TSTP Solution File: ALG226+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : ALG226+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n014.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   : Timeout 299.84s 300.02s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : ALG226+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 03:53:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.95/2.16  ----- Otter 3.3f, August 2004 -----
% 1.95/2.16  The process was started by sandbox2 on n014.cluster.edu,
% 1.95/2.16  Wed Jul 27 03:53:09 2022
% 1.95/2.16  The command was "./otter".  The process ID is 12778.
% 1.95/2.16  
% 1.95/2.16  set(prolog_style_variables).
% 1.95/2.16  set(auto).
% 1.95/2.16     dependent: set(auto1).
% 1.95/2.16     dependent: set(process_input).
% 1.95/2.16     dependent: clear(print_kept).
% 1.95/2.16     dependent: clear(print_new_demod).
% 1.95/2.16     dependent: clear(print_back_demod).
% 1.95/2.16     dependent: clear(print_back_sub).
% 1.95/2.16     dependent: set(control_memory).
% 1.95/2.16     dependent: assign(max_mem, 12000).
% 1.95/2.16     dependent: assign(pick_given_ratio, 4).
% 1.95/2.16     dependent: assign(stats_level, 1).
% 1.95/2.16     dependent: assign(max_seconds, 10800).
% 1.95/2.16  clear(print_given).
% 1.95/2.16  
% 1.95/2.16  formula_list(usable).
% 1.95/2.16  all A (A=A).
% 1.95/2.16  -(all A (-v1_xboole_0(A)-> (all B (v2_relat_1(B)&m1_pboole(B,A)-> (all C (v2_relat_1(C)&m1_pboole(C,A)-> (k1_closure3(A,B)=k1_closure3(A,C)&k7_relat_1(B,k1_closure3(A,B))=k7_relat_1(C,k1_closure3(A,C))->r6_pboole(A,B,C)))))))).
% 1.95/2.16  all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 1.95/2.16  all A (v1_xboole_0(A)->v1_fraenkel(A)).
% 1.95/2.16  all A (v1_xboole_0(A)->v1_finset_1(A)).
% 1.95/2.16  all A (v1_xboole_0(A)->v1_funct_1(A)).
% 1.95/2.16  all A B (m1_pboole(B,A)-> (v3_relat_1(B)->v1_pre_circ(B,A))).
% 1.95/2.16  all A (-v1_xboole_0(A)-> (all B (m1_pboole(B,A)-> (v2_relat_1(B)-> -v3_relat_1(B))))).
% 1.95/2.16  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)).
% 1.95/2.16  all A (-v1_xboole_0(A)-> (all B (m1_pboole(B,A)-> (v3_relat_1(B)-> -v2_relat_1(B))))).
% 1.95/2.16  all A B (k3_xboole_0(A,B)=k3_xboole_0(B,A)).
% 1.95/2.16  all A B (m1_pboole(B,A)-> (v2_relat_1(B)<-> (all C (-(r2_hidden(C,A)&v1_xboole_0(k1_funct_1(B,C))))))).
% 1.95/2.16  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)))))).
% 1.95/2.16  all A B (v1_relat_1(B)&v1_funct_1(B)-> (m1_pboole(B,A)<->k1_relat_1(B)=A)).
% 1.95/2.16  all A B C (C=k3_xboole_0(A,B)<-> (all D (r2_hidden(D,C)<->r2_hidden(D,A)&r2_hidden(D,B)))).
% 1.95/2.16  $T.
% 1.95/2.16  $T.
% 1.95/2.16  $T.
% 1.95/2.16  $T.
% 1.95/2.16  $T.
% 1.95/2.16  all A B (v1_relat_1(A)->v1_relat_1(k7_relat_1(A,B))).
% 1.95/2.16  all A B (m1_pboole(B,A)->v1_relat_1(B)&v1_funct_1(B)).
% 1.95/2.16  $T.
% 1.95/2.16  all A exists B m1_pboole(B,A).
% 1.95/2.16  all A exists B m1_subset_1(B,A).
% 1.95/2.16  all A B (v1_finset_1(B)->v1_finset_1(k3_xboole_0(A,B))).
% 1.95/2.16  all A B (v1_finset_1(A)->v1_finset_1(k3_xboole_0(A,B))).
