TSTP Solution File: LAT300+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT300+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.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 06:27:08 EDT 2022
% Result : Theorem 0.78s 1.09s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT300+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 14:27:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.05 ============================== Prover9 ===============================
% 0.44/1.05 Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.05 Process 16497 was started by sandbox on n020.cluster.edu,
% 0.44/1.05 Wed Jun 29 14:27:01 2022
% 0.44/1.05 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_16344_n020.cluster.edu".
% 0.44/1.05 ============================== end of head ===========================
% 0.44/1.05
% 0.44/1.05 ============================== INPUT =================================
% 0.44/1.05
% 0.44/1.05 % Reading from file /tmp/Prover9_16344_n020.cluster.edu
% 0.44/1.05
% 0.44/1.05 set(prolog_style_variables).
% 0.44/1.05 set(auto2).
% 0.44/1.05 % set(auto2) -> set(auto).
% 0.44/1.05 % set(auto) -> set(auto_inference).
% 0.44/1.05 % set(auto) -> set(auto_setup).
% 0.44/1.05 % set(auto_setup) -> set(predicate_elim).
% 0.44/1.05 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.05 % set(auto) -> set(auto_limits).
% 0.44/1.05 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.05 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.05 % set(auto) -> set(auto_denials).
% 0.44/1.05 % set(auto) -> set(auto_process).
% 0.44/1.05 % set(auto2) -> assign(new_constants, 1).
% 0.44/1.05 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.05 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.05 % set(auto2) -> assign(max_hours, 1).
% 0.44/1.05 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.05 % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.05 % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.05 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.05 % set(auto2) -> set(sort_initial_sos).
% 0.44/1.05 % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.05 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.05 % set(auto2) -> assign(max_megs, 400).
% 0.44/1.05 % set(auto2) -> assign(stats, some).
% 0.44/1.05 % set(auto2) -> clear(echo_input).
% 0.44/1.05 % set(auto2) -> set(quiet).
% 0.44/1.05 % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.05 % set(auto2) -> clear(print_given).
% 0.44/1.05 assign(lrs_ticks,-1).
% 0.44/1.05 assign(sos_limit,10000).
% 0.44/1.05 assign(order,kbo).
% 0.44/1.05 set(lex_order_vars).
% 0.44/1.05 clear(print_given).
% 0.44/1.05
% 0.44/1.05 % formulas(sos). % not echoed (44 formulas)
% 0.44/1.05
% 0.44/1.05 ============================== end of input ==========================
% 0.44/1.05
% 0.44/1.05 % From the command line: assign(max_seconds, 300).
% 0.44/1.05
% 0.44/1.05 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.05
% 0.44/1.05 % Formulas that are not ordinary clauses:
% 0.44/1.05 1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 2 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 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].
% 0.44/1.05 4 (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].
% 0.44/1.05 5 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 6 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 7 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 8 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 9 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 10 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 11 (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].
% 0.44/1.05 12 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 13 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 14 (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].
% 0.44/1.05 15 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 16 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 17 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 18 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 19 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 20 (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].
% 0.44/1.05 21 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 22 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m2_filter_2(B,A)))) # label(existence_m2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 23 (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].
% 0.44/1.05 24 (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].
% 0.44/1.05 25 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 26 (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].
% 0.44/1.05 27 (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].
% 0.44/1.05 28 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 29 (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].
% 0.44/1.05 30 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 31 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 32 (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].
% 0.44/1.05 33 (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].
% 0.44/1.05 34 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 35 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 36 (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].
% 0.44/1.05 37 (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].
% 0.44/1.05 38 (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].
% 0.44/1.05 39 (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].
% 0.44/1.05 40 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 41 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 42 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.05 43 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & r2_hidden(C,B))))))) # label(t24_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.44/1.05
% 0.44/1.05 ============================== end of process non-clausal formulas ===
% 0.44/1.05
% 0.44/1.05 ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/1.05
% 0.44/1.05 ============================== PREDICATE ELIMINATION =================
% 0.44/1.05 44 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(7)].
% 0.44/1.05 45 l1_lattices(c1) # label(existence_l1_lattices) # label(axiom). [clausify(16)].
% 0.44/1.05 Derived: l1_struct_0(c1). [resolve(44,a,45,a)].
% 0.44/1.05 46 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(10)].
