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 : n134.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 04:30:55 CDT 2018 0.03/0.23 % CPUTime : 0.07/0.52 ============================== Prover9 =============================== 0.07/0.52 Prover9 (32) version 2009-11A, November 2009. 0.07/0.52 Process 46151 was started by sandbox2 on n134.star.cs.uiowa.edu, 0.07/0.52 Sat Jul 14 04:30:55 2018 0.07/0.52 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_46119_n134.star.cs.uiowa.edu". 0.07/0.52 ============================== end of head =========================== 0.07/0.52 0.07/0.52 ============================== INPUT ================================= 0.07/0.52 0.07/0.52 % Reading from file /tmp/Prover9_46119_n134.star.cs.uiowa.edu 0.07/0.52 0.07/0.52 set(prolog_style_variables). 0.07/0.52 set(auto2). 0.07/0.52 % set(auto2) -> set(auto). 0.07/0.52 % set(auto) -> set(auto_inference). 0.07/0.52 % set(auto) -> set(auto_setup). 0.07/0.52 % set(auto_setup) -> set(predicate_elim). 0.07/0.52 % set(auto_setup) -> assign(eq_defs, unfold). 0.07/0.52 % set(auto) -> set(auto_limits). 0.07/0.52 % set(auto_limits) -> assign(max_weight, "100.000"). 0.07/0.52 % set(auto_limits) -> assign(sos_limit, 20000). 0.07/0.52 % set(auto) -> set(auto_denials). 0.07/0.52 % set(auto) -> set(auto_process). 0.07/0.52 % set(auto2) -> assign(new_constants, 1). 0.07/0.52 % set(auto2) -> assign(fold_denial_max, 3). 0.07/0.52 % set(auto2) -> assign(max_weight, "200.000"). 0.07/0.52 % set(auto2) -> assign(max_hours, 1). 0.07/0.52 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.07/0.52 % set(auto2) -> assign(max_seconds, 0). 0.07/0.52 % set(auto2) -> assign(max_minutes, 5). 0.07/0.52 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.07/0.52 % set(auto2) -> set(sort_initial_sos). 0.07/0.52 % set(auto2) -> assign(sos_limit, -1). 0.07/0.52 % set(auto2) -> assign(lrs_ticks, 3000). 0.07/0.52 % set(auto2) -> assign(max_megs, 400). 0.07/0.52 % set(auto2) -> assign(stats, some). 0.07/0.52 % set(auto2) -> clear(echo_input). 0.07/0.52 % set(auto2) -> set(quiet). 0.07/0.52 % set(auto2) -> clear(print_initial_clauses). 0.07/0.52 % set(auto2) -> clear(print_given). 0.07/0.52 assign(lrs_ticks,-1). 0.07/0.52 assign(sos_limit,10000). 0.07/0.52 assign(order,kbo). 0.07/0.52 set(lex_order_vars). 0.07/0.52 clear(print_given). 0.07/0.52 0.07/0.52 % formulas(sos). % not echoed (72 formulas) 0.07/0.52 0.07/0.52 ============================== end of input ========================== 0.07/0.52 0.07/0.52 % From the command line: assign(max_seconds, 300). 0.07/0.52 0.07/0.52 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.07/0.52 0.07/0.52 % Formulas that are not ordinary clauses: 0.07/0.52 1 (all A (l1_vectsp_1(A) -> (v7_group_1(A) & v6_vectsp_1(A) & -v3_struct_0(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]. 0.07/0.52 2 (exists A l2_struct_0(A)) # label(existence_l2_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.07/0.52 3 (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) -> (exists B (l1_vectsp_2(B,A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & v3_vectsp_2(B,A) & v5_vectsp_2(B,A) & v5_rlvect_1(B) & -v3_struct_0(B))))) # label(rc16_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 0.07/0.52 4 (all A (l1_struct_0(A) -> (exists B (-v3_struct_0(B) & l1_vectsp_2(B,A))))) # label(rc9_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 0.07/0.52 5 (all A (l2_struct_0(A) -> l1_struct_0(A))) # label(dt_l2_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 6 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 7 (all A all B all C -(m1_subset_1(B,k1_zfmisc_1(C)) & v1_xboole_0(C) & r2_hidden(A,B))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 8 (all A (l1_vectsp_1(A) -> l1_group_1(A))) # label(dt_l1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 9 (all A all B all C (r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 10 (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]. 0.07/0.53 11 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 12 (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]. 0.07/0.53 13 (all A (v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (exists B (-v3_struct_0(B) & v3_rlvect_1(B) & v5_rlvect_1(B) & v3_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(B) & l1_vectsp_2(B,A))))) # label(rc13_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 14 (all A (l1_rlvect_1(A) -> l2_struct_0(A))) # label(dt_l1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 15 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 16 (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]. 0.07/0.53 17 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 18 (exists A l2_vectsp_1(A)) # label(existence_l2_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 19 (all A all B all C all D all E (l1_struct_0(A) & v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & v1_funct_1(E) & m1_subset_1(D,B) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & -v1_xboole_0(B) -> -v3_struct_0(g1_vectsp_2(A,B,C,D,E)) & v3_vectsp_2(g1_vectsp_2(A,B,C,D,E),A))) # label(fc1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 20 (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]. 0.07/0.53 21 (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]. 0.07/0.53 22 (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]. 0.07/0.53 23 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 24 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 25 (all A all B -(v1_xboole_0(A) & B != A & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 26 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 27 (all A all B (l1_struct_0(A) & l1_vectsp_2(B,A) -> 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)) & v1_funct_1(u1_vectsp_2(A,B)))) # label(dt_u1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 28 (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]. 0.07/0.53 29 (all A (l1_struct_0(A) -> (exists B l1_vectsp_2(B,A)))) # label(existence_l1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 30 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 31 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 32 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 33 (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]. 0.07/0.53 34 (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]. 0.07/0.53 35 (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]. 0.07/0.53 36 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 37 (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_subset_1(D,B) & m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & v1_funct_1(E) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & v1_funct_1(C) -> (all F all G all H all I all J (g1_vectsp_2(F,G,H,I,J) = g1_vectsp_2(A,B,C,D,E) -> A = F & D = I & E = J & H = C & G = B)))) # label(free_g1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 38 (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]. 0.07/0.53 39 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 40 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 41 (all 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))))) # label(rc5_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 42 (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]. 0.07/0.53 43 (all A (l1_vectsp_1(A) -> (v8_vectsp_1(A) & v7_group_1(A) & -v3_struct_0(A) -> -v3_struct_0(A) & v2_group_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A)))) # label(cc2_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 44 (all A (l1_rlvect_1(A) -> v1_funct_1(u1_rlvect_1(A)) & m2_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 45 (all A all B all C (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v6_rlvect_1(B) & v5_rlvect_1(B) & v4_rlvect_1(B) & v8_vectsp_1(A) & v7_vectsp_1(A) & v7_group_1(A) & v5_rlvect_1(A) & -v3_struct_0(A) -> m1_rmod_2(k1_rmod_5(A,B,C),A,B) & v3_vectsp_2(k1_rmod_5(A,B,C),A))) # label(dt_k1_rmod_5) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 46 (exists A l3_vectsp_1(A)) # label(existence_l3_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 47 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 48 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 49 (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) & 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) & v8_vectsp_1(A) & v7_vectsp_1(A) & v6_vectsp_1(A) -> (exists C m1_rmod_2(C,A,B)))) # label(existence_m1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 50 (exists A (l2_struct_0(A) & -v3_struct_0(A))) # label(rc4_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 51 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 52 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 53 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 54 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_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) & v7_group_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> (C = u1_struct_0(D) -> k2_group_1(A) = k1_rlvect_1(A) | k1_rmod_5(A,B,C) = D))))))))) # label(t13_rmod_5) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 55 (exists A l1_vectsp_1(A)) # label(existence_l1_vectsp_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 56 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & v3_rlvect_1(B) & 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_vectsp_1(A) & v6_vectsp_1(A) -> (exists C (v3_vectsp_2(C,A) & v5_vectsp_2(C,A) & v6_rlvect_1(C) & v5_rlvect_1(C) & v4_rlvect_1(C) & v3_rlvect_1(C) & -v3_struct_0(C) & m1_rmod_2(C,A,B))))) # label(rc1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 57 (all A all B (-v1_xboole_0(B) & -v1_xboole_0(A) -> -v1_xboole_0(k2_zfmisc_1(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 58 (all A (l1_struct_0(A) -> (exists B (v3_vectsp_2(B,A) & l1_vectsp_2(B,A))))) # label(rc8_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 59 (all A all B (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) & v5_rlvect_1(A) & -v3_struct_0(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]. 0.07/0.53 60 (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]. 0.07/0.53 61 (exists A l1_rlvect_1(A)) # label(existence_l1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 62 (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_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) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(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]. 0.07/0.53 63 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 64 (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]. 0.07/0.53 65 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 66 (all A all B (-v3_struct_0(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_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) & v6_rlvect_1(A) & v5_rlvect_1(A) & v4_rlvect_1(A) & v3_rlvect_1(A) -> (all C (m1_rmod_2(C,A,B) -> v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & l1_vectsp_2(C,A) & v5_vectsp_2(C,A) & -v3_struct_0(C))))) # label(dt_m1_rmod_2) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 67 (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]. 0.07/0.53 68 (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_subset_1(D,B) & v1_funct_1(E) & 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(C) -> l1_vectsp_2(g1_vectsp_2(A,B,C,D,E),A) & v3_vectsp_2(g1_vectsp_2(A,B,C,D,E),A))) # label(dt_g1_vectsp_2) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 69 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 70 (all A all B -(v1_xboole_0(B) & r2_hidden(A,B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption]. 0.07/0.53 71 -(all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_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))) -> (C = u1_struct_0(B) -> k1_rlvect_1(A) = k2_group_1(A) | k1_rmod_5(A,B,C) = B))))))) # label(t14_rmod_5) # label(negated_conjecture) # label(non_clause). [assumption]. 