TSTP Solution File: GRP623+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP623+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.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 : Sat Jul 16 11:19:56 EDT 2022
% Result : Theorem 1.32s 1.61s
% Output : Refutation 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP623+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 00:40:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.80/1.06 ============================== Prover9 ===============================
% 0.80/1.06 Prover9 (32) version 2009-11A, November 2009.
% 0.80/1.06 Process 20315 was started by sandbox on n020.cluster.edu,
% 0.80/1.06 Tue Jun 14 00:40:05 2022
% 0.80/1.06 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_19944_n020.cluster.edu".
% 0.80/1.06 ============================== end of head ===========================
% 0.80/1.06
% 0.80/1.06 ============================== INPUT =================================
% 0.80/1.06
% 0.80/1.06 % Reading from file /tmp/Prover9_19944_n020.cluster.edu
% 0.80/1.06
% 0.80/1.06 set(prolog_style_variables).
% 0.80/1.06 set(auto2).
% 0.80/1.06 % set(auto2) -> set(auto).
% 0.80/1.06 % set(auto) -> set(auto_inference).
% 0.80/1.06 % set(auto) -> set(auto_setup).
% 0.80/1.06 % set(auto_setup) -> set(predicate_elim).
% 0.80/1.06 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.80/1.06 % set(auto) -> set(auto_limits).
% 0.80/1.06 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.80/1.06 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.80/1.06 % set(auto) -> set(auto_denials).
% 0.80/1.06 % set(auto) -> set(auto_process).
% 0.80/1.06 % set(auto2) -> assign(new_constants, 1).
% 0.80/1.06 % set(auto2) -> assign(fold_denial_max, 3).
% 0.80/1.06 % set(auto2) -> assign(max_weight, "200.000").
% 0.80/1.06 % set(auto2) -> assign(max_hours, 1).
% 0.80/1.06 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.80/1.06 % set(auto2) -> assign(max_seconds, 0).
% 0.80/1.06 % set(auto2) -> assign(max_minutes, 5).
% 0.80/1.06 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.80/1.06 % set(auto2) -> set(sort_initial_sos).
% 0.80/1.06 % set(auto2) -> assign(sos_limit, -1).
% 0.80/1.06 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.80/1.06 % set(auto2) -> assign(max_megs, 400).
% 0.80/1.06 % set(auto2) -> assign(stats, some).
% 0.80/1.06 % set(auto2) -> clear(echo_input).
% 0.80/1.06 % set(auto2) -> set(quiet).
% 0.80/1.06 % set(auto2) -> clear(print_initial_clauses).
% 0.80/1.06 % set(auto2) -> clear(print_given).
% 0.80/1.06 assign(lrs_ticks,-1).
% 0.80/1.06 assign(sos_limit,10000).
% 0.80/1.06 assign(order,kbo).
% 0.80/1.06 set(lex_order_vars).
% 0.80/1.06 clear(print_given).
% 0.80/1.06
% 0.80/1.06 % formulas(sos). % not echoed (64 formulas)
% 0.80/1.06
% 0.80/1.06 ============================== end of input ==========================
% 0.80/1.06
% 0.80/1.06 % From the command line: assign(max_seconds, 300).
% 0.80/1.06
% 0.80/1.06 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.80/1.06
% 0.80/1.06 % Formulas that are not ordinary clauses:
% 0.80/1.06 1 (all A (l1_group_1(A) -> (v1_group_1(A) -> A = g1_group_1(u1_struct_0(A),u1_group_1(A))))) # label(abstractness_v1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 3 (all A (v1_fraenkel(A) -> (all B (m1_subset_1(B,A) -> v1_relat_1(B) & v1_funct_1(B))))) # label(cc1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 4 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 5 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_partfun1(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,A,B)))) # label(cc1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 6 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v3_group_1(A) -> -v3_struct_0(A) & v2_group_1(A)))) # label(cc1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 7 (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].
% 0.80/1.06 8 (all A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 9 (all A all B (-v1_xboole_0(B) -> (all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_funct_2(C,A,B) -> v1_funct_1(C) & v1_partfun1(C,A,B) & v1_funct_2(C,A,B)))))) # label(cc5_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 10 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> (all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_funct_2(C,A,B) -> v1_funct_1(C) & -v1_xboole_0(C) & v1_partfun1(C,A,B) & v1_funct_2(C,A,B)))))) # label(cc6_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 11 (all A all B (r1_tarski(A,B) <-> (all C (r2_hidden(C,A) -> r2_hidden(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 12 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> v1_group_1(g1_group_1(A,B)) & l1_group_1(g1_group_1(A,B)))) # label(dt_g1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 13 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> m1_fraenkel(k1_autgroup(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k1_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 14 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 15 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 16 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 17 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k4_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 18 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 19 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 20 (all A all B all C (m1_fraenkel(C,A,B) -> -v1_xboole_0(C) & v1_fraenkel(C))) # label(dt_m1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 21 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 22 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 23 (all A all B all C (-v1_xboole_0(B) & m1_fraenkel(C,A,B) -> (all D (m2_fraenkel(D,A,B,C) -> v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B))))) # label(dt_m2_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 24 (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].
% 0.80/1.06 25 (all A (l1_group_1(A) -> v1_funct_1(u1_group_1(A)) & v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 26 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 27 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 28 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 29 (all A all B exists C m1_fraenkel(C,A,B)) # label(existence_m1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 30 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 31 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 32 (all A all B all C (-v1_xboole_0(B) & m1_fraenkel(C,A,B) -> (exists D m2_fraenkel(D,A,B,C)))) # label(existence_m2_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 33 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 34 (all A all B (-v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> -v3_struct_0(g1_group_1(A,B)) & v1_group_1(g1_group_1(A,B)))) # label(fc1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 35 (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].
% 0.80/1.06 36 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> (all C all D (g1_group_1(A,B) = g1_group_1(C,D) -> A = C & B = D)))) # label(free_g1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 37 (exists A (-v1_xboole_0(A) & v1_fraenkel(A))) # label(rc1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 38 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.06 39 (all A all B exists C (m1_relset_1(C,A,B) & v1_relat_1(C) & v1_funct_1(C) & v1_funct_2(C,A,B))) # label(rc1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 40 (exists A (l1_group_1(A) & v1_group_1(A))) # label(rc1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 41 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_xboole_0(A))) # label(rc1_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 42 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 43 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 44 (exists A (l1_group_1(A) & -v3_struct_0(A) & v1_group_1(A))) # label(rc2_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 45 (all A all B exists C (m1_relset_1(C,A,B) & v1_relat_1(C) & v1_funct_1(C))) # label(rc2_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 46 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 47 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 48 (exists A (l1_group_1(A) & -v3_struct_0(A) & v1_group_1(A) & v2_group_1(A) & v3_group_1(A) & v4_group_1(A))) # label(rc3_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 49 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 50 (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].
% 0.80/1.07 51 (all A all B all C (-v1_xboole_0(B) & m1_fraenkel(C,A,B) -> (all D (m2_fraenkel(D,A,B,C) <-> m1_subset_1(D,C))))) # label(redefinition_m2_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 52 (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].
% 0.80/1.07 53 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 54 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)))))) # label(t13_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 55 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 56 (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].
% 0.80/1.07 57 (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].
% 0.80/1.07 58 (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].
% 0.80/1.07 59 (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].
% 0.80/1.07 60 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 61 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 62 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.80/1.07 63 -(all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> r1_tarski(k4_autgroup(A),k1_autgroup(A)))) # label(t14_autgroup) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.80/1.07
% 0.80/1.07 ============================== end of process non-clausal formulas ===
% 0.80/1.07
% 0.80/1.07 ============================== PROCESS INITIAL CLAUSES ===============
% 0.80/1.07
% 0.80/1.07 ============================== PREDICATE ELIMINATION =================
% 0.80/1.07 64 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | l1_group_1(g1_group_1(B,A)) # label(dt_g1_group_1) # label(axiom). [clausify(12)].
