TSTP Solution File: LAT328+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LAT328+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n008.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 : 300s
% DateTime : Wed Jul 27 13:02:49 EDT 2022
% Result : Unknown 112.52s 112.62s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT328+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 08:24:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 2.05/2.20 ----- Otter 3.3f, August 2004 -----
% 2.05/2.20 The process was started by sandbox2 on n008.cluster.edu,
% 2.05/2.20 Wed Jul 27 08:24:38 2022
% 2.05/2.20 The command was "./otter". The process ID is 18663.
% 2.05/2.20
% 2.05/2.20 set(prolog_style_variables).
% 2.05/2.20 set(auto).
% 2.05/2.20 dependent: set(auto1).
% 2.05/2.20 dependent: set(process_input).
% 2.05/2.20 dependent: clear(print_kept).
% 2.05/2.20 dependent: clear(print_new_demod).
% 2.05/2.20 dependent: clear(print_back_demod).
% 2.05/2.20 dependent: clear(print_back_sub).
% 2.05/2.20 dependent: set(control_memory).
% 2.05/2.20 dependent: assign(max_mem, 12000).
% 2.05/2.20 dependent: assign(pick_given_ratio, 4).
% 2.05/2.20 dependent: assign(stats_level, 1).
% 2.05/2.20 dependent: assign(max_seconds, 10800).
% 2.05/2.20 clear(print_given).
% 2.05/2.20
% 2.05/2.20 formula_list(usable).
% 2.05/2.20 all A (A=A).
% 2.05/2.20 -(all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (all B (m1_subset_1(B,u1_struct_0(A))->r1_filter_2(u1_struct_0(A),k22_filter_2(A,B,B),k6_domain_1(u1_struct_0(A),B)))))).
% 2.05/2.20 all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.05/2.20 all A (v1_xboole_0(A)->v1_funct_1(A)).
% 2.05/2.20 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))).
% 2.05/2.20 all A (-v1_realset1(A)-> -v1_xboole_0(A)).
% 2.05/2.20 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))).
% 2.05/2.20 all A (-v1_xboole_0(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))-> (all C (m1_subset_1(C,k1_zfmisc_1(A))-> (r1_filter_2(A,B,C)<-> (all D (m1_subset_1(D,A)-> (r2_hidden(D,B)<->r2_hidden(D,C)))))))))).
% 2.05/2.20 all A B (B=k1_tarski(A)<-> (all C (r2_hidden(C,B)<->C=A))).
% 2.05/2.20 $T.
% 2.05/2.20 $T.
% 2.05/2.20 $T.
% 2.05/2.20 all A B C (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)&m1_subset_1(B,u1_struct_0(A))&m1_subset_1(C,u1_struct_0(A))-> -v1_xboole_0(k22_filter_2(A,B,C))&m2_lattice4(k22_filter_2(A,B,C),A)).
% 2.05/2.20 all A B (-v1_xboole_0(A)&m1_subset_1(B,A)->m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A))).
% 2.05/2.20 all A (l1_lattices(A)->l1_struct_0(A)).
% 2.05/2.20 $T.
% 2.05/2.20 all A (l2_lattices(A)->l1_struct_0(A)).
% 2.05/2.20 all A (l3_lattices(A)->l1_lattices(A)&l2_lattices(A)).
% 2.05/2.20 $T.
% 2.05/2.20 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)))))).
% 2.05/2.20 $T.
% 2.05/2.20 exists A l1_lattices(A).
% 2.05/2.20 exists A l1_struct_0(A).
% 2.05/2.20 exists A l2_lattices(A).
% 2.05/2.20 exists A l3_lattices(A).
% 2.05/2.20 all A exists B m1_subset_1(B,A).
% 2.05/2.20 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (exists B m2_lattice4(B,A))).
% 2.05/2.20 all A (-v3_struct_0(A)&l1_struct_0(A)-> -v1_xboole_0(u1_struct_0(A))).
% 2.05/2.20 all A (-v1_xboole_0(k1_zfmisc_1(A))).
% 2.05/2.20 v1_xboole_0(k1_xboole_0).
% 2.05/2.20 all A (-v1_xboole_0(k1_tarski(A))).
