TSTP Solution File: GRP627+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP627+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 11:19:59 EDT 2022
% Result : Timeout 300.05s 300.38s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP627+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.11 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Mon Jun 13 10:49:41 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.60/0.92 ============================== Prover9 ===============================
% 0.60/0.92 Prover9 (32) version 2009-11A, November 2009.
% 0.60/0.92 Process 2172 was started by sandbox2 on n032.cluster.edu,
% 0.60/0.92 Mon Jun 13 10:49:42 2022
% 0.60/0.92 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2012_n032.cluster.edu".
% 0.60/0.92 ============================== end of head ===========================
% 0.60/0.92
% 0.60/0.92 ============================== INPUT =================================
% 0.60/0.92
% 0.60/0.92 % Reading from file /tmp/Prover9_2012_n032.cluster.edu
% 0.60/0.92
% 0.60/0.92 set(prolog_style_variables).
% 0.60/0.92 set(auto2).
% 0.60/0.92 % set(auto2) -> set(auto).
% 0.60/0.92 % set(auto) -> set(auto_inference).
% 0.60/0.92 % set(auto) -> set(auto_setup).
% 0.60/0.92 % set(auto_setup) -> set(predicate_elim).
% 0.60/0.92 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.60/0.92 % set(auto) -> set(auto_limits).
% 0.60/0.92 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.60/0.92 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.60/0.92 % set(auto) -> set(auto_denials).
% 0.60/0.92 % set(auto) -> set(auto_process).
% 0.60/0.92 % set(auto2) -> assign(new_constants, 1).
% 0.60/0.92 % set(auto2) -> assign(fold_denial_max, 3).
% 0.60/0.92 % set(auto2) -> assign(max_weight, "200.000").
% 0.60/0.92 % set(auto2) -> assign(max_hours, 1).
% 0.60/0.92 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.60/0.92 % set(auto2) -> assign(max_seconds, 0).
% 0.60/0.92 % set(auto2) -> assign(max_minutes, 5).
% 0.60/0.92 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.60/0.92 % set(auto2) -> set(sort_initial_sos).
% 0.60/0.92 % set(auto2) -> assign(sos_limit, -1).
% 0.60/0.92 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.60/0.92 % set(auto2) -> assign(max_megs, 400).
% 0.60/0.92 % set(auto2) -> assign(stats, some).
% 0.60/0.92 % set(auto2) -> clear(echo_input).
% 0.60/0.92 % set(auto2) -> set(quiet).
% 0.60/0.92 % set(auto2) -> clear(print_initial_clauses).
% 0.60/0.92 % set(auto2) -> clear(print_given).
% 0.60/0.92 assign(lrs_ticks,-1).
% 0.60/0.92 assign(sos_limit,10000).
% 0.60/0.92 assign(order,kbo).
% 0.60/0.92 set(lex_order_vars).
% 0.60/0.92 clear(print_given).
% 0.60/0.92
% 0.60/0.92 % formulas(sos). % not echoed (93 formulas)
% 0.60/0.92
% 0.60/0.92 ============================== end of input ==========================
% 0.60/0.92
% 0.60/0.92 % From the command line: assign(max_seconds, 300).
% 0.60/0.92
% 0.60/0.92 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.60/0.92
% 0.60/0.92 % Formulas that are not ordinary clauses:
% 0.60/0.92 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].
% 0.60/0.92 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 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].
% 0.60/0.92 4 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 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].
% 0.60/0.92 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].
% 0.60/0.92 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].
% 0.60/0.92 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].
% 0.60/0.92 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].
% 0.60/0.92 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].
% 0.60/0.92 11 (all A all B k2_tarski(A,B) = k2_tarski(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 12 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C k1_binop_1(A,B,C) = k1_funct_1(A,k4_tarski(B,C))))) # label(d1_binop_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 13 (all A (-v3_struct_0(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_group_1(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_group_1(A),B,C))))))) # label(d1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 14 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) -> (B = k4_autgroup(A) <-> (all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))) -> (r2_hidden(C,B) <-> (exists D (m1_subset_1(D,u1_struct_0(A)) & (all E (m1_subset_1(E,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(A),C,E) = k2_group_3(A,E,D))))))))))))) # label(d4_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 15 (all A (-v3_struct_0(A) & l1_group_1(A) -> (v4_group_1(A) <-> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> k1_group_1(A,k1_group_1(A,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D))))))))))) # label(d4_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 16 (all A all B k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A))) # label(d5_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 17 (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].
% 0.60/0.92 18 $T # label(dt_k1_binop_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 19 (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].
% 0.60/0.92 20 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 21 $T # label(dt_k1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 22 (all A all B all C (-v3_struct_0(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A)))) # label(dt_k1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 23 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 24 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 25 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 26 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & m1_subset_1(E,A) & m1_subset_1(F,B) -> m1_subset_1(k2_binop_1(A,B,C,D,E,F),C))) # label(dt_k2_binop_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 27 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k2_group_3(A,B,C),u1_struct_0(A)))) # label(dt_k2_group_3) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 28 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 29 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 30 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k3_group_1(A,B),u1_struct_0(A)))) # label(dt_k3_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 31 (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].
% 0.60/0.92 32 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 33 (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].
% 0.60/0.92 34 (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].
% 0.60/0.92 35 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & m1_subset_1(D,A) -> m1_subset_1(k8_funct_2(A,B,C,D),B))) # label(dt_k8_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 36 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 37 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 38 (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].
% 0.60/0.92 39 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 40 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 41 (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].
% 0.60/0.92 42 (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].
% 0.60/0.92 43 (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].
% 0.60/0.92 44 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 45 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 46 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 47 (all A all B exists C m1_fraenkel(C,A,B)) # label(existence_m1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 48 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 49 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 50 (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].
% 0.60/0.92 51 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 52 (all A all B v1_fraenkel(k1_funct_2(A,B))) # label(fc1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 53 (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].
% 0.60/0.92 54 (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].
% 0.60/0.92 55 (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].
% 0.60/0.92 56 (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].
% 0.60/0.92 57 (all A -v1_xboole_0(k1_funct_2(A,A))) # label(fc2_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 58 (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].
% 0.60/0.92 59 (exists A (-v1_xboole_0(A) & v1_fraenkel(A))) # label(rc1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 60 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 61 (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].
% 0.60/0.92 62 (exists A (l1_group_1(A) & v1_group_1(A))) # label(rc1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 63 (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].
% 0.60/0.92 64 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 65 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 66 (exists A (l1_group_1(A) & -v3_struct_0(A) & v1_group_1(A))) # label(rc2_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 67 (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].
% 0.60/0.92 68 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 69 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 70 (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].
% 0.60/0.92 71 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 72 (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].
% 0.60/0.92 73 (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].
% 0.60/0.92 74 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & m1_subset_1(E,A) & m1_subset_1(F,B) -> k2_binop_1(A,B,C,D,E,F) = k1_binop_1(D,E,F))) # label(redefinition_k2_binop_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 75 (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].
% 0.60/0.92 76 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & m1_subset_1(D,A) -> k8_funct_2(A,B,C,D) = k1_funct_1(C,D))) # label(redefinition_k8_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 77 (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].
% 0.60/0.92 78 (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].
% 0.60/0.92 79 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 80 (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].
% 0.60/0.92 81 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 82 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_group_3(A,B,C) = k1_group_1(A,k1_group_1(A,k3_group_1(A,C),B),C) & k2_group_3(A,B,C) = k1_group_1(A,k3_group_1(A,C),k1_group_1(A,B,C)))))))) # label(t20_group_3) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 83 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (v1_relat_1(E) & v1_funct_1(E) -> (r2_hidden(C,A) -> B = k1_xboole_0 | k1_funct_1(k5_relat_1(D,E),C) = k1_funct_1(E,k1_funct_1(D,C))))))) # label(t21_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 84 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k3_group_1(A,k1_group_1(A,B,C)) = k1_group_1(A,k3_group_1(A,C),k3_group_1(A,B)))))))) # label(t25_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 85 (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].
