TSTP Solution File: GRP620+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP620+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n007.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 11:19:54 EDT 2022
% Result : Theorem 1.20s 1.52s
% Output : Refutation 1.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP620+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n007.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 15:30:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.78/1.05 ============================== Prover9 ===============================
% 0.78/1.05 Prover9 (32) version 2009-11A, November 2009.
% 0.78/1.05 Process 22112 was started by sandbox on n007.cluster.edu,
% 0.78/1.05 Mon Jun 13 15:30:09 2022
% 0.78/1.05 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_21959_n007.cluster.edu".
% 0.78/1.05 ============================== end of head ===========================
% 0.78/1.05
% 0.78/1.05 ============================== INPUT =================================
% 0.78/1.05
% 0.78/1.05 % Reading from file /tmp/Prover9_21959_n007.cluster.edu
% 0.78/1.05
% 0.78/1.05 set(prolog_style_variables).
% 0.78/1.05 set(auto2).
% 0.78/1.05 % set(auto2) -> set(auto).
% 0.78/1.05 % set(auto) -> set(auto_inference).
% 0.78/1.05 % set(auto) -> set(auto_setup).
% 0.78/1.05 % set(auto_setup) -> set(predicate_elim).
% 0.78/1.05 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.78/1.05 % set(auto) -> set(auto_limits).
% 0.78/1.05 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.78/1.05 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.78/1.05 % set(auto) -> set(auto_denials).
% 0.78/1.05 % set(auto) -> set(auto_process).
% 0.78/1.05 % set(auto2) -> assign(new_constants, 1).
% 0.78/1.05 % set(auto2) -> assign(fold_denial_max, 3).
% 0.78/1.05 % set(auto2) -> assign(max_weight, "200.000").
% 0.78/1.05 % set(auto2) -> assign(max_hours, 1).
% 0.78/1.05 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.78/1.05 % set(auto2) -> assign(max_seconds, 0).
% 0.78/1.05 % set(auto2) -> assign(max_minutes, 5).
% 0.78/1.05 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.78/1.05 % set(auto2) -> set(sort_initial_sos).
% 0.78/1.05 % set(auto2) -> assign(sos_limit, -1).
% 0.78/1.05 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.78/1.05 % set(auto2) -> assign(max_megs, 400).
% 0.78/1.05 % set(auto2) -> assign(stats, some).
% 0.78/1.05 % set(auto2) -> clear(echo_input).
% 0.78/1.05 % set(auto2) -> set(quiet).
% 0.78/1.05 % set(auto2) -> clear(print_initial_clauses).
% 0.78/1.05 % set(auto2) -> clear(print_given).
% 0.78/1.05 assign(lrs_ticks,-1).
% 0.78/1.05 assign(sos_limit,10000).
% 0.78/1.05 assign(order,kbo).
% 0.78/1.05 set(lex_order_vars).
% 0.78/1.05 clear(print_given).
% 0.78/1.05
% 0.78/1.05 % formulas(sos). % not echoed (69 formulas)
% 0.78/1.05
% 0.78/1.05 ============================== end of input ==========================
% 0.78/1.05
% 0.78/1.05 % From the command line: assign(max_seconds, 300).
% 0.78/1.05
% 0.78/1.05 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.78/1.05
% 0.78/1.05 % Formulas that are not ordinary clauses:
% 0.78/1.05 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].
% 0.78/1.05 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 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].
% 0.78/1.05 4 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 11 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v2_group_6(C,A,B) <-> v2_funct_1(C)))))))) # label(d12_group_6) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 12 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (v4_group_6(C,A,B) <-> v3_group_6(C,A,B) & v2_group_6(C,A,B)))))))) # label(d14_group_6) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 13 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) -> (B = k1_autgroup(A) <-> (all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),B) -> v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v1_group_6(C,A,A) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)))) & (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v1_group_6(C,A,A) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) -> (r2_hidden(C,B) <-> v2_funct_1(C) & v3_group_6(C,A,A))))))))) # label(d1_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 14 (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].
% 0.78/1.05 15 (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].
% 0.78/1.05 16 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 17 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 18 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k2_funct_1(A)) & v1_funct_1(k2_funct_1(A)))) # label(dt_k2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 19 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 20 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 21 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 22 (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].
% 0.78/1.05 23 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 24 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 25 (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].
% 0.78/1.05 26 (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].
% 0.78/1.05 27 (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].
% 0.78/1.05 28 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 29 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 30 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 31 (all A all B exists C m1_fraenkel(C,A,B)) # label(existence_m1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 32 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 33 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 34 (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].
% 0.78/1.05 35 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 36 (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].
% 0.78/1.05 37 (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].
% 0.78/1.05 38 (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].
% 0.78/1.05 39 (exists A (-v1_xboole_0(A) & v1_fraenkel(A))) # label(rc1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 40 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 41 (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].
% 0.78/1.05 42 (exists A (l1_group_1(A) & v1_group_1(A))) # label(rc1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 43 (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].
% 0.78/1.05 44 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 45 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 46 (exists A (l1_group_1(A) & -v3_struct_0(A) & v1_group_1(A))) # label(rc2_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 47 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (exists C (m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) & -v1_xboole_0(C) & v1_relat_1(C) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_partfun1(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B))))) # label(rc2_group_6) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 48 (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].
% 0.78/1.05 49 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 50 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 51 (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].
% 0.78/1.05 52 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 53 (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].
% 0.78/1.05 54 (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].
% 0.78/1.05 55 (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].
% 0.78/1.05 56 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 57 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 58 (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].
% 0.78/1.05 59 (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].
% 0.78/1.06 60 (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].
% 0.78/1.06 61 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_group_6(B,A,A) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) -> (r2_hidden(B,k1_autgroup(A)) <-> v4_group_6(B,A,A)))))) # label(t5_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 62 (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].
% 0.78/1.06 63 (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),k1_autgroup(A)) -> v1_funct_1(k2_funct_1(B)) & v1_funct_2(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A)) & v1_group_6(k2_funct_1(B),A,A) & m2_relset_1(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A)))))) # label(t6_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 64 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 65 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) -> (v4_group_6(C,B,A) & D = k2_funct_1(C) -> v4_group_6(D,A,B)))))))))) # label(t73_group_6) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 66 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 67 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 68 -(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),k1_autgroup(A)) -> m2_fraenkel(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)))))) # label(t7_autgroup) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.78/1.06
% 0.78/1.06 ============================== end of process non-clausal formulas ===
% 0.78/1.06
% 0.78/1.06 ============================== PROCESS INITIAL CLAUSES ===============
% 0.78/1.06
% 0.78/1.06 ============================== PREDICATE ELIMINATION =================
% 0.78/1.06 69 -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)) # label(dt_g1_group_1) # label(axiom). [clausify(14)].
% 0.78/1.06 70 -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)].
