0.05/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.11 % Command : tptp2X_and_run_prover9 %d %s 0.11/0.31 % Computer : n010.cluster.edu 0.11/0.31 % Model : x86_64 x86_64 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.31 % Memory : 8042.1875MB 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.31 % CPULimit : 960 0.11/0.31 % DateTime : Thu Jul 2 15:46:12 EDT 2020 0.11/0.31 % CPUTime : 0.71/1.05 ============================== Prover9 =============================== 0.71/1.05 Prover9 (32) version 2009-11A, November 2009. 0.71/1.05 Process 17881 was started by sandbox2 on n010.cluster.edu, 0.71/1.05 Thu Jul 2 15:46:13 2020 0.71/1.05 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_17695_n010.cluster.edu". 0.71/1.05 ============================== end of head =========================== 0.71/1.05 0.71/1.05 ============================== INPUT ================================= 0.71/1.05 0.71/1.05 % Reading from file /tmp/Prover9_17695_n010.cluster.edu 0.71/1.05 0.71/1.05 set(prolog_style_variables). 0.71/1.05 set(auto2). 0.71/1.05 % set(auto2) -> set(auto). 0.71/1.05 % set(auto) -> set(auto_inference). 0.71/1.05 % set(auto) -> set(auto_setup). 0.71/1.05 % set(auto_setup) -> set(predicate_elim). 0.71/1.05 % set(auto_setup) -> assign(eq_defs, unfold). 0.71/1.05 % set(auto) -> set(auto_limits). 0.71/1.05 % set(auto_limits) -> assign(max_weight, "100.000"). 0.71/1.05 % set(auto_limits) -> assign(sos_limit, 20000). 0.71/1.05 % set(auto) -> set(auto_denials). 0.71/1.05 % set(auto) -> set(auto_process). 0.71/1.05 % set(auto2) -> assign(new_constants, 1). 0.71/1.05 % set(auto2) -> assign(fold_denial_max, 3). 0.71/1.05 % set(auto2) -> assign(max_weight, "200.000"). 0.71/1.05 % set(auto2) -> assign(max_hours, 1). 0.71/1.05 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.71/1.05 % set(auto2) -> assign(max_seconds, 0). 0.71/1.05 % set(auto2) -> assign(max_minutes, 5). 0.71/1.05 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.71/1.05 % set(auto2) -> set(sort_initial_sos). 0.71/1.05 % set(auto2) -> assign(sos_limit, -1). 0.71/1.05 % set(auto2) -> assign(lrs_ticks, 3000). 0.71/1.05 % set(auto2) -> assign(max_megs, 400). 0.71/1.05 % set(auto2) -> assign(stats, some). 0.71/1.05 % set(auto2) -> clear(echo_input). 0.71/1.05 % set(auto2) -> set(quiet). 0.71/1.05 % set(auto2) -> clear(print_initial_clauses). 0.71/1.05 % set(auto2) -> clear(print_given). 0.71/1.05 assign(lrs_ticks,-1). 0.71/1.05 assign(sos_limit,10000). 0.71/1.05 assign(order,kbo). 0.71/1.05 set(lex_order_vars). 0.71/1.05 clear(print_given). 0.71/1.05 0.71/1.05 % formulas(sos). % not echoed (62 formulas) 0.71/1.05 0.71/1.05 ============================== end of input ========================== 0.71/1.05 0.71/1.05 % From the command line: assign(max_seconds, 960). 0.71/1.05 0.71/1.05 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.71/1.06 0.71/1.06 % Formulas that are not ordinary clauses: 0.71/1.06 1 (all A (-v3_struct_0(A) & l1_orders_2(A) -> (all B (l1_orders_2(B) & -v3_struct_0(B) -> (all C (r2_hidden(C,k3_xboole_0(u1_struct_0(A),u1_struct_0(B))) -> m1_subset_1(C,u1_struct_0(B)))))))) # label(t13_latsum_1) # label(axiom) # label(non_clause). [assumption]. 0.71/1.06 2 (all A (v4_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> ((all E (m1_subset_1(E,u1_struct_0(A)) -> (r1_orders_2(A,C,E) & r1_orders_2(A,B,E) -> r1_orders_2(A,D,E)))) & r1_orders_2(A,C,D) & r1_orders_2(A,B,D) <-> D = k13_lattice3(A,B,C)))))))))) # label(t22_yellow_0) # label(axiom) # label(non_clause). [assumption]. 