TSTP Solution File: SEU443+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU443+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 13:16:17 EDT 2022
% Result : Unknown 5.17s 5.35s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU443+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 07:55:54 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.16/2.35 ----- Otter 3.3f, August 2004 -----
% 2.16/2.35 The process was started by sandbox on n026.cluster.edu,
% 2.16/2.35 Wed Jul 27 07:55:54 2022
% 2.16/2.35 The command was "./otter". The process ID is 23897.
% 2.16/2.35
% 2.16/2.35 set(prolog_style_variables).
% 2.16/2.35 set(auto).
% 2.16/2.35 dependent: set(auto1).
% 2.16/2.35 dependent: set(process_input).
% 2.16/2.35 dependent: clear(print_kept).
% 2.16/2.35 dependent: clear(print_new_demod).
% 2.16/2.35 dependent: clear(print_back_demod).
% 2.16/2.35 dependent: clear(print_back_sub).
% 2.16/2.35 dependent: set(control_memory).
% 2.16/2.35 dependent: assign(max_mem, 12000).
% 2.16/2.35 dependent: assign(pick_given_ratio, 4).
% 2.16/2.35 dependent: assign(stats_level, 1).
% 2.16/2.35 dependent: assign(max_seconds, 10800).
% 2.16/2.35 clear(print_given).
% 2.16/2.35
% 2.16/2.35 formula_list(usable).
% 2.16/2.35 all A (A=A).
% 2.16/2.35 -(all A B C (m1_subset_1(C,k1_zfmisc_1(B))-> (all D (m2_relset_1(D,A,B)-> (r1_tarski(C,k2_funct_5(D))<->r1_tarski(C,k10_relset_1(B,B,k9_relset_2(B,A,B,k6_relset_1(A,B,D),D),C))))))).
% 2.16/2.35 all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.16/2.35 all A (v1_xboole_0(A)->v1_relat_1(A)).
% 2.16/2.35 all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 2.16/2.35 all A B (k2_tarski(A,B)=k2_tarski(B,A)).
% 2.16/2.35 all A (v1_relat_1(A)-> (all B C (C=k9_relat_1(A,B)<-> (all D (r2_hidden(D,C)<-> (exists E (r2_hidden(k4_tarski(E,D),A)&r2_hidden(E,B)))))))).
% 2.16/2.35 all A B (B=k1_tarski(A)<-> (all C (r2_hidden(C,B)<->C=A))).
% 2.16/2.35 all A B (B=k2_funct_5(A)<-> (all C (r2_hidden(C,B)<-> (exists D r2_hidden(k4_tarski(D,C),A))))).
% 2.16/2.35 all A B (r1_tarski(A,B)<-> (all C (r2_hidden(C,A)->r2_hidden(C,B)))).
% 2.16/2.35 all A B (k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A))).
% 2.16/2.35 all A (v1_relat_1(A)-> (all B (v1_relat_1(B)-> (B=k4_relat_1(A)<-> (all C D (r2_hidden(k4_tarski(C,D),B)<->r2_hidden(k4_tarski(D,C),A))))))).
% 2.16/2.35 all A (v1_relat_1(A)-> (all B (v1_relat_1(B)-> (all C (v1_relat_1(C)-> (C=k5_relat_1(A,B)<-> (all D E (r2_hidden(k4_tarski(D,E),C)<-> (exists F (r2_hidden(k4_tarski(D,F),A)&r2_hidden(k4_tarski(F,E),B))))))))))).
% 2.16/2.35 all A B C D (m1_relset_1(C,A,B)->m1_subset_1(k10_relset_1(A,B,C,D),k1_zfmisc_1(B))).
% 2.16/2.35 $T.
% 2.16/2.35 $T.
% 2.16/2.35 $T.
% 2.16/2.35 $T.
% 2.16/2.35 $T.
% 2.16/2.35 $T.
% 2.16/2.35 $T.
% 2.16/2.35 all A (v1_relat_1(A)->v1_relat_1(k4_relat_1(A))).
% 2.16/2.35 $T.
% 2.16/2.35 all A B (v1_relat_1(A)&v1_relat_1(B)->v1_relat_1(k5_relat_1(A,B))).
% 2.16/2.35 all A B C (m1_relset_1(C,A,B)->m2_relset_1(k6_relset_1(A,B,C),B,A)).
% 2.16/2.35 $T.
% 2.16/2.35 all A B C D E (m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))&m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C)))->m2_relset_1(k9_relset_2(A,B,C,D,E),A,C)).
% 2.16/2.35 $T.
% 2.16/2.35 $T.
% 2.16/2.35 all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 2.16/2.35 all A B exists C m1_relset_1(C,A,B).
% 2.16/2.35 all A exists B m1_subset_1(B,A).
% 2.16/2.35 all A B exists C m2_relset_1(C,A,B).
% 2.16/2.35 all A B (v1_xboole_0(A)&v1_relat_1(B)->v1_xboole_0(k5_relat_1(B,A))&v1_relat_1(k5_relat_1(B,A))).
% 2.16/2.35 all A (v1_xboole_0(A)->v1_xboole_0(k4_relat_1(A))&v1_relat_1(k4_relat_1(A))).