% 0.80/1.07 65 -l1_group_1(A) | -v1_group_1(A) | g1_group_1(u1_struct_0(A),u1_group_1(A)) = A # label(abstractness_v1_group_1) # label(axiom). [clausify(1)].
% 0.80/1.07 66 -l1_group_1(A) | v3_struct_0(A) | -v3_group_1(A) | v2_group_1(A) # label(cc1_group_1) # label(axiom). [clausify(6)].
% 0.80/1.07 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) | -v1_group_1(g1_group_1(B,A)) | g1_group_1(u1_struct_0(g1_group_1(B,A)),u1_group_1(g1_group_1(B,A))) = g1_group_1(B,A). [resolve(64,d,65,a)].
% 0.80/1.07 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) | v3_struct_0(g1_group_1(B,A)) | -v3_group_1(g1_group_1(B,A)) | v2_group_1(g1_group_1(B,A)). [resolve(64,d,66,a)].
% 0.80/1.07 67 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_fraenkel(k1_autgroup(A),u1_struct_0(A),u1_struct_0(A)) # label(dt_k1_autgroup) # label(axiom). [clausify(13)].
% 0.80/1.07 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | m1_fraenkel(k1_autgroup(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(67,e,64,d)].
% 0.80/1.07 68 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)) # label(dt_k4_autgroup) # label(axiom). [clausify(17)].
% 0.80/1.07 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | m1_fraenkel(k4_autgroup(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(68,e,64,d)].
% 0.80/1.07 69 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(18)].
% 0.80/1.07 Derived: l1_struct_0(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(69,a,64,d)].
% 0.80/1.07 70 -l1_group_1(A) | v1_funct_1(u1_group_1(A)) # label(dt_u1_group_1) # label(axiom). [clausify(25)].
% 0.80/1.07 Derived: v1_funct_1(u1_group_1(g1_group_1(A,B))) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(70,a,64,d)].
% 0.80/1.07 71 -l1_group_1(A) | v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u1_group_1) # label(axiom). [clausify(25)].
% 0.80/1.07 Derived: v1_funct_2(u1_group_1(g1_group_1(A,B)),k2_zfmisc_1(u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))),u1_struct_0(g1_group_1(A,B))) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(71,a,64,d)].
% 0.80/1.07 72 -l1_group_1(A) | m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u1_group_1) # label(axiom). [clausify(25)].
% 0.80/1.07 Derived: m2_relset_1(u1_group_1(g1_group_1(A,B)),k2_zfmisc_1(u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))),u1_struct_0(g1_group_1(A,B))) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(72,a,64,d)].
% 0.80/1.07 73 l1_group_1(c1) # label(existence_l1_group_1) # label(axiom). [clausify(27)].
% 0.80/1.07 Derived: -v1_group_1(c1) | g1_group_1(u1_struct_0(c1),u1_group_1(c1)) = c1. [resolve(73,a,65,a)].
% 0.80/1.07 Derived: v3_struct_0(c1) | -v3_group_1(c1) | v2_group_1(c1). [resolve(73,a,66,a)].
% 0.80/1.07 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | m1_fraenkel(k1_autgroup(c1),u1_struct_0(c1),u1_struct_0(c1)). [resolve(73,a,67,e)].
% 0.80/1.07 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | m1_fraenkel(k4_autgroup(c1),u1_struct_0(c1),u1_struct_0(c1)). [resolve(73,a,68,e)].
% 0.80/1.07 Derived: l1_struct_0(c1). [resolve(73,a,69,a)].
% 0.80/1.07 Derived: v1_funct_1(u1_group_1(c1)). [resolve(73,a,70,a)].
% 0.80/1.07 Derived: v1_funct_2(u1_group_1(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(73,a,71,a)].
% 0.80/1.07 Derived: m2_relset_1(u1_group_1(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(73,a,72,a)].
% 0.80/1.07 74 l1_group_1(c5) # label(rc1_group_1) # label(axiom). [clausify(40)].
% 0.80/1.07 Derived: -v1_group_1(c5) | g1_group_1(u1_struct_0(c5),u1_group_1(c5)) = c5. [resolve(74,a,65,a)].
% 0.80/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | v2_group_1(c5). [resolve(74,a,66,a)].
% 0.80/1.07 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | m1_fraenkel(k1_autgroup(c5),u1_struct_0(c5),u1_struct_0(c5)). [resolve(74,a,67,e)].
% 0.80/1.07 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | m1_fraenkel(k4_autgroup(c5),u1_struct_0(c5),u1_struct_0(c5)). [resolve(74,a,68,e)].
% 0.80/1.07 Derived: l1_struct_0(c5). [resolve(74,a,69,a)].
% 0.80/1.07 Derived: v1_funct_1(u1_group_1(c5)). [resolve(74,a,70,a)].
% 0.80/1.07 Derived: v1_funct_2(u1_group_1(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(74,a,71,a)].
% 0.80/1.07 Derived: m2_relset_1(u1_group_1(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(74,a,72,a)].
% 0.80/1.07 75 l1_group_1(c9) # label(rc2_group_1) # label(axiom). [clausify(44)].
% 0.80/1.07 Derived: -v1_group_1(c9) | g1_group_1(u1_struct_0(c9),u1_group_1(c9)) = c9. [resolve(75,a,65,a)].
% 0.80/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | v2_group_1(c9). [resolve(75,a,66,a)].
% 0.80/1.07 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | m1_fraenkel(k1_autgroup(c9),u1_struct_0(c9),u1_struct_0(c9)). [resolve(75,a,67,e)].
% 0.80/1.07 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | m1_fraenkel(k4_autgroup(c9),u1_struct_0(c9),u1_struct_0(c9)). [resolve(75,a,68,e)].
% 0.80/1.07 Derived: l1_struct_0(c9). [resolve(75,a,69,a)].
% 0.80/1.07 Derived: v1_funct_1(u1_group_1(c9)). [resolve(75,a,70,a)].
% 0.80/1.07 Derived: v1_funct_2(u1_group_1(c9),k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9)). [resolve(75,a,71,a)].
% 0.80/1.07 Derived: m2_relset_1(u1_group_1(c9),k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9)). [resolve(75,a,72,a)].
% 0.80/1.07 76 l1_group_1(c12) # label(rc3_group_1) # label(axiom). [clausify(48)].
% 0.80/1.07 Derived: -v1_group_1(c12) | g1_group_1(u1_struct_0(c12),u1_group_1(c12)) = c12. [resolve(76,a,65,a)].
% 0.80/1.07 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | m1_fraenkel(k1_autgroup(c12),u1_struct_0(c12),u1_struct_0(c12)). [resolve(76,a,67,e)].
% 0.80/1.07 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | m1_fraenkel(k4_autgroup(c12),u1_struct_0(c12),u1_struct_0(c12)). [resolve(76,a,68,e)].
% 0.80/1.07 Derived: l1_struct_0(c12). [resolve(76,a,69,a)].
% 0.80/1.07 Derived: v1_funct_1(u1_group_1(c12)). [resolve(76,a,70,a)].
% 0.80/1.07 Derived: v1_funct_2(u1_group_1(c12),k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12)). [resolve(76,a,71,a)].
% 0.80/1.07 Derived: m2_relset_1(u1_group_1(c12),k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12)). [resolve(76,a,72,a)].
% 0.80/1.07 77 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) | m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) # label(t13_autgroup) # label(axiom). [clausify(54)].
% 0.80/1.07 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))) | m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k1_autgroup(g1_group_1(A,B))) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(77,e,64,d)].
% 0.80/1.07 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k1_autgroup(c1)). [resolve(77,e,73,a)].
% 0.80/1.07 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k1_autgroup(c5)). [resolve(77,e,74,a)].
% 0.80/1.07 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k1_autgroup(c9)). [resolve(77,e,75,a)].
% 0.80/1.07 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k1_autgroup(c12)). [resolve(77,e,76,a)].
% 0.80/1.07 78 l1_group_1(c14) # label(t14_autgroup) # label(negated_conjecture). [clausify(63)].
% 0.80/1.07 Derived: -v1_group_1(c14) | g1_group_1(u1_struct_0(c14),u1_group_1(c14)) = c14. [resolve(78,a,65,a)].
