TSTP Solution File: GRP622+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP622+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 12:57:24 EDT 2022
% Result : Unknown 4.98s 5.20s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP622+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n023.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 : 300
% 0.12/0.33 % DateTime : Wed Jul 27 05:44:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.23/2.43 ----- Otter 3.3f, August 2004 -----
% 2.23/2.43 The process was started by sandbox2 on n023.cluster.edu,
% 2.23/2.43 Wed Jul 27 05:44:33 2022
% 2.23/2.43 The command was "./otter". The process ID is 27817.
% 2.23/2.43
% 2.23/2.43 set(prolog_style_variables).
% 2.23/2.43 set(auto).
% 2.23/2.43 dependent: set(auto1).
% 2.23/2.43 dependent: set(process_input).
% 2.23/2.43 dependent: clear(print_kept).
% 2.23/2.43 dependent: clear(print_new_demod).
% 2.23/2.43 dependent: clear(print_back_demod).
% 2.23/2.43 dependent: clear(print_back_sub).
% 2.23/2.43 dependent: set(control_memory).
% 2.23/2.43 dependent: assign(max_mem, 12000).
% 2.23/2.43 dependent: assign(pick_given_ratio, 4).
% 2.23/2.43 dependent: assign(stats_level, 1).
% 2.23/2.43 dependent: assign(max_seconds, 10800).
% 2.23/2.43 clear(print_given).
% 2.23/2.43
% 2.23/2.43 formula_list(usable).
% 2.23/2.43 all A (A=A).
% 2.23/2.43 -(all A (-v3_struct_0(A)&v1_group_1(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)->r1_tarski(k4_autgroup(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))))).
% 2.23/2.43 all A (l1_group_1(A)-> (v1_group_1(A)->A=g1_group_1(u1_struct_0(A),u1_group_1(A)))).
% 2.23/2.43 all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.23/2.43 all A (v1_fraenkel(A)-> (all B (m1_subset_1(B,A)->v1_relat_1(B)&v1_funct_1(B)))).
% 2.23/2.43 all A (v1_xboole_0(A)->v1_funct_1(A)).
% 2.23/2.43 all A B C (m1_relset_1(C,A,B)-> (v1_funct_1(C)&v1_partfun1(C,A,B)->v1_funct_1(C)&v1_funct_2(C,A,B))).
% 2.23/2.43 all A (l1_group_1(A)-> (-v3_struct_0(A)&v3_group_1(A)-> -v3_struct_0(A)&v2_group_1(A))).
% 2.23/2.43 all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 2.23/2.43 all A (v1_relat_1(A)&v1_xboole_0(A)&v1_funct_1(A)->v1_relat_1(A)&v1_funct_1(A)&v2_funct_1(A)).
% 2.23/2.43 all A B (-v1_xboole_0(B)-> (all C (m1_relset_1(C,A,B)-> (v1_funct_1(C)&v1_funct_2(C,A,B)->v1_funct_1(C)&v1_partfun1(C,A,B)&v1_funct_2(C,A,B))))).
% 2.23/2.43 all A B (-v1_xboole_0(A)& -v1_xboole_0(B)-> (all C (m1_relset_1(C,A,B)-> (v1_funct_1(C)&v1_funct_2(C,A,B)->v1_funct_1(C)& -v1_xboole_0(C)&v1_partfun1(C,A,B)&v1_funct_2(C,A,B))))).
% 2.23/2.43 all A B (r1_tarski(A,B)<-> (all C (r2_hidden(C,A)->r2_hidden(C,B)))).
% 2.23/2.43 all A B (v1_funct_1(B)&v1_funct_2(B,k2_zfmisc_1(A,A),A)&m1_relset_1(B,k2_zfmisc_1(A,A),A)->v1_group_1(g1_group_1(A,B))&l1_group_1(g1_group_1(A,B))).
% 2.23/2.43 all A B (-v1_xboole_0(B)->m1_fraenkel(k1_fraenkel(A,B),A,B)).
% 2.23/2.43 $T.
% 2.23/2.43 $T.
% 2.23/2.43 $T.
% 2.23/2.43 $T.
% 2.23/2.43 all A (-v3_struct_0(A)&v1_group_1(A)&v3_group_1(A)&v4_group_1(A)&l1_group_1(A)->m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A))).
% 2.23/2.43 all A (l1_group_1(A)->l1_struct_0(A)).