% 2.16/2.35 v1_xboole_0(k1_xboole_0).
% 2.16/2.35 v1_relat_1(k1_xboole_0).
% 2.16/2.35 v3_relat_1(k1_xboole_0).
% 2.16/2.35 all A (-v1_xboole_0(k1_zfmisc_1(A))).
% 2.16/2.35 all A B v1_relat_1(k2_zfmisc_1(A,B)).
% 2.16/2.35 all A (-v1_xboole_0(k1_tarski(A))).
% 2.16/2.35 all A B (-v1_xboole_0(k2_tarski(A,B))).
% 2.16/2.35 v1_xboole_0(k1_xboole_0).
% 2.16/2.35 v1_relat_1(k1_xboole_0).
% 2.16/2.35 all A B (-v1_xboole_0(A)& -v1_xboole_0(B)-> -v1_xboole_0(k2_zfmisc_1(A,B))).
% 2.16/2.35 all A B (v1_xboole_0(A)&v1_relat_1(B)->v1_xboole_0(k5_relat_1(A,B))&v1_relat_1(k5_relat_1(A,B))).
% 2.16/2.35 all A (v1_relat_1(A)->k4_relat_1(k4_relat_1(A))=A).
% 2.16/2.35 all A B C (m1_relset_1(C,A,B)->k6_relset_1(A,B,k6_relset_1(A,B,C))=C).
% 2.16/2.35 exists A (v1_xboole_0(A)&v1_relat_1(A)).
% 2.16/2.35 all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)))).
% 2.16/2.35 exists A (-v1_xboole_0(A)&v1_relat_1(A)).
% 2.16/2.35 all A exists B (m1_subset_1(B,k1_zfmisc_1(A))&v1_xboole_0(B)).
% 2.16/2.35 exists A (v1_relat_1(A)&v3_relat_1(A)).
% 2.16/2.35 all A B C D (m1_relset_1(C,A,B)->k10_relset_1(A,B,C,D)=k9_relat_1(C,D)).
% 2.16/2.35 all A B C (m1_relset_1(C,A,B)->k6_relset_1(A,B,C)=k4_relat_1(C)).
% 2.16/2.35 all A B C D E (m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))&m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C)))->k9_relset_2(A,B,C,D,E)=k5_relat_1(D,E)).
% 2.16/2.35 all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 2.16/2.35 all A B r1_tarski(A,A).
% 2.16/2.35 all A B C (v1_relat_1(C)-> (r1_tarski(A,B)->r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B)))).
% 2.16/2.35 all A B (v1_relat_1(B)-> (all C (v1_relat_1(C)->k9_relat_1(k5_relat_1(B,C),A)=k9_relat_1(C,k9_relat_1(B,A))))).
% 2.16/2.35 all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.16/2.36 all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.16/2.36 all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.16/2.36 all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.16/2.36 all A B C (m2_relset_1(C,B,A)->k1_funct_5(C)=k10_relset_1(A,B,k6_relset_1(B,A,C),A)&k2_funct_5(C)=k10_relset_1(B,A,C,B)).
% 2.16/2.36 all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.16/2.36 all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.16/2.36 all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.16/2.36 all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.16/2.36 all A B C (v1_relat_1(C)-> (r2_hidden(A,k9_relat_1(C,k1_tarski(B)))<->r2_hidden(k4_tarski(B,A),C))).
% 2.16/2.36 end_of_list.
% 2.16/2.36
% 2.16/2.36 -------> usable clausifies to:
% 2.16/2.36
% 2.16/2.36 list(usable).
% 2.16/2.36 0 [] A=A.
% 2.16/2.36 0 [] m1_subset_1($c2,k1_zfmisc_1($c3)).
% 2.16/2.36 0 [] m2_relset_1($c1,$c4,$c3).
% 2.16/2.36 0 [] r1_tarski($c2,k2_funct_5($c1))|r1_tarski($c2,k10_relset_1($c3,$c3,k9_relset_2($c3,$c4,$c3,k6_relset_1($c4,$c3,$c1),$c1),$c2)).
% 2.16/2.36 0 [] -r1_tarski($c2,k2_funct_5($c1))| -r1_tarski($c2,k10_relset_1($c3,$c3,k9_relset_2($c3,$c4,$c3,k6_relset_1($c4,$c3,$c1),$c1),$c2)).
% 2.16/2.36 0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.16/2.36 0 [] -v1_xboole_0(A)|v1_relat_1(A).
% 2.16/2.36 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 2.16/2.36 0 [] k2_tarski(A,B)=k2_tarski(B,A).
% 2.16/2.36 0 [] -v1_relat_1(A)|C!=k9_relat_1(A,B)| -r2_hidden(D,C)|r2_hidden(k4_tarski($f1(A,B,C,D),D),A).
% 2.16/2.36 0 [] -v1_relat_1(A)|C!=k9_relat_1(A,B)| -r2_hidden(D,C)|r2_hidden($f1(A,B,C,D),B).
% 2.16/2.36 0 [] -v1_relat_1(A)|C!=k9_relat_1(A,B)|r2_hidden(D,C)| -r2_hidden(k4_tarski(E,D),A)| -r2_hidden(E,B).
