TSTP Solution File: SEU438+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU438+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n028.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 13:16:16 EDT 2022
% Result : Unknown 2.57s 2.76s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU438+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n028.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 08:06:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.00/2.20 ----- Otter 3.3f, August 2004 -----
% 2.00/2.20 The process was started by sandbox on n028.cluster.edu,
% 2.00/2.20 Wed Jul 27 08:06:49 2022
% 2.00/2.20 The command was "./otter". The process ID is 5803.
% 2.00/2.20
% 2.00/2.20 set(prolog_style_variables).
% 2.00/2.20 set(auto).
% 2.00/2.20 dependent: set(auto1).
% 2.00/2.20 dependent: set(process_input).
% 2.00/2.20 dependent: clear(print_kept).
% 2.00/2.20 dependent: clear(print_new_demod).
% 2.00/2.20 dependent: clear(print_back_demod).
% 2.00/2.20 dependent: clear(print_back_sub).
% 2.00/2.20 dependent: set(control_memory).
% 2.00/2.20 dependent: assign(max_mem, 12000).
% 2.00/2.20 dependent: assign(pick_given_ratio, 4).
% 2.00/2.20 dependent: assign(stats_level, 1).
% 2.00/2.20 dependent: assign(max_seconds, 10800).
% 2.00/2.20 clear(print_given).
% 2.00/2.20
% 2.00/2.20 formula_list(usable).
% 2.00/2.20 all A (A=A).
% 2.00/2.20 -(all A B C (m1_subset_1(C,k1_zfmisc_1(A))-> (all D (m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))-> (all E (m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(A,B)))->r1_tarski(k4_subset_1(B,k8_relset_2(A,B,C,D),k8_relset_2(A,B,C,E)),k8_relset_2(A,B,C,k4_subset_1(k2_zfmisc_1(A,B),D,E))))))))).
% 2.00/2.20 all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.00/2.20 all A (v1_xboole_0(A)->v1_relat_1(A)).
% 2.00/2.20 all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 2.00/2.20 all A B (k2_xboole_0(A,B)=k2_xboole_0(B,A)).
% 2.00/2.20 all A B C (m1_subset_1(B,k1_zfmisc_1(A))&m1_subset_1(C,k1_zfmisc_1(A))->k4_subset_1(A,B,C)=k4_subset_1(A,C,B)).
% 2.00/2.20 all A B C (C=k2_xboole_0(A,B)<-> (all D (r2_hidden(D,C)<->r2_hidden(D,A)|r2_hidden(D,B)))).
% 2.00/2.20 all A B (r1_tarski(A,B)<-> (all C (r2_hidden(C,A)->r2_hidden(C,B)))).
% 2.00/2.20 all A B C (m1_subset_1(C,k1_zfmisc_1(A))-> (all D (m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))->k7_relset_2(A,B,C,D)=k8_setfam_1(B,k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C)))))).
% 2.00/2.20 $T.
% 2.00/2.20 $T.
% 2.00/2.20 $T.
% 2.00/2.20 $T.
% 2.00/2.20 $T.
% 2.00/2.20 all A m1_e_qrel_1(k3_pua2mss1(A),A).
% 2.00/2.20 all A B C D (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))->m1_subset_1(k4_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))).
% 2.00/2.20 all A B C (m1_subset_1(B,k1_zfmisc_1(A))&m1_subset_1(C,k1_zfmisc_1(A))->m1_subset_1(k4_subset_1(A,B,C),k1_zfmisc_1(A))).
% 2.00/2.20 all A B (v1_relat_1(B)->v1_relat_1(k5_relset_2(A,B))&v1_funct_1(k5_relset_2(A,B))).
% 2.00/2.20 all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))->v1_funct_1(k6_relset_2(A,B,C))&v1_funct_2(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A))&m2_relset_1(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A))).
% 2.00/2.20 $T.
% 2.00/2.20 all A B C D (m1_subset_1(C,k1_zfmisc_1(A))&m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))->m1_subset_1(k8_relset_2(A,B,C,D),k1_zfmisc_1(B))).
% 2.00/2.20 all A B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))->m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A))).
% 2.00/2.20 $T.
% 2.00/2.20 all A B (m1_e_qrel_1(B,A)->m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))).
% 2.00/2.20 $T.
% 2.00/2.20 $T.