% 0.80/1.07 Derived: v3_struct_0(c14) | -v3_group_1(c14) | v2_group_1(c14). [resolve(78,a,66,a)].
% 0.80/1.07 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | m1_fraenkel(k1_autgroup(c14),u1_struct_0(c14),u1_struct_0(c14)). [resolve(78,a,67,e)].
% 0.80/1.07 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | m1_fraenkel(k4_autgroup(c14),u1_struct_0(c14),u1_struct_0(c14)). [resolve(78,a,68,e)].
% 0.80/1.07 Derived: l1_struct_0(c14). [resolve(78,a,69,a)].
% 0.80/1.07 Derived: v1_funct_1(u1_group_1(c14)). [resolve(78,a,70,a)].
% 0.80/1.07 Derived: v1_funct_2(u1_group_1(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(78,a,71,a)].
% 0.80/1.07 Derived: m2_relset_1(u1_group_1(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(78,a,72,a)].
% 0.80/1.07 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)). [resolve(78,a,77,e)].
% 0.80/1.07 79 -m1_fraenkel(A,B,C) | v1_fraenkel(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(20)].
% 0.80/1.07 80 -v1_fraenkel(A) | -m1_subset_1(B,A) | v1_relat_1(B) # label(cc1_fraenkel) # label(axiom). [clausify(3)].
% 0.80/1.07 81 -v1_fraenkel(A) | -m1_subset_1(B,A) | v1_funct_1(B) # label(cc1_fraenkel) # label(axiom). [clausify(3)].
% 0.80/1.07 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_relat_1(D). [resolve(79,b,80,a)].
% 0.80/1.07 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_funct_1(D). [resolve(79,b,81,a)].
% 0.80/1.07 82 v1_fraenkel(c3) # label(rc1_fraenkel) # label(axiom). [clausify(37)].
% 0.80/1.07 Derived: -m1_subset_1(A,c3) | v1_relat_1(A). [resolve(82,a,80,a)].
% 0.80/1.07 Derived: -m1_subset_1(A,c3) | v1_funct_1(A). [resolve(82,a,81,a)].
% 0.80/1.07 83 v1_xboole_0(A) | -m1_relset_1(B,C,A) | -v1_funct_1(B) | -v1_funct_2(B,C,A) | v1_partfun1(B,C,A) # label(cc5_funct_2) # label(axiom). [clausify(9)].
% 0.80/1.07 84 -m1_relset_1(A,B,C) | -v1_funct_1(A) | -v1_partfun1(A,B,C) | v1_funct_2(A,B,C) # label(cc1_funct_2) # label(axiom). [clausify(5)].
% 0.80/1.07 85 v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(C,A,B) | -v1_funct_1(C) | -v1_funct_2(C,A,B) | v1_partfun1(C,A,B) # label(cc6_funct_2) # label(axiom). [clausify(10)].
% 0.80/1.07 86 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(8)].
% 0.80/1.07 87 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(7)].
% 0.80/1.07 Derived: -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(86,a,87,b)].
% 0.80/1.07 88 v1_relat_1(c4) # label(rc1_funct_1) # label(axiom). [clausify(38)].
% 0.80/1.07 Derived: -v1_xboole_0(c4) | -v1_funct_1(c4) | v2_funct_1(c4). [resolve(88,a,86,a)].
% 0.80/1.07 89 v1_relat_1(f7(A,B)) # label(rc1_funct_2) # label(axiom). [clausify(39)].
% 0.80/1.07 Derived: -v1_xboole_0(f7(A,B)) | -v1_funct_1(f7(A,B)) | v2_funct_1(f7(A,B)). [resolve(89,a,86,a)].
% 0.80/1.07 90 v1_relat_1(c6) # label(rc1_partfun1) # label(axiom). [clausify(41)].
% 0.80/1.07 91 v1_relat_1(c8) # label(rc2_funct_1) # label(axiom). [clausify(43)].
% 0.80/1.07 Derived: -v1_xboole_0(c8) | -v1_funct_1(c8) | v2_funct_1(c8). [resolve(91,a,86,a)].
% 0.80/1.07 92 v1_relat_1(f8(A,B)) # label(rc2_partfun1) # label(axiom). [clausify(45)].
% 0.80/1.07 Derived: -v1_xboole_0(f8(A,B)) | -v1_funct_1(f8(A,B)) | v2_funct_1(f8(A,B)). [resolve(92,a,86,a)].
% 0.80/1.07 93 v1_relat_1(c11) # label(rc3_funct_1) # label(axiom). [clausify(47)].
% 0.80/1.07 94 -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_relat_1(D). [resolve(79,b,80,a)].
% 0.80/1.07 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | -v1_xboole_0(D) | -v1_funct_1(D) | v2_funct_1(D). [resolve(94,c,86,a)].
% 0.80/1.08 95 -m1_subset_1(A,c3) | v1_relat_1(A). [resolve(82,a,80,a)].
% 0.80/1.08 Derived: -m1_subset_1(A,c3) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A). [resolve(95,b,86,a)].
% 0.80/1.08 96 m1_fraenkel(f2(A,B),A,B) # label(existence_m1_fraenkel) # label(axiom). [clausify(29)].
% 0.80/1.08 97 -m1_fraenkel(A,B,C) | -v1_xboole_0(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(20)].
% 0.80/1.08 98 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | v1_funct_1(D) # label(dt_m2_fraenkel) # label(axiom). [clausify(23)].
% 0.80/1.08 99 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | v1_funct_2(D,C,A) # label(dt_m2_fraenkel) # label(axiom). [clausify(23)].
% 0.80/1.08 100 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | m2_relset_1(D,C,A) # label(dt_m2_fraenkel) # label(axiom). [clausify(23)].
% 0.80/1.08 Derived: -v1_xboole_0(f2(A,B)). [resolve(96,a,97,a)].
% 0.80/1.08 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f2(C,A)) | v1_funct_1(B). [resolve(96,a,98,b)].
% 0.80/1.08 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f2(C,A)) | v1_funct_2(B,C,A). [resolve(96,a,99,b)].
% 0.80/1.08 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f2(C,A)) | m2_relset_1(B,C,A). [resolve(96,a,100,b)].
% 0.80/1.08 101 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | m2_fraenkel(f5(C,A,B),C,A,B) # label(existence_m2_fraenkel) # label(axiom). [clausify(32)].
% 0.80/1.08 Derived: v1_xboole_0(A) | m2_fraenkel(f5(B,A,f2(B,A)),B,A,f2(B,A)). [resolve(101,b,96,a)].
% 0.80/1.08 102 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | m1_subset_1(D,B) # label(redefinition_m2_fraenkel) # label(axiom). [clausify(51)].
% 0.80/1.08 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f2(C,A)) | m1_subset_1(B,f2(C,A)). [resolve(102,b,96,a)].
% 0.80/1.08 103 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | m2_fraenkel(D,C,A,B) | -m1_subset_1(D,B) # label(redefinition_m2_fraenkel) # label(axiom). [clausify(51)].
% 0.80/1.08 Derived: v1_xboole_0(A) | m2_fraenkel(B,C,A,f2(C,A)) | -m1_subset_1(B,f2(C,A)). [resolve(103,b,96,a)].
% 0.80/1.08 104 v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | m1_fraenkel(k1_autgroup(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(67,e,64,d)].
% 0.80/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -v1_xboole_0(k1_autgroup(g1_group_1(A,B))). [resolve(104,e,97,a)].
% 0.80/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k1_autgroup(g1_group_1(A,B))) | v1_funct_1(C). [resolve(104,e,98,b)].
% 0.80/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k1_autgroup(g1_group_1(A,B))) | v1_funct_2(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))). [resolve(104,e,99,b)].
% 0.80/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k1_autgroup(g1_group_1(A,B))) | m2_relset_1(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))). [resolve(104,e,100,b)].
% 0.80/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | m2_fraenkel(f5(u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k1_autgroup(g1_group_1(A,B))),u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k1_autgroup(g1_group_1(A,B))). [resolve(104,e,101,b)].
