TSTP Solution File: LAT325+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT325+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n015.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 : Sun Jul 17 06:27:34 EDT 2022
% Result : Timeout 300.06s 300.34s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT325+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n015.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 : Wed Jun 29 16:28:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.44/1.08 ============================== Prover9 ===============================
% 0.44/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.08 Process 20630 was started by sandbox2 on n015.cluster.edu,
% 0.44/1.08 Wed Jun 29 16:28:56 2022
% 0.44/1.08 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_20475_n015.cluster.edu".
% 0.44/1.08 ============================== end of head ===========================
% 0.44/1.08
% 0.44/1.08 ============================== INPUT =================================
% 0.44/1.08
% 0.44/1.08 % Reading from file /tmp/Prover9_20475_n015.cluster.edu
% 0.44/1.08
% 0.44/1.08 set(prolog_style_variables).
% 0.44/1.08 set(auto2).
% 0.44/1.08 % set(auto2) -> set(auto).
% 0.44/1.08 % set(auto) -> set(auto_inference).
% 0.44/1.08 % set(auto) -> set(auto_setup).
% 0.44/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.44/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.08 % set(auto) -> set(auto_limits).
% 0.44/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.08 % set(auto) -> set(auto_denials).
% 0.44/1.08 % set(auto) -> set(auto_process).
% 0.44/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.44/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.44/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.44/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.44/1.08 % set(auto2) -> assign(stats, some).
% 0.44/1.08 % set(auto2) -> clear(echo_input).
% 0.44/1.08 % set(auto2) -> set(quiet).
% 0.44/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.08 % set(auto2) -> clear(print_given).
% 0.44/1.08 assign(lrs_ticks,-1).
% 0.44/1.08 assign(sos_limit,10000).
% 0.44/1.08 assign(order,kbo).
% 0.44/1.08 set(lex_order_vars).
% 0.44/1.08 clear(print_given).
% 0.44/1.08
% 0.44/1.08 % formulas(sos). % not echoed (108 formulas)
% 0.44/1.08
% 0.44/1.08 ============================== end of input ==========================
% 0.44/1.08
% 0.44/1.08 % From the command line: assign(max_seconds, 300).
% 0.44/1.08
% 0.44/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.08
% 0.44/1.08 % Formulas that are not ordinary clauses:
% 0.44/1.08 1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 2 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 3 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A)))) # label(cc1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 4 (all A (-v1_realset1(A) -> -v1_xboole_0(A))) # label(cc1_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 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].
% 0.44/1.08 6 (all A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 7 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) -> -v3_struct_0(A) & v10_lattices(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 8 (all A all B k2_tarski(A,B) = k2_tarski(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 9 (all A all B all C (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,B,C) = k3_lattices(A,C,B))) # label(commutativity_k3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 10 (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].
% 0.44/1.08 11 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (m2_lattice4(B,A) <-> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r2_hidden(C,B) & r2_hidden(D,B) -> r2_hidden(k4_lattices(A,C,D),B) & r2_hidden(k3_lattices(A,C,D),B))))))))))) # label(d10_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 12 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C k1_binop_1(A,B,C) = k1_funct_1(A,k4_tarski(B,C))))) # label(d1_binop_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 13 (all A all B all C (m2_relset_1(C,A,B) -> ((B = k1_xboole_0 -> A = k1_xboole_0) -> (v1_funct_2(C,A,B) <-> A = k4_relset_1(A,B,C))) & (B = k1_xboole_0 -> A = k1_xboole_0 | (v1_funct_2(C,A,B) <-> C = k1_xboole_0)))) # label(d1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 14 (all A (-v3_struct_0(A) & l2_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_lattices(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C))))))) # label(d1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 15 (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].
% 0.82/1.08 16 (all A (v1_relat_1(A) -> (all B k1_realset1(A,B) = k7_relat_1(A,k2_zfmisc_1(B,B))))) # label(d3_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 17 (all A all B (r1_tarski(A,B) <-> (all C (r2_hidden(C,A) -> r2_hidden(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 18 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B (B = k2_relat_1(A) <-> (all C (r2_hidden(C,B) <-> (exists D (r2_hidden(D,k1_relat_1(A)) & C = k1_funct_1(A,D))))))))) # label(d5_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 19 (all A all B k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A))) # label(d5_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 20 (all A all B all C all D (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) -> m1_subset_1(k12_mcart_1(A,B,C,D),k1_zfmisc_1(k2_zfmisc_1(A,B))))) # label(dt_k12_mcart_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 21 $T # label(dt_k1_binop_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 22 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(C,A) & m1_subset_1(D,B) -> m1_subset_1(k1_domain_1(A,B,C,D),k2_zfmisc_1(A,B)))) # label(dt_k1_domain_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 23 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 24 (all A all B all C (-v3_struct_0(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k1_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 25 $T # label(dt_k1_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 26 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 27 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 28 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 29 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 30 (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].
% 0.82/1.08 31 (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].
% 0.82/1.08 32 $T # label(dt_k2_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 33 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 34 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 35 (all A all B all C (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k3_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 36 (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].
% 0.82/1.08 37 (all A all B all C (m1_relset_1(C,A,B) -> m1_subset_1(k4_relset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k4_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 38 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 39 (all A all B (v1_relat_1(A) -> v1_relat_1(k7_relat_1(A,B)))) # label(dt_k7_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 40 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 41 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 42 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 43 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 44 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 45 (all A all B (-v3_struct_0(A) & l1_struct_0(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_struct_0(C,A,B) -> m1_subset_1(C,u1_struct_0(A)))))) # label(dt_m1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 46 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 47 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_lattice4(B,A) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 48 (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].
% 0.82/1.08 49 (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].
% 0.82/1.08 50 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 51 (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].
% 0.82/1.08 52 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 53 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 54 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 55 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 56 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 57 (all A all B (-v3_struct_0(A) & l1_struct_0(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (exists C m1_struct_0(C,A,B)))) # label(existence_m1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 58 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 59 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m2_lattice4(B,A)))) # label(existence_m2_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 60 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 61 (all A all B (v1_relat_1(A) -> v1_relat_1(k1_realset1(A,B)))) # label(fc1_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 62 (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].