% 0.60/0.92 86 (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].
% 0.60/0.92 87 (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].
% 0.60/0.92 88 (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].
% 0.60/0.92 89 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 90 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 91 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.60/0.92 92 -(all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> (all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> m2_fraenkel(k7_funct_2(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),C,B),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)))))))) # label(t18_autgroup) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.60/0.92
% 0.60/0.92 ============================== end of process non-clausal formulas ===
% 0.60/0.92
% 0.60/0.92 ============================== PROCESS INITIAL CLAUSES ===============
% 0.60/0.92
% 0.60/0.92 ============================== PREDICATE ELIMINATION =================
% 0.60/0.92 93 -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(17)].
% 0.60/0.92 94 -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)].
% 0.60/0.92 95 -l1_group_1(A) | v3_struct_0(A) | -v3_group_1(A) | v2_group_1(A) # label(cc1_group_1) # label(axiom). [clausify(6)].
% 0.60/0.92 96 v3_struct_0(A) | -l1_group_1(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_group_1(A),B,C) = k1_group_1(A,B,C) # label(d1_group_1) # label(axiom). [clausify(13)].
% 0.60/0.92 97 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k4_autgroup(A) != B | -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))) | -r2_hidden(C,B) | m1_subset_1(f1(A,B,C),u1_struct_0(A)) # label(d4_autgroup) # label(axiom). [clausify(14)].
% 0.60/0.92 98 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k4_autgroup(A) != B | -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))) | -r2_hidden(C,B) | -m1_subset_1(D,u1_struct_0(A)) | k2_group_3(A,D,f1(A,B,C)) = k8_funct_2(u1_struct_0(A),u1_struct_0(A),C,D) # label(d4_autgroup) # label(axiom). [clausify(14)].
% 0.60/0.92 99 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k4_autgroup(A) != B | -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))) | r2_hidden(C,B) | -m1_subset_1(D,u1_struct_0(A)) | m1_subset_1(f2(A,B,C,D),u1_struct_0(A)) # label(d4_autgroup) # label(axiom). [clausify(14)].
% 0.60/0.92 100 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k4_autgroup(A) != B | -m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))) | r2_hidden(C,B) | -m1_subset_1(D,u1_struct_0(A)) | k2_group_3(A,f2(A,B,C,D),D) != k8_funct_2(u1_struct_0(A),u1_struct_0(A),C,f2(A,B,C,D)) # label(d4_autgroup) # label(axiom). [clausify(14)].
% 0.60/0.92 101 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k4_autgroup(A) = B | m2_fraenkel(f3(A,B),u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))) # label(d4_autgroup) # label(axiom). [clausify(14)].
% 0.60/0.92 102 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k4_autgroup(A) = B | r2_hidden(f3(A,B),B) | m1_subset_1(f4(A,B),u1_struct_0(A)) # label(d4_autgroup) # label(axiom). [clausify(14)].
% 0.60/0.92 103 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k4_autgroup(A) = B | r2_hidden(f3(A,B),B) | -m1_subset_1(C,u1_struct_0(A)) | k2_group_3(A,C,f4(A,B)) = k8_funct_2(u1_struct_0(A),u1_struct_0(A),f3(A,B),C) # label(d4_autgroup) # label(axiom). [clausify(14)].
% 0.60/0.92 104 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k4_autgroup(A) = B | -r2_hidden(f3(A,B),B) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(f5(A,B,C),u1_struct_0(A)) # label(d4_autgroup) # label(axiom). [clausify(14)].
% 0.60/0.92 105 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) | k4_autgroup(A) = B | -r2_hidden(f3(A,B),B) | -m1_subset_1(C,u1_struct_0(A)) | k2_group_3(A,f5(A,B,C),C) != k8_funct_2(u1_struct_0(A),u1_struct_0(A),f3(A,B),f5(A,B,C)) # label(d4_autgroup) # label(axiom). [clausify(14)].
% 0.60/0.92 106 v3_struct_0(A) | -l1_group_1(A) | -v4_group_1(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -m1_subset_1(D,u1_struct_0(A)) | k1_group_1(A,k1_group_1(A,B,C),D) = k1_group_1(A,B,k1_group_1(A,C,D)) # label(d4_group_1) # label(axiom). [clausify(15)].
% 0.60/0.92 107 v3_struct_0(A) | -l1_group_1(A) | v4_group_1(A) | m1_subset_1(f6(A),u1_struct_0(A)) # label(d4_group_1) # label(axiom). [clausify(15)].
% 0.60/0.92 108 v3_struct_0(A) | -l1_group_1(A) | v4_group_1(A) | m1_subset_1(f7(A),u1_struct_0(A)) # label(d4_group_1) # label(axiom). [clausify(15)].
% 0.60/0.92 109 v3_struct_0(A) | -l1_group_1(A) | v4_group_1(A) | m1_subset_1(f8(A),u1_struct_0(A)) # label(d4_group_1) # label(axiom). [clausify(15)].
% 0.60/0.92 110 v3_struct_0(A) | -l1_group_1(A) | v4_group_1(A) | k1_group_1(A,k1_group_1(A,f6(A),f7(A)),f8(A)) != k1_group_1(A,f6(A),k1_group_1(A,f7(A),f8(A))) # label(d4_group_1) # label(axiom). [clausify(15)].
% 0.60/0.92 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(93,d,94,a)].
% 0.60/0.92 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(93,d,95,a)].
% 0.60/0.92 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(C,u1_struct_0(g1_group_1(B,A))) | -m1_subset_1(D,u1_struct_0(g1_group_1(B,A))) | k2_binop_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_group_1(g1_group_1(B,A)),C,D) = k1_group_1(g1_group_1(B,A),C,D). [resolve(93,d,96,b)].
% 0.60/0.92 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_group_1(g1_group_1(B,A)) | -v3_group_1(g1_group_1(B,A)) | -v4_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k4_autgroup(g1_group_1(B,A)) != C | -m2_fraenkel(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),k1_fraenkel(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)))) | -r2_hidden(D,C) | m1_subset_1(f1(g1_group_1(B,A),C,D),u1_struct_0(g1_group_1(B,A))). [resolve(93,d,97,e)].
% 0.60/0.92 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_group_1(g1_group_1(B,A)) | -v3_group_1(g1_group_1(B,A)) | -v4_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k4_autgroup(g1_group_1(B,A)) != C | -m2_fraenkel(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),k1_fraenkel(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)))) | -r2_hidden(D,C) | -m1_subset_1(E,u1_struct_0(g1_group_1(B,A))) | k2_group_3(g1_group_1(B,A),E,f1(g1_group_1(B,A),C,D)) = k8_funct_2(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),D,E). [resolve(93,d,98,e)].
% 0.60/0.92 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_group_1(g1_group_1(B,A)) | -v3_group_1(g1_group_1(B,A)) | -v4_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k4_autgroup(g1_group_1(B,A)) != C | -m2_fraenkel(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),k1_fraenkel(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)))) | r2_hidden(D,C) | -m1_subset_1(E,u1_struct_0(g1_group_1(B,A))) | m1_subset_1(f2(g1_group_1(B,A),C,D,E),u1_struct_0(g1_group_1(B,A))). [resolve(93,d,99,e)].
% 0.60/0.92 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_group_1(g1_group_1(B,A)) | -v3_group_1(g1_group_1(B,A)) | -v4_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k4_autgroup(g1_group_1(B,A)) != C | -m2_fraenkel(D,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),k1_fraenkel(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)))) | r2_hidden(D,C) | -m1_subset_1(E,u1_struct_0(g1_group_1(B,A))) | k2_group_3(g1_group_1(B,A),f2(g1_group_1(B,A),C,D,E),E) != k8_funct_2(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),D,f2(g1_group_1(B,A),C,D,E)). [resolve(93,d,100,e)].
