TSTP Solution File: SEU414+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU414+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n025.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 13:16:10 EDT 2022

% Result   : Unknown 3.68s 3.86s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU414+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12  % Command  : otter-tptp-script %s
% 0.11/0.32  % Computer : n025.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed Jul 27 07:40:15 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 2.22/2.39  ----- Otter 3.3f, August 2004 -----
% 2.22/2.39  The process was started by sandbox on n025.cluster.edu,
% 2.22/2.39  Wed Jul 27 07:40:15 2022
% 2.22/2.39  The command was "./otter".  The process ID is 21425.
% 2.22/2.39  
% 2.22/2.39  set(prolog_style_variables).
% 2.22/2.39  set(auto).
% 2.22/2.39     dependent: set(auto1).
% 2.22/2.39     dependent: set(process_input).
% 2.22/2.39     dependent: clear(print_kept).
% 2.22/2.39     dependent: clear(print_new_demod).
% 2.22/2.39     dependent: clear(print_back_demod).
% 2.22/2.39     dependent: clear(print_back_sub).
% 2.22/2.39     dependent: set(control_memory).
% 2.22/2.39     dependent: assign(max_mem, 12000).
% 2.22/2.39     dependent: assign(pick_given_ratio, 4).
% 2.22/2.39     dependent: assign(stats_level, 1).
% 2.22/2.39     dependent: assign(max_seconds, 10800).
% 2.22/2.39  clear(print_given).
% 2.22/2.39  
% 2.22/2.39  formula_list(usable).
% 2.22/2.39  all A (A=A).
% 2.22/2.39  -(all A (l1_orders_2(A)-> (all B (l1_orders_2(B)-> (r1_latsum_1(A,B)&v13_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),A)&m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(A)))&v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)&m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)))&v3_orders_2(A)&v4_orders_2(A)&v3_orders_2(B)&v4_orders_2(B)->v4_orders_2(k1_latsum_1(A,B))))))).
% 2.22/2.39  all A (l1_orders_2(A)-> (v1_orders_2(A)->A=g1_orders_2(u1_struct_0(A),u1_orders_2(A)))).
% 2.22/2.39  all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.22/2.39  all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 2.22/2.39  all A B (k2_xboole_0(A,B)=k2_xboole_0(B,A)).
% 2.22/2.39  all A B (k3_xboole_0(A,B)=k3_xboole_0(B,A)).
% 2.22/2.39  all A (l1_orders_2(A)-> (all B (l1_orders_2(B)-> (all C (v1_orders_2(C)&l1_orders_2(C)-> (C=k1_latsum_1(A,B)<->u1_struct_0(C)=k2_xboole_0(u1_struct_0(A),u1_struct_0(B))&u1_orders_2(C)=k2_xboole_0(k2_xboole_0(u1_orders_2(A),u1_orders_2(B)),k7_relset_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B))))))))).
% 2.22/2.39  all A B C (C=k2_xboole_0(A,B)<-> (all D (r2_hidden(D,C)<->r2_hidden(D,A)|r2_hidden(D,B)))).
% 2.22/2.39  all A (v1_relat_1(A)-> (all B (r4_relat_2(A,B)<-> (all C D (r2_hidden(C,B)&r2_hidden(D,B)&r2_hidden(k4_tarski(C,D),A)&r2_hidden(k4_tarski(D,C),A)->C=D))))).
% 2.22/2.39  all A (l1_orders_2(A)-> (v4_orders_2(A)<->r4_relat_2(u1_orders_2(A),u1_struct_0(A)))).
% 2.22/2.39  all A B (m1_relset_1(B,A,A)->v1_orders_2(g1_orders_2(A,B))&l1_orders_2(g1_orders_2(A,B))).
% 2.22/2.39  all A B (l1_orders_2(A)&l1_orders_2(B)->v1_orders_2(k1_latsum_1(A,B))&l1_orders_2(k1_latsum_1(A,B))).
% 2.22/2.39  $T.
% 2.22/2.39  $T.
% 2.22/2.39  $T.
% 2.22/2.39  $T.
% 2.22/2.39  $T.
% 2.22/2.39  $T.
% 2.22/2.39  all A B (v1_relat_1(A)&v1_relat_1(B)->v1_relat_1(k5_relat_1(A,B))).
% 2.22/2.39  all A B C D E F (m1_relset_1(E,A,B)&m1_relset_1(F,C,D)->m2_relset_1(k7_relset_1(A,B,C,D,E,F),A,D)).
% 2.22/2.39  all A (l1_orders_2(A)->l1_struct_0(A)).
% 2.22/2.39  $T.
% 2.22/2.39  $T.