% 0.82/1.08 63 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 64 (all A (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_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)) & v1_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc2_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 65 (all A all B (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k1_realset1(A,B)) & v1_funct_1(k1_realset1(A,B)))) # label(fc2_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 66 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 67 (all A (-v3_struct_0(A) & v5_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_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)) & v2_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc3_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 68 (all A (-v1_xboole_0(k1_tarski(A)) & v1_finset_1(k1_tarski(A)) & v1_realset1(k1_tarski(A)))) # label(fc3_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 69 (all A all B -v1_xboole_0(k2_tarski(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 70 (all A all B (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k7_relat_1(A,B)) & v1_funct_1(k7_relat_1(A,B)))) # label(fc4_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 71 (all A (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) -> v1_relat_1(u1_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)) & v1_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc4_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 72 (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].
% 0.82/1.08 73 (all A (-v3_struct_0(A) & v7_lattices(A) & l1_lattices(A) -> v1_relat_1(u1_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)) & v2_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc5_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 74 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 75 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B (m2_lattice4(B,A) & -v1_xboole_0(B))))) # label(rc1_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 76 (exists A (-v1_xboole_0(A) & v1_realset1(A))) # label(rc1_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 77 (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].
% 0.82/1.08 78 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 79 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 80 (exists A (-v1_xboole_0(A) & -v1_realset1(A))) # label(rc2_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 81 (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].
% 0.82/1.08 82 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 83 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 84 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 85 (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].
% 0.82/1.08 86 (all A all B all C all D (m1_subset_1(C,k1_zfmisc_1(A)) & m1_subset_1(D,k1_zfmisc_1(B)) -> k12_mcart_1(A,B,C,D) = k2_zfmisc_1(C,D))) # label(redefinition_k12_mcart_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 87 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(C,A) & m1_subset_1(D,B) -> k1_domain_1(A,B,C,D) = k4_tarski(C,D))) # label(redefinition_k1_domain_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 88 (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].
% 0.82/1.08 89 (all A all B all C (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,B,C) = k1_lattices(A,B,C))) # label(redefinition_k3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 90 (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].
% 0.82/1.08 91 (all A all B all C (m1_relset_1(C,A,B) -> k4_relset_1(A,B,C) = k1_relat_1(C))) # label(redefinition_k4_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 92 (all A all B (-v3_struct_0(A) & l1_struct_0(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m1_struct_0(C,A,B) <-> m1_subset_1(C,B))))) # label(redefinition_m1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 93 (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].
% 0.82/1.08 94 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 95 (all A all B all C (v1_relat_1(C) -> (r1_tarski(k1_relat_1(C),A) & r1_tarski(k2_relat_1(C),B) -> m2_relset_1(C,A,B)))) # label(t11_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 96 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 97 (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].
% 0.82/1.08 98 (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].
% 0.82/1.08 99 (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].
% 0.82/1.08 100 (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].
% 0.82/1.08 101 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 102 (all A all B all C (v1_relat_1(C) & v1_funct_1(C) -> (r2_hidden(B,k1_relat_1(k7_relat_1(C,A))) -> k1_funct_1(k7_relat_1(C,A),B) = k1_funct_1(C,B)))) # label(t70_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 103 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.08 104 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 105 (all A all B (v1_relat_1(B) -> (r1_tarski(A,k1_relat_1(B)) -> k1_relat_1(k7_relat_1(B,A)) = A))) # label(t91_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 106 (all A all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> -(r2_hidden(A,k2_zfmisc_1(B,C)) & (all D (m1_subset_1(D,B) -> (all E (m1_subset_1(E,C) -> A != k4_tarski(D,E)))))))))) # label(t9_domain_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 107 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m2_lattice4(B,A) -> v1_funct_1(k1_realset1(u2_lattices(A),B)) & v1_funct_2(k1_realset1(u2_lattices(A),B),k2_zfmisc_1(B,B),B) & m2_relset_1(k1_realset1(u2_lattices(A),B),k2_zfmisc_1(B,B),B) & v1_funct_1(k1_realset1(u1_lattices(A),B)) & v1_funct_2(k1_realset1(u1_lattices(A),B),k2_zfmisc_1(B,B),B) & m2_relset_1(k1_realset1(u1_lattices(A),B),k2_zfmisc_1(B,B),B))))) # label(t61_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.82/1.09
% 0.82/1.09 ============================== end of process non-clausal formulas ===
% 0.82/1.09
% 0.82/1.09 ============================== PROCESS INITIAL CLAUSES ===============
% 0.82/1.09
% 0.82/1.09 ============================== PREDICATE ELIMINATION =================
% 0.82/1.09 108 l3_lattices(c4) # label(existence_l3_lattices) # label(axiom). [clausify(55)].
% 0.82/1.09 109 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.82/1.09 110 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.82/1.09 111 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.82/1.09 112 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.82/1.09 113 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v8_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.82/1.09 114 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v9_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.82/1.09 115 -l3_lattices(A) | v3_struct_0(A) | -v4_lattices(A) | -v5_lattices(A) | -v6_lattices(A) | -v7_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | v10_lattices(A) # label(cc2_lattices) # label(axiom). [clausify(7)].
% 0.82/1.09 116 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m2_lattice4(B,A) | -m1_subset_1(C,u1_struct_0(A)) | -m1_subset_1(D,u1_struct_0(A)) | -r2_hidden(C,B) | -r2_hidden(D,B) | r2_hidden(k4_lattices(A,C,D),B) # label(d10_lattice4) # label(axiom). [clausify(11)].
% 0.82/1.09 117 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m2_lattice4(B,A) | -m1_subset_1(C,u1_struct_0(A)) | -m1_subset_1(D,u1_struct_0(A)) | -r2_hidden(C,B) | -r2_hidden(D,B) | r2_hidden(k3_lattices(A,C,D),B) # label(d10_lattice4) # label(axiom). [clausify(11)].