0.07/0.53 0.07/0.53 ============================== end of process non-clausal formulas === 0.07/0.53 0.07/0.53 ============================== PROCESS INITIAL CLAUSES =============== 0.07/0.53 0.07/0.53 ============================== PREDICATE ELIMINATION ================= 0.07/0.53 72 -l2_vectsp_1(A) | l1_vectsp_1(A) # label(dt_l2_vectsp_1) # label(axiom). [clausify(16)]. 0.07/0.53 73 -l1_vectsp_1(A) | -v7_group_1(A) | -v6_vectsp_1(A) | v3_struct_0(A) | v2_group_1(A) # label(cc3_vectsp_2) # label(axiom). [clausify(1)]. 0.07/0.53 74 -l1_vectsp_1(A) | -v7_group_1(A) | -v6_vectsp_1(A) | v3_struct_0(A) | v8_vectsp_1(A) # label(cc3_vectsp_2) # label(axiom). [clausify(1)]. 0.07/0.53 75 -l1_vectsp_1(A) | l1_group_1(A) # label(dt_l1_vectsp_1) # label(axiom). [clausify(8)]. 0.07/0.53 Derived: -l2_vectsp_1(A) | -v7_group_1(A) | -v6_vectsp_1(A) | v3_struct_0(A) | v2_group_1(A). [resolve(72,b,73,a)]. 0.07/0.53 Derived: -l2_vectsp_1(A) | -v7_group_1(A) | -v6_vectsp_1(A) | v3_struct_0(A) | v8_vectsp_1(A). [resolve(72,b,74,a)]. 0.07/0.53 Derived: -l2_vectsp_1(A) | l1_group_1(A). [resolve(72,b,75,a)]. 0.07/0.53 76 -l1_vectsp_1(A) | -v8_vectsp_1(A) | -v7_group_1(A) | v3_struct_0(A) | v2_group_1(A) # label(cc2_vectsp_2) # label(axiom). [clausify(43)]. 0.07/0.53 Derived: -v8_vectsp_1(A) | -v7_group_1(A) | v3_struct_0(A) | v2_group_1(A) | -l2_vectsp_1(A). [resolve(76,a,72,b)]. 0.07/0.53 77 -l1_vectsp_1(A) | -v8_vectsp_1(A) | -v7_group_1(A) | v3_struct_0(A) | v6_vectsp_1(A) # label(cc2_vectsp_2) # label(axiom). [clausify(43)]. 0.07/0.53 Derived: -v8_vectsp_1(A) | -v7_group_1(A) | v3_struct_0(A) | v6_vectsp_1(A) | -l2_vectsp_1(A). [resolve(77,a,72,b)]. 0.07/0.53 78 l1_vectsp_1(c9) # label(existence_l1_vectsp_1) # label(axiom). [clausify(55)]. 0.07/0.53 Derived: -v7_group_1(c9) | -v6_vectsp_1(c9) | v3_struct_0(c9) | v2_group_1(c9). [resolve(78,a,73,a)]. 0.07/0.53 Derived: -v7_group_1(c9) | -v6_vectsp_1(c9) | v3_struct_0(c9) | v8_vectsp_1(c9). [resolve(78,a,74,a)]. 0.07/0.53 Derived: l1_group_1(c9). [resolve(78,a,75,a)]. 0.07/0.53 Derived: -v8_vectsp_1(c9) | -v7_group_1(c9) | v3_struct_0(c9) | v2_group_1(c9). [resolve(78,a,76,a)]. 0.07/0.53 Derived: -v8_vectsp_1(c9) | -v7_group_1(c9) | v3_struct_0(c9) | v6_vectsp_1(c9). [resolve(78,a,77,a)]. 0.07/0.53 79 -l2_struct_0(A) | l1_struct_0(A) # label(dt_l2_struct_0) # label(axiom). [clausify(5)]. 0.07/0.53 80 l2_struct_0(c1) # label(existence_l2_struct_0) # label(axiom). [clausify(2)]. 0.07/0.53 Derived: l1_struct_0(c1). [resolve(79,a,80,a)]. 0.07/0.53 81 -l2_struct_0(A) | m1_subset_1(u2_struct_0(A),u1_struct_0(A)) # label(dt_u2_struct_0) # label(axiom). [clausify(12)]. 0.07/0.53 Derived: m1_subset_1(u2_struct_0(c1),u1_struct_0(c1)). [resolve(81,a,80,a)]. 0.07/0.53 82 -l1_rlvect_1(A) | l2_struct_0(A) # label(dt_l1_rlvect_1) # label(axiom). [clausify(14)]. 0.07/0.53 Derived: -l1_rlvect_1(A) | l1_struct_0(A). [resolve(82,b,79,a)]. 0.07/0.53 Derived: -l1_rlvect_1(A) | m1_subset_1(u2_struct_0(A),u1_struct_0(A)). [resolve(82,b,81,a)]. 0.07/0.53 83 -l2_vectsp_1(A) | l2_struct_0(A) # label(dt_l2_vectsp_1) # label(axiom). [clausify(16)]. 0.07/0.53 Derived: -l2_vectsp_1(A) | l1_struct_0(A). [resolve(83,b,79,a)]. 0.07/0.53 Derived: -l2_vectsp_1(A) | m1_subset_1(u2_struct_0(A),u1_struct_0(A)). [resolve(83,b,81,a)]. 0.07/0.53 84 -l2_struct_0(A) | m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) # label(dt_k1_rlvect_1) # label(axiom). [clausify(20)]. 0.07/0.53 Derived: m1_subset_1(k1_rlvect_1(c1),u1_struct_0(c1)). [resolve(84,a,80,a)]. 0.07/0.53 Derived: m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) | -l1_rlvect_1(A). [resolve(84,a,82,b)]. 0.07/0.53 Derived: m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) | -l2_vectsp_1(A). [resolve(84,a,83,b)]. 0.07/0.53 85 l2_struct_0(c8) # label(rc4_struct_0) # label(axiom). [clausify(50)]. 0.07/0.53 Derived: l1_struct_0(c8). [resolve(85,a,79,a)]. 0.07/0.53 Derived: m1_subset_1(u2_struct_0(c8),u1_struct_0(c8)). [resolve(85,a,81,a)]. 0.07/0.53 Derived: m1_subset_1(k1_rlvect_1(c8),u1_struct_0(c8)). [resolve(85,a,84,a)]. 0.07/0.53 86 v7_vectsp_1(c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 0.07/0.53 87 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) | l1_vectsp_2(f1(A),A) # label(rc16_vectsp_2) # label(axiom). [clausify(3)]. 0.07/0.53 88 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) | v3_rlvect_1(f1(A)) # label(rc16_vectsp_2) # label(axiom). [clausify(3)]. 0.07/0.53 89 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) | v4_rlvect_1(f1(A)) # label(rc16_vectsp_2) # label(axiom). [clausify(3)]. 0.07/0.53 90 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) | v6_rlvect_1(f1(A)) # label(rc16_vectsp_2) # label(axiom). [clausify(3)]. 0.07/0.53 91 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) | v3_vectsp_2(f1(A),A) # label(rc16_vectsp_2) # label(axiom). [clausify(3)]. 0.07/0.53 92 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) | v5_vectsp_2(f1(A),A) # label(rc16_vectsp_2) # label(axiom). [clausify(3)]. 0.07/0.53 93 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) | v5_rlvect_1(f1(A)) # label(rc16_vectsp_2) # label(axiom). [clausify(3)]. 0.07/0.53 94 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) | -v3_struct_0(f1(A)) # label(rc16_vectsp_2) # label(axiom). [clausify(3)]. 0.07/0.53 95 -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v3_rlvect_1(A) | v3_struct_0(A) | -v3_struct_0(f3(A)) # label(rc13_vectsp_2) # label(axiom). [clausify(13)]. 0.07/0.54 96 -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v3_rlvect_1(A) | v3_struct_0(A) | v3_rlvect_1(f3(A)) # label(rc13_vectsp_2) # label(axiom). [clausify(13)]. 0.07/0.54 97 -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v3_rlvect_1(A) | v3_struct_0(A) | v5_rlvect_1(f3(A)) # label(rc13_vectsp_2) # label(axiom). [clausify(13)]. 0.07/0.54 98 -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v3_rlvect_1(A) | v3_struct_0(A) | v3_vectsp_2(f3(A),A) # label(rc13_vectsp_2) # label(axiom). [clausify(13)]. 0.07/0.54 99 -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v3_rlvect_1(A) | v3_struct_0(A) | v6_rlvect_1(f3(A)) # label(rc13_vectsp_2) # label(axiom). [clausify(13)]. 0.07/0.54 100 -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v3_rlvect_1(A) | v3_struct_0(A) | v4_rlvect_1(f3(A)) # label(rc13_vectsp_2) # label(axiom). [clausify(13)]. 0.07/0.54 101 -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v3_rlvect_1(A) | v3_struct_0(A) | l1_vectsp_2(f3(A),A) # label(rc13_vectsp_2) # label(axiom). [clausify(13)]. 0.07/0.54 102 -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | v10_vectsp_1(A) | -v2_vectsp_2(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) | -l1_vectsp_2(B,A) | -v5_vectsp_2(B,A) | -v6_rlvect_1(B) | -v5_rlvect_1(B) | -v4_rlvect_1(B) | -v8_vectsp_1(A) | -v7_vectsp_1(A) | -v7_group_1(A) | -v5_rlvect_1(A) | v3_struct_0(A) | m1_rmod_2(k1_rmod_5(A,B,C),A,B) # label(dt_k1_rmod_5) # label(axiom). [clausify(45)]. 0.07/0.54 103 -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | v10_vectsp_1(A) | -v2_vectsp_2(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) | -l1_vectsp_2(B,A) | -v5_vectsp_2(B,A) | -v6_rlvect_1(B) | -v5_rlvect_1(B) | -v4_rlvect_1(B) | -v8_vectsp_1(A) | -v7_vectsp_1(A) | -v7_group_1(A) | -v5_rlvect_1(A) | v3_struct_0(A) | v3_vectsp_2(k1_rmod_5(A,B,C),A) # label(dt_k1_rmod_5) # label(axiom). [clausify(45)]. 0.07/0.54 104 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) | 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) | -v8_vectsp_1(A) | -v7_vectsp_1(A) | -v6_vectsp_1(A) | m1_rmod_2(f9(A,B),A,B) # label(existence_m1_rmod_2) # label(axiom). [clausify(49)]. 0.07/0.54 105 v3_struct_0(A) | -v3_rlvect_1(A) | -v5_rlvect_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) | -v7_group_1(A) | -v4_group_1(A) | -v6_rlvect_1(A) | -v4_rlvect_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_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) | -v3_vectsp_2(D,A) | -m1_rmod_2(D,A,B) | u1_struct_0(D) != C | k2_group_1(A) = k1_rlvect_1(A) | k1_rmod_5(A,B,C) = D # label(t13_rmod_5) # label(axiom). [clausify(54)]. 0.07/0.54 106 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -v3_rlvect_1(B) | -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_vectsp_1(A) | -v6_vectsp_1(A) | v3_vectsp_2(f10(A,B),A) # label(rc1_rmod_2) # label(axiom). [clausify(56)]. 0.07/0.54 107 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -v3_rlvect_1(B) | -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_vectsp_1(A) | -v6_vectsp_1(A) | v5_vectsp_2(f10(A,B),A) # label(rc1_rmod_2) # label(axiom). [clausify(56)]. 0.07/0.54 108 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -v3_rlvect_1(B) | -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_vectsp_1(A) | -v6_vectsp_1(A) | v6_rlvect_1(f10(A,B)) # label(rc1_rmod_2) # label(axiom). [clausify(56)]. 0.07/0.54 109 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -v3_rlvect_1(B) | -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_vectsp_1(A) | -v6_vectsp_1(A) | v5_rlvect_1(f10(A,B)) # label(rc1_rmod_2) # label(axiom). [clausify(56)]. 0.07/0.54 110 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -v3_rlvect_1(B) | -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_vectsp_1(A) | -v6_vectsp_1(A) | v4_rlvect_1(f10(A,B)) # label(rc1_rmod_2) # label(axiom). [clausify(56)]. 0.07/0.54 111 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -v3_rlvect_1(B) | -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_vectsp_1(A) | -v6_vectsp_1(A) | v3_rlvect_1(f10(A,B)) # label(rc1_rmod_2) # label(axiom). [clausify(56)]. 0.07/0.54 112 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -v3_rlvect_1(B) | -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_vectsp_1(A) | -v6_vectsp_1(A) | -v3_struct_0(f10(A,B)) # label(rc1_rmod_2) # label(axiom). [clausify(56)]. 0.07/0.54 113 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -v3_rlvect_1(B) | -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_vectsp_1(A) | -v6_vectsp_1(A) | m1_rmod_2(f10(A,B),A,B) # label(rc1_rmod_2) # label(axiom). [clausify(56)]. 0.07/0.54 114 -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | -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) | -v5_rlvect_1(A) | v3_struct_0(A) | v3_vectsp_2(k2_rmod_2(A,B),A) # label(dt_k2_rmod_2) # label(axiom). [clausify(59)]. 0.07/0.54 115 -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | -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) | -v5_rlvect_1(A) | v3_struct_0(A) | m1_rmod_2(k2_rmod_2(A,B),A,B) # label(dt_k2_rmod_2) # label(axiom). [clausify(59)]. 0.07/0.54 116 -v3_rlvect_1(A) | -v5_rlvect_1(A) | -v4_group_1(A) | -l3_vectsp_1(A) | -v8_vectsp_1(A) | -v7_vectsp_1(A) | -v6_vectsp_1(A) | -v6_rlvect_1(A) | -v4_rlvect_1(A) | v3_struct_0(A) | 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) | k2_rmod_2(A,B) = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) # label(d4_rmod_2) # label(axiom). [clausify(62)]. 0.07/0.54 117 v3_struct_0(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_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) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v3_rlvect_1(A) | -m1_rmod_2(C,A,B) | v3_rlvect_1(C) # label(dt_m1_rmod_2) # label(axiom). [clausify(66)]. 0.07/0.54 118 v3_struct_0(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_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) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v3_rlvect_1(A) | -m1_rmod_2(C,A,B) | v4_rlvect_1(C) # label(dt_m1_rmod_2) # label(axiom). [clausify(66)]. 