TSTP Solution File: ALG228+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ALG228+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 12:46:23 EDT 2022
% Result : Unknown 3.59s 3.82s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG228+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n026.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
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 03:50:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.35/2.56 ----- Otter 3.3f, August 2004 -----
% 2.35/2.56 The process was started by sandbox2 on n026.cluster.edu,
% 2.35/2.56 Wed Jul 27 03:50:24 2022
% 2.35/2.56 The command was "./otter". The process ID is 15452.
% 2.35/2.56
% 2.35/2.56 set(prolog_style_variables).
% 2.35/2.56 set(auto).
% 2.35/2.56 dependent: set(auto1).
% 2.35/2.56 dependent: set(process_input).
% 2.35/2.56 dependent: clear(print_kept).
% 2.35/2.56 dependent: clear(print_new_demod).
% 2.35/2.56 dependent: clear(print_back_demod).
% 2.35/2.56 dependent: clear(print_back_sub).
% 2.35/2.56 dependent: set(control_memory).
% 2.35/2.56 dependent: assign(max_mem, 12000).
% 2.35/2.56 dependent: assign(pick_given_ratio, 4).
% 2.35/2.56 dependent: assign(stats_level, 1).
% 2.35/2.56 dependent: assign(max_seconds, 10800).
% 2.35/2.56 clear(print_given).
% 2.35/2.56
% 2.35/2.56 formula_list(usable).
% 2.35/2.56 all A (A=A).
% 2.35/2.56 -(all A (-v1_xboole_0(A)-> (all B (m1_pboole(B,A)-> (all C (m1_closure2(C,A,B,k6_closure2(A,B))-> (all D (m1_subset_1(D,A)-> (all E (-(r2_hidden(E,k1_funct_1(C,D))& (all F (m1_closure2(F,A,B,k6_closure2(A,B))-> -(r2_hidden(E,k1_funct_1(F,D))&v1_pre_circ(F,A)&v1_finset_1(k1_closure3(A,F))&r2_pboole(A,F,C))))))))))))))).
% 2.35/2.56 all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.35/2.56 all A (v1_xboole_0(A)->v1_fraenkel(A)).
% 2.35/2.56 all A (v1_xboole_0(A)->v1_finset_1(A)).
% 2.35/2.56 all A (v1_xboole_0(A)->v1_funct_1(A)).
% 2.35/2.56 all A B (m1_pboole(B,A)-> (v3_relat_1(B)->v1_pre_circ(B,A))).
% 2.35/2.56 all A (-v1_xboole_0(A)-> (all B (m1_pboole(B,A)-> (v2_relat_1(B)-> -v3_relat_1(B))))).
% 2.35/2.56 all A B (m1_pboole(B,A)-> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))-> (v2_closure2(C,A,B)->v1_fraenkel(C)&v1_closure2(C,A,B))))).
% 2.35/2.56 all A (v1_finset_1(A)-> (all B (m1_subset_1(B,k1_zfmisc_1(A))->v1_finset_1(B)))).
% 2.35/2.56 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)).
% 2.35/2.56 all A B (v1_pre_circ(B,A)&m1_pboole(B,A)-> (all C (m4_pboole(C,A,B)->v1_pre_circ(C,A)))).
% 2.35/2.56 all A (-v1_xboole_0(A)-> (all B (m1_pboole(B,A)-> (v3_relat_1(B)-> -v2_relat_1(B))))).
% 2.35/2.56 all A B (m1_pboole(B,A)-> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))-> (v4_closure2(C,A,B)->v1_fraenkel(C)&v3_closure2(C,A,B))))).
% 2.35/2.56 all A B (m1_pboole(B,A)-> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))-> (v4_closure2(C,A,B)->v1_fraenkel(C)&v5_closure2(C,A,B))))).
% 2.35/2.56 all A B (m1_pboole(B,A)-> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))-> (v5_closure2(C,A,B)-> -v1_xboole_0(C)&v1_fraenkel(C))))).
% 2.35/2.56 all A B (m1_pboole(B,A)-> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))-> (v2_closure2(C,A,B)->v1_fraenkel(C)&v6_closure2(C,A,B))))).
% 2.35/2.56 all A B (m1_pboole(B,A)-> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))-> (v6_closure2(C,A,B)-> -v1_xboole_0(C)&v1_fraenkel(C))))).
% 2.35/2.56 all A B (k2_xboole_0(A,B)=k2_xboole_0(B,A)).
% 2.35/2.56 all A B (A=B<->r1_tarski(A,B)&r1_tarski(B,A)).
% 2.35/2.56 all A B (m1_pboole(B,A)-> (all C (C=k1_closure2(A,B)<-> (all D (r2_hidden(D,C)<->m4_pboole(D,A,B)))))).
% 2.35/2.56 all A (v1_relat_1(A)&v1_funct_1(A)-> (all B (v1_relat_1(B)&v1_funct_1(B)-> (all C (v1_relat_1(C)&v1_funct_1(C)-> (C=k1_funct_4(A,B)<->k1_relat_1(C)=k2_xboole_0(k1_relat_1(A),k1_relat_1(B))& (all D (r2_hidden(D,k2_xboole_0(k1_relat_1(A),k1_relat_1(B)))-> (r2_hidden(D,k1_relat_1(B))->k1_funct_1(C,D)=k1_funct_1(B,D))& (-r2_hidden(D,k1_relat_1(B))->k1_funct_1(C,D)=k1_funct_1(A,D)))))))))).
% 2.35/2.56 all A B (B=k1_tarski(A)<-> (all C (r2_hidden(C,B)<->C=A))).
% 2.35/2.56 all A B (m1_pboole(B,A)-> (all C (m1_pboole(C,A)-> (m4_pboole(C,A,B)<->r2_pboole(A,C,B))))).
% 2.35/2.56 all A (-v1_xboole_0(A)-> (all B (m1_pboole(B,A)-> (all C (C=k1_closure3(A,B)<->C=a_2_0_closure3(A,B)))))).
% 2.35/2.56 all A B (v1_relat_1(B)&v1_funct_1(B)-> (m1_pboole(B,A)<->k1_relat_1(B)=A)).
% 2.35/2.56 all A B (m1_pboole(B,A)-> (v1_pre_circ(B,A)<-> (all C (r2_hidden(C,A)->v1_finset_1(k1_funct_1(B,C)))))).
% 2.35/2.56 all A B (r1_tarski(A,B)<-> (all C (r2_hidden(C,A)->r2_hidden(C,B)))).
% 2.35/2.56 all A B (m1_pboole(B,A)-> (all C (m1_pboole(C,A)-> (r2_pboole(A,B,C)<-> (all D (r2_hidden(D,A)->r1_tarski(k1_funct_1(B,D),k1_funct_1(C,D)))))))).
% 2.35/2.56 all A (k1_pboole(A)=k2_funcop_1(A,k1_xboole_0)).
% 2.35/2.56 $T.
% 2.35/2.56 $T.
% 2.35/2.56 $T.
% 2.35/2.56 all A B (v1_relat_1(A)&v1_funct_1(A)&v1_relat_1(B)&v1_funct_1(B)->v1_relat_1(k1_funct_4(A,B))&v1_funct_1(k1_funct_4(A,B))).
% 2.35/2.56 all A m1_pboole(k1_pboole(A),A).
% 2.35/2.56 $T.
% 2.35/2.56 $T.
% 2.35/2.56 $T.
% 2.35/2.56 $T.
% 2.35/2.56 $T.
% 2.35/2.56 all A B m1_pboole(k2_pre_circ(A,B),A).
% 2.35/2.56 $T.
% 2.35/2.56 $T.
% 2.35/2.56 all A B (m1_pboole(B,A)->v1_closure2(k6_closure2(A,B),A,B)&v2_closure2(k6_closure2(A,B),A,B)&v3_closure2(k6_closure2(A,B),A,B)&v4_closure2(k6_closure2(A,B),A,B)&v5_closure2(k6_closure2(A,B),A,B)&v6_closure2(k6_closure2(A,B),A,B)&m1_subset_1(k6_closure2(A,B),k1_zfmisc_1(k1_closure2(A,B)))).
% 2.35/2.57 all A B C (m1_pboole(B,A)& -v1_xboole_0(C)&m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))-> (all D (m1_closure2(D,A,B,C)->m4_pboole(D,A,B)))).
% 2.35/2.57 all A B (m1_pboole(B,A)->v1_relat_1(B)&v1_funct_1(B)).
% 2.35/2.57 $T.
% 2.35/2.57 all A B (m1_pboole(B,A)-> (all C (m4_pboole(C,A,B)->m1_pboole(C,A)))).
% 2.35/2.57 all A B C (m1_pboole(B,A)& -v1_xboole_0(C)&m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))-> (exists D m1_closure2(D,A,B,C))).
% 2.35/2.57 all A exists B m1_pboole(B,A).
% 2.35/2.57 all A exists B m1_subset_1(B,A).
% 2.35/2.57 all A B (m1_pboole(B,A)-> (exists C m4_pboole(C,A,B))).
% 2.35/2.57 all A (-v1_xboole_0(k1_tarski(A))&v1_finset_1(k1_tarski(A))).
% 2.35/2.57 all A (v1_relat_1(k1_pboole(A))&v3_relat_1(k1_pboole(A))&v1_funct_1(k1_pboole(A))&v1_pre_circ(k1_pboole(A),A)).
% 2.35/2.57 all A (-v1_xboole_0(k1_zfmisc_1(A))).
% 2.35/2.57 v1_xboole_0(k1_xboole_0).
% 2.35/2.57 all A B (m1_pboole(B,A)-> -v1_xboole_0(k1_closure2(A,B))&v1_fraenkel(k1_closure2(A,B))&v1_pralg_2(k1_closure2(A,B))).