0.71/1.06 3 (all A (l1_orders_2(A) -> (v1_orders_2(A) -> A = g1_orders_2(u1_struct_0(A),u1_orders_2(A))))) # label(abstractness_v1_orders_2) # label(axiom) # label(non_clause). [assumption]. 0.71/1.06 4 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.71/1.06 5 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(C)) & r2_hidden(A,B) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption]. 0.71/1.06 6 (all A all B (l1_orders_2(B) & -v3_struct_0(B) & l1_orders_2(A) -> -v3_struct_0(k1_latsum_1(A,B)) & v1_orders_2(k1_latsum_1(A,B)))) # label(fc1_latsum_1) # label(axiom) # label(non_clause). [assumption]. 0.71/1.06 7 (all A all B all C (l1_orders_2(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k10_lattice3(A,B,C),u1_struct_0(A)))) # label(dt_k10_lattice3) # label(axiom) # label(non_clause). [assumption]. 0.71/1.06 8 (all A all B k3_xboole_0(A,B) = k3_xboole_0(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.71/1.06 9 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.71/1.06 10 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption]. 0.71/1.06 11 (all A k1_xboole_0 = k3_xboole_0(A,k1_xboole_0)) # label(t2_boole) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 12 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 13 (all A (l1_orders_2(A) & -v3_struct_0(A) -> (all B (l1_orders_2(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (E = C & F = D & r1_latsum_1(A,B) & v3_orders_2(B) & v3_orders_2(A) -> (r1_orders_2(B,E,F) <-> r1_orders_2(A,C,D))))))))))))))) # label(t15_latsum_1) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 14 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 15 (all A (l1_orders_2(A) & -v3_struct_0(A) -> (all B (l1_orders_2(B) & -v3_struct_0(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(k1_latsum_1(A,B))) -> (all F (m1_subset_1(F,u1_struct_0(k1_latsum_1(A,B))) -> (r1_latsum_1(A,B) & v3_orders_2(A) & D = F & E = C -> (r1_orders_2(k1_latsum_1(A,B),E,F) <-> r1_orders_2(A,C,D))))))))))))))) # label(t8_latsum_1) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 16 (all A (v3_orders_2(A) & l1_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (exists B (-v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc9_waybel_0) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 17 (exists A l1_orders_2(A)) # label(existence_l1_orders_2) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 18 (all A all B all C (-v3_struct_0(A) & v2_orders_2(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_orders_2(A) -> r3_orders_2(A,B,B))) # label(reflexivity_r3_orders_2) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 19 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 20 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 21 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 22 (all A (l1_orders_2(A) -> l1_struct_0(A))) # label(dt_l1_orders_2) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 23 (all A (-v3_struct_0(A) & l1_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]. 