% 2.00/2.20 all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 2.00/2.20 all A exists B m1_e_qrel_1(B,A).
% 2.00/2.20 all A B exists C m1_relset_1(C,A,B).
% 2.00/2.20 all A exists B m1_subset_1(B,A).
% 2.00/2.20 all A B exists C m2_relset_1(C,A,B).
% 2.00/2.20 v1_xboole_0(k1_xboole_0).
% 2.00/2.20 v1_relat_1(k1_xboole_0).
% 2.00/2.20 v3_relat_1(k1_xboole_0).
% 2.00/2.20 all A (-v1_xboole_0(k1_zfmisc_1(A))).
% 2.00/2.20 all A B v1_relat_1(k2_zfmisc_1(A,B)).
% 2.00/2.20 all A B (v1_relat_1(A)&v1_relat_1(B)->v1_relat_1(k2_xboole_0(A,B))).
% 2.00/2.20 all A (-v1_xboole_0(k1_tarski(A))).
% 2.00/2.20 v1_xboole_0(k1_xboole_0).
% 2.00/2.20 v1_relat_1(k1_xboole_0).
% 2.00/2.20 all A B (-v1_xboole_0(A)& -v1_xboole_0(B)-> -v1_xboole_0(k2_zfmisc_1(A,B))).
% 2.00/2.20 all A B (k2_xboole_0(A,A)=A).
% 2.00/2.20 all A B C (m1_subset_1(B,k1_zfmisc_1(A))&m1_subset_1(C,k1_zfmisc_1(A))->k4_subset_1(A,B,B)=B).
% 2.00/2.20 exists A (v1_xboole_0(A)&v1_relat_1(A)).
% 2.00/2.20 all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)))).
% 2.00/2.20 all A B exists C (m1_relset_1(C,A,B)&v1_relat_1(C)&v1_funct_1(C)).
% 2.00/2.20 exists A (-v1_xboole_0(A)&v1_relat_1(A)).
% 2.00/2.20 all A exists B (m1_subset_1(B,k1_zfmisc_1(A))&v1_xboole_0(B)).
% 2.00/2.20 exists A (v1_relat_1(A)&v3_relat_1(A)).
% 2.00/2.20 all A B C D (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))->k4_relset_2(A,B,C,D)=k9_relat_1(C,D)).
% 2.00/2.20 all A B C (m1_subset_1(B,k1_zfmisc_1(A))&m1_subset_1(C,k1_zfmisc_1(A))->k4_subset_1(A,B,C)=k2_xboole_0(B,C)).
% 2.00/2.20 all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))->k6_relset_2(A,B,C)=k5_relset_2(B,C)).
% 2.00/2.20 all A B C D (m1_subset_1(C,k1_zfmisc_1(A))&m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))->k8_relset_2(A,B,C,D)=k7_relset_2(A,B,C,D)).
% 2.00/2.20 all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 2.00/2.20 all A B r1_tarski(A,A).
% 2.00/2.20 all A B (v1_relat_1(B)-> (all C (v1_relat_1(C)->k9_relat_1(k2_xboole_0(B,C),k1_tarski(A))=k2_xboole_0(k9_relat_1(B,k1_tarski(A)),k9_relat_1(C,k1_tarski(A)))))).
% 2.00/2.20 all A (k2_xboole_0(A,k1_xboole_0)=A).
% 2.00/2.20 all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.00/2.20 all A (-v1_xboole_0(A)-> (all B C (m1_subset_1(C,k1_zfmisc_1(B))-> (all D (m1_subset_1(D,A)-> (all E (m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A)))-> (r2_hidden(D,k8_relset_2(B,A,C,E))<-> (all F (r2_hidden(F,C)->r2_hidden(D,k9_relat_1(E,k1_tarski(F))))))))))))).
% 2.00/2.20 all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.00/2.20 all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.00/2.20 all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.00/2.20 all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.00/2.20 all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.00/2.20 all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.00/2.20 all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.00/2.20 end_of_list.
% 2.00/2.20
% 2.00/2.20 -------> usable clausifies to:
% 2.00/2.20
% 2.00/2.20 list(usable).
% 2.00/2.20 0 [] A=A.
% 2.00/2.20 0 [] m1_subset_1($c3,k1_zfmisc_1($c5)).
