TSTP Solution File: GRP648+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP648+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n004.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 11:20:13 EDT 2022
% Result : Timeout 300.03s 300.74s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP648+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 04:56:09 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.83/1.08 ============================== Prover9 ===============================
% 0.83/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.83/1.08 Process 2220 was started by sandbox on n004.cluster.edu,
% 0.83/1.08 Tue Jun 14 04:56:09 2022
% 0.83/1.08 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2059_n004.cluster.edu".
% 0.83/1.08 ============================== end of head ===========================
% 0.83/1.08
% 0.83/1.08 ============================== INPUT =================================
% 0.83/1.08
% 0.83/1.08 % Reading from file /tmp/Prover9_2059_n004.cluster.edu
% 0.83/1.08
% 0.83/1.08 set(prolog_style_variables).
% 0.83/1.08 set(auto2).
% 0.83/1.08 % set(auto2) -> set(auto).
% 0.83/1.08 % set(auto) -> set(auto_inference).
% 0.83/1.08 % set(auto) -> set(auto_setup).
% 0.83/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.83/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.83/1.08 % set(auto) -> set(auto_limits).
% 0.83/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.83/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.83/1.08 % set(auto) -> set(auto_denials).
% 0.83/1.08 % set(auto) -> set(auto_process).
% 0.83/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.83/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.83/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.83/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.83/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.83/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.83/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.83/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.83/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.83/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.83/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.83/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.83/1.08 % set(auto2) -> assign(stats, some).
% 0.83/1.08 % set(auto2) -> clear(echo_input).
% 0.83/1.08 % set(auto2) -> set(quiet).
% 0.83/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.83/1.08 % set(auto2) -> clear(print_given).
% 0.83/1.08 assign(lrs_ticks,-1).
% 0.83/1.08 assign(sos_limit,10000).
% 0.83/1.08 assign(order,kbo).
% 0.83/1.08 set(lex_order_vars).
% 0.83/1.08 clear(print_given).
% 0.83/1.08
% 0.83/1.08 % formulas(sos). % not echoed (92 formulas)
% 0.83/1.08
% 0.83/1.08 ============================== end of input ==========================
% 0.83/1.08
% 0.83/1.08 % From the command line: assign(max_seconds, 300).
% 0.83/1.08
% 0.83/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.83/1.08
% 0.83/1.08 % Formulas that are not ordinary clauses:
% 0.83/1.08 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].
% 0.83/1.08 2 (all A (l3_lattices(A) -> (v3_lattices(A) -> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))) # label(abstractness_v3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 3 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 4 (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].
% 0.83/1.08 5 (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].
% 0.83/1.08 6 (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].
% 0.83/1.08 7 (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].
% 0.83/1.08 8 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k4_lattices(A,B,C) = k4_lattices(A,C,B))) # label(commutativity_k4_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 9 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) -> k9_group_2(A,B,C) = k9_group_2(A,C,B))) # label(commutativity_k9_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 10 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m2_relset_1(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) -> (B = k10_group_4(A) <-> (all C (m1_subset_1(C,k1_group_3(A)) -> (all D (m1_subset_1(D,k1_group_3(A)) -> (all E (m1_group_2(E,A) -> (all F (m1_group_2(F,A) -> (C = E & D = F -> k2_binop_1(k1_group_3(A),k1_group_3(A),k1_group_3(A),B,C,D) = k9_group_2(A,E,F))))))))))))))) # label(d12_group_4) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 11 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> k11_group_4(A) = g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A)))) # label(d13_group_4) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 12 (all A (-v3_struct_0(A) & l1_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_lattices(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,C))))))) # label(d2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 13 (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].
% 0.83/1.08 14 (all A all B all 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) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> v3_lattices(g3_lattices(A,B,C)) & l3_lattices(g3_lattices(A,B,C)))) # label(dt_g3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 15 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v1_funct_1(k10_group_4(A)) & v1_funct_2(k10_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m2_relset_1(k10_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)))) # label(dt_k10_group_4) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 16 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> -v3_struct_0(k11_group_4(A)) & v3_lattices(k11_group_4(A)) & v10_lattices(k11_group_4(A)) & l3_lattices(k11_group_4(A)))) # label(dt_k11_group_4) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 17 $T # label(dt_k1_binop_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 18 $T # label(dt_k1_group_3) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 19 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 20 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 21 (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].
% 0.83/1.08 22 (all A all B all C (-v3_struct_0(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k2_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 23 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 24 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k4_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k4_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 25 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) -> v1_group_1(k8_group_2(A,B,C)) & m1_group_2(k8_group_2(A,B,C),A))) # label(dt_k8_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 26 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) -> v1_group_1(k9_group_2(A,B,C)) & m1_group_2(k9_group_2(A,B,C),A))) # label(dt_k9_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 27 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v1_funct_1(k9_group_4(A)) & v1_funct_2(k9_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) & m2_relset_1(k9_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)))) # label(dt_k9_group_4) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 28 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 29 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 30 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 31 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 32 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 33 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> -v3_struct_0(B) & v3_group_1(B) & l1_group_1(B))))) # label(dt_m1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 34 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) -> (all C (m1_group_6(C,A,B) -> m1_group_2(C,A))))) # label(dt_m1_group_6) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 35 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 36 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 37 (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].
% 0.83/1.08 38 (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].
% 0.83/1.08 39 (all A (l1_lattices(A) -> v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 40 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 41 (all A (l2_lattices(A) -> v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 42 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 43 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 44 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 45 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 46 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 47 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) -> (exists B m1_group_2(B,A)))) # label(existence_m1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 48 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) -> (exists C m1_group_6(C,A,B)))) # label(existence_m1_group_6) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 49 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 50 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 51 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 52 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> -v1_xboole_0(k1_group_3(A)))) # label(fc1_group_3) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 53 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> -v3_struct_0(k11_group_4(A)) & v3_lattices(k11_group_4(A)) & v4_lattices(k11_group_4(A)) & v5_lattices(k11_group_4(A)) & v6_lattices(k11_group_4(A)) & v7_lattices(k11_group_4(A)) & v8_lattices(k11_group_4(A)) & v9_lattices(k11_group_4(A)) & v10_lattices(k11_group_4(A)) & v13_lattices(k11_group_4(A)) & v14_lattices(k11_group_4(A)) & v15_lattices(k11_group_4(A)))) # label(fc1_group_4) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 54 (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].
% 0.83/1.08 55 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 56 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -v1_xboole_0(k2_zfmisc_1(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 57 (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].
% 0.83/1.08 58 (all A all B all 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) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D all E all F (g3_lattices(A,B,C) = g3_lattices(D,E,F) -> A = D & B = E & C = F)))) # label(free_g3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 59 (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].
% 0.83/1.08 60 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 61 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 62 (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].
% 0.83/1.08 63 (all A exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_xboole_0(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 64 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 65 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 66 (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].
% 0.83/1.08 67 (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].
% 0.83/1.08 68 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k4_lattices(A,B,C) = k2_lattices(A,B,C))) # label(redefinition_k4_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 69 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) -> k9_group_2(A,B,C) = k8_group_2(A,B,C))) # label(redefinition_k9_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 70 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) -> (all C (m1_group_6(C,A,B) <-> m1_group_2(C,B))))) # label(redefinition_m1_group_6) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 71 (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].
% 0.83/1.08 72 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(B) & m1_group_2(B,A) & v1_group_1(C) & m1_group_2(C,A) -> (r1_group_2(A,B,C) <-> B = C))) # label(redefinition_r1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 73 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) <-> r1_lattices(A,B,C)))) # label(redefinition_r3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 74 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(B) & m1_group_2(B,A) & v1_group_1(C) & m1_group_2(C,A) -> r1_group_2(A,B,B))) # label(reflexivity_r1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 75 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 76 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> r3_lattices(A,B,B))) # label(reflexivity_r3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 77 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(B) & m1_group_2(B,A) & v1_group_1(C) & m1_group_2(C,A) -> (r1_group_2(A,B,C) -> r1_group_2(A,C,B)))) # label(symmetry_r1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 78 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (m1_group_2(C,B) <-> r1_group_2(A,k9_group_2(A,C,B),C)))))))) # label(t107_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 79 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 80 (all A (-v3_struct_0(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r1_lattices(A,B,C) <-> k2_lattices(A,B,C) = B))))))) # label(t21_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 81 (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(k11_group_4(A))) -> (all C (m1_group_2(C,A) -> (B = C -> v1_group_1(C) & m1_group_2(C,A)))))))) # label(t29_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 82 (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].