% 2.22/2.39  $T.
% 2.22/2.39  all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 2.22/2.39  all A (l1_orders_2(A)->m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A))).
% 2.22/2.39  $T.
% 2.22/2.39  exists A l1_orders_2(A).
% 2.22/2.39  exists A l1_struct_0(A).
% 2.22/2.39  all A B exists C m1_relset_1(C,A,B).
% 2.22/2.39  all A exists B m1_subset_1(B,A).
% 2.22/2.39  all A B exists C m2_relset_1(C,A,B).
% 2.22/2.39  v1_xboole_0(k1_xboole_0).
% 2.22/2.39  all A B (-v1_xboole_0(A)-> -v1_xboole_0(k2_xboole_0(A,B))).
% 2.22/2.39  all A B (-v1_xboole_0(A)-> -v1_xboole_0(k2_xboole_0(B,A))).
% 2.22/2.39  all A B (m1_relset_1(B,A,A)-> (all C D (g1_orders_2(A,B)=g1_orders_2(C,D)->A=C&B=D))).
% 2.22/2.39  all A B (k2_xboole_0(A,A)=A).
% 2.22/2.39  all A B (k3_xboole_0(A,A)=A).
% 2.22/2.39  exists A v1_xboole_0(A).
% 2.22/2.39  exists A (-v1_xboole_0(A)).
% 2.22/2.39  all A (l1_orders_2(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))&v12_waybel_0(B,A)&v13_waybel_0(B,A)))).
% 2.22/2.39  all A B C D E F (m1_relset_1(E,A,B)&m1_relset_1(F,C,D)->k7_relset_1(A,B,C,D,E,F)=k5_relat_1(E,F)).
% 2.22/2.39  all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 2.22/2.39  all A B r1_tarski(A,A).
% 2.22/2.39  all A (l1_orders_2(A)-> (all B (l1_orders_2(B)-> (all C D (v13_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),A)&m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(A)))&r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))&r2_hidden(C,u1_struct_0(B))->r2_hidden(D,u1_struct_0(B))))))).
% 2.22/2.39  all A (k2_xboole_0(A,k1_xboole_0)=A).
% 2.22/2.39  all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.22/2.39  all A (l1_orders_2(A)-> (all B (l1_orders_2(B)-> (all C D (v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)&m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)))&r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))&r2_hidden(D,u1_struct_0(A))->r2_hidden(C,u1_struct_0(A))))))).
% 2.22/2.39  all A (k3_xboole_0(A,k1_xboole_0)=k1_xboole_0).
% 2.22/2.39  all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.22/2.39  all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.22/2.39  all A (l1_orders_2(A)-> (all B (l1_orders_2(B)-> (all C D (r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))&r2_hidden(C,u1_struct_0(A))&r2_hidden(D,u1_struct_0(A))&r1_latsum_1(A,B)&v3_orders_2(A)->r2_hidden(k4_tarski(C,D),u1_orders_2(A))))))).
% 2.22/2.39  all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.22/2.39  all A (l1_orders_2(A)-> (all B (l1_orders_2(B)-> (all C D (r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))&r2_hidden(C,u1_struct_0(B))&r2_hidden(D,u1_struct_0(B))&r1_latsum_1(A,B)&v3_orders_2(B)->r2_hidden(k4_tarski(C,D),u1_orders_2(B))))))).
% 2.22/2.39  all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.22/2.39  all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.22/2.39  all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.22/2.39  all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.22/2.39  end_of_list.
% 2.22/2.39  
% 2.22/2.39  -------> usable clausifies to:
% 2.22/2.39  
% 2.22/2.39  list(usable).
% 2.22/2.39  0 [] A=A.
% 2.22/2.39  0 [] l1_orders_2($c2).
% 2.22/2.39  0 [] l1_orders_2($c1).
% 2.22/2.39  0 [] r1_latsum_1($c2,$c1).
% 2.22/2.39  0 [] v13_waybel_0(k3_xboole_0(u1_struct_0($c2),u1_struct_0($c1)),$c2).
% 2.22/2.39  0 [] m1_subset_1(k3_xboole_0(u1_struct_0($c2),u1_struct_0($c1)),k1_zfmisc_1(u1_struct_0($c2))).
% 2.22/2.39  0 [] v12_waybel_0(k3_xboole_0(u1_struct_0($c2),u1_struct_0($c1)),$c1).
% 2.22/2.39  0 [] m1_subset_1(k3_xboole_0(u1_struct_0($c2),u1_struct_0($c1)),k1_zfmisc_1(u1_struct_0($c1))).
% 2.22/2.39  0 [] v3_orders_2($c2).