% 0.82/1.09 118 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m2_lattice4(B,A) | m1_subset_1(f1(A,B),u1_struct_0(A)) # label(d10_lattice4) # label(axiom). [clausify(11)].
% 0.82/1.09 119 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m2_lattice4(B,A) | m1_subset_1(f2(A,B),u1_struct_0(A)) # label(d10_lattice4) # label(axiom). [clausify(11)].
% 0.82/1.09 120 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m2_lattice4(B,A) | r2_hidden(f1(A,B),B) # label(d10_lattice4) # label(axiom). [clausify(11)].
% 0.82/1.09 121 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m2_lattice4(B,A) | r2_hidden(f2(A,B),B) # label(d10_lattice4) # label(axiom). [clausify(11)].
% 0.82/1.09 122 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m2_lattice4(B,A) | -r2_hidden(k4_lattices(A,f1(A,B),f2(A,B)),B) | -r2_hidden(k3_lattices(A,f1(A,B),f2(A,B)),B) # label(d10_lattice4) # label(axiom). [clausify(11)].
% 0.82/1.09 123 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(43)].
% 0.82/1.09 124 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(43)].
% 0.82/1.09 125 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_lattice4(B,A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) # label(dt_m2_lattice4) # label(axiom). [clausify(47)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v4_lattices(c4). [resolve(108,a,109,a)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v5_lattices(c4). [resolve(108,a,110,a)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v6_lattices(c4). [resolve(108,a,111,a)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v7_lattices(c4). [resolve(108,a,112,a)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v8_lattices(c4). [resolve(108,a,113,a)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v9_lattices(c4). [resolve(108,a,114,a)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v4_lattices(c4) | -v5_lattices(c4) | -v6_lattices(c4) | -v7_lattices(c4) | -v8_lattices(c4) | -v9_lattices(c4) | v10_lattices(c4). [resolve(108,a,115,a)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | -m2_lattice4(A,c4) | -m1_subset_1(B,u1_struct_0(c4)) | -m1_subset_1(C,u1_struct_0(c4)) | -r2_hidden(B,A) | -r2_hidden(C,A) | r2_hidden(k4_lattices(c4,B,C),A). [resolve(108,a,116,c)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | -m2_lattice4(A,c4) | -m1_subset_1(B,u1_struct_0(c4)) | -m1_subset_1(C,u1_struct_0(c4)) | -r2_hidden(B,A) | -r2_hidden(C,A) | r2_hidden(k3_lattices(c4,B,C),A). [resolve(108,a,117,c)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | m2_lattice4(A,c4) | m1_subset_1(f1(c4,A),u1_struct_0(c4)). [resolve(108,a,118,c)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | m2_lattice4(A,c4) | m1_subset_1(f2(c4,A),u1_struct_0(c4)). [resolve(108,a,119,c)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | m2_lattice4(A,c4) | r2_hidden(f1(c4,A),A). [resolve(108,a,120,c)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | m2_lattice4(A,c4) | r2_hidden(f2(c4,A),A). [resolve(108,a,121,c)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | m2_lattice4(A,c4) | -r2_hidden(k4_lattices(c4,f1(c4,A),f2(c4,A)),A) | -r2_hidden(k3_lattices(c4,f1(c4,A),f2(c4,A)),A). [resolve(108,a,122,c)].
% 0.82/1.09 Derived: l1_lattices(c4). [resolve(108,a,123,a)].
% 0.82/1.09 Derived: l2_lattices(c4). [resolve(108,a,124,a)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m2_lattice4(A,c4) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))). [resolve(108,a,125,c)].
% 0.82/1.09 126 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f10(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(59)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m2_lattice4(f10(c4),c4). [resolve(126,c,108,a)].
% 0.82/1.09 127 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f12(A),A) # label(rc1_lattice4) # label(axiom). [clausify(75)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m2_lattice4(f12(c4),c4). [resolve(127,c,108,a)].
% 0.82/1.09 128 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(f12(A)) # label(rc1_lattice4) # label(axiom). [clausify(75)].
% 0.82/1.09 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -v1_xboole_0(f12(c4)). [resolve(128,c,108,a)].
% 0.82/1.09 129 l3_lattices(c13) # label(t61_filter_2) # label(negated_conjecture). [clausify(107)].
% 0.82/1.09 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v4_lattices(c13). [resolve(129,a,109,a)].
% 0.82/1.09 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v5_lattices(c13). [resolve(129,a,110,a)].
% 0.82/1.09 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v6_lattices(c13). [resolve(129,a,111,a)].
% 0.82/1.09 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v7_lattices(c13). [resolve(129,a,112,a)].
% 0.82/1.09 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v8_lattices(c13). [resolve(129,a,113,a)].
% 0.82/1.09 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v9_lattices(c13). [resolve(129,a,114,a)].
% 0.82/1.09 Derived: v3_struct_0(c13) | -v4_lattices(c13) | -v5_lattices(c13) | -v6_lattices(c13) | -v7_lattices(c13) | -v8_lattices(c13) | -v9_lattices(c13) | v10_lattices(c13). [resolve(129,a,115,a)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v10_lattices(c13) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | -m2_lattice4(A,c13) | -m1_subset_1(B,u1_struct_0(c13)) | -m1_subset_1(C,u1_struct_0(c13)) | -r2_hidden(B,A) | -r2_hidden(C,A) | r2_hidden(k4_lattices(c13,B,C),A). [resolve(129,a,116,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v10_lattices(c13) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | -m2_lattice4(A,c13) | -m1_subset_1(B,u1_struct_0(c13)) | -m1_subset_1(C,u1_struct_0(c13)) | -r2_hidden(B,A) | -r2_hidden(C,A) | r2_hidden(k3_lattices(c13,B,C),A). [resolve(129,a,117,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v10_lattices(c13) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | m2_lattice4(A,c13) | m1_subset_1(f1(c13,A),u1_struct_0(c13)). [resolve(129,a,118,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v10_lattices(c13) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | m2_lattice4(A,c13) | m1_subset_1(f2(c13,A),u1_struct_0(c13)). [resolve(129,a,119,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v10_lattices(c13) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | m2_lattice4(A,c13) | r2_hidden(f1(c13,A),A). [resolve(129,a,120,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v10_lattices(c13) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | m2_lattice4(A,c13) | r2_hidden(f2(c13,A),A). [resolve(129,a,121,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v10_lattices(c13) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | m2_lattice4(A,c13) | -r2_hidden(k4_lattices(c13,f1(c13,A),f2(c13,A)),A) | -r2_hidden(k3_lattices(c13,f1(c13,A),f2(c13,A)),A). [resolve(129,a,122,c)].
