TSTP Solution File: GRP622+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP622+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n022.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 11:19:55 EDT 2022
% Result : Theorem 107.60s 107.91s
% Output : Refutation 107.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP622+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 04:49:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.05 ============================== Prover9 ===============================
% 0.46/1.05 Prover9 (32) version 2009-11A, November 2009.
% 0.46/1.05 Process 30283 was started by sandbox2 on n022.cluster.edu,
% 0.46/1.05 Tue Jun 14 04:49:34 2022
% 0.46/1.05 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_30117_n022.cluster.edu".
% 0.46/1.05 ============================== end of head ===========================
% 0.46/1.05
% 0.46/1.05 ============================== INPUT =================================
% 0.46/1.05
% 0.46/1.05 % Reading from file /tmp/Prover9_30117_n022.cluster.edu
% 0.46/1.05
% 0.46/1.05 set(prolog_style_variables).
% 0.46/1.05 set(auto2).
% 0.46/1.05 % set(auto2) -> set(auto).
% 0.46/1.05 % set(auto) -> set(auto_inference).
% 0.46/1.05 % set(auto) -> set(auto_setup).
% 0.46/1.05 % set(auto_setup) -> set(predicate_elim).
% 0.46/1.05 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.46/1.05 % set(auto) -> set(auto_limits).
% 0.46/1.05 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.46/1.05 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.46/1.05 % set(auto) -> set(auto_denials).
% 0.46/1.05 % set(auto) -> set(auto_process).
% 0.46/1.05 % set(auto2) -> assign(new_constants, 1).
% 0.46/1.05 % set(auto2) -> assign(fold_denial_max, 3).
% 0.46/1.05 % set(auto2) -> assign(max_weight, "200.000").
% 0.46/1.05 % set(auto2) -> assign(max_hours, 1).
% 0.46/1.05 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.46/1.05 % set(auto2) -> assign(max_seconds, 0).
% 0.46/1.05 % set(auto2) -> assign(max_minutes, 5).
% 0.46/1.05 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.46/1.05 % set(auto2) -> set(sort_initial_sos).
% 0.46/1.05 % set(auto2) -> assign(sos_limit, -1).
% 0.46/1.05 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.46/1.05 % set(auto2) -> assign(max_megs, 400).
% 0.46/1.05 % set(auto2) -> assign(stats, some).
% 0.46/1.05 % set(auto2) -> clear(echo_input).
% 0.46/1.05 % set(auto2) -> set(quiet).
% 0.46/1.05 % set(auto2) -> clear(print_initial_clauses).
% 0.46/1.05 % set(auto2) -> clear(print_given).
% 0.46/1.05 assign(lrs_ticks,-1).
% 0.46/1.05 assign(sos_limit,10000).
% 0.46/1.05 assign(order,kbo).
% 0.46/1.05 set(lex_order_vars).
% 0.46/1.05 clear(print_given).
% 0.46/1.05
% 0.46/1.05 % formulas(sos). % not echoed (69 formulas)
% 0.46/1.05
% 0.46/1.05 ============================== end of input ==========================
% 0.46/1.05
% 0.46/1.05 % From the command line: assign(max_seconds, 300).
% 0.46/1.05
% 0.46/1.05 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.46/1.05
% 0.46/1.05 % Formulas that are not ordinary clauses:
% 0.46/1.05 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].
% 0.46/1.05 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 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].
% 0.46/1.05 4 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 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].
% 0.46/1.05 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].
% 0.46/1.05 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].
% 0.46/1.05 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].
% 0.46/1.05 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].
% 0.46/1.05 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].
% 0.46/1.05 11 (all A all B (r1_tarski(A,B) <-> (all C (r2_hidden(C,A) -> r2_hidden(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 12 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> v1_group_1(g1_group_1(A,B)) & l1_group_1(g1_group_1(A,B)))) # label(dt_g1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 13 (all A all B (-v1_xboole_0(B) -> m1_fraenkel(k1_fraenkel(A,B),A,B))) # label(dt_k1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 14 $T # label(dt_k1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 15 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 16 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 17 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 18 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k4_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 19 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 20 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 21 (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].
% 0.46/1.05 22 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 23 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 24 (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].
% 0.46/1.05 25 (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].
% 0.46/1.05 26 (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].
% 0.46/1.05 27 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 28 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 29 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 30 (all A all B exists C m1_fraenkel(C,A,B)) # label(existence_m1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 31 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 32 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 33 (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].
% 0.46/1.05 34 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 35 (all A all B v1_fraenkel(k1_funct_2(A,B))) # label(fc1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 36 (all A all B (-v1_xboole_0(B) -> -v1_xboole_0(k1_funct_2(A,B)))) # label(fc1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 37 (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].
% 0.46/1.05 38 (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].
% 0.46/1.05 39 (all A -v1_xboole_0(k1_funct_2(A,A))) # label(fc2_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 40 (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].
% 0.46/1.05 41 (exists A (-v1_xboole_0(A) & v1_fraenkel(A))) # label(rc1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 42 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 43 (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].
% 0.46/1.05 44 (exists A (l1_group_1(A) & v1_group_1(A))) # label(rc1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 45 (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].
% 0.46/1.05 46 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 47 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 48 (exists A (l1_group_1(A) & -v3_struct_0(A) & v1_group_1(A))) # label(rc2_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 49 (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].
% 0.46/1.05 50 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 51 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 52 (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].
% 0.46/1.05 53 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 54 (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].
% 0.46/1.05 55 (all A all B (-v1_xboole_0(B) -> k1_fraenkel(A,B) = k1_funct_2(A,B))) # label(redefinition_k1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 56 (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].
% 0.46/1.05 57 (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].
% 0.46/1.05 58 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 59 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> r2_hidden(B,k1_funct_2(A,A)))) # label(t12_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 60 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 61 (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].
% 0.46/1.05 62 (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].
% 0.46/1.05 63 (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].
% 0.46/1.05 64 (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].
% 0.46/1.05 65 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 66 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 67 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.05 68 -(all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> r1_tarski(k4_autgroup(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))))) # label(t12_autgroup) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.46/1.05
% 0.46/1.05 ============================== end of process non-clausal formulas ===
% 0.46/1.05
% 0.46/1.05 ============================== PROCESS INITIAL CLAUSES ===============
% 0.46/1.05
% 0.46/1.05 ============================== PREDICATE ELIMINATION =================
% 0.46/1.05 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) | l1_group_1(g1_group_1(B,A)) # label(dt_g1_group_1) # label(axiom). [clausify(12)].
