TSTP Solution File: GRP652+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP652+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:20:16 EDT 2022
% Result : Timeout 300.02s 300.31s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP652+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 16:11:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.78/1.05 ============================== Prover9 ===============================
% 0.78/1.05 Prover9 (32) version 2009-11A, November 2009.
% 0.78/1.05 Process 14463 was started by sandbox2 on n022.cluster.edu,
% 0.78/1.05 Mon Jun 13 16:11:19 2022
% 0.78/1.05 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_14309_n022.cluster.edu".
% 0.78/1.05 ============================== end of head ===========================
% 0.78/1.05
% 0.78/1.05 ============================== INPUT =================================
% 0.78/1.05
% 0.78/1.05 % Reading from file /tmp/Prover9_14309_n022.cluster.edu
% 0.78/1.05
% 0.78/1.05 set(prolog_style_variables).
% 0.78/1.05 set(auto2).
% 0.78/1.05 % set(auto2) -> set(auto).
% 0.78/1.05 % set(auto) -> set(auto_inference).
% 0.78/1.05 % set(auto) -> set(auto_setup).
% 0.78/1.05 % set(auto_setup) -> set(predicate_elim).
% 0.78/1.05 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.78/1.05 % set(auto) -> set(auto_limits).
% 0.78/1.05 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.78/1.05 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.78/1.05 % set(auto) -> set(auto_denials).
% 0.78/1.05 % set(auto) -> set(auto_process).
% 0.78/1.05 % set(auto2) -> assign(new_constants, 1).
% 0.78/1.05 % set(auto2) -> assign(fold_denial_max, 3).
% 0.78/1.05 % set(auto2) -> assign(max_weight, "200.000").
% 0.78/1.05 % set(auto2) -> assign(max_hours, 1).
% 0.78/1.05 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.78/1.05 % set(auto2) -> assign(max_seconds, 0).
% 0.78/1.05 % set(auto2) -> assign(max_minutes, 5).
% 0.78/1.05 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.78/1.05 % set(auto2) -> set(sort_initial_sos).
% 0.78/1.05 % set(auto2) -> assign(sos_limit, -1).
% 0.78/1.05 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.78/1.05 % set(auto2) -> assign(max_megs, 400).
% 0.78/1.05 % set(auto2) -> assign(stats, some).
% 0.78/1.05 % set(auto2) -> clear(echo_input).
% 0.78/1.05 % set(auto2) -> set(quiet).
% 0.78/1.05 % set(auto2) -> clear(print_initial_clauses).
% 0.78/1.05 % set(auto2) -> clear(print_given).
% 0.78/1.05 assign(lrs_ticks,-1).
% 0.78/1.05 assign(sos_limit,10000).
% 0.78/1.05 assign(order,kbo).
% 0.78/1.05 set(lex_order_vars).
% 0.78/1.05 clear(print_given).
% 0.78/1.05
% 0.78/1.05 % formulas(sos). % not echoed (88 formulas)
% 0.78/1.05
% 0.78/1.05 ============================== end of input ==========================
% 0.78/1.05
% 0.78/1.05 % From the command line: assign(max_seconds, 300).
% 0.78/1.05
% 0.78/1.05 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.78/1.05
% 0.78/1.05 % Formulas that are not ordinary clauses:
% 0.78/1.05 1 (all A (l1_group_1(A) -> (v1_group_1(A) -> A = g1_group_1(u1_struct_0(A),u1_group_1(A))))) # label(abstractness_v1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 2 (all A (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].
% 0.78/1.05 3 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 8 (all A all B (B = k1_tarski(A) <-> (all C (r2_hidden(C,B) <-> C = A)))) # label(d1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 9 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> (all D (v1_funct_1(D) & v1_funct_2(D,u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(B))) & m2_relset_1(D,u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(B))) -> (D = k3_latsubgr(A,B,C) <-> (all E (v1_group_1(E) & m1_group_2(E,A) -> (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(B))) -> (F = k2_funct_2(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(E)) -> k1_funct_1(D,E) = k5_group_4(B,F))))))))))))))) # label(d3_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 10 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (B = k5_group_2(A) <-> u1_struct_0(B) = k6_domain_1(u1_struct_0(A),k2_group_1(A))))))) # label(d7_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 11 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> v1_group_1(g1_group_1(A,B)) & l1_group_1(g1_group_1(A,B)))) # label(dt_g1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 12 (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].
% 0.78/1.05 13 (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].