% 0.83/1.08 83 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_subset_1(D,u1_struct_0(k11_group_4(A))) -> (all E (m1_subset_1(E,u1_struct_0(k11_group_4(A))) -> (D = B & E = C -> (r3_lattices(k11_group_4(A),D,E) <-> r1_tarski(u1_struct_0(B),u1_struct_0(C)))))))))))))) # label(t30_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 84 (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].
% 0.83/1.08 85 (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].
% 0.83/1.08 86 (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].
% 0.83/1.08 87 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (r1_tarski(u1_struct_0(B),u1_struct_0(C)) -> m1_group_2(B,C)))))))) # label(t66_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 88 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 89 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 90 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 91 -(all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_group_2(C,A) -> (all D (m1_subset_1(D,u1_struct_0(k11_group_4(A))) -> (all E (m1_subset_1(E,u1_struct_0(k11_group_4(A))) -> (D = B & E = C -> (r3_lattices(k11_group_4(A),D,E) <-> m1_group_6(B,A,C))))))))))))) # label(t31_latsubgr) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.83/1.09
% 0.83/1.09 ============================== end of process non-clausal formulas ===
% 0.83/1.09
% 0.83/1.09 ============================== PROCESS INITIAL CLAUSES ===============
% 0.83/1.09
% 0.83/1.09 ============================== PREDICATE ELIMINATION =================
% 0.83/1.09 92 -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_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | l3_lattices(g3_lattices(B,A,C)) # label(dt_g3_lattices) # label(axiom). [clausify(14)].
% 0.83/1.09 93 -l3_lattices(A) | -v3_lattices(A) | g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = A # label(abstractness_v3_lattices) # label(axiom). [clausify(2)].
% 0.83/1.09 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | -v3_lattices(g3_lattices(B,A,C)) | g3_lattices(u1_struct_0(g3_lattices(B,A,C)),u2_lattices(g3_lattices(B,A,C)),u1_lattices(g3_lattices(B,A,C))) = g3_lattices(B,A,C). [resolve(92,g,93,a)].
% 0.83/1.09 94 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | l3_lattices(k11_group_4(A)) # label(dt_k11_group_4) # label(axiom). [clausify(16)].
% 0.83/1.09 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v3_lattices(k11_group_4(A)) | g3_lattices(u1_struct_0(k11_group_4(A)),u2_lattices(k11_group_4(A)),u1_lattices(k11_group_4(A))) = k11_group_4(A). [resolve(94,e,93,a)].
% 0.83/1.09 95 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(32)].
% 0.83/1.09 Derived: l1_lattices(g3_lattices(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) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,A),A) | -m1_relset_1(C,k2_zfmisc_1(A,A),A). [resolve(95,a,92,g)].
% 0.83/1.09 Derived: l1_lattices(k11_group_4(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(95,a,94,e)].
% 0.83/1.09 96 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(32)].
% 0.83/1.09 Derived: l2_lattices(g3_lattices(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) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,A),A) | -m1_relset_1(C,k2_zfmisc_1(A,A),A). [resolve(96,a,92,g)].
% 0.83/1.09 Derived: l2_lattices(k11_group_4(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(96,a,94,e)].
% 0.83/1.09 97 l3_lattices(c5) # label(existence_l3_lattices) # label(axiom). [clausify(46)].
% 0.83/1.09 Derived: -v3_lattices(c5) | g3_lattices(u1_struct_0(c5),u2_lattices(c5),u1_lattices(c5)) = c5. [resolve(97,a,93,a)].
% 0.83/1.09 Derived: l1_lattices(c5). [resolve(97,a,95,a)].
% 0.83/1.09 Derived: l2_lattices(c5). [resolve(97,a,96,a)].
% 0.83/1.09 98 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -r3_lattices(A,B,C) | r1_lattices(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(73)].
% 0.83/1.09 Derived: v3_struct_0(g3_lattices(A,B,C)) | -v6_lattices(g3_lattices(A,B,C)) | -v8_lattices(g3_lattices(A,B,C)) | -v9_lattices(g3_lattices(A,B,C)) | -m1_subset_1(D,u1_struct_0(g3_lattices(A,B,C))) | -m1_subset_1(E,u1_struct_0(g3_lattices(A,B,C))) | -r3_lattices(g3_lattices(A,B,C),D,E) | r1_lattices(g3_lattices(A,B,C),D,E) | -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_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,A),A) | -m1_relset_1(C,k2_zfmisc_1(A,A),A). [resolve(98,e,92,g)].
% 0.83/1.09 Derived: v3_struct_0(k11_group_4(A)) | -v6_lattices(k11_group_4(A)) | -v8_lattices(k11_group_4(A)) | -v9_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | -r3_lattices(k11_group_4(A),B,C) | r1_lattices(k11_group_4(A),B,C) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(98,e,94,e)].
% 0.83/1.09 Derived: v3_struct_0(c5) | -v6_lattices(c5) | -v8_lattices(c5) | -v9_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | -r3_lattices(c5,A,B) | r1_lattices(c5,A,B). [resolve(98,e,97,a)].
% 0.83/1.09 99 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,C) | -r1_lattices(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(73)].
% 0.83/1.09 Derived: v3_struct_0(g3_lattices(A,B,C)) | -v6_lattices(g3_lattices(A,B,C)) | -v8_lattices(g3_lattices(A,B,C)) | -v9_lattices(g3_lattices(A,B,C)) | -m1_subset_1(D,u1_struct_0(g3_lattices(A,B,C))) | -m1_subset_1(E,u1_struct_0(g3_lattices(A,B,C))) | r3_lattices(g3_lattices(A,B,C),D,E) | -r1_lattices(g3_lattices(A,B,C),D,E) | -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_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,A),A) | -m1_relset_1(C,k2_zfmisc_1(A,A),A). [resolve(99,e,92,g)].
% 0.83/1.09 Derived: v3_struct_0(k11_group_4(A)) | -v6_lattices(k11_group_4(A)) | -v8_lattices(k11_group_4(A)) | -v9_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | r3_lattices(k11_group_4(A),B,C) | -r1_lattices(k11_group_4(A),B,C) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(99,e,94,e)].
% 0.83/1.09 Derived: v3_struct_0(c5) | -v6_lattices(c5) | -v8_lattices(c5) | -v9_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | r3_lattices(c5,A,B) | -r1_lattices(c5,A,B). [resolve(99,e,97,a)].
% 0.83/1.09 100 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,B) # label(reflexivity_r3_lattices) # label(axiom). [clausify(76)].
% 0.83/1.09 Derived: v3_struct_0(g3_lattices(A,B,C)) | -v6_lattices(g3_lattices(A,B,C)) | -v8_lattices(g3_lattices(A,B,C)) | -v9_lattices(g3_lattices(A,B,C)) | -m1_subset_1(D,u1_struct_0(g3_lattices(A,B,C))) | -m1_subset_1(E,u1_struct_0(g3_lattices(A,B,C))) | r3_lattices(g3_lattices(A,B,C),D,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) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,A),A) | -m1_relset_1(C,k2_zfmisc_1(A,A),A). [resolve(100,e,92,g)].
% 0.83/1.09 Derived: v3_struct_0(k11_group_4(A)) | -v6_lattices(k11_group_4(A)) | -v8_lattices(k11_group_4(A)) | -v9_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | r3_lattices(k11_group_4(A),B,B) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(100,e,94,e)].