% 2.23/2.43 $T.
% 2.23/2.43 all A B C (m1_fraenkel(C,A,B)-> -v1_xboole_0(C)&v1_fraenkel(C)).
% 2.23/2.43 $T.
% 2.23/2.43 $T.
% 2.23/2.43 all A B C (-v1_xboole_0(B)&m1_fraenkel(C,A,B)-> (all D (m2_fraenkel(D,A,B,C)->v1_funct_1(D)&v1_funct_2(D,A,B)&m2_relset_1(D,A,B)))).
% 2.23/2.43 all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 2.23/2.43 all A (l1_group_1(A)->v1_funct_1(u1_group_1(A))&v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))&m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))).
% 2.23/2.43 $T.
% 2.23/2.43 exists A l1_group_1(A).
% 2.23/2.43 exists A l1_struct_0(A).
% 2.23/2.43 all A B exists C m1_fraenkel(C,A,B).
% 2.23/2.43 all A B exists C m1_relset_1(C,A,B).
% 2.23/2.43 all A exists B m1_subset_1(B,A).
% 2.23/2.43 all A B C (-v1_xboole_0(B)&m1_fraenkel(C,A,B)-> (exists D m2_fraenkel(D,A,B,C))).
% 2.23/2.43 all A B exists C m2_relset_1(C,A,B).
% 2.23/2.43 all A B v1_fraenkel(k1_funct_2(A,B)).
% 2.23/2.43 all A B (-v1_xboole_0(B)-> -v1_xboole_0(k1_funct_2(A,B))).
% 2.23/2.43 all A B (-v1_xboole_0(A)&v1_funct_1(B)&v1_funct_2(B,k2_zfmisc_1(A,A),A)&m1_relset_1(B,k2_zfmisc_1(A,A),A)-> -v3_struct_0(g1_group_1(A,B))&v1_group_1(g1_group_1(A,B))).
% 2.23/2.43 all A (-v3_struct_0(A)&l1_struct_0(A)-> -v1_xboole_0(u1_struct_0(A))).
% 2.23/2.43 v1_xboole_0(k1_xboole_0).
% 2.23/2.43 all A (-v1_xboole_0(k1_funct_2(A,A))).
% 2.23/2.43 all A B (v1_funct_1(B)&v1_funct_2(B,k2_zfmisc_1(A,A),A)&m1_relset_1(B,k2_zfmisc_1(A,A),A)-> (all C D (g1_group_1(A,B)=g1_group_1(C,D)->A=C&B=D))).
% 2.23/2.43 exists A (-v1_xboole_0(A)&v1_fraenkel(A)).
% 2.23/2.43 exists A (v1_relat_1(A)&v1_funct_1(A)).
% 2.23/2.43 all A B exists C (m1_relset_1(C,A,B)&v1_relat_1(C)&v1_funct_1(C)&v1_funct_2(C,A,B)).
% 2.23/2.43 exists A (l1_group_1(A)&v1_group_1(A)).
% 2.23/2.43 exists A (v1_relat_1(A)&v1_funct_1(A)&v2_funct_1(A)&v1_xboole_0(A)).
% 2.23/2.43 exists A v1_xboole_0(A).
% 2.23/2.43 exists A (v1_relat_1(A)&v1_xboole_0(A)&v1_funct_1(A)).
% 2.23/2.43 exists A (l1_group_1(A)& -v3_struct_0(A)&v1_group_1(A)).
% 2.23/2.43 all A B exists C (m1_relset_1(C,A,B)&v1_relat_1(C)&v1_funct_1(C)).
% 2.23/2.43 exists A (-v1_xboole_0(A)).
% 2.23/2.43 exists A (v1_relat_1(A)&v1_funct_1(A)&v2_funct_1(A)).
% 2.23/2.43 exists A (l1_group_1(A)& -v3_struct_0(A)&v1_group_1(A)&v2_group_1(A)&v3_group_1(A)&v4_group_1(A)).
% 2.23/2.43 exists A (l1_struct_0(A)& -v3_struct_0(A)).
% 2.23/2.43 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)))).
% 2.23/2.43 all A B (-v1_xboole_0(B)->k1_fraenkel(A,B)=k1_funct_2(A,B)).
% 2.23/2.43 all A B C (-v1_xboole_0(B)&m1_fraenkel(C,A,B)-> (all D (m2_fraenkel(D,A,B,C)<->m1_subset_1(D,C)))).
