TSTP Solution File: ALG222+1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ALG222+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:54:07 EDT 2022
% Result : Theorem 56.05s 56.34s
% Output : Refutation 56.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG222+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 22:30:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.75/1.06 ============================== Prover9 ===============================
% 0.75/1.06 Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.06 Process 1135 was started by sandbox on n026.cluster.edu,
% 0.75/1.06 Tue Jun 7 22:30:17 2022
% 0.75/1.06 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_951_n026.cluster.edu".
% 0.75/1.06 ============================== end of head ===========================
% 0.75/1.06
% 0.75/1.06 ============================== INPUT =================================
% 0.75/1.06
% 0.75/1.06 % Reading from file /tmp/Prover9_951_n026.cluster.edu
% 0.75/1.06
% 0.75/1.06 set(prolog_style_variables).
% 0.75/1.06 set(auto2).
% 0.75/1.06 % set(auto2) -> set(auto).
% 0.75/1.06 % set(auto) -> set(auto_inference).
% 0.75/1.06 % set(auto) -> set(auto_setup).
% 0.75/1.06 % set(auto_setup) -> set(predicate_elim).
% 0.75/1.06 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.06 % set(auto) -> set(auto_limits).
% 0.75/1.06 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.06 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.06 % set(auto) -> set(auto_denials).
% 0.75/1.06 % set(auto) -> set(auto_process).
% 0.75/1.06 % set(auto2) -> assign(new_constants, 1).
% 0.75/1.06 % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.07 % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.07 % set(auto2) -> assign(max_hours, 1).
% 0.75/1.07 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.07 % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.07 % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.07 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.07 % set(auto2) -> set(sort_initial_sos).
% 0.75/1.07 % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.07 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.07 % set(auto2) -> assign(max_megs, 400).
% 0.75/1.07 % set(auto2) -> assign(stats, some).
% 0.75/1.07 % set(auto2) -> clear(echo_input).
% 0.75/1.07 % set(auto2) -> set(quiet).
% 0.75/1.07 % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.07 % set(auto2) -> clear(print_given).
% 0.75/1.07 assign(lrs_ticks,-1).
% 0.75/1.07 assign(sos_limit,10000).
% 0.75/1.07 assign(order,kbo).
% 0.75/1.07 set(lex_order_vars).
% 0.75/1.07 clear(print_given).
% 0.75/1.07
% 0.75/1.07 % formulas(sos). % not echoed (79 formulas)
% 0.75/1.07
% 0.75/1.07 ============================== end of input ==========================
% 0.75/1.07
% 0.75/1.07 % From the command line: assign(max_seconds, 300).
% 0.75/1.07
% 0.75/1.07 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.07
% 0.75/1.07 % Formulas that are not ordinary clauses:
% 0.75/1.07 1 (all A all B (l1_struct_0(A) & l1_vectsp_2(B,A) -> (v3_vectsp_2(B,A) -> B = g1_vectsp_2(A,u1_struct_0(B),u1_rlvect_1(B),u2_struct_0(B),u1_vectsp_2(A,B))))) # label(abstractness_v3_vectsp_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 3 (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].
% 0.75/1.07 4 (all A (l1_vectsp_1(A) -> (-v3_struct_0(A) & v7_group_1(A) & v8_vectsp_1(A) -> -v3_struct_0(A) & v2_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A)))) # label(cc2_vectsp_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 5 (all A (l1_vectsp_1(A) -> (-v3_struct_0(A) & v7_group_1(A) & v6_vectsp_1(A) -> -v3_struct_0(A) & v2_group_1(A) & v6_vectsp_1(A) & v8_vectsp_1(A)))) # label(cc3_vectsp_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 6 (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].
% 0.75/1.07 7 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k5_subset_1(A,B,C) = k5_subset_1(A,C,B))) # label(commutativity_k5_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 8 (all A all B all C all D all E (l1_struct_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B) -> v3_vectsp_2(g1_vectsp_2(A,B,C,D,E),A) & l1_vectsp_2(g1_vectsp_2(A,B,C,D,E),A))) # label(dt_g1_vectsp_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 9 (all A all B all C (-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_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -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(k1_rmod_5(A,B,C),A) & m1_rmod_2(k1_rmod_5(A,B,C),A,B))) # label(dt_k1_rmod_5) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 10 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 11 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 12 (all A all B all C all D (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) & m1_rmod_2(C,A,B) & m1_rmod_2(D,A,B) -> v3_vectsp_2(k2_rmod_3(A,B,C,D),A) & m1_rmod_2(k2_rmod_3(A,B,C,D),A,B))) # label(dt_k2_rmod_3) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 13 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 14 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 15 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k5_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 16 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 17 (all A (l1_rlvect_1(A) -> l2_struct_0(A))) # label(dt_l1_rlvect_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 18 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 19 (all A (l1_vectsp_1(A) -> l1_group_1(A))) # label(dt_l1_vectsp_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 20 (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].
% 0.75/1.07 21 (all A (l2_struct_0(A) -> l1_struct_0(A))) # label(dt_l2_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 22 (all A (l2_vectsp_1(A) -> l1_vectsp_1(A) & l2_struct_0(A))) # label(dt_l2_vectsp_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 23 (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].
% 0.75/1.07 24 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 25 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (all C (m1_rmod_2(C,A,B) -> -v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v5_vectsp_2(C,A) & l1_vectsp_2(C,A))))) # label(dt_m1_rmod_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 26 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 27 (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].
% 0.75/1.07 28 (all A (l1_rlvect_1(A) -> v1_funct_1(u1_rlvect_1(A)) & v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(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) # label(non_clause). [assumption].
% 0.75/1.07 29 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 30 (all A all B (l1_struct_0(A) & l1_vectsp_2(B,A) -> v1_funct_1(u1_vectsp_2(A,B)) & v1_funct_2(u1_vectsp_2(A,B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A)),u1_struct_0(B)) & 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) # label(non_clause). [assumption].
% 0.75/1.07 31 (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].
% 0.75/1.07 32 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 33 (exists A l1_rlvect_1(A)) # label(existence_l1_rlvect_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 34 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 35 (exists A l1_vectsp_1(A)) # label(existence_l1_vectsp_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 36 (all A (l1_struct_0(A) -> (exists B l1_vectsp_2(B,A)))) # label(existence_l1_vectsp_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 37 (exists A l2_struct_0(A)) # label(existence_l2_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 38 (exists A l2_vectsp_1(A)) # label(existence_l2_vectsp_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 39 (exists A l3_vectsp_1(A)) # label(existence_l3_vectsp_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 40 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 41 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (exists C m1_rmod_2(C,A,B)))) # label(existence_m1_rmod_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 42 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 43 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 44 (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].
% 0.75/1.07 45 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 46 (all A all B all C all D all E (l1_struct_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & m1_subset_1(D,B) & v1_funct_1(E) & 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) -> -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].
% 0.75/1.07 47 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -v1_xboole_0(k2_zfmisc_1(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 48 (all A all B all C all D all E (l1_struct_0(A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(B,B),B) & m1_relset_1(C,k2_zfmisc_1(B,B),B) & m1_subset_1(D,B) & v1_funct_1(E) & v1_funct_2(E,k2_zfmisc_1(B,u1_struct_0(A)),B) & m1_relset_1(E,k2_zfmisc_1(B,u1_struct_0(A)),B) -> (all F all G all H all I all J (g1_vectsp_2(A,B,C,D,E) = g1_vectsp_2(F,G,H,I,J) -> A = F & B = G & C = H & D = I & E = J)))) # label(free_g1_vectsp_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 49 (all A all B k3_xboole_0(A,A) = A) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 50 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k5_subset_1(A,B,B) = B)) # label(idempotence_k5_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 51 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) -> (exists B (l1_vectsp_2(B,A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v3_vectsp_2(B,A))))) # label(rc13_vectsp_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 52 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) -> (exists B (l1_vectsp_2(B,A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v3_vectsp_2(B,A) & v5_vectsp_2(B,A))))) # label(rc16_vectsp_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 53 (all A all B (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) & -v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (exists C (m1_rmod_2(C,A,B) & -v3_struct_0(C) & v3_rlvect_1(C) & v4_rlvect_1(C) & v5_rlvect_1(C) & v6_rlvect_1(C) & v3_vectsp_2(C,A) & v5_vectsp_2(C,A))))) # label(rc1_rmod_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 54 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 55 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 56 (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].
% 0.75/1.07 57 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 58 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 59 (exists A (l2_struct_0(A) & -v3_struct_0(A))) # label(rc4_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 60 (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].
% 0.75/1.07 61 (all A (l1_struct_0(A) -> (exists B (l1_vectsp_2(B,A) & v3_vectsp_2(B,A))))) # label(rc8_vectsp_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 62 (all A (l1_struct_0(A) -> (exists B (l1_vectsp_2(B,A) & -v3_struct_0(B))))) # label(rc9_vectsp_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 63 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k5_subset_1(A,B,C) = k3_xboole_0(B,C))) # label(redefinition_k5_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 64 (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].
% 0.75/1.07 65 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 66 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) -> (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 (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,D) -> m1_rmod_2(k1_rmod_5(A,B,C),A,k1_rmod_5(A,B,D))))))))))) # label(t15_rmod_5) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 67 (all A all B r1_tarski(k3_xboole_0(A,B),A)) # label(t17_xboole_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 68 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 69 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) & m1_rmod_2(C,A,E) -> m1_rmod_2(C,A,k2_rmod_3(A,B,D,E))))))))))))) # label(t24_rmod_3) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 70 (all A k3_xboole_0(A,k1_xboole_0) = k1_xboole_0) # label(t2_boole) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 71 (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].
% 0.75/1.07 72 (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].
% 0.75/1.07 73 (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].
% 0.75/1.07 74 (all A all B all C -(r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) & v1_xboole_0(C))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 75 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 76 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 77 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.07 78 -(all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) -> (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 (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> m1_rmod_2(k1_rmod_5(A,B,k5_subset_1(u1_struct_0(B),C,D)),A,k2_rmod_3(A,B,k1_rmod_5(A,B,C),k1_rmod_5(A,B,D))))))))))) # label(t18_rmod_5) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.75/1.07
% 0.75/1.07 ============================== end of process non-clausal formulas ===
% 0.75/1.07
% 0.75/1.07 ============================== PROCESS INITIAL CLAUSES ===============
% 0.75/1.07
% 0.75/1.07 ============================== PREDICATE ELIMINATION =================
% 0.75/1.07 79 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(16)].
% 0.75/1.07 80 -l1_struct_0(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 # label(abstractness_v3_vectsp_2) # label(axiom). [clausify(1)].
% 0.75/1.07 81 -l1_struct_0(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | v3_vectsp_2(g1_vectsp_2(A,C,B,D,E),A) # label(dt_g1_vectsp_2) # label(axiom). [clausify(8)].
% 0.75/1.07 82 -l1_struct_0(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | l1_vectsp_2(g1_vectsp_2(A,C,B,D,E),A) # label(dt_g1_vectsp_2) # label(axiom). [clausify(8)].
% 0.75/1.07 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(79,b,80,a)].
% 0.75/1.07 Derived: -l1_group_1(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | v3_vectsp_2(g1_vectsp_2(A,C,B,D,E),A). [resolve(79,b,81,a)].
% 0.75/1.07 Derived: -l1_group_1(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | l1_vectsp_2(g1_vectsp_2(A,C,B,D,E),A). [resolve(79,b,82,a)].