% 0.60/0.92 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_group_1(g1_group_1(B,A)) | -v3_group_1(g1_group_1(B,A)) | -v4_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k4_autgroup(g1_group_1(B,A)) = C | m2_fraenkel(f3(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),k1_fraenkel(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)))). [resolve(93,d,101,e)].
% 0.60/0.92 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_group_1(g1_group_1(B,A)) | -v3_group_1(g1_group_1(B,A)) | -v4_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k4_autgroup(g1_group_1(B,A)) = C | r2_hidden(f3(g1_group_1(B,A),C),C) | m1_subset_1(f4(g1_group_1(B,A),C),u1_struct_0(g1_group_1(B,A))). [resolve(93,d,102,e)].
% 0.60/0.92 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_group_1(g1_group_1(B,A)) | -v3_group_1(g1_group_1(B,A)) | -v4_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k4_autgroup(g1_group_1(B,A)) = C | r2_hidden(f3(g1_group_1(B,A),C),C) | -m1_subset_1(D,u1_struct_0(g1_group_1(B,A))) | k2_group_3(g1_group_1(B,A),D,f4(g1_group_1(B,A),C)) = k8_funct_2(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),f3(g1_group_1(B,A),C),D). [resolve(93,d,103,e)].
% 0.60/0.92 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_group_1(g1_group_1(B,A)) | -v3_group_1(g1_group_1(B,A)) | -v4_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k4_autgroup(g1_group_1(B,A)) = C | -r2_hidden(f3(g1_group_1(B,A),C),C) | -m1_subset_1(D,u1_struct_0(g1_group_1(B,A))) | m1_subset_1(f5(g1_group_1(B,A),C,D),u1_struct_0(g1_group_1(B,A))). [resolve(93,d,104,e)].
% 0.63/0.93 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_group_1(g1_group_1(B,A)) | -v3_group_1(g1_group_1(B,A)) | -v4_group_1(g1_group_1(B,A)) | -m1_fraenkel(C,u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))) | k4_autgroup(g1_group_1(B,A)) = C | -r2_hidden(f3(g1_group_1(B,A),C),C) | -m1_subset_1(D,u1_struct_0(g1_group_1(B,A))) | k2_group_3(g1_group_1(B,A),f5(g1_group_1(B,A),C,D),D) != k8_funct_2(u1_struct_0(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A)),f3(g1_group_1(B,A),C),f5(g1_group_1(B,A),C,D)). [resolve(93,d,105,e)].
% 0.63/0.93 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)) | -v4_group_1(g1_group_1(B,A)) | -m1_subset_1(C,u1_struct_0(g1_group_1(B,A))) | -m1_subset_1(D,u1_struct_0(g1_group_1(B,A))) | -m1_subset_1(E,u1_struct_0(g1_group_1(B,A))) | k1_group_1(g1_group_1(B,A),k1_group_1(g1_group_1(B,A),C,D),E) = k1_group_1(g1_group_1(B,A),C,k1_group_1(g1_group_1(B,A),D,E)). [resolve(93,d,106,b)].
% 0.63/0.93 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)) | v4_group_1(g1_group_1(B,A)) | m1_subset_1(f6(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))). [resolve(93,d,107,b)].
% 0.63/0.93 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)) | v4_group_1(g1_group_1(B,A)) | m1_subset_1(f7(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))). [resolve(93,d,108,b)].
% 0.63/0.93 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)) | v4_group_1(g1_group_1(B,A)) | m1_subset_1(f8(g1_group_1(B,A)),u1_struct_0(g1_group_1(B,A))). [resolve(93,d,109,b)].
% 0.63/0.93 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)) | v4_group_1(g1_group_1(B,A)) | k1_group_1(g1_group_1(B,A),k1_group_1(g1_group_1(B,A),f6(g1_group_1(B,A)),f7(g1_group_1(B,A))),f8(g1_group_1(B,A))) != k1_group_1(g1_group_1(B,A),f6(g1_group_1(B,A)),k1_group_1(g1_group_1(B,A),f7(g1_group_1(B,A)),f8(g1_group_1(B,A)))). [resolve(93,d,110,b)].
% 0.63/0.93 111 v3_struct_0(A) | -l1_group_1(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k1_group_1(A,B,C),u1_struct_0(A)) # label(dt_k1_group_1) # label(axiom). [clausify(22)].
% 0.63/0.93 Derived: v3_struct_0(g1_group_1(A,B)) | -m1_subset_1(C,u1_struct_0(g1_group_1(A,B))) | -m1_subset_1(D,u1_struct_0(g1_group_1(A,B))) | m1_subset_1(k1_group_1(g1_group_1(A,B),C,D),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(111,b,93,d)].
% 0.63/0.93 112 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k2_group_3(A,B,C),u1_struct_0(A)) # label(dt_k2_group_3) # label(axiom). [clausify(27)].
% 0.63/0.93 Derived: v3_struct_0(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -m1_subset_1(C,u1_struct_0(g1_group_1(A,B))) | -m1_subset_1(D,u1_struct_0(g1_group_1(A,B))) | m1_subset_1(k2_group_3(g1_group_1(A,B),C,D),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(112,d,93,d)].
% 0.63/0.93 113 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_subset_1(B,u1_struct_0(A)) | m1_subset_1(k3_group_1(A,B),u1_struct_0(A)) # label(dt_k3_group_1) # label(axiom). [clausify(30)].
% 0.63/0.93 Derived: v3_struct_0(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -m1_subset_1(C,u1_struct_0(g1_group_1(A,B))) | m1_subset_1(k3_group_1(g1_group_1(A,B),C),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(113,d,93,d)].
% 0.63/0.93 114 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(31)].
% 0.63/0.93 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(114,e,93,d)].
% 0.63/0.93 115 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(36)].
% 0.63/0.93 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(115,a,93,d)].
% 0.63/0.93 116 -l1_group_1(A) | v1_funct_1(u1_group_1(A)) # label(dt_u1_group_1) # label(axiom). [clausify(43)].
% 0.63/0.93 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(116,a,93,d)].
% 0.63/0.93 117 -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(43)].
% 0.63/0.93 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(117,a,93,d)].
% 0.63/0.93 118 -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(43)].
% 0.63/0.93 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(118,a,93,d)].
% 0.63/0.93 119 l1_group_1(c1) # label(existence_l1_group_1) # label(axiom). [clausify(45)].