% 2.16/2.36 0 [] -v1_relat_1(A)|C=k9_relat_1(A,B)|r2_hidden($f3(A,B,C),C)|r2_hidden(k4_tarski($f2(A,B,C),$f3(A,B,C)),A).
% 2.16/2.36 0 [] -v1_relat_1(A)|C=k9_relat_1(A,B)|r2_hidden($f3(A,B,C),C)|r2_hidden($f2(A,B,C),B).
% 2.16/2.36 0 [] -v1_relat_1(A)|C=k9_relat_1(A,B)| -r2_hidden($f3(A,B,C),C)| -r2_hidden(k4_tarski(X1,$f3(A,B,C)),A)| -r2_hidden(X1,B).
% 2.16/2.36 0 [] B!=k1_tarski(A)| -r2_hidden(C,B)|C=A.
% 2.16/2.36 0 [] B!=k1_tarski(A)|r2_hidden(C,B)|C!=A.
% 2.16/2.36 0 [] B=k1_tarski(A)|r2_hidden($f4(A,B),B)|$f4(A,B)=A.
% 2.16/2.36 0 [] B=k1_tarski(A)| -r2_hidden($f4(A,B),B)|$f4(A,B)!=A.
% 2.16/2.36 0 [] B!=k2_funct_5(A)| -r2_hidden(C,B)|r2_hidden(k4_tarski($f5(A,B,C),C),A).
% 2.16/2.36 0 [] B!=k2_funct_5(A)|r2_hidden(C,B)| -r2_hidden(k4_tarski(D,C),A).
% 2.16/2.36 0 [] B=k2_funct_5(A)|r2_hidden($f7(A,B),B)|r2_hidden(k4_tarski($f6(A,B),$f7(A,B)),A).
% 2.16/2.36 0 [] B=k2_funct_5(A)| -r2_hidden($f7(A,B),B)| -r2_hidden(k4_tarski(X2,$f7(A,B)),A).
% 2.16/2.36 0 [] -r1_tarski(A,B)| -r2_hidden(C,A)|r2_hidden(C,B).
% 2.16/2.36 0 [] r1_tarski(A,B)|r2_hidden($f8(A,B),A).
% 2.16/2.36 0 [] r1_tarski(A,B)| -r2_hidden($f8(A,B),B).
% 2.16/2.36 0 [] k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A)).
% 2.16/2.36 0 [] -v1_relat_1(A)| -v1_relat_1(B)|B!=k4_relat_1(A)| -r2_hidden(k4_tarski(C,D),B)|r2_hidden(k4_tarski(D,C),A).
% 2.16/2.36 0 [] -v1_relat_1(A)| -v1_relat_1(B)|B!=k4_relat_1(A)|r2_hidden(k4_tarski(C,D),B)| -r2_hidden(k4_tarski(D,C),A).
% 2.16/2.36 0 [] -v1_relat_1(A)| -v1_relat_1(B)|B=k4_relat_1(A)|r2_hidden(k4_tarski($f10(A,B),$f9(A,B)),B)|r2_hidden(k4_tarski($f9(A,B),$f10(A,B)),A).
% 2.16/2.36 0 [] -v1_relat_1(A)| -v1_relat_1(B)|B=k4_relat_1(A)| -r2_hidden(k4_tarski($f10(A,B),$f9(A,B)),B)| -r2_hidden(k4_tarski($f9(A,B),$f10(A,B)),A).
% 2.16/2.36 0 [] -v1_relat_1(A)| -v1_relat_1(B)| -v1_relat_1(C)|C!=k5_relat_1(A,B)| -r2_hidden(k4_tarski(D,E),C)|r2_hidden(k4_tarski(D,$f11(A,B,C,D,E)),A).
% 2.16/2.36 0 [] -v1_relat_1(A)| -v1_relat_1(B)| -v1_relat_1(C)|C!=k5_relat_1(A,B)| -r2_hidden(k4_tarski(D,E),C)|r2_hidden(k4_tarski($f11(A,B,C,D,E),E),B).
% 2.16/2.36 0 [] -v1_relat_1(A)| -v1_relat_1(B)| -v1_relat_1(C)|C!=k5_relat_1(A,B)|r2_hidden(k4_tarski(D,E),C)| -r2_hidden(k4_tarski(D,F),A)| -r2_hidden(k4_tarski(F,E),B).
% 2.16/2.36 0 [] -v1_relat_1(A)| -v1_relat_1(B)| -v1_relat_1(C)|C=k5_relat_1(A,B)|r2_hidden(k4_tarski($f14(A,B,C),$f13(A,B,C)),C)|r2_hidden(k4_tarski($f14(A,B,C),$f12(A,B,C)),A).
% 2.16/2.36 0 [] -v1_relat_1(A)| -v1_relat_1(B)| -v1_relat_1(C)|C=k5_relat_1(A,B)|r2_hidden(k4_tarski($f14(A,B,C),$f13(A,B,C)),C)|r2_hidden(k4_tarski($f12(A,B,C),$f13(A,B,C)),B).
% 2.16/2.36 0 [] -v1_relat_1(A)| -v1_relat_1(B)| -v1_relat_1(C)|C=k5_relat_1(A,B)| -r2_hidden(k4_tarski($f14(A,B,C),$f13(A,B,C)),C)| -r2_hidden(k4_tarski($f14(A,B,C),X3),A)| -r2_hidden(k4_tarski(X3,$f13(A,B,C)),B).
