TSTP Solution File: GRP631+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP631+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n032.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 11:20:01 EDT 2022
% Result : Timeout 300.02s 300.32s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : GRP631+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.09 % Command : tptp2X_and_run_prover9 %d %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Mon Jun 13 05:12:56 EDT 2022
% 0.07/0.28 % CPUTime :
% 0.49/0.82 ============================== Prover9 ===============================
% 0.49/0.82 Prover9 (32) version 2009-11A, November 2009.
% 0.49/0.82 Process 12738 was started by sandbox2 on n032.cluster.edu,
% 0.49/0.82 Mon Jun 13 05:12:57 2022
% 0.49/0.82 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_12460_n032.cluster.edu".
% 0.49/0.82 ============================== end of head ===========================
% 0.49/0.82
% 0.49/0.82 ============================== INPUT =================================
% 0.49/0.82
% 0.49/0.82 % Reading from file /tmp/Prover9_12460_n032.cluster.edu
% 0.49/0.82
% 0.49/0.82 set(prolog_style_variables).
% 0.49/0.82 set(auto2).
% 0.49/0.82 % set(auto2) -> set(auto).
% 0.49/0.82 % set(auto) -> set(auto_inference).
% 0.49/0.82 % set(auto) -> set(auto_setup).
% 0.49/0.82 % set(auto_setup) -> set(predicate_elim).
% 0.49/0.82 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.49/0.82 % set(auto) -> set(auto_limits).
% 0.49/0.82 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.49/0.82 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.49/0.82 % set(auto) -> set(auto_denials).
% 0.49/0.82 % set(auto) -> set(auto_process).
% 0.49/0.82 % set(auto2) -> assign(new_constants, 1).
% 0.49/0.82 % set(auto2) -> assign(fold_denial_max, 3).
% 0.49/0.82 % set(auto2) -> assign(max_weight, "200.000").
% 0.49/0.82 % set(auto2) -> assign(max_hours, 1).
% 0.49/0.82 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.49/0.82 % set(auto2) -> assign(max_seconds, 0).
% 0.49/0.82 % set(auto2) -> assign(max_minutes, 5).
% 0.49/0.82 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.49/0.82 % set(auto2) -> set(sort_initial_sos).
% 0.49/0.82 % set(auto2) -> assign(sos_limit, -1).
% 0.49/0.82 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.49/0.82 % set(auto2) -> assign(max_megs, 400).
% 0.49/0.82 % set(auto2) -> assign(stats, some).
% 0.49/0.82 % set(auto2) -> clear(echo_input).
% 0.49/0.82 % set(auto2) -> set(quiet).
% 0.49/0.82 % set(auto2) -> clear(print_initial_clauses).
% 0.49/0.82 % set(auto2) -> clear(print_given).
% 0.49/0.82 assign(lrs_ticks,-1).
% 0.49/0.82 assign(sos_limit,10000).
% 0.49/0.82 assign(order,kbo).
% 0.49/0.82 set(lex_order_vars).
% 0.49/0.82 clear(print_given).
% 0.49/0.82
% 0.49/0.82 % formulas(sos). % not echoed (82 formulas)
% 0.49/0.82
% 0.49/0.82 ============================== end of input ==========================
% 0.49/0.82
% 0.49/0.82 % From the command line: assign(max_seconds, 300).
% 0.49/0.82
% 0.49/0.82 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.49/0.82
% 0.49/0.82 % Formulas that are not ordinary clauses:
% 0.49/0.82 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].
% 0.49/0.82 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.49/0.82 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].
% 0.49/0.82 4 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.49/0.82 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].
% 0.49/0.82 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].
% 0.49/0.82 7 (all A (v1_relat_1(A) & v3_relat_2(A) & v8_relat_2(A) -> v1_relat_1(A) & v1_relat_2(A))) # label(cc1_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.49/0.82 8 (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].
% 0.49/0.82 9 (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].
% 0.49/0.82 10 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_funct_2(C,A,B) & v3_funct_2(C,A,B) -> v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,A,B) & v2_funct_2(C,A,B)))) # label(cc2_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.49/0.82 11 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,A,B) & v2_funct_2(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,A,B) & v3_funct_2(C,A,B)))) # label(cc3_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.49/0.82 12 (all A all B (m1_relset_1(B,A,A) -> (v1_funct_1(B) & v1_partfun1(B,A,A) & v1_relat_2(B) & v1_funct_2(B,A,A) -> v1_funct_1(B) & v2_funct_1(B) & v1_funct_2(B,A,A) & v2_funct_2(B,A,A) & v3_funct_2(B,A,A)))) # label(cc4_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 13 (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].
% 0.53/0.82 14 (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].
% 0.53/0.82 15 (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].
% 0.53/0.82 16 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 17 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 18 (all A (-v3_struct_0(A) & l1_group_1(A) -> m1_subset_1(k2_group_1(A),u1_struct_0(A)))) # label(dt_k2_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 19 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 20 (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].
% 0.53/0.82 21 (all A all B (v1_relat_1(A) & v1_relat_1(B) -> v1_relat_1(k5_relat_1(A,B)))) # label(dt_k5_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 22 (all A all B (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) -> m2_fraenkel(k6_autgroup(A,B),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)))) # label(dt_k6_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 23 (all A (v1_partfun1(k6_partfun1(A),A,A) & m2_relset_1(k6_partfun1(A),A,A))) # label(dt_k6_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 24 (all A v1_relat_1(k6_relat_1(A))) # label(dt_k6_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 25 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_relset_1(D,A,B) & v1_funct_1(E) & v1_funct_2(E,B,C) & m1_relset_1(E,B,C) -> v1_funct_1(k7_funct_2(A,B,C,D,E)) & v1_funct_2(k7_funct_2(A,B,C,D,E),A,C) & m2_relset_1(k7_funct_2(A,B,C,D,E),A,C))) # label(dt_k7_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 26 (all A all B all C all D all E all F (m1_relset_1(E,A,B) & m1_relset_1(F,C,D) -> m2_relset_1(k7_relset_1(A,B,C,D,E,F),A,D))) # label(dt_k7_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 27 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 28 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 29 (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].
% 0.53/0.82 30 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 31 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 32 (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].
% 0.53/0.82 33 (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].
% 0.53/0.82 34 (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].
% 0.53/0.82 35 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 36 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 37 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 38 (all A all B exists C m1_fraenkel(C,A,B)) # label(existence_m1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 39 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 40 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 41 (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].
% 0.53/0.82 42 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 43 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) -> v1_relat_1(k5_relat_1(A,B)) & v1_funct_1(k5_relat_1(A,B)))) # label(fc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 44 (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].
% 0.53/0.82 45 (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].
% 0.53/0.82 46 (all A (v1_relat_1(k6_relat_1(A)) & v1_funct_1(k6_relat_1(A)))) # label(fc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 47 (all A (v1_relat_1(k6_relat_1(A)) & v1_funct_1(k6_relat_1(A)) & v1_relat_2(k6_relat_1(A)) & v3_relat_2(k6_relat_1(A)) & v4_relat_2(k6_relat_1(A)) & v8_relat_2(k6_relat_1(A)))) # label(fc2_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 48 (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].
% 0.53/0.82 49 (exists A (-v1_xboole_0(A) & v1_fraenkel(A))) # label(rc1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 50 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 51 (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].
% 0.53/0.82 52 (exists A (l1_group_1(A) & v1_group_1(A))) # label(rc1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 53 (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].