% 0.83/1.09 Derived: v3_struct_0(c5) | -v6_lattices(c5) | -v8_lattices(c5) | -v9_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | r3_lattices(c5,A,A). [resolve(100,e,97,a)].
% 0.83/1.09 101 v3_struct_0(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -r1_lattices(A,B,C) | k2_lattices(A,B,C) = B # label(t21_lattices) # label(axiom). [clausify(80)].
% 0.83/1.09 Derived: v3_struct_0(g3_lattices(A,B,C)) | -v8_lattices(g3_lattices(A,B,C)) | -v9_lattices(g3_lattices(A,B,C)) | -m1_subset_1(D,u1_struct_0(g3_lattices(A,B,C))) | -m1_subset_1(E,u1_struct_0(g3_lattices(A,B,C))) | -r1_lattices(g3_lattices(A,B,C),D,E) | k2_lattices(g3_lattices(A,B,C),D,E) = 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) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,A),A) | -m1_relset_1(C,k2_zfmisc_1(A,A),A). [resolve(101,d,92,g)].
% 0.83/1.09 Derived: v3_struct_0(k11_group_4(A)) | -v8_lattices(k11_group_4(A)) | -v9_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | -r1_lattices(k11_group_4(A),B,C) | k2_lattices(k11_group_4(A),B,C) = B | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(101,d,94,e)].
% 0.83/1.09 Derived: v3_struct_0(c5) | -v8_lattices(c5) | -v9_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | -r1_lattices(c5,A,B) | k2_lattices(c5,A,B) = A. [resolve(101,d,97,a)].
% 0.83/1.09 102 v3_struct_0(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r1_lattices(A,B,C) | k2_lattices(A,B,C) != B # label(t21_lattices) # label(axiom). [clausify(80)].
% 0.83/1.09 Derived: v3_struct_0(g3_lattices(A,B,C)) | -v8_lattices(g3_lattices(A,B,C)) | -v9_lattices(g3_lattices(A,B,C)) | -m1_subset_1(D,u1_struct_0(g3_lattices(A,B,C))) | -m1_subset_1(E,u1_struct_0(g3_lattices(A,B,C))) | r1_lattices(g3_lattices(A,B,C),D,E) | k2_lattices(g3_lattices(A,B,C),D,E) != 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) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,A),A) | -m1_relset_1(C,k2_zfmisc_1(A,A),A). [resolve(102,d,92,g)].
% 0.83/1.09 Derived: v3_struct_0(k11_group_4(A)) | -v8_lattices(k11_group_4(A)) | -v9_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | r1_lattices(k11_group_4(A),B,C) | k2_lattices(k11_group_4(A),B,C) != B | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(102,d,94,e)].
% 0.83/1.09 Derived: v3_struct_0(c5) | -v8_lattices(c5) | -v9_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | r1_lattices(c5,A,B) | k2_lattices(c5,A,B) != A. [resolve(102,d,97,a)].
% 0.83/1.09 103 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(6)].
% 0.83/1.09 104 -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(4)].
% 0.83/1.09 105 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(7)].
% 0.83/1.09 106 l1_lattices(c2) # label(existence_l1_lattices) # label(axiom). [clausify(43)].
% 0.83/1.09 107 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k4_lattices(A,C,B) = k4_lattices(A,B,C) # label(commutativity_k4_lattices) # label(axiom). [clausify(8)].
% 0.83/1.09 108 v3_struct_0(A) | -l1_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k2_lattices(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,C) # label(d2_lattices) # label(axiom). [clausify(12)].
% 0.83/1.09 109 v3_struct_0(A) | -l1_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k2_lattices(A,B,C),u1_struct_0(A)) # label(dt_k2_lattices) # label(axiom). [clausify(22)].
% 0.83/1.09 110 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k4_lattices(A,B,C),u1_struct_0(A)) # label(dt_k4_lattices) # label(axiom). [clausify(24)].
% 0.83/1.09 111 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(29)].
% 0.83/1.09 112 -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(dt_u1_lattices) # label(axiom). [clausify(39)].
% 0.83/1.09 113 -l1_lattices(A) | v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u1_lattices) # label(axiom). [clausify(39)].
% 0.83/1.09 114 -l1_lattices(A) | m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u1_lattices) # label(axiom). [clausify(39)].
% 0.83/1.09 Derived: v3_struct_0(c2) | -v6_lattices(c2) | -m1_subset_1(A,u1_struct_0(c2)) | -m1_subset_1(B,u1_struct_0(c2)) | k4_lattices(c2,B,A) = k4_lattices(c2,A,B). [resolve(106,a,107,c)].
% 0.83/1.09 Derived: v3_struct_0(c2) | -m1_subset_1(A,u1_struct_0(c2)) | -m1_subset_1(B,u1_struct_0(c2)) | k2_lattices(c2,A,B) = k2_binop_1(u1_struct_0(c2),u1_struct_0(c2),u1_struct_0(c2),u1_lattices(c2),A,B). [resolve(106,a,108,b)].
% 0.83/1.09 Derived: v3_struct_0(c2) | -m1_subset_1(A,u1_struct_0(c2)) | -m1_subset_1(B,u1_struct_0(c2)) | m1_subset_1(k2_lattices(c2,A,B),u1_struct_0(c2)). [resolve(106,a,109,b)].
% 0.83/1.09 Derived: v3_struct_0(c2) | -v6_lattices(c2) | -m1_subset_1(A,u1_struct_0(c2)) | -m1_subset_1(B,u1_struct_0(c2)) | m1_subset_1(k4_lattices(c2,A,B),u1_struct_0(c2)). [resolve(106,a,110,c)].
% 0.83/1.10 Derived: l1_struct_0(c2). [resolve(106,a,111,a)].
% 0.83/1.10 Derived: v1_funct_1(u1_lattices(c2)). [resolve(106,a,112,a)].
% 0.83/1.10 Derived: v1_funct_2(u1_lattices(c2),k2_zfmisc_1(u1_struct_0(c2),u1_struct_0(c2)),u1_struct_0(c2)). [resolve(106,a,113,a)].
% 0.83/1.10 Derived: m2_relset_1(u1_lattices(c2),k2_zfmisc_1(u1_struct_0(c2),u1_struct_0(c2)),u1_struct_0(c2)). [resolve(106,a,114,a)].
% 0.83/1.10 115 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k2_lattices(A,B,C) = k4_lattices(A,B,C) # label(redefinition_k4_lattices) # label(axiom). [clausify(68)].
% 0.83/1.10 Derived: v3_struct_0(c2) | -v6_lattices(c2) | -m1_subset_1(A,u1_struct_0(c2)) | -m1_subset_1(B,u1_struct_0(c2)) | k2_lattices(c2,A,B) = k4_lattices(c2,A,B). [resolve(115,c,106,a)].
% 0.83/1.10 116 l1_lattices(g3_lattices(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) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,A),A) | -m1_relset_1(C,k2_zfmisc_1(A,A),A). [resolve(95,a,92,g)].
% 0.83/1.10 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v3_struct_0(g3_lattices(B,A,C)) | -v6_lattices(g3_lattices(B,A,C)) | -m1_subset_1(D,u1_struct_0(g3_lattices(B,A,C))) | -m1_subset_1(E,u1_struct_0(g3_lattices(B,A,C))) | k4_lattices(g3_lattices(B,A,C),E,D) = k4_lattices(g3_lattices(B,A,C),D,E). [resolve(116,a,107,c)].
% 0.83/1.10 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v3_struct_0(g3_lattices(B,A,C)) | -m1_subset_1(D,u1_struct_0(g3_lattices(B,A,C))) | -m1_subset_1(E,u1_struct_0(g3_lattices(B,A,C))) | k2_lattices(g3_lattices(B,A,C),D,E) = k2_binop_1(u1_struct_0(g3_lattices(B,A,C)),u1_struct_0(g3_lattices(B,A,C)),u1_struct_0(g3_lattices(B,A,C)),u1_lattices(g3_lattices(B,A,C)),D,E). [resolve(116,a,108,b)].