% 0.75/1.07 83 -l1_struct_0(A) | -l1_vectsp_2(B,A) | l1_rlvect_1(B) # label(dt_l1_vectsp_2) # label(axiom). [clausify(20)].
% 0.75/1.07 Derived: -l1_vectsp_2(A,B) | l1_rlvect_1(A) | -l1_group_1(B). [resolve(83,a,79,b)].
% 0.75/1.07 84 -l2_struct_0(A) | l1_struct_0(A) # label(dt_l2_struct_0) # label(axiom). [clausify(21)].
% 0.75/1.07 Derived: -l2_struct_0(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(84,b,80,a)].
% 0.75/1.07 Derived: -l2_struct_0(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | v3_vectsp_2(g1_vectsp_2(A,C,B,D,E),A). [resolve(84,b,81,a)].
% 0.75/1.07 Derived: -l2_struct_0(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | l1_vectsp_2(g1_vectsp_2(A,C,B,D,E),A). [resolve(84,b,82,a)].
% 0.75/1.07 Derived: -l2_struct_0(A) | -l1_vectsp_2(B,A) | l1_rlvect_1(B). [resolve(84,b,83,a)].
% 0.75/1.07 85 -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(30)].
% 0.75/1.07 Derived: -l1_vectsp_2(A,B) | v1_funct_1(u1_vectsp_2(B,A)) | -l1_group_1(B). [resolve(85,a,79,b)].
% 0.75/1.07 Derived: -l1_vectsp_2(A,B) | v1_funct_1(u1_vectsp_2(B,A)) | -l2_struct_0(B). [resolve(85,a,84,b)].
% 0.75/1.07 86 -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(30)].
% 0.75/1.07 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)) | -l1_group_1(B). [resolve(86,a,79,b)].
% 0.75/1.07 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)) | -l2_struct_0(B). [resolve(86,a,84,b)].
% 0.75/1.07 87 -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(30)].
% 0.75/1.07 Derived: -l1_vectsp_2(A,B) | m2_relset_1(u1_vectsp_2(B,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A)) | -l1_group_1(B). [resolve(87,a,79,b)].
% 0.75/1.07 Derived: -l1_vectsp_2(A,B) | m2_relset_1(u1_vectsp_2(B,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A)) | -l2_struct_0(B). [resolve(87,a,84,b)].
% 0.75/1.07 88 l1_struct_0(c3) # label(existence_l1_struct_0) # label(axiom). [clausify(34)].
% 0.75/1.07 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(88,a,80,a)].
% 0.75/1.07 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | v3_vectsp_2(g1_vectsp_2(c3,B,A,C,D),c3). [resolve(88,a,81,a)].
% 0.75/1.07 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | l1_vectsp_2(g1_vectsp_2(c3,B,A,C,D),c3). [resolve(88,a,82,a)].
% 0.75/1.07 Derived: -l1_vectsp_2(A,c3) | l1_rlvect_1(A). [resolve(88,a,83,a)].
% 0.75/1.07 Derived: -l1_vectsp_2(A,c3) | v1_funct_1(u1_vectsp_2(c3,A)). [resolve(88,a,85,a)].
% 0.75/1.07 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(88,a,86,a)].
% 0.75/1.07 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(88,a,87,a)].
% 0.75/1.07 89 -l1_struct_0(A) | l1_vectsp_2(f1(A),A) # label(existence_l1_vectsp_2) # label(axiom). [clausify(36)].
% 0.75/1.07 Derived: l1_vectsp_2(f1(A),A) | -l1_group_1(A). [resolve(89,a,79,b)].
% 0.75/1.07 Derived: l1_vectsp_2(f1(A),A) | -l2_struct_0(A). [resolve(89,a,84,b)].
% 0.75/1.07 Derived: l1_vectsp_2(f1(c3),c3). [resolve(89,a,88,a)].
% 0.75/1.07 90 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(44)].
% 0.75/1.07 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_group_1(A). [resolve(90,b,79,b)].
% 0.75/1.07 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_struct_0(A). [resolve(90,b,84,b)].
% 0.75/1.07 Derived: v3_struct_0(c3) | -v1_xboole_0(u1_struct_0(c3)). [resolve(90,b,88,a)].
% 0.75/1.07 91 -l1_struct_0(A) | v1_xboole_0(B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | -m1_subset_1(D,B) | -v1_funct_1(E) | -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) | -v3_struct_0(g1_vectsp_2(A,B,C,D,E)) # label(fc1_vectsp_2) # label(axiom). [clausify(46)].
% 0.75/1.08 Derived: v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -m1_subset_1(C,A) | -v1_funct_1(D) | -v1_funct_2(D,k2_zfmisc_1(A,u1_struct_0(E)),A) | -m1_relset_1(D,k2_zfmisc_1(A,u1_struct_0(E)),A) | -v3_struct_0(g1_vectsp_2(E,A,B,C,D)) | -l1_group_1(E). [resolve(91,a,79,b)].
% 0.75/1.08 Derived: v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -m1_subset_1(C,A) | -v1_funct_1(D) | -v1_funct_2(D,k2_zfmisc_1(A,u1_struct_0(E)),A) | -m1_relset_1(D,k2_zfmisc_1(A,u1_struct_0(E)),A) | -v3_struct_0(g1_vectsp_2(E,A,B,C,D)) | -l2_struct_0(E). [resolve(91,a,84,b)].
% 0.75/1.08 Derived: v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -m1_subset_1(C,A) | -v1_funct_1(D) | -v1_funct_2(D,k2_zfmisc_1(A,u1_struct_0(c3)),A) | -m1_relset_1(D,k2_zfmisc_1(A,u1_struct_0(c3)),A) | -v3_struct_0(g1_vectsp_2(c3,A,B,C,D)). [resolve(91,a,88,a)].
% 0.75/1.08 92 -l1_struct_0(A) | v1_xboole_0(B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | -m1_subset_1(D,B) | -v1_funct_1(E) | -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) | v3_vectsp_2(g1_vectsp_2(A,B,C,D,E),A) # label(fc1_vectsp_2) # label(axiom). [clausify(46)].
% 0.75/1.08 93 -l1_struct_0(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | 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(48)].
% 0.75/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | F = E | -l1_group_1(E). [resolve(93,a,79,b)].
% 0.75/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | F = E | -l2_struct_0(E). [resolve(93,a,84,b)].
% 0.75/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c3,B,A,C,D) | E = c3. [resolve(93,a,88,a)].
% 0.75/1.08 94 -l1_struct_0(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | 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(48)].
% 0.75/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V6 = B | -l1_group_1(E). [resolve(94,a,79,b)].
% 0.75/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V6 = B | -l2_struct_0(E). [resolve(94,a,84,b)].
% 0.75/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c3,B,A,C,D) | F = B. [resolve(94,a,88,a)].
% 0.75/1.08 95 -l1_struct_0(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | 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(48)].
% 0.75/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V7 = A | -l1_group_1(E). [resolve(95,a,79,b)].
% 0.75/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V7 = A | -l2_struct_0(E). [resolve(95,a,84,b)].
% 0.75/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c3,B,A,C,D) | V6 = A. [resolve(95,a,88,a)].
% 0.75/1.08 96 -l1_struct_0(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | 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(48)].
% 0.75/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V8 = C | -l1_group_1(E). [resolve(96,a,79,b)].
% 0.75/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V8 = C | -l2_struct_0(E). [resolve(96,a,84,b)].
% 0.75/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c3,B,A,C,D) | V7 = C. [resolve(96,a,88,a)].
% 0.75/1.08 97 -l1_struct_0(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | 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(48)].
% 0.75/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V9 = D | -l1_group_1(E). [resolve(97,a,79,b)].
% 0.75/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V9 = D | -l2_struct_0(E). [resolve(97,a,84,b)].
% 0.75/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c3)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c3,B,A,C,D) | V8 = D. [resolve(97,a,88,a)].
% 0.80/1.08 98 l1_struct_0(c10) # label(rc3_struct_0) # label(axiom). [clausify(58)].
% 0.80/1.08 Derived: -l1_vectsp_2(A,c10) | -v3_vectsp_2(A,c10) | g1_vectsp_2(c10,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_vectsp_2(c10,A)) = A. [resolve(98,a,80,a)].
% 0.80/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c10)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c10)),B) | v3_vectsp_2(g1_vectsp_2(c10,B,A,C,D),c10). [resolve(98,a,81,a)].
% 0.80/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c10)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c10)),B) | l1_vectsp_2(g1_vectsp_2(c10,B,A,C,D),c10). [resolve(98,a,82,a)].
% 0.80/1.08 Derived: -l1_vectsp_2(A,c10) | l1_rlvect_1(A). [resolve(98,a,83,a)].
% 0.80/1.08 Derived: -l1_vectsp_2(A,c10) | v1_funct_1(u1_vectsp_2(c10,A)). [resolve(98,a,85,a)].
% 0.80/1.08 Derived: -l1_vectsp_2(A,c10) | v1_funct_2(u1_vectsp_2(c10,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c10)),u1_struct_0(A)). [resolve(98,a,86,a)].
% 0.80/1.08 Derived: -l1_vectsp_2(A,c10) | m2_relset_1(u1_vectsp_2(c10,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c10)),u1_struct_0(A)). [resolve(98,a,87,a)].
% 0.80/1.08 Derived: l1_vectsp_2(f1(c10),c10). [resolve(98,a,89,a)].
% 0.80/1.08 Derived: v3_struct_0(c10) | -v1_xboole_0(u1_struct_0(c10)). [resolve(98,a,90,b)].
% 0.80/1.08 Derived: v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -m1_subset_1(C,A) | -v1_funct_1(D) | -v1_funct_2(D,k2_zfmisc_1(A,u1_struct_0(c10)),A) | -m1_relset_1(D,k2_zfmisc_1(A,u1_struct_0(c10)),A) | -v3_struct_0(g1_vectsp_2(c10,A,B,C,D)). [resolve(98,a,91,a)].
% 0.80/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c10)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c10)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c10,B,A,C,D) | E = c10. [resolve(98,a,93,a)].
% 0.80/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c10)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c10)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c10,B,A,C,D) | F = B. [resolve(98,a,94,a)].
% 0.80/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c10)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c10)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c10,B,A,C,D) | V6 = A. [resolve(98,a,95,a)].
% 0.80/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c10)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c10)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c10,B,A,C,D) | V7 = C. [resolve(98,a,96,a)].
% 0.80/1.08 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c10)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c10)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c10,B,A,C,D) | V8 = D. [resolve(98,a,97,a)].
% 0.80/1.08 99 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(60)].
% 0.80/1.08 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_group_1(A). [resolve(99,b,79,b)].
% 0.80/1.08 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_struct_0(A). [resolve(99,b,84,b)].
% 0.80/1.08 Derived: v3_struct_0(c3) | m1_subset_1(f11(c3),k1_zfmisc_1(u1_struct_0(c3))). [resolve(99,b,88,a)].
% 0.80/1.08 Derived: v3_struct_0(c10) | m1_subset_1(f11(c10),k1_zfmisc_1(u1_struct_0(c10))). [resolve(99,b,98,a)].
% 0.80/1.08 100 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f11(A)) # label(rc5_struct_0) # label(axiom). [clausify(60)].
% 0.80/1.10 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l1_group_1(A). [resolve(100,b,79,b)].