% 2.23/2.43 all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 2.23/2.43 all A B r1_tarski(A,A).
% 2.23/2.43 all A B (v1_funct_1(B)&v1_funct_2(B,A,A)&m2_relset_1(B,A,A)->r2_hidden(B,k1_funct_2(A,A))).
% 2.23/2.43 all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.23/2.43 all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.23/2.43 all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.23/2.43 all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.23/2.43 all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.23/2.43 all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.23/2.43 all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.23/2.43 all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.23/2.43 end_of_list.
% 2.23/2.43
% 2.23/2.43 -------> usable clausifies to:
% 2.23/2.43
% 2.23/2.43 list(usable).
% 2.23/2.43 0 [] A=A.
% 2.23/2.43 0 [] -v3_struct_0($c1).
% 2.23/2.43 0 [] v1_group_1($c1).
% 2.23/2.43 0 [] v3_group_1($c1).
% 2.23/2.43 0 [] v4_group_1($c1).
% 2.23/2.43 0 [] l1_group_1($c1).
% 2.23/2.43 0 [] -r1_tarski(k4_autgroup($c1),k1_fraenkel(u1_struct_0($c1),u1_struct_0($c1))).
% 2.23/2.43 0 [] -l1_group_1(A)| -v1_group_1(A)|A=g1_group_1(u1_struct_0(A),u1_group_1(A)).
% 2.23/2.43 0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.23/2.43 0 [] -v1_fraenkel(A)| -m1_subset_1(B,A)|v1_relat_1(B).
% 2.23/2.43 0 [] -v1_fraenkel(A)| -m1_subset_1(B,A)|v1_funct_1(B).
% 2.23/2.43 0 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.23/2.43 0 [] -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_partfun1(C,A,B)|v1_funct_2(C,A,B).
% 2.23/2.43 0 [] -l1_group_1(A)|v3_struct_0(A)| -v3_group_1(A)|v2_group_1(A).
% 2.23/2.43 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 2.23/2.43 0 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.23/2.43 0 [] v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)|v1_partfun1(C,A,B).
% 2.23/2.43 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -v1_xboole_0(C).
% 2.23/2.43 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)|v1_partfun1(C,A,B).
% 2.23/2.43 0 [] -r1_tarski(A,B)| -r2_hidden(C,A)|r2_hidden(C,B).
% 2.23/2.43 0 [] r1_tarski(A,B)|r2_hidden($f1(A,B),A).
% 2.23/2.43 0 [] r1_tarski(A,B)| -r2_hidden($f1(A,B),B).
% 2.23/2.43 0 [] -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|v1_group_1(g1_group_1(A,B)).
% 2.23/2.43 0 [] -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|l1_group_1(g1_group_1(A,B)).
% 2.23/2.43 0 [] v1_xboole_0(B)|m1_fraenkel(k1_fraenkel(A,B),A,B).
% 2.23/2.43 0 [] $T.
% 2.23/2.43 0 [] $T.
% 2.23/2.43 0 [] $T.
% 2.23/2.43 0 [] $T.
% 2.23/2.43 0 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)|m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)).
% 2.23/2.43 0 [] -l1_group_1(A)|l1_struct_0(A).
% 2.23/2.43 0 [] $T.
% 2.23/2.43 0 [] -m1_fraenkel(C,A,B)| -v1_xboole_0(C).
% 2.23/2.43 0 [] -m1_fraenkel(C,A,B)|v1_fraenkel(C).
% 2.23/2.43 0 [] $T.
% 2.23/2.43 0 [] $T.
% 2.23/2.43 0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)| -m2_fraenkel(D,A,B,C)|v1_funct_1(D).
% 2.23/2.43 0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)| -m2_fraenkel(D,A,B,C)|v1_funct_2(D,A,B).
% 2.23/2.43 0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)| -m2_fraenkel(D,A,B,C)|m2_relset_1(D,A,B).
% 2.23/2.43 0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 2.23/2.43 0 [] -l1_group_1(A)|v1_funct_1(u1_group_1(A)).
% 2.23/2.43 0 [] -l1_group_1(A)|v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.23/2.43 0 [] -l1_group_1(A)|m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.23/2.43 0 [] $T.
% 2.23/2.43 0 [] l1_group_1($c2).
% 2.23/2.43 0 [] l1_struct_0($c3).