% 0.63/0.93 Derived: -v1_group_1(c1) | g1_group_1(u1_struct_0(c1),u1_group_1(c1)) = c1. [resolve(119,a,94,a)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -v3_group_1(c1) | v2_group_1(c1). [resolve(119,a,95,a)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | k2_binop_1(u1_struct_0(c1),u1_struct_0(c1),u1_struct_0(c1),u1_group_1(c1),A,B) = k1_group_1(c1,A,B). [resolve(119,a,96,b)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m1_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1)) | k4_autgroup(c1) != A | -m2_fraenkel(B,u1_struct_0(c1),u1_struct_0(c1),k1_fraenkel(u1_struct_0(c1),u1_struct_0(c1))) | -r2_hidden(B,A) | m1_subset_1(f1(c1,A,B),u1_struct_0(c1)). [resolve(119,a,97,e)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m1_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1)) | k4_autgroup(c1) != A | -m2_fraenkel(B,u1_struct_0(c1),u1_struct_0(c1),k1_fraenkel(u1_struct_0(c1),u1_struct_0(c1))) | -r2_hidden(B,A) | -m1_subset_1(C,u1_struct_0(c1)) | k2_group_3(c1,C,f1(c1,A,B)) = k8_funct_2(u1_struct_0(c1),u1_struct_0(c1),B,C). [resolve(119,a,98,e)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m1_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1)) | k4_autgroup(c1) != A | -m2_fraenkel(B,u1_struct_0(c1),u1_struct_0(c1),k1_fraenkel(u1_struct_0(c1),u1_struct_0(c1))) | r2_hidden(B,A) | -m1_subset_1(C,u1_struct_0(c1)) | m1_subset_1(f2(c1,A,B,C),u1_struct_0(c1)). [resolve(119,a,99,e)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m1_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1)) | k4_autgroup(c1) != A | -m2_fraenkel(B,u1_struct_0(c1),u1_struct_0(c1),k1_fraenkel(u1_struct_0(c1),u1_struct_0(c1))) | r2_hidden(B,A) | -m1_subset_1(C,u1_struct_0(c1)) | k2_group_3(c1,f2(c1,A,B,C),C) != k8_funct_2(u1_struct_0(c1),u1_struct_0(c1),B,f2(c1,A,B,C)). [resolve(119,a,100,e)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m1_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1)) | k4_autgroup(c1) = A | m2_fraenkel(f3(c1,A),u1_struct_0(c1),u1_struct_0(c1),k1_fraenkel(u1_struct_0(c1),u1_struct_0(c1))). [resolve(119,a,101,e)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m1_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1)) | k4_autgroup(c1) = A | r2_hidden(f3(c1,A),A) | m1_subset_1(f4(c1,A),u1_struct_0(c1)). [resolve(119,a,102,e)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m1_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1)) | k4_autgroup(c1) = A | r2_hidden(f3(c1,A),A) | -m1_subset_1(B,u1_struct_0(c1)) | k2_group_3(c1,B,f4(c1,A)) = k8_funct_2(u1_struct_0(c1),u1_struct_0(c1),f3(c1,A),B). [resolve(119,a,103,e)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m1_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1)) | k4_autgroup(c1) = A | -r2_hidden(f3(c1,A),A) | -m1_subset_1(B,u1_struct_0(c1)) | m1_subset_1(f5(c1,A,B),u1_struct_0(c1)). [resolve(119,a,104,e)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -v1_group_1(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m1_fraenkel(A,u1_struct_0(c1),u1_struct_0(c1)) | k4_autgroup(c1) = A | -r2_hidden(f3(c1,A),A) | -m1_subset_1(B,u1_struct_0(c1)) | k2_group_3(c1,f5(c1,A,B),B) != k8_funct_2(u1_struct_0(c1),u1_struct_0(c1),f3(c1,A),f5(c1,A,B)). [resolve(119,a,105,e)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -v4_group_1(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | -m1_subset_1(C,u1_struct_0(c1)) | k1_group_1(c1,k1_group_1(c1,A,B),C) = k1_group_1(c1,A,k1_group_1(c1,B,C)). [resolve(119,a,106,b)].
% 0.63/0.93 Derived: v3_struct_0(c1) | v4_group_1(c1) | m1_subset_1(f6(c1),u1_struct_0(c1)). [resolve(119,a,107,b)].
% 0.63/0.93 Derived: v3_struct_0(c1) | v4_group_1(c1) | m1_subset_1(f7(c1),u1_struct_0(c1)). [resolve(119,a,108,b)].
% 0.63/0.93 Derived: v3_struct_0(c1) | v4_group_1(c1) | m1_subset_1(f8(c1),u1_struct_0(c1)). [resolve(119,a,109,b)].
% 0.63/0.93 Derived: v3_struct_0(c1) | v4_group_1(c1) | k1_group_1(c1,k1_group_1(c1,f6(c1),f7(c1)),f8(c1)) != k1_group_1(c1,f6(c1),k1_group_1(c1,f7(c1),f8(c1))). [resolve(119,a,110,b)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | m1_subset_1(k1_group_1(c1,A,B),u1_struct_0(c1)). [resolve(119,a,111,b)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | m1_subset_1(k2_group_3(c1,A,B),u1_struct_0(c1)). [resolve(119,a,112,d)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m1_subset_1(A,u1_struct_0(c1)) | m1_subset_1(k3_group_1(c1,A),u1_struct_0(c1)). [resolve(119,a,113,d)].
% 0.63/0.93 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(119,a,114,e)].
% 0.63/0.93 Derived: l1_struct_0(c1). [resolve(119,a,115,a)].
% 0.63/0.93 Derived: v1_funct_1(u1_group_1(c1)). [resolve(119,a,116,a)].
% 0.63/0.93 Derived: v1_funct_2(u1_group_1(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(119,a,117,a)].
% 0.63/0.93 Derived: m2_relset_1(u1_group_1(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(119,a,118,a)].
% 0.63/0.93 120 l1_group_1(c5) # label(rc1_group_1) # label(axiom). [clausify(62)].
% 0.63/0.93 Derived: -v1_group_1(c5) | g1_group_1(u1_struct_0(c5),u1_group_1(c5)) = c5. [resolve(120,a,94,a)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -v3_group_1(c5) | v2_group_1(c5). [resolve(120,a,95,a)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | k2_binop_1(u1_struct_0(c5),u1_struct_0(c5),u1_struct_0(c5),u1_group_1(c5),A,B) = k1_group_1(c5,A,B). [resolve(120,a,96,b)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k4_autgroup(c5) != A | -m2_fraenkel(B,u1_struct_0(c5),u1_struct_0(c5),k1_fraenkel(u1_struct_0(c5),u1_struct_0(c5))) | -r2_hidden(B,A) | m1_subset_1(f1(c5,A,B),u1_struct_0(c5)). [resolve(120,a,97,e)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k4_autgroup(c5) != A | -m2_fraenkel(B,u1_struct_0(c5),u1_struct_0(c5),k1_fraenkel(u1_struct_0(c5),u1_struct_0(c5))) | -r2_hidden(B,A) | -m1_subset_1(C,u1_struct_0(c5)) | k2_group_3(c5,C,f1(c5,A,B)) = k8_funct_2(u1_struct_0(c5),u1_struct_0(c5),B,C). [resolve(120,a,98,e)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k4_autgroup(c5) != A | -m2_fraenkel(B,u1_struct_0(c5),u1_struct_0(c5),k1_fraenkel(u1_struct_0(c5),u1_struct_0(c5))) | r2_hidden(B,A) | -m1_subset_1(C,u1_struct_0(c5)) | m1_subset_1(f2(c5,A,B,C),u1_struct_0(c5)). [resolve(120,a,99,e)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k4_autgroup(c5) != A | -m2_fraenkel(B,u1_struct_0(c5),u1_struct_0(c5),k1_fraenkel(u1_struct_0(c5),u1_struct_0(c5))) | r2_hidden(B,A) | -m1_subset_1(C,u1_struct_0(c5)) | k2_group_3(c5,f2(c5,A,B,C),C) != k8_funct_2(u1_struct_0(c5),u1_struct_0(c5),B,f2(c5,A,B,C)). [resolve(120,a,100,e)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k4_autgroup(c5) = A | m2_fraenkel(f3(c5,A),u1_struct_0(c5),u1_struct_0(c5),k1_fraenkel(u1_struct_0(c5),u1_struct_0(c5))). [resolve(120,a,101,e)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k4_autgroup(c5) = A | r2_hidden(f3(c5,A),A) | m1_subset_1(f4(c5,A),u1_struct_0(c5)). [resolve(120,a,102,e)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k4_autgroup(c5) = A | r2_hidden(f3(c5,A),A) | -m1_subset_1(B,u1_struct_0(c5)) | k2_group_3(c5,B,f4(c5,A)) = k8_funct_2(u1_struct_0(c5),u1_struct_0(c5),f3(c5,A),B). [resolve(120,a,103,e)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k4_autgroup(c5) = A | -r2_hidden(f3(c5,A),A) | -m1_subset_1(B,u1_struct_0(c5)) | m1_subset_1(f5(c5,A,B),u1_struct_0(c5)). [resolve(120,a,104,e)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -v1_group_1(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m1_fraenkel(A,u1_struct_0(c5),u1_struct_0(c5)) | k4_autgroup(c5) = A | -r2_hidden(f3(c5,A),A) | -m1_subset_1(B,u1_struct_0(c5)) | k2_group_3(c5,f5(c5,A,B),B) != k8_funct_2(u1_struct_0(c5),u1_struct_0(c5),f3(c5,A),f5(c5,A,B)). [resolve(120,a,105,e)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -v4_group_1(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | -m1_subset_1(C,u1_struct_0(c5)) | k1_group_1(c5,k1_group_1(c5,A,B),C) = k1_group_1(c5,A,k1_group_1(c5,B,C)). [resolve(120,a,106,b)].