% 0.83/1.10 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v3_struct_0(g3_lattices(B,A,C)) | -m1_subset_1(D,u1_struct_0(g3_lattices(B,A,C))) | -m1_subset_1(E,u1_struct_0(g3_lattices(B,A,C))) | m1_subset_1(k2_lattices(g3_lattices(B,A,C),D,E),u1_struct_0(g3_lattices(B,A,C))). [resolve(116,a,109,b)].
% 0.83/1.10 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v3_struct_0(g3_lattices(B,A,C)) | -v6_lattices(g3_lattices(B,A,C)) | -m1_subset_1(D,u1_struct_0(g3_lattices(B,A,C))) | -m1_subset_1(E,u1_struct_0(g3_lattices(B,A,C))) | m1_subset_1(k4_lattices(g3_lattices(B,A,C),D,E),u1_struct_0(g3_lattices(B,A,C))). [resolve(116,a,110,c)].
% 0.83/1.10 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | l1_struct_0(g3_lattices(B,A,C)). [resolve(116,a,111,a)].
% 0.83/1.10 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v1_funct_1(u1_lattices(g3_lattices(B,A,C))). [resolve(116,a,112,a)].
% 0.83/1.10 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v1_funct_2(u1_lattices(g3_lattices(B,A,C)),k2_zfmisc_1(u1_struct_0(g3_lattices(B,A,C)),u1_struct_0(g3_lattices(B,A,C))),u1_struct_0(g3_lattices(B,A,C))). [resolve(116,a,113,a)].
% 0.83/1.10 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | m2_relset_1(u1_lattices(g3_lattices(B,A,C)),k2_zfmisc_1(u1_struct_0(g3_lattices(B,A,C)),u1_struct_0(g3_lattices(B,A,C))),u1_struct_0(g3_lattices(B,A,C))). [resolve(116,a,114,a)].
% 0.83/1.10 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v3_struct_0(g3_lattices(B,A,C)) | -v6_lattices(g3_lattices(B,A,C)) | -m1_subset_1(D,u1_struct_0(g3_lattices(B,A,C))) | -m1_subset_1(E,u1_struct_0(g3_lattices(B,A,C))) | k2_lattices(g3_lattices(B,A,C),D,E) = k4_lattices(g3_lattices(B,A,C),D,E). [resolve(116,a,115,c)].
% 0.83/1.10 117 l1_lattices(k11_group_4(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(95,a,94,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(k11_group_4(A)) | -v6_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | k4_lattices(k11_group_4(A),C,B) = k4_lattices(k11_group_4(A),B,C). [resolve(117,a,107,c)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | k2_lattices(k11_group_4(A),B,C) = k2_binop_1(u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(A)),u1_lattices(k11_group_4(A)),B,C). [resolve(117,a,108,b)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | m1_subset_1(k2_lattices(k11_group_4(A),B,C),u1_struct_0(k11_group_4(A))). [resolve(117,a,109,b)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(k11_group_4(A)) | -v6_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | m1_subset_1(k4_lattices(k11_group_4(A),B,C),u1_struct_0(k11_group_4(A))). [resolve(117,a,110,c)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | l1_struct_0(k11_group_4(A)). [resolve(117,a,111,a)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_funct_1(u1_lattices(k11_group_4(A))). [resolve(117,a,112,a)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_funct_2(u1_lattices(k11_group_4(A)),k2_zfmisc_1(u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(A))),u1_struct_0(k11_group_4(A))). [resolve(117,a,113,a)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m2_relset_1(u1_lattices(k11_group_4(A)),k2_zfmisc_1(u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(A))),u1_struct_0(k11_group_4(A))). [resolve(117,a,114,a)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(k11_group_4(A)) | -v6_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | k2_lattices(k11_group_4(A),B,C) = k4_lattices(k11_group_4(A),B,C). [resolve(117,a,115,c)].
% 0.83/1.10 118 l1_lattices(c5). [resolve(97,a,95,a)].
% 0.83/1.10 Derived: v3_struct_0(c5) | -v6_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | k4_lattices(c5,B,A) = k4_lattices(c5,A,B). [resolve(118,a,107,c)].
% 0.83/1.10 Derived: v3_struct_0(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | k2_lattices(c5,A,B) = k2_binop_1(u1_struct_0(c5),u1_struct_0(c5),u1_struct_0(c5),u1_lattices(c5),A,B). [resolve(118,a,108,b)].
% 0.83/1.10 Derived: v3_struct_0(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | m1_subset_1(k2_lattices(c5,A,B),u1_struct_0(c5)). [resolve(118,a,109,b)].
% 0.83/1.10 Derived: v3_struct_0(c5) | -v6_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | m1_subset_1(k4_lattices(c5,A,B),u1_struct_0(c5)). [resolve(118,a,110,c)].
% 0.83/1.10 Derived: l1_struct_0(c5). [resolve(118,a,111,a)].
% 0.83/1.10 Derived: v1_funct_1(u1_lattices(c5)). [resolve(118,a,112,a)].
% 0.83/1.10 Derived: v1_funct_2(u1_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(118,a,113,a)].
% 0.83/1.10 Derived: m2_relset_1(u1_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(118,a,114,a)].
% 0.83/1.10 Derived: v3_struct_0(c5) | -v6_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | k2_lattices(c5,A,B) = k4_lattices(c5,A,B). [resolve(118,a,115,c)].
% 0.83/1.10 119 v4_group_1(c9) # label(t31_latsubgr) # label(negated_conjecture). [clausify(91)].
% 0.83/1.10 120 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_2(C,A) | k9_group_2(A,C,B) = k9_group_2(A,B,C) # label(commutativity_k9_group_2) # label(axiom). [clausify(9)].
% 0.83/1.10 121 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | -m2_relset_1(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | k10_group_4(A) != B | -m1_subset_1(C,k1_group_3(A)) | -m1_subset_1(D,k1_group_3(A)) | -m1_group_2(E,A) | -m1_group_2(F,A) | E != C | F != D | k2_binop_1(k1_group_3(A),k1_group_3(A),k1_group_3(A),B,C,D) = k9_group_2(A,E,F) # label(d12_group_4) # label(axiom). [clausify(10)].
% 0.83/1.10 122 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | -m2_relset_1(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | k10_group_4(A) = B | m1_subset_1(f1(A,B),k1_group_3(A)) # label(d12_group_4) # label(axiom). [clausify(10)].
% 0.83/1.10 123 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | -m2_relset_1(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | k10_group_4(A) = B | m1_subset_1(f2(A,B),k1_group_3(A)) # label(d12_group_4) # label(axiom). [clausify(10)].
% 0.83/1.10 124 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | -m2_relset_1(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | k10_group_4(A) = B | m1_group_2(f3(A,B),A) # label(d12_group_4) # label(axiom). [clausify(10)].
% 0.83/1.10 125 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | -m2_relset_1(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | k10_group_4(A) = B | m1_group_2(f4(A,B),A) # label(d12_group_4) # label(axiom). [clausify(10)].
% 0.83/1.10 126 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | -m2_relset_1(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | k10_group_4(A) = B | f3(A,B) = f1(A,B) # label(d12_group_4) # label(axiom). [clausify(10)].
% 0.83/1.10 127 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | -m2_relset_1(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | k10_group_4(A) = B | f4(A,B) = f2(A,B) # label(d12_group_4) # label(axiom). [clausify(10)].
% 0.83/1.10 128 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | -m2_relset_1(B,k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) | k10_group_4(A) = B | k2_binop_1(k1_group_3(A),k1_group_3(A),k1_group_3(A),B,f1(A,B),f2(A,B)) != k9_group_2(A,f3(A,B),f4(A,B)) # label(d12_group_4) # label(axiom). [clausify(10)].
% 0.83/1.10 129 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | k11_group_4(A) = g3_lattices(k1_group_3(A),k9_group_4(A),k10_group_4(A)) # label(d13_group_4) # label(axiom). [clausify(11)].