% 0.44/1.05 Derived: -l3_lattices(A) | l1_struct_0(A). [resolve(46,b,44,a)].
% 0.44/1.05 47 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(24)].
% 0.44/1.05 48 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(17)].
% 0.44/1.05 49 l1_struct_0(c7) # label(rc3_struct_0) # label(axiom). [clausify(31)].
% 0.44/1.05 50 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(9)].
% 0.44/1.05 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(47,b,48,a)].
% 0.44/1.05 Derived: v3_struct_0(c7) | -v1_xboole_0(u1_struct_0(c7)). [resolve(47,b,49,a)].
% 0.44/1.05 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(47,b,50,b)].
% 0.44/1.05 51 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f8(A)) # label(rc5_struct_0) # label(axiom). [clausify(32)].
% 0.44/1.05 Derived: v3_struct_0(c2) | -v1_xboole_0(f8(c2)). [resolve(51,b,48,a)].
% 0.44/1.05 Derived: v3_struct_0(c7) | -v1_xboole_0(f8(c7)). [resolve(51,b,49,a)].
% 0.44/1.05 Derived: v3_struct_0(A) | -v1_xboole_0(f8(A)) | -l2_lattices(A). [resolve(51,b,50,b)].
% 0.44/1.05 52 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(32)].
% 0.44/1.05 Derived: v3_struct_0(c2) | m1_subset_1(f8(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(52,b,48,a)].
% 0.44/1.05 Derived: v3_struct_0(c7) | m1_subset_1(f8(c7),k1_zfmisc_1(u1_struct_0(c7))). [resolve(52,b,49,a)].
% 0.44/1.05 Derived: v3_struct_0(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(52,b,50,b)].
% 0.44/1.05 53 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(f1(A,B),A,B) # label(existence_m1_struct_0) # label(axiom). [clausify(20)].
% 0.44/1.05 Derived: v3_struct_0(c2) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c2))) | m1_struct_0(f1(c2,A),c2,A). [resolve(53,b,48,a)].
% 0.44/1.05 Derived: v3_struct_0(c7) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c7))) | m1_struct_0(f1(c7,A),c7,A). [resolve(53,b,49,a)].
% 0.44/1.05 Derived: v3_struct_0(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_struct_0(f1(A,B),A,B) | -l2_lattices(A). [resolve(53,b,50,b)].
% 0.44/1.05 54 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(33)].
% 0.44/1.05 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(54,b,48,a)].
% 0.44/1.05 Derived: v3_struct_0(c7) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c7))) | -m1_struct_0(B,c7,A) | m1_subset_1(B,A). [resolve(54,b,49,a)].
% 0.44/1.05 Derived: v3_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) | -l2_lattices(A). [resolve(54,b,50,b)].
% 0.44/1.05 55 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(33)].
% 0.44/1.05 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(55,b,48,a)].
% 0.44/1.05 Derived: v3_struct_0(c7) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c7))) | m1_struct_0(B,c7,A) | -m1_subset_1(B,A). [resolve(55,b,49,a)].
% 0.44/1.06 Derived: v3_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) | -l2_lattices(A). [resolve(55,b,50,b)].
% 0.44/1.06 56 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(11)].
% 0.44/1.06 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(56,b,48,a)].
% 0.44/1.06 Derived: v3_struct_0(c7) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c7))) | -m1_struct_0(B,c7,A) | m1_subset_1(B,u1_struct_0(c7)). [resolve(56,b,49,a)].
% 0.44/1.06 Derived: v3_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)) | -l2_lattices(A). [resolve(56,b,50,b)].
% 0.44/1.06 57 l1_struct_0(c1). [resolve(44,a,45,a)].
% 0.44/1.06 Derived: v3_struct_0(c1) | -v1_xboole_0(u1_struct_0(c1)). [resolve(57,a,47,b)].
% 0.44/1.06 Derived: v3_struct_0(c1) | -v1_xboole_0(f8(c1)). [resolve(57,a,51,b)].
% 0.44/1.06 Derived: v3_struct_0(c1) | m1_subset_1(f8(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(57,a,52,b)].
% 0.44/1.06 Derived: v3_struct_0(c1) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c1))) | m1_struct_0(f1(c1,A),c1,A). [resolve(57,a,53,b)].
% 0.44/1.06 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(57,a,54,b)].