% 0.46/1.05 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)].
% 0.46/1.05 71 -l1_group_1(A) | v3_struct_0(A) | -v3_group_1(A) | v2_group_1(A) # label(cc1_group_1) # label(axiom). [clausify(6)].
% 0.46/1.05 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_group_1(g1_group_1(B,A)) | g1_group_1(u1_struct_0(g1_group_1(B,A)),u1_group_1(g1_group_1(B,A))) = g1_group_1(B,A). [resolve(69,d,70,a)].
% 0.46/1.05 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | v3_struct_0(g1_group_1(B,A)) | -v3_group_1(g1_group_1(B,A)) | v2_group_1(g1_group_1(B,A)). [resolve(69,d,71,a)].
% 0.46/1.05 72 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)) # label(dt_k4_autgroup) # label(axiom). [clausify(18)].
% 0.46/1.05 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | m1_fraenkel(k4_autgroup(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(72,e,69,d)].
% 0.46/1.05 73 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(19)].
% 0.46/1.05 Derived: l1_struct_0(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(73,a,69,d)].
% 0.46/1.05 74 -l1_group_1(A) | v1_funct_1(u1_group_1(A)) # label(dt_u1_group_1) # label(axiom). [clausify(26)].
% 0.46/1.05 Derived: v1_funct_1(u1_group_1(g1_group_1(A,B))) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(74,a,69,d)].
% 0.46/1.05 75 -l1_group_1(A) | v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u1_group_1) # label(axiom). [clausify(26)].
% 0.46/1.05 Derived: v1_funct_2(u1_group_1(g1_group_1(A,B)),k2_zfmisc_1(u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))),u1_struct_0(g1_group_1(A,B))) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(75,a,69,d)].
% 0.46/1.05 76 -l1_group_1(A) | m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u1_group_1) # label(axiom). [clausify(26)].
% 0.46/1.05 Derived: m2_relset_1(u1_group_1(g1_group_1(A,B)),k2_zfmisc_1(u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))),u1_struct_0(g1_group_1(A,B))) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(76,a,69,d)].
% 0.46/1.05 77 l1_group_1(c1) # label(existence_l1_group_1) # label(axiom). [clausify(28)].
% 0.46/1.05 Derived: -v1_group_1(c1) | g1_group_1(u1_struct_0(c1),u1_group_1(c1)) = c1. [resolve(77,a,70,a)].
% 0.46/1.05 Derived: v3_struct_0(c1) | -v3_group_1(c1) | v2_group_1(c1). [resolve(77,a,71,a)].
% 0.46/1.05 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | m1_fraenkel(k4_autgroup(c1),u1_struct_0(c1),u1_struct_0(c1)). [resolve(77,a,72,e)].
% 0.46/1.05 Derived: l1_struct_0(c1). [resolve(77,a,73,a)].
% 0.46/1.05 Derived: v1_funct_1(u1_group_1(c1)). [resolve(77,a,74,a)].
% 0.46/1.05 Derived: v1_funct_2(u1_group_1(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(77,a,75,a)].
% 0.46/1.05 Derived: m2_relset_1(u1_group_1(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(77,a,76,a)].
% 0.46/1.05 78 l1_group_1(c5) # label(rc1_group_1) # label(axiom). [clausify(44)].
% 0.46/1.05 Derived: -v1_group_1(c5) | g1_group_1(u1_struct_0(c5),u1_group_1(c5)) = c5. [resolve(78,a,70,a)].
% 0.46/1.05 Derived: v3_struct_0(c5) | -v3_group_1(c5) | v2_group_1(c5). [resolve(78,a,71,a)].
% 0.46/1.05 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | m1_fraenkel(k4_autgroup(c5),u1_struct_0(c5),u1_struct_0(c5)). [resolve(78,a,72,e)].
% 0.46/1.05 Derived: l1_struct_0(c5). [resolve(78,a,73,a)].
% 0.46/1.05 Derived: v1_funct_1(u1_group_1(c5)). [resolve(78,a,74,a)].
% 0.46/1.05 Derived: v1_funct_2(u1_group_1(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(78,a,75,a)].
% 0.46/1.05 Derived: m2_relset_1(u1_group_1(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(78,a,76,a)].
% 0.46/1.05 79 l1_group_1(c9) # label(rc2_group_1) # label(axiom). [clausify(48)].
% 0.46/1.05 Derived: -v1_group_1(c9) | g1_group_1(u1_struct_0(c9),u1_group_1(c9)) = c9. [resolve(79,a,70,a)].
% 0.46/1.05 Derived: v3_struct_0(c9) | -v3_group_1(c9) | v2_group_1(c9). [resolve(79,a,71,a)].
% 0.46/1.05 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | m1_fraenkel(k4_autgroup(c9),u1_struct_0(c9),u1_struct_0(c9)). [resolve(79,a,72,e)].
% 0.46/1.05 Derived: l1_struct_0(c9). [resolve(79,a,73,a)].
% 0.46/1.05 Derived: v1_funct_1(u1_group_1(c9)). [resolve(79,a,74,a)].
% 0.46/1.05 Derived: v1_funct_2(u1_group_1(c9),k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9)). [resolve(79,a,75,a)].
% 0.46/1.05 Derived: m2_relset_1(u1_group_1(c9),k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9)). [resolve(79,a,76,a)].
% 0.46/1.05 80 l1_group_1(c12) # label(rc3_group_1) # label(axiom). [clausify(52)].
% 0.46/1.05 Derived: -v1_group_1(c12) | g1_group_1(u1_struct_0(c12),u1_group_1(c12)) = c12. [resolve(80,a,70,a)].
% 0.46/1.05 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | m1_fraenkel(k4_autgroup(c12),u1_struct_0(c12),u1_struct_0(c12)). [resolve(80,a,72,e)].
% 0.46/1.05 Derived: l1_struct_0(c12). [resolve(80,a,73,a)].
% 0.46/1.05 Derived: v1_funct_1(u1_group_1(c12)). [resolve(80,a,74,a)].
% 0.46/1.05 Derived: v1_funct_2(u1_group_1(c12),k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12)). [resolve(80,a,75,a)].
% 0.46/1.05 Derived: m2_relset_1(u1_group_1(c12),k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12)). [resolve(80,a,76,a)].
