A)) -> B = k3_lattices(A,B,C)))))))) # label(t35_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13209 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> k3_filter_2(A,B) = k3_filter_0(A,B))) # label(redefinition_k3_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13210 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(k6_lattices(A) != B & (all C (m2_filter_2(C,A) -> -(r2_hidden(B,C) & r2_filter_2(A,C)))) & v14_lattices(A)))))) # label(t36_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13211 (all A all B (m1_filter_0(B,k1_lattice2(A)) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m2_filter_2(k14_filter_2(A,B),A))) # label(dt_k14_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13212 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m2_filter_2(B,A) -> (v2_filter_0(k15_filter_2(A,B),k1_lattice2(A)) <-> v1_filter_2(B,A)))))) # label(t44_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13213 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) & -v1_xboole_0(D) -> (C = D & g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> k19_filter_2(A,C) = k19_filter_2(B,D) & k3_filter_2(A,C) = k3_filter_2(B,D)))))))))) # label(l48_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13214 (all A all B (m2_lattice4(B,A) & -v1_xboole_0(B) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> -v3_struct_0(k23_filter_2(A,B)) & v3_lattices(k23_filter_2(A,B)) & v4_lattices(k23_filter_2(A,B)) & v5_lattices(k23_filter_2(A,B)) & v6_lattices(k23_filter_2(A,B)) & v7_lattices(k23_filter_2(A,B)) & v8_lattices(k23_filter_2(A,B)) & v10_lattices(k23_filter_2(A,B)) & v9_lattices(k23_filter_2(A,B)))) # label(fc5_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13215 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (v13_lattices(A) -> r2_hidden(k5_lattices(A),B)))))) # label(t25_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13216 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (r1_filter_2(u1_struct_0(A),C,k6_domain_1(u1_struct_0(A),B)) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,C),k18_filter_2(A,B))))))))) # label(t41_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13217 (all A all B (-v3_struct_0(A) & v10_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & l3_lattices(A) -> m1_filter_2(k2_filter_2(A,B),A))) # label(dt_k2_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13218 (all A all B (-v3_struct_0(A) & v10_lattices(A) & m2_nat_lat(B,A) & l3_lattices(A) -> v3_lattices(k24_filter_2(A,B)) & m2_nat_lat(k24_filter_2(A,B),k1_lattice2(A)))) # label(dt_k24_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13219 (all A all B (-v3_struct_0(A) & -v1_xboole_0(B) & m2_lattice4(B,k1_lattice2(A)) & l3_lattices(A) & v10_lattices(A) -> k12_filter_2(A,B) = k8_filter_2(A,B))) # label(redefinition_k12_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13220 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> k1_filter_2(A) = k1_filter_0(A))) # label(redefinition_k1_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.27 13221 (all A all B all C (l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v10_lattices(A) & -v3_struct_0(A) -> m2_lattice4(k22_filter_2(A,B,C),A) & -v1_xboole_0(k22_filter_2(A,B,C)))) # label(dt_k22_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13222 (all A (-v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> (all C (m2_filter_2(C,A) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)),k21_filter_2(A,B,C)))))))) # label(t56_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13223 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(E) -> (r2_hidden(B,D) & r2_hidden(C,E) -> r2_hidden(k3_lattices(A,B,C),k20_filter_2(A,D,E)) & r2_hidden(k3_lattices(A,C,B),k20_filter_2(A,D,E))))))))))))) # label(t46_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13224 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(k1_lattice2(A))) -> B = k6_filter_2(A,B))))) # label(d5_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13225 (all A all B (v10_lattices(A) & m2_lattice4(B,A) & -v1_xboole_0(B) & l3_lattices(A) & -v3_struct_0(A) -> m2_nat_lat(k23_filter_2(A,B),A))) # label(dt_k23_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13226 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,D,C) & r2_hidden(C,B) -> r2_hidden(D,B)))))) & (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k3_lattices(A,C,D),B)))))) <-> m2_filter_2(B,A)))))) # label(t22_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13227 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> (u1_struct_0(A) != B & (all C (m2_filter_2(C,A) -> (r1_tarski(B,C) -> C = u1_struct_0(A) | r1_filter_2(u1_struct_0(A),B,C)))) <-> r2_filter_2(A,B)))))) # label(d10_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13228 (all A all B (l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) & v10_lattices(A) & -v3_struct_0(A) -> -v1_xboole_0(k8_filter_2(A,B)))) # label(fc2_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13229 