% 2.05/2.20 all A (-v1_xboole_0(k1_tarski(A))&v1_finset_1(k1_tarski(A))&v1_realset1(k1_tarski(A))).
% 2.05/2.20 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (exists B (m2_lattice4(B,A)& -v1_xboole_0(B)))).
% 2.05/2.20 exists A (-v1_xboole_0(A)&v1_realset1(A)).
% 2.05/2.20 all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)))).
% 2.05/2.20 exists A v1_xboole_0(A).
% 2.05/2.20 exists A (-v1_xboole_0(A)& -v1_realset1(A)).
% 2.05/2.20 all A exists B (m1_subset_1(B,k1_zfmisc_1(A))&v1_xboole_0(B)).
% 2.05/2.20 exists A (-v1_xboole_0(A)).
% 2.05/2.20 exists A (l1_struct_0(A)& -v3_struct_0(A)).
% 2.05/2.20 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)))).
% 2.05/2.20 all A B (-v1_xboole_0(A)&m1_subset_1(B,A)->k6_domain_1(A,B)=k1_tarski(B)).
% 2.05/2.20 all A B C (-v1_xboole_0(A)&m1_subset_1(B,k1_zfmisc_1(A))&m1_subset_1(C,k1_zfmisc_1(A))-> (r1_filter_2(A,B,C)<->B=C)).
% 2.05/2.20 all A B C (-v3_struct_0(A)&v6_lattices(A)&v8_lattices(A)&v9_lattices(A)&l3_lattices(A)&m1_subset_1(B,u1_struct_0(A))&m1_subset_1(C,u1_struct_0(A))-> (r3_lattices(A,B,C)<->r1_lattices(A,B,C))).
% 2.05/2.20 all A B C (-v1_xboole_0(A)&m1_subset_1(B,k1_zfmisc_1(A))&m1_subset_1(C,k1_zfmisc_1(A))->r1_filter_2(A,B,B)).
% 2.05/2.20 all A B r1_tarski(A,A).
% 2.05/2.20 all A B C (-v3_struct_0(A)&v6_lattices(A)&v8_lattices(A)&v9_lattices(A)&l3_lattices(A)&m1_subset_1(B,u1_struct_0(A))&m1_subset_1(C,u1_struct_0(A))->r3_lattices(A,B,B)).
% 2.05/2.20 all A B C (-v1_xboole_0(A)&m1_subset_1(B,k1_zfmisc_1(A))&m1_subset_1(C,k1_zfmisc_1(A))-> (r1_filter_2(A,B,C)->r1_filter_2(A,C,B))).
% 2.05/2.20 all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.05/2.20 all A (-v3_struct_0(A)&v4_lattices(A)&l2_lattices(A)-> (all B (m1_subset_1(B,u1_struct_0(A))-> (all C (m1_subset_1(C,u1_struct_0(A))-> (r1_lattices(A,B,C)&r1_lattices(A,C,B)->B=C)))))).
% 2.05/2.20 all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.05/2.20 all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.05/2.20 all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.05/2.20 all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.05/2.20 all A (-v3_struct_0(A)&v10_lattices(A)&l3_lattices(A)-> (all B (m1_subset_1(B,u1_struct_0(A))-> (all C (m1_subset_1(C,u1_struct_0(A))-> (all D (m1_subset_1(D,u1_struct_0(A))-> (r3_lattices(A,B,C)-> (r2_hidden(D,k22_filter_2(A,B,C))<->r3_lattices(A,B,D)&r3_lattices(A,D,C)))))))))).
% 2.05/2.20 all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.05/2.20 all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.05/2.20 all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.05/2.20 end_of_list.
% 2.05/2.20
% 2.05/2.20 -------> usable clausifies to:
% 2.05/2.20
% 2.05/2.20 list(usable).
% 2.05/2.20 0 [] A=A.
% 2.05/2.20 0 [] -v3_struct_0($c2).
% 2.05/2.20 0 [] v10_lattices($c2).
% 2.05/2.20 0 [] l3_lattices($c2).
% 2.05/2.20 0 [] m1_subset_1($c1,u1_struct_0($c2)).
% 2.05/2.20 0 [] -r1_filter_2(u1_struct_0($c2),k22_filter_2($c2,$c1,$c1),k6_domain_1(u1_struct_0($c2),$c1)).