% 0.82/1.10 Derived: l1_lattices(c13). [resolve(129,a,123,a)].
% 0.82/1.10 Derived: l2_lattices(c13). [resolve(129,a,124,a)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v10_lattices(c13) | -m2_lattice4(A,c13) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))). [resolve(129,a,125,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v10_lattices(c13) | m2_lattice4(f10(c13),c13). [resolve(129,a,126,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v10_lattices(c13) | m2_lattice4(f12(c13),c13). [resolve(129,a,127,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v10_lattices(c13) | -v1_xboole_0(f12(c13)). [resolve(129,a,128,c)].
% 0.82/1.10 130 l2_lattices(c3) # label(existence_l2_lattices) # label(axiom). [clausify(54)].
% 0.82/1.10 131 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k3_lattices(A,C,B) = k3_lattices(A,B,C) # label(commutativity_k3_lattices) # label(axiom). [clausify(9)].
% 0.82/1.10 132 v3_struct_0(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C) = k1_lattices(A,B,C) # label(d1_lattices) # label(axiom). [clausify(14)].
% 0.82/1.10 133 v3_struct_0(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k1_lattices(A,B,C),u1_struct_0(A)) # label(dt_k1_lattices) # label(axiom). [clausify(24)].
% 0.82/1.10 134 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k3_lattices(A,B,C),u1_struct_0(A)) # label(dt_k3_lattices) # label(axiom). [clausify(35)].
% 0.82/1.10 135 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(42)].
% 0.82/1.10 136 -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(dt_u2_lattices) # label(axiom). [clausify(51)].
% 0.82/1.10 137 -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(51)].
% 0.82/1.10 138 -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(51)].
% 0.82/1.10 Derived: v3_struct_0(c3) | -v4_lattices(c3) | -m1_subset_1(A,u1_struct_0(c3)) | -m1_subset_1(B,u1_struct_0(c3)) | k3_lattices(c3,B,A) = k3_lattices(c3,A,B). [resolve(130,a,131,c)].
% 0.82/1.10 Derived: v3_struct_0(c3) | -m1_subset_1(A,u1_struct_0(c3)) | -m1_subset_1(B,u1_struct_0(c3)) | k2_binop_1(u1_struct_0(c3),u1_struct_0(c3),u1_struct_0(c3),u2_lattices(c3),A,B) = k1_lattices(c3,A,B). [resolve(130,a,132,b)].
% 0.82/1.10 Derived: v3_struct_0(c3) | -m1_subset_1(A,u1_struct_0(c3)) | -m1_subset_1(B,u1_struct_0(c3)) | m1_subset_1(k1_lattices(c3,A,B),u1_struct_0(c3)). [resolve(130,a,133,b)].
% 0.82/1.10 Derived: v3_struct_0(c3) | -v4_lattices(c3) | -m1_subset_1(A,u1_struct_0(c3)) | -m1_subset_1(B,u1_struct_0(c3)) | m1_subset_1(k3_lattices(c3,A,B),u1_struct_0(c3)). [resolve(130,a,134,c)].
% 0.82/1.10 Derived: l1_struct_0(c3). [resolve(130,a,135,a)].
% 0.82/1.10 Derived: v1_funct_1(u2_lattices(c3)). [resolve(130,a,136,a)].
% 0.82/1.10 Derived: v1_funct_2(u2_lattices(c3),k2_zfmisc_1(u1_struct_0(c3),u1_struct_0(c3)),u1_struct_0(c3)). [resolve(130,a,137,a)].
% 0.82/1.10 Derived: m2_relset_1(u2_lattices(c3),k2_zfmisc_1(u1_struct_0(c3),u1_struct_0(c3)),u1_struct_0(c3)). [resolve(130,a,138,a)].
% 0.82/1.10 139 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(64)].
% 0.82/1.10 Derived: v3_struct_0(c3) | -v4_lattices(c3) | v1_relat_1(u2_lattices(c3)). [resolve(139,c,130,a)].
% 0.82/1.10 140 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(64)].
% 0.82/1.10 141 v3_struct_0(A) | -v4_lattices(A) | -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(fc2_lattice2) # label(axiom). [clausify(64)].
% 0.82/1.10 142 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_binop_1(u2_lattices(A),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(64)].
% 0.82/1.10 Derived: v3_struct_0(c3) | -v4_lattices(c3) | v1_binop_1(u2_lattices(c3),u1_struct_0(c3)). [resolve(142,c,130,a)].
% 0.82/1.10 143 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(64)].
% 0.82/1.10 Derived: v3_struct_0(c3) | -v4_lattices(c3) | v1_partfun1(u2_lattices(c3),k2_zfmisc_1(u1_struct_0(c3),u1_struct_0(c3)),u1_struct_0(c3)). [resolve(143,c,130,a)].
% 0.82/1.10 144 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(67)].
% 0.82/1.10 Derived: v3_struct_0(c3) | -v5_lattices(c3) | v1_relat_1(u2_lattices(c3)). [resolve(144,c,130,a)].
% 0.82/1.10 145 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(67)].
% 0.82/1.10 146 v3_struct_0(A) | -v5_lattices(A) | -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(fc3_lattice2) # label(axiom). [clausify(67)].