% 0.78/1.06 71 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) != B | -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),B) | v1_funct_1(C) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 72 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) != B | -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),B) | v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 73 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) != B | -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),B) | v1_group_6(C,A,A) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 74 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) != B | -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),B) | m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 75 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) != B | -v1_funct_1(C) | -v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(C,A,A) | -m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) | -r2_hidden(C,B) | v2_funct_1(C) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 76 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) != B | -v1_funct_1(C) | -v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(C,A,A) | -m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) | -r2_hidden(C,B) | v3_group_6(C,A,A) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 77 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) != B | -v1_funct_1(C) | -v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(C,A,A) | -m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) | r2_hidden(C,B) | -v2_funct_1(C) | -v3_group_6(C,A,A) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 78 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) = B | m2_fraenkel(f1(A,B),u1_struct_0(A),u1_struct_0(A),B) | v1_funct_1(f2(A,B)) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 79 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) = B | m2_fraenkel(f1(A,B),u1_struct_0(A),u1_struct_0(A),B) | v1_funct_2(f2(A,B),u1_struct_0(A),u1_struct_0(A)) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 80 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) = B | m2_fraenkel(f1(A,B),u1_struct_0(A),u1_struct_0(A),B) | v1_group_6(f2(A,B),A,A) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 81 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) = B | m2_fraenkel(f1(A,B),u1_struct_0(A),u1_struct_0(A),B) | m2_relset_1(f2(A,B),u1_struct_0(A),u1_struct_0(A)) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 82 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) = B | m2_fraenkel(f1(A,B),u1_struct_0(A),u1_struct_0(A),B) | r2_hidden(f2(A,B),B) | v2_funct_1(f2(A,B)) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 83 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) = B | m2_fraenkel(f1(A,B),u1_struct_0(A),u1_struct_0(A),B) | r2_hidden(f2(A,B),B) | v3_group_6(f2(A,B),A,A) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 84 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) = B | m2_fraenkel(f1(A,B),u1_struct_0(A),u1_struct_0(A),B) | -r2_hidden(f2(A,B),B) | -v2_funct_1(f2(A,B)) | -v3_group_6(f2(A,B),A,A) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 85 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) = B | -v1_funct_1(f1(A,B)) | -v1_funct_2(f1(A,B),u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(f1(A,B),A,A) | -m2_relset_1(f1(A,B),u1_struct_0(A),u1_struct_0(A)) | v1_funct_1(f2(A,B)) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 86 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) = B | -v1_funct_1(f1(A,B)) | -v1_funct_2(f1(A,B),u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(f1(A,B),A,A) | -m2_relset_1(f1(A,B),u1_struct_0(A),u1_struct_0(A)) | v1_funct_2(f2(A,B),u1_struct_0(A),u1_struct_0(A)) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 87 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) = B | -v1_funct_1(f1(A,B)) | -v1_funct_2(f1(A,B),u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(f1(A,B),A,A) | -m2_relset_1(f1(A,B),u1_struct_0(A),u1_struct_0(A)) | v1_group_6(f2(A,B),A,A) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 88 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) = B | -v1_funct_1(f1(A,B)) | -v1_funct_2(f1(A,B),u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(f1(A,B),A,A) | -m2_relset_1(f1(A,B),u1_struct_0(A),u1_struct_0(A)) | m2_relset_1(f2(A,B),u1_struct_0(A),u1_struct_0(A)) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 89 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) = B | -v1_funct_1(f1(A,B)) | -v1_funct_2(f1(A,B),u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(f1(A,B),A,A) | -m2_relset_1(f1(A,B),u1_struct_0(A),u1_struct_0(A)) | r2_hidden(f2(A,B),B) | v2_funct_1(f2(A,B)) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 90 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) = B | -v1_funct_1(f1(A,B)) | -v1_funct_2(f1(A,B),u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(f1(A,B),A,A) | -m2_relset_1(f1(A,B),u1_struct_0(A),u1_struct_0(A)) | r2_hidden(f2(A,B),B) | v3_group_6(f2(A,B),A,A) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 91 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) = B | -v1_funct_1(f1(A,B)) | -v1_funct_2(f1(A,B),u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(f1(A,B),A,A) | -m2_relset_1(f1(A,B),u1_struct_0(A),u1_struct_0(A)) | -r2_hidden(f2(A,B),B) | -v2_funct_1(f2(A,B)) | -v3_group_6(f2(A,B),A,A) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 0.78/1.06 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) | -l1_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(69,d,70,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) != C | -m2_fraenkel(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),C) | v1_funct_1(D). [resolve(69,d,71,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) != C | -m2_fraenkel(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),C) | v1_funct_2(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))). [resolve(69,d,72,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) != C | -m2_fraenkel(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),C) | v1_group_6(D,g1_group_1(B,A),g1_group_1(B,A)). [resolve(69,d,73,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) != C | -m2_fraenkel(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),C) | m2_relset_1(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))). [resolve(69,d,74,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) != C | -v1_funct_1(D) | -v1_funct_2(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | -v1_group_6(D,g1_group_1(B,A),g1_group_1(B,A)) | -m2_relset_1(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | -r2_hidden(D,C) | v2_funct_1(D). [resolve(69,d,75,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) != C | -v1_funct_1(D) | -v1_funct_2(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | -v1_group_6(D,g1_group_1(B,A),g1_group_1(B,A)) | -m2_relset_1(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | -r2_hidden(D,C) | v3_group_6(D,g1_group_1(B,A),g1_group_1(B,A)). [resolve(69,d,76,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) != C | -v1_funct_1(D) | -v1_funct_2(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | -v1_group_6(D,g1_group_1(B,A),g1_group_1(B,A)) | -m2_relset_1(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | r2_hidden(D,C) | -v2_funct_1(D) | -v3_group_6(D,g1_group_1(B,A),g1_group_1(B,A)). [resolve(69,d,77,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) = C | m2_fraenkel(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),C) | v1_funct_1(f2(g1_group_1(B,A),C)). [resolve(69,d,78,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) = C | m2_fraenkel(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),C) | v1_funct_2(f2(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))). [resolve(69,d,79,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) = C | m2_fraenkel(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),C) | v1_group_6(f2(g1_group_1(B,A),C),g1_group_1(B,A),g1_group_1(B,A)). [resolve(69,d,80,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) = C | m2_fraenkel(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),C) | m2_relset_1(f2(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))). [resolve(69,d,81,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) = C | m2_fraenkel(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),C) | r2_hidden(f2(g1_group_1(B,A),C),C) | v2_funct_1(f2(g1_group_1(B,A),C)). [resolve(69,d,82,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) = C | m2_fraenkel(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),C) | r2_hidden(f2(g1_group_1(B,A),C),C) | v3_group_6(f2(g1_group_1(B,A),C),g1_group_1(B,A),g1_group_1(B,A)). [resolve(69,d,83,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) = C | m2_fraenkel(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),C) | -r2_hidden(f2(g1_group_1(B,A),C),C) | -v2_funct_1(f2(g1_group_1(B,A),C)) | -v3_group_6(f2(g1_group_1(B,A),C),g1_group_1(B,A),g1_group_1(B,A)). [resolve(69,d,84,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) = C | -v1_funct_1(f1(g1_group_1(B,A),C)) | -v1_funct_2(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | -v1_group_6(f1(g1_group_1(B,A),C),g1_group_1(B,A),g1_group_1(B,A)) | -m2_relset_1(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | v1_funct_1(f2(g1_group_1(B,A),C)). [resolve(69,d,85,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) = C | -v1_funct_1(f1(g1_group_1(B,A),C)) | -v1_funct_2(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | -v1_group_6(f1(g1_group_1(B,A),C),g1_group_1(B,A),g1_group_1(B,A)) | -m2_relset_1(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | v1_funct_2(f2(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))). [resolve(69,d,86,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) = C | -v1_funct_1(f1(g1_group_1(B,A),C)) | -v1_funct_2(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | -v1_group_6(f1(g1_group_1(B,A),C),g1_group_1(B,A),g1_group_1(B,A)) | -m2_relset_1(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | v1_group_6(f2(g1_group_1(B,A),C),g1_group_1(B,A),g1_group_1(B,A)). [resolve(69,d,87,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) = C | -v1_funct_1(f1(g1_group_1(B,A),C)) | -v1_funct_2(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | -v1_group_6(f1(g1_group_1(B,A),C),g1_group_1(B,A),g1_group_1(B,A)) | -m2_relset_1(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | m2_relset_1(f2(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))). [resolve(69,d,88,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) = C | -v1_funct_1(f1(g1_group_1(B,A),C)) | -v1_funct_2(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | -v1_group_6(f1(g1_group_1(B,A),C),g1_group_1(B,A),g1_group_1(B,A)) | -m2_relset_1(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | r2_hidden(f2(g1_group_1(B,A),C),C) | v2_funct_1(f2(g1_group_1(B,A),C)). [resolve(69,d,89,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) = C | -v1_funct_1(f1(g1_group_1(B,A),C)) | -v1_funct_2(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | -v1_group_6(f1(g1_group_1(B,A),C),g1_group_1(B,A),g1_group_1(B,A)) | -m2_relset_1(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | r2_hidden(f2(g1_group_1(B,A),C),C) | v3_group_6(f2(g1_group_1(B,A),C),g1_group_1(B,A),g1_group_1(B,A)). [resolve(69,d,90,b)].
% 0.78/1.06 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)) | -v4_group_1(g1_group_1(B,A)) | -l1_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k1_autgroup(g1_group_1(B,A)) = C | -v1_funct_1(f1(g1_group_1(B,A),C)) | -v1_funct_2(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | -v1_group_6(f1(g1_group_1(B,A),C),g1_group_1(B,A),g1_group_1(B,A)) | -m2_relset_1(f1(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | -r2_hidden(f2(g1_group_1(B,A),C),C) | -v2_funct_1(f2(g1_group_1(B,A),C)) | -v3_group_6(f2(g1_group_1(B,A),C),g1_group_1(B,A),g1_group_1(B,A)). [resolve(69,d,91,b)].
% 0.78/1.06 92 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(15)].
% 0.78/1.06 Derived: v3_struct_0(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -l1_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(92,b,69,d)].
% 0.78/1.06 93 v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_group_1(g1_group_1(A,B)) # label(fc1_group_1) # label(axiom). [clausify(36)].