% 2.23/2.43 0 [] m1_fraenkel($f2(A,B),A,B).
% 2.23/2.43 0 [] m1_relset_1($f3(A,B),A,B).
% 2.23/2.43 0 [] m1_subset_1($f4(A),A).
% 2.23/2.43 0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)|m2_fraenkel($f5(A,B,C),A,B,C).
% 2.23/2.43 0 [] m2_relset_1($f6(A,B),A,B).
% 2.23/2.43 0 [] v1_fraenkel(k1_funct_2(A,B)).
% 2.23/2.43 0 [] v1_xboole_0(B)| -v1_xboole_0(k1_funct_2(A,B)).
% 2.23/2.43 0 [] v1_xboole_0(A)| -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)| -v3_struct_0(g1_group_1(A,B)).
% 2.23/2.43 0 [] v1_xboole_0(A)| -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|v1_group_1(g1_group_1(A,B)).
% 2.23/2.43 0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.23/2.43 0 [] v1_xboole_0(k1_xboole_0).
% 2.23/2.43 0 [] -v1_xboole_0(k1_funct_2(A,A)).
% 2.23/2.43 0 [] -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|g1_group_1(A,B)!=g1_group_1(C,D)|A=C.
% 2.23/2.43 0 [] -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|g1_group_1(A,B)!=g1_group_1(C,D)|B=D.
% 2.23/2.43 0 [] -v1_xboole_0($c4).
% 2.23/2.43 0 [] v1_fraenkel($c4).
% 2.23/2.43 0 [] v1_relat_1($c5).
% 2.23/2.43 0 [] v1_funct_1($c5).
% 2.23/2.43 0 [] m1_relset_1($f7(A,B),A,B).
% 2.23/2.43 0 [] v1_relat_1($f7(A,B)).
% 2.23/2.43 0 [] v1_funct_1($f7(A,B)).
% 2.23/2.43 0 [] v1_funct_2($f7(A,B),A,B).
% 2.23/2.43 0 [] l1_group_1($c6).
% 2.23/2.43 0 [] v1_group_1($c6).
% 2.23/2.43 0 [] v1_relat_1($c7).
% 2.23/2.43 0 [] v1_funct_1($c7).
% 2.23/2.43 0 [] v2_funct_1($c7).
% 2.23/2.43 0 [] v1_xboole_0($c7).
% 2.23/2.43 0 [] v1_xboole_0($c8).
% 2.23/2.43 0 [] v1_relat_1($c9).
% 2.23/2.43 0 [] v1_xboole_0($c9).
% 2.23/2.43 0 [] v1_funct_1($c9).
% 2.23/2.43 0 [] l1_group_1($c10).
% 2.23/2.43 0 [] -v3_struct_0($c10).
% 2.23/2.43 0 [] v1_group_1($c10).
% 2.23/2.43 0 [] m1_relset_1($f8(A,B),A,B).
% 2.23/2.43 0 [] v1_relat_1($f8(A,B)).
% 2.23/2.43 0 [] v1_funct_1($f8(A,B)).
% 2.23/2.43 0 [] -v1_xboole_0($c11).
% 2.23/2.43 0 [] v1_relat_1($c12).
% 2.23/2.43 0 [] v1_funct_1($c12).
% 2.23/2.43 0 [] v2_funct_1($c12).
% 2.23/2.43 0 [] l1_group_1($c13).
% 2.23/2.43 0 [] -v3_struct_0($c13).
% 2.23/2.43 0 [] v1_group_1($c13).
% 2.23/2.43 0 [] v2_group_1($c13).
% 2.23/2.43 0 [] v3_group_1($c13).
% 2.23/2.43 0 [] v4_group_1($c13).
% 2.23/2.43 0 [] l1_struct_0($c14).
% 2.23/2.43 0 [] -v3_struct_0($c14).
% 2.23/2.43 0 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f9(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.23/2.43 0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f9(A)).
% 2.23/2.43 0 [] v1_xboole_0(B)|k1_fraenkel(A,B)=k1_funct_2(A,B).
% 2.23/2.43 0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)| -m2_fraenkel(D,A,B,C)|m1_subset_1(D,C).
% 2.23/2.43 0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)|m2_fraenkel(D,A,B,C)| -m1_subset_1(D,C).
% 2.23/2.43 0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 2.23/2.43 0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 2.23/2.43 0 [] r1_tarski(A,A).