0.75/1.06 24 (all A all B all C (v4_orders_2(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & l1_orders_2(A) & v1_lattice3(A) -> k10_lattice3(A,B,C) = k13_lattice3(A,B,C))) # label(redefinition_k13_lattice3) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 25 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 26 (all A all B all C (v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & v1_lattice3(A) -> m1_subset_1(k13_lattice3(A,B,C),u1_struct_0(A)))) # label(dt_k13_lattice3) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 27 (all A all B all C ((all D (r2_hidden(D,C) <-> r2_hidden(D,B) & r2_hidden(D,A))) <-> k3_xboole_0(A,B) = C)) # label(d3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 28 (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]. 0.75/1.06 29 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 30 (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]. 0.75/1.06 31 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 32 (all A all B (m1_relset_1(B,A,A) -> (all C all D (g1_orders_2(C,D) = g1_orders_2(A,B) -> C = A & B = D)))) # label(free_g1_orders_2) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 33 (all A all B (m1_relset_1(B,A,A) -> l1_orders_2(g1_orders_2(A,B)) & v1_orders_2(g1_orders_2(A,B)))) # label(dt_g1_orders_2) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 34 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 35 (all A (l1_orders_2(A) & -v3_struct_0(A) -> (exists B (-v1_xboole_0(B) & v13_waybel_0(B,A) & v12_waybel_0(B,A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(rc8_waybel_0) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 36 (all A all B (-v3_struct_0(A) & l1_orders_2(B) & l1_orders_2(A) -> -v3_struct_0(k1_latsum_1(A,B)) & v1_orders_2(k1_latsum_1(A,B)))) # label(fc2_latsum_1) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 37 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 38 (all A all B all C (v4_orders_2(A) & l1_orders_2(A) & m1_subset_1(C,u1_struct_0(A)) & m1_subset_1(B,u1_struct_0(A)) & v1_lattice3(A) -> k13_lattice3(A,B,C) = k13_lattice3(A,C,B))) # label(commutativity_k13_lattice3) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 39 (all A all B (l1_orders_2(A) & l1_orders_2(B) -> v1_orders_2(k1_latsum_1(A,B)) & l1_orders_2(k1_latsum_1(A,B)))) # label(dt_k1_latsum_1) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 40 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 41 (all A (l1_orders_2(A) -> (all B (l1_orders_2(B) -> (all C (m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B))) -> (all D (m1_subset_1(D,u1_struct_0(k1_latsum_1(A,B))) -> (v13_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),A) & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(A))) & r2_hidden(C,u1_struct_0(B)) & r1_orders_2(k1_latsum_1(A,B),C,D) -> r2_hidden(D,u1_struct_0(B))))))))))) # label(t18_latsum_1) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 42 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 43 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 44 (all A all B all C -(r2_hidden(A,B) & v1_xboole_0(C) & m1_subset_1(B,k1_zfmisc_1(C)))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 45 (all A (l1_orders_2(A) -> m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_u1_orders_2) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 46 (all A all B -(v1_xboole_0(A) & v1_xboole_0(B) & B != A)) # label(t8_boole) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 47 (all A all B (r1_tarski(A,B) <-> m1_subset_1(A,k1_zfmisc_1(B)))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 48 (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]. 