% 2.16/2.36 0 [] -m1_relset_1(C,A,B)|m1_subset_1(k10_relset_1(A,B,C,D),k1_zfmisc_1(B)).
% 2.16/2.36 0 [] $T.
% 2.16/2.36 0 [] $T.
% 2.16/2.36 0 [] $T.
% 2.16/2.36 0 [] $T.
% 2.16/2.36 0 [] $T.
% 2.16/2.36 0 [] $T.
% 2.16/2.36 0 [] $T.
% 2.16/2.36 0 [] -v1_relat_1(A)|v1_relat_1(k4_relat_1(A)).
% 2.16/2.36 0 [] $T.
% 2.16/2.36 0 [] -v1_relat_1(A)| -v1_relat_1(B)|v1_relat_1(k5_relat_1(A,B)).
% 2.16/2.36 0 [] -m1_relset_1(C,A,B)|m2_relset_1(k6_relset_1(A,B,C),B,A).
% 2.16/2.36 0 [] $T.
% 2.16/2.36 0 [] -m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))| -m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C)))|m2_relset_1(k9_relset_2(A,B,C,D,E),A,C).
% 2.16/2.36 0 [] $T.
% 2.16/2.36 0 [] $T.
% 2.16/2.36 0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 2.16/2.36 0 [] m1_relset_1($f15(A,B),A,B).
% 2.16/2.36 0 [] m1_subset_1($f16(A),A).
% 2.16/2.36 0 [] m2_relset_1($f17(A,B),A,B).
% 2.16/2.36 0 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_xboole_0(k5_relat_1(B,A)).
% 2.16/2.36 0 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_relat_1(k5_relat_1(B,A)).
% 2.16/2.36 0 [] -v1_xboole_0(A)|v1_xboole_0(k4_relat_1(A)).
% 2.16/2.36 0 [] -v1_xboole_0(A)|v1_relat_1(k4_relat_1(A)).
% 2.16/2.36 0 [] v1_xboole_0(k1_xboole_0).
% 2.16/2.36 0 [] v1_relat_1(k1_xboole_0).
% 2.16/2.36 0 [] v3_relat_1(k1_xboole_0).
% 2.16/2.36 0 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.16/2.36 0 [] v1_relat_1(k2_zfmisc_1(A,B)).
% 2.16/2.36 0 [] -v1_xboole_0(k1_tarski(A)).
% 2.16/2.36 0 [] -v1_xboole_0(k2_tarski(A,B)).
% 2.16/2.36 0 [] v1_xboole_0(k1_xboole_0).
% 2.16/2.36 0 [] v1_relat_1(k1_xboole_0).
% 2.16/2.36 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 2.16/2.36 0 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_xboole_0(k5_relat_1(A,B)).
% 2.16/2.36 0 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_relat_1(k5_relat_1(A,B)).
% 2.16/2.36 0 [] -v1_relat_1(A)|k4_relat_1(k4_relat_1(A))=A.
% 2.16/2.36 0 [] -m1_relset_1(C,A,B)|k6_relset_1(A,B,k6_relset_1(A,B,C))=C.
% 2.16/2.36 0 [] v1_xboole_0($c5).
% 2.16/2.36 0 [] v1_relat_1($c5).
% 2.16/2.36 0 [] v1_xboole_0(A)|m1_subset_1($f18(A),k1_zfmisc_1(A)).
% 2.16/2.36 0 [] v1_xboole_0(A)| -v1_xboole_0($f18(A)).
% 2.16/2.36 0 [] -v1_xboole_0($c6).
% 2.16/2.36 0 [] v1_relat_1($c6).
% 2.16/2.36 0 [] m1_subset_1($f19(A),k1_zfmisc_1(A)).
% 2.16/2.36 0 [] v1_xboole_0($f19(A)).
% 2.16/2.36 0 [] v1_relat_1($c7).
% 2.16/2.36 0 [] v3_relat_1($c7).
% 2.16/2.36 0 [] -m1_relset_1(C,A,B)|k10_relset_1(A,B,C,D)=k9_relat_1(C,D).
% 2.16/2.36 0 [] -m1_relset_1(C,A,B)|k6_relset_1(A,B,C)=k4_relat_1(C).
% 2.16/2.36 0 [] -m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))| -m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,C)))|k9_relset_2(A,B,C,D,E)=k5_relat_1(D,E).
% 2.16/2.36 0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 2.16/2.36 0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 2.16/2.36 0 [] r1_tarski(A,A).
% 2.16/2.36 0 [] -v1_relat_1(C)| -r1_tarski(A,B)|r1_tarski(k9_relat_1(C,A),k9_relat_1(C,B)).
% 2.16/2.36 0 [] -v1_relat_1(B)| -v1_relat_1(C)|k9_relat_1(k5_relat_1(B,C),A)=k9_relat_1(C,k9_relat_1(B,A)).
% 2.16/2.36 0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.16/2.36 0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.16/2.36 0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.16/2.36 0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.16/2.36 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.16/2.36 0 [] -m2_relset_1(C,B,A)|k1_funct_5(C)=k10_relset_1(A,B,k6_relset_1(B,A,C),A).