% 0.83/1.10 130 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_funct_1(k10_group_4(A)) # label(dt_k10_group_4) # label(axiom). [clausify(15)].
% 0.83/1.10 131 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_funct_2(k10_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) # label(dt_k10_group_4) # label(axiom). [clausify(15)].
% 0.83/1.10 132 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m2_relset_1(k10_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) # label(dt_k10_group_4) # label(axiom). [clausify(15)].
% 0.83/1.10 133 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v3_struct_0(k11_group_4(A)) # label(dt_k11_group_4) # label(axiom). [clausify(16)].
% 0.83/1.10 134 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_lattices(k11_group_4(A)) # label(dt_k11_group_4) # label(axiom). [clausify(16)].
% 0.83/1.10 135 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v10_lattices(k11_group_4(A)) # label(dt_k11_group_4) # label(axiom). [clausify(16)].
% 0.83/1.10 136 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_2(C,A) | v1_group_1(k8_group_2(A,B,C)) # label(dt_k8_group_2) # label(axiom). [clausify(25)].
% 0.83/1.10 137 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_2(C,A) | m1_group_2(k8_group_2(A,B,C),A) # label(dt_k8_group_2) # label(axiom). [clausify(25)].
% 0.83/1.10 138 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_2(C,A) | v1_group_1(k9_group_2(A,B,C)) # label(dt_k9_group_2) # label(axiom). [clausify(26)].
% 0.83/1.10 139 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_2(C,A) | m1_group_2(k9_group_2(A,B,C),A) # label(dt_k9_group_2) # label(axiom). [clausify(26)].
% 0.83/1.10 140 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_funct_1(k9_group_4(A)) # label(dt_k9_group_4) # label(axiom). [clausify(27)].
% 0.83/1.10 141 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_funct_2(k9_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) # label(dt_k9_group_4) # label(axiom). [clausify(27)].
% 0.83/1.10 142 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m2_relset_1(k9_group_4(A),k2_zfmisc_1(k1_group_3(A),k1_group_3(A)),k1_group_3(A)) # label(dt_k9_group_4) # label(axiom). [clausify(27)].
% 0.83/1.10 143 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_6(C,A,B) | m1_group_2(C,A) # label(dt_m1_group_6) # label(axiom). [clausify(34)].
% 0.83/1.10 144 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | m1_group_6(f6(A,B),A,B) # label(existence_m1_group_6) # label(axiom). [clausify(48)].
% 0.83/1.10 145 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_xboole_0(k1_group_3(A)) # label(fc1_group_3) # label(axiom). [clausify(52)].
% 0.83/1.10 146 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v3_struct_0(k11_group_4(A)) # label(fc1_group_4) # label(axiom). [clausify(53)].
% 0.83/1.10 147 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_lattices(k11_group_4(A)) # label(fc1_group_4) # label(axiom). [clausify(53)].
% 0.83/1.10 148 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v4_lattices(k11_group_4(A)) # label(fc1_group_4) # label(axiom). [clausify(53)].
% 0.83/1.10 149 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v5_lattices(k11_group_4(A)) # label(fc1_group_4) # label(axiom). [clausify(53)].
% 0.83/1.10 150 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v6_lattices(k11_group_4(A)) # label(fc1_group_4) # label(axiom). [clausify(53)].
% 0.83/1.10 151 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v7_lattices(k11_group_4(A)) # label(fc1_group_4) # label(axiom). [clausify(53)].
% 0.83/1.10 152 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v8_lattices(k11_group_4(A)) # label(fc1_group_4) # label(axiom). [clausify(53)].
% 0.83/1.10 153 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v9_lattices(k11_group_4(A)) # label(fc1_group_4) # label(axiom). [clausify(53)].
% 0.83/1.10 154 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v10_lattices(k11_group_4(A)) # label(fc1_group_4) # label(axiom). [clausify(53)].
% 0.83/1.10 155 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v13_lattices(k11_group_4(A)) # label(fc1_group_4) # label(axiom). [clausify(53)].
% 0.83/1.10 156 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v14_lattices(k11_group_4(A)) # label(fc1_group_4) # label(axiom). [clausify(53)].
% 0.83/1.10 157 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v15_lattices(k11_group_4(A)) # label(fc1_group_4) # label(axiom). [clausify(53)].
% 0.83/1.10 158 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_2(C,A) | k8_group_2(A,B,C) = k9_group_2(A,B,C) # label(redefinition_k9_group_2) # label(axiom). [clausify(69)].
% 0.83/1.10 159 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_6(C,A,B) | m1_group_2(C,B) # label(redefinition_m1_group_6) # label(axiom). [clausify(70)].
% 0.83/1.10 160 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | m1_group_6(C,A,B) | -m1_group_2(C,B) # label(redefinition_m1_group_6) # label(axiom). [clausify(70)].
% 0.83/1.10 161 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_group_1(B) | -m1_group_2(B,A) | -v1_group_1(C) | -m1_group_2(C,A) | -r1_group_2(A,B,C) | C = B # label(redefinition_r1_group_2) # label(axiom). [clausify(72)].
% 0.83/1.10 162 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_group_1(B) | -m1_group_2(B,A) | -v1_group_1(C) | -m1_group_2(C,A) | r1_group_2(A,B,C) | C != B # label(redefinition_r1_group_2) # label(axiom). [clausify(72)].
% 0.83/1.10 163 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_group_1(B) | -m1_group_2(B,A) | -v1_group_1(C) | -m1_group_2(C,A) | r1_group_2(A,B,B) # label(reflexivity_r1_group_2) # label(axiom). [clausify(74)].
% 0.83/1.10 164 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_group_1(B) | -m1_group_2(B,A) | -v1_group_1(C) | -m1_group_2(C,A) | -r1_group_2(A,B,C) | r1_group_2(A,C,B) # label(symmetry_r1_group_2) # label(axiom). [clausify(77)].
% 0.83/1.10 165 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -v1_group_1(C) | -m1_group_2(C,A) | -m1_group_2(C,B) | r1_group_2(A,k9_group_2(A,C,B),C) # label(t107_group_2) # label(axiom). [clausify(78)].
% 0.83/1.10 166 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -v1_group_1(C) | -m1_group_2(C,A) | m1_group_2(C,B) | -r1_group_2(A,k9_group_2(A,C,B),C) # label(t107_group_2) # label(axiom). [clausify(78)].
% 0.83/1.10 167 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_group_2(C,A) | C != B | v1_group_1(C) # label(t29_latsubgr) # label(axiom). [clausify(81)].
% 0.83/1.10 168 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_2(C,A) | -m1_subset_1(D,u1_struct_0(k11_group_4(A))) | -m1_subset_1(E,u1_struct_0(k11_group_4(A))) | D != B | E != C | -r3_lattices(k11_group_4(A),D,E) | r1_tarski(u1_struct_0(B),u1_struct_0(C)) # label(t30_latsubgr) # label(axiom). [clausify(83)].
% 0.83/1.10 169 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_2(C,A) | -m1_subset_1(D,u1_struct_0(k11_group_4(A))) | -m1_subset_1(E,u1_struct_0(k11_group_4(A))) | D != B | E != C | r3_lattices(k11_group_4(A),D,E) | -r1_tarski(u1_struct_0(B),u1_struct_0(C)) # label(t30_latsubgr) # label(axiom). [clausify(83)].