% 0.44/1.06 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(57,a,55,b)].
% 0.44/1.06 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(57,a,56,b)].
% 0.44/1.06 58 -l3_lattices(A) | l1_struct_0(A). [resolve(46,b,44,a)].
% 0.44/1.06 Derived: -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(58,b,47,b)].
% 0.44/1.06 Derived: -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(f8(A)). [resolve(58,b,51,b)].
% 0.44/1.06 Derived: -l3_lattices(A) | v3_struct_0(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(58,b,52,b)].
% 0.44/1.06 Derived: -l3_lattices(A) | v3_struct_0(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_struct_0(f1(A,B),A,B). [resolve(58,b,53,b)].
% 0.44/1.06 Derived: -l3_lattices(A) | v3_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). [resolve(58,b,54,b)].
% 0.44/1.06 Derived: -l3_lattices(A) | v3_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). [resolve(58,b,55,b)].
% 0.44/1.06 Derived: -l3_lattices(A) | v3_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)). [resolve(58,b,56,b)].
% 0.44/1.06 59 v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(47,b,50,b)].
% 0.44/1.06 60 l2_lattices(c3) # label(existence_l2_lattices) # label(axiom). [clausify(18)].
% 0.44/1.06 61 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(10)].
% 0.44/1.06 Derived: v3_struct_0(c3) | -v1_xboole_0(u1_struct_0(c3)). [resolve(59,c,60,a)].
% 0.44/1.06 62 v3_struct_0(A) | -v1_xboole_0(f8(A)) | -l2_lattices(A). [resolve(51,b,50,b)].
% 0.44/1.06 Derived: v3_struct_0(c3) | -v1_xboole_0(f8(c3)). [resolve(62,c,60,a)].
% 0.44/1.06 63 v3_struct_0(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(52,b,50,b)].
% 0.44/1.06 Derived: v3_struct_0(c3) | m1_subset_1(f8(c3),k1_zfmisc_1(u1_struct_0(c3))). [resolve(63,c,60,a)].
% 0.44/1.06 64 v3_struct_0(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_struct_0(f1(A,B),A,B) | -l2_lattices(A). [resolve(53,b,50,b)].
% 0.44/1.06 Derived: v3_struct_0(c3) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c3))) | m1_struct_0(f1(c3,A),c3,A). [resolve(64,e,60,a)].
% 0.44/1.06 65 v3_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) | -l2_lattices(A). [resolve(54,b,50,b)].
% 0.44/1.06 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(65,f,60,a)].
% 0.44/1.06 66 v3_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) | -l2_lattices(A). [resolve(55,b,50,b)].
% 0.44/1.06 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(66,f,60,a)].
% 0.44/1.06 67 v3_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)) | -l2_lattices(A). [resolve(56,b,50,b)].
% 0.44/1.06 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(67,f,60,a)].
% 0.44/1.06 68 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.44/1.06 69 l3_lattices(c4) # label(existence_l3_lattices) # label(axiom). [clausify(19)].
% 0.44/1.06 70 l3_lattices(c8) # label(t24_filter_2) # label(negated_conjecture). [clausify(43)].
% 0.44/1.06 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v4_lattices(c4). [resolve(68,a,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v4_lattices(c8). [resolve(68,a,70,a)].
% 0.44/1.06 71 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.44/1.06 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v5_lattices(c4). [resolve(71,a,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v5_lattices(c8). [resolve(71,a,70,a)].
% 0.44/1.06 72 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.44/1.06 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v6_lattices(c4). [resolve(72,a,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v6_lattices(c8). [resolve(72,a,70,a)].
% 0.44/1.06 73 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.44/1.06 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v7_lattices(c4). [resolve(73,a,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v7_lattices(c8). [resolve(73,a,70,a)].
% 0.44/1.06 74 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v8_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.44/1.06 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v8_lattices(c4). [resolve(74,a,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v8_lattices(c8). [resolve(74,a,70,a)].
% 0.44/1.06 75 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v9_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.44/1.06 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v9_lattices(c4). [resolve(75,a,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v9_lattices(c8). [resolve(75,a,70,a)].
% 0.44/1.06 76 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(f5(A)) # label(rc1_lattice4) # label(axiom). [clausify(26)].
% 0.44/1.06 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -v1_xboole_0(f5(c4)). [resolve(76,c,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -v1_xboole_0(f5(c8)). [resolve(76,c,70,a)].