0.75/1.06 49 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 50 (all A all B all C (m2_relset_1(C,A,B) <-> m1_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 51 (all A (v3_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & v4_orders_2(A) & v2_orders_2(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v2_orders_2(B) & v4_orders_2(B) & l1_orders_2(B) & v1_lattice3(B) & v3_orders_2(B) -> (all C (r2_hidden(C,u1_struct_0(A)) -> m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B))))))))) # label(t10_latsum_1) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 52 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 53 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 54 (all A all B A = k3_xboole_0(A,A)) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 55 (all A (-v3_struct_0(A) & v4_orders_2(A) & l1_orders_2(A) & v1_lattice3(A) & v3_orders_2(A) & v2_orders_2(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v12_waybel_0(B,A) & v1_waybel_0(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(D,B) & r2_hidden(C,B) -> r2_hidden(k13_lattice3(A,C,D),B)))))))))) # label(t16_latsum_1) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 56 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 57 (all A all B all C (l1_orders_2(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) & v2_orders_2(A) & -v3_struct_0(A) -> (r1_orders_2(A,B,C) <-> r3_orders_2(A,B,C)))) # label(redefinition_r3_orders_2) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 58 (all A (v2_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & l1_orders_2(A) & v3_orders_2(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_orders_2(A,B,D) & r3_orders_2(A,C,D) -> r3_orders_2(A,k13_lattice3(A,B,C),D)))))))))) # label(t9_yellow_5) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 59 (all A (l1_struct_0(A) & -v3_struct_0(A) -> -v1_xboole_0(u1_struct_0(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 60 (all A (l1_orders_2(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v13_waybel_0(B,A) & v12_waybel_0(B,A))))) # label(rc7_waybel_0) # label(axiom) # label(non_clause). [assumption]. 0.75/1.06 61 -(all A (v2_orders_2(A) & l1_orders_2(A) & v1_lattice3(A) & v4_orders_2(A) & v3_orders_2(A) & -v3_struct_0(A) -> (all B (-v3_struct_0(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & l1_orders_2(B) & v2_orders_2(B) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (v1_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B) & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B))) & v13_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),A) & m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(A))) & r1_latsum_1(A,B) & D = F & C = E & v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B) -> k13_lattice3(B,E,F) = k13_lattice3(A,C,D)))))))))))))) # label(t19_latsum_1) # label(negated_conjecture) # label(non_clause). [assumption]. 0.75/1.06 0.75/1.06 ============================== end of process non-clausal formulas === 0.75/1.06 0.75/1.06 ============================== PROCESS INITIAL CLAUSES =============== 0.75/1.06 0.75/1.06 ============================== PREDICATE ELIMINATION ================= 0.75/1.06 62 -l1_orders_2(A) | v3_struct_0(A) | -l1_orders_2(B) | v1_orders_2(k1_latsum_1(B,A)) # label(fc1_latsum_1) # label(axiom). [clausify(6)]. 