TSTP Solution File: LAT310+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT310+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.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 06:27:18 EDT 2022
% Result : Theorem 131.82s 132.10s
% Output : Refutation 131.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT310+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n018.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 02:43:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.67/0.93 ============================== Prover9 ===============================
% 0.67/0.93 Prover9 (32) version 2009-11A, November 2009.
% 0.67/0.93 Process 2435 was started by sandbox on n018.cluster.edu,
% 0.67/0.93 Wed Jun 29 02:43:15 2022
% 0.67/0.93 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2282_n018.cluster.edu".
% 0.67/0.93 ============================== end of head ===========================
% 0.67/0.93
% 0.67/0.93 ============================== INPUT =================================
% 0.67/0.93
% 0.67/0.93 % Reading from file /tmp/Prover9_2282_n018.cluster.edu
% 0.67/0.93
% 0.67/0.93 set(prolog_style_variables).
% 0.67/0.93 set(auto2).
% 0.67/0.93 % set(auto2) -> set(auto).
% 0.67/0.93 % set(auto) -> set(auto_inference).
% 0.67/0.93 % set(auto) -> set(auto_setup).
% 0.67/0.93 % set(auto_setup) -> set(predicate_elim).
% 0.67/0.93 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.67/0.93 % set(auto) -> set(auto_limits).
% 0.67/0.93 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.67/0.93 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.67/0.93 % set(auto) -> set(auto_denials).
% 0.67/0.93 % set(auto) -> set(auto_process).
% 0.67/0.93 % set(auto2) -> assign(new_constants, 1).
% 0.67/0.93 % set(auto2) -> assign(fold_denial_max, 3).
% 0.67/0.93 % set(auto2) -> assign(max_weight, "200.000").
% 0.67/0.93 % set(auto2) -> assign(max_hours, 1).
% 0.67/0.93 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.67/0.93 % set(auto2) -> assign(max_seconds, 0).
% 0.67/0.93 % set(auto2) -> assign(max_minutes, 5).
% 0.67/0.93 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.67/0.93 % set(auto2) -> set(sort_initial_sos).
% 0.67/0.93 % set(auto2) -> assign(sos_limit, -1).
% 0.67/0.93 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.67/0.93 % set(auto2) -> assign(max_megs, 400).
% 0.67/0.93 % set(auto2) -> assign(stats, some).
% 0.67/0.93 % set(auto2) -> clear(echo_input).
% 0.67/0.93 % set(auto2) -> set(quiet).
% 0.67/0.93 % set(auto2) -> clear(print_initial_clauses).
% 0.67/0.93 % set(auto2) -> clear(print_given).
% 0.67/0.93 assign(lrs_ticks,-1).
% 0.67/0.93 assign(sos_limit,10000).
% 0.67/0.93 assign(order,kbo).
% 0.67/0.93 set(lex_order_vars).
% 0.67/0.93 clear(print_given).
% 0.67/0.93
% 0.67/0.93 % formulas(sos). % not echoed (44 formulas)
% 0.67/0.93
% 0.67/0.93 ============================== end of input ==========================
% 0.67/0.93
% 0.67/0.93 % From the command line: assign(max_seconds, 300).
% 0.67/0.93
% 0.67/0.93 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.67/0.93
% 0.67/0.93 % Formulas that are not ordinary clauses:
% 0.67/0.93 1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 2 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 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].
% 0.67/0.93 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].
% 0.67/0.93 5 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m2_filter_2(C,A) -> (C = k19_filter_2(A,B) <-> r1_tarski(B,C) & (all D (m2_filter_2(D,A) -> (r1_tarski(B,D) -> r1_tarski(C,D))))))))))) # label(d11_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 6 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m2_filter_2(k19_filter_2(A,B),A))) # label(dt_k19_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 7 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 8 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 9 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 10 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 11 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 12 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 13 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 14 (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].
% 0.67/0.93 15 (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].
% 0.67/0.93 16 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 17 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 18 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 19 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 20 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 21 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 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].
% 0.67/0.93 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].
% 0.67/0.93 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].
% 0.67/0.93 25 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 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].
% 0.67/0.93 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].