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v1_xboole_0(B) & m2_lattice4(B,A) -> (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,k2_zfmisc_1(B,B),B) & m2_relset_1(D,k2_zfmisc_1(B,B),B) & v1_funct_1(D) -> (D = k1_realset1(u1_lattices(A),B) & k1_realset1(u2_lattices(A),B) = C -> r1_lattice2(B,D,C) & r1_lattice2(B,C,D) & v2_binop_1(D,B) & v1_binop_1(D,B) & v2_binop_1(C,B) & v1_binop_1(C,B)))))))))) # label(t62_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13230 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> k3_lattices(k1_lattice2(A),k5_filter_2(A,B),k5_filter_2(A,C)) = k4_lattices(A,B,C) & k4_lattices(k1_lattice2(A),k5_filter_2(A,B),k5_filter_2(A,C)) = k3_lattices(A,B,C) & k4_lattices(A,k6_filter_2(A,D),k6_filter_2(A,E)) = k3_lattices(k1_lattice2(A),D,E) & k4_lattices(k1_lattice2(A),D,E) = k3_lattices(A,k6_filter_2(A,D),k6_filter_2(A,E)))))))))))) # label(t19_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13231 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> k8_filter_2(A,B) = B)))) # label(d7_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13232 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> m2_filter_2(u1_struct_0(A),A))) # label(t28_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13233 (all A (-v3_struct_0(A) & v17_lattices(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> (r2_filter_2(A,B) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> r2_hidden(k7_lattices(A,C),B) | r2_hidden(C,B))) & u1_struct_0(A) != B))))) # label(t57_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13234 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> r1_filter_2(u1_struct_0(A),k20_filter_2(A,B,C),k20_filter_2(A,C,B)))))))) # label(t48_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13235 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (all E (v1_funct_2(E,k2_zfmisc_1(B,B),B) & m2_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) -> (E = k1_realset1(C,B) & r6_binop_1(A,C,D) & k1_realset1(D,B) = F -> r6_binop_1(B,E,F)))))))))))))) # label(t4_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13236 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_filter_2(C,A) -> (all D (m1_filter_2(D,B) -> (C = D & g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> k8_filter_0(B,D) = k8_filter_0(A,C)))))))))) # label(t68_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13237 (all A (v17_lattices(A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k7_lattices(k1_lattice2(A),k5_filter_2(A,B)) = k7_lattices(A,B))))) # label(l70_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13238 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v14_lattices(A) -> r1_filter_2(u1_struct_0(A),k2_filter_2(A,B),k22_filter_2(A,B,k6_lattices(A)))))))) # label(t66_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13239 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> u1_struct_0(A) = k17_filter_2(A))) # label(d8_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13240 (all A all B (v10_lattices(A) & m1_subset_1(B,u1_struct_0(k1_lattice2(A))) & l3_lattices(A) & -v3_struct_0(A) -> m1_subset_1(k6_filter_2(A,B),u1_struct_0(A)))) # label(dt_k6_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13241 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (all C (m2_filter_2(C,A) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)),k19_filter_2(A,k20_filter_2(A,B,C))))))))) # label(t52_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13242 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,B),B))))) # label(t38_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13243 (all A all B (l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & v10_lattices(A) & -v3_struct_0(A) -> m2_filter_2(k18_filter_2(A,B),A))) # label(dt_k18_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13244 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> m1_filter_2(k1_filter_2(A),A))) # label(dt_k1_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13245 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (v14_lattices(A) -> r1_filter_2(u1_struct_0(A),k17_filter_2(A),k18_filter_2(A,k6_lattices(A)))))) # label(t32_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13246 (all A all B all C (-v3_struct_0(A) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l3_lattices(A) & v10_lattices(A) -> m1_subset_1(k20_filter_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k20_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13247 (all A (-v3_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & v14_lattices(B) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> k6_lattices(B) = k6_lattices(A)))))) # label(t10_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13248 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> (v1_filter_2(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) | r2_hidden(C,B) <-> r2_hidden(k4_lattices(A,C,D),B))))))))))) # label(d12_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13249 (all A all B (l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v10_lattices(A) & -v3_struct_0(A) -> -v1_xboole_0(k7_filter_2(A,B)))) # label(fc1_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13250 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (r2_filter_2(A,B) <-> k17_filter_2(A) != B & v1_filter_2(B,A)))))) # label(t58_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13251 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> r2_hidden(C,k22_filter_2(A,B,C)) & r2_hidden(B,k22_filter_2(A,B,C))))))))) # label(t64_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13252 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> a_3_0_filter_2(A,B,C) = k20_filter_2(A,B,C))))))) # label(d13_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13253 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (v15_lattices(A) & l3_lattices(A) & v16_lattices(A) & v10_lattices(A) & -v3_struct_0(A) <-> -v3_struct_0(k1_lattice2(A)) & v15_lattices(k1_lattice2(A)) & v16_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A))))) # label(t53_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13254 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r1_filter_2(u1_struct_0(A),k22_filter_2(A,B,B),k6_domain_1(u1_struct_0(A),B)))))) # label(t65_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13255 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> (all C (m2_filter_2(C,A) -> m2_filter_2(C,B)))))))) # label(t17_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13256 (all A all B (-v3_struct_0(A) & m2_lattice4(B,A) & l3_lattices(A) & v10_lattices(A) -> m2_lattice4(k9_filter_2(A,B),k1_lattice2(A)))) # label(dt_k9_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13257 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m2_filter_2(B,A) -> (all C (m2_filter_2(C,A) -> a_3_1_filter_2(A,B,C) = k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)))))))) # label(t50_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13258 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> m2_lattice4(B,A) & -v1_xboole_0(B))))) # label(dt_m2_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13259 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(k1_lattice2(A))) -> k6_filter_2(A,k5_filter_2(A,B)) = B & C = k5_filter_2(A,k6_filter_2(A,C)))))))) # label(t18_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13260 (all A (l3_lattices(A) -> (all B (l3_lattices(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> k1_lattice2(A) = k1_lattice2(B)))))) # label(t6_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13261 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m2_lattice4(B,A) -> v1_funct_1(k1_realset1(u2_lattices(A),B)) & m2_relset_1(k1_realset1(u2_lattices(A),B),k2_zfmisc_1(B,B),B) & v1_funct_1(k1_realset1(u1_lattices(A),B)) & m2_relset_1(k1_realset1(u1_lattices(A),B),k2_zfmisc_1(B,B),B) & v1_funct_2(k1_realset1(u1_lattices(A),B),k2_zfmisc_1(B,B),B) & v1_funct_2(k1_realset1(u2_lattices(A),B),k2_zfmisc_1(B,B),B))))) # label(t61_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13262 (all A all B all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> -v1_xboole_0(k20_filter_2(A,B,C)))) # label(fc3_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13263 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (v13_lattices(A) -> m2_filter_2(k6_domain_1(u1_struct_0(A),k5_lattices(A)),A)))) # label(t26_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13264 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(A,B) = a_2_0_filter_2(A,B))))) # label(d9_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13265 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> r1_tarski(k19_filter_2(A,k19_filter_2(A,B)),k19_filter_2(A,B)) & (r1_tarski(C,D) -> r1_tarski(k19_filter_2(A,C),k19_filter_2(A,D))))))))))) # label(t39_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13266 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_filter_0(B,k1_lattice2(A)) & v10_lattices(A) -> k14_filter_2(A,B) = k8_filter_2(A,B))) # label(redefinition_k14_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13267 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m2_filter_2(D,A) -> (r2_hidden(B,D) -> r2_hidden(k4_lattices(A,B,C),D) & r2_hidden(k4_lattices(A,C,B),D)))))))))) # label(t23_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13268 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v13_lattices(A) -> r1_filter_2(u1_struct_0(A),k18_filter_2(A,B),k22_filter_2(A,k5_lattices(A),B))))))) # label(t67_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13269 (all A all B (-v3_struct_0(A) & v10_lattices(A) & m1_filter_0(B,A) & l3_lattices(A) -> k13_filter_2(A,B) = k7_filter_2(A,B))) # label(redefinition_k13_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13270 