% 0.82/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k1_autgroup(g1_group_1(A,B))) | m1_subset_1(C,k1_autgroup(g1_group_1(A,B))). [resolve(104,e,102,b)].
% 0.82/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k1_autgroup(g1_group_1(A,B))) | -m1_subset_1(C,k1_autgroup(g1_group_1(A,B))). [resolve(104,e,103,b)].
% 0.82/1.08 105 v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | m1_fraenkel(k4_autgroup(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(68,e,64,d)].
% 0.82/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -v1_xboole_0(k4_autgroup(g1_group_1(A,B))). [resolve(105,e,97,a)].
% 0.82/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))) | v1_funct_1(C). [resolve(105,e,98,b)].
% 0.82/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))) | v1_funct_2(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))). [resolve(105,e,99,b)].
% 0.82/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))) | m2_relset_1(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))). [resolve(105,e,100,b)].
% 0.82/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | m2_fraenkel(f5(u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))),u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))). [resolve(105,e,101,b)].
% 0.82/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))) | m1_subset_1(C,k4_autgroup(g1_group_1(A,B))). [resolve(105,e,102,b)].
% 0.82/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))) | -m1_subset_1(C,k4_autgroup(g1_group_1(A,B))). [resolve(105,e,103,b)].
% 0.82/1.08 106 v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | m1_fraenkel(k1_autgroup(c1),u1_struct_0(c1),u1_struct_0(c1)). [resolve(73,a,67,e)].
% 0.82/1.08 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -v1_xboole_0(k1_autgroup(c1)). [resolve(106,e,97,a)].
% 0.82/1.08 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k1_autgroup(c1)) | v1_funct_1(A). [resolve(106,e,98,b)].
% 0.82/1.08 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k1_autgroup(c1)) | v1_funct_2(A,u1_struct_0(c1),u1_struct_0(c1)). [resolve(106,e,99,b)].
% 0.82/1.08 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k1_autgroup(c1)) | m2_relset_1(A,u1_struct_0(c1),u1_struct_0(c1)). [resolve(106,e,100,b)].
% 0.82/1.08 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | m2_fraenkel(f5(u1_struct_0(c1),u1_struct_0(c1),k1_autgroup(c1)),u1_struct_0(c1),u1_struct_0(c1),k1_autgroup(c1)). [resolve(106,e,101,b)].
% 0.82/1.08 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k1_autgroup(c1)) | m1_subset_1(A,k1_autgroup(c1)). [resolve(106,e,102,b)].
% 0.82/1.08 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k1_autgroup(c1)) | -m1_subset_1(A,k1_autgroup(c1)). [resolve(106,e,103,b)].
% 0.82/1.08 107 v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | m1_fraenkel(k4_autgroup(c1),u1_struct_0(c1),u1_struct_0(c1)). [resolve(73,a,68,e)].
% 0.82/1.08 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -v1_xboole_0(k4_autgroup(c1)). [resolve(107,e,97,a)].
% 0.82/1.08 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | v1_funct_1(A). [resolve(107,e,98,b)].
% 0.82/1.08 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | v1_funct_2(A,u1_struct_0(c1),u1_struct_0(c1)). [resolve(107,e,99,b)].
% 0.82/1.08 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | m2_relset_1(A,u1_struct_0(c1),u1_struct_0(c1)). [resolve(107,e,100,b)].
% 0.82/1.08 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | m2_fraenkel(f5(u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)),u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)). [resolve(107,e,101,b)].
% 0.82/1.08 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | m1_subset_1(A,k4_autgroup(c1)). [resolve(107,e,102,b)].
% 0.82/1.08 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | -m1_subset_1(A,k4_autgroup(c1)). [resolve(107,e,103,b)].
% 0.82/1.08 108 v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | m1_fraenkel(k1_autgroup(c5),u1_struct_0(c5),u1_struct_0(c5)). [resolve(74,a,67,e)].
% 0.82/1.08 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -v1_xboole_0(k1_autgroup(c5)). [resolve(108,e,97,a)].
% 0.82/1.08 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k1_autgroup(c5)) | v1_funct_1(A). [resolve(108,e,98,b)].
% 0.82/1.08 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k1_autgroup(c5)) | v1_funct_2(A,u1_struct_0(c5),u1_struct_0(c5)). [resolve(108,e,99,b)].
% 0.82/1.08 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k1_autgroup(c5)) | m2_relset_1(A,u1_struct_0(c5),u1_struct_0(c5)). [resolve(108,e,100,b)].
% 0.82/1.08 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | m2_fraenkel(f5(u1_struct_0(c5),u1_struct_0(c5),k1_autgroup(c5)),u1_struct_0(c5),u1_struct_0(c5),k1_autgroup(c5)). [resolve(108,e,101,b)].
% 0.82/1.08 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k1_autgroup(c5)) | m1_subset_1(A,k1_autgroup(c5)). [resolve(108,e,102,b)].
% 0.82/1.08 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k1_autgroup(c5)) | -m1_subset_1(A,k1_autgroup(c5)). [resolve(108,e,103,b)].
% 0.82/1.08 109 v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | m1_fraenkel(k4_autgroup(c5),u1_struct_0(c5),u1_struct_0(c5)). [resolve(74,a,68,e)].
% 0.82/1.08 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -v1_xboole_0(k4_autgroup(c5)). [resolve(109,e,97,a)].
% 0.82/1.08 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | v1_funct_1(A). [resolve(109,e,98,b)].
% 0.82/1.08 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | v1_funct_2(A,u1_struct_0(c5),u1_struct_0(c5)). [resolve(109,e,99,b)].
% 0.82/1.08 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | m2_relset_1(A,u1_struct_0(c5),u1_struct_0(c5)). [resolve(109,e,100,b)].
% 0.82/1.08 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | m2_fraenkel(f5(u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)),u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)). [resolve(109,e,101,b)].
% 0.82/1.08 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | m1_subset_1(A,k4_autgroup(c5)). [resolve(109,e,102,b)].
% 0.82/1.08 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | -m1_subset_1(A,k4_autgroup(c5)). [resolve(109,e,103,b)].
% 0.82/1.08 110 v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | m1_fraenkel(k1_autgroup(c9),u1_struct_0(c9),u1_struct_0(c9)). [resolve(75,a,67,e)].
% 0.82/1.08 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -v1_xboole_0(k1_autgroup(c9)). [resolve(110,e,97,a)].
% 0.82/1.08 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k1_autgroup(c9)) | v1_funct_1(A). [resolve(110,e,98,b)].
% 0.82/1.08 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k1_autgroup(c9)) | v1_funct_2(A,u1_struct_0(c9),u1_struct_0(c9)). [resolve(110,e,99,b)].
% 0.82/1.08 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k1_autgroup(c9)) | m2_relset_1(A,u1_struct_0(c9),u1_struct_0(c9)). [resolve(110,e,100,b)].
% 0.82/1.08 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | m2_fraenkel(f5(u1_struct_0(c9),u1_struct_0(c9),k1_autgroup(c9)),u1_struct_0(c9),u1_struct_0(c9),k1_autgroup(c9)). [resolve(110,e,101,b)].
% 0.82/1.08 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k1_autgroup(c9)) | m1_subset_1(A,k1_autgroup(c9)). [resolve(110,e,102,b)].
% 0.82/1.08 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k1_autgroup(c9)) | -m1_subset_1(A,k1_autgroup(c9)). [resolve(110,e,103,b)].
% 0.82/1.08 111 v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | m1_fraenkel(k4_autgroup(c9),u1_struct_0(c9),u1_struct_0(c9)). [resolve(75,a,68,e)].
% 0.82/1.08 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -v1_xboole_0(k4_autgroup(c9)). [resolve(111,e,97,a)].
% 0.82/1.08 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | v1_funct_1(A). [resolve(111,e,98,b)].
% 0.82/1.08 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | v1_funct_2(A,u1_struct_0(c9),u1_struct_0(c9)). [resolve(111,e,99,b)].
% 0.82/1.08 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | m2_relset_1(A,u1_struct_0(c9),u1_struct_0(c9)). [resolve(111,e,100,b)].