0.75/1.06 63 -l1_orders_2(A) | -v1_orders_2(A) | g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = A # label(abstractness_v1_orders_2) # label(axiom). [clausify(3)]. 0.75/1.06 Derived: -l1_orders_2(A) | v3_struct_0(A) | -l1_orders_2(B) | -l1_orders_2(k1_latsum_1(B,A)) | g1_orders_2(u1_struct_0(k1_latsum_1(B,A)),u1_orders_2(k1_latsum_1(B,A))) = k1_latsum_1(B,A). [resolve(62,d,63,b)]. 0.75/1.06 64 -m1_relset_1(A,B,B) | v1_orders_2(g1_orders_2(B,A)) # label(dt_g1_orders_2) # label(axiom). [clausify(33)]. 0.75/1.06 Derived: -m1_relset_1(A,B,B) | -l1_orders_2(g1_orders_2(B,A)) | g1_orders_2(u1_struct_0(g1_orders_2(B,A)),u1_orders_2(g1_orders_2(B,A))) = g1_orders_2(B,A). [resolve(64,b,63,b)]. 0.75/1.06 65 v3_struct_0(A) | -l1_orders_2(B) | -l1_orders_2(A) | v1_orders_2(k1_latsum_1(A,B)) # label(fc2_latsum_1) # label(axiom). [clausify(36)]. 0.75/1.06 Derived: v3_struct_0(A) | -l1_orders_2(B) | -l1_orders_2(A) | -l1_orders_2(k1_latsum_1(A,B)) | g1_orders_2(u1_struct_0(k1_latsum_1(A,B)),u1_orders_2(k1_latsum_1(A,B))) = k1_latsum_1(A,B). [resolve(65,d,63,b)]. 0.75/1.06 66 -l1_orders_2(A) | -l1_orders_2(B) | v1_orders_2(k1_latsum_1(A,B)) # label(dt_k1_latsum_1) # label(axiom). [clausify(39)]. 0.75/1.06 Derived: -l1_orders_2(A) | -l1_orders_2(B) | -l1_orders_2(k1_latsum_1(A,B)) | g1_orders_2(u1_struct_0(k1_latsum_1(A,B)),u1_orders_2(k1_latsum_1(A,B))) = k1_latsum_1(A,B). [resolve(66,c,63,b)]. 0.75/1.06 67 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f4(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(23)]. 0.75/1.06 68 l1_struct_0(c1) # label(rc3_struct_0) # label(axiom). [clausify(4)]. 0.75/1.06 69 -l1_orders_2(A) | l1_struct_0(A) # label(dt_l1_orders_2) # label(axiom). [clausify(22)]. 0.75/1.06 Derived: v3_struct_0(c1) | m1_subset_1(f4(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(67,b,68,a)]. 0.75/1.06 Derived: v3_struct_0(A) | m1_subset_1(f4(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_orders_2(A). [resolve(67,b,69,b)]. 0.75/1.06 70 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f4(A)) # label(rc5_struct_0) # label(axiom). [clausify(23)]. 0.75/1.06 Derived: v3_struct_0(c1) | -v1_xboole_0(f4(c1)). [resolve(70,b,68,a)]. 0.75/1.06 Derived: v3_struct_0(A) | -v1_xboole_0(f4(A)) | -l1_orders_2(A). [resolve(70,b,69,b)]. 0.75/1.06 71 l1_struct_0(c5) # label(existence_l1_struct_0) # label(axiom). [clausify(52)]. 0.75/1.06 Derived: v3_struct_0(c5) | m1_subset_1(f4(c5),k1_zfmisc_1(u1_struct_0(c5))). [resolve(71,a,67,b)]. 0.75/1.06 Derived: v3_struct_0(c5) | -v1_xboole_0(f4(c5)). [resolve(71,a,70,b)]. 0.75/1.06 72 -l1_struct_0(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(59)]. 0.75/1.06 Derived: v3_struct_0(c1) | -v1_xboole_0(u1_struct_0(c1)). [resolve(72,a,68,a)]. 0.75/1.06 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_orders_2(A). [resolve(72,a,69,b)]. 0.75/1.06 Derived: v3_struct_0(c5) | -v1_xboole_0(u1_struct_0(c5)). [resolve(72,a,71,a)]. 0.75/1.06 73 r1_latsum_1(c6,c7) # label(t19_latsum_1) # label(negated_conjecture). [clausify(61)]. 0.75/1.06 74 -l1_orders_2(A) | v3_struct_0(A) | -l1_orders_2(B) | v3_struct_0(B) | -m1_subset_1(C,u1_struct_0(A)) | -m1_subset_1(D,u1_struct_0(A)) | -m1_subset_1(E,u1_struct_0(B)) | -m1_subset_1(F,u1_struct_0(B)) | E != C | F != D | -r1_latsum_1(A,B) | -v3_orders_2(B) | -v3_orders_2(A) | -r1_orders_2(B,E,F) | r1_orders_2(A,C,D) # label(t15_latsum_1) # label(axiom). [clausify(13)]. 