% 0.46/1.05 81 l1_group_1(c14) # label(t12_autgroup) # label(negated_conjecture). [clausify(68)].
% 0.46/1.05 Derived: -v1_group_1(c14) | g1_group_1(u1_struct_0(c14),u1_group_1(c14)) = c14. [resolve(81,a,70,a)].
% 0.46/1.05 Derived: v3_struct_0(c14) | -v3_group_1(c14) | v2_group_1(c14). [resolve(81,a,71,a)].
% 0.46/1.05 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | m1_fraenkel(k4_autgroup(c14),u1_struct_0(c14),u1_struct_0(c14)). [resolve(81,a,72,e)].
% 0.46/1.05 Derived: l1_struct_0(c14). [resolve(81,a,73,a)].
% 0.46/1.05 Derived: v1_funct_1(u1_group_1(c14)). [resolve(81,a,74,a)].
% 0.46/1.05 Derived: v1_funct_2(u1_group_1(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(81,a,75,a)].
% 0.46/1.05 Derived: m2_relset_1(u1_group_1(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(81,a,76,a)].
% 0.46/1.05 82 -m1_fraenkel(A,B,C) | v1_fraenkel(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(21)].
% 0.46/1.05 83 -v1_fraenkel(A) | -m1_subset_1(B,A) | v1_relat_1(B) # label(cc1_fraenkel) # label(axiom). [clausify(3)].
% 0.46/1.05 84 -v1_fraenkel(A) | -m1_subset_1(B,A) | v1_funct_1(B) # label(cc1_fraenkel) # label(axiom). [clausify(3)].
% 0.46/1.05 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_relat_1(D). [resolve(82,b,83,a)].
% 0.46/1.05 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_funct_1(D). [resolve(82,b,84,a)].
% 0.46/1.05 85 v1_fraenkel(k1_funct_2(A,B)) # label(fc1_fraenkel) # label(axiom). [clausify(35)].
% 0.46/1.05 Derived: -m1_subset_1(A,k1_funct_2(B,C)) | v1_relat_1(A). [resolve(85,a,83,a)].
% 0.46/1.05 Derived: -m1_subset_1(A,k1_funct_2(B,C)) | v1_funct_1(A). [resolve(85,a,84,a)].
% 0.46/1.05 86 v1_fraenkel(c3) # label(rc1_fraenkel) # label(axiom). [clausify(41)].
% 0.46/1.05 Derived: -m1_subset_1(A,c3) | v1_relat_1(A). [resolve(86,a,83,a)].
% 0.46/1.05 Derived: -m1_subset_1(A,c3) | v1_funct_1(A). [resolve(86,a,84,a)].
% 0.46/1.05 87 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)].
% 0.46/1.05 88 -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)].
% 0.46/1.05 89 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)].
% 0.46/1.06 90 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(8)].
% 0.46/1.06 91 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(7)].
% 0.46/1.06 Derived: -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(90,a,91,b)].
% 0.46/1.06 92 v1_relat_1(c4) # label(rc1_funct_1) # label(axiom). [clausify(42)].
% 0.46/1.06 Derived: -v1_xboole_0(c4) | -v1_funct_1(c4) | v2_funct_1(c4). [resolve(92,a,90,a)].
% 0.46/1.06 93 v1_relat_1(f7(A,B)) # label(rc1_funct_2) # label(axiom). [clausify(43)].
% 0.46/1.06 Derived: -v1_xboole_0(f7(A,B)) | -v1_funct_1(f7(A,B)) | v2_funct_1(f7(A,B)). [resolve(93,a,90,a)].
% 0.46/1.06 94 v1_relat_1(c6) # label(rc1_partfun1) # label(axiom). [clausify(45)].
% 0.46/1.06 95 v1_relat_1(c8) # label(rc2_funct_1) # label(axiom). [clausify(47)].
% 0.46/1.06 Derived: -v1_xboole_0(c8) | -v1_funct_1(c8) | v2_funct_1(c8). [resolve(95,a,90,a)].
% 0.46/1.06 96 v1_relat_1(f8(A,B)) # label(rc2_partfun1) # label(axiom). [clausify(49)].
% 0.46/1.06 Derived: -v1_xboole_0(f8(A,B)) | -v1_funct_1(f8(A,B)) | v2_funct_1(f8(A,B)). [resolve(96,a,90,a)].
% 0.46/1.06 97 v1_relat_1(c11) # label(rc3_funct_1) # label(axiom). [clausify(51)].
% 0.46/1.06 98 -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_relat_1(D). [resolve(82,b,83,a)].
% 0.46/1.06 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | -v1_xboole_0(D) | -v1_funct_1(D) | v2_funct_1(D). [resolve(98,c,90,a)].
% 0.46/1.06 99 -m1_subset_1(A,k1_funct_2(B,C)) | v1_relat_1(A). [resolve(85,a,83,a)].
% 0.46/1.06 Derived: -m1_subset_1(A,k1_funct_2(B,C)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A). [resolve(99,b,90,a)].
% 0.46/1.06 100 -m1_subset_1(A,c3) | v1_relat_1(A). [resolve(86,a,83,a)].
% 0.46/1.06 Derived: -m1_subset_1(A,c3) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A). [resolve(100,b,90,a)].
% 0.46/1.06 101 -m1_fraenkel(A,B,C) | -v1_xboole_0(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(21)].
% 0.46/1.06 102 v1_xboole_0(A) | m1_fraenkel(k1_fraenkel(B,A),B,A) # label(dt_k1_fraenkel) # label(axiom). [clausify(13)].
% 0.46/1.06 Derived: -v1_xboole_0(k1_fraenkel(A,B)) | v1_xboole_0(B). [resolve(101,a,102,b)].
% 0.46/1.06 103 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | v1_funct_1(D) # label(dt_m2_fraenkel) # label(axiom). [clausify(24)].
% 0.46/1.06 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_funct_1(B) | v1_xboole_0(A). [resolve(103,b,102,b)].
% 0.46/1.06 104 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | v1_funct_2(D,C,A) # label(dt_m2_fraenkel) # label(axiom). [clausify(24)].
% 0.46/1.06 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_funct_2(B,C,A) | v1_xboole_0(A). [resolve(104,b,102,b)].
% 0.46/1.06 105 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | m2_relset_1(D,C,A) # label(dt_m2_fraenkel) # label(axiom). [clausify(24)].