% 0.82/1.08 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | m2_fraenkel(f5(u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)),u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)). [resolve(111,e,101,b)].
% 0.82/1.08 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | m1_subset_1(A,k4_autgroup(c9)). [resolve(111,e,102,b)].
% 0.82/1.08 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | -m1_subset_1(A,k4_autgroup(c9)). [resolve(111,e,103,b)].
% 0.82/1.08 112 v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | m1_fraenkel(k1_autgroup(c12),u1_struct_0(c12),u1_struct_0(c12)). [resolve(76,a,67,e)].
% 0.82/1.08 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -v1_xboole_0(k1_autgroup(c12)). [resolve(112,e,97,a)].
% 0.82/1.08 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k1_autgroup(c12)) | v1_funct_1(A). [resolve(112,e,98,b)].
% 0.82/1.08 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k1_autgroup(c12)) | v1_funct_2(A,u1_struct_0(c12),u1_struct_0(c12)). [resolve(112,e,99,b)].
% 0.82/1.08 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k1_autgroup(c12)) | m2_relset_1(A,u1_struct_0(c12),u1_struct_0(c12)). [resolve(112,e,100,b)].
% 0.82/1.08 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | m2_fraenkel(f5(u1_struct_0(c12),u1_struct_0(c12),k1_autgroup(c12)),u1_struct_0(c12),u1_struct_0(c12),k1_autgroup(c12)). [resolve(112,e,101,b)].
% 0.82/1.08 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k1_autgroup(c12)) | m1_subset_1(A,k1_autgroup(c12)). [resolve(112,e,102,b)].
% 0.82/1.08 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k1_autgroup(c12)) | -m1_subset_1(A,k1_autgroup(c12)). [resolve(112,e,103,b)].
% 0.82/1.08 113 v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | m1_fraenkel(k4_autgroup(c12),u1_struct_0(c12),u1_struct_0(c12)). [resolve(76,a,68,e)].
% 0.82/1.08 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -v1_xboole_0(k4_autgroup(c12)). [resolve(113,e,97,a)].
% 0.82/1.08 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | v1_funct_1(A). [resolve(113,e,98,b)].
% 0.82/1.08 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | v1_funct_2(A,u1_struct_0(c12),u1_struct_0(c12)). [resolve(113,e,99,b)].
% 0.82/1.08 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | m2_relset_1(A,u1_struct_0(c12),u1_struct_0(c12)). [resolve(113,e,100,b)].
% 0.82/1.08 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | m2_fraenkel(f5(u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)),u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)). [resolve(113,e,101,b)].
% 0.82/1.08 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | m1_subset_1(A,k4_autgroup(c12)). [resolve(113,e,102,b)].
% 0.82/1.08 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | -m1_subset_1(A,k4_autgroup(c12)). [resolve(113,e,103,b)].
% 0.82/1.08 114 v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | m1_fraenkel(k1_autgroup(c14),u1_struct_0(c14),u1_struct_0(c14)). [resolve(78,a,67,e)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -v1_xboole_0(k1_autgroup(c14)). [resolve(114,e,97,a)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | v1_funct_1(A). [resolve(114,e,98,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | v1_funct_2(A,u1_struct_0(c14),u1_struct_0(c14)). [resolve(114,e,99,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | m2_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)). [resolve(114,e,100,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | m2_fraenkel(f5(u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)),u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)). [resolve(114,e,101,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | m1_subset_1(A,k1_autgroup(c14)). [resolve(114,e,102,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | -m1_subset_1(A,k1_autgroup(c14)). [resolve(114,e,103,b)].
% 0.82/1.08 115 v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | m1_fraenkel(k4_autgroup(c14),u1_struct_0(c14),u1_struct_0(c14)). [resolve(78,a,68,e)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -v1_xboole_0(k4_autgroup(c14)). [resolve(115,e,97,a)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | v1_funct_1(A). [resolve(115,e,98,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | v1_funct_2(A,u1_struct_0(c14),u1_struct_0(c14)). [resolve(115,e,99,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | m2_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)). [resolve(115,e,100,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | m2_fraenkel(f5(u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)),u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)). [resolve(115,e,101,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | m1_subset_1(A,k4_autgroup(c14)). [resolve(115,e,102,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | -m1_subset_1(A,k4_autgroup(c14)). [resolve(115,e,103,b)].
% 0.82/1.08 116 -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_funct_1(D). [resolve(79,b,81,a)].
% 0.82/1.08 Derived: -m1_subset_1(A,f2(B,C)) | v1_funct_1(A). [resolve(116,a,96,a)].
% 0.82/1.08 Derived: -m1_subset_1(A,k1_autgroup(g1_group_1(B,C))) | v1_funct_1(A) | v3_struct_0(g1_group_1(B,C)) | -v1_group_1(g1_group_1(B,C)) | -v3_group_1(g1_group_1(B,C)) | -v4_group_1(g1_group_1(B,C)) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B). [resolve(116,a,104,e)].
% 0.82/1.08 Derived: -m1_subset_1(A,k4_autgroup(g1_group_1(B,C))) | v1_funct_1(A) | v3_struct_0(g1_group_1(B,C)) | -v1_group_1(g1_group_1(B,C)) | -v3_group_1(g1_group_1(B,C)) | -v4_group_1(g1_group_1(B,C)) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B). [resolve(116,a,105,e)].
% 0.82/1.08 Derived: -m1_subset_1(A,k1_autgroup(c1)) | v1_funct_1(A) | v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1). [resolve(116,a,106,e)].
% 0.82/1.08 Derived: -m1_subset_1(A,k4_autgroup(c1)) | v1_funct_1(A) | v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1). [resolve(116,a,107,e)].
% 0.82/1.08 Derived: -m1_subset_1(A,k1_autgroup(c5)) | v1_funct_1(A) | v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5). [resolve(116,a,108,e)].
% 0.82/1.08 Derived: -m1_subset_1(A,k4_autgroup(c5)) | v1_funct_1(A) | v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5). [resolve(116,a,109,e)].
% 0.82/1.08 Derived: -m1_subset_1(A,k1_autgroup(c9)) | v1_funct_1(A) | v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9). [resolve(116,a,110,e)].
% 0.82/1.08 Derived: -m1_subset_1(A,k4_autgroup(c9)) | v1_funct_1(A) | v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9). [resolve(116,a,111,e)].
% 0.82/1.08 Derived: -m1_subset_1(A,k1_autgroup(c12)) | v1_funct_1(A) | v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12). [resolve(116,a,112,e)].
% 0.82/1.08 Derived: -m1_subset_1(A,k4_autgroup(c12)) | v1_funct_1(A) | v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12). [resolve(116,a,113,e)].
% 0.82/1.08 Derived: -m1_subset_1(A,k1_autgroup(c14)) | v1_funct_1(A) | v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14). [resolve(116,a,114,e)].
% 0.82/1.08 Derived: -m1_subset_1(A,k4_autgroup(c14)) | v1_funct_1(A) | v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14). [resolve(116,a,115,e)].
% 0.82/1.08 117 -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | -v1_xboole_0(D) | -v1_funct_1(D) | v2_funct_1(D). [resolve(94,c,86,a)].
% 0.82/1.09 Derived: -m1_subset_1(A,f2(B,C)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A). [resolve(117,a,96,a)].
% 0.82/1.09 Derived: -m1_subset_1(A,k1_autgroup(g1_group_1(B,C))) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(g1_group_1(B,C)) | -v1_group_1(g1_group_1(B,C)) | -v3_group_1(g1_group_1(B,C)) | -v4_group_1(g1_group_1(B,C)) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B). [resolve(117,a,104,e)].
% 0.82/1.09 Derived: -m1_subset_1(A,k4_autgroup(g1_group_1(B,C))) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(g1_group_1(B,C)) | -v1_group_1(g1_group_1(B,C)) | -v3_group_1(g1_group_1(B,C)) | -v4_group_1(g1_group_1(B,C)) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B). [resolve(117,a,105,e)].
% 0.82/1.09 Derived: -m1_subset_1(A,k1_autgroup(c1)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1). [resolve(117,a,106,e)].