% 0.82/1.10 147 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v2_binop_1(u2_lattices(A),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(67)].
% 0.82/1.10 Derived: v3_struct_0(c3) | -v5_lattices(c3) | v2_binop_1(u2_lattices(c3),u1_struct_0(c3)). [resolve(147,c,130,a)].
% 0.82/1.10 148 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(67)].
% 0.82/1.10 Derived: v3_struct_0(c3) | -v5_lattices(c3) | v1_partfun1(u2_lattices(c3),k2_zfmisc_1(u1_struct_0(c3),u1_struct_0(c3)),u1_struct_0(c3)). [resolve(148,c,130,a)].
% 0.82/1.10 149 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k1_lattices(A,B,C) = k3_lattices(A,B,C) # label(redefinition_k3_lattices) # label(axiom). [clausify(89)].
% 0.82/1.10 Derived: v3_struct_0(c3) | -v4_lattices(c3) | -m1_subset_1(A,u1_struct_0(c3)) | -m1_subset_1(B,u1_struct_0(c3)) | k1_lattices(c3,A,B) = k3_lattices(c3,A,B). [resolve(149,c,130,a)].
% 0.82/1.10 150 l2_lattices(c4). [resolve(108,a,124,a)].
% 0.82/1.10 Derived: v3_struct_0(c4) | -v4_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | k3_lattices(c4,B,A) = k3_lattices(c4,A,B). [resolve(150,a,131,c)].
% 0.82/1.10 Derived: v3_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | k2_binop_1(u1_struct_0(c4),u1_struct_0(c4),u1_struct_0(c4),u2_lattices(c4),A,B) = k1_lattices(c4,A,B). [resolve(150,a,132,b)].
% 0.82/1.10 Derived: v3_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | m1_subset_1(k1_lattices(c4,A,B),u1_struct_0(c4)). [resolve(150,a,133,b)].
% 0.82/1.10 Derived: v3_struct_0(c4) | -v4_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | m1_subset_1(k3_lattices(c4,A,B),u1_struct_0(c4)). [resolve(150,a,134,c)].
% 0.82/1.10 Derived: l1_struct_0(c4). [resolve(150,a,135,a)].
% 0.82/1.10 Derived: v1_funct_1(u2_lattices(c4)). [resolve(150,a,136,a)].
% 0.82/1.10 Derived: v1_funct_2(u2_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(150,a,137,a)].
% 0.82/1.10 Derived: m2_relset_1(u2_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(150,a,138,a)].
% 0.82/1.10 Derived: v3_struct_0(c4) | -v4_lattices(c4) | v1_relat_1(u2_lattices(c4)). [resolve(150,a,139,c)].
% 0.82/1.10 Derived: v3_struct_0(c4) | -v4_lattices(c4) | v1_binop_1(u2_lattices(c4),u1_struct_0(c4)). [resolve(150,a,142,c)].
% 0.82/1.10 Derived: v3_struct_0(c4) | -v4_lattices(c4) | v1_partfun1(u2_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(150,a,143,c)].
% 0.82/1.10 Derived: v3_struct_0(c4) | -v5_lattices(c4) | v1_relat_1(u2_lattices(c4)). [resolve(150,a,144,c)].
% 0.82/1.10 Derived: v3_struct_0(c4) | -v5_lattices(c4) | v2_binop_1(u2_lattices(c4),u1_struct_0(c4)). [resolve(150,a,147,c)].
% 0.82/1.10 Derived: v3_struct_0(c4) | -v5_lattices(c4) | v1_partfun1(u2_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(150,a,148,c)].
% 0.82/1.10 Derived: v3_struct_0(c4) | -v4_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | k1_lattices(c4,A,B) = k3_lattices(c4,A,B). [resolve(150,a,149,c)].
% 0.82/1.10 151 l2_lattices(c13). [resolve(129,a,124,a)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v4_lattices(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | k3_lattices(c13,B,A) = k3_lattices(c13,A,B). [resolve(151,a,131,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | k2_binop_1(u1_struct_0(c13),u1_struct_0(c13),u1_struct_0(c13),u2_lattices(c13),A,B) = k1_lattices(c13,A,B). [resolve(151,a,132,b)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | m1_subset_1(k1_lattices(c13,A,B),u1_struct_0(c13)). [resolve(151,a,133,b)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v4_lattices(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | m1_subset_1(k3_lattices(c13,A,B),u1_struct_0(c13)). [resolve(151,a,134,c)].
% 0.82/1.10 Derived: l1_struct_0(c13). [resolve(151,a,135,a)].
% 0.82/1.10 Derived: v1_funct_1(u2_lattices(c13)). [resolve(151,a,136,a)].
% 0.82/1.10 Derived: v1_funct_2(u2_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(151,a,137,a)].
% 0.82/1.10 Derived: m2_relset_1(u2_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(151,a,138,a)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v4_lattices(c13) | v1_relat_1(u2_lattices(c13)). [resolve(151,a,139,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v4_lattices(c13) | v1_binop_1(u2_lattices(c13),u1_struct_0(c13)). [resolve(151,a,142,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v4_lattices(c13) | v1_partfun1(u2_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(151,a,143,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v5_lattices(c13) | v1_relat_1(u2_lattices(c13)). [resolve(151,a,144,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v5_lattices(c13) | v2_binop_1(u2_lattices(c13),u1_struct_0(c13)). [resolve(151,a,147,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v5_lattices(c13) | v1_partfun1(u2_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(151,a,148,c)].
% 0.82/1.10 Derived: v3_struct_0(c13) | -v4_lattices(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | k1_lattices(c13,A,B) = k3_lattices(c13,A,B). [resolve(151,a,149,c)].
% 0.82/1.10 152 l1_lattices(c1) # label(existence_l1_lattices) # label(axiom). [clausify(52)].
% 0.82/1.10 153 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(10)].
% 0.82/1.10 154 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(15)].
% 0.82/1.10 155 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(31)].
% 0.82/1.10 156 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(36)].
% 0.82/1.10 157 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(40)].