% 0.80/1.10 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l2_struct_0(A). [resolve(100,b,84,b)].
% 0.80/1.10 Derived: v3_struct_0(c3) | -v1_xboole_0(f11(c3)). [resolve(100,b,88,a)].
% 0.80/1.10 Derived: v3_struct_0(c10) | -v1_xboole_0(f11(c10)). [resolve(100,b,98,a)].
% 0.80/1.10 101 -l1_struct_0(A) | l1_vectsp_2(f12(A),A) # label(rc8_vectsp_2) # label(axiom). [clausify(61)].
% 0.80/1.10 Derived: l1_vectsp_2(f12(A),A) | -l1_group_1(A). [resolve(101,a,79,b)].
% 0.80/1.10 Derived: l1_vectsp_2(f12(A),A) | -l2_struct_0(A). [resolve(101,a,84,b)].
% 0.80/1.10 Derived: l1_vectsp_2(f12(c3),c3). [resolve(101,a,88,a)].
% 0.80/1.10 Derived: l1_vectsp_2(f12(c10),c10). [resolve(101,a,98,a)].
% 0.80/1.10 102 -l1_struct_0(A) | v3_vectsp_2(f12(A),A) # label(rc8_vectsp_2) # label(axiom). [clausify(61)].
% 0.80/1.10 Derived: v3_vectsp_2(f12(A),A) | -l1_group_1(A). [resolve(102,a,79,b)].
% 0.80/1.10 Derived: v3_vectsp_2(f12(A),A) | -l2_struct_0(A). [resolve(102,a,84,b)].
% 0.80/1.10 Derived: v3_vectsp_2(f12(c3),c3). [resolve(102,a,88,a)].
% 0.80/1.10 Derived: v3_vectsp_2(f12(c10),c10). [resolve(102,a,98,a)].
% 0.80/1.10 103 -l1_struct_0(A) | l1_vectsp_2(f13(A),A) # label(rc9_vectsp_2) # label(axiom). [clausify(62)].
% 0.80/1.10 Derived: l1_vectsp_2(f13(A),A) | -l1_group_1(A). [resolve(103,a,79,b)].
% 0.80/1.10 Derived: l1_vectsp_2(f13(A),A) | -l2_struct_0(A). [resolve(103,a,84,b)].
% 0.80/1.10 Derived: l1_vectsp_2(f13(c3),c3). [resolve(103,a,88,a)].
% 0.80/1.10 Derived: l1_vectsp_2(f13(c10),c10). [resolve(103,a,98,a)].
% 0.80/1.10 104 -l1_struct_0(A) | -v3_struct_0(f13(A)) # label(rc9_vectsp_2) # label(axiom). [clausify(62)].
% 0.80/1.10 Derived: -v3_struct_0(f13(A)) | -l1_group_1(A). [resolve(104,a,79,b)].
% 0.80/1.10 Derived: -v3_struct_0(f13(A)) | -l2_struct_0(A). [resolve(104,a,84,b)].
% 0.80/1.10 Derived: -v3_struct_0(f13(c3)). [resolve(104,a,88,a)].
% 0.80/1.10 Derived: -v3_struct_0(f13(c10)). [resolve(104,a,98,a)].
% 0.80/1.10 105 -l2_vectsp_1(A) | l1_vectsp_1(A) # label(dt_l2_vectsp_1) # label(axiom). [clausify(22)].
% 0.80/1.10 106 -l1_vectsp_1(A) | v3_struct_0(A) | -v7_group_1(A) | -v8_vectsp_1(A) | v2_group_1(A) # label(cc2_vectsp_2) # label(axiom). [clausify(4)].
% 0.80/1.10 107 -l1_vectsp_1(A) | v3_struct_0(A) | -v7_group_1(A) | -v8_vectsp_1(A) | v6_vectsp_1(A) # label(cc2_vectsp_2) # label(axiom). [clausify(4)].
% 0.80/1.10 108 -l1_vectsp_1(A) | v3_struct_0(A) | -v7_group_1(A) | -v6_vectsp_1(A) | v2_group_1(A) # label(cc3_vectsp_2) # label(axiom). [clausify(5)].
% 0.80/1.10 109 -l1_vectsp_1(A) | v3_struct_0(A) | -v7_group_1(A) | -v6_vectsp_1(A) | v8_vectsp_1(A) # label(cc3_vectsp_2) # label(axiom). [clausify(5)].
% 0.80/1.10 110 -l1_vectsp_1(A) | l1_group_1(A) # label(dt_l1_vectsp_1) # label(axiom). [clausify(19)].
% 0.80/1.10 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -v7_group_1(A) | -v8_vectsp_1(A) | v2_group_1(A). [resolve(105,b,106,a)].
% 0.80/1.10 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -v7_group_1(A) | -v8_vectsp_1(A) | v6_vectsp_1(A). [resolve(105,b,107,a)].
% 0.80/1.10 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -v7_group_1(A) | -v6_vectsp_1(A) | v2_group_1(A). [resolve(105,b,108,a)].
% 0.80/1.10 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -v7_group_1(A) | -v6_vectsp_1(A) | v8_vectsp_1(A). [resolve(105,b,109,a)].
% 0.80/1.10 Derived: -l2_vectsp_1(A) | l1_group_1(A). [resolve(105,b,110,a)].
% 0.80/1.10 111 l1_vectsp_1(c4) # label(existence_l1_vectsp_1) # label(axiom). [clausify(35)].
% 0.80/1.10 Derived: v3_struct_0(c4) | -v7_group_1(c4) | -v8_vectsp_1(c4) | v2_group_1(c4). [resolve(111,a,106,a)].
% 0.80/1.10 Derived: v3_struct_0(c4) | -v7_group_1(c4) | -v8_vectsp_1(c4) | v6_vectsp_1(c4). [resolve(111,a,107,a)].
% 0.80/1.10 Derived: v3_struct_0(c4) | -v7_group_1(c4) | -v6_vectsp_1(c4) | v2_group_1(c4). [resolve(111,a,108,a)].
% 0.80/1.10 Derived: v3_struct_0(c4) | -v7_group_1(c4) | -v6_vectsp_1(c4) | v8_vectsp_1(c4). [resolve(111,a,109,a)].
% 0.80/1.10 Derived: l1_group_1(c4). [resolve(111,a,110,a)].
% 0.80/1.10 112 v4_group_1(c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 0.80/1.10 113 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_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | v10_vectsp_1(A) | -v2_vectsp_2(A) | -l3_vectsp_1(A) | 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(k1_rmod_5(A,B,C),A) # label(dt_k1_rmod_5) # label(axiom). [clausify(9)].
% 0.80/1.10 114 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_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | v10_vectsp_1(A) | -v2_vectsp_2(A) | -l3_vectsp_1(A) | 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))) | m1_rmod_2(k1_rmod_5(A,B,C),A,B) # label(dt_k1_rmod_5) # label(axiom). [clausify(9)].
% 0.80/1.10 115 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -m1_rmod_2(C,A,B) | -m1_rmod_2(D,A,B) | v3_vectsp_2(k2_rmod_3(A,B,C,D),A) # label(dt_k2_rmod_3) # label(axiom). [clausify(12)].
% 0.80/1.10 116 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -m1_rmod_2(C,A,B) | -m1_rmod_2(D,A,B) | m1_rmod_2(k2_rmod_3(A,B,C,D),A,B) # label(dt_k2_rmod_3) # label(axiom). [clausify(12)].
% 0.80/1.10 117 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -m1_rmod_2(C,A,B) | -v3_struct_0(C) # label(dt_m1_rmod_2) # label(axiom). [clausify(25)].
% 0.80/1.10 118 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -m1_rmod_2(C,A,B) | v3_rlvect_1(C) # label(dt_m1_rmod_2) # label(axiom). [clausify(25)].
% 0.80/1.10 119 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -m1_rmod_2(C,A,B) | v4_rlvect_1(C) # label(dt_m1_rmod_2) # label(axiom). [clausify(25)].
% 0.80/1.10 120 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -m1_rmod_2(C,A,B) | v5_rlvect_1(C) # label(dt_m1_rmod_2) # label(axiom). [clausify(25)].
% 0.80/1.10 121 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -m1_rmod_2(C,A,B) | v6_rlvect_1(C) # label(dt_m1_rmod_2) # label(axiom). [clausify(25)].
% 0.80/1.10 122 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -m1_rmod_2(C,A,B) | v5_vectsp_2(C,A) # label(dt_m1_rmod_2) # label(axiom). [clausify(25)].
% 0.80/1.10 123 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -m1_rmod_2(C,A,B) | l1_vectsp_2(C,A) # label(dt_m1_rmod_2) # label(axiom). [clausify(25)].
% 0.80/1.10 124 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | m1_rmod_2(f3(A,B),A,B) # label(existence_m1_rmod_2) # label(axiom). [clausify(41)].
% 0.80/1.10 125 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | l1_vectsp_2(f6(A),A) # label(rc13_vectsp_2) # label(axiom). [clausify(51)].
% 0.80/1.10 126 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | -v3_struct_0(f6(A)) # label(rc13_vectsp_2) # label(axiom). [clausify(51)].
% 0.80/1.10 127 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_rlvect_1(f6(A)) # label(rc13_vectsp_2) # label(axiom). [clausify(51)].
% 0.80/1.10 128 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v4_rlvect_1(f6(A)) # label(rc13_vectsp_2) # label(axiom). [clausify(51)].
% 0.80/1.10 129 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v5_rlvect_1(f6(A)) # label(rc13_vectsp_2) # label(axiom). [clausify(51)].
% 0.80/1.10 130 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v6_rlvect_1(f6(A)) # label(rc13_vectsp_2) # label(axiom). [clausify(51)].
% 0.80/1.10 131 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_vectsp_2(f6(A),A) # label(rc13_vectsp_2) # label(axiom). [clausify(51)].
% 0.80/1.10 132 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | l1_vectsp_2(f7(A),A) # label(rc16_vectsp_2) # label(axiom). [clausify(52)].
% 0.80/1.10 133 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | -v3_struct_0(f7(A)) # label(rc16_vectsp_2) # label(axiom). [clausify(52)].
% 0.80/1.10 134 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_rlvect_1(f7(A)) # label(rc16_vectsp_2) # label(axiom). [clausify(52)].
% 0.80/1.10 135 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v4_rlvect_1(f7(A)) # label(rc16_vectsp_2) # label(axiom). [clausify(52)].
% 0.80/1.10 136 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v5_rlvect_1(f7(A)) # label(rc16_vectsp_2) # label(axiom). [clausify(52)].
% 0.80/1.10 137 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v6_rlvect_1(f7(A)) # label(rc16_vectsp_2) # label(axiom). [clausify(52)].
% 0.80/1.10 138 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_vectsp_2(f7(A),A) # label(rc16_vectsp_2) # label(axiom). [clausify(52)].
% 0.80/1.11 139 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v5_vectsp_2(f7(A),A) # label(rc16_vectsp_2) # label(axiom). [clausify(52)].
% 0.80/1.11 140 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | m1_rmod_2(f8(A,B),A,B) # label(rc1_rmod_2) # label(axiom). [clausify(53)].
% 0.80/1.11 141 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -v3_struct_0(f8(A,B)) # label(rc1_rmod_2) # label(axiom). [clausify(53)].
% 0.80/1.11 142 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | v3_rlvect_1(f8(A,B)) # label(rc1_rmod_2) # label(axiom). [clausify(53)].