% 0.67/0.93 28 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 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].
% 0.67/0.93 30 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 31 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 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].
% 0.67/0.93 33 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 34 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 35 (all A all B all C (r1_tarski(A,B) & r1_tarski(B,C) -> r1_tarski(A,C))) # label(t1_xboole_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 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].
% 0.67/0.93 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].
% 0.67/0.93 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].
% 0.67/0.93 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].
% 0.67/0.93 40 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 41 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 42 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.93 43 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,D) -> r1_tarski(k19_filter_2(A,C),k19_filter_2(A,D))) & r1_tarski(k19_filter_2(A,k19_filter_2(A,B)),k19_filter_2(A,B)))))))))) # label(t39_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.67/0.93
% 0.67/0.93 ============================== end of process non-clausal formulas ===
% 0.67/0.93
% 0.67/0.93 ============================== PROCESS INITIAL CLAUSES ===============
% 0.67/0.93
% 0.67/0.93 ============================== PREDICATE ELIMINATION =================
% 0.67/0.93 44 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(9)].
% 0.67/0.93 45 l1_lattices(c1) # label(existence_l1_lattices) # label(axiom). [clausify(17)].
% 0.67/0.93 Derived: l1_struct_0(c1). [resolve(44,a,45,a)].
% 0.67/0.93 46 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(12)].
% 0.67/0.93 Derived: -l3_lattices(A) | l1_struct_0(A). [resolve(46,b,44,a)].
% 0.67/0.93 47 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(24)].
% 0.67/0.93 48 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(18)].
% 0.67/0.93 49 l1_struct_0(c7) # label(rc3_struct_0) # label(axiom). [clausify(31)].
% 0.67/0.93 50 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(11)].
% 0.67/0.93 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(47,b,48,a)].
% 0.67/0.93 Derived: v3_struct_0(c7) | -v1_xboole_0(u1_struct_0(c7)). [resolve(47,b,49,a)].
% 0.67/0.93 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(47,b,50,b)].
% 0.67/0.93 51 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f8(A)) # label(rc5_struct_0) # label(axiom). [clausify(32)].
% 0.67/0.93 Derived: v3_struct_0(c2) | -v1_xboole_0(f8(c2)). [resolve(51,b,48,a)].
% 0.67/0.93 Derived: v3_struct_0(c7) | -v1_xboole_0(f8(c7)). [resolve(51,b,49,a)].
% 0.67/0.93 Derived: v3_struct_0(A) | -v1_xboole_0(f8(A)) | -l2_lattices(A). [resolve(51,b,50,b)].
% 0.67/0.93 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)].
% 0.67/0.93 Derived: v3_struct_0(c2) | m1_subset_1(f8(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(52,b,48,a)].
% 0.67/0.93 Derived: v3_struct_0(c7) | m1_subset_1(f8(c7),k1_zfmisc_1(u1_struct_0(c7))). [resolve(52,b,49,a)].
% 0.67/0.93 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)].
% 0.67/0.93 53 l1_struct_0(c1). [resolve(44,a,45,a)].
% 0.67/0.93 Derived: v3_struct_0(c1) | -v1_xboole_0(u1_struct_0(c1)). [resolve(53,a,47,b)].
% 0.67/0.93 Derived: v3_struct_0(c1) | -v1_xboole_0(f8(c1)). [resolve(53,a,51,b)].
% 0.67/0.93 Derived: v3_struct_0(c1) | m1_subset_1(f8(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(53,a,52,b)].
% 0.67/0.93 54 -l3_lattices(A) | l1_struct_0(A). [resolve(46,b,44,a)].
% 0.67/0.93 Derived: -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(54,b,47,b)].
% 0.67/0.93 Derived: -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(f8(A)). [resolve(54,b,51,b)].
% 0.67/0.93 Derived: -l3_lattices(A) | v3_struct_0(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(54,b,52,b)].
% 0.67/0.93 55 v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(47,b,50,b)].
% 0.67/0.93 56 l2_lattices(c3) # label(existence_l2_lattices) # label(axiom). [clausify(19)].
% 0.67/0.93 57 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(12)].