% 0.83/1.10 170 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_2(C,A) | -r1_tarski(u1_struct_0(B),u1_struct_0(C)) | m1_group_2(B,C) # label(t66_group_2) # label(axiom). [clausify(87)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_group_2(A,c9) | -m1_group_2(B,c9) | k9_group_2(c9,B,A) = k9_group_2(c9,A,B). [resolve(119,a,120,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | -m2_relset_1(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | k10_group_4(c9) != A | -m1_subset_1(B,k1_group_3(c9)) | -m1_subset_1(C,k1_group_3(c9)) | -m1_group_2(D,c9) | -m1_group_2(E,c9) | D != B | E != C | k2_binop_1(k1_group_3(c9),k1_group_3(c9),k1_group_3(c9),A,B,C) = k9_group_2(c9,D,E). [resolve(119,a,121,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | -m2_relset_1(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | k10_group_4(c9) = A | m1_subset_1(f1(c9,A),k1_group_3(c9)). [resolve(119,a,122,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | -m2_relset_1(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | k10_group_4(c9) = A | m1_subset_1(f2(c9,A),k1_group_3(c9)). [resolve(119,a,123,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | -m2_relset_1(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | k10_group_4(c9) = A | m1_group_2(f3(c9,A),c9). [resolve(119,a,124,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | -m2_relset_1(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | k10_group_4(c9) = A | m1_group_2(f4(c9,A),c9). [resolve(119,a,125,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | -m2_relset_1(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | k10_group_4(c9) = A | f3(c9,A) = f1(c9,A). [resolve(119,a,126,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | -m2_relset_1(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | k10_group_4(c9) = A | f4(c9,A) = f2(c9,A). [resolve(119,a,127,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | -m2_relset_1(A,k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)) | k10_group_4(c9) = A | k2_binop_1(k1_group_3(c9),k1_group_3(c9),k1_group_3(c9),A,f1(c9,A),f2(c9,A)) != k9_group_2(c9,f3(c9,A),f4(c9,A)). [resolve(119,a,128,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | k11_group_4(c9) = g3_lattices(k1_group_3(c9),k9_group_4(c9),k10_group_4(c9)). [resolve(119,a,129,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v1_funct_1(k10_group_4(c9)). [resolve(119,a,130,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v1_funct_2(k10_group_4(c9),k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)). [resolve(119,a,131,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | m2_relset_1(k10_group_4(c9),k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)). [resolve(119,a,132,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -v3_struct_0(k11_group_4(c9)). [resolve(119,a,133,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v3_lattices(k11_group_4(c9)). [resolve(119,a,134,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v10_lattices(k11_group_4(c9)). [resolve(119,a,135,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_group_2(A,c9) | -m1_group_2(B,c9) | v1_group_1(k8_group_2(c9,A,B)). [resolve(119,a,136,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_group_2(A,c9) | -m1_group_2(B,c9) | m1_group_2(k8_group_2(c9,A,B),c9). [resolve(119,a,137,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_group_2(A,c9) | -m1_group_2(B,c9) | v1_group_1(k9_group_2(c9,A,B)). [resolve(119,a,138,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_group_2(A,c9) | -m1_group_2(B,c9) | m1_group_2(k9_group_2(c9,A,B),c9). [resolve(119,a,139,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v1_funct_1(k9_group_4(c9)). [resolve(119,a,140,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v1_funct_2(k9_group_4(c9),k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)). [resolve(119,a,141,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | m2_relset_1(k9_group_4(c9),k2_zfmisc_1(k1_group_3(c9),k1_group_3(c9)),k1_group_3(c9)). [resolve(119,a,142,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_group_2(A,c9) | -m1_group_6(B,c9,A) | m1_group_2(B,c9). [resolve(119,a,143,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_group_2(A,c9) | m1_group_6(f6(c9,A),c9,A). [resolve(119,a,144,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -v1_xboole_0(k1_group_3(c9)). [resolve(119,a,145,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v4_lattices(k11_group_4(c9)). [resolve(119,a,148,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v5_lattices(k11_group_4(c9)). [resolve(119,a,149,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v6_lattices(k11_group_4(c9)). [resolve(119,a,150,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v7_lattices(k11_group_4(c9)). [resolve(119,a,151,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v8_lattices(k11_group_4(c9)). [resolve(119,a,152,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v9_lattices(k11_group_4(c9)). [resolve(119,a,153,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v13_lattices(k11_group_4(c9)). [resolve(119,a,155,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v14_lattices(k11_group_4(c9)). [resolve(119,a,156,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v15_lattices(k11_group_4(c9)). [resolve(119,a,157,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_group_2(A,c9) | -m1_group_2(B,c9) | k8_group_2(c9,A,B) = k9_group_2(c9,A,B). [resolve(119,a,158,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_group_2(A,c9) | -m1_group_6(B,c9,A) | m1_group_2(B,A). [resolve(119,a,159,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_group_2(A,c9) | m1_group_6(B,c9,A) | -m1_group_2(B,A). [resolve(119,a,160,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -v1_group_1(A) | -m1_group_2(A,c9) | -v1_group_1(B) | -m1_group_2(B,c9) | -r1_group_2(c9,A,B) | B = A. [resolve(119,a,161,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -v1_group_1(A) | -m1_group_2(A,c9) | -v1_group_1(B) | -m1_group_2(B,c9) | r1_group_2(c9,A,B) | B != A. [resolve(119,a,162,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -v1_group_1(A) | -m1_group_2(A,c9) | -v1_group_1(B) | -m1_group_2(B,c9) | r1_group_2(c9,A,A). [resolve(119,a,163,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -v1_group_1(A) | -m1_group_2(A,c9) | -v1_group_1(B) | -m1_group_2(B,c9) | -r1_group_2(c9,A,B) | r1_group_2(c9,B,A). [resolve(119,a,164,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_group_2(A,c9) | -v1_group_1(B) | -m1_group_2(B,c9) | -m1_group_2(B,A) | r1_group_2(c9,k9_group_2(c9,B,A),B). [resolve(119,a,165,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_group_2(A,c9) | -v1_group_1(B) | -m1_group_2(B,c9) | m1_group_2(B,A) | -r1_group_2(c9,k9_group_2(c9,B,A),B). [resolve(119,a,166,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_subset_1(A,u1_struct_0(k11_group_4(c9))) | -m1_group_2(B,c9) | B != A | v1_group_1(B). [resolve(119,a,167,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_group_2(A,c9) | -m1_group_2(B,c9) | -m1_subset_1(C,u1_struct_0(k11_group_4(c9))) | -m1_subset_1(D,u1_struct_0(k11_group_4(c9))) | C != A | D != B | -r3_lattices(k11_group_4(c9),C,D) | r1_tarski(u1_struct_0(A),u1_struct_0(B)). [resolve(119,a,168,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_group_2(A,c9) | -m1_group_2(B,c9) | -m1_subset_1(C,u1_struct_0(k11_group_4(c9))) | -m1_subset_1(D,u1_struct_0(k11_group_4(c9))) | C != A | D != B | r3_lattices(k11_group_4(c9),C,D) | -r1_tarski(u1_struct_0(A),u1_struct_0(B)). [resolve(119,a,169,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -m1_group_2(A,c9) | -m1_group_2(B,c9) | -r1_tarski(u1_struct_0(A),u1_struct_0(B)) | m1_group_2(A,B). [resolve(119,a,170,c)].
% 0.83/1.10 171 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v3_lattices(k11_group_4(A)) | g3_lattices(u1_struct_0(k11_group_4(A)),u2_lattices(k11_group_4(A)),u1_lattices(k11_group_4(A))) = k11_group_4(A). [resolve(94,e,93,a)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | -v3_lattices(k11_group_4(c9)) | g3_lattices(u1_struct_0(k11_group_4(c9)),u2_lattices(k11_group_4(c9)),u1_lattices(k11_group_4(c9))) = k11_group_4(c9). [resolve(171,c,119,a)].
% 0.83/1.10 172 l2_lattices(k11_group_4(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(96,a,94,e)].
% 0.83/1.10 Derived: l2_lattices(k11_group_4(c9)) | v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9). [resolve(172,d,119,a)].
% 0.83/1.10 173 v3_struct_0(k11_group_4(A)) | -v6_lattices(k11_group_4(A)) | -v8_lattices(k11_group_4(A)) | -v9_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | -r3_lattices(k11_group_4(A),B,C) | r1_lattices(k11_group_4(A),B,C) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(98,e,94,e)].