% 2.22/2.39  0 [] v4_orders_2($c2).
% 2.22/2.39  0 [] v3_orders_2($c1).
% 2.22/2.39  0 [] v4_orders_2($c1).
% 2.22/2.39  0 [] -v4_orders_2(k1_latsum_1($c2,$c1)).
% 2.22/2.39  0 [] -l1_orders_2(A)| -v1_orders_2(A)|A=g1_orders_2(u1_struct_0(A),u1_orders_2(A)).
% 2.22/2.39  0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.22/2.39  0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 2.22/2.39  0 [] k2_xboole_0(A,B)=k2_xboole_0(B,A).
% 2.22/2.39  0 [] k3_xboole_0(A,B)=k3_xboole_0(B,A).
% 2.22/2.39  0 [] -l1_orders_2(A)| -l1_orders_2(B)| -v1_orders_2(C)| -l1_orders_2(C)|C!=k1_latsum_1(A,B)|u1_struct_0(C)=k2_xboole_0(u1_struct_0(A),u1_struct_0(B)).
% 2.22/2.39  0 [] -l1_orders_2(A)| -l1_orders_2(B)| -v1_orders_2(C)| -l1_orders_2(C)|C!=k1_latsum_1(A,B)|u1_orders_2(C)=k2_xboole_0(k2_xboole_0(u1_orders_2(A),u1_orders_2(B)),k7_relset_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B))).
% 2.22/2.39  0 [] -l1_orders_2(A)| -l1_orders_2(B)| -v1_orders_2(C)| -l1_orders_2(C)|C=k1_latsum_1(A,B)|u1_struct_0(C)!=k2_xboole_0(u1_struct_0(A),u1_struct_0(B))|u1_orders_2(C)!=k2_xboole_0(k2_xboole_0(u1_orders_2(A),u1_orders_2(B)),k7_relset_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B))).
% 2.22/2.39  0 [] C!=k2_xboole_0(A,B)| -r2_hidden(D,C)|r2_hidden(D,A)|r2_hidden(D,B).
% 2.22/2.39  0 [] C!=k2_xboole_0(A,B)|r2_hidden(D,C)| -r2_hidden(D,A).
% 2.22/2.39  0 [] C!=k2_xboole_0(A,B)|r2_hidden(D,C)| -r2_hidden(D,B).
% 2.22/2.39  0 [] C=k2_xboole_0(A,B)|r2_hidden($f1(A,B,C),C)|r2_hidden($f1(A,B,C),A)|r2_hidden($f1(A,B,C),B).
% 2.22/2.39  0 [] C=k2_xboole_0(A,B)| -r2_hidden($f1(A,B,C),C)| -r2_hidden($f1(A,B,C),A).
% 2.22/2.39  0 [] C=k2_xboole_0(A,B)| -r2_hidden($f1(A,B,C),C)| -r2_hidden($f1(A,B,C),B).
% 2.22/2.39  0 [] -v1_relat_1(A)| -r4_relat_2(A,B)| -r2_hidden(C,B)| -r2_hidden(D,B)| -r2_hidden(k4_tarski(C,D),A)| -r2_hidden(k4_tarski(D,C),A)|C=D.
% 2.22/2.39  0 [] -v1_relat_1(A)|r4_relat_2(A,B)|r2_hidden($f3(A,B),B).
% 2.22/2.39  0 [] -v1_relat_1(A)|r4_relat_2(A,B)|r2_hidden($f2(A,B),B).
% 2.22/2.39  0 [] -v1_relat_1(A)|r4_relat_2(A,B)|r2_hidden(k4_tarski($f3(A,B),$f2(A,B)),A).
% 2.22/2.39  0 [] -v1_relat_1(A)|r4_relat_2(A,B)|r2_hidden(k4_tarski($f2(A,B),$f3(A,B)),A).
% 2.22/2.39  0 [] -v1_relat_1(A)|r4_relat_2(A,B)|$f3(A,B)!=$f2(A,B).
% 2.22/2.39  0 [] -l1_orders_2(A)| -v4_orders_2(A)|r4_relat_2(u1_orders_2(A),u1_struct_0(A)).
% 2.22/2.39  0 [] -l1_orders_2(A)|v4_orders_2(A)| -r4_relat_2(u1_orders_2(A),u1_struct_0(A)).
% 2.22/2.39  0 [] -m1_relset_1(B,A,A)|v1_orders_2(g1_orders_2(A,B)).
% 2.22/2.39  0 [] -m1_relset_1(B,A,A)|l1_orders_2(g1_orders_2(A,B)).
% 2.22/2.39  0 [] -l1_orders_2(A)| -l1_orders_2(B)|v1_orders_2(k1_latsum_1(A,B)).