% 0.67/0.93 Derived: v3_struct_0(c3) | -v1_xboole_0(u1_struct_0(c3)). [resolve(55,c,56,a)].
% 0.67/0.93 58 v3_struct_0(A) | -v1_xboole_0(f8(A)) | -l2_lattices(A). [resolve(51,b,50,b)].
% 0.67/0.93 Derived: v3_struct_0(c3) | -v1_xboole_0(f8(c3)). [resolve(58,c,56,a)].
% 0.67/0.93 59 v3_struct_0(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(52,b,50,b)].
% 0.67/0.93 Derived: v3_struct_0(c3) | m1_subset_1(f8(c3),k1_zfmisc_1(u1_struct_0(c3))). [resolve(59,c,56,a)].
% 0.67/0.93 60 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.67/0.93 61 l3_lattices(c4) # label(existence_l3_lattices) # label(axiom). [clausify(20)].
% 0.67/0.93 62 l3_lattices(c8) # label(t39_filter_2) # label(negated_conjecture). [clausify(43)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v4_lattices(c4). [resolve(60,a,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v4_lattices(c8). [resolve(60,a,62,a)].
% 0.67/0.93 63 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v5_lattices(c4). [resolve(63,a,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v5_lattices(c8). [resolve(63,a,62,a)].
% 0.67/0.93 64 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v6_lattices(c4). [resolve(64,a,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v6_lattices(c8). [resolve(64,a,62,a)].
% 0.67/0.93 65 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v7_lattices(c4). [resolve(65,a,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v7_lattices(c8). [resolve(65,a,62,a)].
% 0.67/0.93 66 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v8_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v8_lattices(c4). [resolve(66,a,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v8_lattices(c8). [resolve(66,a,62,a)].
% 0.67/0.93 67 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v9_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v9_lattices(c4). [resolve(67,a,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v9_lattices(c8). [resolve(67,a,62,a)].
% 0.67/0.93 68 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(f5(A)) # label(rc1_lattice4) # label(axiom). [clausify(26)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -v1_xboole_0(f5(c4)). [resolve(68,c,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -v1_xboole_0(f5(c8)). [resolve(68,c,62,a)].
% 0.67/0.93 69 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)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m2_filter_2(f3(c4),c4). [resolve(69,c,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | m2_filter_2(f3(c8),c8). [resolve(69,c,62,a)].
% 0.67/0.93 70 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f4(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(23)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m2_lattice4(f4(c4),c4). [resolve(70,c,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | m2_lattice4(f4(c8),c8). [resolve(70,c,62,a)].
% 0.67/0.93 71 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f5(A),A) # label(rc1_lattice4) # label(axiom). [clausify(26)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m2_lattice4(f5(c4),c4). [resolve(71,c,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | m2_lattice4(f5(c8),c8). [resolve(71,c,62,a)].
% 0.67/0.93 72 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(14)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m2_filter_2(A,c4) | -v1_xboole_0(A). [resolve(72,c,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m2_filter_2(A,c8) | -v1_xboole_0(A). [resolve(72,c,62,a)].
% 0.67/0.93 73 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(14)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m2_filter_2(A,c4) | m2_lattice4(A,c4). [resolve(73,c,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m2_filter_2(A,c8) | m2_lattice4(A,c8). [resolve(73,c,62,a)].
% 0.67/0.93 74 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(15)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m2_lattice4(A,c4) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))). [resolve(74,c,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m2_lattice4(A,c8) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))). [resolve(74,c,62,a)].
% 0.67/0.93 75 -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)].
% 0.67/0.93 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(75,a,61,a)].
% 0.67/0.93 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(75,a,62,a)].
% 0.67/0.93 76 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m2_filter_2(k19_filter_2(A,B),A) # label(dt_k19_filter_2) # label(axiom). [clausify(6)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | m2_filter_2(k19_filter_2(c4,A),c4). [resolve(76,c,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | m2_filter_2(k19_filter_2(c8,A),c8). [resolve(76,c,62,a)].