% 2.35/2.57 all A B C (-v1_xboole_0(A)&v2_relat_1(B)&m1_pboole(B,A)&m1_subset_1(C,A)-> -v1_xboole_0(k1_funct_1(B,C))).
% 2.35/2.57 all A (-v1_xboole_0(k1_tarski(A))).
% 2.35/2.57 all A B (-v1_xboole_0(A)-> -v1_xboole_0(k2_xboole_0(A,B))).
% 2.35/2.57 all A (v1_relat_1(k1_pboole(A))&v3_relat_1(k1_pboole(A))&v1_funct_1(k1_pboole(A))).
% 2.35/2.57 all A B (-v1_xboole_0(A)-> -v1_xboole_0(k2_xboole_0(B,A))).
% 2.35/2.57 all A (v1_relat_1(A)&v2_relat_1(A)&v1_funct_1(A)->v1_setfam_1(k2_relat_1(A))).
% 2.35/2.57 all A B (v1_finset_1(A)&v1_finset_1(B)->v1_finset_1(k2_xboole_0(A,B))).
% 2.35/2.57 all A B C (-v1_xboole_0(B)&m1_pboole(C,B)-> (r2_hidden(A,a_2_0_closure3(B,C))<-> (exists D (m1_subset_1(D,B)&A=D&k1_funct_1(C,D)!=k1_xboole_0)))).
% 2.35/2.57 all A B C D (-v1_xboole_0(B)&m1_pboole(C,B)&m1_closure2(D,B,C,k6_closure2(B,C))-> (r2_hidden(A,a_3_1_closure3(B,C,D))<-> (exists E (m1_subset_1(E,B)&A=E&k1_funct_1(D,E)!=k1_xboole_0)))).
% 2.35/2.57 all A B (v1_relat_1(A)&v1_funct_1(A)&v1_relat_1(B)&v1_funct_1(B)->k1_funct_4(A,A)=A).
% 2.35/2.57 all A B (k2_xboole_0(A,A)=A).
% 2.35/2.57 exists A (v1_xboole_0(A)&v1_relat_1(A)&v1_funct_1(A)&v2_funct_1(A)&v1_finset_1(A)&v1_fraenkel(A)).
% 2.35/2.57 exists A (-v1_xboole_0(A)&v1_finset_1(A)).
% 2.35/2.57 exists A (v1_relat_1(A)&v1_funct_1(A)).
% 2.35/2.57 all A B (m1_pboole(B,A)-> (exists C (m4_pboole(C,A,B)&v1_relat_1(C)&v3_relat_1(C)&v1_funct_1(C)&v1_pre_circ(C,A)))).
% 2.35/2.57 exists A (v1_relat_1(A)&v3_relat_1(A)&v1_funct_1(A)).
% 2.35/2.57 all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)))).
% 2.35/2.57 exists A v1_xboole_0(A).
% 2.35/2.57 all A B (m1_pboole(B,A)-> (exists C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))& -v1_xboole_0(C)&v1_fraenkel(C)&v1_pralg_2(C)))).
% 2.35/2.57 exists A (v1_relat_1(A)&v1_xboole_0(A)&v1_funct_1(A)).
% 2.35/2.57 all A exists B (m1_pboole(B,A)&v1_relat_1(B)&v3_relat_1(B)&v1_funct_1(B)).
% 2.35/2.57 all A exists B (m1_subset_1(B,k1_zfmisc_1(A))&v1_xboole_0(B)).
% 2.35/2.57 exists A (-v1_xboole_0(A)).
% 2.35/2.57 all A B (m1_pboole(B,A)-> (exists C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))&v1_xboole_0(C)&v1_relat_1(C)&v1_funct_1(C)&v2_funct_1(C)&v1_finset_1(C)&v1_fraenkel(C)))).
% 2.35/2.57 all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)&v1_finset_1(B)))).
% 2.35/2.57 exists A (v1_relat_1(A)&v1_funct_1(A)&v2_funct_1(A)).
% 2.35/2.57 all A exists B (m1_pboole(B,A)&v1_relat_1(B)&v2_relat_1(B)&v1_funct_1(B)).
% 2.35/2.57 all A B (m1_pboole(B,A)-> (exists C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))& -v1_xboole_0(C)&v1_fraenkel(C)&v1_pralg_2(C)&v1_closure2(C,A,B)&v2_closure2(C,A,B)&v3_closure2(C,A,B)&v4_closure2(C,A,B)&v5_closure2(C,A,B)&v6_closure2(C,A,B)))).
% 2.35/2.57 all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)&v1_finset_1(B)))).
% 2.35/2.57 exists A (v1_relat_1(A)&v3_relat_1(A)&v1_funct_1(A)).
% 2.35/2.57 exists A (v1_relat_1(A)&v2_relat_1(A)&v1_funct_1(A)).
% 2.35/2.57 all A B (v2_relat_1(B)&m1_pboole(B,A)-> (exists C (m4_pboole(C,A,B)&v1_relat_1(C)&v2_relat_1(C)&v1_funct_1(C)))).
% 2.35/2.57 all A B (k2_pre_circ(A,B)=k2_funcop_1(A,B)).
% 2.35/2.57 all A B (m1_pboole(B,A)->k6_closure2(A,B)=k1_closure2(A,B)).
% 2.35/2.57 all A B C (m1_pboole(B,A)& -v1_xboole_0(C)&m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))-> (all D (m1_closure2(D,A,B,C)<->m1_subset_1(D,C)))).
% 2.35/2.57 all A B r1_tarski(A,A).
% 2.35/2.57 all A B C (m1_pboole(B,A)&m1_pboole(C,A)->r2_pboole(A,B,B)).
% 2.35/2.57 all A B C (r2_hidden(B,A)->k1_funct_1(k2_funcop_1(A,C),B)=C).
% 2.35/2.57 all A B (A!=k1_xboole_0->k2_relat_1(k2_funcop_1(A,B))=k1_tarski(B)).
% 2.35/2.57 all A B (v1_relat_1(B)&v1_funct_1(B)-> (all C (v1_relat_1(C)&v1_funct_1(C)-> (r2_hidden(A,k1_relat_1(B))->k1_funct_1(k1_funct_4(C,B),A)=k1_funct_1(B,A))))).
% 2.35/2.57 all A B (k1_relat_1(k2_funcop_1(A,B))=A&r1_tarski(k2_relat_1(k2_funcop_1(A,B)),k1_tarski(B))).
% 2.35/2.57 all A (k2_xboole_0(A,k1_xboole_0)=A).
% 2.35/2.57 all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.35/2.57 all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.35/2.57 all A B ((all C (r2_hidden(C,A)<->r2_hidden(C,B)))->A=B).
% 2.35/2.57 all A r1_tarski(k1_xboole_0,A).
% 2.35/2.57 all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.35/2.57 all A B (r2_hidden(A,B)->k2_xboole_0(k1_tarski(A),B)=B).
% 2.35/2.57 all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.35/2.57 all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.35/2.57 all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.35/2.57 all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.35/2.57 all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.35/2.57 end_of_list.
% 2.35/2.57
% 2.35/2.57 -------> usable clausifies to:
% 2.35/2.57
% 2.35/2.57 list(usable).
% 2.35/2.57 0 [] A=A.
% 2.35/2.57 0 [] -v1_xboole_0($c5).
% 2.35/2.57 0 [] m1_pboole($c4,$c5).
% 2.35/2.57 0 [] m1_closure2($c3,$c5,$c4,k6_closure2($c5,$c4)).
% 2.35/2.57 0 [] m1_subset_1($c2,$c5).
% 2.35/2.57 0 [] r2_hidden($c1,k1_funct_1($c3,$c2)).
% 2.35/2.57 0 [] -m1_closure2(F,$c5,$c4,k6_closure2($c5,$c4))| -r2_hidden($c1,k1_funct_1(F,$c2))| -v1_pre_circ(F,$c5)| -v1_finset_1(k1_closure3($c5,F))| -r2_pboole($c5,F,$c3).
% 2.35/2.57 0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.35/2.57 0 [] -v1_xboole_0(A)|v1_fraenkel(A).
% 2.35/2.57 0 [] -v1_xboole_0(A)|v1_finset_1(A).
% 2.35/2.57 0 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -v3_relat_1(B)|v1_pre_circ(B,A).
% 2.35/2.57 0 [] v1_xboole_0(A)| -m1_pboole(B,A)| -v2_relat_1(B)| -v3_relat_1(B).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))| -v2_closure2(C,A,B)|v1_fraenkel(C).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))| -v2_closure2(C,A,B)|v1_closure2(C,A,B).
% 2.35/2.57 0 [] -v1_finset_1(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_finset_1(B).
% 2.35/2.57 0 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.35/2.57 0 [] -v1_pre_circ(B,A)| -m1_pboole(B,A)| -m4_pboole(C,A,B)|v1_pre_circ(C,A).
% 2.35/2.57 0 [] v1_xboole_0(A)| -m1_pboole(B,A)| -v3_relat_1(B)| -v2_relat_1(B).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))| -v4_closure2(C,A,B)|v1_fraenkel(C).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))| -v4_closure2(C,A,B)|v3_closure2(C,A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))| -v4_closure2(C,A,B)|v1_fraenkel(C).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))| -v4_closure2(C,A,B)|v5_closure2(C,A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))| -v5_closure2(C,A,B)| -v1_xboole_0(C).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))| -v5_closure2(C,A,B)|v1_fraenkel(C).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))| -v2_closure2(C,A,B)|v1_fraenkel(C).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))| -v2_closure2(C,A,B)|v6_closure2(C,A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))| -v6_closure2(C,A,B)| -v1_xboole_0(C).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))| -v6_closure2(C,A,B)|v1_fraenkel(C).
% 2.35/2.57 0 [] k2_xboole_0(A,B)=k2_xboole_0(B,A).