% 0.83/1.10 Derived: v3_struct_0(k11_group_4(c9)) | -v6_lattices(k11_group_4(c9)) | -v8_lattices(k11_group_4(c9)) | -v9_lattices(k11_group_4(c9)) | -m1_subset_1(A,u1_struct_0(k11_group_4(c9))) | -m1_subset_1(B,u1_struct_0(k11_group_4(c9))) | -r3_lattices(k11_group_4(c9),A,B) | r1_lattices(k11_group_4(c9),A,B) | v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9). [resolve(173,k,119,a)].
% 0.83/1.10 174 v3_struct_0(k11_group_4(A)) | -v6_lattices(k11_group_4(A)) | -v8_lattices(k11_group_4(A)) | -v9_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | r3_lattices(k11_group_4(A),B,C) | -r1_lattices(k11_group_4(A),B,C) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(99,e,94,e)].
% 0.83/1.10 Derived: v3_struct_0(k11_group_4(c9)) | -v6_lattices(k11_group_4(c9)) | -v8_lattices(k11_group_4(c9)) | -v9_lattices(k11_group_4(c9)) | -m1_subset_1(A,u1_struct_0(k11_group_4(c9))) | -m1_subset_1(B,u1_struct_0(k11_group_4(c9))) | r3_lattices(k11_group_4(c9),A,B) | -r1_lattices(k11_group_4(c9),A,B) | v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9). [resolve(174,k,119,a)].
% 0.83/1.10 175 v3_struct_0(k11_group_4(A)) | -v6_lattices(k11_group_4(A)) | -v8_lattices(k11_group_4(A)) | -v9_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | r3_lattices(k11_group_4(A),B,B) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(100,e,94,e)].
% 0.83/1.10 Derived: v3_struct_0(k11_group_4(c9)) | -v6_lattices(k11_group_4(c9)) | -v8_lattices(k11_group_4(c9)) | -v9_lattices(k11_group_4(c9)) | -m1_subset_1(A,u1_struct_0(k11_group_4(c9))) | -m1_subset_1(B,u1_struct_0(k11_group_4(c9))) | r3_lattices(k11_group_4(c9),A,A) | v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9). [resolve(175,j,119,a)].
% 0.83/1.10 176 v3_struct_0(k11_group_4(A)) | -v8_lattices(k11_group_4(A)) | -v9_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | -r1_lattices(k11_group_4(A),B,C) | k2_lattices(k11_group_4(A),B,C) = B | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(101,d,94,e)].
% 0.83/1.10 Derived: v3_struct_0(k11_group_4(c9)) | -v8_lattices(k11_group_4(c9)) | -v9_lattices(k11_group_4(c9)) | -m1_subset_1(A,u1_struct_0(k11_group_4(c9))) | -m1_subset_1(B,u1_struct_0(k11_group_4(c9))) | -r1_lattices(k11_group_4(c9),A,B) | k2_lattices(k11_group_4(c9),A,B) = A | v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9). [resolve(176,j,119,a)].
% 0.83/1.10 177 v3_struct_0(k11_group_4(A)) | -v8_lattices(k11_group_4(A)) | -v9_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | r1_lattices(k11_group_4(A),B,C) | k2_lattices(k11_group_4(A),B,C) != B | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(102,d,94,e)].
% 0.83/1.10 Derived: v3_struct_0(k11_group_4(c9)) | -v8_lattices(k11_group_4(c9)) | -v9_lattices(k11_group_4(c9)) | -m1_subset_1(A,u1_struct_0(k11_group_4(c9))) | -m1_subset_1(B,u1_struct_0(k11_group_4(c9))) | r1_lattices(k11_group_4(c9),A,B) | k2_lattices(k11_group_4(c9),A,B) != A | v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9). [resolve(177,j,119,a)].
% 0.83/1.10 178 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(k11_group_4(A)) | -v6_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | k4_lattices(k11_group_4(A),C,B) = k4_lattices(k11_group_4(A),B,C). [resolve(117,a,107,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v3_struct_0(k11_group_4(c9)) | -v6_lattices(k11_group_4(c9)) | -m1_subset_1(A,u1_struct_0(k11_group_4(c9))) | -m1_subset_1(B,u1_struct_0(k11_group_4(c9))) | k4_lattices(k11_group_4(c9),B,A) = k4_lattices(k11_group_4(c9),A,B). [resolve(178,c,119,a)].
% 0.83/1.10 179 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | k2_lattices(k11_group_4(A),B,C) = k2_binop_1(u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(A)),u1_lattices(k11_group_4(A)),B,C). [resolve(117,a,108,b)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v3_struct_0(k11_group_4(c9)) | -m1_subset_1(A,u1_struct_0(k11_group_4(c9))) | -m1_subset_1(B,u1_struct_0(k11_group_4(c9))) | k2_lattices(k11_group_4(c9),A,B) = k2_binop_1(u1_struct_0(k11_group_4(c9)),u1_struct_0(k11_group_4(c9)),u1_struct_0(k11_group_4(c9)),u1_lattices(k11_group_4(c9)),A,B). [resolve(179,c,119,a)].
% 0.83/1.10 180 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | m1_subset_1(k2_lattices(k11_group_4(A),B,C),u1_struct_0(k11_group_4(A))). [resolve(117,a,109,b)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v3_struct_0(k11_group_4(c9)) | -m1_subset_1(A,u1_struct_0(k11_group_4(c9))) | -m1_subset_1(B,u1_struct_0(k11_group_4(c9))) | m1_subset_1(k2_lattices(k11_group_4(c9),A,B),u1_struct_0(k11_group_4(c9))). [resolve(180,c,119,a)].
% 0.83/1.10 181 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(k11_group_4(A)) | -v6_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | m1_subset_1(k4_lattices(k11_group_4(A),B,C),u1_struct_0(k11_group_4(A))). [resolve(117,a,110,c)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v3_struct_0(k11_group_4(c9)) | -v6_lattices(k11_group_4(c9)) | -m1_subset_1(A,u1_struct_0(k11_group_4(c9))) | -m1_subset_1(B,u1_struct_0(k11_group_4(c9))) | m1_subset_1(k4_lattices(k11_group_4(c9),A,B),u1_struct_0(k11_group_4(c9))). [resolve(181,c,119,a)].
% 0.83/1.10 182 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | l1_struct_0(k11_group_4(A)). [resolve(117,a,111,a)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | l1_struct_0(k11_group_4(c9)). [resolve(182,c,119,a)].
% 0.83/1.10 183 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_funct_1(u1_lattices(k11_group_4(A))). [resolve(117,a,112,a)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v1_funct_1(u1_lattices(k11_group_4(c9))). [resolve(183,c,119,a)].
% 0.83/1.10 184 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_funct_2(u1_lattices(k11_group_4(A)),k2_zfmisc_1(u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(A))),u1_struct_0(k11_group_4(A))). [resolve(117,a,113,a)].
% 0.83/1.10 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v1_funct_2(u1_lattices(k11_group_4(c9)),k2_zfmisc_1(u1_struct_0(k11_group_4(c9)),u1_struct_0(k11_group_4(c9))),u1_struct_0(k11_group_4(c9))). [resolve(184,c,119,a)].
% 0.83/1.11 185 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m2_relset_1(u1_lattices(k11_group_4(A)),k2_zfmisc_1(u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(A))),u1_struct_0(k11_group_4(A))). [resolve(117,a,114,a)].
% 0.83/1.11 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | m2_relset_1(u1_lattices(k11_group_4(c9)),k2_zfmisc_1(u1_struct_0(k11_group_4(c9)),u1_struct_0(k11_group_4(c9))),u1_struct_0(k11_group_4(c9))). [resolve(185,c,119,a)].
% 0.83/1.11 186 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(k11_group_4(A)) | -v6_lattices(k11_group_4(A)) | -m1_subset_1(B,u1_struct_0(k11_group_4(A))) | -m1_subset_1(C,u1_struct_0(k11_group_4(A))) | k2_lattices(k11_group_4(A),B,C) = k4_lattices(k11_group_4(A),B,C). [resolve(117,a,115,c)].