% 2.05/2.20 0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.05/2.20 0 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.05/2.20 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v4_lattices(A).
% 2.05/2.20 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v5_lattices(A).
% 2.05/2.20 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v6_lattices(A).
% 2.05/2.20 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v7_lattices(A).
% 2.05/2.20 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v8_lattices(A).
% 2.05/2.20 0 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v9_lattices(A).
% 2.05/2.20 0 [] v1_realset1(A)| -v1_xboole_0(A).
% 2.05/2.20 0 [] -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).
% 2.05/2.20 0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)| -m1_subset_1(D,A)| -r2_hidden(D,B)|r2_hidden(D,C).
% 2.05/2.20 0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)| -m1_subset_1(D,A)|r2_hidden(D,B)| -r2_hidden(D,C).
% 2.05/2.20 0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)|m1_subset_1($f1(A,B,C),A).
% 2.05/2.20 0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)|r2_hidden($f1(A,B,C),B)|r2_hidden($f1(A,B,C),C).
% 2.05/2.20 0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)| -r2_hidden($f1(A,B,C),B)| -r2_hidden($f1(A,B,C),C).
% 2.05/2.20 0 [] B!=k1_tarski(A)| -r2_hidden(C,B)|C=A.
% 2.05/2.20 0 [] B!=k1_tarski(A)|r2_hidden(C,B)|C!=A.
% 2.05/2.20 0 [] B=k1_tarski(A)|r2_hidden($f2(A,B),B)|$f2(A,B)=A.
% 2.05/2.20 0 [] B=k1_tarski(A)| -r2_hidden($f2(A,B),B)|$f2(A,B)!=A.
% 2.05/2.20 0 [] $T.
% 2.05/2.20 0 [] $T.
% 2.05/2.20 0 [] $T.
% 2.05/2.20 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))| -v1_xboole_0(k22_filter_2(A,B,C)).
% 2.05/2.20 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|m2_lattice4(k22_filter_2(A,B,C),A).
% 2.05/2.20 0 [] v1_xboole_0(A)| -m1_subset_1(B,A)|m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A)).
% 2.05/2.20 0 [] -l1_lattices(A)|l1_struct_0(A).
% 2.05/2.20 0 [] $T.
% 2.05/2.20 0 [] -l2_lattices(A)|l1_struct_0(A).
% 2.05/2.20 0 [] -l3_lattices(A)|l1_lattices(A).
% 2.05/2.20 0 [] -l3_lattices(A)|l2_lattices(A).
% 2.05/2.20 0 [] $T.
% 2.05/2.20 0 [] 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))).
% 2.05/2.20 0 [] $T.
% 2.05/2.20 0 [] l1_lattices($c3).
% 2.05/2.20 0 [] l1_struct_0($c4).
% 2.05/2.20 0 [] l2_lattices($c5).
% 2.05/2.20 0 [] l3_lattices($c6).
% 2.05/2.20 0 [] m1_subset_1($f3(A),A).
% 2.05/2.20 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_lattice4($f4(A),A).
% 2.05/2.20 0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.05/2.20 0 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.05/2.20 0 [] v1_xboole_0(k1_xboole_0).
% 2.05/2.20 0 [] -v1_xboole_0(k1_tarski(A)).
% 2.05/2.20 0 [] -v1_xboole_0(k1_tarski(A)).
% 2.05/2.20 0 [] v1_finset_1(k1_tarski(A)).
% 2.05/2.20 0 [] v1_realset1(k1_tarski(A)).
% 2.05/2.20 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_lattice4($f5(A),A).
% 2.05/2.20 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -v1_xboole_0($f5(A)).
% 2.05/2.20 0 [] -v1_xboole_0($c7).
% 2.05/2.20 0 [] v1_realset1($c7).
% 2.05/2.20 0 [] v1_xboole_0(A)|m1_subset_1($f6(A),k1_zfmisc_1(A)).
% 2.05/2.20 0 [] v1_xboole_0(A)| -v1_xboole_0($f6(A)).
% 2.05/2.20 0 [] v1_xboole_0($c8).
% 2.05/2.20 0 [] -v1_xboole_0($c9).
% 2.05/2.20 0 [] -v1_realset1($c9).