0.07/0.54 119 v3_struct_0(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_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) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v3_rlvect_1(A) | -m1_rmod_2(C,A,B) | v5_rlvect_1(C) # label(dt_m1_rmod_2) # label(axiom). [clausify(66)]. 0.07/0.54 120 v3_struct_0(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_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) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v3_rlvect_1(A) | -m1_rmod_2(C,A,B) | v6_rlvect_1(C) # label(dt_m1_rmod_2) # label(axiom). [clausify(66)]. 0.07/0.54 121 v3_struct_0(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_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) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v3_rlvect_1(A) | -m1_rmod_2(C,A,B) | l1_vectsp_2(C,A) # label(dt_m1_rmod_2) # label(axiom). [clausify(66)]. 0.07/0.54 122 v3_struct_0(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_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) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v3_rlvect_1(A) | -m1_rmod_2(C,A,B) | v5_vectsp_2(C,A) # label(dt_m1_rmod_2) # label(axiom). [clausify(66)]. 0.07/0.54 123 v3_struct_0(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_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) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v3_rlvect_1(A) | -m1_rmod_2(C,A,B) | -v3_struct_0(C) # label(dt_m1_rmod_2) # label(axiom). [clausify(66)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | -v4_group_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | l1_vectsp_2(f1(c12),c12). [resolve(86,a,87,d)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | -v4_group_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | v3_rlvect_1(f1(c12)). [resolve(86,a,88,d)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | -v4_group_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | v4_rlvect_1(f1(c12)). [resolve(86,a,89,d)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | -v4_group_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | v6_rlvect_1(f1(c12)). [resolve(86,a,90,d)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | -v4_group_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | v3_vectsp_2(f1(c12),c12). [resolve(86,a,91,d)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | -v4_group_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | v5_vectsp_2(f1(c12),c12). [resolve(86,a,92,d)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | -v4_group_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | v5_rlvect_1(f1(c12)). [resolve(86,a,93,d)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | -v4_group_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | -v3_struct_0(f1(c12)). [resolve(86,a,94,d)]. 0.07/0.54 Derived: -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_rlvect_1(c12) | -v3_rlvect_1(c12) | v3_struct_0(c12) | -v3_struct_0(f3(c12)). [resolve(86,a,95,c)]. 0.07/0.54 Derived: -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_rlvect_1(c12) | -v3_rlvect_1(c12) | v3_struct_0(c12) | v3_rlvect_1(f3(c12)). [resolve(86,a,96,c)]. 0.07/0.54 Derived: -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_rlvect_1(c12) | -v3_rlvect_1(c12) | v3_struct_0(c12) | v5_rlvect_1(f3(c12)). [resolve(86,a,97,c)]. 0.07/0.54 Derived: -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_rlvect_1(c12) | -v3_rlvect_1(c12) | v3_struct_0(c12) | v3_vectsp_2(f3(c12),c12). [resolve(86,a,98,c)]. 0.07/0.54 Derived: -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_rlvect_1(c12) | -v3_rlvect_1(c12) | v3_struct_0(c12) | v6_rlvect_1(f3(c12)). [resolve(86,a,99,c)]. 0.07/0.54 Derived: -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_rlvect_1(c12) | -v3_rlvect_1(c12) | v3_struct_0(c12) | v4_rlvect_1(f3(c12)). [resolve(86,a,100,c)]. 0.07/0.54 Derived: -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_rlvect_1(c12) | -v3_rlvect_1(c12) | v3_struct_0(c12) | l1_vectsp_2(f3(c12),c12). [resolve(86,a,101,c)]. 0.07/0.54 Derived: -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | v10_vectsp_1(c12) | -v2_vectsp_2(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v8_vectsp_1(c12) | -v7_group_1(c12) | -v5_rlvect_1(c12) | v3_struct_0(c12) | m1_rmod_2(k1_rmod_5(c12,A,B),c12,A). [resolve(86,a,102,r)]. 0.07/0.54 Derived: -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | v10_vectsp_1(c12) | -v2_vectsp_2(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | -v8_vectsp_1(c12) | -v7_group_1(c12) | -v5_rlvect_1(c12) | v3_struct_0(c12) | v3_vectsp_2(k1_rmod_5(c12,A,B),c12). [resolve(86,a,103,r)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -v8_vectsp_1(c12) | -v6_vectsp_1(c12) | m1_rmod_2(f9(c12,A),c12,A). [resolve(86,a,104,p)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v2_vectsp_2(c12) | v10_vectsp_1(c12) | -v7_group_1(c12) | -v4_group_1(c12) | -v6_rlvect_1(c12) | -v4_rlvect_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -v3_vectsp_2(C,c12) | -m1_rmod_2(C,c12,A) | u1_struct_0(C) != B | k2_group_1(c12) = k1_rlvect_1(c12) | k1_rmod_5(c12,A,B) = C. [resolve(86,a,105,i)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v8_vectsp_1(c12) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | v3_struct_0(A) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | v3_vectsp_2(f10(c12,A),c12). [resolve(86,a,106,g)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v8_vectsp_1(c12) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | v3_struct_0(A) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | v5_vectsp_2(f10(c12,A),c12). [resolve(86,a,107,g)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v8_vectsp_1(c12) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | v3_struct_0(A) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | v6_rlvect_1(f10(c12,A)). [resolve(86,a,108,g)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v8_vectsp_1(c12) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | v3_struct_0(A) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | v5_rlvect_1(f10(c12,A)). [resolve(86,a,109,g)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v8_vectsp_1(c12) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | v3_struct_0(A) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | v4_rlvect_1(f10(c12,A)). [resolve(86,a,110,g)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v8_vectsp_1(c12) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | v3_struct_0(A) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | v3_rlvect_1(f10(c12,A)). [resolve(86,a,111,g)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v8_vectsp_1(c12) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | v3_struct_0(A) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | -v3_struct_0(f10(c12,A)). [resolve(86,a,112,g)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v8_vectsp_1(c12) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | v3_struct_0(A) | -l3_vectsp_1(c12) | -v6_vectsp_1(c12) | m1_rmod_2(f10(c12,A),c12,A). [resolve(86,a,113,g)]. 0.07/0.54 Derived: -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -v6_rlvect_1(A) | v3_struct_0(A) | -v5_rlvect_1(c12) | v3_struct_0(c12) | v3_vectsp_2(k2_rmod_2(c12,A),c12). [resolve(86,a,114,f)]. 0.07/0.54 Derived: -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -v6_rlvect_1(A) | v3_struct_0(A) | -v5_rlvect_1(c12) | v3_struct_0(c12) | m1_rmod_2(k2_rmod_2(c12,A),c12,A). [resolve(86,a,115,f)]. 0.07/0.54 Derived: -v3_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_group_1(c12) | -l3_vectsp_1(c12) | -v8_vectsp_1(c12) | -v6_vectsp_1(c12) | -v6_rlvect_1(c12) | -v4_rlvect_1(c12) | v3_struct_0(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v5_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -v6_rlvect_1(A) | -v4_rlvect_1(A) | k2_rmod_2(c12,A) = g1_vectsp_2(c12,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_vectsp_2(c12,A)). [resolve(86,a,116,f)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -v3_rlvect_1(A) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | v3_struct_0(A) | -l3_vectsp_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_rlvect_1(c12) | -v3_rlvect_1(c12) | -m1_rmod_2(B,c12,A) | v3_rlvect_1(B). [resolve(86,a,117,d)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -v3_rlvect_1(A) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | v3_struct_0(A) | -l3_vectsp_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_rlvect_1(c12) | -v3_rlvect_1(c12) | -m1_rmod_2(B,c12,A) | v4_rlvect_1(B). [resolve(86,a,118,d)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -v3_rlvect_1(A) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | v3_struct_0(A) | -l3_vectsp_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_rlvect_1(c12) | -v3_rlvect_1(c12) | -m1_rmod_2(B,c12,A) | v5_rlvect_1(B). [resolve(86,a,119,d)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -v3_rlvect_1(A) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | v3_struct_0(A) | -l3_vectsp_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_rlvect_1(c12) | -v3_rlvect_1(c12) | -m1_rmod_2(B,c12,A) | v6_rlvect_1(B). [resolve(86,a,120,d)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -v3_rlvect_1(A) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | v3_struct_0(A) | -l3_vectsp_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_rlvect_1(c12) | -v3_rlvect_1(c12) | -m1_rmod_2(B,c12,A) | l1_vectsp_2(B,c12). [resolve(86,a,121,d)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -v3_rlvect_1(A) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | v3_struct_0(A) | -l3_vectsp_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_rlvect_1(c12) | -v3_rlvect_1(c12) | -m1_rmod_2(B,c12,A) | v5_vectsp_2(B,c12). [resolve(86,a,122,d)]. 0.07/0.54 Derived: v3_struct_0(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -v3_rlvect_1(A) | -l1_vectsp_2(A,c12) | -v5_vectsp_2(A,c12) | -v6_rlvect_1(A) | -v5_rlvect_1(A) | -v4_rlvect_1(A) | v3_struct_0(A) | -l3_vectsp_1(c12) | -v6_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_rlvect_1(c12) | -v3_rlvect_1(c12) | -m1_rmod_2(B,c12,A) | -v3_struct_0(B). [resolve(86,a,123,d)]. 0.07/0.54 124 l1_struct_0(c2) # label(rc3_struct_0) # label(axiom). [clausify(6)]. 0.07/0.54 125 -l1_struct_0(A) | -v3_struct_0(f2(A)) # label(rc9_vectsp_2) # label(axiom). [clausify(4)]. 0.07/0.54 126 -l1_struct_0(A) | l1_vectsp_2(f2(A),A) # label(rc9_vectsp_2) # label(axiom). [clausify(4)]. 0.07/0.54 Derived: -v3_struct_0(f2(c2)). [resolve(124,a,125,a)]. 0.07/0.54 Derived: l1_vectsp_2(f2(c2),c2). [resolve(124,a,126,a)]. 0.07/0.54 127 l1_struct_0(c3) # label(existence_l1_struct_0) # label(axiom). [clausify(15)]. 0.07/0.54 Derived: -v3_struct_0(f2(c3)). [resolve(127,a,125,a)]. 0.07/0.54 Derived: l1_vectsp_2(f2(c3),c3). [resolve(127,a,126,a)]. 0.07/0.54 128 -l1_struct_0(A) | -v1_funct_1(B) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_2(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(D) | -m1_subset_1(E,C) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | v1_xboole_0(C) | -v3_struct_0(g1_vectsp_2(A,C,B,E,D)) # label(fc1_vectsp_2) # label(axiom). [clausify(19)]. 0.07/0.54 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_1(C) | -m1_subset_1(D,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | -v3_struct_0(g1_vectsp_2(c2,B,A,D,C)). [resolve(128,a,124,a)]. 0.07/0.54 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_1(C) | -m1_subset_1(D,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | -v3_struct_0(g1_vectsp_2(c3,B,A,D,C)). [resolve(128,a,127,a)]. 0.07/0.54 129 -l1_struct_0(A) | -v1_funct_1(B) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_2(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(D) | -m1_subset_1(E,C) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | v1_xboole_0(C) | v3_vectsp_2(g1_vectsp_2(A,C,B,E,D),A) # label(fc1_vectsp_2) # label(axiom). [clausify(19)]. 