% 0.67/0.93 77 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m2_filter_2(C,A) | k19_filter_2(A,B) != C | r1_tarski(B,C) # label(d11_filter_2) # label(axiom). [clausify(5)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | -m2_filter_2(B,c4) | k19_filter_2(c4,A) != B | r1_tarski(A,B). [resolve(77,c,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m2_filter_2(B,c8) | k19_filter_2(c8,A) != B | r1_tarski(A,B). [resolve(77,c,62,a)].
% 0.67/0.93 78 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m2_filter_2(C,A) | k19_filter_2(A,B) != C | -m2_filter_2(D,A) | -r1_tarski(B,D) | r1_tarski(C,D) # label(d11_filter_2) # label(axiom). [clausify(5)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | -m2_filter_2(B,c4) | k19_filter_2(c4,A) != B | -m2_filter_2(C,c4) | -r1_tarski(A,C) | r1_tarski(B,C). [resolve(78,c,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m2_filter_2(B,c8) | k19_filter_2(c8,A) != B | -m2_filter_2(C,c8) | -r1_tarski(A,C) | r1_tarski(B,C). [resolve(78,c,62,a)].
% 0.67/0.93 79 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m2_filter_2(C,A) | k19_filter_2(A,B) = C | -r1_tarski(B,C) | m2_filter_2(f1(A,B,C),A) # label(d11_filter_2) # label(axiom). [clausify(5)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | -m2_filter_2(B,c4) | k19_filter_2(c4,A) = B | -r1_tarski(A,B) | m2_filter_2(f1(c4,A,B),c4). [resolve(79,c,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m2_filter_2(B,c8) | k19_filter_2(c8,A) = B | -r1_tarski(A,B) | m2_filter_2(f1(c8,A,B),c8). [resolve(79,c,62,a)].
% 0.67/0.93 80 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m2_filter_2(C,A) | k19_filter_2(A,B) = C | -r1_tarski(B,C) | r1_tarski(B,f1(A,B,C)) # label(d11_filter_2) # label(axiom). [clausify(5)].
% 0.67/0.93 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | -m2_filter_2(B,c4) | k19_filter_2(c4,A) = B | -r1_tarski(A,B) | r1_tarski(A,f1(c4,A,B)). [resolve(80,c,61,a)].
% 0.67/0.93 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m2_filter_2(B,c8) | k19_filter_2(c8,A) = B | -r1_tarski(A,B) | r1_tarski(A,f1(c8,A,B)). [resolve(80,c,62,a)].
% 131.82/132.10 81 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m2_filter_2(C,A) | k19_filter_2(A,B) = C | -r1_tarski(B,C) | -r1_tarski(C,f1(A,B,C)) # label(d11_filter_2) # label(axiom). [clausify(5)].
% 131.82/132.10 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | -m2_filter_2(B,c4) | k19_filter_2(c4,A) = B | -r1_tarski(A,B) | -r1_tarski(B,f1(c4,A,B)). [resolve(81,c,61,a)].
% 131.82/132.10 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m2_filter_2(B,c8) | k19_filter_2(c8,A) = B | -r1_tarski(A,B) | -r1_tarski(B,f1(c8,A,B)). [resolve(81,c,62,a)].
% 131.82/132.10 82 -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(54,b,47,b)].
% 131.82/132.10 Derived: v3_struct_0(c4) | -v1_xboole_0(u1_struct_0(c4)). [resolve(82,a,61,a)].
% 131.82/132.10 Derived: v3_struct_0(c8) | -v1_xboole_0(u1_struct_0(c8)). [resolve(82,a,62,a)].
% 131.82/132.10 83 -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(f8(A)). [resolve(54,b,51,b)].
% 131.82/132.10 Derived: v3_struct_0(c4) | -v1_xboole_0(f8(c4)). [resolve(83,a,61,a)].
% 131.82/132.10 Derived: v3_struct_0(c8) | -v1_xboole_0(f8(c8)). [resolve(83,a,62,a)].
% 131.82/132.10 84 -l3_lattices(A) | v3_struct_0(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(54,b,52,b)].
% 131.82/132.10 Derived: v3_struct_0(c4) | m1_subset_1(f8(c4),k1_zfmisc_1(u1_struct_0(c4))). [resolve(84,a,61,a)].