% 0.46/1.06 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | m2_relset_1(B,C,A) | v1_xboole_0(A). [resolve(105,b,102,b)].
% 0.46/1.06 106 m1_fraenkel(f2(A,B),A,B) # label(existence_m1_fraenkel) # label(axiom). [clausify(30)].
% 0.46/1.06 Derived: -v1_xboole_0(f2(A,B)). [resolve(106,a,101,a)].
% 0.46/1.06 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f2(C,A)) | v1_funct_1(B). [resolve(106,a,103,b)].
% 0.46/1.06 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f2(C,A)) | v1_funct_2(B,C,A). [resolve(106,a,104,b)].
% 0.46/1.06 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f2(C,A)) | m2_relset_1(B,C,A). [resolve(106,a,105,b)].
% 0.46/1.06 107 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | m2_fraenkel(f5(C,A,B),C,A,B) # label(existence_m2_fraenkel) # label(axiom). [clausify(33)].
% 0.46/1.06 Derived: v1_xboole_0(A) | m2_fraenkel(f5(B,A,k1_fraenkel(B,A)),B,A,k1_fraenkel(B,A)) | v1_xboole_0(A). [resolve(107,b,102,b)].
% 0.46/1.06 Derived: v1_xboole_0(A) | m2_fraenkel(f5(B,A,f2(B,A)),B,A,f2(B,A)). [resolve(107,b,106,a)].
% 0.46/1.06 108 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(56)].
% 0.46/1.06 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | m1_subset_1(B,k1_fraenkel(C,A)) | v1_xboole_0(A). [resolve(108,b,102,b)].
% 0.46/1.06 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f2(C,A)) | m1_subset_1(B,f2(C,A)). [resolve(108,b,106,a)].
% 0.46/1.06 109 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(56)].
% 0.46/1.06 Derived: v1_xboole_0(A) | m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | -m1_subset_1(B,k1_fraenkel(C,A)) | v1_xboole_0(A). [resolve(109,b,102,b)].
% 0.46/1.06 Derived: v1_xboole_0(A) | m2_fraenkel(B,C,A,f2(C,A)) | -m1_subset_1(B,f2(C,A)). [resolve(109,b,106,a)].
% 0.46/1.06 110 v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | m1_fraenkel(k4_autgroup(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(72,e,69,d)].
% 0.46/1.06 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -v1_xboole_0(k4_autgroup(g1_group_1(A,B))). [resolve(110,e,101,a)].
% 0.46/1.06 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))) | v1_funct_1(C). [resolve(110,e,103,b)].
% 0.46/1.06 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))) | v1_funct_2(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))). [resolve(110,e,104,b)].
% 0.46/1.06 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))) | m2_relset_1(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B))). [resolve(110,e,105,b)].
% 0.46/1.06 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | m2_fraenkel(f5(u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))),u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))). [resolve(110,e,107,b)].
% 0.46/1.06 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | -m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))) | m1_subset_1(C,k4_autgroup(g1_group_1(A,B))). [resolve(110,e,108,b)].
% 0.46/1.06 Derived: v3_struct_0(g1_group_1(A,B)) | -v1_group_1(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_xboole_0(u1_struct_0(g1_group_1(A,B))) | m2_fraenkel(C,u1_struct_0(g1_group_1(A,B)),u1_struct_0(g1_group_1(A,B)),k4_autgroup(g1_group_1(A,B))) | -m1_subset_1(C,k4_autgroup(g1_group_1(A,B))). [resolve(110,e,109,b)].
% 0.46/1.06 111 v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | m1_fraenkel(k4_autgroup(c1),u1_struct_0(c1),u1_struct_0(c1)). [resolve(77,a,72,e)].
% 0.46/1.06 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -v1_xboole_0(k4_autgroup(c1)). [resolve(111,e,101,a)].
% 0.46/1.06 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | v1_funct_1(A). [resolve(111,e,103,b)].
% 0.46/1.06 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | v1_funct_2(A,u1_struct_0(c1),u1_struct_0(c1)). [resolve(111,e,104,b)].
% 0.46/1.06 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | m2_relset_1(A,u1_struct_0(c1),u1_struct_0(c1)). [resolve(111,e,105,b)].
% 0.46/1.06 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | m2_fraenkel(f5(u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)),u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)). [resolve(111,e,107,b)].
% 0.46/1.06 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | m1_subset_1(A,k4_autgroup(c1)). [resolve(111,e,108,b)].
% 0.46/1.06 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | v1_xboole_0(u1_struct_0(c1)) | m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | -m1_subset_1(A,k4_autgroup(c1)). [resolve(111,e,109,b)].
% 0.46/1.06 112 v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | m1_fraenkel(k4_autgroup(c5),u1_struct_0(c5),u1_struct_0(c5)). [resolve(78,a,72,e)].
% 0.46/1.06 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -v1_xboole_0(k4_autgroup(c5)). [resolve(112,e,101,a)].
% 0.46/1.06 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | v1_funct_1(A). [resolve(112,e,103,b)].
% 0.46/1.06 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | v1_funct_2(A,u1_struct_0(c5),u1_struct_0(c5)). [resolve(112,e,104,b)].
% 0.46/1.06 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | m2_relset_1(A,u1_struct_0(c5),u1_struct_0(c5)). [resolve(112,e,105,b)].
% 0.46/1.06 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | m2_fraenkel(f5(u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)),u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)). [resolve(112,e,107,b)].
% 0.46/1.06 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | m1_subset_1(A,k4_autgroup(c5)). [resolve(112,e,108,b)].
% 0.46/1.06 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | v1_xboole_0(u1_struct_0(c5)) | m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | -m1_subset_1(A,k4_autgroup(c5)). [resolve(112,e,109,b)].
% 0.46/1.06 113 v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | m1_fraenkel(k4_autgroup(c9),u1_struct_0(c9),u1_struct_0(c9)). [resolve(79,a,72,e)].
% 0.46/1.06 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -v1_xboole_0(k4_autgroup(c9)). [resolve(113,e,101,a)].
% 0.46/1.06 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | v1_funct_1(A). [resolve(113,e,103,b)].
% 0.46/1.06 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | v1_funct_2(A,u1_struct_0(c9),u1_struct_0(c9)). [resolve(113,e,104,b)].
% 0.46/1.06 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | m2_relset_1(A,u1_struct_0(c9),u1_struct_0(c9)). [resolve(113,e,105,b)].