% 2.05/2.20 0 [] m1_subset_1($f7(A),k1_zfmisc_1(A)).
% 2.05/2.20 0 [] v1_xboole_0($f7(A)).
% 2.05/2.20 0 [] -v1_xboole_0($c10).
% 2.05/2.20 0 [] l1_struct_0($c11).
% 2.05/2.20 0 [] -v3_struct_0($c11).
% 2.05/2.20 0 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f8(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.05/2.20 0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f8(A)).
% 2.05/2.20 0 [] v1_xboole_0(A)| -m1_subset_1(B,A)|k6_domain_1(A,B)=k1_tarski(B).
% 2.05/2.20 0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)|B=C.
% 2.05/2.20 0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)|B!=C.
% 2.05/2.20 0 [] v3_struct_0(A)| -v6_lattices(A)| -v8_lattices(A)| -v9_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))| -r3_lattices(A,B,C)|r1_lattices(A,B,C).
% 2.05/2.20 0 [] v3_struct_0(A)| -v6_lattices(A)| -v8_lattices(A)| -v9_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|r3_lattices(A,B,C)| -r1_lattices(A,B,C).
% 2.05/2.20 0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,B).
% 2.05/2.20 0 [] r1_tarski(A,A).
% 2.05/2.20 0 [] v3_struct_0(A)| -v6_lattices(A)| -v8_lattices(A)| -v9_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|r3_lattices(A,B,B).
% 2.05/2.20 0 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)|r1_filter_2(A,C,B).
% 2.05/2.20 0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.05/2.20 0 [] 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))| -r1_lattices(A,B,C)| -r1_lattices(A,C,B)|B=C.
% 2.05/2.20 0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.05/2.20 0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.05/2.20 0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.05/2.20 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.05/2.20 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.05/2.20 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))| -m1_subset_1(D,u1_struct_0(A))| -r3_lattices(A,B,C)| -r2_hidden(D,k22_filter_2(A,B,C))|r3_lattices(A,B,D).
% 2.05/2.20 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))| -m1_subset_1(D,u1_struct_0(A))| -r3_lattices(A,B,C)| -r2_hidden(D,k22_filter_2(A,B,C))|r3_lattices(A,D,C).
% 2.05/2.20 0 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))| -m1_subset_1(D,u1_struct_0(A))| -r3_lattices(A,B,C)|r2_hidden(D,k22_filter_2(A,B,C))| -r3_lattices(A,B,D)| -r3_lattices(A,D,C).
% 2.05/2.20 0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.05/2.20 0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.05/2.20 0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.05/2.20 end_of_list.
% 2.05/2.20
% 2.05/2.20 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 2.05/2.20
% 2.05/2.20 This ia a non-Horn set with equality. The strategy will be
% 2.05/2.20 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.05/2.20 deletion, with positive clauses in sos and nonpositive
% 2.05/2.20 clauses in usable.
% 2.05/2.20
% 2.05/2.20 dependent: set(knuth_bendix).
% 2.05/2.20 dependent: set(anl_eq).
% 2.05/2.20 dependent: set(para_from).
% 2.05/2.20 dependent: set(para_into).
% 2.05/2.20 dependent: clear(para_from_right).
% 2.05/2.20 dependent: clear(para_into_right).
% 2.05/2.20 dependent: set(para_from_vars).
% 2.05/2.20 dependent: set(eq_units_both_ways).
% 2.05/2.20 dependent: set(dynamic_demod_all).
% 2.05/2.20 dependent: set(dynamic_demod).
% 2.05/2.20 dependent: set(order_eq).
% 2.05/2.20 dependent: set(back_demod).
% 2.05/2.20 dependent: set(lrpo).
% 2.05/2.20 dependent: set(hyper_res).
% 2.05/2.20 dependent: set(unit_deletion).
% 2.05/2.20 dependent: set(factor).
% 2.05/2.20
% 2.05/2.20 ------------> process usable:
% 2.05/2.20 ** KEPT (pick-wt=2): 1 [] -v3_struct_0($c2).
% 2.05/2.20 ** KEPT (pick-wt=11): 2 [] -r1_filter_2(u1_struct_0($c2),k22_filter_2($c2,$c1,$c1),k6_domain_1(u1_struct_0($c2),$c1)).