0.75/1.06 75 -l1_orders_2(A) | v3_struct_0(A) | -l1_orders_2(B) | v3_struct_0(B) | -m1_subset_1(C,u1_struct_0(A)) | -m1_subset_1(D,u1_struct_0(A)) | -m1_subset_1(E,u1_struct_0(B)) | -m1_subset_1(F,u1_struct_0(B)) | E != C | F != D | -r1_latsum_1(A,B) | -v3_orders_2(B) | -v3_orders_2(A) | r1_orders_2(B,E,F) | -r1_orders_2(A,C,D) # label(t15_latsum_1) # label(axiom). [clausify(13)]. 0.75/1.06 76 -l1_orders_2(A) | v3_struct_0(A) | -l1_orders_2(B) | v3_struct_0(B) | -m1_subset_1(C,u1_struct_0(A)) | -m1_subset_1(D,u1_struct_0(A)) | -m1_subset_1(E,u1_struct_0(k1_latsum_1(A,B))) | -m1_subset_1(F,u1_struct_0(k1_latsum_1(A,B))) | -r1_latsum_1(A,B) | -v3_orders_2(A) | F != D | E != C | -r1_orders_2(k1_latsum_1(A,B),E,F) | r1_orders_2(A,C,D) # label(t8_latsum_1) # label(axiom). [clausify(15)]. 0.75/1.06 77 -l1_orders_2(A) | v3_struct_0(A) | -l1_orders_2(B) | v3_struct_0(B) | -m1_subset_1(C,u1_struct_0(A)) | -m1_subset_1(D,u1_struct_0(A)) | -m1_subset_1(E,u1_struct_0(k1_latsum_1(A,B))) | -m1_subset_1(F,u1_struct_0(k1_latsum_1(A,B))) | -r1_latsum_1(A,B) | -v3_orders_2(A) | F != D | E != C | r1_orders_2(k1_latsum_1(A,B),E,F) | -r1_orders_2(A,C,D) # label(t8_latsum_1) # label(axiom). [clausify(15)]. 0.75/1.06 Derived: -l1_orders_2(c6) | v3_struct_0(c6) | -l1_orders_2(c7) | v3_struct_0(c7) | -m1_subset_1(A,u1_struct_0(c6)) | -m1_subset_1(B,u1_struct_0(c6)) | -m1_subset_1(C,u1_struct_0(c7)) | -m1_subset_1(D,u1_struct_0(c7)) | C != A | D != B | -v3_orders_2(c7) | -v3_orders_2(c6) | -r1_orders_2(c7,C,D) | r1_orders_2(c6,A,B). [resolve(73,a,74,k)]. 0.75/1.06 Derived: -l1_orders_2(c6) | v3_struct_0(c6) | -l1_orders_2(c7) | v3_struct_0(c7) | -m1_subset_1(A,u1_struct_0(c6)) | -m1_subset_1(B,u1_struct_0(c6)) | -m1_subset_1(C,u1_struct_0(c7)) | -m1_subset_1(D,u1_struct_0(c7)) | C != A | D != B | -v3_orders_2(c7) | -v3_orders_2(c6) | r1_orders_2(c7,C,D) | -r1_orders_2(c6,A,B). [resolve(73,a,75,k)]. 0.75/1.06 Derived: -l1_orders_2(c6) | v3_struct_0(c6) | -l1_orders_2(c7) | v3_struct_0(c7) | -m1_subset_1(A,u1_struct_0(c6)) | -m1_subset_1(B,u1_struct_0(c6)) | -m1_subset_1(C,u1_struct_0(k1_latsum_1(c6,c7))) | -m1_subset_1(D,u1_struct_0(k1_latsum_1(c6,c7))) | -v3_orders_2(c6) | D != B | C != A | -r1_orders_2(k1_latsum_1(c6,c7),C,D) | r1_orders_2(c6,A,B). [resolve(73,a,76,i)]. 0.75/1.06 Derived: -l1_orders_2(c6) | v3_struct_0(c6) | -l1_orders_2(c7) | v3_struct_0(c7) | -m1_subset_1(A,u1_struct_0(c6)) | -m1_subset_1(B,u1_struct_0(c6)) | -m1_subset_1(C,u1_struct_0(k1_latsum_1(c6,c7))) | -m1_subset_1(D,u1_struct_0(k1_latsum_1(c6,c7))) | -v3_orders_2(c6) | D != B | C != A | r1_orders_2(k1_latsum_1(c6,c7),C,D) | -r1_orders_2(c6,A,B). [resolve(73,a,77,i)]. 1.45/1.78 78 v3_struct_0(A) | -v4_orders_2(A) | -l1_orders_2(A) | -v1_lattice3(A) | -v3_orders_2(A) | -v2_orders_2(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -v12_waybel_0(B,A) | -v1_waybel_0(B,A) | -m1_subset_1(C,u1_struct_0(A)) | -m1_subset_1(D,u1_struct_0(A)) | -r2_hidden(D,B) | -r2_hidden(C,B) | r2_hidden(k13_lattice3(A,C,D),B) # label(t16_latsum_1) # label(axiom). [clausify(55)]. 1.45/1.78 79 -v3_orders_2(A) | -l1_orders_2(A) | -v2_orders_2(A) | v3_struct_0(A) | v1_waybel_0(f3(A),A) # label(rc9_waybel_0) # label(axiom). [clausify(16)]. 1.45/1.78 Derived: v3_struct_0(A) | -v4_orders_2(A) | -l1_orders_2(A) | -v1_lattice3(A) | -v3_orders_2(A) | -v2_orders_2(A) | -m1_subset_1(f3(A),k1_zfmisc_1(u1_struct_0(A))) | -v12_waybel_0(f3(A),A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -r2_hidden(C,f3(A)) | -r2_hidden(B,f3(A)) | r2_hidden(k13_lattice3(A,B,C),f3(A)) | -v3_orders_2(A) | -l1_orders_2(A) | -v2_orders_2(A) | v3_struct_0(A). [resolve(78,i,79,e)]. 