TSTP Solution File: SWV843-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV843-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n004.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  : 600s
% DateTime : Wed Jul 20 21:40:25 EDT 2022

% Result   : Unknown 0.83s 1.05s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem  : SWV843-1 : TPTP v8.1.0. Released v4.1.0.
% 0.14/0.14  % Command  : sos-script %s
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jun 14 19:36:09 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.53  ----- Otter 3.2, August 2001 -----
% 0.21/0.53  The process was started by sandbox on n004.cluster.edu,
% 0.21/0.53  Tue Jun 14 19:36:09 2022
% 0.21/0.53  The command was "./sos".  The process ID is 27408.
% 0.21/0.53  
% 0.21/0.53  set(prolog_style_variables).
% 0.21/0.53  set(auto).
% 0.21/0.53     dependent: set(auto1).
% 0.21/0.53     dependent: set(process_input).
% 0.21/0.53     dependent: clear(print_kept).
% 0.21/0.53     dependent: clear(print_new_demod).
% 0.21/0.53     dependent: clear(print_back_demod).
% 0.21/0.53     dependent: clear(print_back_sub).
% 0.21/0.53     dependent: set(control_memory).
% 0.21/0.53     dependent: assign(max_mem, 12000).
% 0.21/0.53     dependent: assign(pick_given_ratio, 4).
% 0.21/0.53     dependent: assign(stats_level, 1).
% 0.21/0.53     dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.53     dependent: assign(sos_limit, 5000).
% 0.21/0.53     dependent: assign(max_weight, 60).
% 0.21/0.53  clear(print_given).
% 0.21/0.53  
% 0.21/0.53  list(usable).
% 0.21/0.53  
% 0.21/0.53  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.21/0.53  
% 0.21/0.53  This ia a non-Horn set with equality.  The strategy will be
% 0.21/0.53  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.21/0.53  unit deletion, with positive clauses in sos and nonpositive
% 0.21/0.53  clauses in usable.
% 0.21/0.53  
% 0.21/0.53     dependent: set(knuth_bendix).
% 0.21/0.53     dependent: set(para_from).
% 0.21/0.53     dependent: set(para_into).
% 0.21/0.53     dependent: clear(para_from_right).
% 0.21/0.53     dependent: clear(para_into_right).
% 0.21/0.53     dependent: set(para_from_vars).
% 0.21/0.53     dependent: set(eq_units_both_ways).
% 0.21/0.53     dependent: set(dynamic_demod_all).
% 0.21/0.53     dependent: set(dynamic_demod).
% 0.21/0.53     dependent: set(order_eq).
% 0.21/0.53     dependent: set(back_demod).
% 0.21/0.53     dependent: set(lrpo).
% 0.21/0.53     dependent: set(hyper_res).
% 0.21/0.53     dependent: set(unit_deletion).
% 0.21/0.53     dependent: set(factor).
% 0.21/0.53  
% 0.21/0.53  ------------> process usable:
% 0.21/0.53    Following clause subsumed by 7 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.21/0.53    Following clause subsumed by 17 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)).
% 0.21/0.53    Following clause subsumed by 18 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.21/0.53    Following clause subsumed by 15 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),D),B)),C)).
% 0.21/0.53    Following clause subsumed by 16 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),D)),C)).
% 0.21/0.53    Following clause subsumed by 27 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))|C=E|B=D.
% 0.21/0.53    Following clause subsumed by 30 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(B)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.21/0.53    Following clause subsumed by 43 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),A)).
% 0.21/0.53    Following clause subsumed by 58 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|C=B.
% 0.21/0.53    Following clause subsumed by 58 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|C=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.21/0.53    Following clause subsumed by 58 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.21/0.53    Following clause subsumed by 65 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.21/0.53    Following clause subsumed by 1 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)).
% 0.21/0.53    Following clause subsumed by 73 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),D)).
% 0.21/0.53    Following clause subsumed by 3 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D))).
% 0.21/0.53    Following clause subsumed by 2 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),D),C))).
% 0.21/0.53    Following clause subsumed by 78 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 0.21/0.53    Following clause subsumed by 88 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(A)),B)).
% 0.21/0.53    Following clause subsumed by 89 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(A)),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.21/0.53    Following clause subsumed by 96 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)).
% 0.21/0.53    Following clause subsumed by 96 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)).
% 0.21/0.53    Following clause subsumed by 105 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),C)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),C),B)).