0.07/0.54 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_1(C) | -m1_subset_1(D,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | v3_vectsp_2(g1_vectsp_2(c2,B,A,D,C),c2). [resolve(129,a,124,a)]. 0.07/0.54 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_1(C) | -m1_subset_1(D,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | v3_vectsp_2(g1_vectsp_2(c3,B,A,D,C),c3). [resolve(129,a,127,a)]. 0.07/0.54 130 -l1_vectsp_2(A,B) | -l1_struct_0(B) | -v3_vectsp_2(A,B) | g1_vectsp_2(B,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_vectsp_2(B,A)) = A # label(abstractness_v3_vectsp_2) # label(axiom). [clausify(22)]. 0.07/0.54 Derived: -l1_vectsp_2(A,c2) | -v3_vectsp_2(A,c2) | g1_vectsp_2(c2,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_vectsp_2(c2,A)) = A. [resolve(130,b,124,a)]. 0.07/0.54 Derived: -l1_vectsp_2(A,c3) | -v3_vectsp_2(A,c3) | g1_vectsp_2(c3,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_vectsp_2(c3,A)) = A. [resolve(130,b,127,a)]. 0.07/0.54 131 -l1_struct_0(A) | -l1_vectsp_2(B,A) | m2_relset_1(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). [clausify(27)]. 0.07/0.54 Derived: -l1_vectsp_2(A,c2) | m2_relset_1(u1_vectsp_2(c2,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c2)),u1_struct_0(A)). [resolve(131,a,124,a)]. 0.07/0.54 Derived: -l1_vectsp_2(A,c3) | m2_relset_1(u1_vectsp_2(c3,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c3)),u1_struct_0(A)). [resolve(131,a,127,a)]. 0.07/0.54 132 -l1_struct_0(A) | -l1_vectsp_2(B,A) | 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). [clausify(27)]. 0.07/0.54 Derived: -l1_vectsp_2(A,c2) | v1_funct_2(u1_vectsp_2(c2,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c2)),u1_struct_0(A)). [resolve(132,a,124,a)]. 0.07/0.54 Derived: -l1_vectsp_2(A,c3) | v1_funct_2(u1_vectsp_2(c3,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c3)),u1_struct_0(A)). [resolve(132,a,127,a)]. 0.07/0.54 133 -l1_struct_0(A) | -l1_vectsp_2(B,A) | v1_funct_1(u1_vectsp_2(A,B)) # label(dt_u1_vectsp_2) # label(axiom). [clausify(27)]. 0.07/0.54 Derived: -l1_vectsp_2(A,c2) | v1_funct_1(u1_vectsp_2(c2,A)). [resolve(133,a,124,a)]. 0.07/0.54 Derived: -l1_vectsp_2(A,c3) | v1_funct_1(u1_vectsp_2(c3,A)). [resolve(133,a,127,a)]. 0.07/0.54 134 -l1_struct_0(A) | l1_vectsp_2(f6(A),A) # label(existence_l1_vectsp_2) # label(axiom). [clausify(29)]. 0.07/0.54 Derived: l1_vectsp_2(f6(c2),c2). [resolve(134,a,124,a)]. 0.07/0.54 Derived: l1_vectsp_2(f6(c3),c3). [resolve(134,a,127,a)]. 0.07/0.54 135 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(31)]. 0.07/0.54 Derived: -l1_group_1(A) | -v3_struct_0(f2(A)). [resolve(135,b,125,a)]. 0.07/0.54 Derived: -l1_group_1(A) | l1_vectsp_2(f2(A),A). [resolve(135,b,126,a)]. 0.07/0.54 Derived: -l1_group_1(A) | -v1_funct_1(B) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_2(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(D) | -m1_subset_1(E,C) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | v1_xboole_0(C) | -v3_struct_0(g1_vectsp_2(A,C,B,E,D)). [resolve(135,b,128,a)]. 0.07/0.54 Derived: -l1_group_1(A) | -v1_funct_1(B) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_2(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(D) | -m1_subset_1(E,C) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | v1_xboole_0(C) | v3_vectsp_2(g1_vectsp_2(A,C,B,E,D),A). [resolve(135,b,129,a)]. 0.07/0.54 Derived: -l1_group_1(A) | -l1_vectsp_2(B,A) | -v3_vectsp_2(B,A) | g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = B. [resolve(135,b,130,b)]. 0.07/0.54 Derived: -l1_group_1(A) | -l1_vectsp_2(B,A) | m2_relset_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(135,b,131,a)]. 0.07/0.54 Derived: -l1_group_1(A) | -l1_vectsp_2(B,A) | v1_funct_2(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(135,b,132,a)]. 0.07/0.54 Derived: -l1_group_1(A) | -l1_vectsp_2(B,A) | v1_funct_1(u1_vectsp_2(A,B)). [resolve(135,b,133,a)]. 0.07/0.54 Derived: -l1_group_1(A) | l1_vectsp_2(f6(A),A). [resolve(135,b,134,a)]. 0.07/0.54 136 -l1_struct_0(A) | -l1_vectsp_2(B,A) | l1_rlvect_1(B) # label(dt_l1_vectsp_2) # label(axiom). [clausify(33)]. 0.07/0.54 Derived: -l1_vectsp_2(A,c2) | l1_rlvect_1(A). [resolve(136,a,124,a)]. 0.07/0.54 Derived: -l1_vectsp_2(A,c3) | l1_rlvect_1(A). [resolve(136,a,127,a)]. 0.07/0.54 Derived: -l1_vectsp_2(A,B) | l1_rlvect_1(A) | -l1_group_1(B). [resolve(136,a,135,b)]. 0.07/0.54 137 -l1_struct_0(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | F = A # label(free_g1_vectsp_2) # label(axiom). [clausify(37)]. 0.07/0.54 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c2,B,A,C,D) | E = c2. [resolve(137,a,124,a)]. 0.07/0.54 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c3,B,A,C,D) | E = c3. [resolve(137,a,127,a)]. 0.07/0.54 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | F = E | -l1_group_1(E). [resolve(137,a,135,b)]. 0.07/0.54 138 -l1_struct_0(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V8 = D # label(free_g1_vectsp_2) # label(axiom). [clausify(37)]. 0.07/0.54 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c2,B,A,C,D) | V7 = C. [resolve(138,a,124,a)]. 0.07/0.54 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c3,B,A,C,D) | V7 = C. [resolve(138,a,127,a)]. 0.07/0.54 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V8 = C | -l1_group_1(E). [resolve(138,a,135,b)]. 0.07/0.54 139 -l1_struct_0(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V9 = E # label(free_g1_vectsp_2) # label(axiom). [clausify(37)]. 0.07/0.54 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c2,B,A,C,D) | V8 = D. [resolve(139,a,124,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c3,B,A,C,D) | V8 = D. [resolve(139,a,127,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V9 = D | -l1_group_1(E). [resolve(139,a,135,b)]. 0.07/0.55 140 -l1_struct_0(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V7 = B # label(free_g1_vectsp_2) # label(axiom). [clausify(37)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c2,B,A,C,D) | V6 = A. [resolve(140,a,124,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c3,B,A,C,D) | V6 = A. [resolve(140,a,127,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V7 = A | -l1_group_1(E). [resolve(140,a,135,b)]. 0.07/0.55 141 -l1_struct_0(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V6 = C # label(free_g1_vectsp_2) # label(axiom). [clausify(37)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c2,B,A,C,D) | F = B. [resolve(141,a,124,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c3,B,A,C,D) | F = B. [resolve(141,a,127,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V6 = B | -l1_group_1(E). [resolve(141,a,135,b)]. 0.07/0.55 142 -l1_struct_0(A) | v3_struct_0(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(41)]. 0.07/0.55 Derived: v3_struct_0(c2) | m1_subset_1(f8(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(142,a,124,a)]. 0.07/0.55 Derived: v3_struct_0(c3) | m1_subset_1(f8(c3),k1_zfmisc_1(u1_struct_0(c3))). [resolve(142,a,127,a)]. 0.07/0.55 Derived: v3_struct_0(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_group_1(A). [resolve(142,a,135,b)]. 0.07/0.55 143 -l1_struct_0(A) | v3_struct_0(A) | -v1_xboole_0(f8(A)) # label(rc5_struct_0) # label(axiom). [clausify(41)]. 0.07/0.55 Derived: v3_struct_0(c2) | -v1_xboole_0(f8(c2)). [resolve(143,a,124,a)]. 0.07/0.55 Derived: v3_struct_0(c3) | -v1_xboole_0(f8(c3)). [resolve(143,a,127,a)]. 0.07/0.55 Derived: v3_struct_0(A) | -v1_xboole_0(f8(A)) | -l1_group_1(A). [resolve(143,a,135,b)]. 0.07/0.55 144 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(42)]. 0.07/0.55 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(144,b,124,a)]. 0.07/0.55 Derived: v3_struct_0(c3) | -v1_xboole_0(u1_struct_0(c3)). [resolve(144,b,127,a)]. 0.07/0.55 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_group_1(A). [resolve(144,b,135,b)]. 0.07/0.55 145 -l1_struct_0(A) | v3_vectsp_2(f11(A),A) # label(rc8_vectsp_2) # label(axiom). [clausify(58)]. 0.07/0.55 Derived: v3_vectsp_2(f11(c2),c2). [resolve(145,a,124,a)]. 0.07/0.55 Derived: v3_vectsp_2(f11(c3),c3). [resolve(145,a,127,a)]. 0.07/0.55 Derived: v3_vectsp_2(f11(A),A) | -l1_group_1(A). [resolve(145,a,135,b)]. 0.07/0.55 146 -l1_struct_0(A) | l1_vectsp_2(f11(A),A) # label(rc8_vectsp_2) # label(axiom). [clausify(58)]. 0.07/0.55 Derived: l1_vectsp_2(f11(c2),c2). [resolve(146,a,124,a)]. 0.07/0.55 Derived: l1_vectsp_2(f11(c3),c3). [resolve(146,a,127,a)]. 0.07/0.55 Derived: l1_vectsp_2(f11(A),A) | -l1_group_1(A). [resolve(146,a,135,b)]. 0.07/0.55 147 -l1_struct_0(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -v1_funct_1(E) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(B) | l1_vectsp_2(g1_vectsp_2(A,C,B,D,E),A) # label(dt_g1_vectsp_2) # label(axiom). [clausify(68)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_1(A) | l1_vectsp_2(g1_vectsp_2(c2,B,A,C,D),c2). [resolve(147,a,124,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_1(A) | l1_vectsp_2(g1_vectsp_2(c3,B,A,C,D),c3). [resolve(147,a,127,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(A) | l1_vectsp_2(g1_vectsp_2(E,B,A,C,D),E) | -l1_group_1(E). [resolve(147,a,135,b)]. 0.07/0.55 148 -l1_struct_0(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -v1_funct_1(E) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(B) | v3_vectsp_2(g1_vectsp_2(A,C,B,D,E),A) # label(dt_g1_vectsp_2) # label(axiom). [clausify(68)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c2)),B) | -v1_funct_1(A) | v3_vectsp_2(g1_vectsp_2(c2,B,A,C,D),c2). [resolve(148,a,124,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -v1_funct_1(A) | v3_vectsp_2(g1_vectsp_2(c3,B,A,C,D),c3). [resolve(148,a,127,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(A) | v3_vectsp_2(g1_vectsp_2(E,B,A,C,D),E) | -l1_group_1(E). [resolve(148,a,135,b)]. 0.07/0.55 149 l1_struct_0(c1). [resolve(79,a,80,a)]. 0.07/0.55 Derived: -v3_struct_0(f2(c1)). [resolve(149,a,125,a)]. 0.07/0.55 Derived: l1_vectsp_2(f2(c1),c1). [resolve(149,a,126,a)]. 0.07/0.55 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_1(C) | -m1_subset_1(D,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | -v3_struct_0(g1_vectsp_2(c1,B,A,D,C)). [resolve(149,a,128,a)]. 0.07/0.55 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_1(C) | -m1_subset_1(D,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | v3_vectsp_2(g1_vectsp_2(c1,B,A,D,C),c1). [resolve(149,a,129,a)]. 0.07/0.55 Derived: -l1_vectsp_2(A,c1) | -v3_vectsp_2(A,c1) | g1_vectsp_2(c1,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_vectsp_2(c1,A)) = A. [resolve(149,a,130,b)]. 0.07/0.55 Derived: -l1_vectsp_2(A,c1) | m2_relset_1(u1_vectsp_2(c1,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c1)),u1_struct_0(A)). [resolve(149,a,131,a)]. 0.07/0.55 Derived: -l1_vectsp_2(A,c1) | v1_funct_2(u1_vectsp_2(c1,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c1)),u1_struct_0(A)). [resolve(149,a,132,a)]. 0.07/0.55 Derived: -l1_vectsp_2(A,c1) | v1_funct_1(u1_vectsp_2(c1,A)). [resolve(149,a,133,a)]. 0.07/0.55 Derived: l1_vectsp_2(f6(c1),c1). [resolve(149,a,134,a)]. 0.07/0.55 Derived: -l1_vectsp_2(A,c1) | l1_rlvect_1(A). [resolve(149,a,136,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c1,B,A,C,D) | E = c1. [resolve(149,a,137,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c1,B,A,C,D) | V7 = C. [resolve(149,a,138,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c1,B,A,C,D) | V8 = D. [resolve(149,a,139,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c1,B,A,C,D) | V6 = A. [resolve(149,a,140,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c1,B,A,C,D) | F = B. [resolve(149,a,141,a)]. 0.07/0.55 Derived: v3_struct_0(c1) | m1_subset_1(f8(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(149,a,142,a)]. 0.07/0.55 Derived: v3_struct_0(c1) | -v1_xboole_0(f8(c1)). [resolve(149,a,143,a)]. 0.07/0.55 Derived: v3_struct_0(c1) | -v1_xboole_0(u1_struct_0(c1)). [resolve(149,a,144,b)]. 