% 0.82/1.10 158 -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(dt_u1_lattices) # label(axiom). [clausify(49)].
% 0.82/1.10 159 -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(49)].
% 0.82/1.10 160 -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(49)].
% 0.82/1.10 Derived: v3_struct_0(c1) | -v6_lattices(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | k4_lattices(c1,B,A) = k4_lattices(c1,A,B). [resolve(152,a,153,c)].
% 0.82/1.10 Derived: v3_struct_0(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | k2_lattices(c1,A,B) = k2_binop_1(u1_struct_0(c1),u1_struct_0(c1),u1_struct_0(c1),u1_lattices(c1),A,B). [resolve(152,a,154,b)].
% 0.82/1.10 Derived: v3_struct_0(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | m1_subset_1(k2_lattices(c1,A,B),u1_struct_0(c1)). [resolve(152,a,155,b)].
% 0.82/1.10 Derived: v3_struct_0(c1) | -v6_lattices(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | m1_subset_1(k4_lattices(c1,A,B),u1_struct_0(c1)). [resolve(152,a,156,c)].
% 0.82/1.10 Derived: l1_struct_0(c1). [resolve(152,a,157,a)].
% 0.82/1.10 Derived: v1_funct_1(u1_lattices(c1)). [resolve(152,a,158,a)].
% 0.82/1.10 Derived: v1_funct_2(u1_lattices(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(152,a,159,a)].
% 0.82/1.10 Derived: m2_relset_1(u1_lattices(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(152,a,160,a)].
% 0.82/1.10 161 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(71)].
% 0.82/1.10 Derived: v3_struct_0(c1) | -v6_lattices(c1) | v1_relat_1(u1_lattices(c1)). [resolve(161,c,152,a)].
% 0.82/1.10 162 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(71)].
% 0.82/1.10 163 v3_struct_0(A) | -v6_lattices(A) | -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(fc4_lattice2) # label(axiom). [clausify(71)].
% 0.82/1.10 164 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_binop_1(u1_lattices(A),u1_struct_0(A)) # label(fc4_lattice2) # label(axiom). [clausify(71)].
% 0.82/1.10 Derived: v3_struct_0(c1) | -v6_lattices(c1) | v1_binop_1(u1_lattices(c1),u1_struct_0(c1)). [resolve(164,c,152,a)].
% 0.82/1.10 165 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc4_lattice2) # label(axiom). [clausify(71)].
% 0.82/1.10 Derived: v3_struct_0(c1) | -v6_lattices(c1) | v1_partfun1(u1_lattices(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(165,c,152,a)].
% 0.82/1.10 166 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(73)].
% 0.82/1.10 Derived: v3_struct_0(c1) | -v7_lattices(c1) | v1_relat_1(u1_lattices(c1)). [resolve(166,c,152,a)].
% 0.82/1.10 167 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(73)].
% 0.82/1.10 168 v3_struct_0(A) | -v7_lattices(A) | -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(fc5_lattice2) # label(axiom). [clausify(73)].
% 0.82/1.11 169 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v2_binop_1(u1_lattices(A),u1_struct_0(A)) # label(fc5_lattice2) # label(axiom). [clausify(73)].
% 0.82/1.11 Derived: v3_struct_0(c1) | -v7_lattices(c1) | v2_binop_1(u1_lattices(c1),u1_struct_0(c1)). [resolve(169,c,152,a)].
% 0.82/1.11 170 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc5_lattice2) # label(axiom). [clausify(73)].
% 0.82/1.11 Derived: v3_struct_0(c1) | -v7_lattices(c1) | v1_partfun1(u1_lattices(c1),k2_zfmisc_1(u1_struct_0(c1),u1_struct_0(c1)),u1_struct_0(c1)). [resolve(170,c,152,a)].
% 0.82/1.11 171 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(90)].
% 0.82/1.11 Derived: v3_struct_0(c1) | -v6_lattices(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | k2_lattices(c1,A,B) = k4_lattices(c1,A,B). [resolve(171,c,152,a)].
% 0.82/1.11 172 l1_lattices(c4). [resolve(108,a,123,a)].
% 0.82/1.11 Derived: v3_struct_0(c4) | -v6_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | k4_lattices(c4,B,A) = k4_lattices(c4,A,B). [resolve(172,a,153,c)].
% 0.82/1.11 Derived: v3_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | k2_lattices(c4,A,B) = k2_binop_1(u1_struct_0(c4),u1_struct_0(c4),u1_struct_0(c4),u1_lattices(c4),A,B). [resolve(172,a,154,b)].
% 0.82/1.11 Derived: v3_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | m1_subset_1(k2_lattices(c4,A,B),u1_struct_0(c4)). [resolve(172,a,155,b)].
% 0.82/1.11 Derived: v3_struct_0(c4) | -v6_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | m1_subset_1(k4_lattices(c4,A,B),u1_struct_0(c4)). [resolve(172,a,156,c)].
% 0.82/1.11 Derived: v1_funct_1(u1_lattices(c4)). [resolve(172,a,158,a)].
% 0.82/1.11 Derived: v1_funct_2(u1_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(172,a,159,a)].
% 0.82/1.11 Derived: m2_relset_1(u1_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(172,a,160,a)].
% 0.82/1.11 Derived: v3_struct_0(c4) | -v6_lattices(c4) | v1_relat_1(u1_lattices(c4)). [resolve(172,a,161,c)].
% 0.82/1.11 Derived: v3_struct_0(c4) | -v6_lattices(c4) | v1_binop_1(u1_lattices(c4),u1_struct_0(c4)). [resolve(172,a,164,c)].
% 0.82/1.11 Derived: v3_struct_0(c4) | -v6_lattices(c4) | v1_partfun1(u1_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(172,a,165,c)].
% 0.82/1.11 Derived: v3_struct_0(c4) | -v7_lattices(c4) | v1_relat_1(u1_lattices(c4)). [resolve(172,a,166,c)].