% 0.53/0.82 54 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 55 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 56 (all A exists B (m1_relset_1(B,A,A) & v1_relat_1(B) & v1_funct_1(B) & v2_funct_1(B) & v1_funct_2(B,A,A) & v2_funct_2(B,A,A) & v3_funct_2(B,A,A))) # label(rc2_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 57 (exists A (l1_group_1(A) & -v3_struct_0(A) & v1_group_1(A))) # label(rc2_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 58 (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].
% 0.53/0.82 59 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 60 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 61 (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].
% 0.53/0.82 62 (all A exists B (m1_relset_1(B,A,A) & v1_relat_1(B) & v1_relat_2(B) & v3_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A))) # label(rc3_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 63 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 64 (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].
% 0.53/0.82 65 (all A k6_partfun1(A) = k6_relat_1(A)) # label(redefinition_k6_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 66 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_relset_1(D,A,B) & v1_funct_1(E) & v1_funct_2(E,B,C) & m1_relset_1(E,B,C) -> k7_funct_2(A,B,C,D,E) = k5_relat_1(D,E))) # label(redefinition_k7_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 67 (all A all B all C all D all E all F (m1_relset_1(E,A,B) & m1_relset_1(F,C,D) -> k7_relset_1(A,B,C,D,E,F) = k5_relat_1(E,F))) # label(redefinition_k7_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 68 (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].
% 0.53/0.82 69 (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].
% 0.53/0.82 70 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 71 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 72 (all A all B all C (m2_relset_1(C,A,B) -> k7_relset_1(A,A,A,B,k6_partfun1(A),C) = C & k7_relset_1(A,B,B,B,C,k6_partfun1(B)) = C)) # label(t23_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 73 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> k6_autgroup(A,k2_group_1(A)) = k6_partfun1(u1_struct_0(A)))) # label(t24_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 74 (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].
% 0.53/0.82 75 (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].
% 0.53/0.82 76 (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].
% 0.53/0.82 77 (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].
% 0.53/0.82 78 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 79 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 80 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.53/0.82 81 -(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_subset_1(B,u1_struct_0(A)) -> k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,k2_group_1(A)),k6_autgroup(A,B)) = k6_autgroup(A,B) & k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),k6_autgroup(A,B),k6_autgroup(A,k2_group_1(A))) = k6_autgroup(A,B))))) # label(t29_autgroup) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.53/0.82
% 0.53/0.82 ============================== end of process non-clausal formulas ===
% 0.53/0.82
% 0.53/0.82 ============================== PROCESS INITIAL CLAUSES ===============
% 0.53/0.82
% 0.53/0.82 ============================== PREDICATE ELIMINATION =================
% 0.53/0.82 82 -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(15)].
% 0.53/0.82 83 -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)].
% 0.53/0.82 84 -l1_group_1(A) | v3_struct_0(A) | -v3_group_1(A) | v2_group_1(A) # label(cc1_group_1) # label(axiom). [clausify(6)].
% 0.53/0.82 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(82,d,83,a)].
% 0.53/0.82 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(82,d,84,a)].
% 0.53/0.82 85 v3_struct_0(A) | -l1_group_1(A) | m1_subset_1(k2_group_1(A),u1_struct_0(A)) # label(dt_k2_group_1) # label(axiom). [clausify(18)].
% 0.53/0.82 Derived: v3_struct_0(g1_group_1(A,B)) | m1_subset_1(k2_group_1(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(85,b,82,d)].
% 0.53/0.82 86 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(20)].
% 0.53/0.82 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(86,e,82,d)].
% 0.53/0.82 87 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_subset_1(B,u1_struct_0(A)) | m2_fraenkel(k6_autgroup(A,B),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) # label(dt_k6_autgroup) # label(axiom). [clausify(22)].
% 0.53/0.82 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_subset_1(C,u1_struct_0(g1_group_1(A,B))) | m2_fraenkel(k6_autgroup(g1_group_1(A,B),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(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(87,e,82,d)].
% 0.53/0.82 88 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(27)].
% 0.53/0.82 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(88,a,82,d)].
% 0.53/0.82 89 -l1_group_1(A) | v1_funct_1(u1_group_1(A)) # label(dt_u1_group_1) # label(axiom). [clausify(34)].
% 0.53/0.82 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(89,a,82,d)].
% 0.53/0.82 90 -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(34)].
% 0.53/0.82 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(90,a,82,d)].
% 0.53/0.82 91 -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(34)].
% 0.53/0.82 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(91,a,82,d)].
% 0.53/0.82 92 l1_group_1(c1) # label(existence_l1_group_1) # label(axiom). [clausify(36)].
% 0.53/0.82 Derived: -v1_group_1(c1) | g1_group_1(u1_struct_0(c1),u1_group_1(c1)) = c1. [resolve(92,a,83,a)].
% 0.53/0.82 Derived: v3_struct_0(c1) | -v3_group_1(c1) | v2_group_1(c1). [resolve(92,a,84,a)].
% 0.53/0.82 Derived: v3_struct_0(c1) | m1_subset_1(k2_group_1(c1),u1_struct_0(c1)). [resolve(92,a,85,b)].
% 0.53/0.82 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(92,a,86,e)].
% 0.53/0.82 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m1_subset_1(A,u1_struct_0(c1)) | m2_fraenkel(k6_autgroup(c1,A),u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)). [resolve(92,a,87,e)].
% 0.53/0.82 Derived: l1_struct_0(c1). [resolve(92,a,88,a)].
% 0.53/0.82 Derived: v1_funct_1(u1_group_1(c1)). [resolve(92,a,89,a)].
% 0.53/0.82 Derived: v1_funct_2(u1_group_1(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(92,a,90,a)].
% 0.53/0.82 Derived: m2_relset_1(u1_group_1(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(92,a,91,a)].
% 0.53/0.82 93 l1_group_1(c5) # label(rc1_group_1) # label(axiom). [clausify(52)].
% 0.53/0.82 Derived: -v1_group_1(c5) | g1_group_1(u1_struct_0(c5),u1_group_1(c5)) = c5. [resolve(93,a,83,a)].
% 0.53/0.82 Derived: v3_struct_0(c5) | -v3_group_1(c5) | v2_group_1(c5). [resolve(93,a,84,a)].
% 0.53/0.82 Derived: v3_struct_0(c5) | m1_subset_1(k2_group_1(c5),u1_struct_0(c5)). [resolve(93,a,85,b)].
% 0.53/0.82 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(93,a,86,e)].
% 0.53/0.82 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m1_subset_1(A,u1_struct_0(c5)) | m2_fraenkel(k6_autgroup(c5,A),u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)). [resolve(93,a,87,e)].
% 0.53/0.82 Derived: l1_struct_0(c5). [resolve(93,a,88,a)].
% 0.53/0.82 Derived: v1_funct_1(u1_group_1(c5)). [resolve(93,a,89,a)].
% 0.53/0.82 Derived: v1_funct_2(u1_group_1(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(93,a,90,a)].
% 0.53/0.82 Derived: m2_relset_1(u1_group_1(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(93,a,91,a)].
% 0.53/0.82 94 l1_group_1(c9) # label(rc2_group_1) # label(axiom). [clausify(57)].
% 0.53/0.82 Derived: -v1_group_1(c9) | g1_group_1(u1_struct_0(c9),u1_group_1(c9)) = c9. [resolve(94,a,83,a)].