% 0.78/1.06 94 v1_group_1(c5) # label(rc1_group_1) # label(axiom). [clausify(42)].
% 0.78/1.06 Derived: -l1_group_1(c5) | g1_group_1(u1_struct_0(c5),u1_group_1(c5)) = c5. [resolve(94,a,70,b)].
% 0.78/1.06 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) != A | -m2_fraenkel(B,u1_struct_0(c5),u1_struct_0(c5),A) | v1_funct_1(B). [resolve(94,a,71,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) != A | -m2_fraenkel(B,u1_struct_0(c5),u1_struct_0(c5),A) | v1_funct_2(B,u1_struct_0(c5),u1_struct_0(c5)). [resolve(94,a,72,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) != A | -m2_fraenkel(B,u1_struct_0(c5),u1_struct_0(c5),A) | v1_group_6(B,c5,c5). [resolve(94,a,73,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) != A | -m2_fraenkel(B,u1_struct_0(c5),u1_struct_0(c5),A) | m2_relset_1(B,u1_struct_0(c5),u1_struct_0(c5)). [resolve(94,a,74,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) != A | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(c5),u1_struct_0(c5)) | -v1_group_6(B,c5,c5) | -m2_relset_1(B,u1_struct_0(c5),u1_struct_0(c5)) | -r2_hidden(B,A) | v2_funct_1(B). [resolve(94,a,75,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) != A | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(c5),u1_struct_0(c5)) | -v1_group_6(B,c5,c5) | -m2_relset_1(B,u1_struct_0(c5),u1_struct_0(c5)) | -r2_hidden(B,A) | v3_group_6(B,c5,c5). [resolve(94,a,76,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) != A | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(c5),u1_struct_0(c5)) | -v1_group_6(B,c5,c5) | -m2_relset_1(B,u1_struct_0(c5),u1_struct_0(c5)) | r2_hidden(B,A) | -v2_funct_1(B) | -v3_group_6(B,c5,c5). [resolve(94,a,77,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) = A | m2_fraenkel(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5),A) | v1_funct_1(f2(c5,A)). [resolve(94,a,78,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) = A | m2_fraenkel(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5),A) | v1_funct_2(f2(c5,A),u1_struct_0(c5),u1_struct_0(c5)). [resolve(94,a,79,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) = A | m2_fraenkel(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5),A) | v1_group_6(f2(c5,A),c5,c5). [resolve(94,a,80,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) = A | m2_fraenkel(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5),A) | m2_relset_1(f2(c5,A),u1_struct_0(c5),u1_struct_0(c5)). [resolve(94,a,81,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) = A | m2_fraenkel(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5),A) | r2_hidden(f2(c5,A),A) | v2_funct_1(f2(c5,A)). [resolve(94,a,82,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) = A | m2_fraenkel(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5),A) | r2_hidden(f2(c5,A),A) | v3_group_6(f2(c5,A),c5,c5). [resolve(94,a,83,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) = A | m2_fraenkel(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5),A) | -r2_hidden(f2(c5,A),A) | -v2_funct_1(f2(c5,A)) | -v3_group_6(f2(c5,A),c5,c5). [resolve(94,a,84,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) = A | -v1_funct_1(f1(c5,A)) | -v1_funct_2(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5)) | -v1_group_6(f1(c5,A),c5,c5) | -m2_relset_1(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5)) | v1_funct_1(f2(c5,A)). [resolve(94,a,85,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) = A | -v1_funct_1(f1(c5,A)) | -v1_funct_2(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5)) | -v1_group_6(f1(c5,A),c5,c5) | -m2_relset_1(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5)) | v1_funct_2(f2(c5,A),u1_struct_0(c5),u1_struct_0(c5)). [resolve(94,a,86,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) = A | -v1_funct_1(f1(c5,A)) | -v1_funct_2(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5)) | -v1_group_6(f1(c5,A),c5,c5) | -m2_relset_1(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5)) | v1_group_6(f2(c5,A),c5,c5). [resolve(94,a,87,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) = A | -v1_funct_1(f1(c5,A)) | -v1_funct_2(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5)) | -v1_group_6(f1(c5,A),c5,c5) | -m2_relset_1(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5)) | m2_relset_1(f2(c5,A),u1_struct_0(c5),u1_struct_0(c5)). [resolve(94,a,88,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) = A | -v1_funct_1(f1(c5,A)) | -v1_funct_2(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5)) | -v1_group_6(f1(c5,A),c5,c5) | -m2_relset_1(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5)) | r2_hidden(f2(c5,A),A) | v2_funct_1(f2(c5,A)). [resolve(94,a,89,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) = A | -v1_funct_1(f1(c5,A)) | -v1_funct_2(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5)) | -v1_group_6(f1(c5,A),c5,c5) | -m2_relset_1(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5)) | r2_hidden(f2(c5,A),A) | v3_group_6(f2(c5,A),c5,c5). [resolve(94,a,90,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k1_autgroup(c5) = A | -v1_funct_1(f1(c5,A)) | -v1_funct_2(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5)) | -v1_group_6(f1(c5,A),c5,c5) | -m2_relset_1(f1(c5,A),u1_struct_0(c5),u1_struct_0(c5)) | -r2_hidden(f2(c5,A),A) | -v2_funct_1(f2(c5,A)) | -v3_group_6(f2(c5,A),c5,c5). [resolve(94,a,91,b)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | m1_fraenkel(k1_autgroup(c5),u1_struct_0(c5),u1_struct_0(c5)). [resolve(94,a,92,b)].
% 0.78/1.07 95 v1_group_1(c9) # label(rc2_group_1) # label(axiom). [clausify(46)].
% 0.78/1.07 Derived: -l1_group_1(c9) | g1_group_1(u1_struct_0(c9),u1_group_1(c9)) = c9. [resolve(95,a,70,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) != A | -m2_fraenkel(B,u1_struct_0(c9),u1_struct_0(c9),A) | v1_funct_1(B). [resolve(95,a,71,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) != A | -m2_fraenkel(B,u1_struct_0(c9),u1_struct_0(c9),A) | v1_funct_2(B,u1_struct_0(c9),u1_struct_0(c9)). [resolve(95,a,72,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) != A | -m2_fraenkel(B,u1_struct_0(c9),u1_struct_0(c9),A) | v1_group_6(B,c9,c9). [resolve(95,a,73,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) != A | -m2_fraenkel(B,u1_struct_0(c9),u1_struct_0(c9),A) | m2_relset_1(B,u1_struct_0(c9),u1_struct_0(c9)). [resolve(95,a,74,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) != A | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(c9),u1_struct_0(c9)) | -v1_group_6(B,c9,c9) | -m2_relset_1(B,u1_struct_0(c9),u1_struct_0(c9)) | -r2_hidden(B,A) | v2_funct_1(B). [resolve(95,a,75,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) != A | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(c9),u1_struct_0(c9)) | -v1_group_6(B,c9,c9) | -m2_relset_1(B,u1_struct_0(c9),u1_struct_0(c9)) | -r2_hidden(B,A) | v3_group_6(B,c9,c9). [resolve(95,a,76,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) != A | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(c9),u1_struct_0(c9)) | -v1_group_6(B,c9,c9) | -m2_relset_1(B,u1_struct_0(c9),u1_struct_0(c9)) | r2_hidden(B,A) | -v2_funct_1(B) | -v3_group_6(B,c9,c9). [resolve(95,a,77,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) = A | m2_fraenkel(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9),A) | v1_funct_1(f2(c9,A)). [resolve(95,a,78,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) = A | m2_fraenkel(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9),A) | v1_funct_2(f2(c9,A),u1_struct_0(c9),u1_struct_0(c9)). [resolve(95,a,79,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) = A | m2_fraenkel(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9),A) | v1_group_6(f2(c9,A),c9,c9). [resolve(95,a,80,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) = A | m2_fraenkel(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9),A) | m2_relset_1(f2(c9,A),u1_struct_0(c9),u1_struct_0(c9)). [resolve(95,a,81,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) = A | m2_fraenkel(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9),A) | r2_hidden(f2(c9,A),A) | v2_funct_1(f2(c9,A)). [resolve(95,a,82,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) = A | m2_fraenkel(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9),A) | r2_hidden(f2(c9,A),A) | v3_group_6(f2(c9,A),c9,c9). [resolve(95,a,83,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) = A | m2_fraenkel(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9),A) | -r2_hidden(f2(c9,A),A) | -v2_funct_1(f2(c9,A)) | -v3_group_6(f2(c9,A),c9,c9). [resolve(95,a,84,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) = A | -v1_funct_1(f1(c9,A)) | -v1_funct_2(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9)) | -v1_group_6(f1(c9,A),c9,c9) | -m2_relset_1(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9)) | v1_funct_1(f2(c9,A)). [resolve(95,a,85,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) = A | -v1_funct_1(f1(c9,A)) | -v1_funct_2(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9)) | -v1_group_6(f1(c9,A),c9,c9) | -m2_relset_1(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9)) | v1_funct_2(f2(c9,A),u1_struct_0(c9),u1_struct_0(c9)). [resolve(95,a,86,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) = A | -v1_funct_1(f1(c9,A)) | -v1_funct_2(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9)) | -v1_group_6(f1(c9,A),c9,c9) | -m2_relset_1(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9)) | v1_group_6(f2(c9,A),c9,c9). [resolve(95,a,87,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) = A | -v1_funct_1(f1(c9,A)) | -v1_funct_2(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9)) | -v1_group_6(f1(c9,A),c9,c9) | -m2_relset_1(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9)) | m2_relset_1(f2(c9,A),u1_struct_0(c9),u1_struct_0(c9)). [resolve(95,a,88,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) = A | -v1_funct_1(f1(c9,A)) | -v1_funct_2(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9)) | -v1_group_6(f1(c9,A),c9,c9) | -m2_relset_1(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9)) | r2_hidden(f2(c9,A),A) | v2_funct_1(f2(c9,A)). [resolve(95,a,89,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) = A | -v1_funct_1(f1(c9,A)) | -v1_funct_2(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9)) | -v1_group_6(f1(c9,A),c9,c9) | -m2_relset_1(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9)) | r2_hidden(f2(c9,A),A) | v3_group_6(f2(c9,A),c9,c9). [resolve(95,a,90,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k1_autgroup(c9) = A | -v1_funct_1(f1(c9,A)) | -v1_funct_2(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9)) | -v1_group_6(f1(c9,A),c9,c9) | -m2_relset_1(f1(c9,A),u1_struct_0(c9),u1_struct_0(c9)) | -r2_hidden(f2(c9,A),A) | -v2_funct_1(f2(c9,A)) | -v3_group_6(f2(c9,A),c9,c9). [resolve(95,a,91,b)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | m1_fraenkel(k1_autgroup(c9),u1_struct_0(c9),u1_struct_0(c9)). [resolve(95,a,92,b)].