% 1.95/2.16  v1_xboole_0(k1_xboole_0).
% 1.95/2.16  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))).
% 1.95/2.16  all A B (v1_relat_1(A)&v1_funct_1(A)->v1_relat_1(k7_relat_1(A,B))&v1_funct_1(k7_relat_1(A,B))).
% 1.95/2.16  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)))).
% 1.95/2.16  all A B C (-v1_xboole_0(B)&v2_relat_1(C)&m1_pboole(C,B)-> (r2_hidden(A,a_2_1_closure3(B,C))<-> (exists D (m1_subset_1(D,B)&A=D&k1_funct_1(C,D)!=k1_xboole_0)))).
% 1.95/2.16  all A B (k3_xboole_0(A,A)=A).
% 1.95/2.16  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)).
% 1.95/2.16  exists A (-v1_xboole_0(A)&v1_finset_1(A)).
% 1.95/2.16  exists A (v1_relat_1(A)&v1_funct_1(A)).
% 1.95/2.16  exists A (v1_relat_1(A)&v3_relat_1(A)&v1_funct_1(A)).
% 1.95/2.16  exists A v1_xboole_0(A).
% 1.95/2.16  exists A (v1_relat_1(A)&v1_xboole_0(A)&v1_funct_1(A)).
% 1.95/2.16  all A exists B (m1_pboole(B,A)&v1_relat_1(B)&v3_relat_1(B)&v1_funct_1(B)).
% 1.95/2.16  exists A (-v1_xboole_0(A)).
% 1.95/2.16  exists A (v1_relat_1(A)&v1_funct_1(A)&v2_funct_1(A)).
% 1.95/2.16  all A exists B (m1_pboole(B,A)&v1_relat_1(B)&v2_relat_1(B)&v1_funct_1(B)).
% 1.95/2.16  exists A (v1_relat_1(A)&v3_relat_1(A)&v1_funct_1(A)).
% 1.95/2.16  exists A (v1_relat_1(A)&v2_relat_1(A)&v1_funct_1(A)).
% 1.95/2.16  all A B C (m1_pboole(B,A)&m1_pboole(C,A)-> (r6_pboole(A,B,C)<->B=C)).
% 1.95/2.16  all A B C (m1_pboole(B,A)&m1_pboole(C,A)->r6_pboole(A,B,B)).
% 1.95/2.16  all A B C (m1_pboole(B,A)&m1_pboole(C,A)-> (r6_pboole(A,B,C)->r6_pboole(A,C,B))).
% 1.95/2.16  all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 1.95/2.16  all A (k3_xboole_0(A,k1_xboole_0)=k1_xboole_0).
% 1.95/2.16  all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 1.95/2.16  all A B ((all C (r2_hidden(C,A)<->r2_hidden(C,B)))->A=B).
% 1.95/2.16  all A (v1_xboole_0(A)->A=k1_xboole_0).
% 1.95/2.16  all A B C (v1_relat_1(C)&v1_funct_1(C)-> (r2_hidden(B,k1_relat_1(k7_relat_1(C,A)))->k1_funct_1(k7_relat_1(C,A),B)=k1_funct_1(C,B))).
% 1.95/2.16  all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 1.95/2.16  all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 1.95/2.16  all A B (v1_relat_1(B)->k1_relat_1(k7_relat_1(B,A))=k3_xboole_0(k1_relat_1(B),A)).
% 1.95/2.17  all A (v1_relat_1(A)&v1_funct_1(A)-> (all B (v1_relat_1(B)&v1_funct_1(B)-> (k1_relat_1(A)=k1_relat_1(B)& (all C (r2_hidden(C,k1_relat_1(A))->k1_funct_1(A,C)=k1_funct_1(B,C)))->A=B)))).
% 1.95/2.17  end_of_list.
% 1.95/2.17  
% 1.95/2.17  -------> usable clausifies to:
% 1.95/2.17  
% 1.95/2.17  list(usable).
% 1.95/2.17  0 [] A=A.
% 1.95/2.17  0 [] -v1_xboole_0($c3).
% 1.95/2.17  0 [] v2_relat_1($c2).
% 1.95/2.17  0 [] m1_pboole($c2,$c3).