% 2.05/2.20 ** KEPT (pick-wt=6): 3 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.05/2.20 ** KEPT (pick-wt=4): 4 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.05/2.20 ** KEPT (pick-wt=8): 5 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v4_lattices(A).
% 2.05/2.20 ** KEPT (pick-wt=8): 6 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v5_lattices(A).
% 2.05/2.21 ** KEPT (pick-wt=8): 7 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v6_lattices(A).
% 2.05/2.21 ** KEPT (pick-wt=8): 8 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v7_lattices(A).
% 2.05/2.21 ** KEPT (pick-wt=8): 9 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v8_lattices(A).
% 2.05/2.21 ** KEPT (pick-wt=8): 10 [] -l3_lattices(A)|v3_struct_0(A)| -v10_lattices(A)|v9_lattices(A).
% 2.05/2.21 ** KEPT (pick-wt=4): 11 [] v1_realset1(A)| -v1_xboole_0(A).
% 2.05/2.21 ** KEPT (pick-wt=18): 12 [] -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).
% 2.05/2.21 ** KEPT (pick-wt=23): 13 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)| -m1_subset_1(D,A)| -r2_hidden(D,B)|r2_hidden(D,C).
% 2.05/2.21 ** KEPT (pick-wt=23): 14 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)| -m1_subset_1(D,A)|r2_hidden(D,B)| -r2_hidden(D,C).
% 2.05/2.21 ** KEPT (pick-wt=20): 15 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)|m1_subset_1($f1(A,B,C),A).
% 2.05/2.21 ** KEPT (pick-wt=26): 16 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)|r2_hidden($f1(A,B,C),B)|r2_hidden($f1(A,B,C),C).
% 2.05/2.21 ** KEPT (pick-wt=26): 17 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)| -r2_hidden($f1(A,B,C),B)| -r2_hidden($f1(A,B,C),C).
% 2.05/2.21 ** KEPT (pick-wt=10): 18 [] A!=k1_tarski(B)| -r2_hidden(C,A)|C=B.
% 2.05/2.21 ** KEPT (pick-wt=10): 19 [] A!=k1_tarski(B)|r2_hidden(C,A)|C!=B.
% 2.05/2.21 ** KEPT (pick-wt=14): 20 [] A=k1_tarski(B)| -r2_hidden($f2(B,A),A)|$f2(B,A)!=B.
% 2.05/2.21 ** KEPT (pick-wt=19): 21 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))| -v1_xboole_0(k22_filter_2(A,B,C)).
% 2.05/2.21 ** KEPT (pick-wt=20): 22 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|m2_lattice4(k22_filter_2(A,B,C),A).
% 2.05/2.21 ** KEPT (pick-wt=11): 23 [] v1_xboole_0(A)| -m1_subset_1(B,A)|m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A)).
% 2.05/2.21 ** KEPT (pick-wt=4): 24 [] -l1_lattices(A)|l1_struct_0(A).
% 2.05/2.21 ** KEPT (pick-wt=4): 25 [] -l2_lattices(A)|l1_struct_0(A).
% 2.05/2.21 ** KEPT (pick-wt=4): 26 [] -l3_lattices(A)|l1_lattices(A).
% 2.05/2.21 ** KEPT (pick-wt=4): 27 [] -l3_lattices(A)|l2_lattices(A).
% 2.05/2.21 ** KEPT (pick-wt=14): 28 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m2_lattice4(B,A)|m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))).
% 2.05/2.21 ** KEPT (pick-wt=10): 29 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_lattice4($f4(A),A).
% 2.05/2.21 ** KEPT (pick-wt=7): 30 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.05/2.21 ** KEPT (pick-wt=3): 31 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.05/2.21 ** KEPT (pick-wt=3): 32 [] -v1_xboole_0(k1_tarski(A)).
% 2.05/2.21 Following clause subsumed by 32 during input processing: 0 [] -v1_xboole_0(k1_tarski(A)).
% 2.05/2.21 ** KEPT (pick-wt=10): 33 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)|m2_lattice4($f5(A),A).
% 2.05/2.21 ** KEPT (pick-wt=9): 34 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -v1_xboole_0($f5(A)).