% 0.46/1.06 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | m2_fraenkel(f5(u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)),u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)). [resolve(113,e,107,b)].
% 0.46/1.06 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | m1_subset_1(A,k4_autgroup(c9)). [resolve(113,e,108,b)].
% 0.46/1.06 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | v1_xboole_0(u1_struct_0(c9)) | m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | -m1_subset_1(A,k4_autgroup(c9)). [resolve(113,e,109,b)].
% 0.46/1.06 114 v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | m1_fraenkel(k4_autgroup(c12),u1_struct_0(c12),u1_struct_0(c12)). [resolve(80,a,72,e)].
% 0.46/1.06 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -v1_xboole_0(k4_autgroup(c12)). [resolve(114,e,101,a)].
% 0.46/1.06 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | v1_funct_1(A). [resolve(114,e,103,b)].
% 0.46/1.06 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | v1_funct_2(A,u1_struct_0(c12),u1_struct_0(c12)). [resolve(114,e,104,b)].
% 0.46/1.06 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | m2_relset_1(A,u1_struct_0(c12),u1_struct_0(c12)). [resolve(114,e,105,b)].
% 0.46/1.06 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | m2_fraenkel(f5(u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)),u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)). [resolve(114,e,107,b)].
% 0.46/1.06 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | m1_subset_1(A,k4_autgroup(c12)). [resolve(114,e,108,b)].
% 0.46/1.06 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | v1_xboole_0(u1_struct_0(c12)) | m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | -m1_subset_1(A,k4_autgroup(c12)). [resolve(114,e,109,b)].
% 0.46/1.06 115 v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | m1_fraenkel(k4_autgroup(c14),u1_struct_0(c14),u1_struct_0(c14)). [resolve(81,a,72,e)].
% 0.46/1.06 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -v1_xboole_0(k4_autgroup(c14)). [resolve(115,e,101,a)].
% 0.46/1.06 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | v1_funct_1(A). [resolve(115,e,103,b)].
% 0.46/1.06 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | v1_funct_2(A,u1_struct_0(c14),u1_struct_0(c14)). [resolve(115,e,104,b)].
% 0.46/1.06 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | m2_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)). [resolve(115,e,105,b)].
% 0.46/1.06 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | m2_fraenkel(f5(u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)),u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)). [resolve(115,e,107,b)].
% 0.46/1.06 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | m1_subset_1(A,k4_autgroup(c14)). [resolve(115,e,108,b)].
% 0.79/1.07 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | -m1_subset_1(A,k4_autgroup(c14)). [resolve(115,e,109,b)].
% 0.79/1.07 116 -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_funct_1(D). [resolve(82,b,84,a)].
% 0.79/1.07 Derived: -m1_subset_1(A,k1_fraenkel(B,C)) | v1_funct_1(A) | v1_xboole_0(C). [resolve(116,a,102,b)].
% 0.79/1.07 Derived: -m1_subset_1(A,f2(B,C)) | v1_funct_1(A). [resolve(116,a,106,a)].
% 0.79/1.07 Derived: -m1_subset_1(A,k4_autgroup(g1_group_1(B,C))) | v1_funct_1(A) | v3_struct_0(g1_group_1(B,C)) | -v1_group_1(g1_group_1(B,C)) | -v3_group_1(g1_group_1(B,C)) | -v4_group_1(g1_group_1(B,C)) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B). [resolve(116,a,110,e)].
% 0.79/1.07 Derived: -m1_subset_1(A,k4_autgroup(c1)) | v1_funct_1(A) | v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1). [resolve(116,a,111,e)].
% 0.79/1.07 Derived: -m1_subset_1(A,k4_autgroup(c5)) | v1_funct_1(A) | v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5). [resolve(116,a,112,e)].
% 0.79/1.07 Derived: -m1_subset_1(A,k4_autgroup(c9)) | v1_funct_1(A) | v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9). [resolve(116,a,113,e)].
% 0.79/1.07 Derived: -m1_subset_1(A,k4_autgroup(c12)) | v1_funct_1(A) | v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12). [resolve(116,a,114,e)].
% 0.79/1.07 Derived: -m1_subset_1(A,k4_autgroup(c14)) | v1_funct_1(A) | v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14). [resolve(116,a,115,e)].
% 0.79/1.07 117 -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | -v1_xboole_0(D) | -v1_funct_1(D) | v2_funct_1(D). [resolve(98,c,90,a)].
% 0.79/1.07 Derived: -m1_subset_1(A,k1_fraenkel(B,C)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v1_xboole_0(C). [resolve(117,a,102,b)].
% 0.79/1.07 Derived: -m1_subset_1(A,f2(B,C)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A). [resolve(117,a,106,a)].
% 0.79/1.07 Derived: -m1_subset_1(A,k4_autgroup(g1_group_1(B,C))) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(g1_group_1(B,C)) | -v1_group_1(g1_group_1(B,C)) | -v3_group_1(g1_group_1(B,C)) | -v4_group_1(g1_group_1(B,C)) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B). [resolve(117,a,110,e)].
% 0.79/1.07 Derived: -m1_subset_1(A,k4_autgroup(c1)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1). [resolve(117,a,111,e)].
% 0.79/1.07 Derived: -m1_subset_1(A,k4_autgroup(c5)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5). [resolve(117,a,112,e)].
% 0.79/1.07 Derived: -m1_subset_1(A,k4_autgroup(c9)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9). [resolve(117,a,113,e)].
% 0.79/1.07 Derived: -m1_subset_1(A,k4_autgroup(c12)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12). [resolve(117,a,114,e)].
% 0.79/1.07 Derived: -m1_subset_1(A,k4_autgroup(c14)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14). [resolve(117,a,115,e)].
% 0.79/1.07 118 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(38)].
% 0.79/1.07 119 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(29)].
% 0.79/1.07 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(118,b,119,a)].
% 0.79/1.07 120 l1_struct_0(c13) # label(rc3_struct_0) # label(axiom). [clausify(53)].
% 0.79/1.07 Derived: v3_struct_0(c13) | -v1_xboole_0(u1_struct_0(c13)). [resolve(120,a,118,b)].
% 0.79/1.07 121 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f9(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(54)].
% 0.79/1.07 Derived: v3_struct_0(c2) | m1_subset_1(f9(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(121,b,119,a)].