% 0.78/1.07 96 v1_group_1(c12) # label(rc3_group_1) # label(axiom). [clausify(51)].
% 0.78/1.07 Derived: -l1_group_1(c12) | g1_group_1(u1_struct_0(c12),u1_group_1(c12)) = c12. [resolve(96,a,70,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) != A | -m2_fraenkel(B,u1_struct_0(c12),u1_struct_0(c12),A) | v1_funct_1(B). [resolve(96,a,71,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) != A | -m2_fraenkel(B,u1_struct_0(c12),u1_struct_0(c12),A) | v1_funct_2(B,u1_struct_0(c12),u1_struct_0(c12)). [resolve(96,a,72,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) != A | -m2_fraenkel(B,u1_struct_0(c12),u1_struct_0(c12),A) | v1_group_6(B,c12,c12). [resolve(96,a,73,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) != A | -m2_fraenkel(B,u1_struct_0(c12),u1_struct_0(c12),A) | m2_relset_1(B,u1_struct_0(c12),u1_struct_0(c12)). [resolve(96,a,74,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) != A | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(c12),u1_struct_0(c12)) | -v1_group_6(B,c12,c12) | -m2_relset_1(B,u1_struct_0(c12),u1_struct_0(c12)) | -r2_hidden(B,A) | v2_funct_1(B). [resolve(96,a,75,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) != A | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(c12),u1_struct_0(c12)) | -v1_group_6(B,c12,c12) | -m2_relset_1(B,u1_struct_0(c12),u1_struct_0(c12)) | -r2_hidden(B,A) | v3_group_6(B,c12,c12). [resolve(96,a,76,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) != A | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(c12),u1_struct_0(c12)) | -v1_group_6(B,c12,c12) | -m2_relset_1(B,u1_struct_0(c12),u1_struct_0(c12)) | r2_hidden(B,A) | -v2_funct_1(B) | -v3_group_6(B,c12,c12). [resolve(96,a,77,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) = A | m2_fraenkel(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12),A) | v1_funct_1(f2(c12,A)). [resolve(96,a,78,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) = A | m2_fraenkel(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12),A) | v1_funct_2(f2(c12,A),u1_struct_0(c12),u1_struct_0(c12)). [resolve(96,a,79,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) = A | m2_fraenkel(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12),A) | v1_group_6(f2(c12,A),c12,c12). [resolve(96,a,80,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) = A | m2_fraenkel(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12),A) | m2_relset_1(f2(c12,A),u1_struct_0(c12),u1_struct_0(c12)). [resolve(96,a,81,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) = A | m2_fraenkel(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12),A) | r2_hidden(f2(c12,A),A) | v2_funct_1(f2(c12,A)). [resolve(96,a,82,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) = A | m2_fraenkel(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12),A) | r2_hidden(f2(c12,A),A) | v3_group_6(f2(c12,A),c12,c12). [resolve(96,a,83,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) = A | m2_fraenkel(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12),A) | -r2_hidden(f2(c12,A),A) | -v2_funct_1(f2(c12,A)) | -v3_group_6(f2(c12,A),c12,c12). [resolve(96,a,84,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) = A | -v1_funct_1(f1(c12,A)) | -v1_funct_2(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12)) | -v1_group_6(f1(c12,A),c12,c12) | -m2_relset_1(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12)) | v1_funct_1(f2(c12,A)). [resolve(96,a,85,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) = A | -v1_funct_1(f1(c12,A)) | -v1_funct_2(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12)) | -v1_group_6(f1(c12,A),c12,c12) | -m2_relset_1(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12)) | v1_funct_2(f2(c12,A),u1_struct_0(c12),u1_struct_0(c12)). [resolve(96,a,86,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) = A | -v1_funct_1(f1(c12,A)) | -v1_funct_2(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12)) | -v1_group_6(f1(c12,A),c12,c12) | -m2_relset_1(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12)) | v1_group_6(f2(c12,A),c12,c12). [resolve(96,a,87,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) = A | -v1_funct_1(f1(c12,A)) | -v1_funct_2(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12)) | -v1_group_6(f1(c12,A),c12,c12) | -m2_relset_1(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12)) | m2_relset_1(f2(c12,A),u1_struct_0(c12),u1_struct_0(c12)). [resolve(96,a,88,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) = A | -v1_funct_1(f1(c12,A)) | -v1_funct_2(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12)) | -v1_group_6(f1(c12,A),c12,c12) | -m2_relset_1(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12)) | r2_hidden(f2(c12,A),A) | v2_funct_1(f2(c12,A)). [resolve(96,a,89,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) = A | -v1_funct_1(f1(c12,A)) | -v1_funct_2(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12)) | -v1_group_6(f1(c12,A),c12,c12) | -m2_relset_1(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12)) | r2_hidden(f2(c12,A),A) | v3_group_6(f2(c12,A),c12,c12). [resolve(96,a,90,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k1_autgroup(c12) = A | -v1_funct_1(f1(c12,A)) | -v1_funct_2(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12)) | -v1_group_6(f1(c12,A),c12,c12) | -m2_relset_1(f1(c12,A),u1_struct_0(c12),u1_struct_0(c12)) | -r2_hidden(f2(c12,A),A) | -v2_funct_1(f2(c12,A)) | -v3_group_6(f2(c12,A),c12,c12). [resolve(96,a,91,b)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | m1_fraenkel(k1_autgroup(c12),u1_struct_0(c12),u1_struct_0(c12)). [resolve(96,a,92,b)].
% 0.78/1.07 97 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(B,A,A) | -m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) | -r2_hidden(B,k1_autgroup(A)) | v4_group_6(B,A,A) # label(t5_autgroup) # label(axiom). [clausify(61)].
% 0.78/1.07 Derived: v3_struct_0(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -l1_group_1(g1_group_1(A,B)) | -v1_funct_1(C) | -v1_funct_2(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))) | -v1_group_6(C,g1_group_1(A,B),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))) | -r2_hidden(C,k1_autgroup(g1_group_1(A,B))) | v4_group_6(C,g1_group_1(A,B),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(97,b,69,d)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -v1_funct_1(A) | -v1_funct_2(A,u1_struct_0(c5),u1_struct_0(c5)) | -v1_group_6(A,c5,c5) | -m2_relset_1(A,u1_struct_0(c5),u1_struct_0(c5)) | -r2_hidden(A,k1_autgroup(c5)) | v4_group_6(A,c5,c5). [resolve(97,b,94,a)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -v1_funct_1(A) | -v1_funct_2(A,u1_struct_0(c9),u1_struct_0(c9)) | -v1_group_6(A,c9,c9) | -m2_relset_1(A,u1_struct_0(c9),u1_struct_0(c9)) | -r2_hidden(A,k1_autgroup(c9)) | v4_group_6(A,c9,c9). [resolve(97,b,95,a)].