% 2.05/2.21 ** KEPT (pick-wt=2): 35 [] -v1_xboole_0($c7).
% 2.05/2.21 ** KEPT (pick-wt=5): 36 [] v1_xboole_0(A)| -v1_xboole_0($f6(A)).
% 2.05/2.21 ** KEPT (pick-wt=2): 37 [] -v1_xboole_0($c9).
% 2.05/2.21 ** KEPT (pick-wt=2): 38 [] -v1_realset1($c9).
% 2.05/2.21 ** KEPT (pick-wt=2): 39 [] -v1_xboole_0($c10).
% 2.05/2.21 ** KEPT (pick-wt=2): 40 [] -v3_struct_0($c11).
% 2.05/2.21 ** KEPT (pick-wt=10): 41 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f8(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.05/2.21 ** KEPT (pick-wt=7): 42 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f8(A)).
% 2.05/2.21 ** KEPT (pick-wt=11): 43 [] v1_xboole_0(A)| -m1_subset_1(B,A)|k6_domain_1(A,B)=k1_tarski(B).
% 2.05/2.21 ** KEPT (pick-wt=17): 44 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)|B=C.
% 2.05/2.21 ** KEPT (pick-wt=17): 45 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|r1_filter_2(A,B,C)|B!=C.
% 2.05/2.21 ** KEPT (pick-wt=26): 46 [] v3_struct_0(A)| -v6_lattices(A)| -v8_lattices(A)| -v9_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))| -r3_lattices(A,B,C)|r1_lattices(A,B,C).
% 112.43/112.62 ** KEPT (pick-wt=26): 47 [] v3_struct_0(A)| -v6_lattices(A)| -v8_lattices(A)| -v9_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))|r3_lattices(A,B,C)| -r1_lattices(A,B,C).
% 112.43/112.62 ** KEPT (pick-wt=10): 49 [copy,48,factor_simp] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))|r1_filter_2(A,B,B).
% 112.43/112.62 ** KEPT (pick-wt=18): 51 [copy,50,factor_simp] v3_struct_0(A)| -v6_lattices(A)| -v8_lattices(A)| -v9_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))|r3_lattices(A,B,B).
% 112.43/112.62 ** KEPT (pick-wt=18): 52 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))| -r1_filter_2(A,B,C)|r1_filter_2(A,C,B).
% 112.43/112.62 ** KEPT (pick-wt=6): 53 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 112.43/112.62 ** KEPT (pick-wt=25): 54 [] 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))| -r1_lattices(A,B,C)| -r1_lattices(A,C,B)|B=C.
% 112.43/112.62 ** KEPT (pick-wt=8): 55 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 112.43/112.62 ** KEPT (pick-wt=7): 56 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 112.43/112.62 ** KEPT (pick-wt=7): 57 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 112.43/112.62 ** KEPT (pick-wt=10): 58 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 112.43/112.62 ** KEPT (pick-wt=9): 59 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 112.43/112.62 ** KEPT (pick-wt=32): 60 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))| -m1_subset_1(D,u1_struct_0(A))| -r3_lattices(A,B,C)| -r2_hidden(D,k22_filter_2(A,B,C))|r3_lattices(A,B,D).
% 112.43/112.62 ** KEPT (pick-wt=32): 61 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))| -m1_subset_1(D,u1_struct_0(A))| -r3_lattices(A,B,C)| -r2_hidden(D,k22_filter_2(A,B,C))|r3_lattices(A,D,C).
% 112.43/112.62 ** KEPT (pick-wt=36): 62 [] v3_struct_0(A)| -v10_lattices(A)| -l3_lattices(A)| -m1_subset_1(B,u1_struct_0(A))| -m1_subset_1(C,u1_struct_0(A))| -m1_subset_1(D,u1_struct_0(A))| -r3_lattices(A,B,C)|r2_hidden(D,k22_filter_2(A,B,C))| -r3_lattices(A,B,D)| -r3_lattices(A,D,C).
% 112.43/112.62 ** KEPT (pick-wt=5): 63 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 112.43/112.62 ** KEPT (pick-wt=5): 64 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 112.43/112.62 ** KEPT (pick-wt=7): 65 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 112.43/112.62
% 112.43/112.62 ------------> process sos:
% 112.43/112.62 ** KEPT (pick-wt=3): 81 [] A=A.