% 2.35/2.57 0 [] A!=B|r1_tarski(A,B).
% 2.35/2.57 0 [] A!=B|r1_tarski(B,A).
% 2.35/2.57 0 [] A=B| -r1_tarski(A,B)| -r1_tarski(B,A).
% 2.35/2.57 0 [] -m1_pboole(B,A)|C!=k1_closure2(A,B)| -r2_hidden(D,C)|m4_pboole(D,A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|C!=k1_closure2(A,B)|r2_hidden(D,C)| -m4_pboole(D,A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|C=k1_closure2(A,B)|r2_hidden($f1(A,B,C),C)|m4_pboole($f1(A,B,C),A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|C=k1_closure2(A,B)| -r2_hidden($f1(A,B,C),C)| -m4_pboole($f1(A,B,C),A,B).
% 2.35/2.57 0 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)| -v1_relat_1(C)| -v1_funct_1(C)|C!=k1_funct_4(A,B)|k1_relat_1(C)=k2_xboole_0(k1_relat_1(A),k1_relat_1(B)).
% 2.35/2.57 0 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)| -v1_relat_1(C)| -v1_funct_1(C)|C!=k1_funct_4(A,B)| -r2_hidden(D,k2_xboole_0(k1_relat_1(A),k1_relat_1(B)))| -r2_hidden(D,k1_relat_1(B))|k1_funct_1(C,D)=k1_funct_1(B,D).
% 2.35/2.57 0 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)| -v1_relat_1(C)| -v1_funct_1(C)|C!=k1_funct_4(A,B)| -r2_hidden(D,k2_xboole_0(k1_relat_1(A),k1_relat_1(B)))|r2_hidden(D,k1_relat_1(B))|k1_funct_1(C,D)=k1_funct_1(A,D).
% 2.35/2.57 0 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)| -v1_relat_1(C)| -v1_funct_1(C)|C=k1_funct_4(A,B)|k1_relat_1(C)!=k2_xboole_0(k1_relat_1(A),k1_relat_1(B))|r2_hidden($f2(A,B,C),k2_xboole_0(k1_relat_1(A),k1_relat_1(B))).
% 2.35/2.57 0 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)| -v1_relat_1(C)| -v1_funct_1(C)|C=k1_funct_4(A,B)|k1_relat_1(C)!=k2_xboole_0(k1_relat_1(A),k1_relat_1(B))|r2_hidden($f2(A,B,C),k1_relat_1(B))|k1_funct_1(C,$f2(A,B,C))!=k1_funct_1(A,$f2(A,B,C)).
% 2.35/2.57 0 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)| -v1_relat_1(C)| -v1_funct_1(C)|C=k1_funct_4(A,B)|k1_relat_1(C)!=k2_xboole_0(k1_relat_1(A),k1_relat_1(B))|k1_funct_1(C,$f2(A,B,C))!=k1_funct_1(B,$f2(A,B,C))| -r2_hidden($f2(A,B,C),k1_relat_1(B)).
% 2.35/2.57 0 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)| -v1_relat_1(C)| -v1_funct_1(C)|C=k1_funct_4(A,B)|k1_relat_1(C)!=k2_xboole_0(k1_relat_1(A),k1_relat_1(B))|k1_funct_1(C,$f2(A,B,C))!=k1_funct_1(B,$f2(A,B,C))|k1_funct_1(C,$f2(A,B,C))!=k1_funct_1(A,$f2(A,B,C)).
% 2.35/2.57 0 [] B!=k1_tarski(A)| -r2_hidden(C,B)|C=A.
% 2.35/2.57 0 [] B!=k1_tarski(A)|r2_hidden(C,B)|C!=A.
% 2.35/2.57 0 [] B=k1_tarski(A)|r2_hidden($f3(A,B),B)|$f3(A,B)=A.
% 2.35/2.57 0 [] B=k1_tarski(A)| -r2_hidden($f3(A,B),B)|$f3(A,B)!=A.
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_pboole(C,A)| -m4_pboole(C,A,B)|r2_pboole(A,C,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_pboole(C,A)|m4_pboole(C,A,B)| -r2_pboole(A,C,B).
% 2.35/2.57 0 [] v1_xboole_0(A)| -m1_pboole(B,A)|C!=k1_closure3(A,B)|C=a_2_0_closure3(A,B).
% 2.35/2.57 0 [] v1_xboole_0(A)| -m1_pboole(B,A)|C=k1_closure3(A,B)|C!=a_2_0_closure3(A,B).
% 2.35/2.57 0 [] -v1_relat_1(B)| -v1_funct_1(B)| -m1_pboole(B,A)|k1_relat_1(B)=A.
% 2.35/2.57 0 [] -v1_relat_1(B)| -v1_funct_1(B)|m1_pboole(B,A)|k1_relat_1(B)!=A.
% 2.35/2.57 0 [] -m1_pboole(B,A)| -v1_pre_circ(B,A)| -r2_hidden(C,A)|v1_finset_1(k1_funct_1(B,C)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_pre_circ(B,A)|r2_hidden($f4(A,B),A).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_pre_circ(B,A)| -v1_finset_1(k1_funct_1(B,$f4(A,B))).
% 2.35/2.57 0 [] -r1_tarski(A,B)| -r2_hidden(C,A)|r2_hidden(C,B).
% 2.35/2.57 0 [] r1_tarski(A,B)|r2_hidden($f5(A,B),A).
% 2.35/2.57 0 [] r1_tarski(A,B)| -r2_hidden($f5(A,B),B).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_pboole(C,A)| -r2_pboole(A,B,C)| -r2_hidden(D,A)|r1_tarski(k1_funct_1(B,D),k1_funct_1(C,D)).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_pboole(C,A)|r2_pboole(A,B,C)|r2_hidden($f6(A,B,C),A).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_pboole(C,A)|r2_pboole(A,B,C)| -r1_tarski(k1_funct_1(B,$f6(A,B,C)),k1_funct_1(C,$f6(A,B,C))).
% 2.35/2.57 0 [] k1_pboole(A)=k2_funcop_1(A,k1_xboole_0).
% 2.35/2.57 0 [] $T.
% 2.35/2.57 0 [] $T.
% 2.35/2.57 0 [] $T.
% 2.35/2.57 0 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)|v1_relat_1(k1_funct_4(A,B)).
% 2.35/2.57 0 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)|v1_funct_1(k1_funct_4(A,B)).
% 2.35/2.57 0 [] m1_pboole(k1_pboole(A),A).
% 2.35/2.57 0 [] $T.
% 2.35/2.57 0 [] $T.
% 2.35/2.57 0 [] $T.
% 2.35/2.57 0 [] $T.
% 2.35/2.57 0 [] $T.
% 2.35/2.57 0 [] m1_pboole(k2_pre_circ(A,B),A).
% 2.35/2.57 0 [] $T.
% 2.35/2.57 0 [] $T.
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_closure2(k6_closure2(A,B),A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v2_closure2(k6_closure2(A,B),A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v3_closure2(k6_closure2(A,B),A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v4_closure2(k6_closure2(A,B),A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v5_closure2(k6_closure2(A,B),A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v6_closure2(k6_closure2(A,B),A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|m1_subset_1(k6_closure2(A,B),k1_zfmisc_1(k1_closure2(A,B))).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))| -m1_closure2(D,A,B,C)|m4_pboole(D,A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_relat_1(B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_funct_1(B).
% 2.35/2.57 0 [] $T.
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m4_pboole(C,A,B)|m1_pboole(C,A).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))|m1_closure2($f7(A,B,C),A,B,C).
% 2.35/2.57 0 [] m1_pboole($f8(A),A).
% 2.35/2.57 0 [] m1_subset_1($f9(A),A).
% 2.35/2.57 0 [] -m1_pboole(B,A)|m4_pboole($f10(A,B),A,B).
% 2.35/2.57 0 [] -v1_xboole_0(k1_tarski(A)).
% 2.35/2.57 0 [] v1_finset_1(k1_tarski(A)).
% 2.35/2.57 0 [] v1_relat_1(k1_pboole(A)).
% 2.35/2.57 0 [] v3_relat_1(k1_pboole(A)).
% 2.35/2.57 0 [] v1_funct_1(k1_pboole(A)).
% 2.35/2.57 0 [] v1_pre_circ(k1_pboole(A),A).
% 2.35/2.57 0 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.35/2.57 0 [] v1_xboole_0(k1_xboole_0).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -v1_xboole_0(k1_closure2(A,B)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_fraenkel(k1_closure2(A,B)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_pralg_2(k1_closure2(A,B)).
% 2.35/2.57 0 [] v1_xboole_0(A)| -v2_relat_1(B)| -m1_pboole(B,A)| -m1_subset_1(C,A)| -v1_xboole_0(k1_funct_1(B,C)).
% 2.35/2.57 0 [] -v1_xboole_0(k1_tarski(A)).
% 2.35/2.57 0 [] v1_xboole_0(A)| -v1_xboole_0(k2_xboole_0(A,B)).
% 2.35/2.57 0 [] v1_relat_1(k1_pboole(A)).
% 2.35/2.57 0 [] v3_relat_1(k1_pboole(A)).
% 2.35/2.57 0 [] v1_funct_1(k1_pboole(A)).
% 2.35/2.57 0 [] v1_xboole_0(A)| -v1_xboole_0(k2_xboole_0(B,A)).
% 2.35/2.57 0 [] -v1_relat_1(A)| -v2_relat_1(A)| -v1_funct_1(A)|v1_setfam_1(k2_relat_1(A)).
% 2.35/2.57 0 [] -v1_finset_1(A)| -v1_finset_1(B)|v1_finset_1(k2_xboole_0(A,B)).
% 2.35/2.57 0 [] v1_xboole_0(B)| -m1_pboole(C,B)| -r2_hidden(A,a_2_0_closure3(B,C))|m1_subset_1($f11(A,B,C),B).