% 2.22/2.39  0 [] -l1_orders_2(A)| -l1_orders_2(B)|l1_orders_2(k1_latsum_1(A,B)).
% 2.22/2.39  0 [] $T.
% 2.22/2.39  0 [] $T.
% 2.22/2.39  0 [] $T.
% 2.22/2.39  0 [] $T.
% 2.22/2.39  0 [] $T.
% 2.22/2.39  0 [] $T.
% 2.22/2.39  0 [] -v1_relat_1(A)| -v1_relat_1(B)|v1_relat_1(k5_relat_1(A,B)).
% 2.22/2.40  0 [] -m1_relset_1(E,A,B)| -m1_relset_1(F,C,D)|m2_relset_1(k7_relset_1(A,B,C,D,E,F),A,D).
% 2.22/2.40  0 [] -l1_orders_2(A)|l1_struct_0(A).
% 2.22/2.40  0 [] $T.
% 2.22/2.40  0 [] $T.
% 2.22/2.40  0 [] $T.
% 2.22/2.40  0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 2.22/2.40  0 [] -l1_orders_2(A)|m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)).
% 2.22/2.40  0 [] $T.
% 2.22/2.40  0 [] l1_orders_2($c3).
% 2.22/2.40  0 [] l1_struct_0($c4).
% 2.22/2.40  0 [] m1_relset_1($f4(A,B),A,B).
% 2.22/2.40  0 [] m1_subset_1($f5(A),A).
% 2.22/2.40  0 [] m2_relset_1($f6(A,B),A,B).
% 2.22/2.40  0 [] v1_xboole_0(k1_xboole_0).
% 2.22/2.40  0 [] v1_xboole_0(A)| -v1_xboole_0(k2_xboole_0(A,B)).
% 2.22/2.40  0 [] v1_xboole_0(A)| -v1_xboole_0(k2_xboole_0(B,A)).
% 2.22/2.40  0 [] -m1_relset_1(B,A,A)|g1_orders_2(A,B)!=g1_orders_2(C,D)|A=C.
% 2.22/2.40  0 [] -m1_relset_1(B,A,A)|g1_orders_2(A,B)!=g1_orders_2(C,D)|B=D.
% 2.22/2.40  0 [] k2_xboole_0(A,A)=A.
% 2.22/2.40  0 [] k3_xboole_0(A,A)=A.
% 2.22/2.40  0 [] v1_xboole_0($c5).
% 2.22/2.40  0 [] -v1_xboole_0($c6).
% 2.22/2.40  0 [] -l1_orders_2(A)|m1_subset_1($f7(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.22/2.40  0 [] -l1_orders_2(A)|v12_waybel_0($f7(A),A).
% 2.22/2.40  0 [] -l1_orders_2(A)|v13_waybel_0($f7(A),A).
% 2.22/2.40  0 [] -m1_relset_1(E,A,B)| -m1_relset_1(F,C,D)|k7_relset_1(A,B,C,D,E,F)=k5_relat_1(E,F).
% 2.22/2.40  0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 2.22/2.40  0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 2.22/2.40  0 [] r1_tarski(A,A).
% 2.22/2.40  0 [] -l1_orders_2(A)| -l1_orders_2(B)| -v13_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),A)| -m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(A)))| -r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))| -r2_hidden(C,u1_struct_0(B))|r2_hidden(D,u1_struct_0(B)).
% 2.22/2.40  0 [] k2_xboole_0(A,k1_xboole_0)=A.
% 2.22/2.40  0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.22/2.40  0 [] -l1_orders_2(A)| -l1_orders_2(B)| -v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)| -m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)))| -r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))| -r2_hidden(D,u1_struct_0(A))|r2_hidden(C,u1_struct_0(A)).
% 2.22/2.40  0 [] k3_xboole_0(A,k1_xboole_0)=k1_xboole_0.
% 2.22/2.40  0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.22/2.40  0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.22/2.40  0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.22/2.40  0 [] -l1_orders_2(A)| -l1_orders_2(B)| -r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))| -r2_hidden(C,u1_struct_0(A))| -r2_hidden(D,u1_struct_0(A))| -r1_latsum_1(A,B)| -v3_orders_2(A)|r2_hidden(k4_tarski(C,D),u1_orders_2(A)).
% 2.22/2.40  0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.22/2.40  0 [] -l1_orders_2(A)| -l1_orders_2(B)| -r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))| -r2_hidden(C,u1_struct_0(B))| -r2_hidden(D,u1_struct_0(B))| -r1_latsum_1(A,B)| -v3_orders_2(B)|r2_hidden(k4_tarski(C,D),u1_orders_2(B)).