% 2.00/2.20 0 [] m1_subset_1($c2,k1_zfmisc_1(k2_zfmisc_1($c5,$c4))).
% 2.00/2.20 0 [] m1_subset_1($c1,k1_zfmisc_1(k2_zfmisc_1($c5,$c4))).
% 2.00/2.20 0 [] -r1_tarski(k4_subset_1($c4,k8_relset_2($c5,$c4,$c3,$c2),k8_relset_2($c5,$c4,$c3,$c1)),k8_relset_2($c5,$c4,$c3,k4_subset_1(k2_zfmisc_1($c5,$c4),$c2,$c1))).
% 2.00/2.20 0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.00/2.20 0 [] -v1_xboole_0(A)|v1_relat_1(A).
% 2.00/2.20 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 2.00/2.20 0 [] k2_xboole_0(A,B)=k2_xboole_0(B,A).
% 2.00/2.20 0 [] -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|k4_subset_1(A,B,C)=k4_subset_1(A,C,B).
% 2.00/2.20 0 [] C!=k2_xboole_0(A,B)| -r2_hidden(D,C)|r2_hidden(D,A)|r2_hidden(D,B).
% 2.00/2.20 0 [] C!=k2_xboole_0(A,B)|r2_hidden(D,C)| -r2_hidden(D,A).
% 2.00/2.20 0 [] C!=k2_xboole_0(A,B)|r2_hidden(D,C)| -r2_hidden(D,B).
% 2.00/2.20 0 [] C=k2_xboole_0(A,B)|r2_hidden($f1(A,B,C),C)|r2_hidden($f1(A,B,C),A)|r2_hidden($f1(A,B,C),B).
% 2.00/2.20 0 [] C=k2_xboole_0(A,B)| -r2_hidden($f1(A,B,C),C)| -r2_hidden($f1(A,B,C),A).
% 2.00/2.20 0 [] C=k2_xboole_0(A,B)| -r2_hidden($f1(A,B,C),C)| -r2_hidden($f1(A,B,C),B).
% 2.00/2.20 0 [] -r1_tarski(A,B)| -r2_hidden(C,A)|r2_hidden(C,B).
% 2.00/2.20 0 [] r1_tarski(A,B)|r2_hidden($f2(A,B),A).
% 2.00/2.20 0 [] r1_tarski(A,B)| -r2_hidden($f2(A,B),B).
% 2.00/2.20 0 [] -m1_subset_1(C,k1_zfmisc_1(A))| -m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))|k7_relset_2(A,B,C,D)=k8_setfam_1(B,k4_relset_2(k1_zfmisc_1(A),B,k6_relset_2(B,A,D),k3_pua2mss1(C))).
% 2.00/2.20 0 [] $T.
% 2.00/2.20 0 [] $T.
% 2.00/2.20 0 [] $T.
% 2.00/2.20 0 [] $T.
% 2.00/2.20 0 [] $T.
% 2.00/2.20 0 [] m1_e_qrel_1(k3_pua2mss1(A),A).
% 2.00/2.20 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))|m1_subset_1(k4_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))).
% 2.00/2.20 0 [] -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|m1_subset_1(k4_subset_1(A,B,C),k1_zfmisc_1(A)).
% 2.00/2.20 0 [] -v1_relat_1(B)|v1_relat_1(k5_relset_2(A,B)).
% 2.00/2.20 0 [] -v1_relat_1(B)|v1_funct_1(k5_relset_2(A,B)).
% 2.00/2.20 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))|v1_funct_1(k6_relset_2(A,B,C)).
% 2.00/2.20 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))|v1_funct_2(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A)).
% 2.00/2.20 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))|m2_relset_1(k6_relset_2(A,B,C),k1_zfmisc_1(B),k1_zfmisc_1(A)).
% 2.00/2.20 0 [] $T.
% 2.00/2.20 0 [] -m1_subset_1(C,k1_zfmisc_1(A))| -m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))|m1_subset_1(k8_relset_2(A,B,C,D),k1_zfmisc_1(B)).
% 2.00/2.20 0 [] -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))|m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A)).
% 2.00/2.20 0 [] $T.
% 2.00/2.20 0 [] -m1_e_qrel_1(B,A)|m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))).
% 2.00/2.20 0 [] $T.
% 2.00/2.20 0 [] $T.
% 2.00/2.20 0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 2.00/2.20 0 [] m1_e_qrel_1($f3(A),A).