% 0.53/0.82 Derived: v3_struct_0(c9) | -v3_group_1(c9) | v2_group_1(c9). [resolve(94,a,84,a)].
% 0.53/0.82 Derived: v3_struct_0(c9) | m1_subset_1(k2_group_1(c9),u1_struct_0(c9)). [resolve(94,a,85,b)].
% 0.53/0.82 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(94,a,86,e)].
% 0.53/0.82 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m1_subset_1(A,u1_struct_0(c9)) | m2_fraenkel(k6_autgroup(c9,A),u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)). [resolve(94,a,87,e)].
% 0.53/0.82 Derived: l1_struct_0(c9). [resolve(94,a,88,a)].
% 0.53/0.82 Derived: v1_funct_1(u1_group_1(c9)). [resolve(94,a,89,a)].
% 0.53/0.82 Derived: v1_funct_2(u1_group_1(c9),k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9)). [resolve(94,a,90,a)].
% 0.53/0.82 Derived: m2_relset_1(u1_group_1(c9),k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9)). [resolve(94,a,91,a)].
% 0.53/0.82 95 l1_group_1(c12) # label(rc3_group_1) # label(axiom). [clausify(61)].
% 0.53/0.82 Derived: -v1_group_1(c12) | g1_group_1(u1_struct_0(c12),u1_group_1(c12)) = c12. [resolve(95,a,83,a)].
% 0.53/0.82 Derived: v3_struct_0(c12) | m1_subset_1(k2_group_1(c12),u1_struct_0(c12)). [resolve(95,a,85,b)].
% 0.53/0.82 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(95,a,86,e)].
% 0.53/0.82 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m1_subset_1(A,u1_struct_0(c12)) | m2_fraenkel(k6_autgroup(c12,A),u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)). [resolve(95,a,87,e)].
% 0.53/0.82 Derived: l1_struct_0(c12). [resolve(95,a,88,a)].
% 0.53/0.82 Derived: v1_funct_1(u1_group_1(c12)). [resolve(95,a,89,a)].
% 0.53/0.82 Derived: v1_funct_2(u1_group_1(c12),k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12)). [resolve(95,a,90,a)].
% 0.53/0.82 Derived: m2_relset_1(u1_group_1(c12),k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12)). [resolve(95,a,91,a)].
% 0.53/0.82 96 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | k6_partfun1(u1_struct_0(A)) = k6_autgroup(A,k2_group_1(A)) # label(t24_autgroup) # label(axiom). [clausify(73)].
% 0.53/0.82 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)) | k6_partfun1(u1_struct_0(g1_group_1(A,B))) = k6_autgroup(g1_group_1(A,B),k2_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(96,e,82,d)].
% 0.53/0.83 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | k6_partfun1(u1_struct_0(c1)) = k6_autgroup(c1,k2_group_1(c1)). [resolve(96,e,92,a)].
% 0.53/0.83 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | k6_partfun1(u1_struct_0(c5)) = k6_autgroup(c5,k2_group_1(c5)). [resolve(96,e,93,a)].
% 0.53/0.83 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | k6_partfun1(u1_struct_0(c9)) = k6_autgroup(c9,k2_group_1(c9)). [resolve(96,e,94,a)].
% 0.53/0.83 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | k6_partfun1(u1_struct_0(c12)) = k6_autgroup(c12,k2_group_1(c12)). [resolve(96,e,95,a)].
% 0.53/0.83 97 l1_group_1(c14) # label(t29_autgroup) # label(negated_conjecture). [clausify(81)].
% 0.53/0.83 Derived: -v1_group_1(c14) | g1_group_1(u1_struct_0(c14),u1_group_1(c14)) = c14. [resolve(97,a,83,a)].
% 0.53/0.83 Derived: v3_struct_0(c14) | -v3_group_1(c14) | v2_group_1(c14). [resolve(97,a,84,a)].
% 0.53/0.83 Derived: v3_struct_0(c14) | m1_subset_1(k2_group_1(c14),u1_struct_0(c14)). [resolve(97,a,85,b)].
% 0.53/0.83 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(97,a,86,e)].
% 0.53/0.83 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m1_subset_1(A,u1_struct_0(c14)) | m2_fraenkel(k6_autgroup(c14,A),u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)). [resolve(97,a,87,e)].
% 0.53/0.83 Derived: l1_struct_0(c14). [resolve(97,a,88,a)].
% 0.53/0.83 Derived: v1_funct_1(u1_group_1(c14)). [resolve(97,a,89,a)].
% 0.53/0.83 Derived: v1_funct_2(u1_group_1(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(97,a,90,a)].
% 0.53/0.83 Derived: m2_relset_1(u1_group_1(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(97,a,91,a)].
% 0.53/0.83 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | k6_partfun1(u1_struct_0(c14)) = k6_autgroup(c14,k2_group_1(c14)). [resolve(97,a,96,e)].
% 0.53/0.83 98 -m1_fraenkel(A,B,C) | v1_fraenkel(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(29)].
% 0.53/0.83 99 -v1_fraenkel(A) | -m1_subset_1(B,A) | v1_relat_1(B) # label(cc1_fraenkel) # label(axiom). [clausify(3)].
% 0.53/0.83 100 -v1_fraenkel(A) | -m1_subset_1(B,A) | v1_funct_1(B) # label(cc1_fraenkel) # label(axiom). [clausify(3)].
% 0.53/0.83 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_relat_1(D). [resolve(98,b,99,a)].
% 0.53/0.83 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_funct_1(D). [resolve(98,b,100,a)].
% 0.53/0.83 101 v1_fraenkel(c3) # label(rc1_fraenkel) # label(axiom). [clausify(49)].
% 0.53/0.83 Derived: -m1_subset_1(A,c3) | v1_relat_1(A). [resolve(101,a,99,a)].
% 0.53/0.83 Derived: -m1_subset_1(A,c3) | v1_funct_1(A). [resolve(101,a,100,a)].
% 0.53/0.83 102 v3_relat_2(k6_relat_1(A)) # label(fc2_partfun1) # label(axiom). [clausify(47)].
% 0.53/0.83 103 -v1_relat_1(A) | -v3_relat_2(A) | -v8_relat_2(A) | v1_relat_2(A) # label(cc1_partfun1) # label(axiom). [clausify(7)].
% 0.53/0.83 Derived: -v1_relat_1(k6_relat_1(A)) | -v8_relat_2(k6_relat_1(A)) | v1_relat_2(k6_relat_1(A)). [resolve(102,a,103,b)].
% 0.53/0.83 104 v3_relat_2(f9(A)) # label(rc3_partfun1) # label(axiom). [clausify(62)].
% 0.53/0.83 Derived: -v1_relat_1(f9(A)) | -v8_relat_2(f9(A)) | v1_relat_2(f9(A)). [resolve(104,a,103,b)].
% 0.53/0.83 105 -m1_relset_1(A,B,C) | -v1_funct_1(A) | -v2_funct_1(A) | -v1_funct_2(A,B,C) | -v2_funct_2(A,B,C) | v3_funct_2(A,B,C) # label(cc3_funct_2) # label(axiom). [clausify(11)].
% 0.53/0.83 106 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(9)].
% 0.53/0.83 107 -m1_relset_1(A,B,C) | -v1_funct_1(A) | -v1_funct_2(A,B,C) | -v3_funct_2(A,B,C) | v2_funct_1(A) # label(cc2_funct_2) # label(axiom). [clausify(10)].