% 1.82/2.10 Derived: v3_struct_0(c13) | m1_subset_1(f9(c13),k1_zfmisc_1(u1_struct_0(c13))). [resolve(121,b,120,a)].
% 1.82/2.10 122 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f9(A)) # label(rc5_struct_0) # label(axiom). [clausify(54)].
% 1.82/2.10 Derived: v3_struct_0(c2) | -v1_xboole_0(f9(c2)). [resolve(122,b,119,a)].
% 1.82/2.10 Derived: v3_struct_0(c13) | -v1_xboole_0(f9(c13)). [resolve(122,b,120,a)].
% 1.82/2.10 123 l1_struct_0(g1_group_1(A,B)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(73,a,69,d)].
% 1.82/2.10 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | v3_struct_0(g1_group_1(B,A)) | -v1_xboole_0(u1_struct_0(g1_group_1(B,A))). [resolve(123,a,118,b)].
% 1.82/2.10 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | v3_struct_0(g1_group_1(B,A)) | m1_subset_1(f9(g1_group_1(B,A)),k1_zfmisc_1(u1_struct_0(g1_group_1(B,A)))). [resolve(123,a,121,b)].
% 1.82/2.10 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | v3_struct_0(g1_group_1(B,A)) | -v1_xboole_0(f9(g1_group_1(B,A))). [resolve(123,a,122,b)].
% 1.82/2.10 124 l1_struct_0(c1). [resolve(77,a,73,a)].
% 1.82/2.10 Derived: v3_struct_0(c1) | -v1_xboole_0(u1_struct_0(c1)). [resolve(124,a,118,b)].
% 1.82/2.10 Derived: v3_struct_0(c1) | m1_subset_1(f9(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(124,a,121,b)].
% 1.82/2.10 Derived: v3_struct_0(c1) | -v1_xboole_0(f9(c1)). [resolve(124,a,122,b)].
% 1.82/2.10 125 l1_struct_0(c5). [resolve(78,a,73,a)].
% 1.82/2.10 Derived: v3_struct_0(c5) | -v1_xboole_0(u1_struct_0(c5)). [resolve(125,a,118,b)].
% 1.82/2.10 Derived: v3_struct_0(c5) | m1_subset_1(f9(c5),k1_zfmisc_1(u1_struct_0(c5))). [resolve(125,a,121,b)].
% 1.82/2.10 Derived: v3_struct_0(c5) | -v1_xboole_0(f9(c5)). [resolve(125,a,122,b)].
% 1.82/2.10 126 l1_struct_0(c9). [resolve(79,a,73,a)].
% 1.82/2.10 Derived: v3_struct_0(c9) | -v1_xboole_0(u1_struct_0(c9)). [resolve(126,a,118,b)].
% 1.82/2.10 Derived: v3_struct_0(c9) | m1_subset_1(f9(c9),k1_zfmisc_1(u1_struct_0(c9))). [resolve(126,a,121,b)].
% 1.82/2.10 Derived: v3_struct_0(c9) | -v1_xboole_0(f9(c9)). [resolve(126,a,122,b)].
% 1.82/2.10 127 l1_struct_0(c12). [resolve(80,a,73,a)].
% 1.82/2.10 Derived: v3_struct_0(c12) | -v1_xboole_0(u1_struct_0(c12)). [resolve(127,a,118,b)].
% 1.82/2.10 Derived: v3_struct_0(c12) | m1_subset_1(f9(c12),k1_zfmisc_1(u1_struct_0(c12))). [resolve(127,a,121,b)].
% 1.82/2.10 Derived: v3_struct_0(c12) | -v1_xboole_0(f9(c12)). [resolve(127,a,122,b)].
% 1.82/2.10 128 l1_struct_0(c14). [resolve(81,a,73,a)].
% 1.82/2.10 Derived: v3_struct_0(c14) | -v1_xboole_0(u1_struct_0(c14)). [resolve(128,a,118,b)].
% 1.82/2.10 Derived: v3_struct_0(c14) | m1_subset_1(f9(c14),k1_zfmisc_1(u1_struct_0(c14))). [resolve(128,a,121,b)].
% 1.82/2.10 Derived: v3_struct_0(c14) | -v1_xboole_0(f9(c14)). [resolve(128,a,122,b)].
% 1.82/2.10
% 1.82/2.10 ============================== end predicate elimination =============
% 1.82/2.10
% 1.82/2.10 Auto_denials: (non-Horn, no changes).
% 1.82/2.10
% 1.82/2.10 Term ordering decisions:
% 1.82/2.10 Function symbol KB weights: k1_xboole_0=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. c13=1. c14=1. g1_group_1=1. k2_zfmisc_1=1. k1_fraenkel=1. k1_funct_2=1. f1=1. f2=1. f3=1. f6=1. f7=1. f8=1. u1_struct_0=1. k4_autgroup=1. u1_group_1=1. k1_zfmisc_1=1. f4=1. f9=1. f5=1.
% 1.82/2.10
% 1.82/2.10 ============================== end of process initial clauses ========
% 1.82/2.10
% 1.82/2.10 ============================== CLAUSES FOR SEARCH ====================
% 1.82/2.10
% 1.82/2.10 ============================== end of clauses for search =============
% 1.82/2.10
% 1.82/2.10 ============================== SEARCH ================================
% 1.82/2.10
% 1.82/2.10 % Starting search at 0.06 seconds.
% 1.82/2.10
% 1.82/2.10 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 118 (0.00 of 0.17 sec).