% 2.22/2.40  0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.22/2.40  0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.22/2.40  0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.22/2.40  0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.22/2.40  end_of_list.
% 2.22/2.40  
% 2.22/2.40  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 2.22/2.40  
% 2.22/2.40  This ia a non-Horn set with equality.  The strategy will be
% 2.22/2.40  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.22/2.40  deletion, with positive clauses in sos and nonpositive
% 2.22/2.40  clauses in usable.
% 2.22/2.40  
% 2.22/2.40     dependent: set(knuth_bendix).
% 2.22/2.40     dependent: set(anl_eq).
% 2.22/2.40     dependent: set(para_from).
% 2.22/2.40     dependent: set(para_into).
% 2.22/2.40     dependent: clear(para_from_right).
% 2.22/2.40     dependent: clear(para_into_right).
% 2.22/2.40     dependent: set(para_from_vars).
% 2.22/2.40     dependent: set(eq_units_both_ways).
% 2.22/2.40     dependent: set(dynamic_demod_all).
% 2.22/2.40     dependent: set(dynamic_demod).
% 2.22/2.40     dependent: set(order_eq).
% 2.22/2.40     dependent: set(back_demod).
% 2.22/2.40     dependent: set(lrpo).
% 2.22/2.40     dependent: set(hyper_res).
% 2.22/2.40     dependent: set(unit_deletion).
% 2.22/2.40     dependent: set(factor).
% 2.22/2.40  
% 2.22/2.40  ------------> process usable:
% 2.22/2.40  ** KEPT (pick-wt=4): 1 [] -v4_orders_2(k1_latsum_1($c2,$c1)).
% 2.22/2.40  ** KEPT (pick-wt=11): 3 [copy,2,flip.3] -l1_orders_2(A)| -v1_orders_2(A)|g1_orders_2(u1_struct_0(A),u1_orders_2(A))=A.
% 2.22/2.40  ** KEPT (pick-wt=6): 4 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.22/2.40  ** KEPT (pick-wt=8): 5 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 2.22/2.40  ** KEPT (pick-wt=21): 6 [] -l1_orders_2(A)| -l1_orders_2(B)| -v1_orders_2(C)| -l1_orders_2(C)|C!=k1_latsum_1(A,B)|u1_struct_0(C)=k2_xboole_0(u1_struct_0(A),u1_struct_0(B)).
% 2.22/2.40  ** KEPT (pick-wt=35): 7 [] -l1_orders_2(A)| -l1_orders_2(B)| -v1_orders_2(C)| -l1_orders_2(C)|C!=k1_latsum_1(A,B)|u1_orders_2(C)=k2_xboole_0(k2_xboole_0(u1_orders_2(A),u1_orders_2(B)),k7_relset_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B))).
% 2.22/2.40  ** KEPT (pick-wt=43): 8 [] -l1_orders_2(A)| -l1_orders_2(B)| -v1_orders_2(C)| -l1_orders_2(C)|C=k1_latsum_1(A,B)|u1_struct_0(C)!=k2_xboole_0(u1_struct_0(A),u1_struct_0(B))|u1_orders_2(C)!=k2_xboole_0(k2_xboole_0(u1_orders_2(A),u1_orders_2(B)),k7_relset_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(B),u1_struct_0(B),u1_orders_2(A),u1_orders_2(B))).
% 2.22/2.40  ** KEPT (pick-wt=14): 9 [] A!=k2_xboole_0(B,C)| -r2_hidden(D,A)|r2_hidden(D,B)|r2_hidden(D,C).
% 2.22/2.40  ** KEPT (pick-wt=11): 10 [] A!=k2_xboole_0(B,C)|r2_hidden(D,A)| -r2_hidden(D,B).
% 2.22/2.40  ** KEPT (pick-wt=11): 11 [] A!=k2_xboole_0(B,C)|r2_hidden(D,A)| -r2_hidden(D,C).
% 2.22/2.40  ** KEPT (pick-wt=17): 12 [] A=k2_xboole_0(B,C)| -r2_hidden($f1(B,C,A),A)| -r2_hidden($f1(B,C,A),B).
% 2.22/2.40  ** KEPT (pick-wt=17): 13 [] A=k2_xboole_0(B,C)| -r2_hidden($f1(B,C,A),A)| -r2_hidden($f1(B,C,A),C).
% 2.22/2.40  ** KEPT (pick-wt=24): 14 [] -v1_relat_1(A)| -r4_relat_2(A,B)| -r2_hidden(C,B)| -r2_hidden(D,B)| -r2_hidden(k4_tarski(C,D),A)| -r2_hidden(k4_tarski(D,C),A)|C=D.