% 2.35/2.57 0 [] v1_xboole_0(B)| -m1_pboole(C,B)| -r2_hidden(A,a_2_0_closure3(B,C))|A=$f11(A,B,C).
% 2.35/2.57 0 [] v1_xboole_0(B)| -m1_pboole(C,B)| -r2_hidden(A,a_2_0_closure3(B,C))|k1_funct_1(C,$f11(A,B,C))!=k1_xboole_0.
% 2.35/2.57 0 [] v1_xboole_0(B)| -m1_pboole(C,B)|r2_hidden(A,a_2_0_closure3(B,C))| -m1_subset_1(D,B)|A!=D|k1_funct_1(C,D)=k1_xboole_0.
% 2.35/2.57 0 [] v1_xboole_0(B)| -m1_pboole(C,B)| -m1_closure2(D,B,C,k6_closure2(B,C))| -r2_hidden(A,a_3_1_closure3(B,C,D))|m1_subset_1($f12(A,B,C,D),B).
% 2.35/2.57 0 [] v1_xboole_0(B)| -m1_pboole(C,B)| -m1_closure2(D,B,C,k6_closure2(B,C))| -r2_hidden(A,a_3_1_closure3(B,C,D))|A=$f12(A,B,C,D).
% 2.35/2.57 0 [] v1_xboole_0(B)| -m1_pboole(C,B)| -m1_closure2(D,B,C,k6_closure2(B,C))| -r2_hidden(A,a_3_1_closure3(B,C,D))|k1_funct_1(D,$f12(A,B,C,D))!=k1_xboole_0.
% 2.35/2.57 0 [] v1_xboole_0(B)| -m1_pboole(C,B)| -m1_closure2(D,B,C,k6_closure2(B,C))|r2_hidden(A,a_3_1_closure3(B,C,D))| -m1_subset_1(E,B)|A!=E|k1_funct_1(D,E)=k1_xboole_0.
% 2.35/2.57 0 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)|k1_funct_4(A,A)=A.
% 2.35/2.57 0 [] k2_xboole_0(A,A)=A.
% 2.35/2.57 0 [] v1_xboole_0($c6).
% 2.35/2.57 0 [] v1_relat_1($c6).
% 2.35/2.57 0 [] v1_funct_1($c6).
% 2.35/2.57 0 [] v2_funct_1($c6).
% 2.35/2.57 0 [] v1_finset_1($c6).
% 2.35/2.57 0 [] v1_fraenkel($c6).
% 2.35/2.57 0 [] -v1_xboole_0($c7).
% 2.35/2.57 0 [] v1_finset_1($c7).
% 2.35/2.57 0 [] v1_relat_1($c8).
% 2.35/2.57 0 [] v1_funct_1($c8).
% 2.35/2.57 0 [] -m1_pboole(B,A)|m4_pboole($f13(A,B),A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_relat_1($f13(A,B)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v3_relat_1($f13(A,B)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_funct_1($f13(A,B)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_pre_circ($f13(A,B),A).
% 2.35/2.57 0 [] v1_relat_1($c9).
% 2.35/2.57 0 [] v3_relat_1($c9).
% 2.35/2.57 0 [] v1_funct_1($c9).
% 2.35/2.57 0 [] v1_xboole_0(A)|m1_subset_1($f14(A),k1_zfmisc_1(A)).
% 2.35/2.57 0 [] v1_xboole_0(A)| -v1_xboole_0($f14(A)).
% 2.35/2.57 0 [] v1_xboole_0($c10).
% 2.35/2.57 0 [] -m1_pboole(B,A)|m1_subset_1($f15(A,B),k1_zfmisc_1(k1_closure2(A,B))).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -v1_xboole_0($f15(A,B)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_fraenkel($f15(A,B)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_pralg_2($f15(A,B)).
% 2.35/2.57 0 [] v1_relat_1($c11).
% 2.35/2.57 0 [] v1_xboole_0($c11).
% 2.35/2.57 0 [] v1_funct_1($c11).
% 2.35/2.57 0 [] m1_pboole($f16(A),A).
% 2.35/2.57 0 [] v1_relat_1($f16(A)).
% 2.35/2.57 0 [] v3_relat_1($f16(A)).
% 2.35/2.57 0 [] v1_funct_1($f16(A)).
% 2.35/2.57 0 [] m1_subset_1($f17(A),k1_zfmisc_1(A)).
% 2.35/2.57 0 [] v1_xboole_0($f17(A)).
% 2.35/2.57 0 [] -v1_xboole_0($c12).
% 2.35/2.57 0 [] -m1_pboole(B,A)|m1_subset_1($f18(A,B),k1_zfmisc_1(k1_closure2(A,B))).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_xboole_0($f18(A,B)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_relat_1($f18(A,B)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_funct_1($f18(A,B)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v2_funct_1($f18(A,B)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_finset_1($f18(A,B)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_fraenkel($f18(A,B)).
% 2.35/2.57 0 [] v1_xboole_0(A)|m1_subset_1($f19(A),k1_zfmisc_1(A)).
% 2.35/2.57 0 [] v1_xboole_0(A)| -v1_xboole_0($f19(A)).
% 2.35/2.57 0 [] v1_xboole_0(A)|v1_finset_1($f19(A)).
% 2.35/2.57 0 [] v1_relat_1($c13).
% 2.35/2.57 0 [] v1_funct_1($c13).
% 2.35/2.57 0 [] v2_funct_1($c13).
% 2.35/2.57 0 [] m1_pboole($f20(A),A).
% 2.35/2.57 0 [] v1_relat_1($f20(A)).
% 2.35/2.57 0 [] v2_relat_1($f20(A)).
% 2.35/2.57 0 [] v1_funct_1($f20(A)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|m1_subset_1($f21(A,B),k1_zfmisc_1(k1_closure2(A,B))).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -v1_xboole_0($f21(A,B)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_fraenkel($f21(A,B)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_pralg_2($f21(A,B)).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_closure2($f21(A,B),A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v2_closure2($f21(A,B),A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v3_closure2($f21(A,B),A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v4_closure2($f21(A,B),A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v5_closure2($f21(A,B),A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v6_closure2($f21(A,B),A,B).
% 2.35/2.57 0 [] v1_xboole_0(A)|m1_subset_1($f22(A),k1_zfmisc_1(A)).
% 2.35/2.57 0 [] v1_xboole_0(A)| -v1_xboole_0($f22(A)).
% 2.35/2.57 0 [] v1_xboole_0(A)|v1_finset_1($f22(A)).
% 2.35/2.57 0 [] v1_relat_1($c14).
% 2.35/2.57 0 [] v3_relat_1($c14).
% 2.35/2.57 0 [] v1_funct_1($c14).
% 2.35/2.57 0 [] v1_relat_1($c15).
% 2.35/2.57 0 [] v2_relat_1($c15).
% 2.35/2.57 0 [] v1_funct_1($c15).
% 2.35/2.57 0 [] -v2_relat_1(B)| -m1_pboole(B,A)|m4_pboole($f23(A,B),A,B).
% 2.35/2.57 0 [] -v2_relat_1(B)| -m1_pboole(B,A)|v1_relat_1($f23(A,B)).
% 2.35/2.57 0 [] -v2_relat_1(B)| -m1_pboole(B,A)|v2_relat_1($f23(A,B)).
% 2.35/2.57 0 [] -v2_relat_1(B)| -m1_pboole(B,A)|v1_funct_1($f23(A,B)).
% 2.35/2.57 0 [] k2_pre_circ(A,B)=k2_funcop_1(A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|k6_closure2(A,B)=k1_closure2(A,B).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))| -m1_closure2(D,A,B,C)|m1_subset_1(D,C).
% 2.35/2.57 0 [] -m1_pboole(B,A)|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B)))|m1_closure2(D,A,B,C)| -m1_subset_1(D,C).
% 2.35/2.57 0 [] r1_tarski(A,A).
% 2.35/2.57 0 [] -m1_pboole(B,A)| -m1_pboole(C,A)|r2_pboole(A,B,B).
% 2.35/2.57 0 [] -r2_hidden(B,A)|k1_funct_1(k2_funcop_1(A,C),B)=C.
% 2.35/2.57 0 [] A=k1_xboole_0|k2_relat_1(k2_funcop_1(A,B))=k1_tarski(B).
% 2.35/2.57 0 [] -v1_relat_1(B)| -v1_funct_1(B)| -v1_relat_1(C)| -v1_funct_1(C)| -r2_hidden(A,k1_relat_1(B))|k1_funct_1(k1_funct_4(C,B),A)=k1_funct_1(B,A).
% 2.35/2.57 0 [] k1_relat_1(k2_funcop_1(A,B))=A.
% 2.35/2.57 0 [] r1_tarski(k2_relat_1(k2_funcop_1(A,B)),k1_tarski(B)).
% 2.35/2.57 0 [] k2_xboole_0(A,k1_xboole_0)=A.
% 2.35/2.57 0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.35/2.57 0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.35/2.57 0 [] r2_hidden($f24(A,B),A)|r2_hidden($f24(A,B),B)|A=B.
% 2.35/2.57 0 [] -r2_hidden($f24(A,B),A)| -r2_hidden($f24(A,B),B)|A=B.
% 2.35/2.57 0 [] r1_tarski(k1_xboole_0,A).
% 2.35/2.57 0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.35/2.57 0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.35/2.57 0 [] -r2_hidden(A,B)|k2_xboole_0(k1_tarski(A),B)=B.
% 2.35/2.57 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.35/2.57 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.35/2.57 0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.35/2.57 0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.35/2.57 0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.35/2.57 end_of_list.
% 2.35/2.57
% 2.35/2.57 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 2.35/2.57
% 2.35/2.57 This ia a non-Horn set with equality. The strategy will be
% 2.35/2.57 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.35/2.57 deletion, with positive clauses in sos and nonpositive
% 2.35/2.57 clauses in usable.