% 2.00/2.20 0 [] m1_relset_1($f4(A,B),A,B).
% 2.00/2.20 0 [] m1_subset_1($f5(A),A).
% 2.00/2.20 0 [] m2_relset_1($f6(A,B),A,B).
% 2.00/2.20 0 [] v1_xboole_0(k1_xboole_0).
% 2.00/2.20 0 [] v1_relat_1(k1_xboole_0).
% 2.00/2.20 0 [] v3_relat_1(k1_xboole_0).
% 2.00/2.20 0 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.00/2.20 0 [] v1_relat_1(k2_zfmisc_1(A,B)).
% 2.00/2.20 0 [] -v1_relat_1(A)| -v1_relat_1(B)|v1_relat_1(k2_xboole_0(A,B)).
% 2.00/2.20 0 [] -v1_xboole_0(k1_tarski(A)).
% 2.00/2.20 0 [] v1_xboole_0(k1_xboole_0).
% 2.00/2.20 0 [] v1_relat_1(k1_xboole_0).
% 2.00/2.20 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 2.00/2.20 0 [] k2_xboole_0(A,A)=A.
% 2.00/2.20 0 [] -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|k4_subset_1(A,B,B)=B.
% 2.00/2.20 0 [] v1_xboole_0($c6).
% 2.00/2.20 0 [] v1_relat_1($c6).
% 2.00/2.20 0 [] v1_xboole_0(A)|m1_subset_1($f7(A),k1_zfmisc_1(A)).
% 2.00/2.20 0 [] v1_xboole_0(A)| -v1_xboole_0($f7(A)).
% 2.00/2.20 0 [] m1_relset_1($f8(A,B),A,B).
% 2.00/2.20 0 [] v1_relat_1($f8(A,B)).
% 2.00/2.20 0 [] v1_funct_1($f8(A,B)).
% 2.00/2.20 0 [] -v1_xboole_0($c7).
% 2.00/2.20 0 [] v1_relat_1($c7).
% 2.00/2.20 0 [] m1_subset_1($f9(A),k1_zfmisc_1(A)).
% 2.00/2.20 0 [] v1_xboole_0($f9(A)).
% 2.00/2.20 0 [] v1_relat_1($c8).
% 2.00/2.20 0 [] v3_relat_1($c8).
% 2.00/2.20 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,k1_zfmisc_1(B))))|k4_relset_2(A,B,C,D)=k9_relat_1(C,D).
% 2.00/2.20 0 [] -m1_subset_1(B,k1_zfmisc_1(A))| -m1_subset_1(C,k1_zfmisc_1(A))|k4_subset_1(A,B,C)=k2_xboole_0(B,C).
% 2.00/2.20 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A)))|k6_relset_2(A,B,C)=k5_relset_2(B,C).
% 2.00/2.20 0 [] -m1_subset_1(C,k1_zfmisc_1(A))| -m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B)))|k8_relset_2(A,B,C,D)=k7_relset_2(A,B,C,D).
% 2.00/2.20 0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 2.00/2.20 0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 2.00/2.20 0 [] r1_tarski(A,A).
% 2.00/2.20 0 [] -v1_relat_1(B)| -v1_relat_1(C)|k9_relat_1(k2_xboole_0(B,C),k1_tarski(A))=k2_xboole_0(k9_relat_1(B,k1_tarski(A)),k9_relat_1(C,k1_tarski(A))).
% 2.00/2.20 0 [] k2_xboole_0(A,k1_xboole_0)=A.
% 2.00/2.20 0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.00/2.20 0 [] v1_xboole_0(A)| -m1_subset_1(C,k1_zfmisc_1(B))| -m1_subset_1(D,A)| -m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A)))| -r2_hidden(D,k8_relset_2(B,A,C,E))| -r2_hidden(F,C)|r2_hidden(D,k9_relat_1(E,k1_tarski(F))).
% 2.00/2.20 0 [] v1_xboole_0(A)| -m1_subset_1(C,k1_zfmisc_1(B))| -m1_subset_1(D,A)| -m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A)))|r2_hidden(D,k8_relset_2(B,A,C,E))|r2_hidden($f10(A,B,C,D,E),C).