% 2.16/2.36 0 [] -m2_relset_1(C,B,A)|k2_funct_5(C)=k10_relset_1(B,A,C,B).
% 2.16/2.36 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.16/2.36 0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.16/2.36 0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.16/2.36 0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.16/2.36 0 [] -v1_relat_1(C)| -r2_hidden(A,k9_relat_1(C,k1_tarski(B)))|r2_hidden(k4_tarski(B,A),C).
% 2.16/2.36 0 [] -v1_relat_1(C)|r2_hidden(A,k9_relat_1(C,k1_tarski(B)))| -r2_hidden(k4_tarski(B,A),C).
% 2.16/2.36 end_of_list.
% 2.16/2.36
% 2.16/2.36 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 2.16/2.36
% 2.16/2.36 This ia a non-Horn set with equality. The strategy will be
% 2.16/2.36 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.16/2.36 deletion, with positive clauses in sos and nonpositive
% 2.16/2.36 clauses in usable.
% 2.16/2.36
% 2.16/2.36 dependent: set(knuth_bendix).
% 2.16/2.36 dependent: set(anl_eq).
% 2.16/2.36 dependent: set(para_from).
% 2.16/2.36 dependent: set(para_into).
% 2.16/2.36 dependent: clear(para_from_right).
% 2.16/2.36 dependent: clear(para_into_right).
% 2.16/2.36 dependent: set(para_from_vars).
% 2.16/2.36 dependent: set(eq_units_both_ways).
% 2.16/2.36 dependent: set(dynamic_demod_all).
% 2.16/2.36 dependent: set(dynamic_demod).
% 2.16/2.36 dependent: set(order_eq).
% 2.16/2.36 dependent: set(back_demod).
% 2.16/2.36 dependent: set(lrpo).
% 2.16/2.36 dependent: set(hyper_res).
% 2.16/2.36 dependent: set(unit_deletion).
% 2.16/2.36 dependent: set(factor).
% 2.16/2.36
% 2.16/2.36 ------------> process usable:
% 2.16/2.36 ** KEPT (pick-wt=19): 1 [] -r1_tarski($c2,k2_funct_5($c1))| -r1_tarski($c2,k10_relset_1($c3,$c3,k9_relset_2($c3,$c4,$c3,k6_relset_1($c4,$c3,$c1),$c1),$c2)).
% 2.16/2.36 ** KEPT (pick-wt=6): 2 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.16/2.37 ** KEPT (pick-wt=4): 3 [] -v1_xboole_0(A)|v1_relat_1(A).
% 2.16/2.37 ** KEPT (pick-wt=8): 4 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 2.16/2.37 ** KEPT (pick-wt=19): 5 [] -v1_relat_1(A)|B!=k9_relat_1(A,C)| -r2_hidden(D,B)|r2_hidden(k4_tarski($f1(A,C,B,D),D),A).
% 2.16/2.37 ** KEPT (pick-wt=17): 6 [] -v1_relat_1(A)|B!=k9_relat_1(A,C)| -r2_hidden(D,B)|r2_hidden($f1(A,C,B,D),C).
% 2.16/2.37 ** KEPT (pick-wt=18): 7 [] -v1_relat_1(A)|B!=k9_relat_1(A,C)|r2_hidden(D,B)| -r2_hidden(k4_tarski(E,D),A)| -r2_hidden(E,C).
% 2.16/2.37 ** KEPT (pick-wt=24): 8 [] -v1_relat_1(A)|B=k9_relat_1(A,C)|r2_hidden($f3(A,C,B),B)|r2_hidden(k4_tarski($f2(A,C,B),$f3(A,C,B)),A).
% 2.16/2.37 ** KEPT (pick-wt=19): 9 [] -v1_relat_1(A)|B=k9_relat_1(A,C)|r2_hidden($f3(A,C,B),B)|r2_hidden($f2(A,C,B),C).
% 2.16/2.37 ** KEPT (pick-wt=24): 10 [] -v1_relat_1(A)|B=k9_relat_1(A,C)| -r2_hidden($f3(A,C,B),B)| -r2_hidden(k4_tarski(D,$f3(A,C,B)),A)| -r2_hidden(D,C).
% 2.16/2.37 ** KEPT (pick-wt=10): 11 [] A!=k1_tarski(B)| -r2_hidden(C,A)|C=B.
% 2.16/2.37 ** KEPT (pick-wt=10): 12 [] A!=k1_tarski(B)|r2_hidden(C,A)|C!=B.
% 2.16/2.37 ** KEPT (pick-wt=14): 13 [] A=k1_tarski(B)| -r2_hidden($f4(B,A),A)|$f4(B,A)!=B.
% 2.16/2.37 ** KEPT (pick-wt=15): 14 [] A!=k2_funct_5(B)| -r2_hidden(C,A)|r2_hidden(k4_tarski($f5(B,A,C),C),B).
% 2.16/2.37 ** KEPT (pick-wt=12): 15 [] A!=k2_funct_5(B)|r2_hidden(C,A)| -r2_hidden(k4_tarski(D,C),B).