% 2.35/2.57
% 2.35/2.57 dependent: set(knuth_bendix).
% 2.35/2.57 dependent: set(anl_eq).
% 2.35/2.57 dependent: set(para_from).
% 2.35/2.57 dependent: set(para_into).
% 2.35/2.57 dependent: clear(para_from_right).
% 2.35/2.57 dependent: clear(para_into_right).
% 2.35/2.57 dependent: set(para_from_vars).
% 2.35/2.57 dependent: set(eq_units_both_ways).
% 2.35/2.57 dependent: set(dynamic_demod_all).
% 2.35/2.57 dependent: set(dynamic_demod).
% 2.35/2.57 dependent: set(order_eq).
% 2.35/2.57 dependent: set(back_demod).
% 2.35/2.57 dependent: set(lrpo).
% 2.35/2.57 dependent: set(hyper_res).
% 2.35/2.57 dependent: set(unit_deletion).
% 2.35/2.57 dependent: set(factor).
% 2.35/2.57
% 2.35/2.57 ------------> process usable:
% 2.35/2.57 ** KEPT (pick-wt=2): 1 [] -v1_xboole_0($c5).
% 2.35/2.57 ** KEPT (pick-wt=23): 2 [] -m1_closure2(A,$c5,$c4,k6_closure2($c5,$c4))| -r2_hidden($c1,k1_funct_1(A,$c2))| -v1_pre_circ(A,$c5)| -v1_finset_1(k1_closure3($c5,A))| -r2_pboole($c5,A,$c3).
% 2.35/2.57 ** KEPT (pick-wt=6): 3 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.35/2.57 ** KEPT (pick-wt=4): 4 [] -v1_xboole_0(A)|v1_fraenkel(A).
% 2.35/2.57 ** KEPT (pick-wt=4): 5 [] -v1_xboole_0(A)|v1_finset_1(A).
% 2.35/2.57 ** KEPT (pick-wt=4): 6 [] -v1_xboole_0(A)|v1_funct_1(A).
% 2.35/2.57 ** KEPT (pick-wt=8): 7 [] -m1_pboole(A,B)| -v3_relat_1(A)|v1_pre_circ(A,B).
% 2.35/2.57 ** KEPT (pick-wt=9): 8 [] v1_xboole_0(A)| -m1_pboole(B,A)| -v2_relat_1(B)| -v3_relat_1(B).
% 2.35/2.57 ** KEPT (pick-wt=15): 9 [] -m1_pboole(A,B)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))| -v2_closure2(C,B,A)|v1_fraenkel(C).
% 2.35/2.57 ** KEPT (pick-wt=17): 10 [] -m1_pboole(A,B)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))| -v2_closure2(C,B,A)|v1_closure2(C,B,A).
% 2.35/2.57 ** KEPT (pick-wt=8): 11 [] -v1_finset_1(A)| -m1_subset_1(B,k1_zfmisc_1(A))|v1_finset_1(B).
% 2.35/2.57 ** KEPT (pick-wt=8): 12 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 2.35/2.57 ** KEPT (pick-wt=13): 13 [] -v1_pre_circ(A,B)| -m1_pboole(A,B)| -m4_pboole(C,B,A)|v1_pre_circ(C,B).
% 2.35/2.57 Following clause subsumed by 8 during input processing: 0 [] v1_xboole_0(A)| -m1_pboole(B,A)| -v3_relat_1(B)| -v2_relat_1(B).
% 2.35/2.57 ** KEPT (pick-wt=15): 14 [] -m1_pboole(A,B)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))| -v4_closure2(C,B,A)|v1_fraenkel(C).
% 2.35/2.57 ** KEPT (pick-wt=17): 15 [] -m1_pboole(A,B)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))| -v4_closure2(C,B,A)|v3_closure2(C,B,A).
% 2.35/2.57 Following clause subsumed by 14 during input processing: 0 [] -m1_pboole(A,B)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))| -v4_closure2(C,B,A)|v1_fraenkel(C).
% 2.35/2.57 ** KEPT (pick-wt=17): 16 [] -m1_pboole(A,B)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))| -v4_closure2(C,B,A)|v5_closure2(C,B,A).
% 2.35/2.57 ** KEPT (pick-wt=15): 17 [] -m1_pboole(A,B)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))| -v5_closure2(C,B,A)| -v1_xboole_0(C).
% 2.35/2.57 ** KEPT (pick-wt=15): 18 [] -m1_pboole(A,B)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))| -v5_closure2(C,B,A)|v1_fraenkel(C).
% 2.35/2.57 Following clause subsumed by 9 during input processing: 0 [] -m1_pboole(A,B)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))| -v2_closure2(C,B,A)|v1_fraenkel(C).
% 2.35/2.57 ** KEPT (pick-wt=17): 19 [] -m1_pboole(A,B)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))| -v2_closure2(C,B,A)|v6_closure2(C,B,A).
% 2.35/2.57 ** KEPT (pick-wt=15): 20 [] -m1_pboole(A,B)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))| -v6_closure2(C,B,A)| -v1_xboole_0(C).
% 2.35/2.57 ** KEPT (pick-wt=15): 21 [] -m1_pboole(A,B)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))| -v6_closure2(C,B,A)|v1_fraenkel(C).
% 2.35/2.57 ** KEPT (pick-wt=6): 22 [] A!=B|r1_tarski(A,B).
% 2.35/2.57 ** KEPT (pick-wt=6): 23 [] A!=B|r1_tarski(B,A).
% 2.35/2.57 ** KEPT (pick-wt=9): 24 [] A=B| -r1_tarski(A,B)| -r1_tarski(B,A).
% 2.35/2.57 ** KEPT (pick-wt=15): 25 [] -m1_pboole(A,B)|C!=k1_closure2(B,A)| -r2_hidden(D,C)|m4_pboole(D,B,A).
% 2.35/2.57 ** KEPT (pick-wt=15): 26 [] -m1_pboole(A,B)|C!=k1_closure2(B,A)|r2_hidden(D,C)| -m4_pboole(D,B,A).
% 2.35/2.57 ** KEPT (pick-wt=21): 27 [] -m1_pboole(A,B)|C=k1_closure2(B,A)|r2_hidden($f1(B,A,C),C)|m4_pboole($f1(B,A,C),B,A).
% 2.35/2.57 ** KEPT (pick-wt=21): 28 [] -m1_pboole(A,B)|C=k1_closure2(B,A)| -r2_hidden($f1(B,A,C),C)| -m4_pboole($f1(B,A,C),B,A).
% 2.35/2.57 ** KEPT (pick-wt=25): 29 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)| -v1_relat_1(C)| -v1_funct_1(C)|C!=k1_funct_4(A,B)|k1_relat_1(C)=k2_xboole_0(k1_relat_1(A),k1_relat_1(B)).
% 2.35/2.57 ** KEPT (pick-wt=35): 30 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)| -v1_relat_1(C)| -v1_funct_1(C)|C!=k1_funct_4(A,B)| -r2_hidden(D,k2_xboole_0(k1_relat_1(A),k1_relat_1(B)))| -r2_hidden(D,k1_relat_1(B))|k1_funct_1(C,D)=k1_funct_1(B,D).
% 2.35/2.57 ** KEPT (pick-wt=35): 31 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)| -v1_relat_1(C)| -v1_funct_1(C)|C!=k1_funct_4(A,B)| -r2_hidden(D,k2_xboole_0(k1_relat_1(A),k1_relat_1(B)))|r2_hidden(D,k1_relat_1(B))|k1_funct_1(C,D)=k1_funct_1(A,D).
% 2.35/2.57 ** KEPT (pick-wt=35): 32 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)| -v1_relat_1(C)| -v1_funct_1(C)|C=k1_funct_4(A,B)|k1_relat_1(C)!=k2_xboole_0(k1_relat_1(A),k1_relat_1(B))|r2_hidden($f2(A,B,C),k2_xboole_0(k1_relat_1(A),k1_relat_1(B))).
% 2.35/2.57 ** KEPT (pick-wt=45): 33 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)| -v1_relat_1(C)| -v1_funct_1(C)|C=k1_funct_4(A,B)|k1_relat_1(C)!=k2_xboole_0(k1_relat_1(A),k1_relat_1(B))|r2_hidden($f2(A,B,C),k1_relat_1(B))|k1_funct_1(C,$f2(A,B,C))!=k1_funct_1(A,$f2(A,B,C)).
% 2.35/2.57 ** KEPT (pick-wt=45): 34 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)| -v1_relat_1(C)| -v1_funct_1(C)|C=k1_funct_4(A,B)|k1_relat_1(C)!=k2_xboole_0(k1_relat_1(A),k1_relat_1(B))|k1_funct_1(C,$f2(A,B,C))!=k1_funct_1(B,$f2(A,B,C))| -r2_hidden($f2(A,B,C),k1_relat_1(B)).
% 2.35/2.57 ** KEPT (pick-wt=51): 35 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)| -v1_relat_1(C)| -v1_funct_1(C)|C=k1_funct_4(A,B)|k1_relat_1(C)!=k2_xboole_0(k1_relat_1(A),k1_relat_1(B))|k1_funct_1(C,$f2(A,B,C))!=k1_funct_1(B,$f2(A,B,C))|k1_funct_1(C,$f2(A,B,C))!=k1_funct_1(A,$f2(A,B,C)).
% 2.35/2.57 ** KEPT (pick-wt=10): 36 [] A!=k1_tarski(B)| -r2_hidden(C,A)|C=B.
% 2.35/2.57 ** KEPT (pick-wt=10): 37 [] A!=k1_tarski(B)|r2_hidden(C,A)|C!=B.