1.45/1.78 80 v1_waybel_0(k3_xboole_0(u1_struct_0(c6),u1_struct_0(c7)),c7) # label(t19_latsum_1) # label(negated_conjecture). [clausify(61)]. 1.45/1.78 Derived: v3_struct_0(c7) | -v4_orders_2(c7) | -l1_orders_2(c7) | -v1_lattice3(c7) | -v3_orders_2(c7) | -v2_orders_2(c7) | -m1_subset_1(k3_xboole_0(u1_struct_0(c6),u1_struct_0(c7)),k1_zfmisc_1(u1_struct_0(c7))) | -v12_waybel_0(k3_xboole_0(u1_struct_0(c6),u1_struct_0(c7)),c7) | -m1_subset_1(A,u1_struct_0(c7)) | -m1_subset_1(B,u1_struct_0(c7)) | -r2_hidden(B,k3_xboole_0(u1_struct_0(c6),u1_struct_0(c7))) | -r2_hidden(A,k3_xboole_0(u1_struct_0(c6),u1_struct_0(c7))) | r2_hidden(k13_lattice3(c7,A,B),k3_xboole_0(u1_struct_0(c6),u1_struct_0(c7))). [resolve(80,a,78,i)]. 1.45/1.78 81 m2_relset_1(f7(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(29)]. 1.45/1.78 82 -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(28)]. 1.45/1.78 Derived: m1_subset_1(f7(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(81,a,82,a)]. 1.45/1.78 83 -l1_orders_2(A) | m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) # label(dt_u1_orders_2) # label(axiom). [clausify(45)]. 1.45/1.78 Derived: -l1_orders_2(A) | m1_subset_1(u1_orders_2(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))). [resolve(83,b,82,a)]. 1.45/1.78 84 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(50)]. 1.45/1.78 Derived: m1_relset_1(f7(A,B),A,B). [resolve(84,a,81,a)]. 1.45/1.78 Derived: m1_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) | -l1_orders_2(A). [resolve(84,a,83,b)]. 1.45/1.78 85 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(50)]. 1.45/1.78 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(85,a,82,a)]. 1.45/1.78 86 -r1_tarski(A,B) | m1_subset_1(A,k1_zfmisc_1(B)) # label(t3_subset) # label(axiom). [clausify(47)]. 1.45/1.78 87 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(42)]. 1.45/1.78 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(86,a,87,a)]. 1.45/1.78 88 r1_tarski(A,B) | -m1_subset_1(A,k1_zfmisc_1(B)) # label(t3_subset) # label(axiom). [clausify(47)]. 1.45/1.78 1.45/1.78 ============================== end predicate elimination ============= 1.45/1.78 1.45/1.78 Auto_denials: (non-Horn, no changes). 1.45/1.78 1.45/1.78 Term ordering decisions: 1.45/1.78 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. k1_latsum_1=1. k3_xboole_0=1. g1_orders_2=1. k2_zfmisc_1=1. f5=1. f7=1. u1_struct_0=1. k1_zfmisc_1=1. u1_orders_2=1. f2=1. f3=1. f4=1. f8=1. f9=1. k13_lattice3=1. k10_lattice3=1. f6=1. f1=1. 1.45/1.78 1.45/1.78 ============================== end of process initial clauses ======== 1.45/1.78 1.45/1.78 ============================== CLAUSES FOR SEARCH ==================== 1.45/1.78 1.45/1.78 ============================== end of clauses for search ============= 1.45/1.78 1.45/1.78 ============================== SEARCH ================================ 1.45/1.78 1.45/1.78 % Starting search at 0.04 seconds. 1.45/1.78 1.45/1.78 Low Water (keep): wt=26.000, iters=3497 1.45/1.78 1.45/1.78 Low Water (keep): wt=24.000, iters=3456 1.45/1.78 1.45/1.78 Low Water (keep): wt=23.000, iters=3388 1.45/1.78 1.45/1.78 NOTE: Back_subsAlarm clock 119.69/120.09 Prover9 interrupted 119.69/120.09 EOF