% 0.78/1.07 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -v1_funct_1(A) | -v1_funct_2(A,u1_struct_0(c12),u1_struct_0(c12)) | -v1_group_6(A,c12,c12) | -m2_relset_1(A,u1_struct_0(c12),u1_struct_0(c12)) | -r2_hidden(A,k1_autgroup(c12)) | v4_group_6(A,c12,c12). [resolve(97,b,96,a)].
% 0.78/1.07 98 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(B,A,A) | -m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) | r2_hidden(B,k1_autgroup(A)) | -v4_group_6(B,A,A) # label(t5_autgroup) # label(axiom). [clausify(61)].
% 0.78/1.07 Derived: v3_struct_0(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -l1_group_1(g1_group_1(A,B)) | -v1_funct_1(C) | -v1_funct_2(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))) | -v1_group_6(C,g1_group_1(A,B),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))) | r2_hidden(C,k1_autgroup(g1_group_1(A,B))) | -v4_group_6(C,g1_group_1(A,B),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(98,b,69,d)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -v1_funct_1(A) | -v1_funct_2(A,u1_struct_0(c5),u1_struct_0(c5)) | -v1_group_6(A,c5,c5) | -m2_relset_1(A,u1_struct_0(c5),u1_struct_0(c5)) | r2_hidden(A,k1_autgroup(c5)) | -v4_group_6(A,c5,c5). [resolve(98,b,94,a)].
% 0.78/1.07 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -v1_funct_1(A) | -v1_funct_2(A,u1_struct_0(c9),u1_struct_0(c9)) | -v1_group_6(A,c9,c9) | -m2_relset_1(A,u1_struct_0(c9),u1_struct_0(c9)) | r2_hidden(A,k1_autgroup(c9)) | -v4_group_6(A,c9,c9). [resolve(98,b,95,a)].
% 0.78/1.08 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -v1_funct_1(A) | -v1_funct_2(A,u1_struct_0(c12),u1_struct_0(c12)) | -v1_group_6(A,c12,c12) | -m2_relset_1(A,u1_struct_0(c12),u1_struct_0(c12)) | r2_hidden(A,k1_autgroup(c12)) | -v4_group_6(A,c12,c12). [resolve(98,b,96,a)].
% 0.78/1.08 99 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),k1_autgroup(A)) | v1_funct_1(k2_funct_1(B)) # label(t6_autgroup) # label(axiom). [clausify(63)].
% 0.78/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -l1_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)),k1_autgroup(g1_group_1(A,B))) | v1_funct_1(k2_funct_1(C)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(99,b,69,d)].
% 0.78/1.08 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k1_autgroup(c5)) | v1_funct_1(k2_funct_1(A)). [resolve(99,b,94,a)].
% 0.78/1.08 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k1_autgroup(c9)) | v1_funct_1(k2_funct_1(A)). [resolve(99,b,95,a)].
% 0.78/1.08 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k1_autgroup(c12)) | v1_funct_1(k2_funct_1(A)). [resolve(99,b,96,a)].
% 0.78/1.08 100 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),k1_autgroup(A)) | v1_funct_2(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A)) # label(t6_autgroup) # label(axiom). [clausify(63)].
% 0.78/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -l1_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)),k1_autgroup(g1_group_1(A,B))) | v1_funct_2(k2_funct_1(C),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(100,b,69,d)].
% 0.78/1.08 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k1_autgroup(c5)) | v1_funct_2(k2_funct_1(A),u1_struct_0(c5),u1_struct_0(c5)). [resolve(100,b,94,a)].
% 0.78/1.08 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k1_autgroup(c9)) | v1_funct_2(k2_funct_1(A),u1_struct_0(c9),u1_struct_0(c9)). [resolve(100,b,95,a)].
% 0.78/1.08 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k1_autgroup(c12)) | v1_funct_2(k2_funct_1(A),u1_struct_0(c12),u1_struct_0(c12)). [resolve(100,b,96,a)].
% 0.78/1.08 101 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),k1_autgroup(A)) | v1_group_6(k2_funct_1(B),A,A) # label(t6_autgroup) # label(axiom). [clausify(63)].
% 0.78/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -l1_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)),k1_autgroup(g1_group_1(A,B))) | v1_group_6(k2_funct_1(C),g1_group_1(A,B),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(101,b,69,d)].
% 0.78/1.08 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k1_autgroup(c5)) | v1_group_6(k2_funct_1(A),c5,c5). [resolve(101,b,94,a)].
% 0.78/1.08 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k1_autgroup(c9)) | v1_group_6(k2_funct_1(A),c9,c9). [resolve(101,b,95,a)].
% 0.78/1.08 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k1_autgroup(c12)) | v1_group_6(k2_funct_1(A),c12,c12). [resolve(101,b,96,a)].
% 0.78/1.08 102 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),k1_autgroup(A)) | m2_relset_1(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A)) # label(t6_autgroup) # label(axiom). [clausify(63)].
% 0.78/1.08 Derived: v3_struct_0(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -l1_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)),k1_autgroup(g1_group_1(A,B))) | m2_relset_1(k2_funct_1(C),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(102,b,69,d)].
% 0.78/1.08 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -l1_group_1(c5) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k1_autgroup(c5)) | m2_relset_1(k2_funct_1(A),u1_struct_0(c5),u1_struct_0(c5)). [resolve(102,b,94,a)].
% 0.78/1.08 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -l1_group_1(c9) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k1_autgroup(c9)) | m2_relset_1(k2_funct_1(A),u1_struct_0(c9),u1_struct_0(c9)). [resolve(102,b,95,a)].
% 0.78/1.08 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -l1_group_1(c12) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k1_autgroup(c12)) | m2_relset_1(k2_funct_1(A),u1_struct_0(c12),u1_struct_0(c12)). [resolve(102,b,96,a)].
% 0.78/1.08 103 v1_group_1(c14) # label(t7_autgroup) # label(negated_conjecture). [clausify(68)].
% 0.78/1.08 Derived: -l1_group_1(c14) | g1_group_1(u1_struct_0(c14),u1_group_1(c14)) = c14. [resolve(103,a,70,b)].
% 0.78/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),A) | v1_funct_1(B). [resolve(103,a,71,b)].
% 0.78/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),A) | v1_funct_2(B,u1_struct_0(c14),u1_struct_0(c14)). [resolve(103,a,72,b)].
% 0.78/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),A) | v1_group_6(B,c14,c14). [resolve(103,a,73,b)].
% 0.78/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),A) | m2_relset_1(B,u1_struct_0(c14),u1_struct_0(c14)). [resolve(103,a,74,b)].
% 0.78/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) != A | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(B,c14,c14) | -m2_relset_1(B,u1_struct_0(c14),u1_struct_0(c14)) | -r2_hidden(B,A) | v2_funct_1(B). [resolve(103,a,75,b)].
% 0.78/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) != A | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(B,c14,c14) | -m2_relset_1(B,u1_struct_0(c14),u1_struct_0(c14)) | -r2_hidden(B,A) | v3_group_6(B,c14,c14). [resolve(103,a,76,b)].
% 0.78/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) != A | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(B,c14,c14) | -m2_relset_1(B,u1_struct_0(c14),u1_struct_0(c14)) | r2_hidden(B,A) | -v2_funct_1(B) | -v3_group_6(B,c14,c14). [resolve(103,a,77,b)].