% 2.22/2.40  ** KEPT (pick-wt=10): 15 [] -v1_relat_1(A)|r4_relat_2(A,B)|r2_hidden($f3(A,B),B).
% 2.22/2.40  ** KEPT (pick-wt=10): 16 [] -v1_relat_1(A)|r4_relat_2(A,B)|r2_hidden($f2(A,B),B).
% 2.22/2.40  ** KEPT (pick-wt=14): 17 [] -v1_relat_1(A)|r4_relat_2(A,B)|r2_hidden(k4_tarski($f3(A,B),$f2(A,B)),A).
% 2.22/2.40  ** KEPT (pick-wt=14): 18 [] -v1_relat_1(A)|r4_relat_2(A,B)|r2_hidden(k4_tarski($f2(A,B),$f3(A,B)),A).
% 2.22/2.40  ** KEPT (pick-wt=12): 19 [] -v1_relat_1(A)|r4_relat_2(A,B)|$f3(A,B)!=$f2(A,B).
% 2.22/2.40  ** KEPT (pick-wt=9): 20 [] -l1_orders_2(A)| -v4_orders_2(A)|r4_relat_2(u1_orders_2(A),u1_struct_0(A)).
% 2.22/2.40  ** KEPT (pick-wt=9): 21 [] -l1_orders_2(A)|v4_orders_2(A)| -r4_relat_2(u1_orders_2(A),u1_struct_0(A)).
% 2.22/2.40  ** KEPT (pick-wt=8): 22 [] -m1_relset_1(A,B,B)|v1_orders_2(g1_orders_2(B,A)).
% 2.22/2.40  ** KEPT (pick-wt=8): 23 [] -m1_relset_1(A,B,B)|l1_orders_2(g1_orders_2(B,A)).
% 2.22/2.40  ** KEPT (pick-wt=8): 24 [] -l1_orders_2(A)| -l1_orders_2(B)|v1_orders_2(k1_latsum_1(A,B)).
% 2.22/2.40  ** KEPT (pick-wt=8): 25 [] -l1_orders_2(A)| -l1_orders_2(B)|l1_orders_2(k1_latsum_1(A,B)).
% 2.22/2.40  ** KEPT (pick-wt=8): 26 [] -v1_relat_1(A)| -v1_relat_1(B)|v1_relat_1(k5_relat_1(A,B)).
% 2.22/2.40  ** KEPT (pick-wt=18): 27 [] -m1_relset_1(A,B,C)| -m1_relset_1(D,E,F)|m2_relset_1(k7_relset_1(B,C,E,F,A,D),B,F).
% 2.22/2.40  ** KEPT (pick-wt=4): 28 [] -l1_orders_2(A)|l1_struct_0(A).
% 2.22/2.40  ** KEPT (pick-wt=10): 29 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 2.22/2.40  ** KEPT (pick-wt=9): 30 [] -l1_orders_2(A)|m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)).
% 2.22/2.40  ** KEPT (pick-wt=6): 31 [] v1_xboole_0(A)| -v1_xboole_0(k2_xboole_0(A,B)).
% 2.22/2.40  ** KEPT (pick-wt=6): 32 [] v1_xboole_0(A)| -v1_xboole_0(k2_xboole_0(B,A)).
% 2.22/2.40  ** KEPT (pick-wt=14): 33 [] -m1_relset_1(A,B,B)|g1_orders_2(B,A)!=g1_orders_2(C,D)|B=C.
% 2.22/2.40  ** KEPT (pick-wt=14): 34 [] -m1_relset_1(A,B,B)|g1_orders_2(B,A)!=g1_orders_2(C,D)|A=D.
% 2.22/2.40  ** KEPT (pick-wt=2): 35 [] -v1_xboole_0($c6).
% 2.22/2.40  ** KEPT (pick-wt=8): 36 [] -l1_orders_2(A)|m1_subset_1($f7(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.22/2.40  ** KEPT (pick-wt=6): 37 [] -l1_orders_2(A)|v12_waybel_0($f7(A),A).
% 2.22/2.40  ** KEPT (pick-wt=6): 38 [] -l1_orders_2(A)|v13_waybel_0($f7(A),A).
% 2.22/2.40  ** KEPT (pick-wt=19): 39 [] -m1_relset_1(A,B,C)| -m1_relset_1(D,E,F)|k7_relset_1(B,C,E,F,A,D)=k5_relat_1(A,D).