% 0.80/1.11 143 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | v4_rlvect_1(f8(A,B)) # label(rc1_rmod_2) # label(axiom). [clausify(53)].
% 0.80/1.11 144 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | v5_rlvect_1(f8(A,B)) # label(rc1_rmod_2) # label(axiom). [clausify(53)].
% 0.80/1.11 145 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | v6_rlvect_1(f8(A,B)) # label(rc1_rmod_2) # label(axiom). [clausify(53)].
% 0.80/1.11 146 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | v3_vectsp_2(f8(A,B),A) # label(rc1_rmod_2) # label(axiom). [clausify(53)].
% 0.80/1.11 147 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | v5_vectsp_2(f8(A,B),A) # label(rc1_rmod_2) # label(axiom). [clausify(53)].
% 0.80/1.11 148 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_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | v10_vectsp_1(A) | -v2_vectsp_2(A) | -l3_vectsp_1(A) | 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))) | -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) | -r1_tarski(C,D) | m1_rmod_2(k1_rmod_5(A,B,C),A,k1_rmod_5(A,B,D)) # label(t15_rmod_5) # label(axiom). [clausify(66)].
% 0.80/1.11 149 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -m1_rmod_2(C,A,B) | -m1_rmod_2(D,A,B) | -m1_rmod_2(E,A,B) | -m1_rmod_2(C,A,D) | -m1_rmod_2(C,A,E) | m1_rmod_2(C,A,k2_rmod_3(A,B,D,E)) # label(t24_rmod_3) # label(axiom). [clausify(69)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v7_group_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | v10_vectsp_1(c12) | -v2_vectsp_2(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) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v3_vectsp_2(k1_rmod_5(c12,A,B),c12). [resolve(112,a,113,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v7_group_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | v10_vectsp_1(c12) | -v2_vectsp_2(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) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_rmod_2(k1_rmod_5(c12,A,B),c12,A). [resolve(112,a,114,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | -m1_rmod_2(B,c12,A) | -m1_rmod_2(C,c12,A) | v3_vectsp_2(k2_rmod_3(c12,A,B,C),c12). [resolve(112,a,115,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | -m1_rmod_2(B,c12,A) | -m1_rmod_2(C,c12,A) | m1_rmod_2(k2_rmod_3(c12,A,B,C),c12,A). [resolve(112,a,116,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | -m1_rmod_2(B,c12,A) | -v3_struct_0(B). [resolve(112,a,117,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | -m1_rmod_2(B,c12,A) | v3_rlvect_1(B). [resolve(112,a,118,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | -m1_rmod_2(B,c12,A) | v4_rlvect_1(B). [resolve(112,a,119,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | -m1_rmod_2(B,c12,A) | v5_rlvect_1(B). [resolve(112,a,120,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | -m1_rmod_2(B,c12,A) | v6_rlvect_1(B). [resolve(112,a,121,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | -m1_rmod_2(B,c12,A) | v5_vectsp_2(B,c12). [resolve(112,a,122,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | -m1_rmod_2(B,c12,A) | l1_vectsp_2(B,c12). [resolve(112,a,123,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | m1_rmod_2(f3(c12,A),c12,A). [resolve(112,a,124,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | l1_vectsp_2(f6(c12),c12). [resolve(112,a,125,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v3_struct_0(f6(c12)). [resolve(112,a,126,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_rlvect_1(f6(c12)). [resolve(112,a,127,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v4_rlvect_1(f6(c12)). [resolve(112,a,128,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v5_rlvect_1(f6(c12)). [resolve(112,a,129,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v6_rlvect_1(f6(c12)). [resolve(112,a,130,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_vectsp_2(f6(c12),c12). [resolve(112,a,131,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | l1_vectsp_2(f7(c12),c12). [resolve(112,a,132,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | -v3_struct_0(f7(c12)). [resolve(112,a,133,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_rlvect_1(f7(c12)). [resolve(112,a,134,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v4_rlvect_1(f7(c12)). [resolve(112,a,135,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v5_rlvect_1(f7(c12)). [resolve(112,a,136,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v6_rlvect_1(f7(c12)). [resolve(112,a,137,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_vectsp_2(f7(c12),c12). [resolve(112,a,138,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v5_vectsp_2(f7(c12),c12). [resolve(112,a,139,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | m1_rmod_2(f8(c12,A),c12,A). [resolve(112,a,140,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | -v3_struct_0(f8(c12,A)). [resolve(112,a,141,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | v3_rlvect_1(f8(c12,A)). [resolve(112,a,142,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | v4_rlvect_1(f8(c12,A)). [resolve(112,a,143,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | v5_rlvect_1(f8(c12,A)). [resolve(112,a,144,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | v6_rlvect_1(f8(c12,A)). [resolve(112,a,145,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | v3_vectsp_2(f8(c12,A),c12). [resolve(112,a,146,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | v5_vectsp_2(f8(c12,A),c12). [resolve(112,a,147,f)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v7_group_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | v10_vectsp_1(c12) | -v2_vectsp_2(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) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | -r1_tarski(B,C) | m1_rmod_2(k1_rmod_5(c12,A,B),c12,k1_rmod_5(c12,A,C)). [resolve(112,a,148,f)].
% 0.80/1.12 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | -m1_rmod_2(B,c12,A) | -m1_rmod_2(C,c12,A) | -m1_rmod_2(D,c12,A) | -m1_rmod_2(B,c12,C) | -m1_rmod_2(B,c12,D) | m1_rmod_2(B,c12,k2_rmod_3(c12,A,C,D)). [resolve(112,a,149,f)].
% 0.80/1.12 150 -l3_vectsp_1(A) | l1_rlvect_1(A) # label(dt_l3_vectsp_1) # label(axiom). [clausify(23)].
% 0.80/1.12 151 -l1_rlvect_1(A) | l2_struct_0(A) # label(dt_l1_rlvect_1) # label(axiom). [clausify(17)].
% 0.80/1.12 Derived: -l3_vectsp_1(A) | l2_struct_0(A). [resolve(150,b,151,a)].
% 0.80/1.12 152 -l1_rlvect_1(A) | v1_funct_1(u1_rlvect_1(A)) # label(dt_u1_rlvect_1) # label(axiom). [clausify(28)].
% 0.80/1.12 Derived: v1_funct_1(u1_rlvect_1(A)) | -l3_vectsp_1(A). [resolve(152,a,150,b)].
% 0.80/1.12 153 -l1_rlvect_1(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). [clausify(28)].
% 0.80/1.12 Derived: v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_vectsp_1(A). [resolve(153,a,150,b)].
% 0.80/1.12 154 -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(28)].
% 0.80/1.12 Derived: m2_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_vectsp_1(A). [resolve(154,a,150,b)].
% 0.80/1.12 155 l1_rlvect_1(c2) # label(existence_l1_rlvect_1) # label(axiom). [clausify(33)].
% 0.80/1.12 Derived: l2_struct_0(c2). [resolve(155,a,151,a)].
% 0.80/1.12 Derived: v1_funct_1(u1_rlvect_1(c2)). [resolve(155,a,152,a)].
% 0.80/1.12 Derived: v1_funct_2(u1_rlvect_1(c2),k2_zfmisc_1(u1_struct_0(c2),u1_struct_0(c2)),u1_struct_0(c2)). [resolve(155,a,153,a)].
% 0.80/1.12 Derived: m2_relset_1(u1_rlvect_1(c2),k2_zfmisc_1(u1_struct_0(c2),u1_struct_0(c2)),u1_struct_0(c2)). [resolve(155,a,154,a)].
% 0.80/1.12 156 -l1_vectsp_2(A,B) | l1_rlvect_1(A) | -l1_group_1(B). [resolve(83,a,79,b)].
% 0.80/1.12 Derived: -l1_vectsp_2(A,B) | -l1_group_1(B) | l2_struct_0(A). [resolve(156,b,151,a)].
% 0.80/1.12 Derived: -l1_vectsp_2(A,B) | -l1_group_1(B) | v1_funct_1(u1_rlvect_1(A)). [resolve(156,b,152,a)].
% 0.80/1.12 Derived: -l1_vectsp_2(A,B) | -l1_group_1(B) | v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(156,b,153,a)].
% 0.80/1.12 Derived: -l1_vectsp_2(A,B) | -l1_group_1(B) | m2_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(156,b,154,a)].
% 0.80/1.12 157 -l2_struct_0(A) | -l1_vectsp_2(B,A) | l1_rlvect_1(B). [resolve(84,b,83,a)].
% 0.80/1.12 Derived: -l2_struct_0(A) | -l1_vectsp_2(B,A) | l2_struct_0(B). [resolve(157,c,151,a)].
% 0.80/1.12 Derived: -l2_struct_0(A) | -l1_vectsp_2(B,A) | v1_funct_1(u1_rlvect_1(B)). [resolve(157,c,152,a)].
% 0.80/1.12 Derived: -l2_struct_0(A) | -l1_vectsp_2(B,A) | v1_funct_2(u1_rlvect_1(B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(B)). [resolve(157,c,153,a)].
% 0.80/1.12 Derived: -l2_struct_0(A) | -l1_vectsp_2(B,A) | m2_relset_1(u1_rlvect_1(B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(B)). [resolve(157,c,154,a)].
% 0.80/1.12 158 -l1_vectsp_2(A,c3) | l1_rlvect_1(A). [resolve(88,a,83,a)].
% 0.80/1.12 Derived: -l1_vectsp_2(A,c3) | l2_struct_0(A). [resolve(158,b,151,a)].
% 0.80/1.12 Derived: -l1_vectsp_2(A,c3) | v1_funct_1(u1_rlvect_1(A)). [resolve(158,b,152,a)].
% 0.80/1.12 Derived: -l1_vectsp_2(A,c3) | v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(158,b,153,a)].
% 0.80/1.12 Derived: -l1_vectsp_2(A,c3) | m2_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(158,b,154,a)].
% 0.80/1.12 159 -l1_vectsp_2(A,c10) | l1_rlvect_1(A). [resolve(98,a,83,a)].
% 0.80/1.12 Derived: -l1_vectsp_2(A,c10) | l2_struct_0(A). [resolve(159,b,151,a)].
% 0.80/1.12 Derived: -l1_vectsp_2(A,c10) | v1_funct_1(u1_rlvect_1(A)). [resolve(159,b,152,a)].
% 0.80/1.14 Derived: -l1_vectsp_2(A,c10) | v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(159,b,153,a)].
% 0.80/1.14 Derived: -l1_vectsp_2(A,c10) | m2_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(159,b,154,a)].
% 0.80/1.14 160 -l3_vectsp_1(A) | l2_vectsp_1(A) # label(dt_l3_vectsp_1) # label(axiom). [clausify(23)].
% 0.80/1.14 161 -l2_vectsp_1(A) | l2_struct_0(A) # label(dt_l2_vectsp_1) # label(axiom). [clausify(22)].
% 0.80/1.14 162 l2_vectsp_1(c6) # label(existence_l2_vectsp_1) # label(axiom). [clausify(38)].
% 0.80/1.14 Derived: l2_struct_0(c6). [resolve(162,a,161,a)].
% 0.80/1.14 163 -l2_vectsp_1(A) | v3_struct_0(A) | -v7_group_1(A) | -v8_vectsp_1(A) | v2_group_1(A). [resolve(105,b,106,a)].