% 1.95/2.17  0 [] v2_relat_1($c1).
% 1.95/2.17  0 [] m1_pboole($c1,$c3).
% 1.95/2.17  0 [] k1_closure3($c3,$c2)=k1_closure3($c3,$c1).
% 1.95/2.17  0 [] k7_relat_1($c2,k1_closure3($c3,$c2))=k7_relat_1($c1,k1_closure3($c3,$c1)).
% 1.95/2.17  0 [] -r6_pboole($c3,$c2,$c1).
% 1.95/2.17  0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 1.95/2.17  0 [] -v1_xboole_0(A)|v1_fraenkel(A).
% 1.95/2.17  0 [] -v1_xboole_0(A)|v1_finset_1(A).
% 1.95/2.17  0 [] -v1_xboole_0(A)|v1_funct_1(A).
% 1.95/2.17  0 [] -m1_pboole(B,A)| -v3_relat_1(B)|v1_pre_circ(B,A).
% 1.95/2.17  0 [] v1_xboole_0(A)| -m1_pboole(B,A)| -v2_relat_1(B)| -v3_relat_1(B).
% 1.95/2.17  0 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 1.95/2.17  0 [] v1_xboole_0(A)| -m1_pboole(B,A)| -v3_relat_1(B)| -v2_relat_1(B).
% 1.95/2.17  0 [] k3_xboole_0(A,B)=k3_xboole_0(B,A).
% 1.95/2.17  0 [] -m1_pboole(B,A)| -v2_relat_1(B)| -r2_hidden(C,A)| -v1_xboole_0(k1_funct_1(B,C)).
% 1.95/2.17  0 [] -m1_pboole(B,A)|v2_relat_1(B)|r2_hidden($f1(A,B),A).
% 1.95/2.17  0 [] -m1_pboole(B,A)|v2_relat_1(B)|v1_xboole_0(k1_funct_1(B,$f1(A,B))).
% 1.95/2.17  0 [] v1_xboole_0(A)| -m1_pboole(B,A)|C!=k1_closure3(A,B)|C=a_2_0_closure3(A,B).
% 1.95/2.17  0 [] v1_xboole_0(A)| -m1_pboole(B,A)|C=k1_closure3(A,B)|C!=a_2_0_closure3(A,B).
% 1.95/2.17  0 [] -v1_relat_1(B)| -v1_funct_1(B)| -m1_pboole(B,A)|k1_relat_1(B)=A.
% 1.95/2.17  0 [] -v1_relat_1(B)| -v1_funct_1(B)|m1_pboole(B,A)|k1_relat_1(B)!=A.
% 1.95/2.17  0 [] C!=k3_xboole_0(A,B)| -r2_hidden(D,C)|r2_hidden(D,A).
% 1.95/2.17  0 [] C!=k3_xboole_0(A,B)| -r2_hidden(D,C)|r2_hidden(D,B).
% 1.95/2.17  0 [] C!=k3_xboole_0(A,B)|r2_hidden(D,C)| -r2_hidden(D,A)| -r2_hidden(D,B).
% 1.95/2.17  0 [] C=k3_xboole_0(A,B)|r2_hidden($f2(A,B,C),C)|r2_hidden($f2(A,B,C),A).
% 1.95/2.17  0 [] C=k3_xboole_0(A,B)|r2_hidden($f2(A,B,C),C)|r2_hidden($f2(A,B,C),B).
% 1.95/2.17  0 [] C=k3_xboole_0(A,B)| -r2_hidden($f2(A,B,C),C)| -r2_hidden($f2(A,B,C),A)| -r2_hidden($f2(A,B,C),B).
% 1.95/2.17  0 [] $T.
% 1.95/2.17  0 [] $T.
% 1.95/2.17  0 [] $T.
% 1.95/2.17  0 [] $T.
% 1.95/2.17  0 [] $T.
% 1.95/2.17  0 [] -v1_relat_1(A)|v1_relat_1(k7_relat_1(A,B)).
% 1.95/2.17  0 [] -m1_pboole(B,A)|v1_relat_1(B).
% 1.95/2.17  0 [] -m1_pboole(B,A)|v1_funct_1(B).
% 1.95/2.17  0 [] $T.