% 0.78/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) = A | m2_fraenkel(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14),A) | v1_funct_1(f2(c14,A)). [resolve(103,a,78,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) = A | m2_fraenkel(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14),A) | v1_funct_2(f2(c14,A),u1_struct_0(c14),u1_struct_0(c14)). [resolve(103,a,79,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) = A | m2_fraenkel(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14),A) | v1_group_6(f2(c14,A),c14,c14). [resolve(103,a,80,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) = A | m2_fraenkel(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14),A) | m2_relset_1(f2(c14,A),u1_struct_0(c14),u1_struct_0(c14)). [resolve(103,a,81,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) = A | m2_fraenkel(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14),A) | r2_hidden(f2(c14,A),A) | v2_funct_1(f2(c14,A)). [resolve(103,a,82,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) = A | m2_fraenkel(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14),A) | r2_hidden(f2(c14,A),A) | v3_group_6(f2(c14,A),c14,c14). [resolve(103,a,83,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) = A | m2_fraenkel(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14),A) | -r2_hidden(f2(c14,A),A) | -v2_funct_1(f2(c14,A)) | -v3_group_6(f2(c14,A),c14,c14). [resolve(103,a,84,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) = A | -v1_funct_1(f1(c14,A)) | -v1_funct_2(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(f1(c14,A),c14,c14) | -m2_relset_1(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14)) | v1_funct_1(f2(c14,A)). [resolve(103,a,85,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) = A | -v1_funct_1(f1(c14,A)) | -v1_funct_2(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(f1(c14,A),c14,c14) | -m2_relset_1(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14)) | v1_funct_2(f2(c14,A),u1_struct_0(c14),u1_struct_0(c14)). [resolve(103,a,86,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) = A | -v1_funct_1(f1(c14,A)) | -v1_funct_2(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(f1(c14,A),c14,c14) | -m2_relset_1(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14)) | v1_group_6(f2(c14,A),c14,c14). [resolve(103,a,87,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) = A | -v1_funct_1(f1(c14,A)) | -v1_funct_2(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(f1(c14,A),c14,c14) | -m2_relset_1(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14)) | m2_relset_1(f2(c14,A),u1_struct_0(c14),u1_struct_0(c14)). [resolve(103,a,88,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) = A | -v1_funct_1(f1(c14,A)) | -v1_funct_2(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(f1(c14,A),c14,c14) | -m2_relset_1(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14)) | r2_hidden(f2(c14,A),A) | v2_funct_1(f2(c14,A)). [resolve(103,a,89,b)].
% 0.82/1.08 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) = A | -v1_funct_1(f1(c14,A)) | -v1_funct_2(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(f1(c14,A),c14,c14) | -m2_relset_1(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14)) | r2_hidden(f2(c14,A),A) | v3_group_6(f2(c14,A),c14,c14). [resolve(103,a,90,b)].
% 0.82/1.12 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) = A | -v1_funct_1(f1(c14,A)) | -v1_funct_2(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(f1(c14,A),c14,c14) | -m2_relset_1(f1(c14,A),u1_struct_0(c14),u1_struct_0(c14)) | -r2_hidden(f2(c14,A),A) | -v2_funct_1(f2(c14,A)) | -v3_group_6(f2(c14,A),c14,c14). [resolve(103,a,91,b)].
% 0.82/1.12 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | m1_fraenkel(k1_autgroup(c14),u1_struct_0(c14),u1_struct_0(c14)). [resolve(103,a,92,b)].
% 0.82/1.12 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -v1_funct_1(A) | -v1_funct_2(A,u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(A,c14,c14) | -m2_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)) | -r2_hidden(A,k1_autgroup(c14)) | v4_group_6(A,c14,c14). [resolve(103,a,97,b)].
% 0.82/1.12 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -v1_funct_1(A) | -v1_funct_2(A,u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(A,c14,c14) | -m2_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)) | r2_hidden(A,k1_autgroup(c14)) | -v4_group_6(A,c14,c14). [resolve(103,a,98,b)].
% 0.82/1.12 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | v1_funct_1(k2_funct_1(A)). [resolve(103,a,99,b)].
% 0.82/1.12 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | v1_funct_2(k2_funct_1(A),u1_struct_0(c14),u1_struct_0(c14)). [resolve(103,a,100,b)].
% 0.82/1.12 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | v1_group_6(k2_funct_1(A),c14,c14). [resolve(103,a,101,b)].
% 0.82/1.12 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | m2_relset_1(k2_funct_1(A),u1_struct_0(c14),u1_struct_0(c14)). [resolve(103,a,102,b)].
% 0.82/1.12 104 -m1_fraenkel(A,B,C) | v1_fraenkel(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(22)].
% 0.82/1.12 105 -v1_fraenkel(A) | -m1_subset_1(B,A) | v1_relat_1(B) # label(cc1_fraenkel) # label(axiom). [clausify(3)].
% 0.82/1.12 106 -v1_fraenkel(A) | -m1_subset_1(B,A) | v1_funct_1(B) # label(cc1_fraenkel) # label(axiom). [clausify(3)].
% 0.82/1.12 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_relat_1(D). [resolve(104,b,105,a)].
% 0.82/1.12 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_funct_1(D). [resolve(104,b,106,a)].
% 0.82/1.12 107 v1_fraenkel(c3) # label(rc1_fraenkel) # label(axiom). [clausify(39)].
% 0.82/1.12 Derived: -m1_subset_1(A,c3) | v1_relat_1(A). [resolve(107,a,105,a)].
% 0.82/1.12 Derived: -m1_subset_1(A,c3) | v1_funct_1(A). [resolve(107,a,106,a)].
% 0.82/1.12 108 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)].
% 0.82/1.12 109 -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)].
% 0.82/1.12 110 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)].
% 0.82/1.12 111 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | v1_partfun1(f9(A,B),u1_struct_0(A),u1_struct_0(B)) # label(rc2_group_6) # label(axiom). [clausify(47)].
% 0.82/1.12 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -m1_relset_1(f9(A,B),u1_struct_0(A),u1_struct_0(B)) | -v1_funct_1(f9(A,B)) | v1_funct_2(f9(A,B),u1_struct_0(A),u1_struct_0(B)). [resolve(111,i,109,c)].
% 0.90/1.20 112 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_1(C) | -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) | -v1_group_6(C,A,B) | -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) | v2_group_6(C,A,B) | -v2_funct_1(C) # label(d12_group_6) # label(axiom). [clausify(11)].
% 0.90/1.20 113 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_1(C) | -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) | -v1_group_6(C,A,B) | -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) | -v2_group_6(C,A,B) | v2_funct_1(C) # label(d12_group_6) # label(axiom). [clausify(11)].
% 0.90/1.20 114 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_1(C) | -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) | -v1_group_6(C,A,B) | -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) | -v4_group_6(C,A,B) | v2_group_6(C,A,B) # label(d14_group_6) # label(axiom). [clausify(12)].
% 0.90/1.20 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_1(C) | -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) | -v1_group_6(C,A,B) | -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) | -v4_group_6(C,A,B) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_1(C) | -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) | -v1_group_6(C,A,B) | -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) | v2_funct_1(C). [resolve(114,n,113,m)].
% 0.90/1.20 115 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_1(C) | -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) | -v1_group_6(C,A,B) | -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) | v4_group_6(C,A,B) | -v3_group_6(C,A,B) | -v2_group_6(C,A,B) # label(d14_group_6) # label(axiom). [clausify(12)].
% 0.90/1.20 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_1(C) | -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) | -v1_group_6(C,A,B) | -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) | v4_group_6(C,A,B) | -v3_group_6(C,A,B) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_1(C) | -v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) | -v1_group_6(C,A,B) | -m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) | -v2_funct_1(C). [resolve(115,o,112,m)].
% 0.90/1.20 116 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(37)].
% 0.90/1.20 117 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(20)].
% 0.90/1.20 118 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(30)].
% 0.90/1.20 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_group_1(A). [resolve(116,b,117,b)].
% 0.90/1.20 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(116,b,118,a)].
% 0.90/1.20 119 l1_struct_0(c13) # label(rc3_struct_0) # label(axiom). [clausify(52)].
% 0.90/1.20 Derived: v3_struct_0(c13) | -v1_xboole_0(u1_struct_0(c13)). [resolve(119,a,116,b)].
% 0.90/1.20 120 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(53)].
% 0.90/1.20 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_group_1(A). [resolve(120,b,117,b)].
% 0.90/1.20 Derived: v3_struct_0(c2) | m1_subset_1(f11(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(120,b,118,a)].
% 0.90/1.20 Derived: v3_struct_0(c13) | m1_subset_1(f11(c13),k1_zfmisc_1(u1_struct_0(c13))). [resolve(120,b,119,a)].
% 0.90/1.20 121 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f11(A)) # label(rc5_struct_0) # label(axiom). [clausify(53)].
% 0.90/1.20 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l1_group_1(A). [resolve(121,b,117,b)].
% 1.20/1.52 Derived: v3_struct_0(c2) | -v1_xboole_0(f11(c2)). [resolve(121,b,118,a)].
% 1.20/1.52 Derived: v3_struct_0(c13) | -v1_xboole_0(f11(c13)). [resolve(121,b,119,a)].
% 1.20/1.52 122 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(59)].
% 1.20/1.52 123 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(56)].