0.07/0.55 Derived: v3_vectsp_2(f11(c1),c1). [resolve(149,a,145,a)]. 0.07/0.55 Derived: l1_vectsp_2(f11(c1),c1). [resolve(149,a,146,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_1(A) | l1_vectsp_2(g1_vectsp_2(c1,B,A,C,D),c1). [resolve(149,a,147,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -v1_funct_1(A) | v3_vectsp_2(g1_vectsp_2(c1,B,A,C,D),c1). [resolve(149,a,148,a)]. 0.07/0.55 150 -l1_rlvect_1(A) | l1_struct_0(A). [resolve(82,b,79,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | -v3_struct_0(f2(A)). [resolve(150,b,125,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | l1_vectsp_2(f2(A),A). [resolve(150,b,126,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | -v1_funct_1(B) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_2(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(D) | -m1_subset_1(E,C) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | v1_xboole_0(C) | -v3_struct_0(g1_vectsp_2(A,C,B,E,D)). [resolve(150,b,128,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | -v1_funct_1(B) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_2(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(D) | -m1_subset_1(E,C) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | v1_xboole_0(C) | v3_vectsp_2(g1_vectsp_2(A,C,B,E,D),A). [resolve(150,b,129,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | -l1_vectsp_2(B,A) | -v3_vectsp_2(B,A) | g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = B. [resolve(150,b,130,b)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | -l1_vectsp_2(B,A) | m2_relset_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(150,b,131,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | -l1_vectsp_2(B,A) | v1_funct_2(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(150,b,132,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | -l1_vectsp_2(B,A) | v1_funct_1(u1_vectsp_2(A,B)). [resolve(150,b,133,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | l1_vectsp_2(f6(A),A). [resolve(150,b,134,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | -l1_vectsp_2(B,A) | l1_rlvect_1(B). [resolve(150,b,136,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | F = A. [resolve(150,b,137,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V8 = D. [resolve(150,b,138,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V9 = E. [resolve(150,b,139,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V7 = B. [resolve(150,b,140,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V6 = C. [resolve(150,b,141,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | v3_struct_0(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(150,b,142,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | v3_struct_0(A) | -v1_xboole_0(f8(A)). [resolve(150,b,143,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(150,b,144,b)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | v3_vectsp_2(f11(A),A). [resolve(150,b,145,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | l1_vectsp_2(f11(A),A). [resolve(150,b,146,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -v1_funct_1(E) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(B) | l1_vectsp_2(g1_vectsp_2(A,C,B,D,E),A). [resolve(150,b,147,a)]. 0.07/0.55 Derived: -l1_rlvect_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -v1_funct_1(E) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(B) | v3_vectsp_2(g1_vectsp_2(A,C,B,D,E),A). [resolve(150,b,148,a)]. 0.07/0.55 151 -l2_vectsp_1(A) | l1_struct_0(A). [resolve(83,b,79,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | -v3_struct_0(f2(A)). [resolve(151,b,125,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | l1_vectsp_2(f2(A),A). [resolve(151,b,126,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | -v1_funct_1(B) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_2(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(D) | -m1_subset_1(E,C) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | v1_xboole_0(C) | -v3_struct_0(g1_vectsp_2(A,C,B,E,D)). [resolve(151,b,128,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | -v1_funct_1(B) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_2(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(D) | -m1_subset_1(E,C) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | v1_xboole_0(C) | v3_vectsp_2(g1_vectsp_2(A,C,B,E,D),A). [resolve(151,b,129,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | -v3_vectsp_2(B,A) | g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = B. [resolve(151,b,130,b)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | m2_relset_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(151,b,131,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | v1_funct_2(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(151,b,132,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | v1_funct_1(u1_vectsp_2(A,B)). [resolve(151,b,133,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | l1_vectsp_2(f6(A),A). [resolve(151,b,134,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | l1_rlvect_1(B). [resolve(151,b,136,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | F = A. [resolve(151,b,137,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V8 = D. [resolve(151,b,138,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V9 = E. [resolve(151,b,139,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V7 = B. [resolve(151,b,140,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V6 = C. [resolve(151,b,141,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(151,b,142,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(f8(A)). [resolve(151,b,143,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(151,b,144,b)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | v3_vectsp_2(f11(A),A). [resolve(151,b,145,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | l1_vectsp_2(f11(A),A). [resolve(151,b,146,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -v1_funct_1(E) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(B) | l1_vectsp_2(g1_vectsp_2(A,C,B,D,E),A). [resolve(151,b,147,a)]. 0.07/0.55 Derived: -l2_vectsp_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -v1_funct_1(E) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(B) | v3_vectsp_2(g1_vectsp_2(A,C,B,D,E),A). [resolve(151,b,148,a)]. 0.07/0.55 152 l1_struct_0(c8). [resolve(85,a,79,a)]. 0.07/0.55 Derived: -v3_struct_0(f2(c8)). [resolve(152,a,125,a)]. 0.07/0.55 Derived: l1_vectsp_2(f2(c8),c8). [resolve(152,a,126,a)]. 0.07/0.55 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_1(C) | -m1_subset_1(D,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | -v3_struct_0(g1_vectsp_2(c8,B,A,D,C)). [resolve(152,a,128,a)]. 0.07/0.55 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_1(C) | -m1_subset_1(D,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | v3_vectsp_2(g1_vectsp_2(c8,B,A,D,C),c8). [resolve(152,a,129,a)]. 0.07/0.55 Derived: -l1_vectsp_2(A,c8) | -v3_vectsp_2(A,c8) | g1_vectsp_2(c8,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_vectsp_2(c8,A)) = A. [resolve(152,a,130,b)]. 0.07/0.55 Derived: -l1_vectsp_2(A,c8) | m2_relset_1(u1_vectsp_2(c8,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c8)),u1_struct_0(A)). [resolve(152,a,131,a)]. 0.07/0.55 Derived: -l1_vectsp_2(A,c8) | v1_funct_2(u1_vectsp_2(c8,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c8)),u1_struct_0(A)). [resolve(152,a,132,a)]. 0.07/0.55 Derived: -l1_vectsp_2(A,c8) | v1_funct_1(u1_vectsp_2(c8,A)). [resolve(152,a,133,a)]. 0.07/0.55 Derived: l1_vectsp_2(f6(c8),c8). [resolve(152,a,134,a)]. 0.07/0.55 Derived: -l1_vectsp_2(A,c8) | l1_rlvect_1(A). [resolve(152,a,136,a)]. 0.07/0.55 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c8,B,A,C,D) | E = c8. [resolve(152,a,137,a)]. 0.07/0.56 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c8,B,A,C,D) | V7 = C. [resolve(152,a,138,a)]. 0.07/0.56 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c8,B,A,C,D) | V8 = D. [resolve(152,a,139,a)]. 0.07/0.56 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c8,B,A,C,D) | V6 = A. [resolve(152,a,140,a)]. 0.07/0.56 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c8,B,A,C,D) | F = B. [resolve(152,a,141,a)]. 0.07/0.56 Derived: v3_struct_0(c8) | m1_subset_1(f8(c8),k1_zfmisc_1(u1_struct_0(c8))). [resolve(152,a,142,a)]. 0.07/0.56 Derived: v3_struct_0(c8) | -v1_xboole_0(f8(c8)). [resolve(152,a,143,a)]. 0.07/0.56 Derived: v3_struct_0(c8) | -v1_xboole_0(u1_struct_0(c8)). [resolve(152,a,144,b)]. 0.07/0.56 Derived: v3_vectsp_2(f11(c8),c8). [resolve(152,a,145,a)]. 0.07/0.56 Derived: l1_vectsp_2(f11(c8),c8). [resolve(152,a,146,a)]. 0.07/0.56 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_1(A) | l1_vectsp_2(g1_vectsp_2(c8,B,A,C,D),c8). [resolve(152,a,147,a)]. 0.07/0.56 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c8)),B) | -v1_funct_1(A) | v3_vectsp_2(g1_vectsp_2(c8,B,A,C,D),c8). [resolve(152,a,148,a)]. 0.07/0.56 153 m2_relset_1(f5(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(23)]. 0.07/0.56 154 -m2_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) # label(dt_m2_relset_1) # label(axiom). [clausify(10)]. 0.07/0.56 Derived: m1_subset_1(f5(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(153,a,154,a)]. 0.07/0.56 155 -m1_relset_1(A,B,C) | m2_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(34)]. 0.07/0.56 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(155,b,154,a)]. 0.07/0.56 156 m1_relset_1(A,B,C) | -m2_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(34)]. 0.07/0.56 Derived: m1_relset_1(f5(A,B),A,B). [resolve(156,b,153,a)]. 0.07/0.56 157 -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)) # label(dt_u1_rlvect_1) # label(axiom). [clausify(44)]. 0.07/0.56 Derived: -l1_rlvect_1(A) | m1_subset_1(u1_rlvect_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))). [resolve(157,b,154,a)]. 0.07/0.56 Derived: -l1_rlvect_1(A) | m1_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(157,b,156,b)]. 0.07/0.56 158 -l1_vectsp_2(A,c2) | m2_relset_1(u1_vectsp_2(c2,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c2)),u1_struct_0(A)). [resolve(131,a,124,a)]. 0.07/0.56 Derived: -l1_vectsp_2(A,c2) | m1_subset_1(u1_vectsp_2(c2,A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c2)),u1_struct_0(A)))). [resolve(158,b,154,a)]. 0.07/0.56 Derived: -l1_vectsp_2(A,c2) | m1_relset_1(u1_vectsp_2(c2,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c2)),u1_struct_0(A)). [resolve(158,b,156,b)]. 0.07/0.56 159 -l1_vectsp_2(A,c3) | m2_relset_1(u1_vectsp_2(c3,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c3)),u1_struct_0(A)). [resolve(131,a,127,a)]. 0.07/0.56 Derived: -l1_vectsp_2(A,c3) | m1_subset_1(u1_vectsp_2(c3,A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c3)),u1_struct_0(A)))). [resolve(159,b,154,a)]. 0.07/0.57 Derived: -l1_vectsp_2(A,c3) | m1_relset_1(u1_vectsp_2(c3,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c3)),u1_struct_0(A)). [resolve(159,b,156,b)]. 0.07/0.57 160 -l1_group_1(A) | -l1_vectsp_2(B,A) | m2_relset_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(135,b,131,a)]. 0.07/0.57 Derived: -l1_group_1(A) | -l1_vectsp_2(B,A) | m1_subset_1(u1_vectsp_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)))). [resolve(160,c,154,a)]. 0.07/0.57 Derived: -l1_group_1(A) | -l1_vectsp_2(B,A) | m1_relset_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(160,c,156,b)]. 0.07/0.57 161 -l1_vectsp_2(A,c1) | m2_relset_1(u1_vectsp_2(c1,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c1)),u1_struct_0(A)). [resolve(149,a,131,a)]. 0.07/0.57 Derived: -l1_vectsp_2(A,c1) | m1_subset_1(u1_vectsp_2(c1,A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c1)),u1_struct_0(A)))). [resolve(161,b,154,a)]. 