% 2.35/2.57 ** KEPT (pick-wt=14): 38 [] A=k1_tarski(B)| -r2_hidden($f3(B,A),A)|$f3(B,A)!=B.
% 2.35/2.58 ** KEPT (pick-wt=14): 39 [] -m1_pboole(A,B)| -m1_pboole(C,B)| -m4_pboole(C,B,A)|r2_pboole(B,C,A).
% 2.35/2.58 ** KEPT (pick-wt=14): 40 [] -m1_pboole(A,B)| -m1_pboole(C,B)|m4_pboole(C,B,A)| -r2_pboole(B,C,A).
% 2.35/2.58 ** KEPT (pick-wt=15): 41 [] v1_xboole_0(A)| -m1_pboole(B,A)|C!=k1_closure3(A,B)|C=a_2_0_closure3(A,B).
% 2.35/2.58 ** KEPT (pick-wt=15): 42 [] v1_xboole_0(A)| -m1_pboole(B,A)|C=k1_closure3(A,B)|C!=a_2_0_closure3(A,B).
% 2.35/2.58 ** KEPT (pick-wt=11): 43 [] -v1_relat_1(A)| -v1_funct_1(A)| -m1_pboole(A,B)|k1_relat_1(A)=B.
% 2.35/2.58 ** KEPT (pick-wt=11): 44 [] -v1_relat_1(A)| -v1_funct_1(A)|m1_pboole(A,B)|k1_relat_1(A)!=B.
% 2.35/2.58 ** KEPT (pick-wt=13): 45 [] -m1_pboole(A,B)| -v1_pre_circ(A,B)| -r2_hidden(C,B)|v1_finset_1(k1_funct_1(A,C)).
% 2.35/2.58 ** KEPT (pick-wt=11): 46 [] -m1_pboole(A,B)|v1_pre_circ(A,B)|r2_hidden($f4(B,A),B).
% 2.35/2.58 ** KEPT (pick-wt=12): 47 [] -m1_pboole(A,B)|v1_pre_circ(A,B)| -v1_finset_1(k1_funct_1(A,$f4(B,A))).
% 2.35/2.58 ** KEPT (pick-wt=9): 48 [] -r1_tarski(A,B)| -r2_hidden(C,A)|r2_hidden(C,B).
% 2.35/2.58 ** KEPT (pick-wt=8): 49 [] r1_tarski(A,B)| -r2_hidden($f5(A,B),B).
% 2.35/2.58 ** KEPT (pick-wt=20): 50 [] -m1_pboole(A,B)| -m1_pboole(C,B)| -r2_pboole(B,A,C)| -r2_hidden(D,B)|r1_tarski(k1_funct_1(A,D),k1_funct_1(C,D)).
% 2.35/2.58 ** KEPT (pick-wt=16): 51 [] -m1_pboole(A,B)| -m1_pboole(C,B)|r2_pboole(B,A,C)|r2_hidden($f6(B,A,C),B).
% 2.35/2.58 ** KEPT (pick-wt=23): 52 [] -m1_pboole(A,B)| -m1_pboole(C,B)|r2_pboole(B,A,C)| -r1_tarski(k1_funct_1(A,$f6(B,A,C)),k1_funct_1(C,$f6(B,A,C))).
% 2.35/2.58 ** KEPT (pick-wt=12): 53 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)|v1_relat_1(k1_funct_4(A,B)).
% 2.35/2.58 ** KEPT (pick-wt=12): 54 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)|v1_funct_1(k1_funct_4(A,B)).
% 2.35/2.58 ** KEPT (pick-wt=9): 55 [] -m1_pboole(A,B)|v1_closure2(k6_closure2(B,A),B,A).
% 2.35/2.58 ** KEPT (pick-wt=9): 56 [] -m1_pboole(A,B)|v2_closure2(k6_closure2(B,A),B,A).
% 2.35/2.58 ** KEPT (pick-wt=9): 57 [] -m1_pboole(A,B)|v3_closure2(k6_closure2(B,A),B,A).
% 2.35/2.58 ** KEPT (pick-wt=9): 58 [] -m1_pboole(A,B)|v4_closure2(k6_closure2(B,A),B,A).
% 2.35/2.58 ** KEPT (pick-wt=9): 59 [] -m1_pboole(A,B)|v5_closure2(k6_closure2(B,A),B,A).
% 2.35/2.58 ** KEPT (pick-wt=9): 60 [] -m1_pboole(A,B)|v6_closure2(k6_closure2(B,A),B,A).
% 2.35/2.58 ** KEPT (pick-wt=11): 61 [] -m1_pboole(A,B)|m1_subset_1(k6_closure2(B,A),k1_zfmisc_1(k1_closure2(B,A))).
% 2.35/2.58 ** KEPT (pick-wt=20): 62 [] -m1_pboole(A,B)|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))| -m1_closure2(D,B,A,C)|m4_pboole(D,B,A).
% 2.35/2.58 ** KEPT (pick-wt=5): 63 [] -m1_pboole(A,B)|v1_relat_1(A).
% 2.35/2.58 ** KEPT (pick-wt=5): 64 [] -m1_pboole(A,B)|v1_funct_1(A).
% 2.35/2.58 ** KEPT (pick-wt=10): 65 [] -m1_pboole(A,B)| -m4_pboole(C,B,A)|m1_pboole(C,B).
% 2.35/2.58 ** KEPT (pick-wt=19): 66 [] -m1_pboole(A,B)|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))|m1_closure2($f7(B,A,C),B,A,C).
% 2.35/2.58 ** KEPT (pick-wt=9): 67 [] -m1_pboole(A,B)|m4_pboole($f10(B,A),B,A).
% 2.35/2.58 ** KEPT (pick-wt=3): 68 [] -v1_xboole_0(k1_tarski(A)).
% 2.35/2.58 ** KEPT (pick-wt=3): 69 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.35/2.58 ** KEPT (pick-wt=7): 70 [] -m1_pboole(A,B)| -v1_xboole_0(k1_closure2(B,A)).
% 2.35/2.58 ** KEPT (pick-wt=7): 71 [] -m1_pboole(A,B)|v1_fraenkel(k1_closure2(B,A)).
% 2.35/2.58 ** KEPT (pick-wt=7): 72 [] -m1_pboole(A,B)|v1_pralg_2(k1_closure2(B,A)).
% 2.35/2.58 ** KEPT (pick-wt=14): 73 [] v1_xboole_0(A)| -v2_relat_1(B)| -m1_pboole(B,A)| -m1_subset_1(C,A)| -v1_xboole_0(k1_funct_1(B,C)).
% 2.35/2.58 Following clause subsumed by 68 during input processing: 0 [] -v1_xboole_0(k1_tarski(A)).
% 2.35/2.58 ** KEPT (pick-wt=6): 74 [] v1_xboole_0(A)| -v1_xboole_0(k2_xboole_0(A,B)).
% 2.35/2.58 ** KEPT (pick-wt=6): 75 [] v1_xboole_0(A)| -v1_xboole_0(k2_xboole_0(B,A)).
% 2.35/2.58 ** KEPT (pick-wt=9): 76 [] -v1_relat_1(A)| -v2_relat_1(A)| -v1_funct_1(A)|v1_setfam_1(k2_relat_1(A)).
% 2.35/2.58 ** KEPT (pick-wt=8): 77 [] -v1_finset_1(A)| -v1_finset_1(B)|v1_finset_1(k2_xboole_0(A,B)).
% 2.35/2.58 ** KEPT (pick-wt=16): 78 [] v1_xboole_0(A)| -m1_pboole(B,A)| -r2_hidden(C,a_2_0_closure3(A,B))|m1_subset_1($f11(C,A,B),A).
% 2.35/2.58 ** KEPT (pick-wt=16): 80 [copy,79,flip.4] v1_xboole_0(A)| -m1_pboole(B,A)| -r2_hidden(C,a_2_0_closure3(A,B))|$f11(C,A,B)=C.
% 2.35/2.58 ** KEPT (pick-wt=18): 81 [] v1_xboole_0(A)| -m1_pboole(B,A)| -r2_hidden(C,a_2_0_closure3(A,B))|k1_funct_1(B,$f11(C,A,B))!=k1_xboole_0.
% 2.35/2.59 ** KEPT (pick-wt=21): 82 [] v1_xboole_0(A)| -m1_pboole(B,A)|r2_hidden(C,a_2_0_closure3(A,B))| -m1_subset_1(D,A)|C!=D|k1_funct_1(B,D)=k1_xboole_0.
% 2.35/2.59 ** KEPT (pick-wt=25): 83 [] v1_xboole_0(A)| -m1_pboole(B,A)| -m1_closure2(C,A,B,k6_closure2(A,B))| -r2_hidden(D,a_3_1_closure3(A,B,C))|m1_subset_1($f12(D,A,B,C),A).
% 2.35/2.59 ** KEPT (pick-wt=25): 85 [copy,84,flip.5] v1_xboole_0(A)| -m1_pboole(B,A)| -m1_closure2(C,A,B,k6_closure2(A,B))| -r2_hidden(D,a_3_1_closure3(A,B,C))|$f12(D,A,B,C)=D.
% 2.35/2.59 ** KEPT (pick-wt=27): 86 [] v1_xboole_0(A)| -m1_pboole(B,A)| -m1_closure2(C,A,B,k6_closure2(A,B))| -r2_hidden(D,a_3_1_closure3(A,B,C))|k1_funct_1(C,$f12(D,A,B,C))!=k1_xboole_0.
% 2.35/2.59 ** KEPT (pick-wt=29): 87 [] v1_xboole_0(A)| -m1_pboole(B,A)| -m1_closure2(C,A,B,k6_closure2(A,B))|r2_hidden(D,a_3_1_closure3(A,B,C))| -m1_subset_1(E,A)|D!=E|k1_funct_1(C,E)=k1_xboole_0.