% 0.80/1.14 Derived: v3_struct_0(A) | -v7_group_1(A) | -v8_vectsp_1(A) | v2_group_1(A) | -l3_vectsp_1(A). [resolve(163,a,160,b)].
% 0.80/1.14 Derived: v3_struct_0(c6) | -v7_group_1(c6) | -v8_vectsp_1(c6) | v2_group_1(c6). [resolve(163,a,162,a)].
% 0.80/1.14 164 -l2_vectsp_1(A) | v3_struct_0(A) | -v7_group_1(A) | -v8_vectsp_1(A) | v6_vectsp_1(A). [resolve(105,b,107,a)].
% 0.80/1.14 Derived: v3_struct_0(A) | -v7_group_1(A) | -v8_vectsp_1(A) | v6_vectsp_1(A) | -l3_vectsp_1(A). [resolve(164,a,160,b)].
% 0.80/1.14 Derived: v3_struct_0(c6) | -v7_group_1(c6) | -v8_vectsp_1(c6) | v6_vectsp_1(c6). [resolve(164,a,162,a)].
% 0.80/1.14 165 -l2_vectsp_1(A) | v3_struct_0(A) | -v7_group_1(A) | -v6_vectsp_1(A) | v2_group_1(A). [resolve(105,b,108,a)].
% 0.80/1.14 Derived: v3_struct_0(A) | -v7_group_1(A) | -v6_vectsp_1(A) | v2_group_1(A) | -l3_vectsp_1(A). [resolve(165,a,160,b)].
% 0.80/1.14 Derived: v3_struct_0(c6) | -v7_group_1(c6) | -v6_vectsp_1(c6) | v2_group_1(c6). [resolve(165,a,162,a)].
% 0.80/1.14 166 -l2_vectsp_1(A) | v3_struct_0(A) | -v7_group_1(A) | -v6_vectsp_1(A) | v8_vectsp_1(A). [resolve(105,b,109,a)].
% 0.80/1.14 Derived: v3_struct_0(A) | -v7_group_1(A) | -v6_vectsp_1(A) | v8_vectsp_1(A) | -l3_vectsp_1(A). [resolve(166,a,160,b)].
% 0.80/1.14 Derived: v3_struct_0(c6) | -v7_group_1(c6) | -v6_vectsp_1(c6) | v8_vectsp_1(c6). [resolve(166,a,162,a)].
% 0.80/1.14 167 -l2_vectsp_1(A) | l1_group_1(A). [resolve(105,b,110,a)].
% 0.80/1.14 Derived: l1_group_1(A) | -l3_vectsp_1(A). [resolve(167,a,160,b)].
% 0.80/1.14 Derived: l1_group_1(c6). [resolve(167,a,162,a)].
% 0.80/1.14 168 m2_relset_1(f5(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(43)].
% 0.80/1.14 169 -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(27)].
% 0.80/1.14 Derived: m1_subset_1(f5(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(168,a,169,a)].
% 0.80/1.14 170 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(64)].
% 0.80/1.14 Derived: m1_relset_1(f5(A,B),A,B). [resolve(170,a,168,a)].
% 0.80/1.14 171 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(64)].
% 0.80/1.14 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(171,a,169,a)].
% 0.80/1.14 172 -l1_vectsp_2(A,B) | m2_relset_1(u1_vectsp_2(B,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A)) | -l1_group_1(B). [resolve(87,a,79,b)].
% 0.80/1.14 Derived: -l1_vectsp_2(A,B) | -l1_group_1(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)))). [resolve(172,b,169,a)].
% 0.80/1.14 Derived: -l1_vectsp_2(A,B) | -l1_group_1(B) | m1_relset_1(u1_vectsp_2(B,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A)). [resolve(172,b,170,a)].
% 0.80/1.14 173 -l1_vectsp_2(A,B) | m2_relset_1(u1_vectsp_2(B,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A)) | -l2_struct_0(B). [resolve(87,a,84,b)].
% 0.80/1.14 Derived: -l1_vectsp_2(A,B) | -l2_struct_0(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)))). [resolve(173,b,169,a)].
% 0.80/1.14 Derived: -l1_vectsp_2(A,B) | -l2_struct_0(B) | m1_relset_1(u1_vectsp_2(B,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A)). [resolve(173,b,170,a)].
% 0.80/1.14 174 -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(88,a,87,a)].
% 0.80/1.14 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(174,b,169,a)].
% 0.80/1.15 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(174,b,170,a)].
% 0.80/1.15 175 -l1_vectsp_2(A,c10) | m2_relset_1(u1_vectsp_2(c10,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c10)),u1_struct_0(A)). [resolve(98,a,87,a)].
% 0.80/1.15 Derived: -l1_vectsp_2(A,c10) | m1_subset_1(u1_vectsp_2(c10,A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c10)),u1_struct_0(A)))). [resolve(175,b,169,a)].
% 0.80/1.15 Derived: -l1_vectsp_2(A,c10) | m1_relset_1(u1_vectsp_2(c10,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c10)),u1_struct_0(A)). [resolve(175,b,170,a)].
% 0.80/1.15 176 m2_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_vectsp_1(A). [resolve(154,a,150,b)].
% 0.80/1.15 Derived: -l3_vectsp_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(176,a,169,a)].
% 0.80/1.15 Derived: -l3_vectsp_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(176,a,170,a)].
% 0.80/1.15 177 m2_relset_1(u1_rlvect_1(c2),k2_zfmisc_1(u1_struct_0(c2),u1_struct_0(c2)),u1_struct_0(c2)). [resolve(155,a,154,a)].
% 0.80/1.15 Derived: m1_subset_1(u1_rlvect_1(c2),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(c2),u1_struct_0(c2)),u1_struct_0(c2)))). [resolve(177,a,169,a)].
% 0.80/1.15 Derived: m1_relset_1(u1_rlvect_1(c2),k2_zfmisc_1(u1_struct_0(c2),u1_struct_0(c2)),u1_struct_0(c2)). [resolve(177,a,170,a)].
% 0.80/1.15 178 -l1_vectsp_2(A,B) | -l1_group_1(B) | m2_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(156,b,154,a)].
% 0.80/1.15 Derived: -l1_vectsp_2(A,B) | -l1_group_1(B) | 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(178,c,169,a)].
% 0.80/1.15 Derived: -l1_vectsp_2(A,B) | -l1_group_1(B) | m1_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(178,c,170,a)].
% 0.80/1.15 179 -l2_struct_0(A) | -l1_vectsp_2(B,A) | m2_relset_1(u1_rlvect_1(B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(B)). [resolve(157,c,154,a)].
% 0.80/1.15 Derived: -l2_struct_0(A) | -l1_vectsp_2(B,A) | m1_subset_1(u1_rlvect_1(B),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(B)))). [resolve(179,c,169,a)].
% 0.80/1.15 Derived: -l2_struct_0(A) | -l1_vectsp_2(B,A) | m1_relset_1(u1_rlvect_1(B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(B)). [resolve(179,c,170,a)].
% 0.80/1.15 180 -l1_vectsp_2(A,c3) | m2_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(158,b,154,a)].
% 0.80/1.15 Derived: -l1_vectsp_2(A,c3) | 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(180,b,169,a)].
% 0.80/1.15 Derived: -l1_vectsp_2(A,c3) | m1_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(180,b,170,a)].
% 0.80/1.15 181 -l1_vectsp_2(A,c10) | m2_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(159,b,154,a)].
% 0.80/1.15 Derived: -l1_vectsp_2(A,c10) | 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(181,b,169,a)].
% 0.80/1.15 Derived: -l1_vectsp_2(A,c10) | m1_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(181,b,170,a)].
% 0.80/1.15 182 -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(79,b,80,a)].
% 0.80/1.15 183 l1_group_1(c1) # label(existence_l1_group_1) # label(axiom). [clausify(32)].
% 0.80/1.15 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(182,a,183,a)].
% 0.80/1.15 184 -l1_group_1(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | v3_vectsp_2(g1_vectsp_2(A,C,B,D,E),A). [resolve(79,b,81,a)].
% 0.80/1.15 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | v3_vectsp_2(g1_vectsp_2(c1,B,A,C,D),c1). [resolve(184,a,183,a)].
% 0.80/1.15 185 -l1_group_1(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | l1_vectsp_2(g1_vectsp_2(A,C,B,D,E),A). [resolve(79,b,82,a)].
% 0.80/1.15 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | l1_vectsp_2(g1_vectsp_2(c1,B,A,C,D),c1). [resolve(185,a,183,a)].
% 0.80/1.15 186 -l1_vectsp_2(A,B) | v1_funct_1(u1_vectsp_2(B,A)) | -l1_group_1(B). [resolve(85,a,79,b)].
% 0.80/1.15 Derived: -l1_vectsp_2(A,c1) | v1_funct_1(u1_vectsp_2(c1,A)). [resolve(186,c,183,a)].
% 0.80/1.15 187 -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)) | -l1_group_1(B). [resolve(86,a,79,b)].
% 0.80/1.15 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(187,c,183,a)].
% 0.80/1.15 188 l1_vectsp_2(f1(A),A) | -l1_group_1(A). [resolve(89,a,79,b)].
% 0.80/1.15 Derived: l1_vectsp_2(f1(c1),c1). [resolve(188,b,183,a)].
% 0.80/1.15 189 v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_group_1(A). [resolve(90,b,79,b)].
% 0.80/1.15 Derived: v3_struct_0(c1) | -v1_xboole_0(u1_struct_0(c1)). [resolve(189,c,183,a)].
% 0.80/1.15 190 v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -m1_subset_1(C,A) | -v1_funct_1(D) | -v1_funct_2(D,k2_zfmisc_1(A,u1_struct_0(E)),A) | -m1_relset_1(D,k2_zfmisc_1(A,u1_struct_0(E)),A) | -v3_struct_0(g1_vectsp_2(E,A,B,C,D)) | -l1_group_1(E). [resolve(91,a,79,b)].
% 0.80/1.15 Derived: v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -m1_subset_1(C,A) | -v1_funct_1(D) | -v1_funct_2(D,k2_zfmisc_1(A,u1_struct_0(c1)),A) | -m1_relset_1(D,k2_zfmisc_1(A,u1_struct_0(c1)),A) | -v3_struct_0(g1_vectsp_2(c1,A,B,C,D)). [resolve(190,j,183,a)].
% 0.80/1.15 191 -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | F = E | -l1_group_1(E). [resolve(93,a,79,b)].
% 0.80/1.15 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c1,B,A,C,D) | E = c1. [resolve(191,j,183,a)].
% 0.80/1.15 192 -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V6 = B | -l1_group_1(E). [resolve(94,a,79,b)].
% 0.80/1.15 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c1,B,A,C,D) | F = B. [resolve(192,j,183,a)].
% 0.80/1.15 193 -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V7 = A | -l1_group_1(E). [resolve(95,a,79,b)].
% 0.80/1.15 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c1,B,A,C,D) | V6 = A. [resolve(193,j,183,a)].
% 0.80/1.15 194 -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V8 = C | -l1_group_1(E). [resolve(96,a,79,b)].
% 0.80/1.15 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c1,B,A,C,D) | V7 = C. [resolve(194,j,183,a)].
% 0.80/1.15 195 -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(E)),B) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(E,B,A,C,D) | V9 = D | -l1_group_1(E). [resolve(97,a,79,b)].