0.07/0.57 Derived: -l1_vectsp_2(A,c1) | m1_relset_1(u1_vectsp_2(c1,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c1)),u1_struct_0(A)). [resolve(161,b,156,b)]. 0.07/0.57 162 -l1_rlvect_1(A) | -l1_vectsp_2(B,A) | m2_relset_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(150,b,131,a)]. 0.07/0.57 Derived: -l1_rlvect_1(A) | -l1_vectsp_2(B,A) | m1_subset_1(u1_vectsp_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)))). [resolve(162,c,154,a)]. 0.07/0.57 Derived: -l1_rlvect_1(A) | -l1_vectsp_2(B,A) | m1_relset_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(162,c,156,b)]. 0.07/0.57 163 -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | m2_relset_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(151,b,131,a)]. 0.07/0.57 Derived: -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | m1_subset_1(u1_vectsp_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)))). [resolve(163,c,154,a)]. 0.07/0.57 Derived: -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | m1_relset_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(163,c,156,b)]. 0.07/0.57 164 -l1_vectsp_2(A,c8) | m2_relset_1(u1_vectsp_2(c8,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c8)),u1_struct_0(A)). [resolve(152,a,131,a)]. 0.07/0.57 Derived: -l1_vectsp_2(A,c8) | m1_subset_1(u1_vectsp_2(c8,A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c8)),u1_struct_0(A)))). [resolve(164,b,154,a)]. 0.07/0.57 Derived: -l1_vectsp_2(A,c8) | m1_relset_1(u1_vectsp_2(c8,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c8)),u1_struct_0(A)). [resolve(164,b,156,b)]. 0.07/0.57 165 -l2_vectsp_1(A) | -v7_group_1(A) | -v6_vectsp_1(A) | v3_struct_0(A) | v2_group_1(A). [resolve(72,b,73,a)]. 0.07/0.57 166 l2_vectsp_1(c4) # label(existence_l2_vectsp_1) # label(axiom). [clausify(18)]. 0.07/0.57 167 -l3_vectsp_1(A) | l2_vectsp_1(A) # label(dt_l3_vectsp_1) # label(axiom). [clausify(35)]. 0.07/0.57 Derived: -v7_group_1(c4) | -v6_vectsp_1(c4) | v3_struct_0(c4) | v2_group_1(c4). [resolve(165,a,166,a)]. 0.07/0.57 Derived: -v7_group_1(A) | -v6_vectsp_1(A) | v3_struct_0(A) | v2_group_1(A) | -l3_vectsp_1(A). [resolve(165,a,167,b)]. 0.07/0.57 168 -l2_vectsp_1(A) | -v7_group_1(A) | -v6_vectsp_1(A) | v3_struct_0(A) | v8_vectsp_1(A). [resolve(72,b,74,a)]. 0.07/0.57 Derived: -v7_group_1(c4) | -v6_vectsp_1(c4) | v3_struct_0(c4) | v8_vectsp_1(c4). [resolve(168,a,166,a)]. 0.07/0.57 Derived: -v7_group_1(A) | -v6_vectsp_1(A) | v3_struct_0(A) | v8_vectsp_1(A) | -l3_vectsp_1(A). [resolve(168,a,167,b)]. 0.07/0.57 169 -l2_vectsp_1(A) | l1_group_1(A). [resolve(72,b,75,a)]. 0.07/0.57 Derived: l1_group_1(c4). [resolve(169,a,166,a)]. 0.07/0.57 Derived: l1_group_1(A) | -l3_vectsp_1(A). [resolve(169,a,167,b)]. 0.07/0.57 170 -v8_vectsp_1(A) | -v7_group_1(A) | v3_struct_0(A) | v2_group_1(A) | -l2_vectsp_1(A). [resolve(76,a,72,b)]. 0.07/0.57 Derived: -v8_vectsp_1(c4) | -v7_group_1(c4) | v3_struct_0(c4) | v2_group_1(c4). [resolve(170,e,166,a)]. 0.07/0.57 Derived: -v8_vectsp_1(A) | -v7_group_1(A) | v3_struct_0(A) | v2_group_1(A) | -l3_vectsp_1(A). [resolve(170,e,167,b)]. 0.07/0.57 171 -v8_vectsp_1(A) | -v7_group_1(A) | v3_struct_0(A) | v6_vectsp_1(A) | -l2_vectsp_1(A). [resolve(77,a,72,b)]. 0.07/0.57 Derived: -v8_vectsp_1(c4) | -v7_group_1(c4) | v3_struct_0(c4) | v6_vectsp_1(c4). [resolve(171,e,166,a)]. 0.07/0.57 Derived: -v8_vectsp_1(A) | -v7_group_1(A) | v3_struct_0(A) | v6_vectsp_1(A) | -l3_vectsp_1(A). [resolve(171,e,167,b)]. 0.07/0.57 172 -l2_vectsp_1(A) | m1_subset_1(u2_struct_0(A),u1_struct_0(A)). [resolve(83,b,81,a)]. 0.07/0.57 Derived: m1_subset_1(u2_struct_0(c4),u1_struct_0(c4)). [resolve(172,a,166,a)]. 0.07/0.57 Derived: m1_subset_1(u2_struct_0(A),u1_struct_0(A)) | -l3_vectsp_1(A). [resolve(172,a,167,b)]. 0.07/0.57 173 m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) | -l2_vectsp_1(A). [resolve(84,a,83,b)]. 0.07/0.57 Derived: m1_subset_1(k1_rlvect_1(c4),u1_struct_0(c4)). [resolve(173,b,166,a)]. 0.07/0.57 Derived: m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) | -l3_vectsp_1(A). [resolve(173,b,167,b)]. 0.07/0.57 174 -l2_vectsp_1(A) | -v3_struct_0(f2(A)). [resolve(151,b,125,a)]. 0.07/0.57 Derived: -v3_struct_0(f2(c4)). [resolve(174,a,166,a)]. 0.07/0.57 Derived: -v3_struct_0(f2(A)) | -l3_vectsp_1(A). [resolve(174,a,167,b)]. 0.07/0.57 175 -l2_vectsp_1(A) | l1_vectsp_2(f2(A),A). [resolve(151,b,126,a)]. 0.07/0.57 Derived: l1_vectsp_2(f2(c4),c4). [resolve(175,a,166,a)]. 0.07/0.57 Derived: l1_vectsp_2(f2(A),A) | -l3_vectsp_1(A). [resolve(175,a,167,b)]. 0.07/0.57 176 -l2_vectsp_1(A) | -v1_funct_1(B) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_2(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(D) | -m1_subset_1(E,C) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | v1_xboole_0(C) | -v3_struct_0(g1_vectsp_2(A,C,B,E,D)). [resolve(151,b,128,a)]. 0.07/0.57 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_1(C) | -m1_subset_1(D,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | -v3_struct_0(g1_vectsp_2(c4,B,A,D,C)). [resolve(176,a,166,a)]. 0.07/0.57 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(D)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(D)),B) | -v1_funct_1(C) | -m1_subset_1(E,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | -v3_struct_0(g1_vectsp_2(D,B,A,E,C)) | -l3_vectsp_1(D). [resolve(176,a,167,b)]. 0.07/0.57 177 -l2_vectsp_1(A) | -v1_funct_1(B) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_2(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(D) | -m1_subset_1(E,C) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | v1_xboole_0(C) | v3_vectsp_2(g1_vectsp_2(A,C,B,E,D),A). [resolve(151,b,129,a)]. 0.07/0.57 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_1(C) | -m1_subset_1(D,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | v3_vectsp_2(g1_vectsp_2(c4,B,A,D,C),c4). [resolve(177,a,166,a)]. 0.07/0.57 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(D)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(D)),B) | -v1_funct_1(C) | -m1_subset_1(E,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | v3_vectsp_2(g1_vectsp_2(D,B,A,E,C),D) | -l3_vectsp_1(D). [resolve(177,a,167,b)]. 0.07/0.57 178 -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | -v3_vectsp_2(B,A) | g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = B. [resolve(151,b,130,b)]. 0.07/0.57 Derived: -l1_vectsp_2(A,c4) | -v3_vectsp_2(A,c4) | g1_vectsp_2(c4,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_vectsp_2(c4,A)) = A. [resolve(178,a,166,a)]. 0.07/0.57 Derived: -l1_vectsp_2(A,B) | -v3_vectsp_2(A,B) | g1_vectsp_2(B,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_vectsp_2(B,A)) = A | -l3_vectsp_1(B). [resolve(178,a,167,b)]. 0.07/0.57 179 -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | v1_funct_2(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(151,b,132,a)]. 0.07/0.57 Derived: -l1_vectsp_2(A,c4) | v1_funct_2(u1_vectsp_2(c4,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c4)),u1_struct_0(A)). [resolve(179,a,166,a)]. 0.07/0.57 Derived: -l1_vectsp_2(A,B) | v1_funct_2(u1_vectsp_2(B,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A)) | -l3_vectsp_1(B). [resolve(179,a,167,b)]. 0.07/0.57 180 -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | v1_funct_1(u1_vectsp_2(A,B)). [resolve(151,b,133,a)]. 0.07/0.57 Derived: -l1_vectsp_2(A,c4) | v1_funct_1(u1_vectsp_2(c4,A)). [resolve(180,a,166,a)]. 0.07/0.57 Derived: -l1_vectsp_2(A,B) | v1_funct_1(u1_vectsp_2(B,A)) | -l3_vectsp_1(B). [resolve(180,a,167,b)]. 0.07/0.57 181 -l2_vectsp_1(A) | l1_vectsp_2(f6(A),A). [resolve(151,b,134,a)]. 0.07/0.57 Derived: l1_vectsp_2(f6(c4),c4). [resolve(181,a,166,a)]. 0.07/0.57 Derived: l1_vectsp_2(f6(A),A) | -l3_vectsp_1(A). [resolve(181,a,167,b)]. 0.07/0.57 182 -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | l1_rlvect_1(B). [resolve(151,b,136,a)]. 0.07/0.57 Derived: -l1_vectsp_2(A,c4) | l1_rlvect_1(A). [resolve(182,a,166,a)]. 0.07/0.57 Derived: -l1_vectsp_2(A,B) | l1_rlvect_1(A) | -l3_vectsp_1(B). [resolve(182,a,167,b)]. 0.07/0.57 183 -l2_vectsp_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | F = A. [resolve(151,b,137,a)]. 0.07/0.57 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c4,B,A,C,D) | E = c4. [resolve(183,a,166,a)]. 0.07/0.57 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | F = E | -l3_vectsp_1(E). [resolve(183,a,167,b)]. 0.07/0.57 184 -l2_vectsp_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V8 = D. [resolve(151,b,138,a)]. 0.07/0.57 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c4,B,A,C,D) | V7 = C. [resolve(184,a,166,a)]. 0.07/0.57 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V8 = C | -l3_vectsp_1(E). [resolve(184,a,167,b)]. 0.07/0.57 185 -l2_vectsp_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V9 = E. [resolve(151,b,139,a)]. 0.07/0.57 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c4,B,A,C,D) | V8 = D. [resolve(185,a,166,a)]. 0.07/0.57 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V9 = D | -l3_vectsp_1(E). [resolve(185,a,167,b)]. 0.07/0.57 186 -l2_vectsp_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V7 = B. [resolve(151,b,140,a)]. 0.07/0.57 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c4,B,A,C,D) | V6 = A. [resolve(186,a,166,a)]. 0.07/0.57 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V7 = A | -l3_vectsp_1(E). [resolve(186,a,167,b)]. 0.07/0.57 187 -l2_vectsp_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(E) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_1(B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V6 = C. [resolve(151,b,141,a)]. 0.07/0.57 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c4,B,A,C,D) | F = B. [resolve(187,a,166,a)]. 0.07/0.57 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V6 = B | -l3_vectsp_1(E). [resolve(187,a,167,b)]. 0.07/0.57 188 -l2_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(151,b,142,a)]. 0.07/0.57 Derived: v3_struct_0(c4) | m1_subset_1(f8(c4),k1_zfmisc_1(u1_struct_0(c4))). [resolve(188,a,166,a)]. 0.07/0.57 Derived: v3_struct_0(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))) | -l3_vectsp_1(A). [resolve(188,a,167,b)]. 0.07/0.57 189 -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(f8(A)). [resolve(151,b,143,a)]. 0.07/0.57 Derived: v3_struct_0(c4) | -v1_xboole_0(f8(c4)). [resolve(189,a,166,a)]. 0.07/0.57 Derived: v3_struct_0(A) | -v1_xboole_0(f8(A)) | -l3_vectsp_1(A). [resolve(189,a,167,b)]. 0.07/0.57 190 -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(151,b,144,b)]. 0.07/0.57 Derived: v3_struct_0(c4) | -v1_xboole_0(u1_struct_0(c4)). [resolve(190,a,166,a)]. 0.07/0.57 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l3_vectsp_1(A). [resolve(190,a,167,b)]. 0.07/0.57 191 -l2_vectsp_1(A) | v3_vectsp_2(f11(A),A). [resolve(151,b,145,a)]. 0.07/0.57 Derived: v3_vectsp_2(f11(c4),c4). [resolve(191,a,166,a)]. 0.07/0.57 Derived: v3_vectsp_2(f11(A),A) | -l3_vectsp_1(A). [resolve(191,a,167,b)]. 0.07/0.57 192 -l2_vectsp_1(A) | l1_vectsp_2(f11(A),A). [resolve(151,b,146,a)]. 0.07/0.57 Derived: l1_vectsp_2(f11(c4),c4). [resolve(192,a,166,a)]. 0.07/0.57 Derived: l1_vectsp_2(f11(A),A) | -l3_vectsp_1(A). [resolve(192,a,167,b)]. 0.07/0.57 193 -l2_vectsp_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -v1_funct_1(E) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(B) | l1_vectsp_2(g1_vectsp_2(A,C,B,D,E),A). [resolve(151,b,147,a)]. 0.07/0.57 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_1(A) | l1_vectsp_2(g1_vectsp_2(c4,B,A,C,D),c4). [resolve(193,a,166,a)]. 0.07/0.57 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(A) | l1_vectsp_2(g1_vectsp_2(E,B,A,C,D),E) | -l3_vectsp_1(E). [resolve(193,a,167,b)]. 0.07/0.57 194 -l2_vectsp_1(A) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -m1_subset_1(D,C) | -v1_funct_1(E) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(B) | v3_vectsp_2(g1_vectsp_2(A,C,B,D,E),A). [resolve(151,b,148,a)]. 