% 1.95/2.17  0 [] m1_pboole($f3(A),A).
% 1.95/2.17  0 [] m1_subset_1($f4(A),A).
% 1.95/2.17  0 [] -v1_finset_1(B)|v1_finset_1(k3_xboole_0(A,B)).
% 1.95/2.17  0 [] -v1_finset_1(A)|v1_finset_1(k3_xboole_0(A,B)).
% 1.95/2.17  0 [] v1_xboole_0(k1_xboole_0).
% 1.95/2.17  0 [] v1_xboole_0(A)| -v2_relat_1(B)| -m1_pboole(B,A)| -m1_subset_1(C,A)| -v1_xboole_0(k1_funct_1(B,C)).
% 1.95/2.17  0 [] -v1_relat_1(A)| -v1_funct_1(A)|v1_relat_1(k7_relat_1(A,B)).
% 1.95/2.17  0 [] -v1_relat_1(A)| -v1_funct_1(A)|v1_funct_1(k7_relat_1(A,B)).
% 1.95/2.17  0 [] v1_xboole_0(B)| -m1_pboole(C,B)| -r2_hidden(A,a_2_0_closure3(B,C))|m1_subset_1($f5(A,B,C),B).
% 1.95/2.17  0 [] v1_xboole_0(B)| -m1_pboole(C,B)| -r2_hidden(A,a_2_0_closure3(B,C))|A=$f5(A,B,C).
% 1.95/2.17  0 [] v1_xboole_0(B)| -m1_pboole(C,B)| -r2_hidden(A,a_2_0_closure3(B,C))|k1_funct_1(C,$f5(A,B,C))!=k1_xboole_0.
% 1.95/2.17  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.
% 1.95/2.17  0 [] v1_xboole_0(B)| -v2_relat_1(C)| -m1_pboole(C,B)| -r2_hidden(A,a_2_1_closure3(B,C))|m1_subset_1($f6(A,B,C),B).
% 1.95/2.17  0 [] v1_xboole_0(B)| -v2_relat_1(C)| -m1_pboole(C,B)| -r2_hidden(A,a_2_1_closure3(B,C))|A=$f6(A,B,C).
% 1.95/2.17  0 [] v1_xboole_0(B)| -v2_relat_1(C)| -m1_pboole(C,B)| -r2_hidden(A,a_2_1_closure3(B,C))|k1_funct_1(C,$f6(A,B,C))!=k1_xboole_0.
% 1.95/2.17  0 [] v1_xboole_0(B)| -v2_relat_1(C)| -m1_pboole(C,B)|r2_hidden(A,a_2_1_closure3(B,C))| -m1_subset_1(D,B)|A!=D|k1_funct_1(C,D)=k1_xboole_0.
% 1.95/2.17  0 [] k3_xboole_0(A,A)=A.
% 1.95/2.17  0 [] v1_xboole_0($c4).
% 1.95/2.17  0 [] v1_relat_1($c4).
% 1.95/2.17  0 [] v1_funct_1($c4).
% 1.95/2.17  0 [] v2_funct_1($c4).
% 1.95/2.17  0 [] v1_finset_1($c4).
% 1.95/2.17  0 [] v1_fraenkel($c4).
% 1.95/2.17  0 [] -v1_xboole_0($c5).
% 1.95/2.17  0 [] v1_finset_1($c5).
% 1.95/2.17  0 [] v1_relat_1($c6).
% 1.95/2.17  0 [] v1_funct_1($c6).
% 1.95/2.17  0 [] v1_relat_1($c7).
% 1.95/2.17  0 [] v3_relat_1($c7).
% 1.95/2.17  0 [] v1_funct_1($c7).
% 1.95/2.17  0 [] v1_xboole_0($c8).
% 1.95/2.17  0 [] v1_relat_1($c9).
% 1.95/2.17  0 [] v1_xboole_0($c9).
% 1.95/2.17  0 [] v1_funct_1($c9).
% 1.95/2.17  0 [] m1_pboole($f7(A),A).
% 1.95/2.17  0 [] v1_relat_1($f7(A)).
% 1.95/2.17  0 [] v3_relat_1($f7(A)).
% 1.95/2.17  0 [] v1_funct_1($f7(A)).