% 112.43/112.62 ** KEPT (pick-wt=2): 82 [] v10_lattices($c2).
% 112.43/112.62 ** KEPT (pick-wt=2): 83 [] l3_lattices($c2).
% 112.43/112.62 ** KEPT (pick-wt=4): 84 [] m1_subset_1($c1,u1_struct_0($c2)).
% 112.43/112.62 ** KEPT (pick-wt=14): 85 [] A=k1_tarski(B)|r2_hidden($f2(B,A),A)|$f2(B,A)=B.
% 112.43/112.62 ** KEPT (pick-wt=2): 86 [] l1_lattices($c3).
% 112.43/112.62 ** KEPT (pick-wt=2): 87 [] l1_struct_0($c4).
% 112.43/112.62 ** KEPT (pick-wt=2): 88 [] l2_lattices($c5).
% 112.43/112.62 ** KEPT (pick-wt=2): 89 [] l3_lattices($c6).
% 112.43/112.62 ** KEPT (pick-wt=4): 90 [] m1_subset_1($f3(A),A).
% 112.43/112.62 ** KEPT (pick-wt=2): 91 [] v1_xboole_0(k1_xboole_0).
% 112.43/112.62 ** KEPT (pick-wt=3): 92 [] v1_finset_1(k1_tarski(A)).
% 112.43/112.62 ** KEPT (pick-wt=3): 93 [] v1_realset1(k1_tarski(A)).
% 112.43/112.62 ** KEPT (pick-wt=2): 94 [] v1_realset1($c7).
% 112.43/112.62 ** KEPT (pick-wt=7): 95 [] v1_xboole_0(A)|m1_subset_1($f6(A),k1_zfmisc_1(A)).
% 112.43/112.62 ** KEPT (pick-wt=2): 96 [] v1_xboole_0($c8).
% 112.43/112.62 ** KEPT (pick-wt=5): 97 [] m1_subset_1($f7(A),k1_zfmisc_1(A)).
% 112.43/112.62 ** KEPT (pick-wt=3): 98 [] v1_xboole_0($f7(A)).
% 112.43/112.62 ** KEPT (pick-wt=2): 99 [] l1_struct_0($c11).
% 112.43/112.62 ** KEPT (pick-wt=3): 100 [] r1_tarski(A,A).
% 112.43/112.62 Following clause subsumed by 81 during input processing: 0 [copy,81,flip.1] A=A.
% 112.43/112.62 81 back subsumes 80.
% 112.43/112.62 81 back subsumes 71.
% 112.43/112.62 81 back subsumes 69.
% 112.43/112.62
% 112.43/112.62 ======= end of input processing =======
% 112.43/112.62
% 112.43/112.62 =========== start of search ===========
% 112.43/112.62
% 112.43/112.62
% 112.43/112.62 Resetting weight limit to 6.
% 112.43/112.62
% 112.43/112.62
% 112.43/112.62 Resetting weight limit to 6.
% 112.43/112.62
% 112.43/112.62 sos_size=1080
% 112.43/112.62
% 112.43/112.62 Search stopped because sos empty.
% 112.43/112.62
% 112.43/112.62
% 112.43/112.62 Search stopped because sos empty.
% 112.43/112.62
% 112.43/112.62 ============ end of search ============
% 112.43/112.62
% 112.43/112.62 -------------- statistics -------------
% 112.43/112.62 clauses given 1305
% 112.43/112.62 clauses generated 1482308
% 112.43/112.62 clauses kept 1420
% 112.43/112.62 clauses forward subsumed 2890
% 112.43/112.62 clauses back subsumed 14
% 112.43/112.62 Kbytes malloced 6835
% 112.43/112.62
% 112.43/112.62 ----------- times (seconds) -----------
% 112.43/112.62 user CPU time 110.42 (0 hr, 1 min, 50 sec)
% 112.43/112.62 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 112.43/112.62 wall-clock time 112 (0 hr, 1 min, 52 sec)
% 112.43/112.62
% 112.43/112.62 Process 18663 finished Wed Jul 27 08:26:30 2022
% 112.52/112.62 Otter interrupted
% 112.52/112.62 PROOF NOT FOUND
%------------------------------------------------------------------------------