% 2.16/2.37 ** KEPT (pick-wt=16): 16 [] A=k2_funct_5(B)| -r2_hidden($f7(B,A),A)| -r2_hidden(k4_tarski(C,$f7(B,A)),B).
% 2.16/2.37 ** KEPT (pick-wt=9): 17 [] -r1_tarski(A,B)| -r2_hidden(C,A)|r2_hidden(C,B).
% 2.16/2.37 ** KEPT (pick-wt=8): 18 [] r1_tarski(A,B)| -r2_hidden($f8(A,B),B).
% 2.16/2.37 ** KEPT (pick-wt=18): 19 [] -v1_relat_1(A)| -v1_relat_1(B)|B!=k4_relat_1(A)| -r2_hidden(k4_tarski(C,D),B)|r2_hidden(k4_tarski(D,C),A).
% 2.16/2.37 ** KEPT (pick-wt=18): 20 [] -v1_relat_1(A)| -v1_relat_1(B)|B!=k4_relat_1(A)|r2_hidden(k4_tarski(C,D),B)| -r2_hidden(k4_tarski(D,C),A).
% 2.16/2.37 ** KEPT (pick-wt=26): 21 [] -v1_relat_1(A)| -v1_relat_1(B)|B=k4_relat_1(A)|r2_hidden(k4_tarski($f10(A,B),$f9(A,B)),B)|r2_hidden(k4_tarski($f9(A,B),$f10(A,B)),A).
% 2.16/2.37 ** KEPT (pick-wt=26): 22 [] -v1_relat_1(A)| -v1_relat_1(B)|B=k4_relat_1(A)| -r2_hidden(k4_tarski($f10(A,B),$f9(A,B)),B)| -r2_hidden(k4_tarski($f9(A,B),$f10(A,B)),A).
% 2.16/2.37 ** KEPT (pick-wt=26): 23 [] -v1_relat_1(A)| -v1_relat_1(B)| -v1_relat_1(C)|C!=k5_relat_1(A,B)| -r2_hidden(k4_tarski(D,E),C)|r2_hidden(k4_tarski(D,$f11(A,B,C,D,E)),A).
% 2.16/2.37 ** KEPT (pick-wt=26): 24 [] -v1_relat_1(A)| -v1_relat_1(B)| -v1_relat_1(C)|C!=k5_relat_1(A,B)| -r2_hidden(k4_tarski(D,E),C)|r2_hidden(k4_tarski($f11(A,B,C,D,E),E),B).
% 2.16/2.37 ** KEPT (pick-wt=26): 25 [] -v1_relat_1(A)| -v1_relat_1(B)| -v1_relat_1(C)|C!=k5_relat_1(A,B)|r2_hidden(k4_tarski(D,E),C)| -r2_hidden(k4_tarski(D,F),A)| -r2_hidden(k4_tarski(F,E),B).
% 2.16/2.37 ** KEPT (pick-wt=33): 26 [] -v1_relat_1(A)| -v1_relat_1(B)| -v1_relat_1(C)|C=k5_relat_1(A,B)|r2_hidden(k4_tarski($f14(A,B,C),$f13(A,B,C)),C)|r2_hidden(k4_tarski($f14(A,B,C),$f12(A,B,C)),A).
% 2.16/2.37 ** KEPT (pick-wt=33): 27 [] -v1_relat_1(A)| -v1_relat_1(B)| -v1_relat_1(C)|C=k5_relat_1(A,B)|r2_hidden(k4_tarski($f14(A,B,C),$f13(A,B,C)),C)|r2_hidden(k4_tarski($f12(A,B,C),$f13(A,B,C)),B).
% 2.16/2.37 ** KEPT (pick-wt=38): 28 [] -v1_relat_1(A)| -v1_relat_1(B)| -v1_relat_1(C)|C=k5_relat_1(A,B)| -r2_hidden(k4_tarski($f14(A,B,C),$f13(A,B,C)),C)| -r2_hidden(k4_tarski($f14(A,B,C),D),A)| -r2_hidden(k4_tarski(D,$f13(A,B,C)),B).
% 2.16/2.37 ** KEPT (pick-wt=12): 29 [] -m1_relset_1(A,B,C)|m1_subset_1(k10_relset_1(B,C,A,D),k1_zfmisc_1(C)).
% 2.16/2.37 ** KEPT (pick-wt=5): 30 [] -v1_relat_1(A)|v1_relat_1(k4_relat_1(A)).
% 2.16/2.37 ** KEPT (pick-wt=8): 31 [] -v1_relat_1(A)| -v1_relat_1(B)|v1_relat_1(k5_relat_1(A,B)).
% 2.16/2.37 ** KEPT (pick-wt=11): 32 [] -m1_relset_1(A,B,C)|m2_relset_1(k6_relset_1(B,C,A),C,B).
% 2.16/2.37 ** KEPT (pick-wt=21): 33 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))| -m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,E)))|m2_relset_1(k9_relset_2(B,C,E,A,D),B,E).
% 2.16/2.37 ** KEPT (pick-wt=10): 34 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 2.16/2.37 ** KEPT (pick-wt=8): 35 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_xboole_0(k5_relat_1(B,A)).
% 2.16/2.37 ** KEPT (pick-wt=8): 36 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_relat_1(k5_relat_1(B,A)).