% 0.63/0.93 Derived: v3_struct_0(c5) | v4_group_1(c5) | m1_subset_1(f6(c5),u1_struct_0(c5)). [resolve(120,a,107,b)].
% 0.63/0.93 Derived: v3_struct_0(c5) | v4_group_1(c5) | m1_subset_1(f7(c5),u1_struct_0(c5)). [resolve(120,a,108,b)].
% 0.63/0.93 Derived: v3_struct_0(c5) | v4_group_1(c5) | m1_subset_1(f8(c5),u1_struct_0(c5)). [resolve(120,a,109,b)].
% 0.63/0.93 Derived: v3_struct_0(c5) | v4_group_1(c5) | k1_group_1(c5,k1_group_1(c5,f6(c5),f7(c5)),f8(c5)) != k1_group_1(c5,f6(c5),k1_group_1(c5,f7(c5),f8(c5))). [resolve(120,a,110,b)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | m1_subset_1(k1_group_1(c5,A,B),u1_struct_0(c5)). [resolve(120,a,111,b)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | m1_subset_1(k2_group_3(c5,A,B),u1_struct_0(c5)). [resolve(120,a,112,d)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m1_subset_1(A,u1_struct_0(c5)) | m1_subset_1(k3_group_1(c5,A),u1_struct_0(c5)). [resolve(120,a,113,d)].
% 0.63/0.93 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(120,a,114,e)].
% 0.63/0.93 Derived: l1_struct_0(c5). [resolve(120,a,115,a)].
% 0.63/0.93 Derived: v1_funct_1(u1_group_1(c5)). [resolve(120,a,116,a)].
% 0.63/0.93 Derived: v1_funct_2(u1_group_1(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(120,a,117,a)].
% 0.63/0.93 Derived: m2_relset_1(u1_group_1(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(120,a,118,a)].
% 0.63/0.93 121 l1_group_1(c9) # label(rc2_group_1) # label(axiom). [clausify(66)].
% 0.63/0.93 Derived: -v1_group_1(c9) | g1_group_1(u1_struct_0(c9),u1_group_1(c9)) = c9. [resolve(121,a,94,a)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -v3_group_1(c9) | v2_group_1(c9). [resolve(121,a,95,a)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -m1_subset_1(A,u1_struct_0(c9)) | -m1_subset_1(B,u1_struct_0(c9)) | k2_binop_1(u1_struct_0(c9),u1_struct_0(c9),u1_struct_0(c9),u1_group_1(c9),A,B) = k1_group_1(c9,A,B). [resolve(121,a,96,b)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k4_autgroup(c9) != A | -m2_fraenkel(B,u1_struct_0(c9),u1_struct_0(c9),k1_fraenkel(u1_struct_0(c9),u1_struct_0(c9))) | -r2_hidden(B,A) | m1_subset_1(f1(c9,A,B),u1_struct_0(c9)). [resolve(121,a,97,e)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k4_autgroup(c9) != A | -m2_fraenkel(B,u1_struct_0(c9),u1_struct_0(c9),k1_fraenkel(u1_struct_0(c9),u1_struct_0(c9))) | -r2_hidden(B,A) | -m1_subset_1(C,u1_struct_0(c9)) | k2_group_3(c9,C,f1(c9,A,B)) = k8_funct_2(u1_struct_0(c9),u1_struct_0(c9),B,C). [resolve(121,a,98,e)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k4_autgroup(c9) != A | -m2_fraenkel(B,u1_struct_0(c9),u1_struct_0(c9),k1_fraenkel(u1_struct_0(c9),u1_struct_0(c9))) | r2_hidden(B,A) | -m1_subset_1(C,u1_struct_0(c9)) | m1_subset_1(f2(c9,A,B,C),u1_struct_0(c9)). [resolve(121,a,99,e)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k4_autgroup(c9) != A | -m2_fraenkel(B,u1_struct_0(c9),u1_struct_0(c9),k1_fraenkel(u1_struct_0(c9),u1_struct_0(c9))) | r2_hidden(B,A) | -m1_subset_1(C,u1_struct_0(c9)) | k2_group_3(c9,f2(c9,A,B,C),C) != k8_funct_2(u1_struct_0(c9),u1_struct_0(c9),B,f2(c9,A,B,C)). [resolve(121,a,100,e)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k4_autgroup(c9) = A | m2_fraenkel(f3(c9,A),u1_struct_0(c9),u1_struct_0(c9),k1_fraenkel(u1_struct_0(c9),u1_struct_0(c9))). [resolve(121,a,101,e)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k4_autgroup(c9) = A | r2_hidden(f3(c9,A),A) | m1_subset_1(f4(c9,A),u1_struct_0(c9)). [resolve(121,a,102,e)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k4_autgroup(c9) = A | r2_hidden(f3(c9,A),A) | -m1_subset_1(B,u1_struct_0(c9)) | k2_group_3(c9,B,f4(c9,A)) = k8_funct_2(u1_struct_0(c9),u1_struct_0(c9),f3(c9,A),B). [resolve(121,a,103,e)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k4_autgroup(c9) = A | -r2_hidden(f3(c9,A),A) | -m1_subset_1(B,u1_struct_0(c9)) | m1_subset_1(f5(c9,A,B),u1_struct_0(c9)). [resolve(121,a,104,e)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -v1_group_1(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m1_fraenkel(A,u1_struct_0(c9),u1_struct_0(c9)) | k4_autgroup(c9) = A | -r2_hidden(f3(c9,A),A) | -m1_subset_1(B,u1_struct_0(c9)) | k2_group_3(c9,f5(c9,A,B),B) != k8_funct_2(u1_struct_0(c9),u1_struct_0(c9),f3(c9,A),f5(c9,A,B)). [resolve(121,a,105,e)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -v4_group_1(c9) | -m1_subset_1(A,u1_struct_0(c9)) | -m1_subset_1(B,u1_struct_0(c9)) | -m1_subset_1(C,u1_struct_0(c9)) | k1_group_1(c9,k1_group_1(c9,A,B),C) = k1_group_1(c9,A,k1_group_1(c9,B,C)). [resolve(121,a,106,b)].
% 0.63/0.93 Derived: v3_struct_0(c9) | v4_group_1(c9) | m1_subset_1(f6(c9),u1_struct_0(c9)). [resolve(121,a,107,b)].
% 0.63/0.93 Derived: v3_struct_0(c9) | v4_group_1(c9) | m1_subset_1(f7(c9),u1_struct_0(c9)). [resolve(121,a,108,b)].
% 0.63/0.93 Derived: v3_struct_0(c9) | v4_group_1(c9) | m1_subset_1(f8(c9),u1_struct_0(c9)). [resolve(121,a,109,b)].
% 0.63/0.93 Derived: v3_struct_0(c9) | v4_group_1(c9) | k1_group_1(c9,k1_group_1(c9,f6(c9),f7(c9)),f8(c9)) != k1_group_1(c9,f6(c9),k1_group_1(c9,f7(c9),f8(c9))). [resolve(121,a,110,b)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -m1_subset_1(A,u1_struct_0(c9)) | -m1_subset_1(B,u1_struct_0(c9)) | m1_subset_1(k1_group_1(c9,A,B),u1_struct_0(c9)). [resolve(121,a,111,b)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m1_subset_1(A,u1_struct_0(c9)) | -m1_subset_1(B,u1_struct_0(c9)) | m1_subset_1(k2_group_3(c9,A,B),u1_struct_0(c9)). [resolve(121,a,112,d)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m1_subset_1(A,u1_struct_0(c9)) | m1_subset_1(k3_group_1(c9,A),u1_struct_0(c9)). [resolve(121,a,113,d)].