% 131.82/132.10 Derived: v3_struct_0(c8) | m1_subset_1(f8(c8),k1_zfmisc_1(u1_struct_0(c8))). [resolve(84,a,62,a)].
% 131.82/132.10
% 131.82/132.10 ============================== end predicate elimination =============
% 131.82/132.10
% 131.82/132.10 Auto_denials: (non-Horn, no changes).
% 131.82/132.10
% 131.82/132.10 Term ordering decisions:
% 131.82/132.10 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. c10=1. c11=1. k19_filter_2=1. u1_struct_0=1. k1_zfmisc_1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f7=1. f8=1. f1=1.
% 131.82/132.10
% 131.82/132.10 ============================== end of process initial clauses ========
% 131.82/132.10
% 131.82/132.10 ============================== CLAUSES FOR SEARCH ====================
% 131.82/132.10
% 131.82/132.10 ============================== end of clauses for search =============
% 131.82/132.10
% 131.82/132.10 ============================== SEARCH ================================
% 131.82/132.10
% 131.82/132.10 % Starting search at 0.03 seconds.
% 131.82/132.10
% 131.82/132.10 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 388 (0.00 of 0.42 sec).
% 131.82/132.10
% 131.82/132.10 Low Water (keep): wt=44.000, iters=3646
% 131.82/132.10
% 131.82/132.10 Low Water (keep): wt=36.000, iters=3468
% 131.82/132.10
% 131.82/132.10 Low Water (keep): wt=34.000, iters=3386
% 131.82/132.10
% 131.82/132.10 Low Water (keep): wt=32.000, iters=3370
% 131.82/132.10
% 131.82/132.10 Low Water (keep): wt=30.000, iters=3367
% 131.82/132.10
% 131.82/132.10 Low Water (keep): wt=29.000, iters=3415
% 131.82/132.10
% 131.82/132.10 Low Water (keep): wt=28.000, iters=3344
% 131.82/132.10
% 131.82/132.10 Low Water (keep): wt=13.000, iters=3503
% 131.82/132.10
% 131.82/132.10 Low Water (keep): wt=12.000, iters=3380
% 131.82/132.10
% 131.82/132.10 Low Water (keep): wt=11.000, iters=3341
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=5998, wt=88.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=5997, wt=80.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=5999, wt=78.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=6061, wt=77.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=4926, wt=76.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=6060, wt=72.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=6001, wt=70.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=6062, wt=69.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=6000, wt=68.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=5042, wt=66.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=6064, wt=64.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=4947, wt=62.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=6063, wt=61.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=5580, wt=60.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=5508, wt=59.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=6002, wt=58.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=4952, wt=55.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=5041, wt=54.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=6065, wt=53.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=5581, wt=52.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=4953, wt=48.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=6245, wt=43.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=6257, wt=42.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=6254, wt=41.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=9529, wt=17.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=9533, wt=16.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=9534, wt=15.000
% 131.82/132.10
% 131.82/132.10 Low Water (displace): id=10342, wt=14.000
% 131.82/132.10
% 131.82/132.10 ============================== PROOF =================================
% 131.82/132.10 % SZS status Theorem
% 131.82/132.10 % SZS output start Refutation
% 131.82/132.10
% 131.82/132.10 % Proof 1 at 131.09 (+ 0.07) seconds.
% 131.82/132.10 % Length of proof is 62.
% 131.82/132.10 % Level of proof is 11.
% 131.82/132.10 % Maximum clause weight is 29.000.
% 131.82/132.10 % Given clauses 7601.
% 131.82/132.10
% 131.82/132.10 5 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (m2_filter_2(C,A) -> (C = k19_filter_2(A,B) <-> r1_tarski(B,C) & (all D (m2_filter_2(D,A) -> (r1_tarski(B,D) -> r1_tarski(C,D))))))))))) # label(d11_filter_2) # label(axiom) # label(non_clause). [assumption].
% 131.82/132.10 6 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m2_filter_2(k19_filter_2(A,B),A))) # label(dt_k19_filter_2) # label(axiom) # label(non_clause). [assumption].
% 131.82/132.10 14 (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].
% 131.82/132.10 15 (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].