% 0.78/1.05 14 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m1_subset_1(k18_group_2(A,B),k5_finsub_1(A)))) # label(dt_k18_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 15 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 16 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 17 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 18 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 19 (all A all B all C all D (v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) -> m1_subset_1(k2_funct_2(A,B,C,D),k1_zfmisc_1(B)))) # label(dt_k2_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 20 (all A (-v3_struct_0(A) & l1_group_1(A) -> m1_subset_1(k2_group_1(A),u1_struct_0(A)))) # label(dt_k2_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 21 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 22 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> v1_funct_1(k3_latsubgr(A,B,C)) & v1_funct_2(k3_latsubgr(A,B,C),u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(B))) & m2_relset_1(k3_latsubgr(A,B,C),u1_struct_0(k11_group_4(A)),u1_struct_0(k11_group_4(B))))) # label(dt_k3_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 23 (all A v4_finsub_1(k5_finsub_1(A))) # label(dt_k5_finsub_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 24 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v1_group_1(k5_group_2(A)) & m1_group_2(k5_group_2(A),A))) # label(dt_k5_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 25 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v1_group_1(k5_group_4(A,B)) & m1_group_2(k5_group_4(A,B),A))) # label(dt_k5_group_4) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 26 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A)))) # label(dt_k6_domain_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 27 (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].
% 0.78/1.05 28 $T # label(dt_k9_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 29 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 30 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 31 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 32 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 33 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 34 (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].
% 0.78/1.05 35 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 36 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 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].
% 0.78/1.05 40 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 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].
% 0.78/1.05 42 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 43 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 44 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 45 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 46 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 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].
% 0.78/1.05 48 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 49 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 50 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 51 (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].
% 0.78/1.05 52 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(u1_struct_0(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 53 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 54 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.05 55 (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].
% 0.78/1.06 56 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> (all C all D (g1_group_1(A,B) = g1_group_1(C,D) -> A = C & B = D)))) # label(free_g1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 57 (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].
% 0.78/1.06 58 (all A all B exists C (m1_relset_1(C,A,B) & v1_relat_1(C) & v1_funct_1(C) & v1_funct_2(C,A,B))) # label(rc1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 59 (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].
% 0.78/1.06 60 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 61 (all A all B exists C (m1_relset_1(C,A,B) & v1_relat_1(C) & v1_funct_1(C))) # label(rc2_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 62 (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].
% 0.78/1.06 63 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 64 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 65 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B))))) # label(rc5_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 66 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> k18_group_2(A,B) = k1_tarski(B))) # label(redefinition_k18_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 67 (all A all B all C all D (v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) -> k2_funct_2(A,B,C,D) = k9_relat_1(C,D))) # label(redefinition_k2_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 68 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> k6_domain_1(A,B) = k1_tarski(B))) # label(redefinition_k6_domain_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 69 (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].
% 0.78/1.06 70 (all A all B all C (m2_relset_1(C,A,B) <-> m1_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 71 (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].
% 0.78/1.06 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,B))) # label(reflexivity_r1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 73 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 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,C) -> r1_group_2(A,C,B)))) # label(symmetry_r1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 75 (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 -(r2_hidden(E,k2_funct_2(A,B,D,C)) & (all F (m1_subset_1(F,A) -> -(r2_hidden(F,C) & E = k1_funct_1(D,F)))))))) # label(t116_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 76 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (B = k18_group_2(u1_struct_0(A),k2_group_1(A)) -> r1_group_2(A,k5_group_4(A,B),k5_group_2(A))))))) # label(t14_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 77 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 78 (all A all B (m1_subset_1(A,B) -> v1_xboole_0(B) | r2_hidden(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 79 (all A all B (m1_subset_1(A,k1_zfmisc_1(B)) <-> r1_tarski(A,B))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 80 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(B),C,k2_group_1(A)) = k2_group_1(B))))))) # label(t40_group_6) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 81 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (B != k1_xboole_0 -> (all E ((exists F (r2_hidden(F,A) & r2_hidden(F,C) & E = k1_funct_1(D,F))) -> r2_hidden(E,k9_relat_1(D,C))))))) # label(t43_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 82 (all A all B all C (r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 83 (all A all B all C -(r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) & v1_xboole_0(C))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 84 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 85 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 86 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.06 87 -(all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & v1_group_6(C,A,B) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> k1_funct_1(k3_latsubgr(A,B,C),k5_group_2(A)) = k5_group_2(B))))))) # label(t35_latsubgr) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.78/1.06
% 0.78/1.06 ============================== end of process non-clausal formulas ===
% 0.78/1.06
% 0.78/1.06 ============================== PROCESS INITIAL CLAUSES ===============
% 0.78/1.06
% 0.78/1.06 ============================== PREDICATE ELIMINATION =================
% 0.78/1.06 88 -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(12)].
% 0.78/1.06 89 -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)].
% 0.78/1.06 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -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(88,g,89,a)].
% 0.78/1.06 90 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(13)].