% 2.00/2.20 0 [] v1_xboole_0(A)| -m1_subset_1(C,k1_zfmisc_1(B))| -m1_subset_1(D,A)| -m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(B,A)))|r2_hidden(D,k8_relset_2(B,A,C,E))| -r2_hidden(D,k9_relat_1(E,k1_tarski($f10(A,B,C,D,E)))).
% 2.00/2.20 0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.00/2.20 0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.00/2.20 0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.00/2.20 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.00/2.20 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.00/2.20 0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.00/2.20 0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.00/2.20 0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.00/2.20 end_of_list.
% 2.00/2.20
% 2.00/2.20 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 2.00/2.20
% 2.00/2.20 This ia a non-Horn set with equality. The strategy will be
% 2.00/2.20 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.00/2.20 deletion, with positive clauses in sos and nonpositive
% 2.00/2.20 clauses in usable.
% 2.00/2.20
% 2.00/2.20 dependent: set(knuth_bendix).
% 2.00/2.20 dependent: set(anl_eq).
% 2.00/2.20 dependent: set(para_from).
% 2.00/2.20 dependent: set(para_into).
% 2.00/2.20 dependent: clear(para_from_right).
% 2.00/2.20 dependent: clear(para_into_right).
% 2.00/2.20 dependent: set(para_from_vars).
% 2.00/2.20 dependent: set(eq_units_both_ways).
% 2.00/2.20 dependent: set(dynamic_demod_all).
% 2.00/2.20 dependent: set(dynamic_demod).
% 2.00/2.20 dependent: set(order_eq).
% 2.00/2.20 dependent: set(back_demod).
% 2.00/2.20 dependent: set(lrpo).
% 2.00/2.20 dependent: set(hyper_res).
% 2.00/2.20 dependent: set(unit_deletion).
% 2.00/2.20 dependent: set(factor).
% 2.00/2.20
% 2.00/2.20 ------------> process usable:
% 2.00/2.20 ** KEPT (pick-wt=23): 1 [] -r1_tarski(k4_subset_1($c4,k8_relset_2($c5,$c4,$c3,$c2),k8_relset_2($c5,$c4,$c3,$c1)),k8_relset_2($c5,$c4,$c3,k4_subset_1(k2_zfmisc_1($c5,$c4),$c2,$c1))).
% 2.00/2.20 ** KEPT (pick-wt=6): 2 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.00/2.20 ** KEPT (pick-wt=4): 3 [] -v1_xboole_0(A)|v1_relat_1(A).
% 2.00/2.20 ** KEPT (pick-wt=8): 4 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 2.00/2.20 ** KEPT (pick-wt=17): 5 [] -m1_subset_1(A,k1_zfmisc_1(B))| -m1_subset_1(C,k1_zfmisc_1(B))|k4_subset_1(B,A,C)=k4_subset_1(B,C,A).
% 2.00/2.20 ** KEPT (pick-wt=14): 6 [] A!=k2_xboole_0(B,C)| -r2_hidden(D,A)|r2_hidden(D,B)|r2_hidden(D,C).
% 2.00/2.20 ** KEPT (pick-wt=11): 7 [] A!=k2_xboole_0(B,C)|r2_hidden(D,A)| -r2_hidden(D,B).
% 2.00/2.20 ** KEPT (pick-wt=11): 8 [] A!=k2_xboole_0(B,C)|r2_hidden(D,A)| -r2_hidden(D,C).
% 2.00/2.20 ** KEPT (pick-wt=17): 9 [] A=k2_xboole_0(B,C)| -r2_hidden($f1(B,C,A),A)| -r2_hidden($f1(B,C,A),B).
% 2.00/2.20 ** KEPT (pick-wt=17): 10 [] A=k2_xboole_0(B,C)| -r2_hidden($f1(B,C,A),A)| -r2_hidden($f1(B,C,A),C).
% 2.00/2.20 ** KEPT (pick-wt=9): 11 [] -r1_tarski(A,B)| -r2_hidden(C,A)|r2_hidden(C,B).
% 2.00/2.20 ** KEPT (pick-wt=8): 12 [] r1_tarski(A,B)| -r2_hidden($f2(A,B),B).
% 2.00/2.21 ** KEPT (pick-wt=28): 14 [copy,13,flip.3] -m1_subset_1(A,k1_zfmisc_1(B))| -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,D)))|k8_setfam_1(D,k4_relset_2(k1_zfmisc_1(B),D,k6_relset_2(D,B,C),k3_pua2mss1(A)))=k7_relset_2(B,D,A,C).