% 0.80/1.15 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c1)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c1,B,A,C,D) | V8 = D. [resolve(195,j,183,a)].
% 0.80/1.15 196 v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_group_1(A). [resolve(99,b,79,b)].
% 0.80/1.15 Derived: v3_struct_0(c1) | m1_subset_1(f11(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(196,c,183,a)].
% 0.80/1.15 197 v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l1_group_1(A). [resolve(100,b,79,b)].
% 0.80/1.15 Derived: v3_struct_0(c1) | -v1_xboole_0(f11(c1)). [resolve(197,c,183,a)].
% 0.80/1.15 198 l1_vectsp_2(f12(A),A) | -l1_group_1(A). [resolve(101,a,79,b)].
% 0.80/1.15 Derived: l1_vectsp_2(f12(c1),c1). [resolve(198,b,183,a)].
% 0.80/1.15 199 v3_vectsp_2(f12(A),A) | -l1_group_1(A). [resolve(102,a,79,b)].
% 0.80/1.15 Derived: v3_vectsp_2(f12(c1),c1). [resolve(199,b,183,a)].
% 0.80/1.15 200 l1_vectsp_2(f13(A),A) | -l1_group_1(A). [resolve(103,a,79,b)].
% 0.80/1.15 Derived: l1_vectsp_2(f13(c1),c1). [resolve(200,b,183,a)].
% 0.80/1.15 201 -v3_struct_0(f13(A)) | -l1_group_1(A). [resolve(104,a,79,b)].
% 0.80/1.15 Derived: -v3_struct_0(f13(c1)). [resolve(201,b,183,a)].
% 0.80/1.15 202 l1_group_1(c4). [resolve(111,a,110,a)].
% 0.80/1.15 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(202,a,182,a)].
% 0.80/1.15 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | v3_vectsp_2(g1_vectsp_2(c4,B,A,C,D),c4). [resolve(202,a,184,a)].
% 0.80/1.15 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | l1_vectsp_2(g1_vectsp_2(c4,B,A,C,D),c4). [resolve(202,a,185,a)].
% 0.80/1.15 Derived: -l1_vectsp_2(A,c4) | v1_funct_1(u1_vectsp_2(c4,A)). [resolve(202,a,186,c)].
% 0.80/1.15 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(202,a,187,c)].
% 0.80/1.15 Derived: l1_vectsp_2(f1(c4),c4). [resolve(202,a,188,b)].
% 0.80/1.15 Derived: v3_struct_0(c4) | -v1_xboole_0(u1_struct_0(c4)). [resolve(202,a,189,c)].
% 0.80/1.15 Derived: v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -m1_subset_1(C,A) | -v1_funct_1(D) | -v1_funct_2(D,k2_zfmisc_1(A,u1_struct_0(c4)),A) | -m1_relset_1(D,k2_zfmisc_1(A,u1_struct_0(c4)),A) | -v3_struct_0(g1_vectsp_2(c4,A,B,C,D)). [resolve(202,a,190,j)].
% 0.80/1.15 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c4,B,A,C,D) | E = c4. [resolve(202,a,191,j)].
% 0.80/1.16 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c4,B,A,C,D) | F = B. [resolve(202,a,192,j)].
% 0.80/1.16 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c4,B,A,C,D) | V6 = A. [resolve(202,a,193,j)].
% 0.80/1.16 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c4,B,A,C,D) | V7 = C. [resolve(202,a,194,j)].
% 0.80/1.16 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c4)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c4,B,A,C,D) | V8 = D. [resolve(202,a,195,j)].
% 0.80/1.16 Derived: v3_struct_0(c4) | m1_subset_1(f11(c4),k1_zfmisc_1(u1_struct_0(c4))). [resolve(202,a,196,c)].
% 0.80/1.16 Derived: v3_struct_0(c4) | -v1_xboole_0(f11(c4)). [resolve(202,a,197,c)].
% 0.80/1.16 Derived: l1_vectsp_2(f12(c4),c4). [resolve(202,a,198,b)].
% 0.80/1.16 Derived: v3_vectsp_2(f12(c4),c4). [resolve(202,a,199,b)].
% 0.80/1.16 Derived: l1_vectsp_2(f13(c4),c4). [resolve(202,a,200,b)].
% 0.80/1.16 Derived: -v3_struct_0(f13(c4)). [resolve(202,a,201,b)].
% 0.80/1.16 203 -l1_vectsp_2(A,B) | -l1_group_1(B) | l2_struct_0(A). [resolve(156,b,151,a)].
% 0.80/1.16 Derived: -l1_vectsp_2(A,c1) | l2_struct_0(A). [resolve(203,b,183,a)].
% 0.80/1.16 Derived: -l1_vectsp_2(A,c4) | l2_struct_0(A). [resolve(203,b,202,a)].
% 0.80/1.16 204 -l1_vectsp_2(A,B) | -l1_group_1(B) | v1_funct_1(u1_rlvect_1(A)). [resolve(156,b,152,a)].
% 0.80/1.16 Derived: -l1_vectsp_2(A,c1) | v1_funct_1(u1_rlvect_1(A)). [resolve(204,b,183,a)].
% 0.80/1.16 Derived: -l1_vectsp_2(A,c4) | v1_funct_1(u1_rlvect_1(A)). [resolve(204,b,202,a)].
% 0.80/1.16 205 -l1_vectsp_2(A,B) | -l1_group_1(B) | v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(156,b,153,a)].
% 0.80/1.16 Derived: -l1_vectsp_2(A,c1) | v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(205,b,183,a)].
% 0.80/1.16 Derived: -l1_vectsp_2(A,c4) | v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(205,b,202,a)].
% 0.80/1.16 206 l1_group_1(A) | -l3_vectsp_1(A). [resolve(167,a,160,b)].
% 0.80/1.16 Derived: -l3_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(206,a,182,a)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | v3_vectsp_2(g1_vectsp_2(A,C,B,D,E),A). [resolve(206,a,184,a)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | l1_vectsp_2(g1_vectsp_2(A,C,B,D,E),A). [resolve(206,a,185,a)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | -l1_vectsp_2(B,A) | v1_funct_1(u1_vectsp_2(A,B)). [resolve(206,a,186,c)].
% 0.80/1.16 Derived: -l3_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(206,a,187,c)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | l1_vectsp_2(f1(A),A). [resolve(206,a,188,b)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(206,a,189,c)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | v1_xboole_0(B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | -m1_subset_1(D,B) | -v1_funct_1(E) | -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) | -v3_struct_0(g1_vectsp_2(A,B,C,D,E)). [resolve(206,a,190,j)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | F = A. [resolve(206,a,191,j)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V6 = C. [resolve(206,a,192,j)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V7 = B. [resolve(206,a,193,j)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V8 = D. [resolve(206,a,194,j)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | -v1_funct_1(B) | -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) | -v1_funct_2(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | -m1_relset_1(E,k2_zfmisc_1(C,u1_struct_0(A)),C) | g1_vectsp_2(F,V6,V7,V8,V9) != g1_vectsp_2(A,C,B,D,E) | V9 = E. [resolve(206,a,195,j)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(206,a,196,c)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(f11(A)). [resolve(206,a,197,c)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | l1_vectsp_2(f12(A),A). [resolve(206,a,198,b)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | v3_vectsp_2(f12(A),A). [resolve(206,a,199,b)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | l1_vectsp_2(f13(A),A). [resolve(206,a,200,b)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | -v3_struct_0(f13(A)). [resolve(206,a,201,b)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | -l1_vectsp_2(B,A) | l2_struct_0(B). [resolve(206,a,203,b)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | -l1_vectsp_2(B,A) | v1_funct_1(u1_rlvect_1(B)). [resolve(206,a,204,b)].
% 0.80/1.16 Derived: -l3_vectsp_1(A) | -l1_vectsp_2(B,A) | v1_funct_2(u1_rlvect_1(B),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_struct_0(B)). [resolve(206,a,205,b)].
% 0.80/1.16 207 l1_group_1(c6). [resolve(167,a,162,a)].
% 0.80/1.16 Derived: -l1_vectsp_2(A,c6) | -v3_vectsp_2(A,c6) | g1_vectsp_2(c6,u1_struct_0(A),u1_rlvect_1(A),u2_struct_0(A),u1_vectsp_2(c6,A)) = A. [resolve(207,a,182,a)].
% 0.80/1.16 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c6)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c6)),B) | v3_vectsp_2(g1_vectsp_2(c6,B,A,C,D),c6). [resolve(207,a,184,a)].
% 0.80/1.16 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c6)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c6)),B) | l1_vectsp_2(g1_vectsp_2(c6,B,A,C,D),c6). [resolve(207,a,185,a)].
% 0.80/1.16 Derived: -l1_vectsp_2(A,c6) | v1_funct_1(u1_vectsp_2(c6,A)). [resolve(207,a,186,c)].
% 0.80/1.16 Derived: -l1_vectsp_2(A,c6) | v1_funct_2(u1_vectsp_2(c6,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c6)),u1_struct_0(A)). [resolve(207,a,187,c)].
% 0.80/1.16 Derived: l1_vectsp_2(f1(c6),c6). [resolve(207,a,188,b)].
% 0.80/1.16 Derived: v3_struct_0(c6) | -v1_xboole_0(u1_struct_0(c6)). [resolve(207,a,189,c)].
% 0.80/1.16 Derived: v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -m1_subset_1(C,A) | -v1_funct_1(D) | -v1_funct_2(D,k2_zfmisc_1(A,u1_struct_0(c6)),A) | -m1_relset_1(D,k2_zfmisc_1(A,u1_struct_0(c6)),A) | -v3_struct_0(g1_vectsp_2(c6,A,B,C,D)). [resolve(207,a,190,j)].
% 0.80/1.16 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c6)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c6)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c6,B,A,C,D) | E = c6. [resolve(207,a,191,j)].
% 0.80/1.16 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c6)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c6)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c6,B,A,C,D) | F = B. [resolve(207,a,192,j)].
% 0.80/1.16 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c6)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c6)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c6,B,A,C,D) | V6 = A. [resolve(207,a,193,j)].
% 0.80/1.16 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c6)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c6)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c6,B,A,C,D) | V7 = C. [resolve(207,a,194,j)].
% 0.80/1.16 Derived: -v1_funct_1(A) | -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) | -v1_funct_2(D,k2_zfmisc_1(B,u1_struct_0(c6)),B) | -m1_relset_1(D,k2_zfmisc_1(B,u1_struct_0(c6)),B) | g1_vectsp_2(E,F,V6,V7,V8) != g1_vectsp_2(c6,B,A,C,D) | V8 = D. [resolve(207,a,195,j)].
% 0.80/1.16 Derived: v3_struct_0(c6) | m1_subset_1(f11(c6),k1_zfmisc_1(u1_struct_0(c6))). [resolve(207,a,196,c)].
% 0.80/1.16 Derived: v3_struct_0(c6) | -v1_xboole_0(f11(c6)). [resolve(207,a,197,c)].
% 0.80/1.16 Derived: l1_vectsp_2(f12(c6),c6). [resolve(207,a,198,b)].
% 0.80/1.16 Derived: v3_vectsp_2(f12(c6),c6). [resolve(207,a,199,b)].
% 0.80/1.16 Derived: l1_vectsp_2(f13(c6),c6). [resolve(207,a,200,b)].
% 0.80/1.16 Derived: -v3_struct_0(f13(c6)). [resolve(207,a,201,b)].