% 0.63/0.93 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(121,a,114,e)].
% 0.63/0.93 Derived: l1_struct_0(c9). [resolve(121,a,115,a)].
% 0.63/0.93 Derived: v1_funct_1(u1_group_1(c9)). [resolve(121,a,116,a)].
% 0.63/0.93 Derived: v1_funct_2(u1_group_1(c9),k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9)). [resolve(121,a,117,a)].
% 0.63/0.93 Derived: m2_relset_1(u1_group_1(c9),k2_zfmisc_1(u1_struct_0(c9),u1_struct_0(c9)),u1_struct_0(c9)). [resolve(121,a,118,a)].
% 0.63/0.93 122 l1_group_1(c12) # label(rc3_group_1) # label(axiom). [clausify(70)].
% 0.63/0.93 Derived: -v1_group_1(c12) | g1_group_1(u1_struct_0(c12),u1_group_1(c12)) = c12. [resolve(122,a,94,a)].
% 0.63/0.93 Derived: v3_struct_0(c12) | -m1_subset_1(A,u1_struct_0(c12)) | -m1_subset_1(B,u1_struct_0(c12)) | k2_binop_1(u1_struct_0(c12),u1_struct_0(c12),u1_struct_0(c12),u1_group_1(c12),A,B) = k1_group_1(c12,A,B). [resolve(122,a,96,b)].
% 0.63/0.93 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k4_autgroup(c12) != A | -m2_fraenkel(B,u1_struct_0(c12),u1_struct_0(c12),k1_fraenkel(u1_struct_0(c12),u1_struct_0(c12))) | -r2_hidden(B,A) | m1_subset_1(f1(c12,A,B),u1_struct_0(c12)). [resolve(122,a,97,e)].
% 0.63/0.93 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k4_autgroup(c12) != A | -m2_fraenkel(B,u1_struct_0(c12),u1_struct_0(c12),k1_fraenkel(u1_struct_0(c12),u1_struct_0(c12))) | -r2_hidden(B,A) | -m1_subset_1(C,u1_struct_0(c12)) | k2_group_3(c12,C,f1(c12,A,B)) = k8_funct_2(u1_struct_0(c12),u1_struct_0(c12),B,C). [resolve(122,a,98,e)].
% 0.63/0.93 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k4_autgroup(c12) != A | -m2_fraenkel(B,u1_struct_0(c12),u1_struct_0(c12),k1_fraenkel(u1_struct_0(c12),u1_struct_0(c12))) | r2_hidden(B,A) | -m1_subset_1(C,u1_struct_0(c12)) | m1_subset_1(f2(c12,A,B,C),u1_struct_0(c12)). [resolve(122,a,99,e)].
% 0.63/0.93 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k4_autgroup(c12) != A | -m2_fraenkel(B,u1_struct_0(c12),u1_struct_0(c12),k1_fraenkel(u1_struct_0(c12),u1_struct_0(c12))) | r2_hidden(B,A) | -m1_subset_1(C,u1_struct_0(c12)) | k2_group_3(c12,f2(c12,A,B,C),C) != k8_funct_2(u1_struct_0(c12),u1_struct_0(c12),B,f2(c12,A,B,C)). [resolve(122,a,100,e)].
% 0.63/0.93 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k4_autgroup(c12) = A | m2_fraenkel(f3(c12,A),u1_struct_0(c12),u1_struct_0(c12),k1_fraenkel(u1_struct_0(c12),u1_struct_0(c12))). [resolve(122,a,101,e)].
% 0.63/0.93 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k4_autgroup(c12) = A | r2_hidden(f3(c12,A),A) | m1_subset_1(f4(c12,A),u1_struct_0(c12)). [resolve(122,a,102,e)].
% 0.63/0.93 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k4_autgroup(c12) = A | r2_hidden(f3(c12,A),A) | -m1_subset_1(B,u1_struct_0(c12)) | k2_group_3(c12,B,f4(c12,A)) = k8_funct_2(u1_struct_0(c12),u1_struct_0(c12),f3(c12,A),B). [resolve(122,a,103,e)].
% 0.63/0.93 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k4_autgroup(c12) = A | -r2_hidden(f3(c12,A),A) | -m1_subset_1(B,u1_struct_0(c12)) | m1_subset_1(f5(c12,A,B),u1_struct_0(c12)). [resolve(122,a,104,e)].
% 0.63/0.93 Derived: v3_struct_0(c12) | -v1_group_1(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m1_fraenkel(A,u1_struct_0(c12),u1_struct_0(c12)) | k4_autgroup(c12) = A | -r2_hidden(f3(c12,A),A) | -m1_subset_1(B,u1_struct_0(c12)) | k2_group_3(c12,f5(c12,A,B),B) != k8_funct_2(u1_struct_0(c12),u1_struct_0(c12),f3(c12,A),f5(c12,A,B)). [resolve(122,a,105,e)].
% 0.63/0.93 Derived: v3_struct_0(c12) | -v4_group_1(c12) | -m1_subset_1(A,u1_struct_0(c12)) | -m1_subset_1(B,u1_struct_0(c12)) | -m1_subset_1(C,u1_struct_0(c12)) | k1_group_1(c12,k1_group_1(c12,A,B),C) = k1_group_1(c12,A,k1_group_1(c12,B,C)). [resolve(122,a,106,b)].
% 0.63/0.93 Derived: v3_struct_0(c12) | -m1_subset_1(A,u1_struct_0(c12)) | -m1_subset_1(B,u1_struct_0(c12)) | m1_subset_1(k1_group_1(c12,A,B),u1_struct_0(c12)). [resolve(122,a,111,b)].
% 0.63/0.93 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m1_subset_1(A,u1_struct_0(c12)) | -m1_subset_1(B,u1_struct_0(c12)) | m1_subset_1(k2_group_3(c12,A,B),u1_struct_0(c12)). [resolve(122,a,112,d)].
% 0.63/0.93 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m1_subset_1(A,u1_struct_0(c12)) | m1_subset_1(k3_group_1(c12,A),u1_struct_0(c12)). [resolve(122,a,113,d)].
% 0.63/0.93 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(122,a,114,e)].
% 0.63/0.93 Derived: l1_struct_0(c12). [resolve(122,a,115,a)].
% 0.63/0.93 Derived: v1_funct_1(u1_group_1(c12)). [resolve(122,a,116,a)].
% 0.63/0.93 Derived: v1_funct_2(u1_group_1(c12),k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12)). [resolve(122,a,117,a)].
% 0.63/0.93 Derived: m2_relset_1(u1_group_1(c12),k2_zfmisc_1(u1_struct_0(c12),u1_struct_0(c12)),u1_struct_0(c12)). [resolve(122,a,118,a)].
% 0.63/0.93 123 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k2_group_3(A,B,C) = k1_group_1(A,k1_group_1(A,k3_group_1(A,C),B),C) # label(t20_group_3) # label(axiom). [clausify(82)].
% 0.63/0.93 Derived: v3_struct_0(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -m1_subset_1(C,u1_struct_0(g1_group_1(A,B))) | -m1_subset_1(D,u1_struct_0(g1_group_1(A,B))) | k2_group_3(g1_group_1(A,B),C,D) = k1_group_1(g1_group_1(A,B),k1_group_1(g1_group_1(A,B),k3_group_1(g1_group_1(A,B),D),C),D) | -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(123,d,93,d)].