% 0.82/1.11 Derived: v3_struct_0(c4) | -v7_lattices(c4) | v2_binop_1(u1_lattices(c4),u1_struct_0(c4)). [resolve(172,a,169,c)].
% 0.82/1.11 Derived: v3_struct_0(c4) | -v7_lattices(c4) | v1_partfun1(u1_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(172,a,170,c)].
% 0.82/1.11 Derived: v3_struct_0(c4) | -v6_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | k2_lattices(c4,A,B) = k4_lattices(c4,A,B). [resolve(172,a,171,c)].
% 0.82/1.11 173 l1_lattices(c13). [resolve(129,a,123,a)].
% 0.82/1.11 Derived: v3_struct_0(c13) | -v6_lattices(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | k4_lattices(c13,B,A) = k4_lattices(c13,A,B). [resolve(173,a,153,c)].
% 0.82/1.11 Derived: v3_struct_0(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | k2_lattices(c13,A,B) = k2_binop_1(u1_struct_0(c13),u1_struct_0(c13),u1_struct_0(c13),u1_lattices(c13),A,B). [resolve(173,a,154,b)].
% 0.82/1.11 Derived: v3_struct_0(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | m1_subset_1(k2_lattices(c13,A,B),u1_struct_0(c13)). [resolve(173,a,155,b)].
% 0.82/1.11 Derived: v3_struct_0(c13) | -v6_lattices(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | m1_subset_1(k4_lattices(c13,A,B),u1_struct_0(c13)). [resolve(173,a,156,c)].
% 0.82/1.11 Derived: v1_funct_1(u1_lattices(c13)). [resolve(173,a,158,a)].
% 0.82/1.11 Derived: v1_funct_2(u1_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(173,a,159,a)].
% 0.82/1.11 Derived: m2_relset_1(u1_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(173,a,160,a)].
% 0.82/1.11 Derived: v3_struct_0(c13) | -v6_lattices(c13) | v1_relat_1(u1_lattices(c13)). [resolve(173,a,161,c)].
% 0.82/1.11 Derived: v3_struct_0(c13) | -v6_lattices(c13) | v1_binop_1(u1_lattices(c13),u1_struct_0(c13)). [resolve(173,a,164,c)].
% 0.82/1.11 Derived: v3_struct_0(c13) | -v6_lattices(c13) | v1_partfun1(u1_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(173,a,165,c)].
% 0.82/1.11 Derived: v3_struct_0(c13) | -v7_lattices(c13) | v1_relat_1(u1_lattices(c13)). [resolve(173,a,166,c)].
% 0.82/1.11 Derived: v3_struct_0(c13) | -v7_lattices(c13) | v2_binop_1(u1_lattices(c13),u1_struct_0(c13)). [resolve(173,a,169,c)].
% 0.82/1.11 Derived: v3_struct_0(c13) | -v7_lattices(c13) | v1_partfun1(u1_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(173,a,170,c)].
% 0.82/1.11 Derived: v3_struct_0(c13) | -v6_lattices(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | k2_lattices(c13,A,B) = k4_lattices(c13,A,B). [resolve(173,a,171,c)].
% 0.82/1.11 174 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(53)].
% 0.82/1.11 175 v3_struct_0(A) | -l1_struct_0(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m1_struct_0(C,A,B) | m1_subset_1(C,u1_struct_0(A)) # label(dt_m1_struct_0) # label(axiom). [clausify(45)].
% 0.82/1.11 Derived: v3_struct_0(c2) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c2))) | -m1_struct_0(B,c2,A) | m1_subset_1(B,u1_struct_0(c2)). [resolve(174,a,175,b)].
% 0.82/1.11 176 v3_struct_0(A) | -l1_struct_0(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_struct_0(f8(A,B),A,B) # label(existence_m1_struct_0) # label(axiom). [clausify(57)].
% 0.82/1.11 Derived: v3_struct_0(c2) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c2))) | m1_struct_0(f8(c2,A),c2,A). [resolve(176,b,174,a)].
% 0.82/1.11 177 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(62)].
% 0.82/1.11 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(177,b,174,a)].
% 0.82/1.11 178 l1_struct_0(c12) # label(rc3_struct_0) # label(axiom). [clausify(84)].
% 0.82/1.11 Derived: v3_struct_0(c12) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c12))) | -m1_struct_0(B,c12,A) | m1_subset_1(B,u1_struct_0(c12)). [resolve(178,a,175,b)].
% 0.82/1.11 Derived: v3_struct_0(c12) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c12))) | m1_struct_0(f8(c12,A),c12,A). [resolve(178,a,176,b)].
% 0.82/1.11 Derived: v3_struct_0(c12) | -v1_xboole_0(u1_struct_0(c12)). [resolve(178,a,177,b)].
% 0.82/1.11 179 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f15(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(85)].
% 0.82/1.11 Derived: v3_struct_0(c2) | m1_subset_1(f15(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(179,b,174,a)].
% 0.82/1.11 Derived: v3_struct_0(c12) | m1_subset_1(f15(c12),k1_zfmisc_1(u1_struct_0(c12))). [resolve(179,b,178,a)].
% 0.82/1.11 180 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f15(A)) # label(rc5_struct_0) # label(axiom). [clausify(85)].
% 0.82/1.11 Derived: v3_struct_0(c2) | -v1_xboole_0(f15(c2)). [resolve(180,b,174,a)].
% 0.82/1.11 Derived: v3_struct_0(c12) | -v1_xboole_0(f15(c12)). [resolve(180,b,178,a)].
% 0.82/1.11 181 v3_struct_0(A) | -l1_struct_0(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m1_struct_0(C,A,B) | m1_subset_1(C,B) # label(redefinition_m1_struct_0) # label(axiom). [clausify(92)].
% 0.82/1.11 Derived: v3_struct_0(c2) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c2))) | -m1_struct_0(B,c2,A) | m1_subset_1(B,A). [resolve(181,b,174,a)].
% 0.82/1.11 Derived: v3_struct_0(c12) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c12))) | -m1_struct_0(B,c12,A) | m1_subset_1(B,A). [resolve(181,b,178,a)].