% 2.23/2.43 0 [] -v1_funct_1(B)| -v1_funct_2(B,A,A)| -m2_relset_1(B,A,A)|r2_hidden(B,k1_funct_2(A,A)).
% 2.23/2.43 0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.23/2.43 0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.23/2.43 0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.23/2.43 0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.23/2.43 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.23/2.43 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.23/2.43 0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.23/2.43 0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.23/2.43 0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.23/2.43 end_of_list.
% 2.23/2.43
% 2.23/2.43 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 2.23/2.43
% 2.23/2.43 This ia a non-Horn set with equality. The strategy will be
% 2.23/2.43 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.23/2.43 deletion, with positive clauses in sos and nonpositive
% 2.23/2.43 clauses in usable.
% 2.23/2.43
% 2.23/2.43 dependent: set(knuth_bendix).
% 2.23/2.43 dependent: set(anl_eq).
% 2.23/2.43 dependent: set(para_from).
% 2.23/2.43 dependent: set(para_into).
% 2.23/2.43 dependent: clear(para_from_right).
% 2.23/2.43 dependent: clear(para_into_right).
% 2.23/2.43 dependent: set(para_from_vars).
% 2.23/2.43 dependent: set(eq_units_both_ways).
% 2.23/2.43 dependent: set(dynamic_demod_all).
% 2.23/2.43 dependent: set(dynamic_demod).
% 2.23/2.43 dependent: set(order_eq).
% 2.23/2.43 dependent: set(back_demod).
% 2.23/2.43 dependent: set(lrpo).
% 2.23/2.43 dependent: set(hyper_res).
% 2.23/2.43 dependent: set(unit_deletion).
% 2.23/2.43 dependent: set(factor).
% 2.23/2.43
% 2.23/2.43 ------------> process usable:
% 2.23/2.43 ** KEPT (pick-wt=2): 1 [] -v3_struct_0($c1).
% 2.23/2.43 ** KEPT (pick-wt=8): 2 [] -r1_tarski(k4_autgroup($c1),k1_fraenkel(u1_struct_0($c1),u1_struct_0($c1))).
% 2.23/2.43 ** KEPT (pick-wt=11): 4 [copy,3,flip.3] -l1_group_1(A)| -v1_group_1(A)|g1_group_1(u1_struct_0(A),u1_group_1(A))=A.
% 2.23/2.43 ** KEPT (pick-wt=6): 5 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.23/2.43 ** KEPT (pick-wt=7): 6 [] -v1_fraenkel(A)| -m1_subset_1(B,A)|v1_relat_1(B).
% 2.23/2.43 ** KEPT (pick-wt=7): 7 [] -v1_fraenkel(A)| -m1_subset_1(B,A)|v1_funct_1(B).
% 2.23/2.43 ** KEPT (pick-wt=4): 8 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.23/2.43 ** KEPT (pick-wt=14): 9 [] -m1_relset_1(A,B,C)| -v1_funct_1(A)| -v1_partfun1(A,B,C)|v1_funct_2(A,B,C).
% 2.23/2.43 ** KEPT (pick-wt=8): 10 [] -l1_group_1(A)|v3_struct_0(A)| -v3_group_1(A)|v2_group_1(A).
% 2.23/2.43 ** KEPT (pick-wt=8): 11 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 2.23/2.43 ** KEPT (pick-wt=8): 12 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.23/2.43 ** KEPT (pick-wt=16): 13 [] v1_xboole_0(A)| -m1_relset_1(B,C,A)| -v1_funct_1(B)| -v1_funct_2(B,C,A)|v1_partfun1(B,C,A).
% 2.23/2.43 ** KEPT (pick-wt=16): 14 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -v1_xboole_0(C).
% 2.23/2.43 Following clause subsumed by 13 during input processing: 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -m1_relset_1(C,A,B)| -v1_funct_1(C)| -v1_funct_2(C,A,B)|v1_partfun1(C,A,B).
% 2.23/2.43 ** KEPT (pick-wt=9): 15 [] -r1_tarski(A,B)| -r2_hidden(C,A)|r2_hidden(C,B).
% 2.23/2.43 ** KEPT (pick-wt=8): 16 [] r1_tarski(A,B)| -r2_hidden($f1(A,B),B).