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m2_lattice4(B,A) & -v1_xboole_0(B) & v10_lattices(A) -> -v1_xboole_0(k10_filter_2(A,B)) & m2_lattice4(k10_filter_2(A,B),k1_lattice2(A)))) # label(dt_k10_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13271 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m2_lattice4(B,A) & -v1_xboole_0(B) -> (all C (m2_nat_lat(C,A) -> (C = k23_filter_2(A,B) <-> (exists D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & (exists E (v1_funct_1(E) & m2_relset_1(E,k2_zfmisc_1(B,B),B) & C = g3_lattices(B,D,E) & k1_realset1(u1_lattices(A),B) = E & k1_realset1(u2_lattices(A),B) = D & v1_funct_2(E,k2_zfmisc_1(B,B),B))) & m2_relset_1(D,k2_zfmisc_1(B,B),B)))))))))) # label(d16_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13272 (all A (l3_lattices(A) & v17_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> v4_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v11_lattices(k1_lattice2(A)) & v12_lattices(k1_lattice2(A)) & v13_lattices(k1_lattice2(A)) & v15_lattices(k1_lattice2(A)) & v17_lattices(k1_lattice2(A)) & v16_lattices(k1_lattice2(A)) & v14_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) & -v3_struct_0(k1_lattice2(A)))) # label(fc4_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13273 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & v10_lattices(A) -> k2_filter_2(A,B) = k2_filter_0(A,B))) # label(redefinition_k2_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13274 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_filter_2(A,B) = B)))) # label(d4_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13275 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_filter_2(A,B,C) <-> (all D (m1_subset_1(D,A) -> (r2_hidden(D,B) <-> r2_hidden(D,C))))))))))) # label(d1_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13276 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> k22_filter_2(A,B,C) = a_3_2_filter_2(A,B,C)))))))) # label(d14_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13277 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_filter_2(B,A) -> (exists C (r2_hidden(C,B) & m1_subset_1(C,u1_struct_0(A)))))))) # label(t24_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13278 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(C != B & (all D (m2_filter_2(D,A) -> -((-r2_hidden(B,D) & r2_hidden(C,D) | -r2_hidden(C,D) & r2_hidden(B,D)) & r2_filter_2(A,D))))))))))) # label(t60_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13279 (all A all B (m2_lattice4(B,k1_lattice2(A)) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m2_lattice4(k11_filter_2(A,B),A))) # label(dt_k11_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13280 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m2_nat_lat(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m1_subset_1(C,u1_struct_0(A)))))))) # label(t69_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13281 (all A all B (v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v3_struct_0(A) -> m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))) # label(dt_k7_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13282 (all A all B (m2_lattice4(B,A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k9_filter_2(A,B) = k7_filter_2(A,B))) # label(redefinition_k9_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13283 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (l3_lattices(k1_lattice2(A)) & v17_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & -v3_struct_0(k1_lattice2(A)) <-> -v3_struct_0(A) & l3_lattices(A) & v17_lattices(A) & v10_lattices(A)))) # label(t54_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13284 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(B,k18_filter_2(A,C)) <-> r3_lattices(A,B,C)))))))) # label(t29_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13285 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(k4_lattices(A,C,D),B) <-> r2_hidden(D,B) & r2_hidden(C,B)))))) -> m2_lattice4(B,A)))))) # label(t13_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13286 (all A (-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) -> (all B (v10_lattices(B) & l3_lattices(B) & v13_lattices(B) & -v3_struct_0(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> k5_lattices(B) = k5_lattices(A)))))) # label(t9_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13287 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_2(B,A) -> k23_filter_2(A,B) = k8_filter_0(A,B))))) # label(t70_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13288 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & l3_lattices(B) & v10_lattices(B) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) & -v1_xboole_0(E) -> (all F (-v1_xboole_0(F) & m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) -> (D = F & C = E & g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> k5_filter_0(B,E,F) = k5_filter_0(A,C,D)))))))))))))) # label(l59_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13289 