% 131.82/132.10 33 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 131.82/132.10 35 (all A all B all C (r1_tarski(A,B) & r1_tarski(B,C) -> r1_tarski(A,C))) # label(t1_xboole_1) # label(axiom) # label(non_clause). [assumption].
% 131.82/132.10 43 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (all D (-v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (r1_tarski(C,D) -> r1_tarski(k19_filter_2(A,C),k19_filter_2(A,D))) & r1_tarski(k19_filter_2(A,k19_filter_2(A,B)),k19_filter_2(A,B)))))))))) # label(t39_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 131.82/132.10 62 l3_lattices(c8) # label(t39_filter_2) # label(negated_conjecture). [clausify(43)].
% 131.82/132.10 72 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(14)].
% 131.82/132.10 73 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(14)].
% 131.82/132.10 74 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(15)].
% 131.82/132.10 76 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m2_filter_2(k19_filter_2(A,B),A) # label(dt_k19_filter_2) # label(axiom). [clausify(6)].
% 131.82/132.10 77 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m2_filter_2(C,A) | k19_filter_2(A,B) != C | r1_tarski(B,C) # label(d11_filter_2) # label(axiom). [clausify(5)].
% 131.82/132.10 78 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m2_filter_2(C,A) | k19_filter_2(A,B) != C | -m2_filter_2(D,A) | -r1_tarski(B,D) | r1_tarski(C,D) # label(d11_filter_2) # label(axiom). [clausify(5)].
% 131.82/132.10 80 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m2_filter_2(C,A) | k19_filter_2(A,B) = C | -r1_tarski(B,C) | r1_tarski(B,f1(A,B,C)) # label(d11_filter_2) # label(axiom). [clausify(5)].
% 131.82/132.10 81 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m2_filter_2(C,A) | k19_filter_2(A,B) = C | -r1_tarski(B,C) | -r1_tarski(C,f1(A,B,C)) # label(d11_filter_2) # label(axiom). [clausify(5)].
% 131.82/132.10 87 v10_lattices(c8) # label(t39_filter_2) # label(negated_conjecture). [clausify(43)].
% 131.82/132.10 89 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(33)].
% 131.82/132.10 92 m1_subset_1(c9,k1_zfmisc_1(u1_struct_0(c8))) # label(t39_filter_2) # label(negated_conjecture). [clausify(43)].
% 131.82/132.10 93 m1_subset_1(c10,k1_zfmisc_1(u1_struct_0(c8))) # label(t39_filter_2) # label(negated_conjecture). [clausify(43)].
% 131.82/132.10 94 m1_subset_1(c11,k1_zfmisc_1(u1_struct_0(c8))) # label(t39_filter_2) # label(negated_conjecture). [clausify(43)].
% 131.82/132.10 98 -v3_struct_0(c8) # label(t39_filter_2) # label(negated_conjecture). [clausify(43)].
% 131.82/132.10 99 -v1_xboole_0(c9) # label(t39_filter_2) # label(negated_conjecture). [clausify(43)].
% 131.82/132.10 100 -v1_xboole_0(c10) # label(t39_filter_2) # label(negated_conjecture). [clausify(43)].
% 131.82/132.10 101 -v1_xboole_0(c11) # label(t39_filter_2) # label(negated_conjecture). [clausify(43)].
% 131.82/132.10 106 -r1_tarski(k19_filter_2(c8,c10),k19_filter_2(c8,c11)) | -r1_tarski(k19_filter_2(c8,k19_filter_2(c8,c9)),k19_filter_2(c8,c9)) # label(t39_filter_2) # label(negated_conjecture). [clausify(43)].
% 131.82/132.10 114 -r1_tarski(A,B) | -r1_tarski(B,C) | r1_tarski(A,C) # label(t1_xboole_1) # label(axiom). [clausify(35)].
% 131.82/132.10 116 r1_tarski(c10,c11) | -r1_tarski(k19_filter_2(c8,k19_filter_2(c8,c9)),k19_filter_2(c8,c9)) # label(t39_filter_2) # label(negated_conjecture). [clausify(43)].