% 2.16/2.37 ** KEPT (pick-wt=5): 37 [] -v1_xboole_0(A)|v1_xboole_0(k4_relat_1(A)).
% 2.16/2.37 ** KEPT (pick-wt=5): 38 [] -v1_xboole_0(A)|v1_relat_1(k4_relat_1(A)).
% 2.16/2.37 ** KEPT (pick-wt=3): 39 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.16/2.37 ** KEPT (pick-wt=3): 40 [] -v1_xboole_0(k1_tarski(A)).
% 2.16/2.37 ** KEPT (pick-wt=4): 41 [] -v1_xboole_0(k2_tarski(A,B)).
% 2.16/2.37 ** KEPT (pick-wt=8): 42 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 2.16/2.37 ** KEPT (pick-wt=8): 43 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_xboole_0(k5_relat_1(A,B)).
% 2.16/2.37 ** KEPT (pick-wt=8): 44 [] -v1_xboole_0(A)| -v1_relat_1(B)|v1_relat_1(k5_relat_1(A,B)).
% 2.16/2.37 ** KEPT (pick-wt=7): 45 [] -v1_relat_1(A)|k4_relat_1(k4_relat_1(A))=A.
% 2.16/2.37 ** KEPT (pick-wt=13): 46 [] -m1_relset_1(A,B,C)|k6_relset_1(B,C,k6_relset_1(B,C,A))=A.
% 2.16/2.37 ** KEPT (pick-wt=5): 47 [] v1_xboole_0(A)| -v1_xboole_0($f18(A)).
% 2.16/2.37 ** KEPT (pick-wt=2): 48 [] -v1_xboole_0($c6).
% 2.16/2.37 ** KEPT (pick-wt=13): 49 [] -m1_relset_1(A,B,C)|k10_relset_1(B,C,A,D)=k9_relat_1(A,D).
% 2.16/2.37 ** KEPT (pick-wt=11): 50 [] -m1_relset_1(A,B,C)|k6_relset_1(B,C,A)=k4_relat_1(A).
% 2.16/2.37 ** KEPT (pick-wt=22): 51 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))| -m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(C,E)))|k9_relset_2(B,C,E,A,D)=k5_relat_1(A,D).
% 2.16/2.37 ** KEPT (pick-wt=8): 52 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 2.16/2.37 ** KEPT (pick-wt=8): 53 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 2.16/2.37 ** KEPT (pick-wt=12): 54 [] -v1_relat_1(A)| -r1_tarski(B,C)|r1_tarski(k9_relat_1(A,B),k9_relat_1(A,C)).
% 2.16/2.37 ** KEPT (pick-wt=15): 55 [] -v1_relat_1(A)| -v1_relat_1(B)|k9_relat_1(k5_relat_1(A,B),C)=k9_relat_1(B,k9_relat_1(A,C)).
% 2.16/2.37 ** KEPT (pick-wt=6): 56 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.16/2.37 ** KEPT (pick-wt=8): 57 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.16/2.37 ** KEPT (pick-wt=7): 58 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.16/2.37 ** KEPT (pick-wt=7): 59 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.16/2.37 ** KEPT (pick-wt=10): 60 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.16/2.37 ** KEPT (pick-wt=15): 61 [] -m2_relset_1(A,B,C)|k1_funct_5(A)=k10_relset_1(C,B,k6_relset_1(B,C,A),C).
% 2.16/2.37 ** KEPT (pick-wt=12): 62 [] -m2_relset_1(A,B,C)|k2_funct_5(A)=k10_relset_1(B,C,A,B).
% 2.16/2.37 ** KEPT (pick-wt=9): 63 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.16/2.37 ** KEPT (pick-wt=5): 64 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.16/2.37 ** KEPT (pick-wt=5): 65 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.16/2.37 ** KEPT (pick-wt=7): 66 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.16/2.37 ** KEPT (pick-wt=13): 67 [] -v1_relat_1(A)| -r2_hidden(B,k9_relat_1(A,k1_tarski(C)))|r2_hidden(k4_tarski(C,B),A).
% 2.16/2.37 ** KEPT (pick-wt=13): 68 [] -v1_relat_1(A)|r2_hidden(B,k9_relat_1(A,k1_tarski(C)))| -r2_hidden(k4_tarski(C,B),A).
% 2.16/2.37
% 2.16/2.37 ------------> process sos:
% 2.16/2.37 ** KEPT (pick-wt=3): 109 [] A=A.
% 2.16/2.37 ** KEPT (pick-wt=4): 110 [] m1_subset_1($c2,k1_zfmisc_1($c3)).
% 2.16/2.37 ** KEPT (pick-wt=4): 111 [] m2_relset_1($c1,$c4,$c3).
% 2.16/2.37 ** KEPT (pick-wt=19): 112 [] r1_tarski($c2,k2_funct_5($c1))|r1_tarski($c2,k10_relset_1($c3,$c3,k9_relset_2($c3,$c4,$c3,k6_relset_1($c4,$c3,$c1),$c1),$c2)).
% 2.16/2.37 ** KEPT (pick-wt=7): 113 [] k2_tarski(A,B)=k2_tarski(B,A).