% 0.53/0.83 Derived: -m1_relset_1(A,B,C) | -v1_funct_1(A) | -v1_funct_2(A,B,C) | -v2_funct_2(A,B,C) | v3_funct_2(A,B,C) | -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A). [resolve(105,c,106,d)].
% 0.53/0.83 Derived: -m1_relset_1(A,B,C) | -v1_funct_1(A) | -v1_funct_2(A,B,C) | -v2_funct_2(A,B,C) | v3_funct_2(A,B,C) | -m1_relset_1(A,D,E) | -v1_funct_1(A) | -v1_funct_2(A,D,E) | -v3_funct_2(A,D,E). [resolve(105,c,107,e)].
% 0.53/0.83 108 -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_partfun1(A,B,B) | -v1_relat_2(A) | -v1_funct_2(A,B,B) | v2_funct_1(A) # label(cc4_funct_2) # label(axiom). [clausify(12)].
% 0.53/0.83 Derived: -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_partfun1(A,B,B) | -v1_relat_2(A) | -v1_funct_2(A,B,B) | -m1_relset_1(A,C,D) | -v1_funct_1(A) | -v1_funct_2(A,C,D) | -v2_funct_2(A,C,D) | v3_funct_2(A,C,D). [resolve(108,f,105,c)].
% 0.53/0.83 109 v2_funct_1(c6) # label(rc1_partfun1) # label(axiom). [clausify(53)].
% 0.53/0.83 Derived: -m1_relset_1(c6,A,B) | -v1_funct_1(c6) | -v1_funct_2(c6,A,B) | -v2_funct_2(c6,A,B) | v3_funct_2(c6,A,B). [resolve(109,a,105,c)].
% 0.53/0.83 110 v2_funct_1(f7(A)) # label(rc2_funct_2) # label(axiom). [clausify(56)].
% 0.53/0.83 Derived: -m1_relset_1(f7(A),B,C) | -v1_funct_1(f7(A)) | -v1_funct_2(f7(A),B,C) | -v2_funct_2(f7(A),B,C) | v3_funct_2(f7(A),B,C). [resolve(110,a,105,c)].
% 0.53/0.83 111 v2_funct_1(c11) # label(rc3_funct_1) # label(axiom). [clausify(60)].
% 0.53/0.83 Derived: -m1_relset_1(c11,A,B) | -v1_funct_1(c11) | -v1_funct_2(c11,A,B) | -v2_funct_2(c11,A,B) | v3_funct_2(c11,A,B). [resolve(111,a,105,c)].
% 0.53/0.83 112 v1_relat_2(k6_relat_1(A)) # label(fc2_partfun1) # label(axiom). [clausify(47)].
% 0.53/0.83 113 -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_partfun1(A,B,B) | -v1_relat_2(A) | -v1_funct_2(A,B,B) | v2_funct_2(A,B,B) # label(cc4_funct_2) # label(axiom). [clausify(12)].
% 0.53/0.83 114 -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_partfun1(A,B,B) | -v1_relat_2(A) | -v1_funct_2(A,B,B) | v3_funct_2(A,B,B) # label(cc4_funct_2) # label(axiom). [clausify(12)].
% 0.53/0.83 Derived: -m1_relset_1(k6_relat_1(A),B,B) | -v1_funct_1(k6_relat_1(A)) | -v1_partfun1(k6_relat_1(A),B,B) | -v1_funct_2(k6_relat_1(A),B,B) | v2_funct_2(k6_relat_1(A),B,B). [resolve(112,a,113,d)].
% 0.53/0.83 Derived: -m1_relset_1(k6_relat_1(A),B,B) | -v1_funct_1(k6_relat_1(A)) | -v1_partfun1(k6_relat_1(A),B,B) | -v1_funct_2(k6_relat_1(A),B,B) | v3_funct_2(k6_relat_1(A),B,B). [resolve(112,a,114,d)].
% 0.53/0.83 115 v1_relat_2(f9(A)) # label(rc3_partfun1) # label(axiom). [clausify(62)].
% 0.53/0.83 Derived: -m1_relset_1(f9(A),B,B) | -v1_funct_1(f9(A)) | -v1_partfun1(f9(A),B,B) | -v1_funct_2(f9(A),B,B) | v2_funct_2(f9(A),B,B). [resolve(115,a,113,d)].
% 0.53/0.83 Derived: -m1_relset_1(f9(A),B,B) | -v1_funct_1(f9(A)) | -v1_partfun1(f9(A),B,B) | -v1_funct_2(f9(A),B,B) | v3_funct_2(f9(A),B,B). [resolve(115,a,114,d)].
% 0.53/0.83 116 -v1_relat_1(k6_relat_1(A)) | -v8_relat_2(k6_relat_1(A)) | v1_relat_2(k6_relat_1(A)). [resolve(102,a,103,b)].
% 0.53/0.83 117 -v1_relat_1(f9(A)) | -v8_relat_2(f9(A)) | v1_relat_2(f9(A)). [resolve(104,a,103,b)].
% 0.53/0.83 118 -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_partfun1(A,B,B) | -v1_relat_2(A) | -v1_funct_2(A,B,B) | -m1_relset_1(A,C,D) | -v1_funct_1(A) | -v1_funct_2(A,C,D) | -v2_funct_2(A,C,D) | v3_funct_2(A,C,D). [resolve(108,f,105,c)].
% 0.53/0.83 Derived: -m1_relset_1(k6_relat_1(A),B,B) | -v1_funct_1(k6_relat_1(A)) | -v1_partfun1(k6_relat_1(A),B,B) | -v1_funct_2(k6_relat_1(A),B,B) | -m1_relset_1(k6_relat_1(A),C,D) | -v1_funct_1(k6_relat_1(A)) | -v1_funct_2(k6_relat_1(A),C,D) | -v2_funct_2(k6_relat_1(A),C,D) | v3_funct_2(k6_relat_1(A),C,D). [resolve(118,d,112,a)].
% 0.53/0.83 Derived: -m1_relset_1(f9(A),B,B) | -v1_funct_1(f9(A)) | -v1_partfun1(f9(A),B,B) | -v1_funct_2(f9(A),B,B) | -m1_relset_1(f9(A),C,D) | -v1_funct_1(f9(A)) | -v1_funct_2(f9(A),C,D) | -v2_funct_2(f9(A),C,D) | v3_funct_2(f9(A),C,D). [resolve(118,d,115,a)].
% 0.53/0.83 119 -m2_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) # label(dt_m2_relset_1) # label(axiom). [clausify(33)].
% 0.53/0.83 120 m2_relset_1(k6_partfun1(A),A,A) # label(dt_k6_partfun1) # label(axiom). [clausify(23)].
% 0.53/0.83 121 v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,C,A) | -m1_relset_1(B,C,A) | -v1_funct_1(D) | -v1_funct_2(D,A,E) | -m1_relset_1(D,A,E) | m2_relset_1(k7_funct_2(C,A,E,B,D),C,E) # label(dt_k7_funct_2) # label(axiom). [clausify(25)].
% 0.53/0.83 122 -m1_relset_1(A,B,C) | -m1_relset_1(D,E,F) | m2_relset_1(k7_relset_1(B,C,E,F,A,D),B,F) # label(dt_k7_relset_1) # label(axiom). [clausify(26)].
% 0.53/0.84 123 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(32)].