% 0.44/1.06 77 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_filter_2(f3(A),A) # label(existence_m2_filter_2) # label(axiom). [clausify(22)].
% 0.44/1.06 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m2_filter_2(f3(c4),c4). [resolve(77,c,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v10_lattices(c8) | m2_filter_2(f3(c8),c8). [resolve(77,c,70,a)].
% 0.44/1.06 78 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f4(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(23)].
% 0.44/1.06 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m2_lattice4(f4(c4),c4). [resolve(78,c,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v10_lattices(c8) | m2_lattice4(f4(c8),c8). [resolve(78,c,70,a)].
% 0.44/1.06 79 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f5(A),A) # label(rc1_lattice4) # label(axiom). [clausify(26)].
% 0.44/1.06 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m2_lattice4(f5(c4),c4). [resolve(79,c,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v10_lattices(c8) | m2_lattice4(f5(c8),c8). [resolve(79,c,70,a)].
% 0.44/1.06 80 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | -v1_xboole_0(B) # label(dt_m2_filter_2) # label(axiom). [clausify(13)].
% 0.44/1.06 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m2_filter_2(A,c4) | -v1_xboole_0(A). [resolve(80,c,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m2_filter_2(A,c8) | -v1_xboole_0(A). [resolve(80,c,70,a)].
% 0.44/1.06 81 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | m2_lattice4(B,A) # label(dt_m2_filter_2) # label(axiom). [clausify(13)].
% 0.44/1.06 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m2_filter_2(A,c4) | m2_lattice4(A,c4). [resolve(81,c,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m2_filter_2(A,c8) | m2_lattice4(A,c8). [resolve(81,c,70,a)].
% 0.44/1.06 82 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(14)].
% 0.44/1.06 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m2_lattice4(A,c4) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))). [resolve(82,c,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m2_lattice4(A,c8) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))). [resolve(82,c,70,a)].
% 0.44/1.06 83 -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(4)].
% 0.44/1.06 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(83,a,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v4_lattices(c8) | -v5_lattices(c8) | -v6_lattices(c8) | -v7_lattices(c8) | -v8_lattices(c8) | -v9_lattices(c8) | v10_lattices(c8). [resolve(83,a,70,a)].
% 0.44/1.06 84 -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(58,b,47,b)].
% 0.44/1.06 Derived: v3_struct_0(c4) | -v1_xboole_0(u1_struct_0(c4)). [resolve(84,a,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v1_xboole_0(u1_struct_0(c8)). [resolve(84,a,70,a)].
% 0.44/1.06 85 -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(f8(A)). [resolve(58,b,51,b)].
% 0.44/1.06 Derived: v3_struct_0(c4) | -v1_xboole_0(f8(c4)). [resolve(85,a,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | -v1_xboole_0(f8(c8)). [resolve(85,a,70,a)].
% 0.44/1.06 86 -l3_lattices(A) | v3_struct_0(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(58,b,52,b)].
% 0.44/1.06 Derived: v3_struct_0(c4) | m1_subset_1(f8(c4),k1_zfmisc_1(u1_struct_0(c4))). [resolve(86,a,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | m1_subset_1(f8(c8),k1_zfmisc_1(u1_struct_0(c8))). [resolve(86,a,70,a)].
% 0.44/1.06 87 -l3_lattices(A) | v3_struct_0(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_struct_0(f1(A,B),A,B). [resolve(58,b,53,b)].
% 0.44/1.06 Derived: v3_struct_0(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | m1_struct_0(f1(c4,A),c4,A). [resolve(87,a,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | m1_struct_0(f1(c8,A),c8,A). [resolve(87,a,70,a)].
% 0.44/1.06 88 -l3_lattices(A) | v3_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). [resolve(58,b,54,b)].
% 0.44/1.06 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(88,a,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m1_struct_0(B,c8,A) | m1_subset_1(B,A). [resolve(88,a,70,a)].
% 0.44/1.06 89 -l3_lattices(A) | v3_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). [resolve(58,b,55,b)].
% 0.44/1.06 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(89,a,69,a)].
% 0.44/1.06 Derived: v3_struct_0(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | m1_struct_0(B,c8,A) | -m1_subset_1(B,A). [resolve(89,a,70,a)].