% 2.00/2.21 ** KEPT (pick-wt=16): 15 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,k1_zfmisc_1(C))))|m1_subset_1(k4_relset_2(B,C,A,D),k1_zfmisc_1(k1_zfmisc_1(C))).
% 2.00/2.21 ** KEPT (pick-wt=15): 16 [] -m1_subset_1(A,k1_zfmisc_1(B))| -m1_subset_1(C,k1_zfmisc_1(B))|m1_subset_1(k4_subset_1(B,A,C),k1_zfmisc_1(B)).
% 2.00/2.21 ** KEPT (pick-wt=6): 17 [] -v1_relat_1(A)|v1_relat_1(k5_relset_2(B,A)).
% 2.00/2.21 ** KEPT (pick-wt=6): 18 [] -v1_relat_1(A)|v1_funct_1(k5_relset_2(B,A)).
% 2.00/2.21 ** KEPT (pick-wt=11): 19 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_funct_1(k6_relset_2(C,B,A)).
% 2.00/2.21 ** KEPT (pick-wt=15): 20 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_funct_2(k6_relset_2(C,B,A),k1_zfmisc_1(B),k1_zfmisc_1(C)).
% 2.00/2.21 ** KEPT (pick-wt=15): 21 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|m2_relset_1(k6_relset_2(C,B,A),k1_zfmisc_1(B),k1_zfmisc_1(C)).
% 2.00/2.21 ** KEPT (pick-wt=18): 22 [] -m1_subset_1(A,k1_zfmisc_1(B))| -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,D)))|m1_subset_1(k8_relset_2(B,D,A,C),k1_zfmisc_1(D)).
% 2.00/2.21 ** KEPT (pick-wt=11): 23 [] -m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(B)))|m1_subset_1(k8_setfam_1(B,A),k1_zfmisc_1(B)).
% 2.00/2.21 ** KEPT (pick-wt=8): 24 [] -m1_e_qrel_1(A,B)|m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(B))).
% 2.00/2.21 ** KEPT (pick-wt=10): 25 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 2.00/2.21 ** KEPT (pick-wt=3): 26 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.00/2.21 ** KEPT (pick-wt=8): 27 [] -v1_relat_1(A)| -v1_relat_1(B)|v1_relat_1(k2_xboole_0(A,B)).
% 2.00/2.21 ** KEPT (pick-wt=3): 28 [] -v1_xboole_0(k1_tarski(A)).
% 2.00/2.21 ** KEPT (pick-wt=8): 29 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 2.00/2.21 ** KEPT (pick-wt=10): 31 [copy,30,factor_simp] -m1_subset_1(A,k1_zfmisc_1(B))|k4_subset_1(B,A,A)=A.
% 2.00/2.21 ** KEPT (pick-wt=5): 32 [] v1_xboole_0(A)| -v1_xboole_0($f7(A)).
% 2.00/2.21 ** KEPT (pick-wt=2): 33 [] -v1_xboole_0($c7).
% 2.00/2.21 ** KEPT (pick-wt=16): 34 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,k1_zfmisc_1(C))))|k4_relset_2(B,C,A,D)=k9_relat_1(A,D).
% 2.00/2.21 ** KEPT (pick-wt=16): 35 [] -m1_subset_1(A,k1_zfmisc_1(B))| -m1_subset_1(C,k1_zfmisc_1(B))|k4_subset_1(B,A,C)=k2_xboole_0(A,C).
% 2.00/2.21 ** KEPT (pick-wt=14): 36 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|k6_relset_2(C,B,A)=k5_relset_2(B,A).
% 2.00/2.21 ** KEPT (pick-wt=21): 37 [] -m1_subset_1(A,k1_zfmisc_1(B))| -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,D)))|k8_relset_2(B,D,A,C)=k7_relset_2(B,D,A,C).
% 2.00/2.21 ** KEPT (pick-wt=8): 38 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 2.00/2.21 ** KEPT (pick-wt=8): 39 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 2.00/2.21 ** KEPT (pick-wt=20): 40 [] -v1_relat_1(A)| -v1_relat_1(B)|k9_relat_1(k2_xboole_0(A,B),k1_tarski(C))=k2_xboole_0(k9_relat_1(A,k1_tarski(C)),k9_relat_1(B,k1_tarski(C))).