% 2.16/2.37 ** KEPT (pick-wt=14): 114 [] A=k1_tarski(B)|r2_hidden($f4(B,A),A)|$f4(B,A)=B.
% 2.16/2.37 ** KEPT (pick-wt=18): 115 [] A=k2_funct_5(B)|r2_hidden($f7(B,A),A)|r2_hidden(k4_tarski($f6(B,A),$f7(B,A)),B).
% 2.16/2.37 ** KEPT (pick-wt=8): 116 [] r1_tarski(A,B)|r2_hidden($f8(A,B),A).
% 2.16/2.37 ** KEPT (pick-wt=10): 117 [] k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A)).
% 2.16/2.37 ** KEPT (pick-wt=6): 118 [] m1_relset_1($f15(A,B),A,B).
% 2.16/2.37 ** KEPT (pick-wt=4): 119 [] m1_subset_1($f16(A),A).
% 2.16/2.37 ** KEPT (pick-wt=6): 120 [] m2_relset_1($f17(A,B),A,B).
% 2.16/2.37 ** KEPT (pick-wt=2): 121 [] v1_xboole_0(k1_xboole_0).
% 2.16/2.37 ** KEPT (pick-wt=2): 122 [] v1_relat_1(k1_xboole_0).
% 2.16/2.37 ** KEPT (pick-wt=2): 123 [] v3_relat_1(k1_xboole_0).
% 2.16/2.37 ** KEPT (pick-wt=4): 124 [] v1_relat_1(k2_zfmisc_1(A,B)).
% 2.16/2.37 Following clause subsumed by 121 during input processing: 0 [] v1_xboole_0(k1_xboole_0).
% 2.16/2.37 Following clause subsumed by 122 during input processing: 0 [] v1_relat_1(k1_xboole_0).
% 2.16/2.37 ** KEPT (pick-wt=2): 125 [] v1_xboole_0($c5).
% 2.16/2.37 ** KEPT (pick-wt=2): 126 [] v1_relat_1($c5).
% 2.16/2.37 ** KEPT (pick-wt=7): 127 [] v1_xboole_0(A)|m1_subset_1($f18(A),k1_zfmisc_1(A)).
% 2.16/2.37 ** KEPT (pick-wt=2): 128 [] v1_relat_1($c6).
% 2.16/2.37 ** KEPT (pick-wt=5): 129 [] m1_subset_1($f19(A),k1_zfmisc_1(A)).
% 5.17/5.35 ** KEPT (pick-wt=3): 130 [] v1_xboole_0($f19(A)).
% 5.17/5.35 ** KEPT (pick-wt=2): 131 [] v1_relat_1($c7).
% 5.17/5.35 ** KEPT (pick-wt=2): 132 [] v3_relat_1($c7).
% 5.17/5.35 ** KEPT (pick-wt=3): 133 [] r1_tarski(A,A).
% 5.17/5.35 Following clause subsumed by 109 during input processing: 0 [copy,109,flip.1] A=A.
% 5.17/5.35 109 back subsumes 100.
% 5.17/5.35 Following clause subsumed by 113 during input processing: 0 [copy,113,flip.1] k2_tarski(A,B)=k2_tarski(B,A).
% 5.17/5.35 ** KEPT (pick-wt=10): 134 [copy,117,flip.1] k2_tarski(k2_tarski(A,B),k1_tarski(A))=k4_tarski(A,B).
% 5.17/5.35 Following clause subsumed by 117 during input processing: 0 [copy,134,flip.1] k4_tarski(A,B)=k2_tarski(k2_tarski(A,B),k1_tarski(A)).
% 5.17/5.35
% 5.17/5.35 ======= end of input processing =======
% 5.17/5.35
% 5.17/5.35 =========== start of search ===========
% 5.17/5.35
% 5.17/5.35
% 5.17/5.35 Resetting weight limit to 4.
% 5.17/5.35
% 5.17/5.35
% 5.17/5.35 Resetting weight limit to 4.
% 5.17/5.35
% 5.17/5.35 sos_size=269
% 5.17/5.35
% 5.17/5.35 Search stopped because sos empty.
% 5.17/5.35
% 5.17/5.35
% 5.17/5.35 Search stopped because sos empty.
% 5.17/5.35
% 5.17/5.35 ============ end of search ============
% 5.17/5.35
% 5.17/5.35 -------------- statistics -------------
% 5.17/5.35 clauses given 288
% 5.17/5.35 clauses generated 117864
% 5.17/5.35 clauses kept 457
% 5.17/5.35 clauses forward subsumed 538
% 5.17/5.35 clauses back subsumed 5
% 5.17/5.35 Kbytes malloced 5859
% 5.17/5.35
% 5.17/5.35 ----------- times (seconds) -----------
% 5.17/5.35 user CPU time 3.00 (0 hr, 0 min, 2 sec)
% 5.17/5.35 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 5.17/5.35 wall-clock time 5 (0 hr, 0 min, 5 sec)
% 5.17/5.35
% 5.17/5.35 Process 23897 finished Wed Jul 27 07:55:59 2022
% 5.17/5.35 Otter interrupted
% 5.17/5.35 PROOF NOT FOUND
%------------------------------------------------------------------------------