0.38/0.59 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -v1_funct_1(A) | v3_vectsp_2(g1_vectsp_2(c4,B,A,C,D),c4). [resolve(194,a,166,a)]. 0.38/0.59 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(A) | v3_vectsp_2(g1_vectsp_2(E,B,A,C,D),E) | -l3_vectsp_1(E). [resolve(194,a,167,b)]. 0.38/0.59 195 -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | m1_subset_1(u1_vectsp_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)))). [resolve(163,c,154,a)]. 0.38/0.59 Derived: -l1_vectsp_2(A,c4) | m1_subset_1(u1_vectsp_2(c4,A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c4)),u1_struct_0(A)))). [resolve(195,a,166,a)]. 0.38/0.59 Derived: -l1_vectsp_2(A,B) | m1_subset_1(u1_vectsp_2(B,A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A)))) | -l3_vectsp_1(B). [resolve(195,a,167,b)]. 0.38/0.59 196 -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | m1_relset_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(163,c,156,b)]. 0.38/0.59 Derived: -l1_vectsp_2(A,c4) | m1_relset_1(u1_vectsp_2(c4,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c4)),u1_struct_0(A)). [resolve(196,a,166,a)]. 0.38/0.59 Derived: -l1_vectsp_2(A,B) | m1_relset_1(u1_vectsp_2(B,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A)) | -l3_vectsp_1(B). [resolve(196,a,167,b)]. 0.38/0.59 197 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(67)]. 0.38/0.59 198 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(40)]. 0.38/0.59 199 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(67)]. 0.38/0.59 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(197,b,198,a)]. 0.38/0.59 200 -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). [clausify(64)]. 0.38/0.59 201 l1_group_1(c7) # label(existence_l1_group_1) # label(axiom). [clausify(48)]. 0.38/0.59 Derived: v3_struct_0(c7) | m1_subset_1(k2_group_1(c7),u1_struct_0(c7)). [resolve(200,a,201,a)]. 0.38/0.59 202 l1_group_1(c9). [resolve(78,a,75,a)]. 0.38/0.59 Derived: v3_struct_0(c9) | m1_subset_1(k2_group_1(c9),u1_struct_0(c9)). [resolve(202,a,200,a)]. 0.38/0.59 203 -l1_group_1(A) | -v3_struct_0(f2(A)). [resolve(135,b,125,a)]. 0.38/0.59 Derived: -v3_struct_0(f2(c7)). [resolve(203,a,201,a)]. 0.38/0.59 Derived: -v3_struct_0(f2(c9)). [resolve(203,a,202,a)]. 0.38/0.59 204 -l1_group_1(A) | l1_vectsp_2(f2(A),A). [resolve(135,b,126,a)]. 0.38/0.59 Derived: l1_vectsp_2(f2(c7),c7). [resolve(204,a,201,a)]. 0.38/0.59 Derived: l1_vectsp_2(f2(c9),c9). [resolve(204,a,202,a)]. 0.38/0.59 205 -l1_group_1(A) | -v1_funct_1(B) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_2(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(D) | -m1_subset_1(E,C) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | v1_xboole_0(C) | -v3_struct_0(g1_vectsp_2(A,C,B,E,D)). [resolve(135,b,128,a)]. 0.38/0.59 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_1(C) | -m1_subset_1(D,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | -v3_struct_0(g1_vectsp_2(c7,B,A,D,C)). [resolve(205,a,201,a)]. 0.38/0.59 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_1(C) | -m1_subset_1(D,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | -v3_struct_0(g1_vectsp_2(c9,B,A,D,C)). [resolve(205,a,202,a)]. 0.38/0.59 206 -l1_group_1(A) | -v1_funct_1(B) | -m1_relset_1(B,k2_zfmisc_1(C,C),C) | -v1_funct_2(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(D,k2_zfmisc_1(C,u1_struct_0(A)),C) | -v1_funct_1(D) | -m1_subset_1(E,C) | -v1_funct_2(B,k2_zfmisc_1(C,C),C) | v1_xboole_0(C) | v3_vectsp_2(g1_vectsp_2(A,C,B,E,D),A). [resolve(135,b,129,a)]. 0.38/0.60 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_1(C) | -m1_subset_1(D,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | v3_vectsp_2(g1_vectsp_2(c7,B,A,D,C),c7). [resolve(206,a,201,a)]. 0.38/0.60 Derived: -v1_funct_1(A) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_2(C,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -m1_relset_1(C,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_1(C) | -m1_subset_1(D,B) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | v1_xboole_0(B) | v3_vectsp_2(g1_vectsp_2(c9,B,A,D,C),c9). [resolve(206,a,202,a)]. 0.38/0.60 207 -l1_group_1(A) | -l1_vectsp_2(B,A) | -v3_vectsp_2(B,A) | g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = B. [resolve(135,b,130,b)]. 0.38/0.60 Derived: -l1_vectsp_2(A,c7) | -v3_vectsp_2(A,c7) | g1_vectsp_2(c7,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_vectsp_2(c7,A)) = A. [resolve(207,a,201,a)]. 0.38/0.60 Derived: -l1_vectsp_2(A,c9) | -v3_vectsp_2(A,c9) | g1_vectsp_2(c9,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_vectsp_2(c9,A)) = A. [resolve(207,a,202,a)]. 0.38/0.60 208 -l1_group_1(A) | -l1_vectsp_2(B,A) | v1_funct_2(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(135,b,132,a)]. 0.38/0.60 Derived: -l1_vectsp_2(A,c7) | v1_funct_2(u1_vectsp_2(c7,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c7)),u1_struct_0(A)). [resolve(208,a,201,a)]. 0.38/0.60 Derived: -l1_vectsp_2(A,c9) | v1_funct_2(u1_vectsp_2(c9,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c9)),u1_struct_0(A)). [resolve(208,a,202,a)]. 0.38/0.60 209 -l1_group_1(A) | -l1_vectsp_2(B,A) | v1_funct_1(u1_vectsp_2(A,B)). [resolve(135,b,133,a)]. 0.38/0.60 Derived: -l1_vectsp_2(A,c7) | v1_funct_1(u1_vectsp_2(c7,A)). [resolve(209,a,201,a)]. 0.38/0.60 Derived: -l1_vectsp_2(A,c9) | v1_funct_1(u1_vectsp_2(c9,A)). [resolve(209,a,202,a)]. 0.38/0.60 210 -l1_group_1(A) | l1_vectsp_2(f6(A),A). [resolve(135,b,134,a)]. 0.38/0.60 Derived: l1_vectsp_2(f6(c7),c7). [resolve(210,a,201,a)]. 0.38/0.60 Derived: l1_vectsp_2(f6(c9),c9). [resolve(210,a,202,a)]. 0.38/0.60 211 -l1_vectsp_2(A,B) | l1_rlvect_1(A) | -l1_group_1(B). [resolve(136,a,135,b)]. 0.38/0.60 Derived: -l1_vectsp_2(A,c7) | l1_rlvect_1(A). [resolve(211,c,201,a)]. 0.38/0.60 Derived: -l1_vectsp_2(A,c9) | l1_rlvect_1(A). [resolve(211,c,202,a)]. 0.38/0.60 212 -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | F = E | -l1_group_1(E). [resolve(137,a,135,b)]. 0.38/0.60 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c7,B,A,C,D) | E = c7. [resolve(212,j,201,a)]. 0.38/0.60 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c9,B,A,C,D) | E = c9. [resolve(212,j,202,a)]. 0.38/0.60 213 -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V8 = C | -l1_group_1(E). [resolve(138,a,135,b)]. 0.38/0.60 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c7,B,A,C,D) | V7 = C. [resolve(213,j,201,a)]. 0.38/0.60 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c9,B,A,C,D) | V7 = C. [resolve(213,j,202,a)]. 0.38/0.60 214 -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V9 = D | -l1_group_1(E). [resolve(139,a,135,b)]. 0.38/0.60 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c7,B,A,C,D) | V8 = D. [resolve(214,j,201,a)]. 0.38/0.60 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c9,B,A,C,D) | V8 = D. [resolve(214,j,202,a)]. 0.38/0.60 215 -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V7 = A | -l1_group_1(E). [resolve(140,a,135,b)]. 0.38/0.60 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c7,B,A,C,D) | V6 = A. [resolve(215,j,201,a)]. 0.38/0.60 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c9,B,A,C,D) | V6 = A. [resolve(215,j,202,a)]. 0.38/0.60 216 -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V6 = B | -l1_group_1(E). [resolve(141,a,135,b)]. 0.38/0.60 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c7,B,A,C,D) | F = B. [resolve(216,j,201,a)]. 0.38/0.60 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_1(D) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(A) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c9,B,A,C,D) | F = B. [resolve(216,j,202,a)]. 0.38/0.60 217 v3_struct_0(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_group_1(A). [resolve(142,a,135,b)]. 0.38/0.60 Derived: v3_struct_0(c7) | m1_subset_1(f8(c7),k1_zfmisc_1(u1_struct_0(c7))). [resolve(217,c,201,a)]. 0.38/0.60 Derived: v3_struct_0(c9) | m1_subset_1(f8(c9),k1_zfmisc_1(u1_struct_0(c9))). [resolve(217,c,202,a)]. 0.38/0.60 218 v3_struct_0(A) | -v1_xboole_0(f8(A)) | -l1_group_1(A). [resolve(143,a,135,b)]. 0.38/0.60 Derived: v3_struct_0(c7) | -v1_xboole_0(f8(c7)). [resolve(218,c,201,a)]. 0.38/0.60 Derived: v3_struct_0(c9) | -v1_xboole_0(f8(c9)). [resolve(218,c,202,a)]. 0.38/0.60 219 v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_group_1(A). [resolve(144,b,135,b)]. 0.38/0.60 Derived: v3_struct_0(c7) | -v1_xboole_0(u1_struct_0(c7)). [resolve(219,c,201,a)]. 0.38/0.60 Derived: v3_struct_0(c9) | -v1_xboole_0(u1_struct_0(c9)). [resolve(219,c,202,a)]. 0.38/0.60 220 v3_vectsp_2(f11(A),A) | -l1_group_1(A). [resolve(145,a,135,b)]. 0.38/0.60 Derived: v3_vectsp_2(f11(c7),c7). [resolve(220,b,201,a)]. 0.41/0.66 Derived: v3_vectsp_2(f11(c9),c9). [resolve(220,b,202,a)]. 0.41/0.66 221 l1_vectsp_2(f11(A),A) | -l1_group_1(A). [resolve(146,a,135,b)]. 0.41/0.66 Derived: l1_vectsp_2(f11(c7),c7). [resolve(221,b,201,a)]. 0.41/0.66 Derived: l1_vectsp_2(f11(c9),c9). [resolve(221,b,202,a)]. 0.41/0.66 222 -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(A) | l1_vectsp_2(g1_vectsp_2(E,B,A,C,D),E) | -l1_group_1(E). [resolve(147,a,135,b)]. 0.41/0.66 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_1(A) | l1_vectsp_2(g1_vectsp_2(c7,B,A,C,D),c7). [resolve(222,i,201,a)]. 0.41/0.66 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_1(A) | l1_vectsp_2(g1_vectsp_2(c9,B,A,C,D),c9). [resolve(222,i,202,a)]. 0.41/0.66 223 -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -v1_funct_1(A) | v3_vectsp_2(g1_vectsp_2(E,B,A,C,D),E) | -l1_group_1(E). [resolve(148,a,135,b)]. 0.41/0.66 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c7)),B) | -v1_funct_1(A) | v3_vectsp_2(g1_vectsp_2(c7,B,A,C,D),c7). [resolve(223,i,201,a)]. 0.41/0.66 Derived: -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -m1_subset_1(C,B) | -v1_funct_1(D) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c9)),B) | -v1_funct_1(A) | v3_vectsp_2(g1_vectsp_2(c9,B,A,C,D),c9). [resolve(223,i,202,a)]. 0.41/0.66 224 -l1_group_1(A) | -l1_vectsp_2(B,A) | m1_subset_1(u1_vectsp_2(A,B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)))). [resolve(160,c,154,a)]. 0.41/0.66 Derived: -l1_vectsp_2(A,c7) | m1_subset_1(u1_vectsp_2(c7,A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c7)),u1_struct_0(A)))). [resolve(224,a,201,a)]. 0.41/0.66 Derived: -l1_vectsp_2(A,c9) | m1_subset_1(u1_vectsp_2(c9,A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c9)),u1_struct_0(A)))). [resolve(224,a,202,a)]. 0.41/0.66 225 -l1_group_1(A) | -l1_vectsp_2(B,A) | m1_relset_1(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)). [resolve(160,c,156,b)]. 0.41/0.66 Derived: -l1_vectsp_2(A,c7) | m1_relset_1(u1_vectsp_2(c7,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c7)),u1_struct_0(A)). [resolve(225,a,201,a)]. 0.41/0.66 Derived: -l1_vectsp_2(A,c9) | m1_relset_1(u1_vectsp_2(c9,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c9)),u1_struct_0(A)). [resolve(225,a,202,a)]. 0.41/0.66 226 l1_group_1(c4). [resolve(169,a,166,a)]. 0.41/0.66 Derived: v3_struct_0(c4) | m1_subset_1(k2_group_1(c4),u1_struct_0(c4)). [resolve(226,a,200,a)]. 0.41/0.66 227 l1_group_1(A) | -l3_vectsp_1(A). [resolve(169,a,167,b)]. 0.41/0.66 Derived: -l3_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(k2_group_1(A),u1_struct_0(A)). [resolve(227,a,200,a)]. 0.41/0.66 0.41/0.66 ============================== end predicate elimination ============= 0.41/0.66 0.41/0.66 Auto_denials: (non-Horn, no changes). 0.41/0.66 0.41/0.66 Term ordering decisions: 0.41/0.66 Function symbol KB weights: k1_xboole_0=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. c13=1. c14=1. k2_zfmisc_1=1. u1_vectsp_2=1. k2_rmod_2=1. f5=1. f7=1. f9=1. f10=1. u1_struct_0=1. k1_zfmisc_1=1. u2_struct_0=1. u1_rlvect_1=1. k1_rlvect_1=1. k2_group_1=1. f1=1. f2=1. f3=1. f4=1. f6=1. f8=1. f11=1. f12=1. f13=1. k1_rmod_5=1. g1_vectsp_2=1. 