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) & -v1_xboole_0(D) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) & -v1_xboole_0(E) -> k20_filter_2(A,B,C) = k5_filter_0(k1_lattice2(A),k7_filter_2(A,B),k7_filter_2(A,C)) & k20_filter_2(k1_lattice2(A),k7_filter_2(A,B),k7_filter_2(A,C)) = k5_filter_0(A,B,C) & k20_filter_2(k1_lattice2(A),D,E) = k5_filter_0(A,k8_filter_2(A,D),k8_filter_2(A,E)) & k5_filter_0(k1_lattice2(A),D,E) = k20_filter_2(A,k8_filter_2(A,D),k8_filter_2(A,E)))))))))))) # label(t45_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13290 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> k1_lattice2(k1_lattice2(A)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)))) # label(t7_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13291 (all A all B (-v3_struct_0(A) & -v1_xboole_0(B) & m2_lattice4(B,A) & l3_lattices(A) & v10_lattices(A) -> k10_filter_2(A,B) = k7_filter_2(A,B))) # label(redefinition_k10_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13292 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_filter_2(B,k1_lattice2(A)) <-> m2_filter_2(B,A))))) # label(t21_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13293 (all A all B (-v3_struct_0(A) & v10_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l3_lattices(A) -> m1_filter_2(k3_filter_2(A,B),A))) # label(dt_k3_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13294 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> r1_filter_2(A,B,B))) # label(reflexivity_r1_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13295 (all A all B (-v3_struct_0(A) & m2_lattice4(B,k1_lattice2(A)) & l3_lattices(A) & v10_lattices(A) -> k8_filter_2(A,B) = k11_filter_2(A,B))) # label(redefinition_k11_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13296 (all A all B (l3_lattices(A) & m2_nat_lat(B,A) & v10_lattices(A) & -v3_struct_0(A) -> k24_filter_2(A,B) = k1_lattice2(B))) # label(redefinition_k24_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13297 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(B,B),B) & m2_relset_1(D,k2_zfmisc_1(B,B),B) -> (all E (m1_subset_1(E,A) -> (all F (m2_subset_1(F,A,B) -> (k1_realset1(C,B) = D & F = E -> (r1_binop_1(A,E,C) -> r1_binop_1(B,F,D)) & (r3_binop_1(A,E,C) -> r3_binop_1(B,F,D)) & (r2_binop_1(A,E,C) -> r2_binop_1(B,F,D))))))))))))))) # label(t2_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13298 (all A (v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (D = C -> k7_lattices(A,C) = k7_lattices(B,D))))))))))) # label(t12_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13299 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (-v1_xboole_0(B) & m2_lattice4(B,A) -> B = u1_struct_0(k23_filter_2(A,B)) & k1_realset1(u2_lattices(A),B) = u2_lattices(k23_filter_2(A,B)) & k1_realset1(u1_lattices(A),B) = u1_lattices(k23_filter_2(A,B)))))) # label(t73_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13300 (all A all B all C (v10_lattices(A) & l3_lattices(A) & m2_filter_2(B,A) & m2_filter_2(C,A) & v11_lattices(A) & -v3_struct_0(A) -> k20_filter_2(A,B,C) = k21_filter_2(A,B,C))) # label(redefinition_k21_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13301 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (m2_filter_2(C,A) -> (k19_filter_2(A,B) = C <-> (all D (m2_filter_2(D,A) -> (r1_tarski(B,D) -> r1_tarski(C,D)))) & r1_tarski(B,C)))))))) # label(d11_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13302 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & v17_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(k1_lattice2(A))) -> k7_lattices(k1_lattice2(A),k5_filter_2(A,B)) = k7_lattices(A,B) & k7_lattices(A,k6_filter_2(A,C)) = k7_lattices(k1_lattice2(A),C))))))) # label(t55_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13303 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (exists B m2_filter_2(B,A)))) # label(existence_m2_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13304 (all A (v10_lattices(A) & l3_lattices(A) & v17_lattices(A) & -v3_struct_0(A) -> (all B (m2_filter_2(B,A) -> (r2_filter_2(A,B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,B) <-> -r2_hidden(k7_lattices(A,C),B))))))))) # label(t59_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13305 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (v10_lattices(B) & l3_lattices(B) & -v3_struct_0(B) -> (g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) -> (all C (m1_filter_2(C,A) -> m1_filter_2(C,B)))))))) # label(t16_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13306 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_lattice4(B,A) & -v1_xboole_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(k23_filter_2(A,B))) -> (all F (m1_subset_1(F,u1_struct_0(k23_filter_2(A,B))) -> (F = D & C = E -> k3_lattices(A,C,D) = k3_lattices(k23_filter_2(A,B),E,F) & k4_lattices(k23_filter_2(A,B),E,F) = k4_lattices(A,C,D)))))))))))))) # label(t74_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13307 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (v14_lattices(A) -> (all