% 0.53/0.84 Derived: m1_subset_1(k6_partfun1(A),k1_zfmisc_1(k2_zfmisc_1(A,A))). [resolve(119,a,120,a)].
% 0.53/0.84 Derived: m1_subset_1(k7_funct_2(A,B,C,D,E),k1_zfmisc_1(k2_zfmisc_1(A,C))) | v1_xboole_0(B) | -v1_funct_1(D) | -v1_funct_2(D,A,B) | -m1_relset_1(D,A,B) | -v1_funct_1(E) | -v1_funct_2(E,B,C) | -m1_relset_1(E,B,C). [resolve(119,a,121,h)].
% 0.53/0.84 Derived: m1_subset_1(k7_relset_1(A,B,C,D,E,F),k1_zfmisc_1(k2_zfmisc_1(A,D))) | -m1_relset_1(E,A,B) | -m1_relset_1(F,C,D). [resolve(119,a,122,c)].
% 0.53/0.84 Derived: m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_xboole_0(C) | -m1_fraenkel(D,B,C) | -m2_fraenkel(A,B,C,D). [resolve(119,a,123,d)].
% 0.53/0.84 124 m2_relset_1(f5(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(42)].
% 0.53/0.84 Derived: m1_subset_1(f5(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(124,a,119,a)].
% 0.53/0.84 125 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(69)].
% 0.53/0.84 Derived: m1_relset_1(k6_partfun1(A),A,A). [resolve(125,a,120,a)].
% 0.53/0.84 Derived: m1_relset_1(k7_funct_2(A,B,C,D,E),A,C) | v1_xboole_0(B) | -v1_funct_1(D) | -v1_funct_2(D,A,B) | -m1_relset_1(D,A,B) | -v1_funct_1(E) | -v1_funct_2(E,B,C) | -m1_relset_1(E,B,C). [resolve(125,a,121,h)].
% 0.53/0.84 Derived: m1_relset_1(k7_relset_1(A,B,C,D,E,F),A,D) | -m1_relset_1(E,A,B) | -m1_relset_1(F,C,D). [resolve(125,a,122,c)].
% 0.53/0.84 Derived: m1_relset_1(A,B,C) | v1_xboole_0(C) | -m1_fraenkel(D,B,C) | -m2_fraenkel(A,B,C,D). [resolve(125,a,123,d)].
% 0.53/0.84 Derived: m1_relset_1(f5(A,B),A,B). [resolve(125,a,124,a)].
% 0.53/0.84 126 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(69)].
% 0.53/0.84 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(126,a,119,a)].
% 0.53/0.84 127 -m2_relset_1(A,B,C) | k7_relset_1(B,B,B,C,k6_partfun1(B),A) = A # label(t23_funct_2) # label(axiom). [clausify(72)].
% 0.53/0.84 Derived: k7_relset_1(A,A,A,A,k6_partfun1(A),k6_partfun1(A)) = k6_partfun1(A). [resolve(127,a,120,a)].
% 0.53/0.84 Derived: k7_relset_1(A,A,A,B,k6_partfun1(A),k7_funct_2(A,C,B,D,E)) = k7_funct_2(A,C,B,D,E) | v1_xboole_0(C) | -v1_funct_1(D) | -v1_funct_2(D,A,C) | -m1_relset_1(D,A,C) | -v1_funct_1(E) | -v1_funct_2(E,C,B) | -m1_relset_1(E,C,B). [resolve(127,a,121,h)].
% 0.53/0.84 Derived: k7_relset_1(A,A,A,B,k6_partfun1(A),k7_relset_1(A,C,D,B,E,F)) = k7_relset_1(A,C,D,B,E,F) | -m1_relset_1(E,A,C) | -m1_relset_1(F,D,B). [resolve(127,a,122,c)].
% 0.53/0.84 Derived: k7_relset_1(A,A,A,B,k6_partfun1(A),C) = C | v1_xboole_0(B) | -m1_fraenkel(D,A,B) | -m2_fraenkel(C,A,B,D). [resolve(127,a,123,d)].
% 0.53/0.84 Derived: k7_relset_1(A,A,A,B,k6_partfun1(A),f5(A,B)) = f5(A,B). [resolve(127,a,124,a)].
% 0.53/0.84 Derived: k7_relset_1(A,A,A,B,k6_partfun1(A),C) = C | -m1_relset_1(C,A,B). [resolve(127,a,126,a)].
% 0.53/0.84 128 -m2_relset_1(A,B,C) | k7_relset_1(B,C,C,C,A,k6_partfun1(C)) = A # label(t23_funct_2) # label(axiom). [clausify(72)].
% 0.53/0.84 Derived: k7_relset_1(A,B,B,B,k7_funct_2(A,C,B,D,E),k6_partfun1(B)) = k7_funct_2(A,C,B,D,E) | v1_xboole_0(C) | -v1_funct_1(D) | -v1_funct_2(D,A,C) | -m1_relset_1(D,A,C) | -v1_funct_1(E) | -v1_funct_2(E,C,B) | -m1_relset_1(E,C,B). [resolve(128,a,121,h)].
% 0.53/0.84 Derived: k7_relset_1(A,B,B,B,k7_relset_1(A,C,D,B,E,F),k6_partfun1(B)) = k7_relset_1(A,C,D,B,E,F) | -m1_relset_1(E,A,C) | -m1_relset_1(F,D,B). [resolve(128,a,122,c)].
% 0.53/0.84 Derived: k7_relset_1(A,B,B,B,C,k6_partfun1(B)) = C | v1_xboole_0(B) | -m1_fraenkel(D,A,B) | -m2_fraenkel(C,A,B,D). [resolve(128,a,123,d)].
% 0.53/0.84 Derived: k7_relset_1(A,B,B,B,f5(A,B),k6_partfun1(B)) = f5(A,B). [resolve(128,a,124,a)].
% 0.53/0.84 Derived: k7_relset_1(A,B,B,B,C,k6_partfun1(B)) = C | -m1_relset_1(C,A,B). [resolve(128,a,126,a)].
% 0.53/0.84 129 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(91,a,82,d)].
% 0.53/0.84 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | m1_subset_1(u1_group_1(g1_group_1(B,A)),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))),u1_struct_0(g1_group_1(B,A))))). [resolve(129,a,119,a)].
% 0.53/0.84 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | m1_relset_1(u1_group_1(g1_group_1(B,A)),k2_zfmisc_1(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))),u1_struct_0(g1_group_1(B,A))). [resolve(129,a,125,a)].
% 0.53/0.84 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) | k7_relset_1(k2_zfmisc_1(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))),k2_zfmisc_1(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))),k2_zfmisc_1(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))),u1_struct_0(g1_group_1(B,A)),k6_partfun1(k2_zfmisc_1(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)))),u1_group_1(g1_group_1(B,A))) = u1_group_1(g1_group_1(B,A)). [resolve(129,a,127,a)].
% 0.53/0.84 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) | k7_relset_1(k2_zfmisc_1(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),u1_group_1(g1_group_1(B,A)),k6_partfun1(u1_struct_0(g1_group_1(B,A)))) = u1_group_1(g1_group_1(B,A)). [resolve(129,a,128,a)].
% 0.53/0.84 130 m2_relset_1(u1_group_1(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(92,a,91,a)].
% 0.53/0.84 Derived: m1_subset_1(u1_group_1(c1),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)))). [resolve(130,a,119,a)].