% 2.22/2.40  ** KEPT (pick-wt=8): 40 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 2.22/2.40  ** KEPT (pick-wt=8): 41 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 2.22/2.40  ** KEPT (pick-wt=36): 42 [] -l1_orders_2(A)| -l1_orders_2(B)| -v13_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),A)| -m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(A)))| -r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))| -r2_hidden(C,u1_struct_0(B))|r2_hidden(D,u1_struct_0(B)).
% 2.22/2.40  ** KEPT (pick-wt=6): 43 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.22/2.40  ** KEPT (pick-wt=36): 44 [] -l1_orders_2(A)| -l1_orders_2(B)| -v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)| -m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)))| -r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))| -r2_hidden(D,u1_struct_0(A))|r2_hidden(C,u1_struct_0(A)).
% 2.22/2.40  ** KEPT (pick-wt=8): 45 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.22/2.40  ** KEPT (pick-wt=7): 46 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.22/2.40  ** KEPT (pick-wt=7): 47 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.22/2.40  ** KEPT (pick-wt=31): 48 [] -l1_orders_2(A)| -l1_orders_2(B)| -r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))| -r2_hidden(C,u1_struct_0(A))| -r2_hidden(D,u1_struct_0(A))| -r1_latsum_1(A,B)| -v3_orders_2(A)|r2_hidden(k4_tarski(C,D),u1_orders_2(A)).
% 2.22/2.40  ** KEPT (pick-wt=10): 49 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.22/2.40  ** KEPT (pick-wt=31): 50 [] -l1_orders_2(A)| -l1_orders_2(B)| -r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))| -r2_hidden(C,u1_struct_0(B))| -r2_hidden(D,u1_struct_0(B))| -r1_latsum_1(A,B)| -v3_orders_2(B)|r2_hidden(k4_tarski(C,D),u1_orders_2(B)).
% 2.22/2.40  ** KEPT (pick-wt=9): 51 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.22/2.40  ** KEPT (pick-wt=5): 52 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.22/2.40  ** KEPT (pick-wt=5): 53 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.22/2.40  ** KEPT (pick-wt=7): 54 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.22/2.40  
% 2.22/2.40  ------------> process sos:
% 2.22/2.40  ** KEPT (pick-wt=3): 84 [] A=A.
% 2.22/2.40  ** KEPT (pick-wt=2): 85 [] l1_orders_2($c2).
% 2.22/2.40  ** KEPT (pick-wt=2): 86 [] l1_orders_2($c1).
% 2.22/2.40  ** KEPT (pick-wt=3): 87 [] r1_latsum_1($c2,$c1).
% 2.22/2.40  ** KEPT (pick-wt=7): 88 [] v13_waybel_0(k3_xboole_0(u1_struct_0($c2),u1_struct_0($c1)),$c2).
% 2.22/2.40  ** KEPT (pick-wt=9): 89 [] m1_subset_1(k3_xboole_0(u1_struct_0($c2),u1_struct_0($c1)),k1_zfmisc_1(u1_struct_0($c2))).
% 2.22/2.40  ** KEPT (pick-wt=7): 90 [] v12_waybel_0(k3_xboole_0(u1_struct_0($c2),u1_struct_0($c1)),$c1).
% 2.22/2.40  ** KEPT (pick-wt=9): 91 [] m1_subset_1(k3_xboole_0(u1_struct_0($c2),u1_struct_0($c1)),k1_zfmisc_1(u1_struct_0($c1))).
% 2.22/2.40  ** KEPT (pick-wt=2): 92 [] v3_orders_2($c2).
% 2.22/2.40  ** KEPT (pick-wt=2): 93 [] v4_orders_2($c2).
% 2.22/2.40  ** KEPT (pick-wt=2): 94 [] v3_orders_2($c1).
% 2.22/2.40  ** KEPT (pick-wt=2): 95 [] v4_orders_2($c1).
% 2.22/2.40  ** KEPT (pick-wt=7): 96 [] k2_xboole_0(A,B)=k2_xboole_0(B,A).
% 2.22/2.40  ** KEPT (pick-wt=7): 97 [] k3_xboole_0(A,B)=k3_xboole_0(B,A).
% 2.22/2.40  ** KEPT (pick-wt=23): 98 [] A=k2_xboole_0(B,C)|r2_hidden($f1(B,C,A),A)|r2_hidden($f1(B,C,A),B)|r2_hidden($f1(B,C,A),C).
% 2.22/2.40  ** KEPT (pick-wt=2): 99 [] l1_orders_2($c3).
% 2.22/2.40  ** KEPT (pick-wt=2): 100 [] l1_struct_0($c4).
% 2.22/2.40  ** KEPT (pick-wt=6): 101 [] m1_relset_1($f4(A,B),A,B).
% 2.22/2.40  ** KEPT (pick-wt=4): 102 [] m1_subset_1($f5(A),A).