% 0.63/0.93 Derived: v3_struct_0(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | k2_group_3(c1,A,B) = k1_group_1(c1,k1_group_1(c1,k3_group_1(c1,B),A),B). [resolve(123,d,119,a)].
% 0.63/0.93 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | k2_group_3(c5,A,B) = k1_group_1(c5,k1_group_1(c5,k3_group_1(c5,B),A),B). [resolve(123,d,120,a)].
% 0.63/0.93 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m1_subset_1(A,u1_struct_0(c9)) | -m1_subset_1(B,u1_struct_0(c9)) | k2_group_3(c9,A,B) = k1_group_1(c9,k1_group_1(c9,k3_group_1(c9,B),A),B). [resolve(123,d,121,a)].
% 0.63/0.93 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m1_subset_1(A,u1_struct_0(c12)) | -m1_subset_1(B,u1_struct_0(c12)) | k2_group_3(c12,A,B) = k1_group_1(c12,k1_group_1(c12,k3_group_1(c12,B),A),B). [resolve(123,d,122,a)].
% 0.63/0.93 124 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k2_group_3(A,B,C) = k1_group_1(A,k3_group_1(A,C),k1_group_1(A,B,C)) # label(t20_group_3) # label(axiom). [clausify(82)].
% 0.63/0.93 Derived: v3_struct_0(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -m1_subset_1(C,u1_struct_0(g1_group_1(A,B))) | -m1_subset_1(D,u1_struct_0(g1_group_1(A,B))) | k2_group_3(g1_group_1(A,B),C,D) = k1_group_1(g1_group_1(A,B),k3_group_1(g1_group_1(A,B),D),k1_group_1(g1_group_1(A,B),C,D)) | -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(124,d,93,d)].
% 0.63/0.94 Derived: v3_struct_0(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | k2_group_3(c1,A,B) = k1_group_1(c1,k3_group_1(c1,B),k1_group_1(c1,A,B)). [resolve(124,d,119,a)].
% 0.63/0.94 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | k2_group_3(c5,A,B) = k1_group_1(c5,k3_group_1(c5,B),k1_group_1(c5,A,B)). [resolve(124,d,120,a)].
% 0.63/0.94 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m1_subset_1(A,u1_struct_0(c9)) | -m1_subset_1(B,u1_struct_0(c9)) | k2_group_3(c9,A,B) = k1_group_1(c9,k3_group_1(c9,B),k1_group_1(c9,A,B)). [resolve(124,d,121,a)].
% 0.63/0.94 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m1_subset_1(A,u1_struct_0(c12)) | -m1_subset_1(B,u1_struct_0(c12)) | k2_group_3(c12,A,B) = k1_group_1(c12,k3_group_1(c12,B),k1_group_1(c12,A,B)). [resolve(124,d,122,a)].
% 0.63/0.94 125 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k3_group_1(A,k1_group_1(A,B,C)) = k1_group_1(A,k3_group_1(A,C),k3_group_1(A,B)) # label(t25_group_1) # label(axiom). [clausify(84)].
% 0.63/0.94 Derived: v3_struct_0(g1_group_1(A,B)) | -v3_group_1(g1_group_1(A,B)) | -v4_group_1(g1_group_1(A,B)) | -m1_subset_1(C,u1_struct_0(g1_group_1(A,B))) | -m1_subset_1(D,u1_struct_0(g1_group_1(A,B))) | k3_group_1(g1_group_1(A,B),k1_group_1(g1_group_1(A,B),C,D)) = k1_group_1(g1_group_1(A,B),k3_group_1(g1_group_1(A,B),D),k3_group_1(g1_group_1(A,B),C)) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(125,d,93,d)].
% 0.63/0.94 Derived: v3_struct_0(c1) | -v3_group_1(c1) | -v4_group_1(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | k3_group_1(c1,k1_group_1(c1,A,B)) = k1_group_1(c1,k3_group_1(c1,B),k3_group_1(c1,A)). [resolve(125,d,119,a)].
% 0.63/0.94 Derived: v3_struct_0(c5) | -v3_group_1(c5) | -v4_group_1(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | k3_group_1(c5,k1_group_1(c5,A,B)) = k1_group_1(c5,k3_group_1(c5,B),k3_group_1(c5,A)). [resolve(125,d,120,a)].
% 0.63/0.94 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -v4_group_1(c9) | -m1_subset_1(A,u1_struct_0(c9)) | -m1_subset_1(B,u1_struct_0(c9)) | k3_group_1(c9,k1_group_1(c9,A,B)) = k1_group_1(c9,k3_group_1(c9,B),k3_group_1(c9,A)). [resolve(125,d,121,a)].
% 0.63/0.94 Derived: v3_struct_0(c12) | -v3_group_1(c12) | -v4_group_1(c12) | -m1_subset_1(A,u1_struct_0(c12)) | -m1_subset_1(B,u1_struct_0(c12)) | k3_group_1(c12,k1_group_1(c12,A,B)) = k1_group_1(c12,k3_group_1(c12,B),k3_group_1(c12,A)). [resolve(125,d,122,a)].
% 0.63/0.94 126 l1_group_1(c14) # label(t18_autgroup) # label(negated_conjecture). [clausify(92)].
% 0.63/0.94 Derived: -v1_group_1(c14) | g1_group_1(u1_struct_0(c14),u1_group_1(c14)) = c14. [resolve(126,a,94,a)].
% 0.63/0.94 Derived: v3_struct_0(c14) | -v3_group_1(c14) | v2_group_1(c14). [resolve(126,a,95,a)].
% 0.63/0.94 Derived: v3_struct_0(c14) | -m1_subset_1(A,u1_struct_0(c14)) | -m1_subset_1(B,u1_struct_0(c14)) | k2_binop_1(u1_struct_0(c14),u1_struct_0(c14),u1_struct_0(c14),u1_group_1(c14),A,B) = k1_group_1(c14,A,B). [resolve(126,a,96,b)].
% 0.63/0.94 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k4_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),k1_fraenkel(u1_struct_0(c14),u1_struct_0(c14))) | -r2_hidden(B,A) | m1_subset_1(f1(c14,A,B),u1_struct_0(c14)). [resolve(126,a,97,e)].
% 0.63/0.94 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k4_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),k1_fraenkel(u1_struct_0(c14),u1_struct_0(c14))) | -r2_hidden(B,A) | -m1_subset_1(C,u1_struct_0(c14)) | k2_group_3(c14,C,f1(c14,A,B)) = k8_funct_2(u1_struct_0(c14),u1_struct_0(c14),B,C). [resolve(126,a,98,e)].
% 0.63/0.94 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k4_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),k1_fraenkel(u1_struct_0(c14),u1_struct_0(c14))) | r2_hidden(B,A) | -m1_subset_1(C,u1_struct_0(c14)) | m1_subset_1(f2(c14,A,B,C),u1_struct_0(c14)). [resolve(126,a,99,e)].
% 0.63/0.94 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k4_autgroup(c14) != A | -m2_fraenkel(B,u1_struct_0(c14),u1_struct_0(c14),k1_fraenkel(u1_struct_0(c14),u1_struct_0(c14))) | r2_hidden(B,A) | -m1_subset_1(C,u1_struct_0(c14)) | k2_group_3(c14,f2(c14,A,B,C),C) != k8_funct_2(u1_struct_0(c14),u1_struct_0(c14),B,f2(c14,A,B,C)). [resolve(126,a,100,e)].
% 0.63/0.94 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k4_autgroup(c14) = A | m2_fraenkel(f3(c14,A),u1_struct_0(c14),u1_struct_0(c14),k1_fraenkel(u1_struct_0(c14),u1_struct_0(c14))). [resolve(126,a,101,e)].
% 0.63/0.94 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k4_autgroup(c14) = A | r2_hidden(f3(c14,A),A) | m1_subset_1(f4(c14,A),u1_struct_0(c14)). [resolve(126,a,102,e)].