% 0.53/0.84 Derived: m1_relset_1(u1_group_1(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(130,a,125,a)].
% 0.53/0.84 Derived: k7_relset_1(k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1),k6_partfun1(k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1))),u1_group_1(c1)) = u1_group_1(c1). [resolve(130,a,127,a)].
% 0.53/0.84 Derived: k7_relset_1(k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1),u1_struct_0(c1),u1_struct_0(c1),u1_group_1(c1),k6_partfun1(u1_struct_0(c1))) = u1_group_1(c1). [resolve(130,a,128,a)].
% 0.53/0.84 131 m2_relset_1(u1_group_1(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(93,a,91,a)].
% 0.53/0.84 Derived: m1_subset_1(u1_group_1(c5),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)))). [resolve(131,a,119,a)].
% 0.53/0.84 Derived: m1_relset_1(u1_group_1(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(131,a,125,a)].
% 0.53/0.84 Derived: k7_relset_1(k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5),k6_partfun1(k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5))),u1_group_1(c5)) = u1_group_1(c5). [resolve(131,a,127,a)].
% 0.53/0.84 Derived: k7_relset_1(k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5),u1_struct_0(c5),u1_struct_0(c5),u1_group_1(c5),k6_partfun1(u1_struct_0(c5))) = u1_group_1(c5). [resolve(131,a,128,a)].
% 0.53/0.84 132 m2_relset_1(u1_group_1(c9),k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9)). [resolve(94,a,91,a)].
% 0.53/0.84 Derived: m1_subset_1(u1_group_1(c9),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9)))). [resolve(132,a,119,a)].
% 0.53/0.84 Derived: m1_relset_1(u1_group_1(c9),k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9)). [resolve(132,a,125,a)].
% 0.53/0.84 Derived: k7_relset_1(k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9),k6_partfun1(k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9))),u1_group_1(c9)) = u1_group_1(c9). [resolve(132,a,127,a)].
% 0.53/0.84 Derived: k7_relset_1(k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9),u1_struct_0(c9),u1_struct_0(c9),u1_group_1(c9),k6_partfun1(u1_struct_0(c9))) = u1_group_1(c9). [resolve(132,a,128,a)].
% 0.53/0.84 133 m2_relset_1(u1_group_1(c12),k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12)). [resolve(95,a,91,a)].
% 0.53/0.84 Derived: m1_subset_1(u1_group_1(c12),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12)))). [resolve(133,a,119,a)].
% 0.53/0.84 Derived: m1_relset_1(u1_group_1(c12),k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12)). [resolve(133,a,125,a)].
% 0.53/0.84 Derived: k7_relset_1(k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12),k6_partfun1(k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12))),u1_group_1(c12)) = u1_group_1(c12). [resolve(133,a,127,a)].
% 0.53/0.84 Derived: k7_relset_1(k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12),u1_struct_0(c12),u1_struct_0(c12),u1_group_1(c12),k6_partfun1(u1_struct_0(c12))) = u1_group_1(c12). [resolve(133,a,128,a)].
% 0.53/0.84 134 m2_relset_1(u1_group_1(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(97,a,91,a)].
% 0.53/0.84 Derived: m1_subset_1(u1_group_1(c14),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)))). [resolve(134,a,119,a)].
% 0.53/0.84 Derived: m1_relset_1(u1_group_1(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(134,a,125,a)].
% 0.53/0.84 Derived: k7_relset_1(k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14),k6_partfun1(k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14))),u1_group_1(c14)) = u1_group_1(c14). [resolve(134,a,127,a)].
% 0.53/0.84 Derived: k7_relset_1(k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14),u1_struct_0(c14),u1_struct_0(c14),u1_group_1(c14),k6_partfun1(u1_struct_0(c14))) = u1_group_1(c14). [resolve(134,a,128,a)].
% 0.53/0.84 135 m1_fraenkel(f1(A,B),A,B) # label(existence_m1_fraenkel) # label(axiom). [clausify(38)].
% 0.53/0.84 136 -m1_fraenkel(A,B,C) | -v1_xboole_0(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(29)].
% 0.53/0.84 137 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(32)].
% 0.53/0.84 138 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(32)].
% 0.53/0.84 Derived: -v1_xboole_0(f1(A,B)). [resolve(135,a,136,a)].
% 0.53/0.84 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f1(C,A)) | v1_funct_1(B). [resolve(135,a,137,b)].
% 0.53/0.84 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f1(C,A)) | v1_funct_2(B,C,A). [resolve(135,a,138,b)].
% 0.53/0.84 139 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | m2_fraenkel(f4(C,A,B),C,A,B) # label(existence_m2_fraenkel) # label(axiom). [clausify(41)].
% 0.53/0.84 Derived: v1_xboole_0(A) | m2_fraenkel(f4(B,A,f1(B,A)),B,A,f1(B,A)). [resolve(139,b,135,a)].
% 0.53/0.84 140 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(68)].
% 0.53/0.84 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f1(C,A)) | m1_subset_1(B,f1(C,A)). [resolve(140,b,135,a)].
% 0.53/0.84 141 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(68)].
% 0.53/0.84 Derived: v1_xboole_0(A) | m2_fraenkel(B,C,A,f1(C,A)) | -m1_subset_1(B,f1(C,A)). [resolve(141,b,135,a)].
% 0.53/0.84 142 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(86,e,82,d)].
% 0.53/0.84 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(142,e,136,a)].
% 0.53/0.84 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(142,e,137,b)].
% 0.53/0.84 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(142,e,138,b)].
% 0.53/0.84 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(f4(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(142,e,139,b)].
% 0.53/0.84 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(142,e,140,b)].
% 0.53/0.84 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(142,e,141,b)].
% 0.53/0.84 143 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(92,a,86,e)].
% 0.53/0.84 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -v1_xboole_0(k4_autgroup(c1)). [resolve(143,e,136,a)].
% 0.53/0.84 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(143,e,137,b)].
% 0.53/0.84 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(143,e,138,b)].
% 0.53/0.84 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(f4(u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)),u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)). [resolve(143,e,139,b)].
% 0.53/0.84 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(143,e,140,b)].
% 0.53/0.84 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(143,e,141,b)].
% 0.53/0.84 144 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(93,a,86,e)].
% 0.53/0.84 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -v1_xboole_0(k4_autgroup(c5)). [resolve(144,e,136,a)].
% 0.53/0.84 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(144,e,137,b)].
% 0.53/0.84 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(144,e,138,b)].
% 0.53/0.84 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(f4(u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)),u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)). [resolve(144,e,139,b)].
% 0.53/0.84 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(144,e,140,b)].
% 0.53/0.84 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(144,e,141,b)].
% 0.53/0.84 145 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(94,a,86,e)].
% 0.53/0.84 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -v1_xboole_0(k4_autgroup(c9)). [resolve(145,e,136,a)].
% 0.53/0.84 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(145,e,137,b)].
% 0.53/0.84 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(145,e,138,b)].
% 0.53/0.84 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(f4(u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)),u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)). [resolve(145,e,139,b)].
% 0.53/0.84 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(145,e,140,b)].
% 0.53/0.84 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(145,e,141,b)].
% 0.53/0.84 146 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(95,a,86,e)].
% 0.53/0.84 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -v1_xboole_0(k4_autgroup(c12)). [resolve(146,e,136,a)].
% 0.53/0.84 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(146,e,137,b)].