B (m2_filter_2(B,A) -> -(u1_struct_0(A) != B & (all C (m2_filter_2(C,A) -> -(r2_filter_2(A,C) & r1_tarski(B,C)))))))))) # label(t34_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13308 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (all C (m2_filter_2(C,A) -> r1_tarski(C,k20_filter_2(A,B,C)) & r1_tarski(B,k20_filter_2(A,B,C)))))))) # label(t51_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13309 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> (r3_lattices(A,B,D) & r3_lattices(A,D,C) <-> r2_hidden(D,k22_filter_2(A,B,C)))))))))))) # label(t63_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13310 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)),k19_filter_2(A,k4_subset_1(u1_struct_0(A),k19_filter_2(A,B),C))) & r1_filter_2(u1_struct_0(A),k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)),k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,k19_filter_2(A,C)))))))))) # label(t49_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13311 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m2_filter_2(B,A) -> (v1_filter_0(k15_filter_2(A,B),k1_lattice2(A)) <-> r2_filter_2(A,B)))))) # label(t33_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13312 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m2_lattice4(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(k23_filter_2(A,B))) -> (all F (m1_subset_1(F,u1_struct_0(k23_filter_2(A,B))) -> (F = D & E = C -> (r3_lattices(A,C,D) <-> r3_lattices(k23_filter_2(A,B),E,F))))))))))))))) # label(t75_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13313 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (m2_filter_2(k6_domain_1(u1_struct_0(A),B),A) -> v13_lattices(A)))))) # label(t27_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13314 (all A all B (v10_lattices(A) & m2_filter_2(B,A) & l3_lattices(A) & -v3_struct_0(A) -> m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)))) # label(dt_k15_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13315 (all A all B (m2_filter_2(B,k1_lattice2(A)) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> m1_filter_2(k16_filter_2(A,B),A))) # label(dt_k16_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13316 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (exists B m1_filter_2(B,A)))) # label(existence_m1_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13317 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,C) -> r1_tarski(k18_filter_2(A,B),k19_filter_2(A,C))))))))) # label(t40_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13318 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_filter_0(B,A) & v10_lattices(A) -> m2_filter_2(k13_filter_2(A,B),k1_lattice2(A)))) # label(dt_k13_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13319 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & m2_filter_2(C,A) & m2_filter_2(B,A) & l3_lattices(A) & v11_lattices(A) -> m2_filter_2(k21_filter_2(A,B,C),A))) # label(dt_k21_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13320 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & v10_lattices(A) -> m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))))) # label(dt_k5_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13321 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_filter_2(A,B) = k18_filter_2(k1_lattice2(A),k5_filter_2(A,B)) & k18_filter_2(A,B) = k2_filter_2(k1_lattice2(A),k5_filter_2(A,B)))))) # label(t30_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13322 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) -> (all C (v1_funct_2(C,k2_zfmisc_1(A,A),A) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(C) -> (all D (v1_funct_1(D) & m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) -> (all E (v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,B),B) & m2_relset_1(E,k2_zfmisc_1(B,B),B) -> (all F (v1_funct_2(F,k2_zfmisc_1(B,B),B) & m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_1(F) -> (E = k1_realset1(C,B) & k1_realset1(D,B) = F -> (r4_binop_1(A,C,D) -> r4_binop_1(B,E,F)) & (r5_binop_1(A,C,D) -> r5_binop_1(B,E,F))))))))))))))) # label(t3_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13323 (all A all B (l3_lattices(A) & m2_filter_2(B,k1_lattice2(A)) & v10_lattices(A) & -v3_struct_0(A) -> k16_filter_2(A,B) = k8_filter_2(A,B))) # label(redefinition_k16_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13324 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> k3_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k19_filter_2(A,B) & k3_filter_2(k1_lattice2(A),C) = k19_filter_2(A,k8_filter_2(A,C)) & k19_filter_2(k1_lattice2(A),C) = k3_filter_2(A,k8_filter_2(A,C)) & k19_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k3_filter_2(A,B))))))) # label(t37_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13325 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (v1_funct_1(C) & m2_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_2(C,k2_zfmisc_1(A,A),A) -> (all