% 0.78/1.06 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(90,e,89,a)].
% 0.78/1.06 91 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(33)].
% 0.78/1.06 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(91,a,88,g)].
% 0.78/1.07 Derived: l1_lattices(k11_group_4(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(91,a,90,e)].
% 0.78/1.07 92 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(33)].
% 0.78/1.07 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(92,a,88,g)].
% 0.78/1.07 Derived: l2_lattices(k11_group_4(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(92,a,90,e)].
% 0.78/1.07 93 l3_lattices(c5) # label(existence_l3_lattices) # label(axiom). [clausify(46)].
% 0.78/1.07 Derived: -v3_lattices(c5) | g3_lattices(u1_struct_0(c5),u2_lattices(c5),u1_lattices(c5)) = c5. [resolve(93,a,89,a)].
% 0.78/1.07 Derived: l1_lattices(c5). [resolve(93,a,91,a)].
% 0.78/1.07 Derived: l2_lattices(c5). [resolve(93,a,92,a)].
% 0.78/1.07 94 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)].
% 0.78/1.07 95 -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)].
% 0.78/1.07 96 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)].
% 0.78/1.07 97 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(52)].
% 0.78/1.07 98 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(29)].
% 0.78/1.07 99 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(30)].
% 0.78/1.07 100 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(32)].
% 0.78/1.07 101 l1_struct_0(c3) # label(existence_l1_struct_0) # label(axiom). [clausify(44)].
% 0.78/1.07 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_group_1(A). [resolve(97,b,98,b)].
% 0.78/1.07 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(97,b,99,b)].
% 0.78/1.07 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(97,b,100,b)].
% 0.78/1.07 Derived: v3_struct_0(c3) | -v1_xboole_0(u1_struct_0(c3)). [resolve(97,b,101,a)].
% 0.78/1.07 102 l1_struct_0(c8) # label(rc3_struct_0) # label(axiom). [clausify(64)].
% 0.78/1.07 Derived: v3_struct_0(c8) | -v1_xboole_0(u1_struct_0(c8)). [resolve(102,a,97,b)].
% 0.78/1.07 103 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(65)].
% 0.78/1.07 Derived: v3_struct_0(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_group_1(A). [resolve(103,b,98,b)].
% 0.78/1.07 Derived: v3_struct_0(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(103,b,99,b)].
% 0.78/1.07 Derived: v3_struct_0(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(103,b,100,b)].
% 0.78/1.07 Derived: v3_struct_0(c3) | m1_subset_1(f12(c3),k1_zfmisc_1(u1_struct_0(c3))). [resolve(103,b,101,a)].
% 0.78/1.07 Derived: v3_struct_0(c8) | m1_subset_1(f12(c8),k1_zfmisc_1(u1_struct_0(c8))). [resolve(103,b,102,a)].
% 0.78/1.07 104 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f12(A)) # label(rc5_struct_0) # label(axiom). [clausify(65)].
% 0.78/1.07 Derived: v3_struct_0(A) | -v1_xboole_0(f12(A)) | -l1_group_1(A). [resolve(104,b,98,b)].
% 0.78/1.07 Derived: v3_struct_0(A) | -v1_xboole_0(f12(A)) | -l1_lattices(A). [resolve(104,b,99,b)].
% 0.78/1.07 Derived: v3_struct_0(A) | -v1_xboole_0(f12(A)) | -l2_lattices(A). [resolve(104,b,100,b)].
% 0.78/1.07 Derived: v3_struct_0(c3) | -v1_xboole_0(f12(c3)). [resolve(104,b,101,a)].
% 0.78/1.07 Derived: v3_struct_0(c8) | -v1_xboole_0(f12(c8)). [resolve(104,b,102,a)].
% 0.78/1.07 105 l1_lattices(c2) # label(existence_l1_lattices) # label(axiom). [clausify(43)].
% 0.78/1.07 106 -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(dt_u1_lattices) # label(axiom). [clausify(39)].
% 0.78/1.07 107 -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)].
% 0.78/1.08 108 -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)].
% 0.78/1.08 Derived: v1_funct_1(u1_lattices(c2)). [resolve(105,a,106,a)].
% 0.78/1.08 Derived: v1_funct_2(u1_lattices(c2),k2_zfmisc_1(u1_struct_0(c2),u1_struct_0(c2)),u1_struct_0(c2)). [resolve(105,a,107,a)].
% 0.78/1.08 Derived: m2_relset_1(u1_lattices(c2),k2_zfmisc_1(u1_struct_0(c2),u1_struct_0(c2)),u1_struct_0(c2)). [resolve(105,a,108,a)].
% 0.78/1.08 109 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(91,a,88,g)].