% 0.53/0.84 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(146,e,138,b)].
% 0.53/0.84 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(f4(u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)),u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)). [resolve(146,e,139,b)].
% 0.53/0.84 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(146,e,140,b)].
% 0.53/0.84 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(146,e,141,b)].
% 0.53/0.84 147 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(97,a,86,e)].
% 0.53/0.84 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -v1_xboole_0(k4_autgroup(c14)). [resolve(147,e,136,a)].
% 0.53/0.84 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(147,e,137,b)].
% 0.53/0.84 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(147,e,138,b)].
% 0.53/0.84 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(f4(u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)),u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)). [resolve(147,e,139,b)].
% 0.53/0.84 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(147,e,140,b)].
% 0.53/0.84 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(147,e,141,b)].
% 0.53/0.84 148 -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_relat_1(D). [resolve(98,b,99,a)].
% 0.53/0.84 Derived: -m1_subset_1(A,f1(B,C)) | v1_relat_1(A). [resolve(148,a,135,a)].
% 0.53/0.84 Derived: -m1_subset_1(A,k4_autgroup(g1_group_1(B,C))) | v1_relat_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(148,a,142,e)].
% 0.53/0.84 Derived: -m1_subset_1(A,k4_autgroup(c1)) | v1_relat_1(A) | v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1). [resolve(148,a,143,e)].
% 0.53/0.84 Derived: -m1_subset_1(A,k4_autgroup(c5)) | v1_relat_1(A) | v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5). [resolve(148,a,144,e)].
% 0.53/0.84 Derived: -m1_subset_1(A,k4_autgroup(c9)) | v1_relat_1(A) | v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9). [resolve(148,a,145,e)].
% 0.53/0.84 Derived: -m1_subset_1(A,k4_autgroup(c12)) | v1_relat_1(A) | v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12). [resolve(148,a,146,e)].
% 0.53/0.84 Derived: -m1_subset_1(A,k4_autgroup(c14)) | v1_relat_1(A) | v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14). [resolve(148,a,147,e)].
% 0.53/0.84 149 -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_funct_1(D). [resolve(98,b,100,a)].
% 0.53/0.84 Derived: -m1_subset_1(A,f1(B,C)) | v1_funct_1(A). [resolve(149,a,135,a)].
% 0.53/0.84 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(149,a,142,e)].
% 0.53/0.84 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(149,a,143,e)].
% 0.53/0.84 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(149,a,144,e)].
% 0.53/0.84 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(149,a,145,e)].
% 0.53/0.84 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(149,a,146,e)].
% 0.53/0.84 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(149,a,147,e)].
% 0.53/0.84 150 m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_xboole_0(C) | -m1_fraenkel(D,B,C) | -m2_fraenkel(A,B,C,D). [resolve(119,a,123,d)].
% 0.53/0.84 Derived: m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_xboole_0(C) | -m2_fraenkel(A,B,C,f1(B,C)). [resolve(150,c,135,a)].
% 0.53/0.84 Derived: m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(g1_group_1(B,C)),u1_struct_0(g1_group_1(B,C))))) | v1_xboole_0(u1_struct_0(g1_group_1(B,C))) | -m2_fraenkel(A,u1_struct_0(g1_group_1(B,C)),u1_struct_0(g1_group_1(B,C)),k4_autgroup(g1_group_1(B,C))) | 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(150,c,142,e)].
% 0.53/0.84 Derived: m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)))) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1). [resolve(150,c,143,e)].
% 0.53/0.84 Derived: m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)))) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5). [resolve(150,c,144,e)].
% 0.53/0.84 Derived: m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)))) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9). [resolve(150,c,145,e)].
% 0.53/0.84 Derived: m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)))) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12). [resolve(150,c,146,e)].
% 0.53/0.84 Derived: m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)))) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14). [resolve(150,c,147,e)].
% 0.53/0.84 151 m1_relset_1(A,B,C) | v1_xboole_0(C) | -m1_fraenkel(D,B,C) | -m2_fraenkel(A,B,C,D). [resolve(125,a,123,d)].
% 0.53/0.84 Derived: m1_relset_1(A,B,C) | v1_xboole_0(C) | -m2_fraenkel(A,B,C,f1(B,C)). [resolve(151,c,135,a)].
% 0.53/0.84 Derived: m1_relset_1(A,u1_struct_0(g1_group_1(B,C)),u1_struct_0(g1_group_1(B,C))) | v1_xboole_0(u1_struct_0(g1_group_1(B,C))) | -m2_fraenkel(A,u1_struct_0(g1_group_1(B,C)),u1_struct_0(g1_group_1(B,C)),k4_autgroup(g1_group_1(B,C))) | 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(151,c,142,e)].
% 0.53/0.84 Derived: m1_relset_1(A,u1_struct_0(c1),u1_struct_0(c1)) | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1). [resolve(151,c,143,e)].
% 0.53/0.84 Derived: m1_relset_1(A,u1_struct_0(c5),u1_struct_0(c5)) | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5). [resolve(151,c,144,e)].
% 0.53/0.84 Derived: m1_relset_1(A,u1_struct_0(c9),u1_struct_0(c9)) | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9). [resolve(151,c,145,e)].
% 0.53/0.84 Derived: m1_relset_1(A,u1_struct_0(c12),u1_struct_0(c12)) | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12). [resolve(151,c,146,e)].
% 0.53/0.84 Derived: m1_relset_1(A,u1_struct_0(c14),u1_struct_0(c14)) | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14). [resolve(151,c,147,e)].
% 0.53/0.84 152 k7_relset_1(A,A,A,B,k6_partfun1(A),C) = C | v1_xboole_0(B) | -m1_fraenkel(D,A,B) | -m2_fraenkel(C,A,B,D). [resolve(127,a,123,d)].
% 0.53/0.84 Derived: k7_relset_1(A,A,A,B,k6_partfun1(A),C) = C | v1_xboole_0(B) | -m2_fraenkel(C,A,B,f1(A,B)). [resolve(152,c,135,a)].
% 0.53/0.84 Derived: k7_relset_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)),u1_struct_0(g1_group_1(A,B)),k6_partfun1(u1_struct_0(g1_group_1(A,B))),C) = C | 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))) | 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). [resolve(152,c,142,e)].
% 0.53/0.84 Derived: k7_relset_1(u1_struct_0(c1),u1_struct_0(c1),u1_struct_0(c1),u1_struct_0(c1),k6_partfun1(u1_struct_0(c1)),A) = A | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1). [resolve(152,c,143,e)].
% 0.53/0.84 Derived: k7_relset_1(u1_struct_0(c5),u1_struct_0(c5),u1_struct_0(c5),u1_struct_0(c5),k6_partfun1(u1_struct_0(c5)),A) = A | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5). [resolve(152,c,144,e)].
% 0.53/0.84 Derived: k7_relset_1(u1_struct_0(c9),u1_struct_0(c9),u1_struct_0(c9),u1_struct_0(c9),k6_partfun1(u1_struct_0(c9)),A) = A | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9). [resolve(152,c,145,e)].
% 0.53/0.84 Derived: k7_relset_1(u1_struct_0(c12),u1_struct_0(c12),u1_struct_0(c12),u1_struct_0(c12),k6_partfun1(u1_struct_0(c12)),A) = A | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12). [resolve(152,c,146,e)].