% 1.95/2.17  0 [] -v1_xboole_0($c10).
% 1.95/2.17  0 [] v1_relat_1($c11).
% 1.95/2.17  0 [] v1_funct_1($c11).
% 1.95/2.17  0 [] v2_funct_1($c11).
% 1.95/2.17  0 [] m1_pboole($f8(A),A).
% 1.95/2.17  0 [] v1_relat_1($f8(A)).
% 1.95/2.17  0 [] v2_relat_1($f8(A)).
% 1.95/2.17  0 [] v1_funct_1($f8(A)).
% 1.95/2.17  0 [] v1_relat_1($c12).
% 1.95/2.17  0 [] v3_relat_1($c12).
% 1.95/2.17  0 [] v1_funct_1($c12).
% 1.95/2.17  0 [] v1_relat_1($c13).
% 1.95/2.17  0 [] v2_relat_1($c13).
% 1.95/2.17  0 [] v1_funct_1($c13).
% 1.95/2.17  0 [] -m1_pboole(B,A)| -m1_pboole(C,A)| -r6_pboole(A,B,C)|B=C.
% 1.95/2.17  0 [] -m1_pboole(B,A)| -m1_pboole(C,A)|r6_pboole(A,B,C)|B!=C.
% 1.95/2.17  0 [] -m1_pboole(B,A)| -m1_pboole(C,A)|r6_pboole(A,B,B).
% 1.95/2.17  0 [] -m1_pboole(B,A)| -m1_pboole(C,A)| -r6_pboole(A,B,C)|r6_pboole(A,C,B).
% 1.95/2.17  0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 1.95/2.17  0 [] k3_xboole_0(A,k1_xboole_0)=k1_xboole_0.
% 1.95/2.17  0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 1.95/2.17  0 [] r2_hidden($f9(A,B),A)|r2_hidden($f9(A,B),B)|A=B.
% 1.95/2.17  0 [] -r2_hidden($f9(A,B),A)| -r2_hidden($f9(A,B),B)|A=B.
% 1.95/2.17  0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 1.95/2.17  0 [] -v1_relat_1(C)| -v1_funct_1(C)| -r2_hidden(B,k1_relat_1(k7_relat_1(C,A)))|k1_funct_1(k7_relat_1(C,A),B)=k1_funct_1(C,B).
% 1.95/2.17  0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 1.95/2.17  0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 1.95/2.17  0 [] -v1_relat_1(B)|k1_relat_1(k7_relat_1(B,A))=k3_xboole_0(k1_relat_1(B),A).
% 1.95/2.17  0 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)|k1_relat_1(A)!=k1_relat_1(B)|r2_hidden($f10(A,B),k1_relat_1(A))|A=B.
% 1.95/2.17  0 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)|k1_relat_1(A)!=k1_relat_1(B)|k1_funct_1(A,$f10(A,B))!=k1_funct_1(B,$f10(A,B))|A=B.
% 1.95/2.17  end_of_list.
% 1.95/2.17  
% 1.95/2.17  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.95/2.17  
% 1.95/2.17  This ia a non-Horn set with equality.  The strategy will be
% 1.95/2.17  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.95/2.17  deletion, with positive clauses in sos and nonpositive
% 1.95/2.17  clauses in usable.
% 1.95/2.17  
% 1.95/2.17     dependent: set(knuth_bendix).
% 1.95/2.17     dependent: set(anl_eq).
% 1.95/2.17     dependent: set(para_from).
% 1.95/2.17     dependent: set(para_into).
% 1.95/2.17     dependent: clear(para_from_right).
% 1.95/2.17     dependent: clear(para_into_right).
% 1.95/2.17     dependent: set(para_from_vars).
% 1.95/2.17     dependent: set(eq_units_both_ways).
% 1.95/2.17     dependent: set(dynamic_demod_all).
% 1.95/2.17     dependent: set(dynamic_demod).
% 1.95/2.17     dependent: set(order_eq).
% 1.95/2.17     dependent: set(back_demod).
% 1.95/2.17     dependent: set(lrpo).
% 1.95/2.17     dependent: set(hyper_res).
% 1.95/2.17     dependent: set(unit_deletion).