% 0.78/1.08 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(109,a,106,a)].
% 0.78/1.08 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(109,a,107,a)].
% 0.78/1.08 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(109,a,108,a)].
% 0.78/1.08 110 l1_lattices(k11_group_4(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(91,a,90,e)].
% 0.78/1.08 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(110,a,106,a)].
% 0.78/1.08 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(110,a,107,a)].
% 0.78/1.08 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(110,a,108,a)].
% 0.78/1.08 111 l1_lattices(c5). [resolve(93,a,91,a)].
% 0.78/1.08 Derived: v1_funct_1(u1_lattices(c5)). [resolve(111,a,106,a)].
% 0.78/1.08 Derived: v1_funct_2(u1_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(111,a,107,a)].
% 0.78/1.08 Derived: m2_relset_1(u1_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(111,a,108,a)].
% 0.78/1.08 112 v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(97,b,99,b)].
% 0.78/1.08 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(112,c,105,a)].
% 0.78/1.08 Derived: v3_struct_0(g3_lattices(A,B,C)) | -v1_xboole_0(u1_struct_0(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(112,c,109,a)].
% 0.78/1.08 Derived: v3_struct_0(k11_group_4(A)) | -v1_xboole_0(u1_struct_0(k11_group_4(A))) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(112,c,110,a)].
% 0.78/1.08 Derived: v3_struct_0(c5) | -v1_xboole_0(u1_struct_0(c5)). [resolve(112,c,111,a)].
% 0.78/1.08 113 v3_struct_0(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(103,b,99,b)].
% 0.78/1.08 Derived: v3_struct_0(c2) | m1_subset_1(f12(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(113,c,105,a)].
% 0.78/1.08 Derived: v3_struct_0(g3_lattices(A,B,C)) | m1_subset_1(f12(g3_lattices(A,B,C)),k1_zfmisc_1(u1_struct_0(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(113,c,109,a)].
% 0.82/1.08 Derived: v3_struct_0(k11_group_4(A)) | m1_subset_1(f12(k11_group_4(A)),k1_zfmisc_1(u1_struct_0(k11_group_4(A)))) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(113,c,110,a)].
% 0.82/1.08 Derived: v3_struct_0(c5) | m1_subset_1(f12(c5),k1_zfmisc_1(u1_struct_0(c5))). [resolve(113,c,111,a)].
% 0.82/1.08 114 v3_struct_0(A) | -v1_xboole_0(f12(A)) | -l1_lattices(A). [resolve(104,b,99,b)].
% 0.82/1.08 Derived: v3_struct_0(c2) | -v1_xboole_0(f12(c2)). [resolve(114,c,105,a)].
% 0.82/1.08 Derived: v3_struct_0(g3_lattices(A,B,C)) | -v1_xboole_0(f12(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(114,c,109,a)].
% 0.82/1.08 Derived: v3_struct_0(k11_group_4(A)) | -v1_xboole_0(f12(k11_group_4(A))) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(114,c,110,a)].
% 0.82/1.08 Derived: v3_struct_0(c5) | -v1_xboole_0(f12(c5)). [resolve(114,c,111,a)].
% 0.82/1.08 115 l2_lattices(c4) # label(existence_l2_lattices) # label(axiom). [clausify(45)].
% 0.82/1.08 116 -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(dt_u2_lattices) # label(axiom). [clausify(41)].
% 0.82/1.08 117 -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)].
% 0.82/1.08 118 -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)].
% 0.82/1.08 Derived: v1_funct_1(u2_lattices(c4)). [resolve(115,a,116,a)].
% 0.82/1.08 Derived: v1_funct_2(u2_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(115,a,117,a)].
% 0.82/1.08 Derived: m2_relset_1(u2_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(115,a,118,a)].
% 0.82/1.08 119 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(92,a,88,g)].
% 0.82/1.08 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(119,a,116,a)].
% 0.82/1.08 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(119,a,117,a)].
% 0.82/1.08 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(119,a,118,a)].
% 0.82/1.08 120 l2_lattices(k11_group_4(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(92,a,90,e)].
% 0.82/1.08 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_funct_1(u2_lattices(k11_group_4(A))). [resolve(120,a,116,a)].
% 0.82/1.08 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_funct_2(u2_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(120,a,117,a)].
% 0.82/1.08 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m2_relset_1(u2_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(120,a,118,a)].
% 0.82/1.08 121 l2_lattices(c5). [resolve(93,a,92,a)].
% 0.82/1.08 Derived: v1_funct_1(u2_lattices(c5)). [resolve(121,a,116,a)].
% 0.82/1.08 Derived: v1_funct_2(u2_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(121,a,117,a)].
% 0.82/1.08 DeriCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------