% 0.63/0.94 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k4_autgroup(c14) = A | r2_hidden(f3(c14,A),A) | -m1_subset_1(B,u1_struct_0(c14)) | k2_group_3(c14,B,f4(c14,A)) = k8_funct_2(u1_struct_0(c14),u1_struct_0(c14),f3(c14,A),B). [resolve(126,a,103,e)].
% 0.63/0.94 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k4_autgroup(c14) = A | -r2_hidden(f3(c14,A),A) | -m1_subset_1(B,u1_struct_0(c14)) | m1_subset_1(f5(c14,A,B),u1_struct_0(c14)). [resolve(126,a,104,e)].
% 0.63/0.94 Derived: v3_struct_0(c14) | -v1_group_1(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m1_fraenkel(A,u1_struct_0(c14),u1_struct_0(c14)) | k4_autgroup(c14) = A | -r2_hidden(f3(c14,A),A) | -m1_subset_1(B,u1_struct_0(c14)) | k2_group_3(c14,f5(c14,A,B),B) != k8_funct_2(u1_struct_0(c14),u1_struct_0(c14),f3(c14,A),f5(c14,A,B)). [resolve(126,a,105,e)].
% 0.63/0.94 Derived: v3_struct_0(c14) | -v4_group_1(c14) | -m1_subset_1(A,u1_struct_0(c14)) | -m1_subset_1(B,u1_struct_0(c14)) | -m1_subset_1(C,u1_struct_0(c14)) | k1_group_1(c14,k1_group_1(c14,A,B),C) = k1_group_1(c14,A,k1_group_1(c14,B,C)). [resolve(126,a,106,b)].
% 0.63/0.94 Derived: v3_struct_0(c14) | v4_group_1(c14) | m1_subset_1(f6(c14),u1_struct_0(c14)). [resolve(126,a,107,b)].
% 0.63/0.94 Derived: v3_struct_0(c14) | v4_group_1(c14) | m1_subset_1(f7(c14),u1_struct_0(c14)). [resolve(126,a,108,b)].
% 0.63/0.94 Derived: v3_struct_0(c14) | v4_group_1(c14) | m1_subset_1(f8(c14),u1_struct_0(c14)). [resolve(126,a,109,b)].
% 0.63/0.94 Derived: v3_struct_0(c14) | v4_group_1(c14) | k1_group_1(c14,k1_group_1(c14,f6(c14),f7(c14)),f8(c14)) != k1_group_1(c14,f6(c14),k1_group_1(c14,f7(c14),f8(c14))). [resolve(126,a,110,b)].
% 0.63/0.94 Derived: v3_struct_0(c14) | -m1_subset_1(A,u1_struct_0(c14)) | -m1_subset_1(B,u1_struct_0(c14)) | m1_subset_1(k1_group_1(c14,A,B),u1_struct_0(c14)). [resolve(126,a,111,b)].
% 0.63/0.94 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m1_subset_1(A,u1_struct_0(c14)) | -m1_subset_1(B,u1_struct_0(c14)) | m1_subset_1(k2_group_3(c14,A,B),u1_struct_0(c14)). [resolve(126,a,112,d)].
% 0.63/0.94 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m1_subset_1(A,u1_struct_0(c14)) | m1_subset_1(k3_group_1(c14,A),u1_struct_0(c14)). [resolve(126,a,113,d)].
% 0.63/0.94 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(126,a,114,e)].
% 0.63/0.94 Derived: l1_struct_0(c14). [resolve(126,a,115,a)].
% 0.63/0.97 Derived: v1_funct_1(u1_group_1(c14)). [resolve(126,a,116,a)].
% 0.63/0.97 Derived: v1_funct_2(u1_group_1(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(126,a,117,a)].
% 0.63/0.97 Derived: m2_relset_1(u1_group_1(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(126,a,118,a)].
% 0.63/0.97 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m1_subset_1(A,u1_struct_0(c14)) | -m1_subset_1(B,u1_struct_0(c14)) | k2_group_3(c14,A,B) = k1_group_1(c14,k1_group_1(c14,k3_group_1(c14,B),A),B). [resolve(126,a,123,d)].
% 0.63/0.97 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m1_subset_1(A,u1_struct_0(c14)) | -m1_subset_1(B,u1_struct_0(c14)) | k2_group_3(c14,A,B) = k1_group_1(c14,k3_group_1(c14,B),k1_group_1(c14,A,B)). [resolve(126,a,124,d)].
% 0.63/0.97 Derived: v3_struct_0(c14) | -v3_group_1(c14) | -v4_group_1(c14) | -m1_subset_1(A,u1_struct_0(c14)) | -m1_subset_1(B,u1_struct_0(c14)) | k3_group_1(c14,k1_group_1(c14,A,B)) = k1_group_1(c14,k3_group_1(c14,B),k3_group_1(c14,A)). [resolve(126,a,125,d)].
% 0.63/0.97 127 -m1_fraenkel(A,B,C) | v1_fraenkel(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(38)].
% 0.63/0.97 128 -v1_fraenkel(A) | -m1_subset_1(B,A) | v1_relat_1(B) # label(cc1_fraenkel) # label(axiom). [clausify(3)].
% 0.63/0.97 129 -v1_fraenkel(A) | -m1_subset_1(B,A) | v1_funct_1(B) # label(cc1_fraenkel) # label(axiom). [clausify(3)].
% 0.63/0.97 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_relat_1(D). [resolve(127,b,128,a)].
% 0.63/0.97 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_funct_1(D). [resolve(127,b,129,a)].
% 0.63/0.97 130 v1_fraenkel(k1_funct_2(A,B)) # label(fc1_fraenkel) # label(axiom). [clausify(52)].
% 0.63/0.97 Derived: -m1_subset_1(A,k1_funct_2(B,C)) | v1_relat_1(A). [resolve(130,a,128,a)].
% 0.63/0.97 Derived: -m1_subset_1(A,k1_funct_2(B,C)) | v1_funct_1(A). [resolve(130,a,129,a)].
% 0.63/0.97 131 v1_fraenkel(c3) # label(rc1_fraenkel) # label(axiom). [clausify(59)].
% 0.63/0.97 Derived: -m1_subset_1(A,c3) | v1_relat_1(A). [resolve(131,a,128,a)].
% 0.63/0.97 Derived: -m1_subset_1(A,c3) | v1_funct_1(A). [resolve(131,a,129,a)].
% 0.63/0.97 132 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)].
% 0.63/0.97 133 -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)].
% 0.63/0.97 134 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)].
% 0.63/0.97 135 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(56)].
% 0.63/0.97 136 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(46)].
% 0.63/0.97 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(135,b,136,a)].
% 0.63/0.97 137 l1_struct_0(c13) # label(rc3_struct_0) # label(axiom). [clausify(71)].
% 0.63/0.97 Derived: v3_struct_0(c13) | -v1_xboole_0(u1_struct_0(c13)). [resolve(137,a,135,b)].
% 0.63/0.97 138 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f16(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(72)].
% 0.63/0.97 Derived: v3_struct_0(c2) | m1_subset_1(f16(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(138,b,136,a)].
% 0.63/0.97 Derived: v3_struct_0(c13) | m1_subset_1(f16(c13),k1_zfmisc_1(u1_struct_0(c13))). [resolve(138,b,137,a)].
% 0.63/0.97 139 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f16(A)) # label(rc5_struct_0) # label(axiom). [clausify(72)].
% 0.63/0.97 Derived: v3_struct_0(c2) | -v1_xboole_0(f16(c2)). [resolve(139,b,136,a)].
% 0.63/0.97 Derived: v3_struct_0(c13) | -v1_xboole_0(f16(c13)). [resolve(139,b,137,a)].
% 0.63/0.97 140 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(115,a,93,d)].
% 0.63/0.97 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(140,a,135,b)].
% 0.63/0.97 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(f16(g1_group_1(B,A)),k1_zfmisc_1(u1_struct_0(g1_groCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------