% 0.83/1.11 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v3_struct_0(k11_group_4(c9)) | -v6_lattices(k11_group_4(c9)) | -m1_subset_1(A,u1_struct_0(k11_group_4(c9))) | -m1_subset_1(B,u1_struct_0(k11_group_4(c9))) | k2_lattices(k11_group_4(c9),A,B) = k4_lattices(k11_group_4(c9),A,B). [resolve(186,c,119,a)].
% 0.83/1.11 187 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(54)].
% 0.83/1.11 188 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(28)].
% 0.83/1.11 189 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(31)].
% 0.83/1.11 190 l1_struct_0(c3) # label(existence_l1_struct_0) # label(axiom). [clausify(44)].
% 0.83/1.11 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_group_1(A). [resolve(187,b,188,b)].
% 0.83/1.11 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(187,b,189,b)].
% 0.83/1.11 Derived: v3_struct_0(c3) | -v1_xboole_0(u1_struct_0(c3)). [resolve(187,b,190,a)].
% 0.83/1.11 191 l1_struct_0(c8) # label(rc3_struct_0) # label(axiom). [clausify(65)].
% 0.83/1.11 Derived: v3_struct_0(c8) | -v1_xboole_0(u1_struct_0(c8)). [resolve(191,a,187,b)].
% 0.83/1.11 192 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f14(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(66)].
% 0.83/1.11 Derived: v3_struct_0(A) | m1_subset_1(f14(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_group_1(A). [resolve(192,b,188,b)].
% 0.83/1.11 Derived: v3_struct_0(A) | m1_subset_1(f14(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(192,b,189,b)].
% 0.83/1.11 Derived: v3_struct_0(c3) | m1_subset_1(f14(c3),k1_zfmisc_1(u1_struct_0(c3))). [resolve(192,b,190,a)].
% 0.83/1.11 Derived: v3_struct_0(c8) | m1_subset_1(f14(c8),k1_zfmisc_1(u1_struct_0(c8))). [resolve(192,b,191,a)].
% 0.83/1.11 193 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f14(A)) # label(rc5_struct_0) # label(axiom). [clausify(66)].
% 0.83/1.11 Derived: v3_struct_0(A) | -v1_xboole_0(f14(A)) | -l1_group_1(A). [resolve(193,b,188,b)].
% 0.83/1.11 Derived: v3_struct_0(A) | -v1_xboole_0(f14(A)) | -l2_lattices(A). [resolve(193,b,189,b)].
% 0.83/1.11 Derived: v3_struct_0(c3) | -v1_xboole_0(f14(c3)). [resolve(193,b,190,a)].
% 0.83/1.11 Derived: v3_struct_0(c8) | -v1_xboole_0(f14(c8)). [resolve(193,b,191,a)].
% 0.83/1.11 194 l1_struct_0(c2). [resolve(106,a,111,a)].
% 0.83/1.11 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(194,a,187,b)].
% 0.83/1.11 Derived: v3_struct_0(c2) | m1_subset_1(f14(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(194,a,192,b)].
% 0.83/1.11 Derived: v3_struct_0(c2) | -v1_xboole_0(f14(c2)). [resolve(194,a,193,b)].
% 0.83/1.11 195 -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_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | l1_struct_0(g3_lattices(B,A,C)). [resolve(116,a,111,a)].
% 0.83/1.11 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v3_struct_0(g3_lattices(B,A,C)) | -v1_xboole_0(u1_struct_0(g3_lattices(B,A,C))). [resolve(195,g,187,b)].
% 0.83/1.11 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v3_struct_0(g3_lattices(B,A,C)) | m1_subset_1(f14(g3_lattices(B,A,C)),k1_zfmisc_1(u1_struct_0(g3_lattices(B,A,C)))). [resolve(195,g,192,b)].
% 0.83/1.11 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v3_struct_0(g3_lattices(B,A,C)) | -v1_xboole_0(f14(g3_lattices(B,A,C))). [resolve(195,g,193,b)].
% 0.83/1.11 196 l1_struct_0(c5). [resolve(118,a,111,a)].
% 0.83/1.11 Derived: v3_struct_0(c5) | -v1_xboole_0(u1_struct_0(c5)). [resolve(196,a,187,b)].
% 0.83/1.11 Derived: v3_struct_0(c5) | m1_subset_1(f14(c5),k1_zfmisc_1(u1_struct_0(c5))). [resolve(196,a,192,b)].
% 0.83/1.11 Derived: v3_struct_0(c5) | -v1_xboole_0(f14(c5)). [resolve(196,a,193,b)].
% 0.83/1.11 197 v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | l1_struct_0(k11_group_4(c9)). [resolve(182,c,119,a)].
% 0.83/1.11 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v3_struct_0(k11_group_4(c9)) | -v1_xboole_0(u1_struct_0(k11_group_4(c9))). [resolve(197,d,187,b)].
% 0.83/1.11 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v3_struct_0(k11_group_4(c9)) | m1_subset_1(f14(k11_group_4(c9)),k1_zfmisc_1(u1_struct_0(k11_group_4(c9)))). [resolve(197,d,192,b)].
% 0.83/1.11 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v3_struct_0(k11_group_4(c9)) | -v1_xboole_0(f14(k11_group_4(c9))). [resolve(197,d,193,b)].
% 0.83/1.11 198 l2_lattices(c4) # label(existence_l2_lattices) # label(axiom). [clausify(45)].
% 0.83/1.11 199 -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(dt_u2_lattices) # label(axiom). [clausify(41)].
% 0.83/1.11 200 -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u2_lattices) # label(axiom). [clausify(41)].
% 0.83/1.11 201 -l2_lattices(A) | m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u2_lattices) # label(axiom). [clausify(41)].
% 0.83/1.11 Derived: v1_funct_1(u2_lattices(c4)). [resolve(198,a,199,a)].
% 0.83/1.11 Derived: v1_funct_2(u2_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(198,a,200,a)].
% 0.83/1.11 Derived: m2_relset_1(u2_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(198,a,201,a)].
% 0.83/1.11 202 l2_lattices(g3_lattices(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) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,A),A) | -m1_relset_1(C,k2_zfmisc_1(A,A),A). [resolve(96,a,92,g)].
% 0.83/1.11 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v1_funct_1(u2_lattices(g3_lattices(B,A,C))). [resolve(202,a,199,a)].
% 0.83/1.11 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v1_funct_2(u2_lattices(g3_lattices(B,A,C)),k2_zfmisc_1(u1_struct_0(g3_lattices(B,A,C)),u1_struct_0(g3_lattices(B,A,C))),u1_struct_0(g3_lattices(B,A,C))). [resolve(202,a,200,a)].
% 0.83/1.11 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | m2_relset_1(u2_lattices(g3_lattices(B,A,C)),k2_zfmisc_1(u1_struct_0(g3_lattices(B,A,C)),u1_struct_0(g3_lattices(B,A,C))),u1_struct_0(g3_lattices(B,A,C))). [resolve(202,a,201,a)].
% 0.83/1.11 203 l2_lattices(c5). [resolve(97,a,96,a)].
% 0.83/1.11 Derived: v1_funct_1(u2_lattices(c5)). [resolve(203,a,199,a)].
% 0.83/1.11 Derived: v1_funct_2(u2_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(203,a,200,a)].
% 0.83/1.11 Derived: m2_relset_1(u2_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(203,a,201,a)].
% 0.83/1.11 204 l2_lattices(k11_group_4(c9)) | v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9). [resolve(172,d,119,a)].
% 0.83/1.11 Derived: v3_struct_0(c9) | -v3_group_1(c9) | -l1_group_1(c9) | v1_funct_1(u2_lattices(k11_group_4(c9))). [resolve(204,a,199,a)].
% 0.83/1.11 Derived: v3_struct_0(c9) | -v3_grouCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------