% 2.35/2.59 ** KEPT (pick-wt=9): 89 [copy,88,factor_simp,factor_simp] -v1_relat_1(A)| -v1_funct_1(A)|k1_funct_4(A,A)=A.
% 2.35/2.59 ** KEPT (pick-wt=2): 90 [] -v1_xboole_0($c7).
% 2.35/2.59 ** KEPT (pick-wt=9): 91 [] -m1_pboole(A,B)|m4_pboole($f13(B,A),B,A).
% 2.35/2.59 ** KEPT (pick-wt=7): 92 [] -m1_pboole(A,B)|v1_relat_1($f13(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=7): 93 [] -m1_pboole(A,B)|v3_relat_1($f13(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=7): 94 [] -m1_pboole(A,B)|v1_funct_1($f13(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=8): 95 [] -m1_pboole(A,B)|v1_pre_circ($f13(B,A),B).
% 2.35/2.59 ** KEPT (pick-wt=5): 96 [] v1_xboole_0(A)| -v1_xboole_0($f14(A)).
% 2.35/2.59 ** KEPT (pick-wt=11): 97 [] -m1_pboole(A,B)|m1_subset_1($f15(B,A),k1_zfmisc_1(k1_closure2(B,A))).
% 2.35/2.59 ** KEPT (pick-wt=7): 98 [] -m1_pboole(A,B)| -v1_xboole_0($f15(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=7): 99 [] -m1_pboole(A,B)|v1_fraenkel($f15(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=7): 100 [] -m1_pboole(A,B)|v1_pralg_2($f15(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=2): 101 [] -v1_xboole_0($c12).
% 2.35/2.59 ** KEPT (pick-wt=11): 102 [] -m1_pboole(A,B)|m1_subset_1($f18(B,A),k1_zfmisc_1(k1_closure2(B,A))).
% 2.35/2.59 ** KEPT (pick-wt=7): 103 [] -m1_pboole(A,B)|v1_xboole_0($f18(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=7): 104 [] -m1_pboole(A,B)|v1_relat_1($f18(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=7): 105 [] -m1_pboole(A,B)|v1_funct_1($f18(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=7): 106 [] -m1_pboole(A,B)|v2_funct_1($f18(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=7): 107 [] -m1_pboole(A,B)|v1_finset_1($f18(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=7): 108 [] -m1_pboole(A,B)|v1_fraenkel($f18(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=5): 109 [] v1_xboole_0(A)| -v1_xboole_0($f19(A)).
% 2.35/2.59 ** KEPT (pick-wt=11): 110 [] -m1_pboole(A,B)|m1_subset_1($f21(B,A),k1_zfmisc_1(k1_closure2(B,A))).
% 2.35/2.59 ** KEPT (pick-wt=7): 111 [] -m1_pboole(A,B)| -v1_xboole_0($f21(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=7): 112 [] -m1_pboole(A,B)|v1_fraenkel($f21(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=7): 113 [] -m1_pboole(A,B)|v1_pralg_2($f21(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=9): 114 [] -m1_pboole(A,B)|v1_closure2($f21(B,A),B,A).
% 2.35/2.59 ** KEPT (pick-wt=9): 115 [] -m1_pboole(A,B)|v2_closure2($f21(B,A),B,A).
% 2.35/2.59 ** KEPT (pick-wt=9): 116 [] -m1_pboole(A,B)|v3_closure2($f21(B,A),B,A).
% 2.35/2.59 ** KEPT (pick-wt=9): 117 [] -m1_pboole(A,B)|v4_closure2($f21(B,A),B,A).
% 2.35/2.59 ** KEPT (pick-wt=9): 118 [] -m1_pboole(A,B)|v5_closure2($f21(B,A),B,A).
% 2.35/2.59 ** KEPT (pick-wt=9): 119 [] -m1_pboole(A,B)|v6_closure2($f21(B,A),B,A).
% 2.35/2.59 ** KEPT (pick-wt=5): 120 [] v1_xboole_0(A)| -v1_xboole_0($f22(A)).
% 2.35/2.59 ** KEPT (pick-wt=11): 121 [] -v2_relat_1(A)| -m1_pboole(A,B)|m4_pboole($f23(B,A),B,A).
% 2.35/2.59 ** KEPT (pick-wt=9): 122 [] -v2_relat_1(A)| -m1_pboole(A,B)|v1_relat_1($f23(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=9): 123 [] -v2_relat_1(A)| -m1_pboole(A,B)|v2_relat_1($f23(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=9): 124 [] -v2_relat_1(A)| -m1_pboole(A,B)|v1_funct_1($f23(B,A)).
% 2.35/2.59 ** KEPT (pick-wt=10): 125 [] -m1_pboole(A,B)|k6_closure2(B,A)=k1_closure2(B,A).
% 2.35/2.59 ** KEPT (pick-wt=19): 126 [] -m1_pboole(A,B)|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))| -m1_closure2(D,B,A,C)|m1_subset_1(D,C).
% 2.35/2.59 ** KEPT (pick-wt=19): 127 [] -m1_pboole(A,B)|v1_xboole_0(C)| -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A)))|m1_closure2(D,B,A,C)| -m1_subset_1(D,C).
% 2.35/2.59 ** KEPT (pick-wt=7): 129 [copy,128,factor_simp] -m1_pboole(A,B)|r2_pboole(B,A,A).
% 2.35/2.59 ** KEPT (pick-wt=10): 130 [] -r2_hidden(A,B)|k1_funct_1(k2_funcop_1(B,C),A)=C.
% 2.35/2.59 ** KEPT (pick-wt=21): 131 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)| -r2_hidden(C,k1_relat_1(A))|k1_funct_1(k1_funct_4(B,A),C)=k1_funct_1(A,C).
% 2.35/2.59 ** KEPT (pick-wt=6): 132 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.35/2.59 ** KEPT (pick-wt=8): 133 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.35/2.59 ** KEPT (pick-wt=13): 134 [] -r2_hidden($f24(A,B),A)| -r2_hidden($f24(A,B),B)|A=B.
% 2.35/2.59 ** KEPT (pick-wt=7): 135 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.35/2.59 ** KEPT (pick-wt=7): 136 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.35/2.59 ** KEPT (pick-wt=9): 137 [] -r2_hidden(A,B)|k2_xboole_0(k1_tarski(A),B)=B.
% 2.35/2.59 ** KEPT (pick-wt=10): 138 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.35/2.59 ** KEPT (pick-wt=9): 139 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.35/2.59 ** KEPT (pick-wt=5): 140 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.35/2.59 ** KEPT (pick-wt=5): 141 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.35/2.59 ** KEPT (pick-wt=7): 142 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.35/2.59 163 back subsumes 160.
% 2.35/2.59 163 back subsumes 157.
% 2.35/2.59
% 2.35/2.59 ------------> process sos:
% 2.35/2.59 ** KEPT (pick-wt=3): 178 [] A=A.
% 2.35/2.59 ** KEPT (pick-wt=3): 179 [] m1_pboole($c4,$c5).
% 2.35/2.59 ** KEPT (pick-wt=7): 180 [] m1_closure2($c3,$c5,$c4,k6_closure2($c5,$c4)).
% 2.35/2.59 ** KEPT (pick-wt=3): 181 [] m1_subset_1($c2,$c5).
% 2.35/2.59 ** KEPT (pick-wt=5): 182 [] r2_hidden($c1,k1_funct_1($c3,$c2)).
% 2.35/2.59 ** KEPT (pick-wt=7): 183 [] k2_xboole_0(A,B)=k2_xboole_0(B,A).
% 2.35/2.59 ** KEPT (pick-wt=14): 184 [] A=k1_tarski(B)|r2_hidden($f3(B,A),A)|$f3(B,A)=B.
% 2.35/2.59 ** KEPT (pick-wt=8): 185 [] r1_tarski(A,B)|r2_hidden($f5(A,B),A).
% 2.35/2.59 ** KEPT (pick-wt=6): 186 [] k1_pboole(A)=k2_funcop_1(A,k1_xboole_0).
% 2.35/2.59 ---> New Demodulator: 187 [new_demod,186] k1_pboole(A)=k2_funcop_1(A,k1_xboole_0).
% 2.35/2.59 ** KEPT (pick-wt=5): 189 [copy,188,demod,187] m1_pboole(k2_funcop_1(A,k1_xboole_0),A).
% 2.35/2.59 ** KEPT (pick-wt=5): 190 [] m1_pboole(k2_pre_circ(A,B),A).
% 2.35/2.59 ** KEPT (pick-wt=4): 191 [] m1_pboole($f8(A),A).
% 2.35/2.59 ** KEPT (pick-wt=4): 192 [] m1_subset_1($f9(A),A).
% 2.35/2.59 ** KEPT (pick-wt=3): 193 [] v1_finset_1(k1_tarski(A)).
% 2.35/2.59 ** KEPT (pick-wt=4): 195 [copy,194,demod,187] v1_relat_1(k2_funcop_1(A,k1_xboole_0)).
% 2.35/2.59 ** KEPT (pick-wt=4): 197 [copy,196,demod,187] v3_relat_1(k2_funcop_1(A,k1_xboole_0)).
% 2.35/2.59 ** KEPT (pick-wt=4): 199 [copy,198,demod,187] v1_funct_1(k2_funcop_1(A,k1_xboole_0)).
% 2.35/2.59 ** KEPT (pick-wt=5): 201 [copy,200,demod,187] v1_pre_circ(k2_funcop_1(A,k1_xboole_0),A).
% 2.35/2.59 ** KEPT (pick-wt=2): 202 [] v1_xboole_0(k1_xboole_0).
% 2.35/2.59 Following clause subsumed by 195 during input processing: 0 [demod,187] v1_relat_1(k2_funcop_1(A,k1_xboole_0)).