% 0.44/1.06 90 -l3_lattices(A) | v3_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)). [resolve(58,b,56,b)].
% 0.78/1.09 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(90,a,69,a)].
% 0.78/1.09 Derived: v3_struct_0(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m1_struct_0(B,c8,A) | m1_subset_1(B,u1_struct_0(c8)). [resolve(90,a,70,a)].
% 0.78/1.09 91 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(37)].
% 0.78/1.09 92 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(34)].
% 0.78/1.09 93 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(37)].
% 0.78/1.09 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(91,b,92,a)].
% 0.78/1.09
% 0.78/1.09 ============================== end predicate elimination =============
% 0.78/1.09
% 0.78/1.09 Auto_denials: (non-Horn, no changes).
% 0.78/1.09
% 0.78/1.09 Term ordering decisions:
% 0.78/1.09 Function symbol KB weights: k1_xboole_0=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. f1=1. u1_struct_0=1. k1_zfmisc_1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f7=1. f8=1.
% 0.78/1.09
% 0.78/1.09 ============================== end of process initial clauses ========
% 0.78/1.09
% 0.78/1.09 ============================== CLAUSES FOR SEARCH ====================
% 0.78/1.09
% 0.78/1.09 ============================== end of clauses for search =============
% 0.78/1.09
% 0.78/1.09 ============================== SEARCH ================================
% 0.78/1.09
% 0.78/1.09 % Starting search at 0.03 seconds.
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% 0.78/1.09 ============================== PROOF =================================
% 0.78/1.09 % SZS status Theorem
% 0.78/1.09 % SZS output start Refutation
% 0.78/1.09
% 0.78/1.09 % Proof 1 at 0.05 (+ 0.01) seconds.
% 0.78/1.09 % Length of proof is 47.
% 0.78/1.09 % Level of proof is 9.
% 0.78/1.09 % Maximum clause weight is 15.000.
% 0.78/1.09 % Given clauses 138.
% 0.78/1.09
% 0.78/1.09 7 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.09 10 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.09 11 (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].
% 0.78/1.09 13 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.78/1.09 14 (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].
% 0.78/1.09 20 (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].
% 0.78/1.09 33 (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].
% 0.78/1.09 36 (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].
% 0.78/1.09 43 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (exists C (m1_subset_1(C,u1_struct_0(A)) & r2_hidden(C,B))))))) # label(t24_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.78/1.09 44 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(7)].
% 0.78/1.09 46 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(10)].
% 0.78/1.09 53 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(f1(A,B),A,B) # label(existence_m1_struct_0) # label(axiom). [clausify(20)].
% 0.78/1.09 54 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(33)].
% 0.78/1.09 56 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(11)].
% 0.78/1.09 58 -l3_lattices(A) | l1_struct_0(A). [resolve(46,b,44,a)].
% 0.78/1.09 70 l3_lattices(c8) # label(t24_filter_2) # label(negated_conjecture). [clausify(43)].
% 0.78/1.09 80 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | -v1_xboole_0(B) # label(dt_m2_filter_2) # label(axiom). [clausify(13)].
% 0.78/1.09 81 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | m2_lattice4(B,A) # label(dt_m2_filter_2) # label(axiom). [clausify(13)].
% 0.78/1.09 82 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(14)].
% 0.78/1.09 87 -l3_lattices(A) | v3_struct_0(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_struct_0(f1(A,B),A,B). [resolve(58,b,53,b)].
% 0.78/1.09 88 -l3_lattices(A) | v3_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). [resolve(58,b,54,b)].
% 0.78/1.09 90 -l3_lattices(A) | v3_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)). [resolve(58,b,56,b)].
% 0.78/1.09 96 v10_lattices(c8) # label(t24_filter_2) # label(negated_conjecture). [clausify(43)].
% 0.78/1.09 98 m2_filter_2(c9,c8) # label(t24_filter_2) # label(negated_conjecture). [clausify(43)].
% 0.78/1.09 104 -v3_struct_0(c8) # label(t24_filter_2) # label(negated_conjecture). [clausify(43)].
% 0.78/1.09 108 -m1_subset_1(A,u1_struct_0(c8)) | -r2_hidden(A,c9) # label(t24_filter_2) # label(negated_conjecture). [clausify(43)].