% 0.82/1.09 Derived: -m1_subset_1(A,k4_autgroup(c1)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1). [resolve(117,a,107,e)].
% 0.82/1.09 Derived: -m1_subset_1(A,k1_autgroup(c5)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5). [resolve(117,a,108,e)].
% 0.82/1.09 Derived: -m1_subset_1(A,k4_autgroup(c5)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5). [resolve(117,a,109,e)].
% 0.82/1.09 Derived: -m1_subset_1(A,k1_autgroup(c9)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9). [resolve(117,a,110,e)].
% 0.82/1.09 Derived: -m1_subset_1(A,k4_autgroup(c9)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9). [resolve(117,a,111,e)].
% 0.82/1.09 Derived: -m1_subset_1(A,k1_autgroup(c12)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12). [resolve(117,a,112,e)].
% 0.82/1.09 Derived: -m1_subset_1(A,k4_autgroup(c12)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12). [resolve(117,a,113,e)].
% 0.82/1.09 Derived: -m1_subset_1(A,k1_autgroup(c14)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14). [resolve(117,a,114,e)].
% 0.82/1.09 Derived: -m1_subset_1(A,k4_autgroup(c14)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14). [resolve(117,a,115,e)].
% 0.82/1.09 118 m2_relset_1(f6(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(33)].
% 0.82/1.09 119 -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(24)].
% 0.82/1.09 Derived: m1_subset_1(f6(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(118,a,119,a)].
% 0.82/1.09 120 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(52)].
% 0.82/1.09 Derived: m1_relset_1(f6(A,B),A,B). [resolve(120,a,118,a)].
% 0.82/1.09 121 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(52)].
% 0.82/1.09 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(121,a,119,a)].
% 0.82/1.09 122 m2_relset_1(u1_group_1(g1_group_1(A,B)),k2_zfmisc_1(u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))),u1_struct_0(g1_group_1(A,B))) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(72,a,64,d)].
% 0.82/1.09 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(u1_group_1(g1_group_1(B,A)),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))),u1_struct_0(g1_group_1(B,A))))). [resolve(122,a,119,a)].
% 0.82/1.09 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_relset_1(u1_group_1(g1_group_1(B,A)),k2_zfmisc_1(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))),u1_struct_0(g1_group_1(B,A))). [resolve(122,a,120,a)].
% 0.82/1.09 123 m2_relset_1(u1_group_1(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(73,a,72,a)].
% 0.82/1.09 Derived: m1_subset_1(u1_group_1(c1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)))). [resolve(123,a,119,a)].
% 0.82/1.09 Derived: m1_relset_1(u1_group_1(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(123,a,120,a)].
% 0.82/1.09 124 m2_relset_1(u1_group_1(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(74,a,72,a)].
% 0.82/1.09 Derived: m1_subset_1(u1_group_1(c5),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)))). [resolve(124,a,119,a)].
% 0.82/1.09 Derived: m1_relset_1(u1_group_1(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(124,a,120,a)].
% 0.82/1.09 125 m2_relset_1(u1_group_1(c9),k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9)). [resolve(75,a,72,a)].
% 0.82/1.10 Derived: m1_subset_1(u1_group_1(c9),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9)))). [resolve(125,a,119,a)].
% 0.82/1.10 Derived: m1_relset_1(u1_group_1(c9),k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9)). [resolve(125,a,120,a)].
% 0.82/1.10 126 m2_relset_1(u1_group_1(c12),k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12)). [resolve(76,a,72,a)].
% 0.82/1.10 Derived: m1_subset_1(u1_group_1(c12),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12)))). [resolve(126,a,119,a)].
% 0.82/1.10 Derived: m1_relset_1(u1_group_1(c12),k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12)). [resolve(126,a,120,a)].
% 0.82/1.10 127 m2_relset_1(u1_group_1(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(78,a,72,a)].
% 0.82/1.10 Derived: m1_subset_1(u1_group_1(c14),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)))). [resolve(127,a,119,a)].
% 0.82/1.10 Derived: m1_relset_1(u1_group_1(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(127,a,120,a)].
% 0.82/1.10 128 v1_xboole_0(A) | -m2_fraenkel(B,C,A,f2(C,A)) | m2_relset_1(B,C,A). [resolve(96,a,100,b)].
% 0.82/1.10 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f2(C,A)) | m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(C,A))). [resolve(128,c,119,a)].
% 0.82/1.10 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f2(C,A)) | m1_relset_1(B,C,A). [resolve(128,c,120,a)].
% 0.82/1.10 129 v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k1_autgroup(g1_group_1(A,B))) | m2_relset_1(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))). [resolve(104,e,100,b)].
% 0.82/1.10 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k1_autgroup(g1_group_1(A,B))) | m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))))). [resolve(129,j,119,a)].
% 0.82/1.10 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k1_autgroup(g1_group_1(A,B))) | m1_relset_1(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))). [resolve(129,j,120,a)].
% 0.82/1.10 130 v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))) | m2_relset_1(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))). [resolve(105,e,100,b)].
% 0.82/1.10 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))) | m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))))). [resolve(130,j,119,a)].
% 0.82/1.10 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))) | m1_relset_1(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))). [resolve(130,j,120,a)].
% 0.82/1.10 131 v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k1_autgroup(c1)) | m2_relset_1(A,u1_struct_0(c1),u1_struct_0(c1)). [resolve(106,e,100,b)].
% 0.82/1.10 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k1_autgroup(c1)) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)))). [resolve(131,g,119,a)].
% 0.82/1.10 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k1_autgroup(c1)) | m1_relset_1(A,u1_struct_0(c1),u1_struct_0(c1)). [resolve(131,g,120,a)].
% 0.82/1.10 132 v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | m2_relset_1(A,u1_struct_0(c1),u1_struct_0(c1)). [resolve(107,e,100,b)].
% 0.82/1.10 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)))). [resolve(132,g,119,a)].
% 0.82/1.10 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | m1_relset_1(A,u1_struct_0(c1),u1_struct_0(c1)). [resolve(132,g,120,a)].
% 0.82/1.10 133 v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k1_autgroup(c5)) | m2_relset_1(A,u1_struct_0(c5),u1_struct_0(c5)). [resolve(108,e,100,b)].
% 0.82/1.10 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k1_autgroup(c5)) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)))). [resolve(133,g,119,a)].
% 0.82/1.10 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k1_autgroup(c5)) | m1_relset_1(A,u1_struct_0(c5),u1_struct_0(c5)). [resolve(133,g,120,a)].
% 0.82/1.10 134 v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | m2_relset_1(A,u1_struct_0(c5),u1_struct_0(c5)). [resolve(109,e,100,b)].
% 0.82/1.10 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)))). [resolve(134,g,119,a)].
% 0.82/1.10 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | m1_relset_1(A,u1_struct_0(c5),u1_struct_0(c5)). [resolve(134,g,120,a)].
% 0.82/1.10 135 v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k1_autgroup(c9)) | m2_relset_1(A,u1_struct_0(c9),u1_struct_0(c9)). [resolve(110,e,100,b)].
% 0.82/1.10 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k1_autgroup(c9)) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)))). [resolve(135,g,119,a)].
% 0.82/1.10 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k1_autgroup(c9)) | m1_relset_1(A,u1_struct_0(c9),u1_struct_0(c9)). [resolve(135,g,120,a)].
% 0.82/1.10 136 v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | m2_relset_1(A,u1_struct_0(c9),u1_struct_0(c9)). [resolve(111,e,100,b)].
% 0.82/1.10 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)))). [resolve(136,g,119,a)].
% 0.82/1.10 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | m1_relset_1(A,u1_struct_0(c9),u1_struct_0(c9)). [resolve(136,g,120,a)].
% 0.82/1.10 137 v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k1_autgroup(c12)) | m2_relset_1(A,u1_struct_0(c12),u1_struct_0(c12)). [resolve(112,e,100,b)].
% 0.82/1.10 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k1_autgroup(c12)) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)))). [resolve(137,g,119,a)].