D (m2_relset_1(D,k2_zfmisc_1(A,A),A) & v1_funct_2(D,k2_zfmisc_1(A,A),A) & v1_funct_1(D) -> (all E (v1_funct_2(E,k2_zfmisc_1(B,B),B) & m2_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_1(E) -> (all F (v1_funct_1(F) & m2_relset_1(F,k2_zfmisc_1(B,B),B) & v1_funct_2(F,k2_zfmisc_1(B,B),B) -> (k1_realset1(C,B) = E & r1_lattice2(A,C,D) & k1_realset1(D,B) = F -> r1_lattice2(B,E,F)))))))))))))) # label(t5_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13326 (all A all B (m2_filter_2(B,A) & l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> k7_filter_2(A,B) = k15_filter_2(A,B))) # label(redefinition_k15_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13327 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (l3_lattices(B) & v10_lattices(B) & -v3_struct_0(B) -> ((exists C ((exists D (v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(C,C),C) & m2_relset_1(D,k2_zfmisc_1(C,C),C) & (exists E (v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(C,C),C) & k1_realset1(u2_lattices(A),C) = D & g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) = g3_lattices(C,D,E) & k1_realset1(u1_lattices(A),C) = E & m2_relset_1(E,k2_zfmisc_1(C,C),C))))) & m2_lattice4(C,A) & -v1_xboole_0(C))) <-> m2_nat_lat(B,A)))))) # label(d15_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.28 13328 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = k23_filter_2(A,k17_filter_2(A)) & k23_filter_2(A,k1_filter_2(A)) = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)))) # label(t72_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.29 13329 (all A all B all C (v10_lattices(A) & v11_lattices(A) & l3_lattices(A) & m1_filter_0(C,A) & m1_filter_0(B,A) & -v3_struct_0(A) -> k4_filter_2(A,B,C) = k5_filter_0(A,B,C))) # label(redefinition_k4_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.29 13330 $T # label(d2_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.29 13331 (all A (-v3_struct_0(A) & l3_lattices(A) & v10_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> r2_hidden(B,k18_filter_2(A,B)) & r2_hidden(k4_lattices(A,B,C),k18_filter_2(A,B)) & r2_hidden(k4_lattices(A,C,B),k18_filter_2(A,B)))))))) # label(t31_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.29 13332 (all A all B all C (-v3_struct_0(A) & v11_lattices(A) & l3_lattices(A) & m1_filter_0(C,A) & m1_filter_0(B,A) & v10_lattices(A) -> m1_filter_2(k4_filter_2(A,B,C),A))) # label(dt_k4_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.29 13333 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> m2_filter_2(k17_filter_2(A),A))) # label(dt_k17_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.29 13334 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m2_lattice4(B,A) -> k24_filter_2(k1_lattice2(A),k23_filter_2(k1_lattice2(A),k10_filter_2(A,B))) = k23_filter_2(A,B))))) # label(t71_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.29 13335 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> -(r2_hidden(B,k20_filter_2(A,C,D)) & (all E (m1_subset_1(E,u1_struct_0(A)) -> (all F (m1_subset_1(F,u1_struct_0(A)) -> -(r2_hidden(E,C) & r2_hidden(F,D) & k3_lattices(A,E,F) = B)))))))))))) # label(t47_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.29 13336 (all A all B (-v3_struct_0(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & l3_lattices(A) & v10_lattices(A) -> m2_filter_2(k19_filter_2(A,B),A))) # label(dt_k19_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.29 13337 (all A (-v3_struct_0(A) & v16_lattices(A) & l3_lattices(A) & v15_lattices(A) & v10_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & v16_lattices(B) & l3_lattices(B) & v15_lattices(B) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (r2_lattices(A,C,D) & F = D & E = C -> r2_lattices(B,E,F))))))))))))))) # label(t11_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.29 13338 (all A (l3_lattices(A) & v10_lattices(A) & -v3_struct_0(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(k6_lattices(A),B) & v14_lattices(A) -> k19_filter_2(A,B) = u1_struct_0(A) & r1_filter_2(u1_struct_0(A),k19_filter_2(A,B),k17_filter_2(A))))))) # label(t42_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.29 13339 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_filter_2(A,B,C) -> r1_filter_2(A,C,B)))) # label(symmetry_r1_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.29 13340 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m2_lattice4(B,A) & -v1_xboole_0(B) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(k3_lattices(A,C,D),B) <-> r2_hidden(D,B) & r2_hidden(C,B)))))) <-> m2_filter_2(B,A)))))) # label(d3_filter_2) # label(axiom) # label(non_clause). [assumption]. 188.87/188.29 13341 (all A (v10_lattices(A) & l3_lattices(A) & -v3_struct_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) <-> r2_hidden(k3_lattices(A,C,D),B)))))) -> m2_filter_2(B,A)))))) # label(t15_filter_2) # Cputime limit exceeded (core dumped) 300.06/299.41 EOF