% 2.23/2.43 ** KEPT (pick-wt=18): 17 [] -v1_funct_1(A)| -v1_funct_2(A,k2_zfmisc_1(B,B),B)| -m1_relset_1(A,k2_zfmisc_1(B,B),B)|v1_group_1(g1_group_1(B,A)).
% 2.23/2.43 ** KEPT (pick-wt=18): 18 [] -v1_funct_1(A)| -v1_funct_2(A,k2_zfmisc_1(B,B),B)| -m1_relset_1(A,k2_zfmisc_1(B,B),B)|l1_group_1(g1_group_1(B,A)).
% 2.23/2.43 ** KEPT (pick-wt=17): 19 [] v3_struct_0(A)| -v1_group_1(A)| -v3_group_1(A)| -v4_group_1(A)| -l1_group_1(A)|m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)).
% 2.23/2.43 ** KEPT (pick-wt=4): 20 [] -l1_group_1(A)|l1_struct_0(A).
% 2.23/2.43 ** KEPT (pick-wt=6): 21 [] -m1_fraenkel(A,B,C)| -v1_xboole_0(A).
% 2.23/2.43 ** KEPT (pick-wt=6): 22 [] -m1_fraenkel(A,B,C)|v1_fraenkel(A).
% 2.23/2.43 ** KEPT (pick-wt=13): 23 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)| -m2_fraenkel(D,C,A,B)|v1_funct_1(D).
% 2.23/2.43 ** KEPT (pick-wt=15): 24 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)| -m2_fraenkel(D,C,A,B)|v1_funct_2(D,C,A).
% 2.23/2.43 ** KEPT (pick-wt=15): 25 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)| -m2_fraenkel(D,C,A,B)|m2_relset_1(D,C,A).
% 2.23/2.43 ** KEPT (pick-wt=10): 26 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 2.23/2.43 ** KEPT (pick-wt=5): 27 [] -l1_group_1(A)|v1_funct_1(u1_group_1(A)).
% 2.23/2.43 ** KEPT (pick-wt=12): 28 [] -l1_group_1(A)|v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.23/2.43 ** KEPT (pick-wt=12): 29 [] -l1_group_1(A)|m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)).
% 2.23/2.43 ** KEPT (pick-wt=14): 30 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)|m2_fraenkel($f5(C,A,B),C,A,B).
% 2.23/2.43 ** KEPT (pick-wt=6): 31 [] v1_xboole_0(A)| -v1_xboole_0(k1_funct_2(B,A)).
% 2.23/2.43 ** KEPT (pick-wt=20): 32 [] v1_xboole_0(A)| -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)| -v3_struct_0(g1_group_1(A,B)).
% 2.23/2.43 Following clause subsumed by 17 during input processing: 0 [] v1_xboole_0(A)| -v1_funct_1(B)| -v1_funct_2(B,k2_zfmisc_1(A,A),A)| -m1_relset_1(B,k2_zfmisc_1(A,A),A)|v1_group_1(g1_group_1(A,B)).
% 2.23/2.43 ** KEPT (pick-wt=7): 33 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.23/2.43 ** KEPT (pick-wt=4): 34 [] -v1_xboole_0(k1_funct_2(A,A)).
% 2.23/2.43 ** KEPT (pick-wt=24): 35 [] -v1_funct_1(A)| -v1_funct_2(A,k2_zfmisc_1(B,B),B)| -m1_relset_1(A,k2_zfmisc_1(B,B),B)|g1_group_1(B,A)!=g1_group_1(C,D)|B=C.
% 2.23/2.43 ** KEPT (pick-wt=24): 36 [] -v1_funct_1(A)| -v1_funct_2(A,k2_zfmisc_1(B,B),B)| -m1_relset_1(A,k2_zfmisc_1(B,B),B)|g1_group_1(B,A)!=g1_group_1(C,D)|A=D.
% 2.23/2.43 ** KEPT (pick-wt=2): 37 [] -v1_xboole_0($c4).
% 2.23/2.43 ** KEPT (pick-wt=2): 38 [] -v3_struct_0($c10).
% 2.23/2.43 ** KEPT (pick-wt=2): 39 [] -v1_xboole_0($c11).
% 2.23/2.43 ** KEPT (pick-wt=2): 40 [] -v3_struct_0($c13).
% 2.23/2.43 ** KEPT (pick-wt=2): 41 [] -v3_struct_0($c14).