% 1.82/2.10
% 1.82/2.10 Low Water (keep): wt=143.000, iters=3585
% 1.82/2.10
% 1.82/2.10 Low Water (keep): wt=111.000, iters=3427
% 1.82/2.10
% 1.82/2.10 Low Water (keep): wt=63.000, iters=3346
% 1.82/2.10
% 1.82/2.10 Low Water (keep): wt=59.000, iters=3360
% 1.82/2.10
% 1.82/2.10 Low Water (keep): wt=45.000, iters=3337
% 1.82/2.10
% 1.82/2.10 Low Water (keep): wt=43.000, iters=3430
% 1.82/2.10
% 1.82/2.10 Low Water (keep): wt=41.000, iters=3398
% 1.82/2.10
% 1.82/2.10 Low Water (keep): wt=38.000, iters=3379
% 1.82/2.10
% 1.82/2.10 Low Water (keep): wt=32.000, iters=3359
% 1.82/2.10
% 1.82/2.10 Low Water (keep): wt=30.000, iters=3413
% 1.82/2.10
% 1.82/2.10 Low Water (keep): wt=29.000, iters=3400
% 1.82/2.10
% 1.82/2.10 Low Water (keep): wt=27.000, iters=3439
% 1.82/2.10
% 1.82/2.10 Low Water (keep): wt=26.000, iters=3336
% 1.82/2.10
% 1.82/2.10 Low Water (keep): wt=25.000, iters=3363
% 107.60/107.91
% 107.60/107.91 Low Water (keep): wt=23.000, iters=3339
% 107.60/107.91
% 107.60/107.91 Low Water (keep): wt=22.000, iters=3346
% 107.60/107.91
% 107.60/107.91 Low Water (keep): wt=21.000, iters=3411
% 107.60/107.91
% 107.60/107.91 Low Water (keep): wt=20.000, iters=3448
% 107.60/107.91
% 107.60/107.91 Low Water (keep): wt=19.000, iters=3335
% 107.60/107.91
% 107.60/107.91 Low Water (keep): wt=18.000, iters=3343
% 107.60/107.91
% 107.60/107.91 Low Water (keep): wt=17.000, iters=3352
% 107.60/107.91
% 107.60/107.91 Low Water (keep): wt=16.000, iters=3335
% 107.60/107.91
% 107.60/107.91 Low Water (displace): id=12408, wt=196.000
% 107.60/107.91
% 107.60/107.91 Low Water (displace): id=12405, wt=194.000
% 107.60/107.91
% 107.60/107.91 Low Water (displace): id=15631, wt=15.000
% 107.60/107.91
% 107.60/107.91 Low Water (keep): wt=15.000, iters=3333
% 107.60/107.91
% 107.60/107.91 ============================== PROOF =================================
% 107.60/107.91 % SZS status Theorem
% 107.60/107.91 % SZS output start Refutation
% 107.60/107.91
% 107.60/107.91 % Proof 1 at 104.62 (+ 2.25) seconds.
% 107.60/107.91 % Length of proof is 63.
% 107.60/107.91 % Level of proof is 9.
% 107.60/107.91 % Maximum clause weight is 17.000.
% 107.60/107.91 % Given clauses 11277.
% 107.60/107.91
% 107.60/107.91 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].
% 107.60/107.91 11 (all A all B (r1_tarski(A,B) <-> (all C (r2_hidden(C,A) -> r2_hidden(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption].
% 107.60/107.91 18 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k4_autgroup) # label(axiom) # label(non_clause). [assumption].
% 107.60/107.91 19 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 107.60/107.91 21 (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].
% 107.60/107.91 24 (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].
% 107.60/107.91 38 (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].
% 107.60/107.91 55 (all A all B (-v1_xboole_0(B) -> k1_fraenkel(A,B) = k1_funct_2(A,B))) # label(redefinition_k1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 107.60/107.91 56 (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].
% 107.60/107.91 59 (all A all B (v1_funct_1(B) & v1_funct_2(B,A,A) & m2_relset_1(B,A,A) -> r2_hidden(B,k1_funct_2(A,A)))) # label(t12_funct_2) # label(axiom) # label(non_clause). [assumption].
% 107.60/107.91 60 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 107.60/107.91 62 (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].
% 107.60/107.91 68 -(all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> r1_tarski(k4_autgroup(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))))) # label(t12_autgroup) # label(negated_conjecture) # label(non_clause). [assumption].
% 107.60/107.91 72 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)) # label(dt_k4_autgroup) # label(axiom). [clausify(18)].
% 107.60/107.91 73 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(19)].
% 107.60/107.91 81 l1_group_1(c14) # label(t12_autgroup) # label(negated_conjecture). [clausify(68)].
% 107.60/107.91 82 -m1_fraenkel(A,B,C) | v1_fraenkel(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(21)].
% 107.60/107.91 84 -v1_fraenkel(A) | -m1_subset_1(B,A) | v1_funct_1(B) # label(cc1_fraenkel) # label(axiom). [clausify(3)].
% 107.60/107.91 104 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | v1_funct_2(D,C,A) # label(dt_m2_fraenkel) # label(axiom). [clausify(24)].
% 107.60/107.91 105 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | m2_relset_1(D,C,A) # label(dt_m2_fraenkel) # label(axiom). [clausify(24)].
% 107.60/107.91 109 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(56)].
% 107.60/107.91 115 v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | m1_fraenkel(k4_autgroup(c14),u1_struct_0(c14),u1_struct_0(c14)). [resolve(81,a,72,e)].
% 107.60/107.91 116 -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_funct_1(D). [resolve(82,b,84,a)].
% 107.60/107.91 118 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(38)].
% 107.60/107.91 128 l1_struct_0(c14). [resolve(81,a,73,a)].
% 107.60/107.91 133 r1_tarski(A,B) | r2_hidden(f1(A,B),A) # label(d3_tarski) # label(axiom). [clausify(11)].
% 107.60/107.91 134 r1_tarski(A,B) | -r2_hidden(f1(A,B),B) # label(d3_tarski) # label(axiom). [clausify(11)].
% 107.60/107.91 168 v1_xboole_0(A) | k1_funct_2(B,A) = k1_fraenkel(B,A) # label(redefinition_k1_fraenkel) # label(axiom). [clausify(55)].
% 107.60/107.91 172 -v1_funct_1(A) | -v1_funct_2(A,B,B) | -m2_relset_1(A,B,B) | r2_hidden(A,k1_funct_2(B,B)) # label(t12_funct_2) # label(axiom). [clausify(59)].
% 107.60/107.91 173 -r2_hidden(A,B) | m1_subset_1(A,B) # label(t1_subset) # label(axiom). [clausify(60)].
% 107.60/107.91 175 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(62)].
% 107.60/107.91 176 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(62)].
% 107.60/107.91 182 -v3_struct_0(c14) # label(t12_autgroup) # label(negated_conjecture). [clausify(68)].
% 107.60/107.91 183 v1_group_1(c14) # label(t12_autgroup) # label(negated_conjecture). [clausify(68)].
% 107.60/107.91 184 v3_group_1(c14) # label(t12_autgroup) # label(negated_conjecture). [clausify(68)].
% 107.60/107.91 185 v4_group_1(c14) # label(t12_autgroup) # label(negated_conjecture). [clausify(68)].