% 131.82/132.10 163 v3_struct_0(c8) | -v10_lattices(c8) | -m2_filter_2(A,c8) | -v1_xboole_0(A). [resolve(72,c,62,a)].
% 131.82/132.10 164 -m2_filter_2(A,c8) | -v1_xboole_0(A). [copy(163),unit_del(a,98),unit_del(b,87)].
% 131.82/132.10 166 v3_struct_0(c8) | -v10_lattices(c8) | -m2_filter_2(A,c8) | m2_lattice4(A,c8). [resolve(73,c,62,a)].
% 131.82/132.10 167 -m2_filter_2(A,c8) | m2_lattice4(A,c8). [copy(166),unit_del(a,98),unit_del(b,87)].
% 131.82/132.10 169 v3_struct_0(c8) | -v10_lattices(c8) | -m2_lattice4(A,c8) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))). [resolve(74,c,62,a)].
% 131.82/132.10 170 -m2_lattice4(A,c8) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))). [copy(169),unit_del(a,98),unit_del(b,87)].
% 131.82/132.10 174 v3_struct_0(c8) | -v10_lattices(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | m2_filter_2(k19_filter_2(c8,A),c8). [resolve(76,c,62,a)].
% 131.82/132.10 175 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | m2_filter_2(k19_filter_2(c8,A),c8). [copy(174),unit_del(a,98),unit_del(b,87)].
% 131.82/132.10 177 v3_struct_0(c8) | -v10_lattices(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m2_filter_2(B,c8) | k19_filter_2(c8,A) != B | r1_tarski(A,B). [resolve(77,c,62,a)].
% 131.82/132.10 178 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m2_filter_2(B,c8) | k19_filter_2(c8,A) != B | r1_tarski(A,B). [copy(177),unit_del(a,98),unit_del(b,87)].
% 131.82/132.10 180 v3_struct_0(c8) | -v10_lattices(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m2_filter_2(B,c8) | k19_filter_2(c8,A) != B | -m2_filter_2(C,c8) | -r1_tarski(A,C) | r1_tarski(B,C). [resolve(78,c,62,a)].
% 131.82/132.10 181 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m2_filter_2(B,c8) | k19_filter_2(c8,A) != B | -m2_filter_2(C,c8) | -r1_tarski(A,C) | r1_tarski(B,C). [copy(180),unit_del(a,98),unit_del(b,87)].
% 131.82/132.10 186 v3_struct_0(c8) | -v10_lattices(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m2_filter_2(B,c8) | k19_filter_2(c8,A) = B | -r1_tarski(A,B) | r1_tarski(A,f1(c8,A,B)). [resolve(80,c,62,a)].
% 131.82/132.10 187 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m2_filter_2(B,c8) | k19_filter_2(c8,A) = B | -r1_tarski(A,B) | r1_tarski(A,f1(c8,A,B)). [copy(186),unit_del(a,98),unit_del(b,87)].
% 131.82/132.10 189 v3_struct_0(c8) | -v10_lattices(c8) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m2_filter_2(B,c8) | k19_filter_2(c8,A) = B | -r1_tarski(A,B) | -r1_tarski(B,f1(c8,A,B)). [resolve(81,c,62,a)].
% 131.82/132.10 190 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | -m2_filter_2(B,c8) | k19_filter_2(c8,A) = B | -r1_tarski(A,B) | -r1_tarski(B,f1(c8,A,B)). [copy(189),unit_del(a,98),unit_del(b,87)].
% 131.82/132.10 245 m2_filter_2(k19_filter_2(c8,c11),c8). [resolve(175,b,94,a),unit_del(a,101)].
% 131.82/132.10 246 m2_filter_2(k19_filter_2(c8,c10),c8). [resolve(175,b,93,a),unit_del(a,100)].
% 131.82/132.10 247 m2_filter_2(k19_filter_2(c8,c9),c8). [resolve(175,b,92,a),unit_del(a,99)].
% 131.82/132.10 350 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | k19_filter_2(c8,c11) != k19_filter_2(c8,A) | r1_tarski(A,k19_filter_2(c8,c11)). [resolve(245,a,178,c),flip(c)].