% 1.20/1.52 124 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(59)].
% 1.20/1.52 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(122,b,123,a)].
% 1.20/1.52
% 1.20/1.52 ============================== end predicate elimination =============
% 1.20/1.52
% 1.20/1.52 Auto_denials: (non-Horn, no changes).
% 1.20/1.52
% 1.20/1.52 Term ordering decisions:
% 1.20/1.52 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. g1_group_1=1. k2_zfmisc_1=1. f1=1. f2=1. f3=1. f4=1. f7=1. f8=1. f9=1. f10=1. u1_struct_0=1. k1_autgroup=1. k2_funct_1=1. u1_group_1=1. k1_zfmisc_1=1. f5=1. f11=1. f6=1.
% 1.20/1.52
% 1.20/1.52 ============================== end of process initial clauses ========
% 1.20/1.52
% 1.20/1.52 ============================== CLAUSES FOR SEARCH ====================
% 1.20/1.52
% 1.20/1.52 ============================== end of clauses for search =============
% 1.20/1.52
% 1.20/1.52 ============================== SEARCH ================================
% 1.20/1.52
% 1.20/1.52 % Starting search at 0.20 seconds.
% 1.20/1.52
% 1.20/1.52 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 38 (0.00 of 0.27 sec).
% 1.20/1.52
% 1.20/1.52 ============================== PROOF =================================
% 1.20/1.52 % SZS status Theorem
% 1.20/1.52 % SZS output start Refutation
% 1.20/1.52
% 1.20/1.52 % Proof 1 at 0.48 (+ 0.01) seconds.
% 1.20/1.52 % Length of proof is 82.
% 1.20/1.52 % Level of proof is 12.
% 1.20/1.52 % Maximum clause weight is 64.000.
% 1.20/1.52 % Given clauses 1267.
% 1.20/1.52
% 1.20/1.52 13 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) -> (B = k1_autgroup(A) <-> (all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),B) -> v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v1_group_6(C,A,A) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)))) & (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) & v1_group_6(C,A,A) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) -> (r2_hidden(C,B) <-> v2_funct_1(C) & v3_group_6(C,A,A))))))))) # label(d1_autgroup) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.52 15 (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].
% 1.20/1.52 20 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.52 22 (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].
% 1.20/1.52 37 (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].
% 1.20/1.52 54 (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].
% 1.20/1.52 57 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.52 58 (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].
% 1.20/1.52 61 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) & v1_group_6(B,A,A) & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) -> (r2_hidden(B,k1_autgroup(A)) <-> v4_group_6(B,A,A)))))) # label(t5_autgroup) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.52 63 (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),k1_autgroup(A)) -> v1_funct_1(k2_funct_1(B)) & v1_funct_2(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A)) & v1_group_6(k2_funct_1(B),A,A) & m2_relset_1(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A)))))) # label(t6_autgroup) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.52 65 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) & v1_group_6(C,B,A) & m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(D,A,B) & m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) -> (v4_group_6(C,B,A) & D = k2_funct_1(C) -> v4_group_6(D,A,B)))))))))) # label(t73_group_6) # label(axiom) # label(non_clause). [assumption].
% 1.20/1.52 68 -(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),k1_autgroup(A)) -> m2_fraenkel(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)))))) # label(t7_autgroup) # label(negated_conjecture) # label(non_clause). [assumption].
% 1.20/1.52 71 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) != B | -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),B) | v1_funct_1(C) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 1.20/1.52 72 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) != B | -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),B) | v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 1.20/1.52 73 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) != B | -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),B) | v1_group_6(C,A,A) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 1.20/1.52 74 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k1_autgroup(A) != B | -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),B) | m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) # label(d1_autgroup) # label(axiom). [clausify(13)].
% 1.20/1.52 92 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(15)].
% 1.20/1.52 97 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(B,A,A) | -m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) | -r2_hidden(B,k1_autgroup(A)) | v4_group_6(B,A,A) # label(t5_autgroup) # label(axiom). [clausify(61)].
% 1.20/1.52 98 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(B,A,A) | -m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) | r2_hidden(B,k1_autgroup(A)) | -v4_group_6(B,A,A) # label(t5_autgroup) # label(axiom). [clausify(61)].
% 1.20/1.52 99 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),k1_autgroup(A)) | v1_funct_1(k2_funct_1(B)) # label(t6_autgroup) # label(axiom). [clausify(63)].
% 1.20/1.52 100 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),k1_autgroup(A)) | v1_funct_2(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A)) # label(t6_autgroup) # label(axiom). [clausify(63)].
% 1.20/1.52 101 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),k1_autgroup(A)) | v1_group_6(k2_funct_1(B),A,A) # label(t6_autgroup) # label(axiom). [clausify(63)].
% 1.20/1.52 102 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),k1_autgroup(A)) | m2_relset_1(k2_funct_1(B),u1_struct_0(A),u1_struct_0(A)) # label(t6_autgroup) # label(axiom). [clausify(63)].
% 1.20/1.52 103 v1_group_1(c14) # label(t7_autgroup) # label(negated_conjecture). [clausify(68)].
% 1.20/1.52 116 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(37)].
% 1.20/1.52 117 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(20)].
% 1.20/1.52 134 -m1_fraenkel(A,B,C) | -v1_xboole_0(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(22)].
% 1.20/1.52 188 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(54)].
% 1.20/1.52 189 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(54)].
% 1.20/1.52 192 -r2_hidden(A,B) | m1_subset_1(A,B) # label(t1_subset) # label(axiom). [clausify(57)].
% 1.20/1.52 193 -m1_subset_1(A,B) | v1_xboole_0(B) | r2_hidden(A,B) # label(t2_subset) # label(axiom). [clausify(58)].
% 1.20/1.52 197 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_1(C) | -v1_funct_2(C,u1_struct_0(B),u1_struct_0(A)) | -v1_group_6(C,B,A) | -m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) | -v1_funct_1(D) | -v1_funct_2(D,u1_struct_0(A),u1_struct_0(B)) | -v1_group_6(D,A,B) | -m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) | -v4_group_6(C,B,A) | k2_funct_1(C) != D | v4_group_6(D,A,B) # label(t73_group_6) # label(axiom). [clausify(65)].
% 1.20/1.52 200 -v3_struct_0(c14) # label(t7_autgroup) # label(negated_conjecture). [clausify(68)].
% 1.20/1.52 201 v3_group_1(c14) # label(t7_autgroup) # label(negated_conjecture). [clausify(68)].
% 1.20/1.52 202 v4_group_1(c14) # label(t7_autgroup) # label(negated_conjecture). [clausify(68)].
% 1.20/1.52 203 l1_group_1(c14) # label(t7_autgroup) # label(negated_conjecture). [clausify(68)].
% 1.20/1.52 204 m2_fraenkel(c15,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) # label(t7_autgroup) # label(negated_conjecture). [clausify(68)].
% 1.20/1.52 205 -m2_fraenkel(k2_funct_1(c15),u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) # label(t7_autgroup) # label(negated_conjecture). [clausify(68)].
% 1.20/1.52 411 v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),A) | v1_funct_1(B). [resolve(103,a,71,b)].
% 1.20/1.52 412 -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),A) | v1_funct_1(B). [copy(411),unit_del(a,200),unit_del(b,201),unit_del(c,202),unit_del(d,203)].
% 1.20/1.52 413 v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),A) | v1_funct_2(B,u1_struct_0(c14),u1_struct_0(c14)). [resolve(103,a,72,b)].
% 1.20/1.52 414 -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),A) | v1_funct_2(B,u1_struct_0(c14),u1_struct_0(c14)). [copy(413),unit_del(a,200),unit_del(b,201),unit_del(c,202),unit_del(d,203)].
% 1.20/1.52 415 v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),A) | v1_group_6(B,c14,c14). [resolve(103,a,73,b)].
% 1.20/1.52 416 -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),A) | v1_group_6(B,c14,c14). [copy(415),unit_del(a,200),unit_del(b,201),unit_del(c,202),unit_del(d,203)].
% 1.20/1.52 417 v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),A) | m2_relset_1(B,u1_struct_0(c14),u1_struct_0(c14)). [resolve(103,a,74,b)].
% 1.20/1.52 418 -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k1_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),A) | m2_relset_1(B,u1_struct_0(c14),u1_struct_0(c14)). [copy(417),unit_del(a,200),unit_del(b,201),unit_del(c,202),unit_del(d,203)].
% 1.20/1.52 453 v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | m1_fraenkel(k1_autgroup(c14),u1_struct_0(c14),u1_struct_0(c14)). [resolve(103,a,92,b)].