% 0.21/0.53    Following clause subsumed by 112 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.21/0.53    Following clause subsumed by 112 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.21/0.53    Following clause subsumed by 99 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),E)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D).
% 0.21/0.53    Following clause subsumed by 120 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.21/0.53    Following clause subsumed by 130 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),A))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(A))).
% 0.21/0.53    Following clause subsumed by 132 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B).
% 0.21/0.53    Following clause subsumed by 148 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.21/0.53    Following clause subsumed by 148 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.21/0.53    Following clause subsumed by 172 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(A,B),hAPP(hAPP(D,C),E)))| -c_Lattices_Olower__semilattice(A,F,D,G).
% 0.21/0.53    Following clause subsumed by 171 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(A,B),hAPP(hAPP(D,E),C)))| -c_Lattices_Olower__semilattice(A,F,D,G).
% 0.21/0.53    Following clause subsumed by 179 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.21/0.53    Following clause subsumed by 179 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.21/0.53    Following clause subsumed by 182 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),D))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),C)).
% 0.21/0.53    Following clause subsumed by 196 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.21/0.53    Following clause subsumed by 233 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C))|C=B.
% 0.21/0.53    Following clause subsumed by 46 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_lessequals(A),B),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 0.21/0.53    Following clause subsumed by 240 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B))|hBOOL(hAPP(hAPP(c_lessequals(A),B),B)).
% 0.21/0.53    Following clause subsumed by 240 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.21/0.53    Following clause subsumed by 241 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.21/0.53    Following clause subsumed by 240 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_lessequals(A),C),B)).
% 0.21/0.53    Following clause subsumed by 253 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),C),B)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),C))| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),B),A)).
% 0.21/0.53    Following clause subsumed by 260 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),hAPP(hAPP(C,D),E)))| -hBOOL(hAPP(hAPP(A,B),E))| -hBOOL(hAPP(hAPP(A,B),D))| -c_Lattices_Olower__semilattice(A,F,C,G).
% 0.21/0.53    Following clause subsumed by 260 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),hAPP(hAPP(C,D),E)))| -hBOOL(hAPP(hAPP(A,B),E))| -hBOOL(hAPP(hAPP(A,B),D))| -c_Lattices_Olower__semilattice(A,F,C,G).
% 0.21/0.53    Following clause subsumed by 268 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 0.21/0.54    Following clause subsumed by 269 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(hAPP(c_Orderings_Oord__class_Omax(A),C),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 0.21/0.54    Following clause subsumed by 277 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)).
% 0.21/0.54    Following clause subsumed by 278 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_Orderings_Oord__class_Omin(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),D)).
% 0.21/0.54    Following clause subsumed by 294 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))).
% 0.21/0.54    Following clause subsumed by 295 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C))).
% 0.21/0.54    Following clause subsumed by 301 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C).
% 0.21/0.54    Following clause subsumed by 235 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),B)).
% 0.21/0.54    Following clause subsumed by 235 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))|A=B| -hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),B)).
% 0.21/0.54    Following clause subsumed by 319 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.21/0.54    Following clause subsumed by 234 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(C,tc_bool)),A),B))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),A),B)).
% 0.21/0.54    Following clause subsumed by 319 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.21/0.54    Following clause subsumed by 319 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C))|B=C.
% 0.21/0.54    Following clause subsumed by 320 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.21/0.54    Following clause subsumed by 326 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.21/0.54    Following clause subsumed by 326 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.21/0.54    Following clause subsumed by 337 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.21/0.54    Following clause subsumed by 375 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,D)|hAPP(c_Fun_Othe__inv__into(B,A,C,D),hAPP(A,E))=E| -hBOOL(c_in(E,B,C)).
% 0.21/0.54    Following clause subsumed by 429 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.21/0.54    Following clause subsumed by 429 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.21/0.54    Following clause subsumed by 429 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.21/0.54    Following clause subsumed by 436 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(A)),c_Suc(B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.21/0.54    Following clause subsumed by 438 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))).
% 0.21/0.54    Following clause subsumed by 439 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)),B)).
% 0.21/0.54    Following clause subsumed by 440 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))).
% 0.21/0.54    Following clause subsumed by 441 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)),B)).
% 0.21/0.54    Following clause subsumed by 442 during input processing: 0 [] {-} hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 0.21/0.54    Following clause subsumed by 498 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)).
% 0.21/0.54    Following clause subsumed by 498 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),D))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)).
% 0.21/0.54    Following clause subsumed by 572 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),D),B))| -hBOOL(c_in(A,D,C)).