% 1.95/2.17     dependent: set(factor).
% 1.95/2.17  
% 1.95/2.17  ------------> process usable:
% 1.95/2.17  ** KEPT (pick-wt=2): 1 [] -v1_xboole_0($c3).
% 1.95/2.17  ** KEPT (pick-wt=4): 2 [] -r6_pboole($c3,$c2,$c1).
% 1.95/2.17  ** KEPT (pick-wt=6): 3 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 1.95/2.17  ** KEPT (pick-wt=4): 4 [] -v1_xboole_0(A)|v1_fraenkel(A).
% 1.95/2.17  ** KEPT (pick-wt=4): 5 [] -v1_xboole_0(A)|v1_finset_1(A).
% 1.95/2.17  ** KEPT (pick-wt=4): 6 [] -v1_xboole_0(A)|v1_funct_1(A).
% 1.95/2.17  ** KEPT (pick-wt=8): 7 [] -m1_pboole(A,B)| -v3_relat_1(A)|v1_pre_circ(A,B).
% 1.95/2.17  ** KEPT (pick-wt=9): 8 [] v1_xboole_0(A)| -m1_pboole(B,A)| -v2_relat_1(B)| -v3_relat_1(B).
% 1.95/2.17  ** KEPT (pick-wt=8): 9 [] -v1_relat_1(A)| -v1_xboole_0(A)| -v1_funct_1(A)|v2_funct_1(A).
% 1.95/2.17    Following clause subsumed by 8 during input processing: 0 [] v1_xboole_0(A)| -m1_pboole(B,A)| -v3_relat_1(B)| -v2_relat_1(B).
% 1.95/2.17  ** KEPT (pick-wt=12): 10 [] -m1_pboole(A,B)| -v2_relat_1(A)| -r2_hidden(C,B)| -v1_xboole_0(k1_funct_1(A,C)).
% 1.95/2.17  ** KEPT (pick-wt=10): 11 [] -m1_pboole(A,B)|v2_relat_1(A)|r2_hidden($f1(B,A),B).
% 1.95/2.17  ** KEPT (pick-wt=11): 12 [] -m1_pboole(A,B)|v2_relat_1(A)|v1_xboole_0(k1_funct_1(A,$f1(B,A))).
% 1.95/2.17  ** KEPT (pick-wt=15): 13 [] v1_xboole_0(A)| -m1_pboole(B,A)|C!=k1_closure3(A,B)|C=a_2_0_closure3(A,B).
% 1.95/2.17  ** KEPT (pick-wt=15): 14 [] v1_xboole_0(A)| -m1_pboole(B,A)|C=k1_closure3(A,B)|C!=a_2_0_closure3(A,B).
% 1.95/2.17  ** KEPT (pick-wt=11): 15 [] -v1_relat_1(A)| -v1_funct_1(A)| -m1_pboole(A,B)|k1_relat_1(A)=B.
% 1.95/2.17  ** KEPT (pick-wt=11): 16 [] -v1_relat_1(A)| -v1_funct_1(A)|m1_pboole(A,B)|k1_relat_1(A)!=B.
% 1.95/2.17  ** KEPT (pick-wt=11): 17 [] A!=k3_xboole_0(B,C)| -r2_hidden(D,A)|r2_hidden(D,B).
% 1.95/2.17  ** KEPT (pick-wt=11): 18 [] A!=k3_xboole_0(B,C)| -r2_hidden(D,A)|r2_hidden(D,C).
% 1.95/2.17  ** KEPT (pick-wt=14): 19 [] A!=k3_xboole_0(B,C)|r2_hidden(D,A)| -r2_hidden(D,B)| -r2_hidden(D,C).
% 1.95/2.17  ** KEPT (pick-wt=23): 20 [] A=k3_xboole_0(B,C)| -r2_hidden($f2(B,C,A),A)| -r2_hidden($f2(B,C,A),B)| -r2_hidden($f2(B,C,A),C).
% 1.95/2.17  ** KEPT (pick-wt=6): 21 [] -v1_relat_1(A)|v1_relat_1(k7_relat_1(A,B)).
% 1.95/2.17  ** KEPT (pick-wt=5): 22 [] -m1_pboole(A,B)|v1_relat_1(A).