% 0.82/1.10 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k1_autgroup(c12)) | m1_relset_1(A,u1_struct_0(c12),u1_struct_0(c12)). [resolve(137,g,120,a)].
% 0.82/1.10 138 v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | m2_relset_1(A,u1_struct_0(c12),u1_struct_0(c12)). [resolve(113,e,100,b)].
% 0.82/1.10 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)))). [resolve(138,g,119,a)].
% 0.82/1.10 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | m1_relset_1(A,u1_struct_0(c12),u1_struct_0(c12)). [resolve(138,g,120,a)].
% 0.82/1.10 139 v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | m2_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)). [resolve(114,e,100,b)].
% 0.82/1.10 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)))). [resolve(139,g,119,a)].
% 0.82/1.10 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | m1_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)). [resolve(139,g,120,a)].
% 0.82/1.11 140 v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | m2_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)). [resolve(115,e,100,b)].
% 0.82/1.11 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)))). [resolve(140,g,119,a)].
% 0.82/1.11 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | m1_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)). [resolve(140,g,120,a)].
% 0.82/1.11 141 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(35)].
% 0.82/1.11 142 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(28)].
% 0.82/1.11 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(141,b,142,a)].
% 0.82/1.11 143 l1_struct_0(c13) # label(rc3_struct_0) # label(axiom). [clausify(49)].
% 0.82/1.11 Derived: v3_struct_0(c13) | -v1_xboole_0(u1_struct_0(c13)). [resolve(143,a,141,b)].
% 0.82/1.11 144 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f9(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(50)].
% 0.82/1.11 Derived: v3_struct_0(c2) | m1_subset_1(f9(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(144,b,142,a)].
% 0.82/1.11 Derived: v3_struct_0(c13) | m1_subset_1(f9(c13),k1_zfmisc_1(u1_struct_0(c13))). [resolve(144,b,143,a)].
% 0.82/1.11 145 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f9(A)) # label(rc5_struct_0) # label(axiom). [clausify(50)].
% 0.82/1.11 Derived: v3_struct_0(c2) | -v1_xboole_0(f9(c2)). [resolve(145,b,142,a)].
% 0.82/1.11 Derived: v3_struct_0(c13) | -v1_xboole_0(f9(c13)). [resolve(145,b,143,a)].
% 0.82/1.11 146 l1_struct_0(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(69,a,64,d)].
% 0.82/1.11 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) | v3_struct_0(g1_group_1(B,A)) | -v1_xboole_0(u1_struct_0(g1_group_1(B,A))). [resolve(146,a,141,b)].
% 0.82/1.11 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) | v3_struct_0(g1_group_1(B,A)) | m1_subset_1(f9(g1_group_1(B,A)),k1_zfmisc_1(u1_struct_0(g1_group_1(B,A)))). [resolve(146,a,144,b)].
% 0.82/1.11 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) | v3_struct_0(g1_group_1(B,A)) | -v1_xboole_0(f9(g1_group_1(B,A))). [resolve(146,a,145,b)].
% 0.82/1.11 147 l1_struct_0(c1). [resolve(73,a,69,a)].
% 0.82/1.11 Derived: v3_struct_0(c1) | -v1_xboole_0(u1_struct_0(c1)). [resolve(147,a,141,b)].
% 0.82/1.11 Derived: v3_struct_0(c1) | m1_subset_1(f9(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(147,a,144,b)].
% 0.82/1.11 Derived: v3_struct_0(c1) | -v1_xboole_0(f9(c1)). [resolve(147,a,145,b)].
% 0.82/1.11 148 l1_struct_0(c5). [resolve(74,a,69,a)].
% 0.82/1.11 Derived: v3_struct_0(c5) | -v1_xboole_0(u1_struct_0(c5)). [resolve(148,a,141,b)].
% 0.82/1.11 Derived: v3_struct_0(c5) | m1_subset_1(f9(c5),k1_zfmisc_1(u1_struct_0(c5))). [resolve(148,a,144,b)].
% 0.82/1.11 Derived: v3_struct_0(c5) | -v1_xboole_0(f9(c5)). [resolve(148,a,145,b)].
% 0.82/1.11 149 l1_struct_0(c9). [resolve(75,a,69,a)].
% 0.82/1.11 Derived: v3_struct_0(c9) | -v1_xboole_0(u1_struct_0(c9)). [resolve(149,a,141,b)].
% 0.82/1.11 Derived: v3_struct_0(c9) | m1_subset_1(f9(c9),k1_zfmisc_1(u1_struct_0(c9))). [resolve(149,a,144,b)].
% 0.82/1.11 Derived: v3_struct_0(c9) | -v1_xboole_0(f9(c9)). [resolve(149,a,145,b)].
% 0.82/1.11 150 l1_struct_0(c12). [resolve(76,a,69,a)].
% 0.82/1.11 Derived: v3_struct_0(c12) | -v1_xboole_0(u1_struct_0(c12)). [resolve(150,a,141,b)].
% 0.82/1.11 Derived: v3_struct_0(c12) | m1_subset_1(f9(c12),k1_zfmisc_1(u1_struct_0(c12))). [resolve(150,a,144,b)].
% 0.82/1.11 Derived: v3_struct_0(c12) | -v1_xboole_0(f9(c12)). [resolve(150,a,145,b)].
% 0.82/1.11 151 l1_struct_0(c14). [resolve(78,a,69,a)].
% 0.82/1.11 Derived: v3_struct_0(c14) | -v1_xboole_0(u1_struct_0(c14)). [resolve(151,a,141,b)].
% 1.32/1.61 Derived: v3_struct_0(c14) | m1_subset_1(f9(c14),k1_zfmisc_1(u1_struct_0(c14))). [resolve(151,a,144,b)].
% 1.32/1.61 Derived: v3_struct_0(c14) | -v1_xboole_0(f9(c14)). [resolve(151,a,145,b)].
% 1.32/1.61
% 1.32/1.61 ============================== end predicate elimination =============
% 1.32/1.61
% 1.32/1.61 Auto_denials: (non-Horn, no changes).
% 1.32/1.61
% 1.32/1.61 Term ordering decisions:
% 1.32/1.61 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. g1_group_1=1. k2_zfmisc_1=1. f1=1. f2=1. f3=1. f6=1. f7=1. f8=1. u1_struct_0=1. k1_autgroup=1. k4_autgroup=1. k1_zfmisc_1=1. u1_group_1=1. f4=1. f9=1. f5=1.
% 1.32/1.61
% 1.32/1.61 ============================== end of process initial clauses ========
% 1.32/1.61
% 1.32/1.61 ============================== CLAUSES FOR SEARCH ====================
% 1.32/1.61
% 1.32/1.61 ============================== end of clauses for search =============
% 1.32/1.61
% 1.32/1.61 ============================== SEARCH ================================
% 1.32/1.61
% 1.32/1.61 % Starting search at 0.11 seconds.
% 1.32/1.61
% 1.32/1.61 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 114 (0.00 of 0.18 sec).
% 1.32/1.61
% 1.32/1.61 Low Water (keep): wt=24.000, iters=3544
% 1.32/1.61
% 1.32/1.61 Low Water (keep): wt=21.000, iters=3389
% 1.32/1.61
% 1.32/1.61 ============================== PROOF =================================
% 1.32/1.61 % SZS status Theorem
% 1.32/1.61 % SZS output start Refutation
% 1.32/1.61
% 1.32/1.61 % Proof 1 at 0.55 (+ 0.01) seconds.
% 1.32/1.61 % Length of proof is 51.
% 1.32/1.61 % Level of proof is 10.
% 1.32/1.61 % Maximum clause weight is 16.000.
% 1.32/1.61 % Given clauses 1332.
% 1.32/1.61
% 1.32/1.61 11 (all A all B (r1_tarski(A,B) <-> (all C (r2_hidden(C,A) -> r2_hidden(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption].
% 1.32/1.61 13 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> m1_fraenkel(k1_autgroup(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k1_autgroup) # label(axiom) # label(non_clause). [assumption].
% 1.32/1.61 17 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k4_autgroup) # label(axiom) # label(non_clause). [assumption].