% 0.21/0.54    Following clause subsumed by 572 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),D),B)).
% 0.21/0.54    Following clause subsumed by 572 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),D),B)).
% 0.21/0.54    Following clause subsumed by 578 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 0.21/0.54    Following clause subsumed by 578 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 0.21/0.54    Following clause subsumed by 578 during input processing: 0 [] {-} hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E)).
% 0.21/0.54    Following clause subsumed by 579 during input processing: 0 [] {-} hBOOL(c_in(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(B,tc_bool)),C),D),B))|hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 0.21/0.54    Following clause subsumed by 580 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 0.21/0.54    Following clause subsumed by 580 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Ovimage(B,C,D,E),D))| -hBOOL(c_in(hAPP(B,A),C,E)).
% 0.21/0.54    Following clause subsumed by 581 during input processing: 0 [] {-} hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,c_Set_Ovimage(A,C,E,D),E)).
% 0.21/0.54    Following clause subsumed by 584 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,tc_bool)),A),C)).
% 0.21/0.55    Following clause subsumed by 588 during input processing: 0 [] {-} c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 0.21/0.55    Following clause subsumed by 612 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),c_Set_Oimage(B,C,D,A)),c_Set_Oimage(B,E,D,A)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(D,tc_bool)),C),E)).
% 0.21/0.55    Following clause subsumed by 613 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(c_in(C,B,A))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))),D)).
% 0.21/0.55    Following clause subsumed by 609 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),D))|hBOOL(c_in(C,B,A)).
% 0.21/0.55    Following clause subsumed by 609 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),D))|hBOOL(c_in(C,B,A)).
% 0.21/0.55    Following clause subsumed by 618 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),c_Set_Oinsert(D,C,A)))|hBOOL(c_in(D,B,A)).
% 0.21/0.55    Following clause subsumed by 501 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),C),D))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),D)).
% 0.21/0.55    Following clause subsumed by 612 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),c_Set_Oimage(B,C,D,A)),c_Set_Oimage(B,E,D,A)))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(D,tc_bool)),C),E))| -c_Fun_Oinj__on(B,c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)),D,A).
% 0.21/0.55    Following clause subsumed by 661 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),B),A))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),A),B)).
% 0.21/0.55    Following clause subsumed by 662 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lessequals(A),C),B))| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)).
% 0.21/0.55    Following clause subsumed by 662 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),C),B)).
% 0.21/0.55    Following clause subsumed by 679 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B)),C)).
% 0.21/0.55    Following clause subsumed by 680 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(hAPP(c_lessequals(A),B),C))| -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),C)).
% 0.21/0.55    Following clause subsumed by 689 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(C,tc_bool)),D),A))| -hBOOL(hAPP(D,B)).
% 0.21/0.55    Following clause subsumed by 676 during input processing: 0 [flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 0.21/0.55    Following clause subsumed by 733 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 0.21/0.55    Following clause subsumed by 735 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 0.21/0.55    Following clause subsumed by 735 during input processing: 0 [] {-} -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.21/0.55    Following clause subsumed by 735 during input processing: 0 [] {-} -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.21/0.55    Following clause subsumed by 735 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 0.37/0.56    Following clause subsumed by 750 during input processing: 0 [] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(c_in(A,B,C)).
% 0.37/0.56    Following clause subsumed by 763 during input processing: 0 [] {-} -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),c_Set_Oimage(D,B,C,E),E)).
% 0.37/0.56    Following clause subsumed by 763 during input processing: 0 [] {-} hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 0.37/0.56    Following clause subsumed by 763 during input processing: 0 [] {-} hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E))| -hBOOL(c_in(B,C,D)).
% 0.37/0.56  283 back subsumes 193.
% 0.37/0.56  326 back subsumes 35.
% 0.37/0.56  327 back subsumes 36.
% 0.37/0.56  591 back subsumes 589.
% 0.37/0.56  609 back subsumes 603.
% 0.37/0.56  697 back subsumes 604.
% 0.37/0.56    Following clause subsumed by 750 during input processing: 0 [copy,736,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.37/0.56    Following clause subsumed by 736 during input processing: 0 [copy,750,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.37/0.56  750 back subsumes 726.
% 0.37/0.56  762 back subsumes 585.
% 0.37/0.56  763 back subsumes 597.
% 0.37/0.56  
% 0.37/0.56  ------------> process sos:
% 0.37/0.56    Following clause subsumed by 881 during input processing: 0 [factor_simp] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),C))|C=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),C),B)).