% 0.53/0.84 Derived: k7_relset_1(u1_struct_0(c14),u1_struct_0(c14),u1_struct_0(c14),u1_struct_0(c14),k6_partfun1(u1_struct_0(c14)),A) = A | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14). [resolve(152,c,147,e)].
% 0.53/0.84 153 k7_relset_1(A,B,B,B,C,k6_partfun1(B)) = C | v1_xboole_0(B) | -m1_fraenkel(D,A,B) | -m2_fraenkel(C,A,B,D). [resolve(128,a,123,d)].
% 0.53/0.84 Derived: k7_relset_1(A,B,B,B,C,k6_partfun1(B)) = C | v1_xboole_0(B) | -m2_fraenkel(C,A,B,f1(A,B)). [resolve(153,c,135,a)].
% 0.53/0.84 Derived: k7_relset_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)),u1_struct_0(g1_group_1(A,B)),C,k6_partfun1(u1_struct_0(g1_group_1(A,B)))) = C | 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))) | 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). [resolve(153,c,142,e)].
% 0.53/0.84 Derived: k7_relset_1(u1_struct_0(c1),u1_struct_0(c1),u1_struct_0(c1),u1_struct_0(c1),A,k6_partfun1(u1_struct_0(c1))) = A | v1_xboole_0(u1_struct_0(c1)) | -m2_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1),k4_autgroup(c1)) | v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1). [resolve(153,c,143,e)].
% 0.53/0.84 Derived: k7_relset_1(u1_struct_0(c5),u1_struct_0(c5),u1_struct_0(c5),u1_struct_0(c5),A,k6_partfun1(u1_struct_0(c5))) = A | v1_xboole_0(u1_struct_0(c5)) | -m2_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5),k4_autgroup(c5)) | v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5). [resolve(153,c,144,e)].
% 0.53/0.84 Derived: k7_relset_1(u1_struct_0(c9),u1_struct_0(c9),u1_struct_0(c9),u1_struct_0(c9),A,k6_partfun1(u1_struct_0(c9))) = A | v1_xboole_0(u1_struct_0(c9)) | -m2_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9),k4_autgroup(c9)) | v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9). [resolve(153,c,145,e)].
% 0.53/0.84 Derived: k7_relset_1(u1_struct_0(c12),u1_struct_0(c12),u1_struct_0(c12),u1_struct_0(c12),A,k6_partfun1(u1_struct_0(c12))) = A | v1_xboole_0(u1_struct_0(c12)) | -m2_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12),k4_autgroup(c12)) | v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12). [resolve(153,c,146,e)].
% 0.53/0.87 Derived: k7_relset_1(u1_struct_0(c14),u1_struct_0(c14),u1_struct_0(c14),u1_struct_0(c14),A,k6_partfun1(u1_struct_0(c14))) = A | v1_xboole_0(u1_struct_0(c14)) | -m2_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) | v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14). [resolve(153,c,147,e)].
% 0.53/0.87 154 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(45)].
% 0.53/0.87 155 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(37)].
% 0.53/0.87 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(154,b,155,a)].
% 0.53/0.87 156 l1_struct_0(c13) # label(rc3_struct_0) # label(axiom). [clausify(63)].
% 0.53/0.87 Derived: v3_struct_0(c13) | -v1_xboole_0(u1_struct_0(c13)). [resolve(156,a,154,b)].
% 0.53/0.87 157 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(64)].
% 0.53/0.87 Derived: v3_struct_0(c2) | m1_subset_1(f10(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(157,b,155,a)].
% 0.53/0.87 Derived: v3_struct_0(c13) | m1_subset_1(f10(c13),k1_zfmisc_1(u1_struct_0(c13))). [resolve(157,b,156,a)].
% 0.53/0.87 158 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f10(A)) # label(rc5_struct_0) # label(axiom). [clausify(64)].
% 0.53/0.87 Derived: v3_struct_0(c2) | -v1_xboole_0(f10(c2)). [resolve(158,b,155,a)].
% 0.53/0.87 Derived: v3_struct_0(c13) | -v1_xboole_0(f10(c13)). [resolve(158,b,156,a)].
% 0.53/0.87 159 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(88,a,82,d)].
% 0.53/0.87 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(159,a,154,b)].
% 0.53/0.87 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(f10(g1_group_1(B,A)),k1_zfmisc_1(u1_struct_0(g1_group_1(B,A)))). [resolve(159,a,157,b)].
% 0.53/0.87 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(f10(g1_group_1(B,A))). [resolve(159,a,158,b)].
% 0.53/0.87 160 l1_struct_0(c1). [resolve(92,a,88,a)].
% 0.53/0.87 Derived: v3_struct_0(c1) | -v1_xboole_0(u1_struct_0(c1)). [resolve(160,a,154,b)].
% 0.53/0.87 Derived: v3_struct_0(c1) | m1_subset_1(f10(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(160,a,157,b)].
% 0.53/0.87 Derived: v3_struct_0(c1) | -v1_xboole_0(f10(c1)). [resolve(160,a,158,b)].
% 0.53/0.87 161 l1_struct_0(c5). [resolve(93,a,88,a)].
% 0.53/0.87 Derived: v3_struct_0(c5) | -v1_xboole_0(u1_struct_0(c5)). [resolve(161,a,154,b)].
% 0.53/0.87 Derived: v3_struct_0(c5) | m1_subset_1(f10(c5),k1_zfmisc_1(u1_struct_0(c5))). [resolve(161,a,157,b)].
% 0.53/0.87 Derived: v3_struct_0(c5) | -v1_xboole_0(f10(c5)). [resolve(161,a,158,b)].
% 0.53/0.87 162 l1_struct_0(c9). [resolve(94,a,88,a)].
% 0.53/0.87 Derived: v3_struct_0(c9) | -v1_xboole_0(u1_struct_0(c9)). [resolve(162,a,154,b)].
% 0.53/0.87 Derived: v3_struct_0(c9) | m1_subset_1(f10(c9),k1_zfmisc_1(u1_struct_0(c9))). [resolve(162,a,157,b)].
% 0.53/0.87 Derived: v3_struct_0(c9) | -v1_xboole_0(f10(c9)). [resolve(162,a,158,b)].
% 0.53/0.87 163 l1_struct_0(c12). [resolve(95,a,88,a)].
% 0.53/0.87 Derived: v3_struct_0(c12) | -v1_xboole_0(u1_struct_0(c12)). [resolve(163,a,154,b)].
% 0.53/0.87 Derived: v3_struct_0(c12) | m1_subset_1(f10(c12),k1_zfmisc_1(u1_struct_0(c12))). [resolve(163,a,157,b)].
% 0.53/0.87 Derived: v3_struct_0(c12) | -v1_xboole_0(f10(c12)). [resolve(163,a,158,b)].
% 0.53/0.87 164 l1_struct_0(c14). [resolve(97,a,88,a)].
% 0.53/0.87 Derived: v3_struct_0(c14) | -v1_xboole_0(u1_struct_0(c14)). [resolve(164,a,154,b)].
% 0.53/0.87 Derived: v3_struct_0(c14) | m1_subset_1(f10(c14),k1_zfmisc_1(u1_struct_0(c14))). [resolve(164,a,157,b)].
% 0.53/0.87 Derived: v3_struct_0(c14) | -v1_xboole_0(f10(c14)). [resolve(164,a,158,b)].
% 0.53/0.87 165 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(75)].
% 0.53/0.87 166 r1_tarski(A,A) # label(reflexivCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------