% 2.00/2.21 ** KEPT (pick-wt=6): 41 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.00/2.21 ** KEPT (pick-wt=31): 42 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(C))| -m1_subset_1(D,A)| -m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,A)))| -r2_hidden(D,k8_relset_2(C,A,B,E))| -r2_hidden(F,B)|r2_hidden(D,k9_relat_1(E,k1_tarski(F))).
% 2.00/2.21 ** KEPT (pick-wt=30): 43 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(C))| -m1_subset_1(D,A)| -m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,A)))|r2_hidden(D,k8_relset_2(C,A,B,E))|r2_hidden($f10(A,C,B,D,E),B).
% 2.00/2.21 ** KEPT (pick-wt=33): 44 [] v1_xboole_0(A)| -m1_subset_1(B,k1_zfmisc_1(C))| -m1_subset_1(D,A)| -m1_subset_1(E,k1_zfmisc_1(k2_zfmisc_1(C,A)))|r2_hidden(D,k8_relset_2(C,A,B,E))| -r2_hidden(D,k9_relat_1(E,k1_tarski($f10(A,C,B,D,E)))).
% 2.00/2.21 ** KEPT (pick-wt=8): 45 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.00/2.21 ** KEPT (pick-wt=7): 46 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.00/2.21 ** KEPT (pick-wt=7): 47 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.00/2.21 ** KEPT (pick-wt=10): 48 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.00/2.21 ** KEPT (pick-wt=9): 49 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.00/2.21 ** KEPT (pick-wt=5): 50 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.00/2.21 ** KEPT (pick-wt=5): 51 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.57/2.76 ** KEPT (pick-wt=7): 52 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.57/2.76
% 2.57/2.76 ------------> process sos:
% 2.57/2.76 ** KEPT (pick-wt=3): 67 [] A=A.
% 2.57/2.76 ** KEPT (pick-wt=4): 68 [] m1_subset_1($c3,k1_zfmisc_1($c5)).
% 2.57/2.76 ** KEPT (pick-wt=6): 69 [] m1_subset_1($c2,k1_zfmisc_1(k2_zfmisc_1($c5,$c4))).
% 2.57/2.76 ** KEPT (pick-wt=6): 70 [] m1_subset_1($c1,k1_zfmisc_1(k2_zfmisc_1($c5,$c4))).
% 2.57/2.76 ** KEPT (pick-wt=7): 71 [] k2_xboole_0(A,B)=k2_xboole_0(B,A).
% 2.57/2.76 ** KEPT (pick-wt=23): 72 [] A=k2_xboole_0(B,C)|r2_hidden($f1(B,C,A),A)|r2_hidden($f1(B,C,A),B)|r2_hidden($f1(B,C,A),C).
% 2.57/2.76 ** KEPT (pick-wt=8): 73 [] r1_tarski(A,B)|r2_hidden($f2(A,B),A).
% 2.57/2.76 ** KEPT (pick-wt=4): 74 [] m1_e_qrel_1(k3_pua2mss1(A),A).
% 2.57/2.76 ** KEPT (pick-wt=4): 75 [] m1_e_qrel_1($f3(A),A).
% 2.57/2.76 ** KEPT (pick-wt=6): 76 [] m1_relset_1($f4(A,B),A,B).
% 2.57/2.76 ** KEPT (pick-wt=4): 77 [] m1_subset_1($f5(A),A).
% 2.57/2.76 ** KEPT (pick-wt=6): 78 [] m2_relset_1($f6(A,B),A,B).
% 2.57/2.76 ** KEPT (pick-wt=2): 79 [] v1_xboole_0(k1_xboole_0).
% 2.57/2.76 ** KEPT (pick-wt=2): 80 [] v1_relat_1(k1_xboole_0).
% 2.57/2.76 ** KEPT (pick-wt=2): 81 [] v3_relat_1(k1_xboole_0).
% 2.57/2.76 ** KEPT (pick-wt=4): 82 [] v1_relat_1(k2_zfmisc_1(A,B)).
% 2.57/2.76 Following clause subsumed by 79 during input processing: 0 [] v1_xboole_0(k1_xboole_0).
% 2.57/2.76 Following clause subsumed by 80 during input processing: 0 [] v1_relat_1(k1_xboole_0).