% 0.80/1.16 Derived: -l1_vectsp_2(A,c6) | l2_struct_0(A). [resolve(207,a,203,b)].
% 0.80/1.16 Derived: -l1_vectsp_2(A,c6) | v1_funct_1(u1_rlvect_1(A)). [resolve(207,a,204,b)].
% 0.80/1.16 Derived: -l1_vectsp_2(A,c6) | v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(207,a,205,b)].
% 0.80/1.16 208 -l1_vectsp_2(A,B) | -l1_group_1(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)))). [resolve(172,b,169,a)].
% 0.80/1.16 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(208,b,183,a)].
% 0.80/1.16 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(208,b,202,a)].
% 0.80/1.16 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(208,b,206,a)].
% 0.80/1.16 Derived: -l1_vectsp_2(A,c6) | m1_subset_1(u1_vectsp_2(c6,A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c6)),u1_struct_0(A)))). [resolve(208,b,207,a)].
% 0.80/1.16 209 -l1_vectsp_2(A,B) | -l1_group_1(B) | m1_relset_1(u1_vectsp_2(B,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)),u1_struct_0(A)). [resolve(172,b,170,a)].
% 0.80/1.16 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(209,b,183,a)].
% 0.80/1.16 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(209,b,202,a)].
% 0.80/1.16 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(209,b,206,a)].
% 0.80/1.17 Derived: -l1_vectsp_2(A,c6) | m1_relset_1(u1_vectsp_2(c6,A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(c6)),u1_struct_0(A)). [resolve(209,b,207,a)].
% 0.80/1.17 210 -l1_vectsp_2(A,B) | -l1_group_1(B) | 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(178,c,169,a)].
% 0.80/1.17 Derived: -l1_vectsp_2(A,c1) | 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(210,b,183,a)].
% 0.80/1.17 Derived: -l1_vectsp_2(A,c4) | 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(210,b,202,a)].
% 0.80/1.17 Derived: -l1_vectsp_2(A,B) | 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)))) | -l3_vectsp_1(B). [resolve(210,b,206,a)].
% 0.80/1.17 Derived: -l1_vectsp_2(A,c6) | 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(210,b,207,a)].
% 0.80/1.17 211 -l1_vectsp_2(A,B) | -l1_group_1(B) | m1_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(178,c,170,a)].
% 0.80/1.17 Derived: -l1_vectsp_2(A,c1) | m1_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(211,b,183,a)].
% 0.80/1.17 Derived: -l1_vectsp_2(A,c4) | m1_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(211,b,202,a)].
% 0.80/1.17 Derived: -l1_vectsp_2(A,B) | m1_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_vectsp_1(B). [resolve(211,b,206,a)].
% 0.80/1.17 Derived: -l1_vectsp_2(A,c6) | m1_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(211,b,207,a)].
% 0.80/1.17 212 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(72)].
% 0.80/1.17 213 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(65)].
% 0.80/1.17 214 r1_tarski(k3_xboole_0(A,B),A) # label(t17_xboole_1) # label(axiom). [clausify(67)].
% 0.80/1.17 215 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(72)].
% 0.80/1.17 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(212,b,213,a)].
% 0.80/1.17 Derived: m1_subset_1(k3_xboole_0(A,B),k1_zfmisc_1(A)). [resolve(212,b,214,a)].
% 0.80/1.17 216 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v7_group_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | v10_vectsp_1(c12) | -v2_vectsp_2(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) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | -r1_tarski(B,C) | m1_rmod_2(k1_rmod_5(c12,A,B),c12,k1_rmod_5(c12,A,C)). [resolve(112,a,148,f)].
% 0.80/1.17 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v7_group_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | v10_vectsp_1(c12) | -v2_vectsp_2(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) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_rmod_2(k1_rmod_5(c12,A,B),c12,k1_rmod_5(c12,A,B)). [resolve(216,v,213,a)].
% 0.80/1.17 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v7_group_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | v10_vectsp_1(c12) | -v2_vectsp_2(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) | -m1_subset_1(k3_xboole_0(B,C),k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_rmod_2(k1_rmod_5(c12,A,k3_xboole_0(B,C)),c12,k1_rmod_5(c12,A,B)). [resolve(216,v,214,a)].
% 0.80/1.17 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v7_group_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | v10_vectsp_1(c12) | -v2_vectsp_2(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) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | m1_rmod_2(k1_rmod_5(c12,A,B),c12,k1_rmod_5(c12,A,C)) | -m1_subset_1(B,k1_zfmisc_1(C)). [resolve(216,v,215,b)].
% 56.05/56.34
% 56.05/56.34 ============================== end predicate elimination =============
% 56.05/56.34
% 56.05/56.34 Auto_denials: (non-Horn, no changes).
% 56.05/56.34
% 56.05/56.34 Term ordering decisions:
% 56.05/56.34 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. c15=1. k2_zfmisc_1=1. u1_vectsp_2=1. k3_xboole_0=1. f2=1. f3=1. f5=1. f8=1. u1_struct_0=1. k1_zfmisc_1=1. u1_rlvect_1=1. u2_struct_0=1. f1=1. f4=1. f6=1. f7=1. f9=1. f10=1. f11=1. f12=1. f13=1. k1_rmod_5=1. k5_subset_1=1. k2_rmod_3=1. g1_vectsp_2=1.
% 56.05/56.34
% 56.05/56.34 ============================== end of process initial clauses ========
% 56.05/56.34
% 56.05/56.34 ============================== CLAUSES FOR SEARCH ====================
% 56.05/56.34
% 56.05/56.34 ============================== end of clauses for search =============
% 56.05/56.34
% 56.05/56.34 ============================== SEARCH ================================
% 56.05/56.34
% 56.05/56.34 % Starting search at 0.17 seconds.
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=55.000, iters=3744
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=53.000, iters=3551
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=51.000, iters=3386
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=49.000, iters=3439
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=46.000, iters=3341
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=45.000, iters=3350
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=42.000, iters=3373
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=36.000, iters=3418
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=33.000, iters=3369
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=32.000, iters=3361
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=30.000, iters=3335
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=28.000, iters=3384
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=26.000, iters=3368
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=24.000, iters=3333
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=22.000, iters=3335
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=21.000, iters=3402
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=20.000, iters=3339
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=19.000, iters=3665
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=18.000, iters=3489
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=17.000, iters=3335
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=16.000, iters=3340
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=15.000, iters=3336
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=14.000, iters=3412
% 56.05/56.34
% 56.05/56.34 Low Water (displace): id=7529, wt=67.000
% 56.05/56.34
% 56.05/56.34 Low Water (displace): id=8064, wt=62.000
% 56.05/56.34
% 56.05/56.34 Low Water (displace): id=19248, wt=13.000
% 56.05/56.34
% 56.05/56.34 Low Water (displace): id=19249, wt=12.000
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=13.000, iters=3334
% 56.05/56.34
% 56.05/56.34 Low Water (displace): id=19884, wt=11.000
% 56.05/56.34
% 56.05/56.34 Low Water (displace): id=19885, wt=10.000
% 56.05/56.34
% 56.05/56.34 Low Water (keep): wt=12.000, iters=3341
% 56.05/56.34
% 56.05/56.34 ============================== PROOF =================================
% 56.05/56.34 % SZS status Theorem
% 56.05/56.34 % SZS output start Refutation
% 56.05/56.34
% 56.05/56.34 % Proof 1 at 55.11 (+ 0.18) seconds.
% 56.05/56.34 % Length of proof is 70.
% 56.05/56.34 % Level of proof is 8.
% 56.05/56.34 % Maximum clause weight is 44.000.
% 56.05/56.34 % Given clauses 24650.
% 56.05/56.34
% 56.05/56.34 6 (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].
% 56.05/56.34 9 (all A all B all C (-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_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) & -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(k1_rmod_5(A,B,C),A) & m1_rmod_2(k1_rmod_5(A,B,C),A,B))) # label(dt_k1_rmod_5) # label(axiom) # label(non_clause). [assumption].
% 56.05/56.34 15 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k5_subset_1) # label(axiom) # label(non_clause). [assumption].
% 56.05/56.34 63 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k5_subset_1(A,B,C) = k3_xboole_0(B,C))) # label(redefinition_k5_subset_1) # label(axiom) # label(non_clause). [assumption].
% 56.05/56.34 66 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) -> (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 (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r1_tarski(C,D) -> m1_rmod_2(k1_rmod_5(A,B,C),A,k1_rmod_5(A,B,D))))))))))) # label(t15_rmod_5) # label(axiom) # label(non_clause). [assumption].
% 56.05/56.34 67 (all A all B r1_tarski(k3_xboole_0(A,B),A)) # label(t17_xboole_1) # label(axiom) # label(non_clause). [assumption].
% 56.05/56.34 69 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (all C (m1_rmod_2(C,A,B) -> (all D (m1_rmod_2(D,A,B) -> (all E (m1_rmod_2(E,A,B) -> (m1_rmod_2(C,A,D) & m1_rmod_2(C,A,E) -> m1_rmod_2(C,A,k2_rmod_3(A,B,D,E))))))))))))) # label(t24_rmod_3) # label(axiom) # label(non_clause). [assumption].
% 56.05/56.34 72 (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].
% 56.05/56.34 78 -(all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v7_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & -v10_vectsp_1(A) & v2_vectsp_2(A) & l3_vectsp_1(A) -> (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 (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> m1_rmod_2(k1_rmod_5(A,B,k5_subset_1(u1_struct_0(B),C,D)),A,k2_rmod_3(A,B,k1_rmod_5(A,B,C),k1_rmod_5(A,B,D))))))))))) # label(t18_rmod_5) # label(negated_conjecture) # label(non_clause). [assumption].
% 56.05/56.34 112 v4_group_1(c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 114 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_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | v10_vectsp_1(A) | -v2_vectsp_2(A) | -l3_vectsp_1(A) | 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))) | m1_rmod_2(k1_rmod_5(A,B,C),A,B) # label(dt_k1_rmod_5) # label(axiom). [clausify(9)].
% 56.05/56.34 148 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_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | v10_vectsp_1(A) | -v2_vectsp_2(A) | -l3_vectsp_1(A) | 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))) | -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) | -r1_tarski(C,D) | m1_rmod_2(k1_rmod_5(A,B,C),A,k1_rmod_5(A,B,D)) # label(t15_rmod_5) # label(axiom). [clausify(66)].
% 56.05/56.34 149 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -m1_rmod_2(C,A,B) | -m1_rmod_2(D,A,B) | -m1_rmod_2(E,A,B) | -m1_rmod_2(C,A,D) | -m1_rmod_2(C,A,E) | m1_rmod_2(C,A,k2_rmod_3(A,B,D,E)) # label(t24_rmod_3) # label(axiom). [clausify(69)].
% 56.05/56.34 212 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(72)].
% 56.05/56.34 214 r1_tarski(k3_xboole_0(A,B),A) # label(t17_xboole_1) # label(axiom). [clausify(67)].
% 56.05/56.34 215 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(72)].
% 56.05/56.34 216 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v7_group_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | v10_vectsp_1(c12) | -v2_vectsp_2(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) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | -r1_tarski(B,C) | m1_rmod_2(k1_rmod_5(c12,A,B),c12,k1_rmod_5(c12,A,C)). [resolve(112,a,148,f)].
% 56.05/56.34 218 k3_xboole_0(A,B) = k3_xboole_0(B,A) # label(commutativity_k3_xboole_0) # label(axiom). [clausify(6)].