% 2.23/2.43 ** KEPT (pick-wt=10): 42 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f9(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.23/2.43 ** KEPT (pick-wt=7): 43 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f9(A)).
% 2.23/2.43 ** KEPT (pick-wt=14): 44 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)| -m2_fraenkel(D,C,A,B)|m1_subset_1(D,B).
% 2.23/2.43 ** KEPT (pick-wt=14): 45 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)|m2_fraenkel(D,C,A,B)| -m1_subset_1(D,B).
% 2.23/2.43 ** KEPT (pick-wt=8): 46 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 2.23/2.43 ** KEPT (pick-wt=8): 47 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 2.23/2.43 ** KEPT (pick-wt=15): 48 [] -v1_funct_1(A)| -v1_funct_2(A,B,B)| -m2_relset_1(A,B,B)|r2_hidden(A,k1_funct_2(B,B)).
% 2.23/2.43 ** KEPT (pick-wt=6): 49 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.23/2.43 ** KEPT (pick-wt=8): 50 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.23/2.43 ** KEPT (pick-wt=7): 51 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.23/2.43 ** KEPT (pick-wt=7): 52 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.23/2.43 ** KEPT (pick-wt=10): 53 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 4.98/5.19 ** KEPT (pick-wt=9): 54 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 4.98/5.19 ** KEPT (pick-wt=5): 55 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 4.98/5.19 ** KEPT (pick-wt=5): 56 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 4.98/5.19 ** KEPT (pick-wt=7): 57 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 4.98/5.19
% 4.98/5.19 ------------> process sos:
% 4.98/5.19 ** KEPT (pick-wt=3): 61 [] A=A.
% 4.98/5.19 ** KEPT (pick-wt=2): 62 [] v1_group_1($c1).
% 4.98/5.19 ** KEPT (pick-wt=2): 63 [] v3_group_1($c1).
% 4.98/5.19 ** KEPT (pick-wt=2): 64 [] v4_group_1($c1).
% 4.98/5.19 ** KEPT (pick-wt=2): 65 [] l1_group_1($c1).
% 4.98/5.19 ** KEPT (pick-wt=8): 66 [] r1_tarski(A,B)|r2_hidden($f1(A,B),A).
% 4.98/5.19 ** KEPT (pick-wt=8): 67 [] v1_xboole_0(A)|m1_fraenkel(k1_fraenkel(B,A),B,A).
% 4.98/5.19 ** KEPT (pick-wt=2): 68 [] l1_group_1($c2).
% 4.98/5.19 ** KEPT (pick-wt=2): 69 [] l1_struct_0($c3).
% 4.98/5.19 ** KEPT (pick-wt=6): 70 [] m1_fraenkel($f2(A,B),A,B).
% 4.98/5.19 ** KEPT (pick-wt=6): 71 [] m1_relset_1($f3(A,B),A,B).
% 4.98/5.19 ** KEPT (pick-wt=4): 72 [] m1_subset_1($f4(A),A).
% 4.98/5.19 ** KEPT (pick-wt=6): 73 [] m2_relset_1($f6(A,B),A,B).
% 4.98/5.19 ** KEPT (pick-wt=4): 74 [] v1_fraenkel(k1_funct_2(A,B)).
% 4.98/5.20 ** KEPT (pick-wt=2): 75 [] v1_xboole_0(k1_xboole_0).
% 4.98/5.20 ** KEPT (pick-wt=2): 76 [] v1_fraenkel($c4).
% 4.98/5.20 ** KEPT (pick-wt=2): 77 [] v1_relat_1($c5).
% 4.98/5.20 ** KEPT (pick-wt=2): 78 [] v1_funct_1($c5).
% 4.98/5.20 ** KEPT (pick-wt=6): 79 [] m1_relset_1($f7(A,B),A,B).
% 4.98/5.20 ** KEPT (pick-wt=4): 80 [] v1_relat_1($f7(A,B)).
% 4.98/5.20 ** KEPT (pick-wt=4): 81 [] v1_funct_1($f7(A,B)).
% 4.98/5.20 ** KEPT (pick-wt=6): 82 [] v1_funct_2($f7(A,B),A,B).
% 4.98/5.20 ** KEPT (pick-wt=2): 83 [] l1_group_1($c6).
% 4.98/5.20 ** KEPT (pick-wt=2): 84 [] v1_group_1($c6).
% 4.98/5.20 ** KEPT (pick-wt=2): 85 [] v1_relat_1($c7).