% 1.20/1.52 454 m1_fraenkel(k1_autgroup(c14),u1_struct_0(c14),u1_struct_0(c14)). [copy(453),unit_del(a,200),unit_del(b,201),unit_del(c,202),unit_del(d,203)].
% 1.20/1.52 455 v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -v1_funct_1(A) | -v1_funct_2(A,u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(A,c14,c14) | -m2_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)) | -r2_hidden(A,k1_autgroup(c14)) | v4_group_6(A,c14,c14). [resolve(103,a,97,b)].
% 1.20/1.52 456 -v1_funct_1(A) | -v1_funct_2(A,u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(A,c14,c14) | -m2_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)) | -r2_hidden(A,k1_autgroup(c14)) | v4_group_6(A,c14,c14). [copy(455),unit_del(a,200),unit_del(b,201),unit_del(c,202),unit_del(d,203)].
% 1.20/1.52 457 v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -v1_funct_1(A) | -v1_funct_2(A,u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(A,c14,c14) | -m2_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)) | r2_hidden(A,k1_autgroup(c14)) | -v4_group_6(A,c14,c14). [resolve(103,a,98,b)].
% 1.20/1.52 458 -v1_funct_1(A) | -v1_funct_2(A,u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(A,c14,c14) | -m2_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)) | r2_hidden(A,k1_autgroup(c14)) | -v4_group_6(A,c14,c14). [copy(457),unit_del(a,200),unit_del(b,201),unit_del(c,202),unit_del(d,203)].
% 1.20/1.52 459 v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | v1_funct_1(k2_funct_1(A)). [resolve(103,a,99,b)].
% 1.20/1.52 460 -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | v1_funct_1(k2_funct_1(A)). [copy(459),unit_del(a,200),unit_del(b,201),unit_del(c,202),unit_del(d,203)].
% 1.20/1.52 461 v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | v1_funct_2(k2_funct_1(A),u1_struct_0(c14),u1_struct_0(c14)). [resolve(103,a,100,b)].
% 1.20/1.52 462 -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | v1_funct_2(k2_funct_1(A),u1_struct_0(c14),u1_struct_0(c14)). [copy(461),unit_del(a,200),unit_del(b,201),unit_del(c,202),unit_del(d,203)].
% 1.20/1.52 463 v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | v1_group_6(k2_funct_1(A),c14,c14). [resolve(103,a,101,b)].
% 1.20/1.52 464 -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | v1_group_6(k2_funct_1(A),c14,c14). [copy(463),unit_del(a,200),unit_del(b,201),unit_del(c,202),unit_del(d,203)].
% 1.20/1.52 465 v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -l1_group_1(c14) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | m2_relset_1(k2_funct_1(A),u1_struct_0(c14),u1_struct_0(c14)). [resolve(103,a,102,b)].
% 1.20/1.52 466 -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)) | m2_relset_1(k2_funct_1(A),u1_struct_0(c14),u1_struct_0(c14)). [copy(465),unit_del(a,200),unit_del(b,201),unit_del(c,202),unit_del(d,203)].
% 1.20/1.52 475 v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_group_1(A). [resolve(116,b,117,b)].
% 1.20/1.52 497 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(B,A,A) | -m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) | -v1_funct_1(C) | -v1_funct_2(C,u1_struct_0(A),u1_struct_0(A)) | -v1_group_6(C,A,A) | -m2_relset_1(C,u1_struct_0(A),u1_struct_0(A)) | -v4_group_6(B,A,A) | k2_funct_1(B) != C | v4_group_6(C,A,A). [factor(197,a,e),merge(e),merge(f),merge(g)].
% 1.20/1.52 596 v1_xboole_0(u1_struct_0(c14)) | m1_subset_1(c15,k1_autgroup(c14)). [resolve(204,a,188,c),unit_del(b,454)].
% 1.20/1.52 675 v1_funct_1(c15). [resolve(412,c,204,a),xx(b),unit_del(a,454)].
% 1.20/1.52 676 v1_funct_2(c15,u1_struct_0(c14),u1_struct_0(c14)). [resolve(414,c,204,a),xx(b),unit_del(a,454)].
% 1.20/1.52 677 v1_group_6(c15,c14,c14). [resolve(416,c,204,a),xx(b),unit_del(a,454)].
% 1.20/1.52 678 m2_relset_1(c15,u1_struct_0(c14),u1_struct_0(c14)). [resolve(418,c,204,a),xx(b),unit_del(a,454)].
% 1.20/1.52 685 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(454,a,189,b)].
% 1.20/1.52 687 -v1_xboole_0(k1_autgroup(c14)). [resolve(454,a,134,a)].
% 1.20/1.52 688 v1_funct_1(k2_funct_1(c15)). [resolve(460,a,204,a)].
% 1.20/1.52 689 v1_funct_2(k2_funct_1(c15),u1_struct_0(c14),u1_struct_0(c14)). [resolve(462,a,204,a)].
% 1.20/1.52 690 v1_group_6(k2_funct_1(c15),c14,c14). [resolve(464,a,204,a)].
% 1.20/1.52 691 m2_relset_1(k2_funct_1(c15),u1_struct_0(c14),u1_struct_0(c14)). [resolve(466,a,204,a)].
% 1.20/1.52 752 -r2_hidden(c15,k1_autgroup(c14)) | v4_group_6(c15,c14,c14). [resolve(677,a,456,c),unit_del(a,675),unit_del(b,676),unit_del(c,678)].
% 1.20/1.52 969 v1_xboole_0(u1_struct_0(c14)) | r2_hidden(c15,k1_autgroup(c14)). [resolve(596,b,193,a),unit_del(b,687)].
% 1.20/1.52 1084 v4_group_6(c15,c14,c14) | v1_xboole_0(u1_struct_0(c14)). [resolve(752,a,969,b)].
% 1.20/1.52 1086 v1_xboole_0(u1_struct_0(c14)) | -v1_funct_1(A) | -v1_funct_2(A,u1_struct_0(c14),u1_struct_0(c14)) | -v1_group_6(A,c14,c14) | -m2_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)) | k2_funct_1(c15) != A | v4_group_6(A,c14,c14). [resolve(1084,a,497,m),unit_del(b,200),unit_del(c,201),unit_del(d,202),unit_del(e,203),unit_del(f,675),unit_del(g,676),unit_del(h,677),unit_del(i,678)].
% 1.20/1.52 2372 v1_xboole_0(u1_struct_0(c14)) | v4_group_6(k2_funct_1(c15),c14,c14). [resolve(1086,d,690,a),xx(e),unit_del(b,688),unit_del(c,689),unit_del(d,691)].
% 1.20/1.52 2376 v1_xboole_0(u1_struct_0(c14)) | r2_hidden(k2_funct_1(c15),k1_autgroup(c14)). [resolve(2372,b,458,f),unit_del(b,688),unit_del(c,689),unit_del(d,690),unit_del(e,691)].
% 1.20/1.52 2385 v1_xboole_0(u1_struct_0(c14)) | m1_subset_1(k2_funct_1(c15),k1_autgroup(c14)). [resolve(2376,b,192,a)].
% 1.20/1.52 2387 v1_xboole_0(u1_struct_0(c14)). [resolve(2385,b,685,c),merge(b),unit_del(b,205)].
% 1.20/1.52 2395 $F. [resolve(2387,a,475,b),unit_del(a,200),unit_del(b,203)].
% 1.20/1.52
% 1.20/1.52 % SZS output end Refutation
% 1.20/1.52 ============================== end of proof ==========================
% 1.20/1.52
% 1.20/1.52 ============================== STATISTICS ============================
% 1.20/1.52
% 1.20/1.52 Given=1267. Generated=3101. Kept=2149. proofs=1.
% 1.20/1.52 Usable=1254. Sos=783. Demods=11. Limbo=4, Disabled=409. Hints=0.
% 1.20/1.52 Megabytes=5.09.
% 1.20/1.52 User_CPU=0.48, System_CPU=0.01, Wall_clock=1.
% 1.20/1.52
% 1.20/1.52 ============================== end of statistics =====================
% 1.20/1.52
% 1.20/1.52 ============================== end of search =========================
% 1.20/1.52
% 1.20/1.52 THEOREM PROVED
% 1.20/1.52 % SZS status Theorem
% 1.20/1.52
% 1.20/1.52 Exiting with 1 proof.
% 1.20/1.52
% 1.20/1.52 Process 22112 exit (max_proofs) Mon Jun 13 15:30:10 2022
% 1.20/1.52 Prover9 interrupted
%------------------------------------------------------------------------------