% 131.82/132.10 357 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | k19_filter_2(c8,c10) != k19_filter_2(c8,A) | -m2_filter_2(B,c8) | -r1_tarski(A,B) | r1_tarski(k19_filter_2(c8,c10),B). [resolve(246,a,181,c),flip(c)].
% 131.82/132.10 361 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | k19_filter_2(c8,c9) = k19_filter_2(c8,A) | -r1_tarski(A,k19_filter_2(c8,c9)) | -r1_tarski(k19_filter_2(c8,c9),f1(c8,A,k19_filter_2(c8,c9))). [resolve(247,a,190,c),flip(c)].
% 131.82/132.10 362 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))) | k19_filter_2(c8,c9) = k19_filter_2(c8,A) | -r1_tarski(A,k19_filter_2(c8,c9)) | r1_tarski(A,f1(c8,A,k19_filter_2(c8,c9))). [resolve(247,a,187,c),flip(c)].
% 131.82/132.10 367 m2_lattice4(k19_filter_2(c8,c9),c8). [resolve(247,a,167,a)].
% 131.82/132.10 368 -v1_xboole_0(k19_filter_2(c8,c9)). [resolve(247,a,164,a)].
% 131.82/132.10 414 m1_subset_1(k19_filter_2(c8,c9),k1_zfmisc_1(u1_struct_0(c8))). [resolve(367,a,170,a)].
% 131.82/132.10 1750 r1_tarski(c11,k19_filter_2(c8,c11)). [resolve(350,b,94,a),xx(b),unit_del(a,101)].
% 131.82/132.10 1756 -r1_tarski(A,c11) | r1_tarski(A,k19_filter_2(c8,c11)). [resolve(1750,a,114,b)].
% 131.82/132.10 2226 k19_filter_2(c8,k19_filter_2(c8,c9)) = k19_filter_2(c8,c9) | r1_tarski(k19_filter_2(c8,c9),f1(c8,k19_filter_2(c8,c9),k19_filter_2(c8,c9))). [resolve(362,d,89,a),flip(c),unit_del(a,368),unit_del(b,414)].
% 131.82/132.10 18426 k19_filter_2(c8,k19_filter_2(c8,c9)) = k19_filter_2(c8,c9). [resolve(2226,b,361,e),flip(d),merge(d),unit_del(b,368),unit_del(c,414),unit_del(d,89)].
% 131.82/132.10 18440 r1_tarski(c10,c11). [back_rewrite(116),rewrite([18426(8)]),unit_del(b,89)].
% 131.82/132.10 18441 -r1_tarski(k19_filter_2(c8,c10),k19_filter_2(c8,c11)). [back_rewrite(106),rewrite([18426(12)]),unit_del(b,89)].
% 131.82/132.10 18466 -r1_tarski(c10,k19_filter_2(c8,c11)). [ur(357,a,100,a,b,93,a,c,xx,d,245,a,f,18441,a)].
% 131.82/132.10 18531 $F. [ur(1756,b,18466,a),unit_del(a,18440)].
% 131.82/132.10
% 131.82/132.10 % SZS output end Refutation
% 131.82/132.10 ============================== end of proof ==========================
% 131.82/132.10
% 131.82/132.10 ============================== STATISTICS ============================
% 131.82/132.10
% 131.82/132.10 Given=7601. Generated=108038. Kept=18420. proofs=1.
% 131.82/132.10 Usable=7234. Sos=9192. Demods=8. Limbo=12, Disabled=2114. Hints=0.
% 131.82/132.10 Megabytes=15.45.
% 131.82/132.10 User_CPU=131.09, System_CPU=0.07, Wall_clock=131.
% 131.82/132.10
% 131.82/132.10 ============================== end of statistics =====================
% 131.82/132.10
% 131.82/132.10 ============================== end of search =========================
% 131.82/132.10
% 131.82/132.10 THEOREM PROVED
% 131.82/132.10 % SZS status Theorem
% 131.82/132.10
% 131.82/132.10 Exiting with 1 proof.
% 131.82/132.10
% 131.82/132.10 Process 2435 exit (max_proofs) Wed Jun 29 02:45:26 2022
% 131.82/132.10 Prover9 interrupted
%------------------------------------------------------------------------------