0.41/0.66 0.41/0.66 ============================== end of process initial clauses ======== 0.41/0.66 0.41/0.66 ============================== CLAUSES FOR SEARCH ==================== 0.41/0.66 0.41/0.66 ============================== end of clauses for search ============= 2.29/2.54 2.29/2.54 ============================== SEARCH ================================ 2.29/2.54 2.29/2.54 % Starting search at 0.14 seconds. 2.29/2.54 2.29/2.54 Low Water (keep): wt=55.000, iters=3651 2.29/2.54 2.29/2.54 Low Water (keep): wt=53.000, iters=3523 2.29/2.54 2.29/2.54 Low Water (keep): wt=51.000, iters=3398 2.29/2.54 2.29/2.54 Low Water (keep): wt=48.000, iters=3358 2.29/2.54 2.29/2.54 Low Water (keep): wt=47.000, iters=3341 2.29/2.54 2.29/2.54 Low Water (keep): wt=45.000, iters=3480 2.29/2.54 2.29/2.54 Low Water (keep): wt=36.000, iters=3357 2.29/2.54 2.29/2.54 Low Water (keep): wt=30.000, iters=3349 2.29/2.54 2.29/2.54 Low Water (keep): wt=28.000, iters=3343 2.29/2.54 2.29/2.54 Low Water (keep): wt=26.000, iters=3342 2.29/2.54 2.29/2.54 Low Water (keep): wt=24.000, iters=3334 2.29/2.54 2.29/2.54 Low Water (keep): wt=22.000, iters=3337 2.29/2.54 2.29/2.54 Low Water (keep): wt=21.000, iters=3744 2.29/2.54 2.29/2.54 Low Water (keep): wt=20.000, iters=3699 2.29/2.54 2.29/2.54 Low Water (keep): wt=17.000, iters=3351 2.29/2.54 2.29/2.54 ============================== PROOF ================================= 2.29/2.54 % SZS status Theorem 2.29/2.54 % SZS output start Refutation 2.29/2.54 2.29/2.54 % Proof 1 at 2.01 (+ 0.02) seconds. 2.29/2.54 % Length of proof is 61. 2.29/2.54 % Level of proof is 8. 2.29/2.54 % Maximum clause weight is 38.000. 2.29/2.54 % Given clauses 3446. 2.29/2.54 2.29/2.54 5 (all A (l2_struct_0(A) -> l1_struct_0(A))) # label(dt_l2_struct_0) # label(axiom) # label(non_clause). [assumption]. 2.29/2.54 14 (all A (l1_rlvect_1(A) -> l2_struct_0(A))) # label(dt_l1_rlvect_1) # label(axiom) # label(non_clause). [assumption]. 2.29/2.54 22 (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]. 2.29/2.54 35 (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]. 2.29/2.54 40 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption]. 2.29/2.54 54 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v5_rlvect_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) & v7_group_1(A) & v4_group_1(A) & v6_rlvect_1(A) & v4_rlvect_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) -> (all D (v3_vectsp_2(D,A) & m1_rmod_2(D,A,B) -> (C = u1_struct_0(D) -> k2_group_1(A) = k1_rlvect_1(A) | k1_rmod_5(A,B,C) = D))))))))) # label(t13_rmod_5) # label(axiom) # label(non_clause). [assumption]. 2.29/2.54 59 (all A all B (v3_rlvect_1(A) & v4_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & -v3_struct_0(B) & v5_rlvect_1(A) & -v3_struct_0(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]. 2.29/2.54 62 (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_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) & v5_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & v6_rlvect_1(B) & v4_rlvect_1(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]. 2.29/2.54 67 (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]. 2.29/2.54 71 -(all A (v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v7_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -v10_vectsp_1(A) & v8_vectsp_1(A) & v6_vectsp_1(A) & v3_rlvect_1(A) & -v3_struct_0(A) -> (all B (v3_rlvect_1(B) & v4_rlvect_1(B) & v6_rlvect_1(B) & l1_vectsp_2(B,A) & v5_vectsp_2(B,A) & v3_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))) -> (C = u1_struct_0(B) -> k1_rlvect_1(A) = k2_group_1(A) | k1_rmod_5(A,B,C) = B))))))) # label(t14_rmod_5) # label(negated_conjecture) # label(non_clause). [assumption]. 2.29/2.54 79 -l2_struct_0(A) | l1_struct_0(A) # label(dt_l2_struct_0) # label(axiom). [clausify(5)]. 2.29/2.54 82 -l1_rlvect_1(A) | l2_struct_0(A) # label(dt_l1_rlvect_1) # label(axiom). [clausify(14)]. 2.29/2.54 86 v7_vectsp_1(c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 105 v3_struct_0(A) | -v3_rlvect_1(A) | -v5_rlvect_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) | -v7_group_1(A) | -v4_group_1(A) | -v6_rlvect_1(A) | -v4_rlvect_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_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) | -v3_vectsp_2(D,A) | -m1_rmod_2(D,A,B) | u1_struct_0(D) != C | k2_group_1(A) = k1_rlvect_1(A) | k1_rmod_5(A,B,C) = D # label(t13_rmod_5) # label(axiom). [clausify(54)]. 2.29/2.54 115 -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | -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) | -v5_rlvect_1(A) | v3_struct_0(A) | m1_rmod_2(k2_rmod_2(A,B),A,B) # label(dt_k2_rmod_2) # label(axiom). [clausify(59)]. 2.29/2.54 116 -v3_rlvect_1(A) | -v5_rlvect_1(A) | -v4_group_1(A) | -l3_vectsp_1(A) | -v8_vectsp_1(A) | -v7_vectsp_1(A) | -v6_vectsp_1(A) | -v6_rlvect_1(A) | -v4_rlvect_1(A) | v3_struct_0(A) | 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) | k2_rmod_2(A,B) = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) # label(d4_rmod_2) # label(axiom). [clausify(62)]. 2.29/2.54 130 -l1_vectsp_2(A,B) | -l1_struct_0(B) | -v3_vectsp_2(A,B) | g1_vectsp_2(B,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_vectsp_2(B,A)) = A # label(abstractness_v3_vectsp_2) # label(axiom). [clausify(22)]. 2.29/2.54 150 -l1_rlvect_1(A) | l1_struct_0(A). [resolve(82,b,79,a)]. 2.29/2.54 197 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(67)]. 2.29/2.54 198 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(40)]. 2.29/2.54 237 -l3_vectsp_1(A) | l1_rlvect_1(A) # label(dt_l3_vectsp_1) # label(axiom). [clausify(35)]. 2.29/2.54 254 v4_rlvect_1(c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 255 v5_rlvect_1(c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 256 v6_rlvect_1(c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 257 v4_group_1(c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 258 v7_group_1(c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 259 v2_vectsp_2(c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 260 l3_vectsp_1(c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 261 -v10_vectsp_1(c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 262 v8_vectsp_1(c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 263 v6_vectsp_1(c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 264 v3_rlvect_1(c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 265 -v3_struct_0(c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 266 v3_rlvect_1(c13) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 267 v4_rlvect_1(c13) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 268 v6_rlvect_1(c13) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 269 l1_vectsp_2(c13,c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 270 v5_vectsp_2(c13,c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 271 v3_vectsp_2(c13,c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 272 v5_rlvect_1(c13) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 273 -v3_struct_0(c13) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 275 u1_struct_0(c13) = c14 # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 276 c14 = u1_struct_0(c13). [copy(275),flip(a)]. 2.29/2.54 277 k2_group_1(c12) != k1_rlvect_1(c12) # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 278 k1_rmod_5(c12,c13,c14) != c13 # label(t14_rmod_5) # label(negated_conjecture). [clausify(71)]. 2.29/2.54 279 k1_rmod_5(c12,c13,u1_struct_0(c13)) != c13. [copy(278),rewrite([276(3)])]. 2.29/2.54 324 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v2_vectsp_2(c12) | v10_vectsp_1(c12) | -v7_group_1(c12) | -v4_group_1(c12) | -v6_rlvect_1(c12) | -v4_rlvect_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -v3_vectsp_2(C,c12) | -m1_rmod_2(C,c12,A) | u1_struct_0(C) != B | k2_group_1(c12) = k1_rlvect_1(c12) | k1_rmod_5(c12,A,B) = C. [resolve(86,a,105,i)]. 2.29/2.54 325 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -v3_vectsp_2(C,c12) | -m1_rmod_2(C,c12,A) | u1_struct_0(C) != B | k1_rmod_5(c12,A,B) = C. [copy(324),unit_del(a,265),unit_del(b,264),unit_del(c,255),unit_del(d,263),unit_del(e,262),unit_del(f,260),unit_del(g,259),unit_del(h,261),unit_del(i,258),unit_del(j,257),unit_del(k,256),unit_del(l,254),unit_del(x,277)]. 2.29/2.54 344 -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -v6_rlvect_1(A) | v3_struct_0(A) | -v5_rlvect_1(c12) | v3_struct_0(c12) | m1_rmod_2(k2_rmod_2(c12,A),c12,A). [resolve(86,a,115,f)]. 2.29/2.54 345 -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -v6_rlvect_1(A) | v3_struct_0(A) | m1_rmod_2(k2_rmod_2(c12,A),c12,A). [copy(344),unit_del(a,264),unit_del(b,254),unit_del(c,256),unit_del(d,257),unit_del(e,263),unit_del(f,262),unit_del(g,260),unit_del(o,255),unit_del(p,265)]. 2.29/2.54 346 -v3_rlvect_1(c12) | -v5_rlvect_1(c12) | -v4_group_1(c12) | -l3_vectsp_1(c12) | -v8_vectsp_1(c12) | -v6_vectsp_1(c12) | -v6_rlvect_1(c12) | -v4_rlvect_1(c12) | v3_struct_0(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v5_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -v6_rlvect_1(A) | -v4_rlvect_1(A) | k2_rmod_2(c12,A) = g1_vectsp_2(c12,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_vectsp_2(c12,A)). [resolve(86,a,116,f)]. 2.29/2.54 347 v3_struct_0(A) | -v3_rlvect_1(A) | -v5_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -v6_rlvect_1(A) | -v4_rlvect_1(A) | g1_vectsp_2(c12,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_vectsp_2(c12,A)) = k2_rmod_2(c12,A). [copy(346),flip(q),unit_del(a,264),unit_del(b,255),unit_del(c,257),unit_del(d,260),unit_del(e,262),unit_del(f,263),unit_del(g,256),unit_del(h,254),unit_del(i,265)]. 2.29/2.54 447 -l1_rlvect_1(A) | -l1_vectsp_2(B,A) | -v3_vectsp_2(B,A) | g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B)) = B. [resolve(150,b,130,b)]. 2.29/2.54 567 m1_subset_1(A,k1_zfmisc_1(A)). [resolve(197,b,198,a)]. 2.29/2.54 801 l1_rlvect_1(c12). [resolve(260,a,237,a)]. 2.29/2.54 833 m1_rmod_2(k2_rmod_2(c12,c13),c12,c13). [resolve(345,d,270,a),unit_del(a,266),unit_del(b,267),unit_del(c,272),unit_del(d,269),unit_del(e,268),unit_del(f,273)]. 2.29/2.54 835 g1_vectsp_2(c12,u1_struct_0(c13),u1_rlvect_1(c13),u2_struct_0(c13),u1_vectsp_2(c12,c13)) = k2_rmod_2(c12,c13). [resolve(347,d,270,a),unit_del(a,273),unit_del(b,266),unit_del(c,272),unit_del(d,269),unit_del(e,268),unit_del(f,267)]. 2.29/2.54 873 k2_rmod_2(c12,c13) = c13. [resolve(447,c,271,a),rewrite([835(16)]),unit_del(a,801),unit_del(b,269)]. 2.29/2.54 877 m1_rmod_2(c13,c12,c13). [back_rewrite(833),rewrite([873(3)])]. 2.29/2.54 1642 -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | u1_struct_0(c13) != A | k1_rmod_5(c12,c13,A) = c13. [resolve(877,a,325,j),unit_del(a,273),unit_del(b,266),unit_del(c,267),unit_del(d,272),unit_del(e,268),unit_del(f,270),unit_del(g,269),unit_del(i,271)]. 2.29/2.54 12608 $F. [resolve(1642,a,567,a),xx(a),unit_del(a,279)]. 2.29/2.55 2.29/2.55 % SZS output end Refutation 2.29/2.55 ============================== end of proof ========================== 2.29/2.55 2.29/2.55 ============================== STATISTICS ============================ 2.29/2.55 2.29/2.55 Given=3446. Generated=17807. Kept=12300. proofs=1. 2.29/2.55 Usable=3440. Sos=6758. Demods=103. Limbo=2, Disabled=2583. Hints=0. 2.29/2.55 Megabytes=15.41. 2.29/2.55 User_CPU=2.01, System_CPU=0.02, Wall_clock=2. 2.29/2.55 2.29/2.55 ============================== end of statistics ===================== 2.29/2.55 2.29/2.55 ============================== end of search ========================= 2.29/2.55 2.29/2.55 THEOREM PROVED 2.29/2.55 % SZS status Theorem 2.29/2.55 2.29/2.55 Exiting with 1 proof. 2.29/2.55 2.29/2.55 Process 46151 exit (max_proofs) Sat Jul 14 04:30:57 2018 2.29/2.55 Prover9 interrupted 2.29/2.55 EOF