% 2.57/2.76 ** KEPT (pick-wt=5): 83 [] k2_xboole_0(A,A)=A.
% 2.57/2.76 ---> New Demodulator: 84 [new_demod,83] k2_xboole_0(A,A)=A.
% 2.57/2.76 ** KEPT (pick-wt=2): 85 [] v1_xboole_0($c6).
% 2.57/2.76 ** KEPT (pick-wt=2): 86 [] v1_relat_1($c6).
% 2.57/2.76 ** KEPT (pick-wt=7): 87 [] v1_xboole_0(A)|m1_subset_1($f7(A),k1_zfmisc_1(A)).
% 2.57/2.76 ** KEPT (pick-wt=6): 88 [] m1_relset_1($f8(A,B),A,B).
% 2.57/2.76 ** KEPT (pick-wt=4): 89 [] v1_relat_1($f8(A,B)).
% 2.57/2.76 ** KEPT (pick-wt=4): 90 [] v1_funct_1($f8(A,B)).
% 2.57/2.76 ** KEPT (pick-wt=2): 91 [] v1_relat_1($c7).
% 2.57/2.76 ** KEPT (pick-wt=5): 92 [] m1_subset_1($f9(A),k1_zfmisc_1(A)).
% 2.57/2.76 ** KEPT (pick-wt=3): 93 [] v1_xboole_0($f9(A)).
% 2.57/2.76 ** KEPT (pick-wt=2): 94 [] v1_relat_1($c8).
% 2.57/2.76 ** KEPT (pick-wt=2): 95 [] v3_relat_1($c8).
% 2.57/2.76 ** KEPT (pick-wt=3): 96 [] r1_tarski(A,A).
% 2.57/2.76 ** KEPT (pick-wt=5): 97 [] k2_xboole_0(A,k1_xboole_0)=A.
% 2.57/2.76 ---> New Demodulator: 98 [new_demod,97] k2_xboole_0(A,k1_xboole_0)=A.
% 2.57/2.76 Following clause subsumed by 67 during input processing: 0 [copy,67,flip.1] A=A.
% 2.57/2.76 67 back subsumes 66.
% 2.57/2.76 67 back subsumes 54.
% 2.57/2.76 Following clause subsumed by 71 during input processing: 0 [copy,71,flip.1] k2_xboole_0(A,B)=k2_xboole_0(B,A).
% 2.57/2.76 >>>> Starting back demodulation with 84.
% 2.57/2.76 >> back demodulating 62 with 84.
% 2.57/2.76 >> back demodulating 61 with 84.
% 2.57/2.76 >> back demodulating 59 with 84.
% 2.57/2.76 >> back demodulating 55 with 84.
% 2.57/2.76 >>>> Starting back demodulation with 98.
% 2.57/2.76
% 2.57/2.76 ======= end of input processing =======
% 2.57/2.76
% 2.57/2.76 =========== start of search ===========
% 2.57/2.76
% 2.57/2.76
% 2.57/2.76 Resetting weight limit to 4.
% 2.57/2.76
% 2.57/2.76
% 2.57/2.76 Resetting weight limit to 4.
% 2.57/2.76
% 2.57/2.76 sos_size=342
% 2.57/2.76
% 2.57/2.76 Search stopped because sos empty.
% 2.57/2.76
% 2.57/2.76
% 2.57/2.76 Search stopped because sos empty.
% 2.57/2.76
% 2.57/2.76 ============ end of search ============
% 2.57/2.76
% 2.57/2.76 -------------- statistics -------------
% 2.57/2.76 clauses given 372
% 2.57/2.76 clauses generated 54660
% 2.57/2.76 clauses kept 483
% 2.57/2.76 clauses forward subsumed 349
% 2.57/2.76 clauses back subsumed 2
% 2.57/2.76 Kbytes malloced 6835
% 2.57/2.76
% 2.57/2.76 ----------- times (seconds) -----------
% 2.57/2.76 user CPU time 0.55 (0 hr, 0 min, 0 sec)
% 2.57/2.76 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.57/2.76 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.57/2.76
% 2.57/2.76 Process 5803 finished Wed Jul 27 08:06:51 2022
% 2.57/2.76 Otter interrupted
% 2.57/2.76 PROOF NOT FOUND
%------------------------------------------------------------------------------