% 107.60/107.91 186 -r1_tarski(k4_autgroup(c14),k1_fraenkel(u1_struct_0(c14),u1_struct_0(c14))) # label(t12_autgroup) # label(negated_conjecture). [clausify(68)].
% 107.60/107.91 297 v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | v1_funct_2(A,u1_struct_0(c14),u1_struct_0(c14)). [resolve(115,e,104,b)].
% 107.60/107.91 298 v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | v1_funct_2(A,u1_struct_0(c14),u1_struct_0(c14)). [copy(297),unit_del(a,182),unit_del(b,183),unit_del(c,184),unit_del(d,185)].
% 107.60/107.91 299 v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | m2_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)). [resolve(115,e,105,b)].
% 107.60/107.91 300 v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | m2_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)). [copy(299),unit_del(a,182),unit_del(b,183),unit_del(c,184),unit_del(d,185)].
% 107.60/107.91 305 v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | v1_xboole_0(u1_struct_0(c14)) | m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | -m1_subset_1(A,k4_autgroup(c14)). [resolve(115,e,109,b)].
% 107.60/107.91 306 v1_xboole_0(u1_struct_0(c14)) | m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | -m1_subset_1(A,k4_autgroup(c14)). [copy(305),unit_del(a,182),unit_del(b,183),unit_del(c,184),unit_del(d,185)].
% 107.60/107.91 317 -m1_subset_1(A,k4_autgroup(c14)) | v1_funct_1(A) | v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14). [resolve(116,a,115,e)].
% 107.60/107.91 318 -m1_subset_1(A,k4_autgroup(c14)) | v1_funct_1(A). [copy(317),unit_del(c,182),unit_del(d,183),unit_del(e,184),unit_del(f,185)].
% 107.60/107.91 349 v3_struct_0(c14) | -v1_xboole_0(u1_struct_0(c14)). [resolve(128,a,118,b)].
% 107.60/107.91 350 -v1_xboole_0(u1_struct_0(c14)). [copy(349),unit_del(a,182)].
% 107.60/107.91 369 m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | -m1_subset_1(A,k4_autgroup(c14)). [back_unit_del(306),unit_del(a,350)].
% 107.60/107.91 372 -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | m2_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)). [back_unit_del(300),unit_del(a,350)].
% 107.60/107.91 373 -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | v1_funct_2(A,u1_struct_0(c14),u1_struct_0(c14)). [back_unit_del(298),unit_del(a,350)].
% 107.60/107.91 410 m1_subset_1(A,k1_zfmisc_1(B)) | r2_hidden(f1(A,B),A). [resolve(176,b,133,a)].
% 107.60/107.91 417 r2_hidden(f1(k4_autgroup(c14),k1_fraenkel(u1_struct_0(c14),u1_struct_0(c14))),k4_autgroup(c14)). [resolve(186,a,133,a)].
% 107.60/107.91 510 k1_funct_2(A,u1_struct_0(c14)) = k1_fraenkel(A,u1_struct_0(c14)). [resolve(350,a,168,a)].
% 107.60/107.91 726 m1_subset_1(A,k1_zfmisc_1(B)) | m1_subset_1(f1(A,B),A). [resolve(410,b,173,a)].
% 107.60/107.91 859 m1_subset_1(f1(k4_autgroup(c14),k1_fraenkel(u1_struct_0(c14),u1_struct_0(c14))),k4_autgroup(c14)). [resolve(417,a,173,a)].
% 107.60/107.91 1030 m1_subset_1(k4_autgroup(c14),k1_zfmisc_1(A)) | v1_funct_1(f1(k4_autgroup(c14),A)). [resolve(726,b,318,a)].
% 107.60/107.91 1478 v1_funct_1(f1(k4_autgroup(c14),A)) | r1_tarski(k4_autgroup(c14),A). [resolve(1030,a,175,a)].
% 107.60/107.91 1484 v1_funct_1(f1(k4_autgroup(c14),k1_fraenkel(u1_struct_0(c14),u1_struct_0(c14)))). [resolve(1478,b,186,a)].
% 107.60/107.91 2091 m2_fraenkel(f1(k4_autgroup(c14),k1_fraenkel(u1_struct_0(c14),u1_struct_0(c14))),u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)). [resolve(859,a,369,b)].
% 107.60/107.91 20020 v1_funct_2(f1(k4_autgroup(c14),k1_fraenkel(u1_struct_0(c14),u1_struct_0(c14))),u1_struct_0(c14),u1_struct_0(c14)). [resolve(2091,a,373,a)].
% 107.60/107.91 20021 m2_relset_1(f1(k4_autgroup(c14),k1_fraenkel(u1_struct_0(c14),u1_struct_0(c14))),u1_struct_0(c14),u1_struct_0(c14)). [resolve(2091,a,372,a)].
% 107.60/107.91 20145 r2_hidden(f1(k4_autgroup(c14),k1_fraenkel(u1_struct_0(c14),u1_struct_0(c14))),k1_fraenkel(u1_struct_0(c14),u1_struct_0(c14))). [resolve(20021,a,172,c),rewrite([510(35)]),unit_del(a,1484),unit_del(b,20020)].
% 107.60/107.91 30006 $F. [resolve(20145,a,134,b),unit_del(a,186)].
% 107.60/107.91
% 107.60/107.91 % SZS output end Refutation
% 107.60/107.91 ============================== end of proof ==========================
% 107.60/107.91
% 107.60/107.91 ============================== STATISTICS ============================
% 107.60/107.91
% 107.60/107.91 Given=11277. Generated=4245068. Kept=29823. proofs=1.
% 107.60/107.91 Usable=11258. Sos=9989. Demods=655. Limbo=1, Disabled=8831. Hints=0.
% 107.60/107.91 Megabytes=75.20.
% 107.60/107.91 User_CPU=104.62, System_CPU=2.25, Wall_clock=107.
% 107.60/107.91
% 107.60/107.91 ============================== end of statistics =====================
% 107.60/107.91
% 107.60/107.91 ============================== end of search =========================
% 107.60/107.91
% 107.60/107.91 THEOREM PROVED
% 107.60/107.91 % SZS status Theorem
% 107.60/107.91
% 107.60/107.91 Exiting with 1 proof.
% 107.60/107.91
% 107.60/107.91 Process 30283 exit (max_proofs) Tue Jun 14 04:51:21 2022
% 107.60/107.91 Prover9 interrupted
%------------------------------------------------------------------------------