% 1.95/2.17  ** KEPT (pick-wt=5): 23 [] -m1_pboole(A,B)|v1_funct_1(A).
% 1.95/2.17  ** KEPT (pick-wt=6): 24 [] -v1_finset_1(A)|v1_finset_1(k3_xboole_0(B,A)).
% 1.95/2.17  ** KEPT (pick-wt=6): 25 [] -v1_finset_1(A)|v1_finset_1(k3_xboole_0(A,B)).
% 1.95/2.17  ** KEPT (pick-wt=14): 26 [] 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)).
% 1.95/2.17    Following clause subsumed by 21 during input processing: 0 [] -v1_relat_1(A)| -v1_funct_1(A)|v1_relat_1(k7_relat_1(A,B)).
% 1.95/2.17  ** KEPT (pick-wt=8): 27 [] -v1_relat_1(A)| -v1_funct_1(A)|v1_funct_1(k7_relat_1(A,B)).
% 1.95/2.17  ** KEPT (pick-wt=16): 28 [] v1_xboole_0(A)| -m1_pboole(B,A)| -r2_hidden(C,a_2_0_closure3(A,B))|m1_subset_1($f5(C,A,B),A).
% 1.95/2.17  ** KEPT (pick-wt=16): 30 [copy,29,flip.4] v1_xboole_0(A)| -m1_pboole(B,A)| -r2_hidden(C,a_2_0_closure3(A,B))|$f5(C,A,B)=C.
% 1.95/2.17  ** KEPT (pick-wt=18): 31 [] v1_xboole_0(A)| -m1_pboole(B,A)| -r2_hidden(C,a_2_0_closure3(A,B))|k1_funct_1(B,$f5(C,A,B))!=k1_xboole_0.
% 1.95/2.17  ** KEPT (pick-wt=21): 32 [] v1_xboole_0(A)| -m1_pboole(B,A)|r2_hidden(C,a_2_0_closure3(A,B))| -m1_subset_1(D,A)|C!=D|k1_funct_1(B,D)=k1_xboole_0.
% 1.95/2.17  ** KEPT (pick-wt=18): 33 [] v1_xboole_0(A)| -v2_relat_1(B)| -m1_pboole(B,A)| -r2_hidden(C,a_2_1_closure3(A,B))|m1_subset_1($f6(C,A,B),A).
% 1.95/2.17  ** KEPT (pick-wt=18): 35 [copy,34,flip.5] v1_xboole_0(A)| -v2_relat_1(B)| -m1_pboole(B,A)| -r2_hidden(C,a_2_1_closure3(A,B))|$f6(C,A,B)=C.
% 1.95/2.17  ** KEPT (pick-wt=20): 36 [] v1_xboole_0(A)| -v2_relat_1(B)| -m1_pboole(B,A)| -r2_hidden(C,a_2_1_closure3(A,B))|k1_funct_1(B,$f6(C,A,B))!=k1_xboole_0.
% 1.95/2.17  ** KEPT (pick-wt=23): 37 [] v1_xboole_0(A)| -v2_relat_1(B)| -m1_pboole(B,A)|r2_hidden(C,a_2_1_closure3(A,B))| -m1_subset_1(D,A)|C!=D|k1_funct_1(B,D)=k1_xboole_0.
% 1.95/2.17  ** KEPT (pick-wt=2): 38 [] -v1_xboole_0($c5).
% 1.95/2.17  ** KEPT (pick-wt=2): 39 [] -v1_xboole_0($c10).
% 1.95/2.17  ** KEPT (pick-wt=13): 40 [] -m1_pboole(A,B)| -m1_pboole(C,B)| -r6_pboole(B,A,C)|A=C.
% 1.95/2.17  ** KEPT (pick-wt=13): 41 [] -m1_pboole(A,B)| -m1_pboole(C,B)|r6_pboole(B,A,C)|A!=C.
% 1.95/2.17  ** KEPT (pick-wt=7): 43 [copy,42,factor_simp] -m1_pboole(A,B)|r6_pboole(B,A,A).
% 1.95/2.17  ** KEPT (pick-wt=14): 44 [] -m1_pboole(A,B)| -m1_pboole(C,B)| -r6_pboole(B,A,C)|r6_pboole(B,C,A).