% 0.82/1.11 182 v3_struct_0(A) | -l1_struct_0(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_struct_0(C,A,B) | -m1_subset_1(C,B) # label(redefinition_m1_struct_0) # label(axiom). [clausify(92)].
% 0.82/1.11 Derived: v3_struct_0(c2) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c2))) | m1_struct_0(B,c2,A) | -m1_subset_1(B,A). [resolve(182,b,174,a)].
% 0.82/1.14 Derived: v3_struct_0(c12) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c12))) | m1_struct_0(B,c12,A) | -m1_subset_1(B,A). [resolve(182,b,178,a)].
% 0.82/1.14 183 l1_struct_0(c3). [resolve(130,a,135,a)].
% 0.82/1.14 Derived: v3_struct_0(c3) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c3))) | -m1_struct_0(B,c3,A) | m1_subset_1(B,u1_struct_0(c3)). [resolve(183,a,175,b)].
% 0.82/1.14 Derived: v3_struct_0(c3) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c3))) | m1_struct_0(f8(c3,A),c3,A). [resolve(183,a,176,b)].
% 0.82/1.14 Derived: v3_struct_0(c3) | -v1_xboole_0(u1_struct_0(c3)). [resolve(183,a,177,b)].
% 0.82/1.14 Derived: v3_struct_0(c3) | m1_subset_1(f15(c3),k1_zfmisc_1(u1_struct_0(c3))). [resolve(183,a,179,b)].
% 0.82/1.14 Derived: v3_struct_0(c3) | -v1_xboole_0(f15(c3)). [resolve(183,a,180,b)].
% 0.82/1.14 Derived: v3_struct_0(c3) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c3))) | -m1_struct_0(B,c3,A) | m1_subset_1(B,A). [resolve(183,a,181,b)].
% 0.82/1.14 Derived: v3_struct_0(c3) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c3))) | m1_struct_0(B,c3,A) | -m1_subset_1(B,A). [resolve(183,a,182,b)].
% 0.82/1.14 184 l1_struct_0(c4). [resolve(150,a,135,a)].
% 0.82/1.14 Derived: v3_struct_0(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | -m1_struct_0(B,c4,A) | m1_subset_1(B,u1_struct_0(c4)). [resolve(184,a,175,b)].
% 0.82/1.14 Derived: v3_struct_0(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | m1_struct_0(f8(c4,A),c4,A). [resolve(184,a,176,b)].
% 0.82/1.14 Derived: v3_struct_0(c4) | -v1_xboole_0(u1_struct_0(c4)). [resolve(184,a,177,b)].
% 0.82/1.14 Derived: v3_struct_0(c4) | m1_subset_1(f15(c4),k1_zfmisc_1(u1_struct_0(c4))). [resolve(184,a,179,b)].
% 0.82/1.14 Derived: v3_struct_0(c4) | -v1_xboole_0(f15(c4)). [resolve(184,a,180,b)].
% 0.82/1.14 Derived: v3_struct_0(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | -m1_struct_0(B,c4,A) | m1_subset_1(B,A). [resolve(184,a,181,b)].
% 0.82/1.14 Derived: v3_struct_0(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | m1_struct_0(B,c4,A) | -m1_subset_1(B,A). [resolve(184,a,182,b)].
% 0.82/1.14 185 l1_struct_0(c13). [resolve(151,a,135,a)].
% 0.82/1.14 Derived: v3_struct_0(c13) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | -m1_struct_0(B,c13,A) | m1_subset_1(B,u1_struct_0(c13)). [resolve(185,a,175,b)].
% 0.82/1.14 Derived: v3_struct_0(c13) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | m1_struct_0(f8(c13,A),c13,A). [resolve(185,a,176,b)].
% 0.82/1.14 Derived: v3_struct_0(c13) | -v1_xboole_0(u1_struct_0(c13)). [resolve(185,a,177,b)].
% 0.82/1.14 Derived: v3_struct_0(c13) | m1_subset_1(f15(c13),k1_zfmisc_1(u1_struct_0(c13))). [resolve(185,a,179,b)].
% 0.82/1.14 Derived: v3_struct_0(c13) | -v1_xboole_0(f15(c13)). [resolve(185,a,180,b)].
% 0.82/1.14 Derived: v3_struct_0(c13) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | -m1_struct_0(B,c13,A) | m1_subset_1(B,A). [resolve(185,a,181,b)].
% 0.82/1.14 Derived: v3_struct_0(c13) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | m1_struct_0(B,c13,A) | -m1_subset_1(B,A). [resolve(185,a,182,b)].
% 0.82/1.14 186 l1_struct_0(c1). [resolve(152,a,157,a)].
% 0.82/1.14 Derived: v3_struct_0(c1) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c1))) | -m1_struct_0(B,c1,A) | m1_subset_1(B,u1_struct_0(c1)). [resolve(186,a,175,b)].
% 0.82/1.14 Derived: v3_struct_0(c1) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c1))) | m1_struct_0(f8(c1,A),c1,A). [resolve(186,a,176,b)].
% 0.82/1.14 Derived: v3_struct_0(c1) | -v1_xboole_0(u1_struct_0(c1)). [resolve(186,a,177,b)].
% 0.82/1.14 Derived: v3_struct_0(c1) | m1_subset_1(f15(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(186,a,179,b)].
% 0.82/1.14 Derived: v3_struct_0(c1) | -v1_xboole_0(f15(c1)). [resolve(186,a,180,b)].
% 0.82/1.14 Derived: v3_struct_0(c1) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c1))) | -m1_struct_0(B,c1,A) | m1_subset_1(B,A). [resolve(186,a,181,b)].
% 0.82/1.14 Derived: v3_struct_0(c1) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c1))) | m1_struct_0(B,c1,A) | -m1_subset_1(B,A). [resolve(186,a,182,b)].
% 0.82/1.14
% 0.82/1.14 ============================== end predicate elimination =Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------