% 56.05/56.34 220 -m1_subset_1(A,k1_zfmisc_1(B)) | -m1_subset_1(C,k1_zfmisc_1(B)) | m1_subset_1(k5_subset_1(B,A,C),k1_zfmisc_1(B)) # label(dt_k5_subset_1) # label(axiom). [clausify(15)].
% 56.05/56.34 240 -m1_subset_1(A,k1_zfmisc_1(B)) | -m1_subset_1(C,k1_zfmisc_1(B)) | k5_subset_1(B,A,C) = k3_xboole_0(A,C) # label(redefinition_k5_subset_1) # label(axiom). [clausify(63)].
% 56.05/56.34 249 -v3_struct_0(c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 250 v3_rlvect_1(c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 251 v4_rlvect_1(c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 252 v5_rlvect_1(c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 253 v6_rlvect_1(c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 254 v7_group_1(c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 255 v6_vectsp_1(c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 256 v7_vectsp_1(c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 257 v8_vectsp_1(c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 258 -v10_vectsp_1(c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 259 v2_vectsp_2(c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 260 l3_vectsp_1(c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 261 -v3_struct_0(c13) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 262 v3_rlvect_1(c13) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 263 v4_rlvect_1(c13) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 264 v5_rlvect_1(c13) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 265 v6_rlvect_1(c13) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 266 v5_vectsp_2(c13,c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 267 l1_vectsp_2(c13,c12) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 268 m1_subset_1(c14,k1_zfmisc_1(u1_struct_0(c13))) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 269 m1_subset_1(c15,k1_zfmisc_1(u1_struct_0(c13))) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 270 -m1_rmod_2(k1_rmod_5(c12,c13,k5_subset_1(u1_struct_0(c13),c14,c15)),c12,k2_rmod_3(c12,c13,k1_rmod_5(c12,c13,c14),k1_rmod_5(c12,c13,c15))) # label(t18_rmod_5) # label(negated_conjecture). [clausify(78)].
% 56.05/56.34 345 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v7_group_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | v10_vectsp_1(c12) | -v2_vectsp_2(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) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_rmod_2(k1_rmod_5(c12,A,B),c12,A). [resolve(112,a,114,f)].
% 56.05/56.34 346 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))) | m1_rmod_2(k1_rmod_5(c12,A,B),c12,A). [copy(345),unit_del(a,249),unit_del(b,250),unit_del(c,251),unit_del(d,252),unit_del(e,253),unit_del(f,254),unit_del(g,255),unit_del(h,256),unit_del(i,257),unit_del(j,258),unit_del(k,259),unit_del(l,260)].
% 56.05/56.34 413 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_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) | -m1_rmod_2(B,c12,A) | -m1_rmod_2(C,c12,A) | -m1_rmod_2(D,c12,A) | -m1_rmod_2(B,c12,C) | -m1_rmod_2(B,c12,D) | m1_rmod_2(B,c12,k2_rmod_3(c12,A,C,D)). [resolve(112,a,149,f)].
% 56.05/56.34 414 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_rmod_2(B,c12,A) | -m1_rmod_2(C,c12,A) | -m1_rmod_2(D,c12,A) | -m1_rmod_2(B,c12,C) | -m1_rmod_2(B,c12,D) | m1_rmod_2(B,c12,k2_rmod_3(c12,A,C,D)). [copy(413),unit_del(a,249),unit_del(b,250),unit_del(c,251),unit_del(d,252),unit_del(e,253),unit_del(f,255),unit_del(g,256),unit_del(h,257),unit_del(i,260)].
% 56.05/56.34 574 m1_subset_1(k3_xboole_0(A,B),k1_zfmisc_1(A)). [resolve(212,b,214,a)].
% 56.05/56.34 577 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v7_group_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | v10_vectsp_1(c12) | -v2_vectsp_2(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) | -m1_subset_1(k3_xboole_0(B,C),k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_rmod_2(k1_rmod_5(c12,A,k3_xboole_0(B,C)),c12,k1_rmod_5(c12,A,B)). [resolve(216,v,214,a)].
% 56.05/56.34 578 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(k3_xboole_0(B,C),k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_rmod_2(k1_rmod_5(c12,A,k3_xboole_0(B,C)),c12,k1_rmod_5(c12,A,B)). [copy(577),unit_del(a,249),unit_del(b,250),unit_del(c,251),unit_del(d,252),unit_del(e,253),unit_del(f,254),unit_del(g,255),unit_del(h,256),unit_del(i,257),unit_del(j,258),unit_del(k,259),unit_del(l,260)].
% 56.05/56.34 579 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v7_group_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | v10_vectsp_1(c12) | -v2_vectsp_2(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) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | m1_rmod_2(k1_rmod_5(c12,A,B),c12,k1_rmod_5(c12,A,C)) | -m1_subset_1(B,k1_zfmisc_1(C)). [resolve(216,v,215,b)].
% 56.05/56.34 580 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))) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | m1_rmod_2(k1_rmod_5(c12,A,B),c12,k1_rmod_5(c12,A,C)) | -m1_subset_1(B,k1_zfmisc_1(C)). [copy(579),unit_del(a,249),unit_del(b,250),unit_del(c,251),unit_del(d,252),unit_del(e,253),unit_del(f,254),unit_del(g,255),unit_del(h,256),unit_del(i,257),unit_del(j,258),unit_del(k,259),unit_del(l,260)].
% 56.05/56.34 743 -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | k5_subset_1(u1_struct_0(c13),A,c14) = k3_xboole_0(A,c14). [resolve(268,a,240,b)].
% 56.05/56.34 744 -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | k5_subset_1(u1_struct_0(c13),c14,A) = k3_xboole_0(A,c14). [resolve(268,a,240,a),rewrite([218(10)])].
% 56.05/56.34 745 -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | m1_subset_1(k5_subset_1(u1_struct_0(c13),A,c14),k1_zfmisc_1(u1_struct_0(c13))). [resolve(268,a,220,b)].
% 56.05/56.34 795 -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | m1_rmod_2(k1_rmod_5(c12,c13,A),c12,c13). [resolve(346,f,266,a),unit_del(a,261),unit_del(b,262),unit_del(c,263),unit_del(d,264),unit_del(e,265),unit_del(f,267)].
% 56.05/56.34 1207 m1_subset_1(k3_xboole_0(A,B),k1_zfmisc_1(B)). [para(218(a,1),574(a,1))].
% 56.05/56.34 1211 -m1_subset_1(k3_xboole_0(A,B),k1_zfmisc_1(u1_struct_0(c13))) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | m1_rmod_2(k1_rmod_5(c12,c13,k3_xboole_0(A,B)),c12,k1_rmod_5(c12,c13,A)). [resolve(578,f,266,a),unit_del(a,261),unit_del(b,262),unit_del(c,263),unit_del(d,264),unit_del(e,265),unit_del(f,267)].
% 56.05/56.34 1213 -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c13))) | m1_rmod_2(k1_rmod_5(c12,c13,A),c12,k1_rmod_5(c12,c13,B)) | -m1_subset_1(A,k1_zfmisc_1(B)). [resolve(580,f,266,a),unit_del(a,261),unit_del(b,262),unit_del(c,263),unit_del(d,264),unit_del(e,265),unit_del(f,267)].
% 56.05/56.35 1945 k5_subset_1(u1_struct_0(c13),c15,c14) = k3_xboole_0(c14,c15). [resolve(743,a,269,a),rewrite([218(8)])].
% 56.05/56.35 1955 k5_subset_1(u1_struct_0(c13),c14,c15) = k3_xboole_0(c14,c15). [resolve(744,a,269,a),rewrite([218(8)])].
% 56.05/56.35 1956 -m1_rmod_2(k1_rmod_5(c12,c13,k3_xboole_0(c14,c15)),c12,k2_rmod_3(c12,c13,k1_rmod_5(c12,c13,c14),k1_rmod_5(c12,c13,c15))). [back_rewrite(270),rewrite([1955(7)])].
% 56.05/56.35 1987 m1_subset_1(k3_xboole_0(c14,c15),k1_zfmisc_1(u1_struct_0(c13))). [resolve(745,a,269,a),rewrite([1945(5)])].
% 56.05/56.35 2808 m1_rmod_2(k1_rmod_5(c12,c13,c15),c12,c13). [resolve(795,a,269,a)].
% 56.05/56.35 2809 m1_rmod_2(k1_rmod_5(c12,c13,c14),c12,c13). [resolve(795,a,268,a)].
% 56.05/56.35 7425 m1_rmod_2(k1_rmod_5(c12,c13,k3_xboole_0(c14,c15)),c12,c13). [resolve(1987,a,795,a)].
% 56.05/56.35 7661 -m1_rmod_2(A,c12,c13) | -m1_rmod_2(B,c12,c13) | -m1_rmod_2(A,c12,B) | -m1_rmod_2(A,c12,k1_rmod_5(c12,c13,c15)) | m1_rmod_2(A,c12,k2_rmod_3(c12,c13,B,k1_rmod_5(c12,c13,c15))). [resolve(2808,a,414,j),unit_del(a,261),unit_del(b,262),unit_del(c,263),unit_del(d,264),unit_del(e,265),unit_del(f,266),unit_del(g,267)].
% 56.05/56.35 11388 m1_rmod_2(k1_rmod_5(c12,c13,k3_xboole_0(c14,c15)),c12,k1_rmod_5(c12,c13,c14)). [resolve(1211,a,1987,a),unit_del(a,268)].
% 56.05/56.35 11448 -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | m1_rmod_2(k1_rmod_5(c12,c13,A),c12,k1_rmod_5(c12,c13,c15)) | -m1_subset_1(A,k1_zfmisc_1(c15)). [resolve(1213,b,269,a)].
% 56.05/56.35 37378 -m1_rmod_2(k1_rmod_5(c12,c13,k3_xboole_0(c14,c15)),c12,k1_rmod_5(c12,c13,c15)). [resolve(7661,c,11388,a),unit_del(a,7425),unit_del(b,2809),unit_del(d,1956)].
% 56.05/56.35 42640 $F. [resolve(11448,a,1987,a),unit_del(a,37378),unit_del(b,1207)].
% 56.05/56.35
% 56.05/56.35 % SZS output end Refutation
% 56.05/56.35 ============================== end of proof ==========================
% 56.05/56.35
% 56.05/56.35 ============================== STATISTICS ============================
% 56.05/56.35
% 56.05/56.35 Given=24650. Generated=262469. Kept=42356. proofs=1.
% 56.05/56.35 Usable=24573. Sos=6239. Demods=1444. Limbo=9, Disabled=11977. Hints=0.
% 56.05/56.35 Megabytes=40.31.
% 56.05/56.35 User_CPU=55.11, System_CPU=0.18, Wall_clock=55.
% 56.05/56.35
% 56.05/56.35 ============================== end of statistics =====================
% 56.05/56.35
% 56.05/56.35 ============================== end of search =========================
% 56.05/56.35
% 56.05/56.35 THEOREM PROVED
% 56.05/56.35 % SZS status Theorem
% 56.05/56.35
% 56.05/56.35 Exiting with 1 proof.
% 56.05/56.35
% 56.05/56.35 Process 1135 exit (max_proofs) Tue Jun 7 22:31:12 2022
% 56.05/56.35 Prover9 interrupted
%------------------------------------------------------------------------------