% 2.22/2.40  ** KEPT (pick-wt=6): 103 [] m2_relset_1($f6(A,B),A,B).
% 2.22/2.40  ** KEPT (pick-wt=2): 104 [] v1_xboole_0(k1_xboole_0).
% 2.22/2.40  ** KEPT (pick-wt=5): 105 [] k2_xboole_0(A,A)=A.
% 2.22/2.40  ---> New Demodulator: 106 [new_demod,105] k2_xboole_0(A,A)=A.
% 2.22/2.40  ** KEPT (pick-wt=5): 107 [] k3_xboole_0(A,A)=A.
% 2.22/2.40  ---> New Demodulator: 108 [new_demod,107] k3_xboole_0(A,A)=A.
% 2.22/2.40  ** KEPT (pick-wt=2): 109 [] v1_xboole_0($c5).
% 2.22/2.40  ** KEPT (pick-wt=3): 110 [] r1_tarski(A,A).
% 2.22/2.40  ** KEPT (pick-wt=5): 111 [] k2_xboole_0(A,k1_xboole_0)=A.
% 2.22/2.40  ---> New Demodulator: 112 [new_demod,111] k2_xboole_0(A,k1_xboole_0)=A.
% 2.22/2.40  ** KEPT (pick-wt=5): 113 [] k3_xboole_0(A,k1_xboole_0)=k1_xboole_0.
% 2.22/2.40  ---> New Demodulator: 114 [new_demod,113] k3_xboole_0(A,k1_xboole_0)=k1_xboole_0.
% 2.22/2.40    Following clause subsumed by 84 during input processing: 0 [copy,84,flip.1] A=A.
% 2.22/2.40  84 back subsumes 79.
% 2.22/2.40  84 back subsumes 68.
% 2.22/2.40    Following clause subsumed by 96 during input processing: 0 [copy,96,flip.1] k2_xboole_0(A,B)=k2_xboole_0(B,A).
% 2.22/2.40    Following clause subsumed by 97 during input processing: 0 [copy,97,flip.1] k3_xboole_0(A,B)=k3_xboole_0(B,A).
% 2.22/2.40  >>>> Starting back demodulation with 106.
% 2.22/2.40      >> back demodulating 82 with 106.
% 2.22/2.40      >> back demodulating 81 with 106.
% 2.22/2.40      >> back demodulating 80 with 106.
% 2.22/2.40      >> back demodulating 65 with 106.
% 2.22/2.40      >> back demodulating 62 with 106.
% 2.22/2.40      >> back demodulating 59 with 106.
% 2.22/2.40      >> back demodulating 56 with 106.
% 2.22/2.40  >>>> Starting back demodulation with 108.
% 2.22/2.40      >> back demodulating 75 with 108.
% 2.22/2.40      >> back demodulating 74 with 108.
% 2.22/2.40  >>>> Starting back demodulation with 112.
% 2.22/2.40  >>>> Starting back demodulation with 114.
% 3.68/3.85  
% 3.68/3.85  ======= end of input processing =======
% 3.68/3.85  
% 3.68/3.85  =========== start of search ===========
% 3.68/3.85  
% 3.68/3.85  
% 3.68/3.85  Resetting weight limit to 4.
% 3.68/3.85  
% 3.68/3.85  
% 3.68/3.85  Resetting weight limit to 4.
% 3.68/3.85  
% 3.68/3.85  sos_size=379
% 3.68/3.85  
% 3.68/3.85  Search stopped because sos empty.
% 3.68/3.85  
% 3.68/3.85  
% 3.68/3.85  Search stopped because sos empty.
% 3.68/3.85  
% 3.68/3.85  ============ end of search ============
% 3.68/3.85  
% 3.68/3.85  -------------- statistics -------------
% 3.68/3.85  clauses given                410
% 3.68/3.85  clauses generated          60984
% 3.68/3.85  clauses kept                 522
% 3.68/3.85  clauses forward subsumed     244
% 3.68/3.85  clauses back subsumed          2
% 3.68/3.85  Kbytes malloced             6835
% 3.68/3.85  
% 3.68/3.85  ----------- times (seconds) -----------
% 3.68/3.85  user CPU time          1.46          (0 hr, 0 min, 1 sec)
% 3.68/3.85  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 3.68/3.85  wall-clock time        4             (0 hr, 0 min, 4 sec)
% 3.68/3.85  
% 3.68/3.85  Process 21425 finished Wed Jul 27 07:40:19 2022
% 3.68/3.85  Otter interrupted
% 3.68/3.86  PROOF NOT FOUND
%------------------------------------------------------------------------------