% 1.32/1.61 18 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 1.32/1.61 20 (all A all B all C (m1_fraenkel(C,A,B) -> -v1_xboole_0(C) & v1_fraenkel(C))) # label(dt_m1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 1.32/1.61 35 (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].
% 1.32/1.61 51 (all A all B all C (-v1_xboole_0(B) & m1_fraenkel(C,A,B) -> (all D (m2_fraenkel(D,A,B,C) <-> m1_subset_1(D,C))))) # label(redefinition_m2_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 1.32/1.61 54 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)))))) # label(t13_autgroup) # label(axiom) # label(non_clause). [assumption].
% 1.32/1.61 55 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 1.32/1.61 56 (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].
% 1.32/1.61 63 -(all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> r1_tarski(k4_autgroup(A),k1_autgroup(A)))) # label(t14_autgroup) # label(negated_conjecture) # label(non_clause). [assumption].
% 1.32/1.61 67 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_fraenkel(k1_autgroup(A),u1_struct_0(A),u1_struct_0(A)) # label(dt_k1_autgroup) # label(axiom). [clausify(13)].
% 1.32/1.61 68 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)) # label(dt_k4_autgroup) # label(axiom). [clausify(17)].
% 1.32/1.61 69 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(18)].
% 1.32/1.61 77 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) | m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) # label(t13_autgroup) # label(axiom). [clausify(54)].
% 1.32/1.61 78 l1_group_1(c14) # label(t14_autgroup) # label(negated_conjecture). [clausify(63)].
% 1.32/1.61 97 -m1_fraenkel(A,B,C) | -v1_xboole_0(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(20)].
% 1.32/1.61 102 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | m1_subset_1(D,B) # label(redefinition_m2_fraenkel) # label(axiom). [clausify(51)].
% 1.32/1.61 103 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | m2_fraenkel(D,C,A,B) | -m1_subset_1(D,B) # label(redefinition_m2_fraenkel) # label(axiom). [clausify(51)].
% 1.32/1.61 114 v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | m1_fraenkel(k1_autgroup(c14),u1_struct_0(c14),u1_struct_0(c14)). [resolve(78,a,67,e)].
% 1.32/1.61 115 v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | m1_fraenkel(k4_autgroup(c14),u1_struct_0(c14),u1_struct_0(c14)). [resolve(78,a,68,e)].
% 1.32/1.61 141 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(35)].
% 1.32/1.61 151 l1_struct_0(c14). [resolve(78,a,69,a)].
% 1.32/1.61 156 r1_tarski(A,B) | r2_hidden(f1(A,B),A) # label(d3_tarski) # label(axiom). [clausify(11)].
% 1.32/1.61 157 r1_tarski(A,B) | -r2_hidden(f1(A,B),B) # label(d3_tarski) # label(axiom). [clausify(11)].
% 1.32/1.61 188 -r2_hidden(A,B) | m1_subset_1(A,B) # label(t1_subset) # label(axiom). [clausify(55)].
% 1.32/1.61 189 -m1_subset_1(A,B) | v1_xboole_0(B) | r2_hidden(A,B) # label(t2_subset) # label(axiom). [clausify(56)].
% 1.32/1.61 197 -v3_struct_0(c14) # label(t14_autgroup) # label(negated_conjecture). [clausify(63)].
% 1.32/1.61 198 v1_group_1(c14) # label(t14_autgroup) # label(negated_conjecture). [clausify(63)].
% 1.32/1.61 199 v3_group_1(c14) # label(t14_autgroup) # label(negated_conjecture). [clausify(63)].
% 1.32/1.61 200 v4_group_1(c14) # label(t14_autgroup) # label(negated_conjecture). [clausify(63)].
% 1.32/1.61 201 -r1_tarski(k4_autgroup(c14),k1_autgroup(c14)) # label(t14_autgroup) # label(negated_conjecture). [clausify(63)].
% 1.32/1.61 232 v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)). [resolve(78,a,77,e)].
% 1.32/1.61 233 -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)). [copy(232),unit_del(a,197),unit_del(b,198),unit_del(c,199),unit_del(d,200)].
% 1.32/1.61 337 v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -v1_xboole_0(k1_autgroup(c14)). [resolve(114,e,97,a)].
% 1.32/1.61 338 -v1_xboole_0(k1_autgroup(c14)). [copy(337),unit_del(a,197),unit_del(b,198),unit_del(c,199),unit_del(d,200)].
% 1.32/1.61 345 v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | m1_subset_1(A,k1_autgroup(c14)). [resolve(114,e,102,b)].
% 1.32/1.61 346 v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | m1_subset_1(A,k1_autgroup(c14)). [copy(345),unit_del(a,197),unit_del(b,198),unit_del(c,199),unit_del(d,200)].
% 1.32/1.61 359 v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | -m1_subset_1(A,k4_autgroup(c14)). [resolve(115,e,103,b)].
% 1.32/1.61 360 v1_xboole_0(u1_struct_0(c14)) | m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | -m1_subset_1(A,k4_autgroup(c14)). [copy(359),unit_del(a,197),unit_del(b,198),unit_del(c,199),unit_del(d,200)].
% 1.32/1.61 469 v3_struct_0(c14) | -v1_xboole_0(u1_struct_0(c14)). [resolve(151,a,141,b)].
% 1.32/1.61 470 -v1_xboole_0(u1_struct_0(c14)). [copy(469),unit_del(a,197)].
% 1.32/1.61 509 m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | -m1_subset_1(A,k4_autgroup(c14)). [back_unit_del(360),unit_del(a,470)].
% 1.32/1.61 515 -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | m1_subset_1(A,k1_autgroup(c14)). [back_unit_del(346),unit_del(a,470)].
% 1.32/1.61 535 r2_hidden(f1(k4_autgroup(c14),k1_autgroup(c14)),k4_autgroup(c14)). [resolve(201,a,156,a)].
% 1.32/1.61 695 m1_subset_1(f1(k4_autgroup(c14),k1_autgroup(c14)),k4_autgroup(c14)). [resolve(535,a,188,a)].
% 1.32/1.61 804 m2_fraenkel(f1(k4_autgroup(c14),k1_autgroup(c14)),u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)). [resolve(695,a,509,b)].
% 1.32/1.61 2827 m2_fraenkel(f1(k4_autgroup(c14),k1_autgroup(c14)),u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)). [resolve(804,a,233,a)].
% 1.32/1.61 5878 m1_subset_1(f1(k4_autgroup(c14),k1_autgroup(c14)),k1_autgroup(c14)). [resolve(2827,a,515,a)].
% 1.32/1.61 5883 r2_hidden(f1(k4_autgroup(c14),k1_autgroup(c14)),k1_autgroup(c14)). [resolve(5878,a,189,a),unit_del(a,338)].
% 1.32/1.61 5887 $F. [resolve(5883,a,157,b),unit_del(a,201)].
% 1.32/1.61
% 1.32/1.61 % SZS output end Refutation
% 1.32/1.61 ============================== end of proof ==========================
% 1.32/1.61
% 1.32/1.61 ============================== STATISTICS ============================
% 1.32/1.61
% 1.32/1.61 Given=1332. Generated=10135. Kept=5643. proofs=1.
% 1.32/1.61 Usable=1320. Sos=4218. Demods=12. Limbo=3, Disabled=449. Hints=0.
% 1.32/1.61 Megabytes=9.58.
% 1.32/1.61 User_CPU=0.55, System_CPU=0.01, Wall_clock=1.
% 1.32/1.61
% 1.32/1.61 ============================== end of statistics =====================
% 1.32/1.61
% 1.32/1.61 ============================== end of search =========================
% 1.32/1.61
% 1.32/1.61 THEOREM PROVED
% 1.32/1.61 % SZS status Theorem
% 1.32/1.61
% 1.32/1.61 Exiting with 1 proof.
% 1.32/1.61
% 1.32/1.61 Process 20315 exit (max_proofs) Tue Jun 14 00:40:06 2022
% 1.32/1.61 Prover9 interrupted
%------------------------------------------------------------------------------