% 0.78/1.09 114 -m1_subset_1(A,B) | v1_xboole_0(B) | r2_hidden(A,B) # label(t2_subset) # label(axiom). [clausify(36)].
% 0.78/1.09 182 v3_struct_0(c8) | -v10_lattices(c8) | -m2_filter_2(A,c8) | -v1_xboole_0(A). [resolve(80,c,70,a)].
% 0.78/1.09 183 -m2_filter_2(A,c8) | -v1_xboole_0(A). [copy(182),unit_del(a,104),unit_del(b,96)].
% 0.78/1.09 185 v3_struct_0(c8) | -v10_lattices(c8) | -m2_filter_2(A,c8) | m2_lattice4(A,c8). [resolve(81,c,70,a)].
% 0.78/1.09 186 -m2_filter_2(A,c8) | m2_lattice4(A,c8). [copy(185),unit_del(a,104),unit_del(b,96)].
% 0.78/1.09 188 v3_struct_0(c8) | -v10_lattices(c8) | -m2_lattice4(A,c8) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))). [resolve(82,c,70,a)].
% 0.78/1.09 189 -m2_lattice4(A,c8) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))). [copy(188),unit_del(a,104),unit_del(b,96)].
% 0.78/1.09 202 v3_struct_0(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | m1_struct_0(f1(c8,A),c8,A). [resolve(87,a,70,a)].
% 0.78/1.09 203 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | m1_struct_0(f1(c8,A),c8,A). [copy(202),unit_del(a,104)].
% 0.78/1.09 205 v3_struct_0(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m1_struct_0(B,c8,A) | m1_subset_1(B,A). [resolve(88,a,70,a)].
% 0.78/1.09 206 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m1_struct_0(B,c8,A) | m1_subset_1(B,A). [copy(205),unit_del(a,104)].
% 0.78/1.09 211 v3_struct_0(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m1_struct_0(B,c8,A) | m1_subset_1(B,u1_struct_0(c8)). [resolve(90,a,70,a)].
% 0.78/1.09 212 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m1_struct_0(B,c8,A) | m1_subset_1(B,u1_struct_0(c8)). [copy(211),unit_del(a,104)].
% 0.78/1.09 291 -v1_xboole_0(c9). [resolve(183,a,98,a)].
% 0.78/1.09 294 m2_lattice4(c9,c8). [resolve(186,a,98,a)].
% 0.78/1.09 369 m1_subset_1(c9,k1_zfmisc_1(u1_struct_0(c8))). [resolve(294,a,189,a)].
% 0.78/1.09 392 m1_struct_0(f1(c8,c9),c8,c9). [resolve(369,a,203,b),unit_del(a,291)].
% 0.78/1.09 480 m1_subset_1(f1(c8,c9),u1_struct_0(c8)). [resolve(392,a,212,c),unit_del(a,291),unit_del(b,369)].
% 0.78/1.09 481 m1_subset_1(f1(c8,c9),c9). [resolve(392,a,206,c),unit_del(a,291),unit_del(b,369)].
% 0.78/1.09 487 r2_hidden(f1(c8,c9),c9). [resolve(481,a,114,a),unit_del(a,291)].
% 0.78/1.09 490 $F. [resolve(487,a,108,b),unit_del(a,480)].
% 0.78/1.09
% 0.78/1.09 % SZS output end Refutation
% 0.78/1.09 ============================== end of proof ==========================
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% 0.78/1.09 ============================== STATISTICS ============================
% 0.78/1.09
% 0.78/1.09 Given=138. Generated=495. Kept=368. proofs=1.
% 0.78/1.09 Usable=133. Sos=211. Demods=3. Limbo=2, Disabled=166. Hints=0.
% 0.78/1.09 Megabytes=0.49.
% 0.78/1.09 User_CPU=0.05, System_CPU=0.01, Wall_clock=0.
% 0.78/1.09
% 0.78/1.09 ============================== end of statistics =====================
% 0.78/1.09
% 0.78/1.09 ============================== end of search =========================
% 0.78/1.09
% 0.78/1.09 THEOREM PROVED
% 0.78/1.09 % SZS status Theorem
% 0.78/1.09
% 0.78/1.09 Exiting with 1 proof.
% 0.78/1.09
% 0.78/1.09 Process 16497 exit (max_proofs) Wed Jun 29 14:27:01 2022
% 0.78/1.09 Prover9 interrupted
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