% 1.95/2.17  ** KEPT (pick-wt=6): 45 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 1.95/2.17  ** KEPT (pick-wt=8): 46 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 1.95/2.17  ** KEPT (pick-wt=13): 47 [] -r2_hidden($f9(A,B),A)| -r2_hidden($f9(A,B),B)|A=B.
% 1.95/2.17  ** KEPT (pick-wt=5): 48 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 1.95/2.17  ** KEPT (pick-wt=19): 49 [] -v1_relat_1(A)| -v1_funct_1(A)| -r2_hidden(B,k1_relat_1(k7_relat_1(A,C)))|k1_funct_1(k7_relat_1(A,C),B)=k1_funct_1(A,B).
% 1.95/2.17  ** KEPT (pick-wt=5): 50 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 1.95/2.17  ** KEPT (pick-wt=7): 51 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 1.95/2.17  ** KEPT (pick-wt=11): 52 [] -v1_relat_1(A)|k1_relat_1(k7_relat_1(A,B))=k3_xboole_0(k1_relat_1(A),B).
% 1.95/2.17  ** KEPT (pick-wt=22): 53 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)|k1_relat_1(A)!=k1_relat_1(B)|r2_hidden($f10(A,B),k1_relat_1(A))|A=B.
% 1.95/2.17  ** KEPT (pick-wt=27): 54 [] -v1_relat_1(A)| -v1_funct_1(A)| -v1_relat_1(B)| -v1_funct_1(B)|k1_relat_1(A)!=k1_relat_1(B)|k1_funct_1(A,$f10(A,B))!=k1_funct_1(B,$f10(A,B))|A=B.
% 1.95/2.17  
% 1.95/2.17  ------------> process sos:
% 1.95/2.17  ** KEPT (pick-wt=3): 66 [] A=A.
% 1.95/2.17  ** KEPT (pick-wt=2): 67 [] v2_relat_1($c2).
% 1.95/2.17  ** KEPT (pick-wt=3): 68 [] m1_pboole($c2,$c3).
% 1.95/2.17  ** KEPT (pick-wt=2): 69 [] v2_relat_1($c1).
% 1.95/2.17  ** KEPT (pick-wt=3): 70 [] m1_pboole($c1,$c3).
% 1.95/2.17  ** KEPT (pick-wt=7): 71 [] k1_closure3($c3,$c2)=k1_closure3($c3,$c1).
% 1.95/2.17  ---> New Demodulator: 72 [new_demod,71] k1_closure3($c3,$c2)=k1_closure3($c3,$c1).
% 1.95/2.17  ** KEPT (pick-wt=11): 74 [copy,73,demod,72] k7_relat_1($c2,k1_closure3($c3,$c1))=k7_relat_1($c1,k1_closure3($c3,$c1)).
% 1.95/2.17  ---> New Demodulator: 75 [new_demod,74] k7_relat_1($c2,k1_closure3($c3,$c1))=k7_relat_1($c1,k1_closure3($c3,$c1)).
% 1.95/2.17  ** KEPT (pick-wt=7): 76 [] k3_xboole_0(A,B)=k3_xboole_0(B,A).
% 1.95/2.17  ** KEPT (pick-wt=17): 77 [] A=k3_xboole_0(B,C)|r2_hidden($f2(B,C,A),A)|r2_hidden($f2(B,C,A),B).
% 1.95/2.17  ** KEPT (pick-wt=17): 78 [] A=k3_xboole_0(B,C)|r2_hidden($f2(B,C,A),A)|r2_hidden($f2(B,C,A),C).
% 1.95/2.17  ** KEPT (pick-wt=4): 79 [] m1_pboole($f3(A),A).
% 1.95/2.17  ** KEPT (pick-wt=4): 80 [] m1_subset_1($f4(A),A).
% 1.95/2.17  ** KEPT (pick-wt=2): 81 [] v1_xboole_0(k1_xboole_0).
% 1.95/2.17  ** KEPT (pick-wt=5): 82 [] k3_xbooAlarm clock 
% 299.84/300.02  Otter interrupted
% 299.84/300.02  PROOF NOT FOUND
%------------------------------------------------------------------------------