% 2.35/2.59 Following clause subsumed by 197 during input processing: 0 [demod,187] v3_relat_1(k2_funcop_1(A,k1_xboole_0)).
% 2.35/2.59 Following clause subsumed by 199 during input processing: 0 [demod,187] v1_funct_1(k2_funcop_1(A,k1_xboole_0)).
% 2.35/2.59 ** KEPT (pick-wt=5): 203 [] k2_xboole_0(A,A)=A.
% 2.35/2.59 ---> New Demodulator: 204 [new_demod,203] k2_xboole_0(A,A)=A.
% 2.35/2.59 ** KEPT (pick-wt=2): 205 [] v1_xboole_0($c6).
% 2.35/2.59 ** KEPT (pick-wt=2): 206 [] v1_relat_1($c6).
% 2.35/2.59 ** KEPT (pick-wt=2): 207 [] v1_funct_1($c6).
% 2.35/2.59 ** KEPT (pick-wt=2): 208 [] v2_funct_1($c6).
% 2.35/2.59 ** KEPT (pick-wt=2): 209 [] v1_finset_1($c6).
% 2.35/2.59 ** KEPT (pick-wt=2): 210 [] v1_fraenkel($c6).
% 2.35/2.59 ** KEPT (pick-wt=2): 211 [] v1_finset_1($c7).
% 2.35/2.59 ** KEPT (pick-wt=2): 212 [] v1_relat_1($c8).
% 2.35/2.59 ** KEPT (pick-wt=2): 213 [] v1_funct_1($c8).
% 2.35/2.59 ** KEPT (pick-wt=2): 214 [] v1_relat_1($c9).
% 2.35/2.59 ** KEPT (pick-wt=2): 215 [] v3_relat_1($c9).
% 2.35/2.59 ** KEPT (pick-wt=2): 216 [] v1_funct_1($c9).
% 2.35/2.59 ** KEPT (pick-wt=7): 217 [] v1_xboole_0(A)|m1_subset_1($f14(A),k1_zfmisc_1(A)).
% 2.35/2.59 ** KEPT (pick-wt=2): 218 [] v1_xboole_0($c10).
% 2.35/2.59 ** KEPT (pick-wt=2): 219 [] v1_relat_1($c11).
% 2.35/2.59 ** KEPT (pick-wt=2): 220 [] v1_xboole_0($c11).
% 2.35/2.59 ** KEPT (pick-wt=2): 221 [] v1_funct_1($c11).
% 2.35/2.59 ** KEPT (pick-wt=4): 222 [] m1_pboole($f16(A),A).
% 2.35/2.59 ** KEPT (pick-wt=3): 223 [] v1_relat_1($f16(A)).
% 2.35/2.59 ** KEPT (pick-wt=3): 224 [] v3_relat_1($f16(A)).
% 2.35/2.59 ** KEPT (pick-wt=3): 225 [] v1_funct_1($f16(A)).
% 2.35/2.59 ** KEPT (pick-wt=5): 226 [] m1_subset_1($f17(A),k1_zfmisc_1(A)).
% 2.35/2.59 ** KEPT (pick-wt=3): 227 [] v1_xboole_0($f17(A)).
% 2.35/2.59 ** KEPT (pick-wt=7): 228 [] v1_xboole_0(A)|m1_subset_1($f19(A),k1_zfmisc_1(A)).
% 2.35/2.59 ** KEPT (pick-wt=5): 229 [] v1_xboole_0(A)|v1_finset_1($f19(A)).
% 2.35/2.59 ** KEPT (pick-wt=2): 230 [] v1_relat_1($c13).
% 2.35/2.59 ** KEPT (pick-wt=2): 231 [] v1_funct_1($c13).
% 3.59/3.82 ** KEPT (pick-wt=2): 232 [] v2_funct_1($c13).
% 3.59/3.82 ** KEPT (pick-wt=4): 233 [] m1_pboole($f20(A),A).
% 3.59/3.82 ** KEPT (pick-wt=3): 234 [] v1_relat_1($f20(A)).
% 3.59/3.82 ** KEPT (pick-wt=3): 235 [] v2_relat_1($f20(A)).
% 3.59/3.82 ** KEPT (pick-wt=3): 236 [] v1_funct_1($f20(A)).
% 3.59/3.82 ** KEPT (pick-wt=7): 237 [] v1_xboole_0(A)|m1_subset_1($f22(A),k1_zfmisc_1(A)).
% 3.59/3.82 ** KEPT (pick-wt=5): 238 [] v1_xboole_0(A)|v1_finset_1($f22(A)).
% 3.59/3.82 ** KEPT (pick-wt=2): 239 [] v1_relat_1($c14).
% 3.59/3.82 ** KEPT (pick-wt=2): 240 [] v3_relat_1($c14).
% 3.59/3.82 ** KEPT (pick-wt=2): 241 [] v1_funct_1($c14).
% 3.59/3.82 ** KEPT (pick-wt=2): 242 [] v1_relat_1($c15).
% 3.59/3.82 ** KEPT (pick-wt=2): 243 [] v2_relat_1($c15).
% 3.59/3.82 ** KEPT (pick-wt=2): 244 [] v1_funct_1($c15).
% 3.59/3.82 ** KEPT (pick-wt=7): 245 [] k2_pre_circ(A,B)=k2_funcop_1(A,B).
% 3.59/3.82 ---> New Demodulator: 246 [new_demod,245] k2_pre_circ(A,B)=k2_funcop_1(A,B).
% 3.59/3.82 ** KEPT (pick-wt=3): 247 [] r1_tarski(A,A).
% 3.59/3.82 ** KEPT (pick-wt=10): 248 [] A=k1_xboole_0|k2_relat_1(k2_funcop_1(A,B))=k1_tarski(B).
% 3.59/3.82 ** KEPT (pick-wt=6): 249 [] k1_relat_1(k2_funcop_1(A,B))=A.
% 3.59/3.82 ---> New Demodulator: 250 [new_demod,249] k1_relat_1(k2_funcop_1(A,B))=A.
% 3.59/3.82 ** KEPT (pick-wt=7): 251 [] r1_tarski(k2_relat_1(k2_funcop_1(A,B)),k1_tarski(B)).
% 3.59/3.82 ** KEPT (pick-wt=5): 252 [] k2_xboole_0(A,k1_xboole_0)=A.
% 3.59/3.82 ---> New Demodulator: 253 [new_demod,252] k2_xboole_0(A,k1_xboole_0)=A.
% 3.59/3.82 ** KEPT (pick-wt=13): 254 [] r2_hidden($f24(A,B),A)|r2_hidden($f24(A,B),B)|A=B.
% 3.59/3.82 ** KEPT (pick-wt=3): 255 [] r1_tarski(k1_xboole_0,A).
% 3.59/3.82 Following clause subsumed by 178 during input processing: 0 [copy,178,flip.1] A=A.
% 3.59/3.82 178 back subsumes 177.
% 3.59/3.82 178 back subsumes 176.
% 3.59/3.82 178 back subsumes 174.
% 3.59/3.82 178 back subsumes 173.
% 3.59/3.82 178 back subsumes 152.
% 3.59/3.82 178 back subsumes 150.
% 3.59/3.82 178 back subsumes 144.
% 3.59/3.82 Following clause subsumed by 183 during input processing: 0 [copy,183,flip.1] k2_xboole_0(A,B)=k2_xboole_0(B,A).
% 3.59/3.82 >>>> Starting back demodulation with 187.
% 3.59/3.82 >>>> Starting back demodulation with 204.
% 3.59/3.82 >> back demodulating 175 with 204.
% 3.59/3.82 >> back demodulating 170 with 204.
% 3.59/3.82 >> back demodulating 163 with 204.
% 3.59/3.82 >> back demodulating 154 with 204.
% 3.59/3.82 >> back demodulating 151 with 204.
% 3.59/3.82 >> back demodulating 148 with 204.
% 3.59/3.82 >> back demodulating 145 with 204.
% 3.59/3.82 >>>> Starting back demodulation with 246.
% 3.59/3.82 >> back demodulating 190 with 246.
% 3.59/3.82 247 back subsumes 167.
% 3.59/3.82 >>>> Starting back demodulation with 250.
% 3.59/3.82 >>>> Starting back demodulation with 253.
% 3.59/3.82 260 back subsumes 189.
% 3.59/3.82
% 3.59/3.82 ======= end of input processing =======
% 3.59/3.82
% 3.59/3.82 =========== start of search ===========
% 3.59/3.82
% 3.59/3.82
% 3.59/3.82 Resetting weight limit to 3.
% 3.59/3.82
% 3.59/3.82
% 3.59/3.82 Resetting weight limit to 3.
% 3.59/3.82
% 3.59/3.82 sos_size=325
% 3.59/3.82
% 3.59/3.82 Search stopped because sos empty.
% 3.59/3.82
% 3.59/3.82
% 3.59/3.82 Search stopped because sos empty.
% 3.59/3.82
% 3.59/3.82 ============ end of search ============
% 3.59/3.82
% 3.59/3.82 -------------- statistics -------------
% 3.59/3.82 clauses given 271
% 3.59/3.82 clauses generated 31062
% 3.59/3.82 clauses kept 577
% 3.59/3.82 clauses forward subsumed 503
% 3.59/3.82 clauses back subsumed 12
% 3.59/3.82 Kbytes malloced 4882
% 3.59/3.82
% 3.59/3.82 ----------- times (seconds) -----------
% 3.59/3.82 user CPU time 1.25 (0 hr, 0 min, 1 sec)
% 3.59/3.82 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 3.59/3.82 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.59/3.82
% 3.59/3.82 Process 15452 finished Wed Jul 27 03:50:27 2022
% 3.59/3.82 Otter interrupted
% 3.59/3.82 PROOF NOT FOUND
%------------------------------------------------------------------------------