% 4.98/5.20 ** KEPT (pick-wt=2): 86 [] v1_funct_1($c7).
% 4.98/5.20 ** KEPT (pick-wt=2): 87 [] v2_funct_1($c7).
% 4.98/5.20 ** KEPT (pick-wt=2): 88 [] v1_xboole_0($c7).
% 4.98/5.20 ** KEPT (pick-wt=2): 89 [] v1_xboole_0($c8).
% 4.98/5.20 ** KEPT (pick-wt=2): 90 [] v1_relat_1($c9).
% 4.98/5.20 ** KEPT (pick-wt=2): 91 [] v1_xboole_0($c9).
% 4.98/5.20 ** KEPT (pick-wt=2): 92 [] v1_funct_1($c9).
% 4.98/5.20 ** KEPT (pick-wt=2): 93 [] l1_group_1($c10).
% 4.98/5.20 ** KEPT (pick-wt=2): 94 [] v1_group_1($c10).
% 4.98/5.20 ** KEPT (pick-wt=6): 95 [] m1_relset_1($f8(A,B),A,B).
% 4.98/5.20 ** KEPT (pick-wt=4): 96 [] v1_relat_1($f8(A,B)).
% 4.98/5.20 ** KEPT (pick-wt=4): 97 [] v1_funct_1($f8(A,B)).
% 4.98/5.20 ** KEPT (pick-wt=2): 98 [] v1_relat_1($c12).
% 4.98/5.20 ** KEPT (pick-wt=2): 99 [] v1_funct_1($c12).
% 4.98/5.20 ** KEPT (pick-wt=2): 100 [] v2_funct_1($c12).
% 4.98/5.20 ** KEPT (pick-wt=2): 101 [] l1_group_1($c13).
% 4.98/5.20 ** KEPT (pick-wt=2): 102 [] v1_group_1($c13).
% 4.98/5.20 ** KEPT (pick-wt=2): 103 [] v2_group_1($c13).
% 4.98/5.20 ** KEPT (pick-wt=2): 104 [] v3_group_1($c13).
% 4.98/5.20 ** KEPT (pick-wt=2): 105 [] v4_group_1($c13).
% 4.98/5.20 ** KEPT (pick-wt=2): 106 [] l1_struct_0($c14).
% 4.98/5.20 ** KEPT (pick-wt=9): 108 [copy,107,flip.2] v1_xboole_0(A)|k1_funct_2(B,A)=k1_fraenkel(B,A).
% 4.98/5.20 ** KEPT (pick-wt=3): 109 [] r1_tarski(A,A).
% 4.98/5.20 Following clause subsumed by 61 during input processing: 0 [copy,61,flip.1] A=A.
% 4.98/5.20 61 back subsumes 60.
% 4.98/5.20
% 4.98/5.20 ======= end of input processing =======
% 4.98/5.20
% 4.98/5.20 =========== start of search ===========
% 4.98/5.20
% 4.98/5.20
% 4.98/5.20 Resetting weight limit to 5.
% 4.98/5.20
% 4.98/5.20
% 4.98/5.20 Resetting weight limit to 5.
% 4.98/5.20
% 4.98/5.20 sos_size=515
% 4.98/5.20
% 4.98/5.20 Search stopped because sos empty.
% 4.98/5.20
% 4.98/5.20
% 4.98/5.20 Search stopped because sos empty.
% 4.98/5.20
% 4.98/5.20 ============ end of search ============
% 4.98/5.20
% 4.98/5.20 -------------- statistics -------------
% 4.98/5.20 clauses given 637
% 4.98/5.20 clauses generated 167237
% 4.98/5.20 clauses kept 727
% 4.98/5.20 clauses forward subsumed 676
% 4.98/5.20 clauses back subsumed 11
% 4.98/5.20 Kbytes malloced 6835
% 4.98/5.20
% 4.98/5.20 ----------- times (seconds) -----------
% 4.98/5.20 user CPU time 2.77 (0 hr, 0 min, 2 sec)
% 4.98/5.20 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 4.98/5.20 wall-clock time 5 (0 hr, 0 min, 5 sec)
% 4.98/5.20
% 4.98/5.20 Process 27817 finished Wed Jul 27 05:44:38 2022
% 4.98/5.20 Otter interrupted
% 4.98/5.20 PROOF NOT FOUND
%------------------------------------------------------------------------------