% 0.37/0.56    Following clause subsumed by 881 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),A))|B=A.
% 0.37/0.56    Following clause subsumed by 892 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(A))).
% 0.37/0.56    Following clause subsumed by 898 during input processing: 0 [demod,896] {-} C=C.
% 0.37/0.56    Following clause subsumed by 898 during input processing: 0 [demod,894] {-} A=A.
% 0.37/0.56    Following clause subsumed by 909 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_nat),A),A)).
% 0.37/0.56    Following clause subsumed by 912 during input processing: 0 [] {-} hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 0.37/0.56    Following clause subsumed by 909 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_nat),c_Suc(A)),c_Suc(A))).
% 0.37/0.56    Following clause subsumed by 892 during input processing: 0 [unit_del,43] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(A))).
% 0.37/0.56    Following clause subsumed by 913 during input processing: 0 [] {-} hAPP(hAPP(c_COMBC(v_P,t_a,t_b,t_c),v_Q),v_R)=hAPP(hAPP(v_P,v_R),v_Q).
% 0.37/0.56    Following clause subsumed by 898 during input processing: 0 [demod,942,951,1010,942] {-} hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.37/0.56    Following clause subsumed by 898 during input processing: 0 [demod,942,976] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.37/0.56    Following clause subsumed by 1064 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_lessequals(tc_fun(A,tc_bool)),B),B)).
% 0.37/0.56    Following clause subsumed by 898 during input processing: 0 [demod,1027,1014] {-} c_Set_Oinsert(A,B,C)=c_Set_Oinsert(A,B,C).
% 0.37/0.56    Following clause subsumed by 898 during input processing: 0 [demod,1050] {-} v_P=v_P.
% 0.37/0.56    Following clause subsumed by 1096 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 0.37/0.56    Following clause subsumed by 1096 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 0.37/0.56    Following clause subsumed by 1097 during input processing: 0 [] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 0.37/0.56    Following clause subsumed by 1100 during input processing: 0 [] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.37/0.56    Following clause subsumed by 913 during input processing: 0 [] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.37/0.56    Following clause subsumed by 898 during input processing: 0 [demod,1099] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.37/0.56    Following clause subsumed by 898 during input processing: 0 [] {-} A=A.
% 0.39/0.58    Following clause subsumed by 898 during input processing: 0 [copy,898,flip.1] {-} A=A.
% 0.39/0.58  898 back subsumes 861.
% 0.39/0.58  898 back subsumes 850.
% 0.39/0.58  898 back subsumes 849.
% 0.39/0.58  898 back subsumes 848.
% 0.39/0.58  898 back subsumes 843.
% 0.39/0.58  898 back subsumes 813.
% 0.39/0.58  898 back subsumes 796.
% 0.39/0.58  898 back subsumes 795.
% 0.39/0.58  898 back subsumes 794.
% 0.39/0.58  909 back subsumes 812.
% 0.39/0.58    Following clause subsumed by 922 during input processing: 0 [copy,922,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),C)),B).
% 0.39/0.58    Following clause subsumed by 991 during input processing: 0 [copy,991,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),B).
% 0.39/0.58    Following clause subsumed by 1147 during input processing: 0 [copy,1015,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),B).
% 0.39/0.58  1018 back subsumes 1008.
% 0.39/0.58  1018 back subsumes 937.
% 0.39/0.58    Following clause subsumed by 1045 during input processing: 0 [copy,1045,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 0.39/0.58  1064 back subsumes 829.
% 0.39/0.58    Following clause subsumed by 1102 during input processing: 0 [copy,1069,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(c_COMBK(B,A,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 0.39/0.58  1096 back subsumes 1082.
% 0.39/0.58    Following clause subsumed by 1097 during input processing: 0 [copy,1097,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.39/0.58    Following clause subsumed by 1102 during input processing: 0 [copy,1101,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 0.39/0.58  1101 back subsumes 1069.
% 0.39/0.58    Following clause subsumed by 1101 during input processing: 0 [copy,1102,flip.1] {-} c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.39/0.58    Following clause subsumed by 1143 during input processing: 0 [copy,1143,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),C),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),D))))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),C),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),D)))).
% 0.39/0.58    Following clause subsumed by 1015 during input processing: 0 [copy,1146,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.39/0.58    Following clause subsumed by 1015 during input processing: 0 [copy,1147,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.39/0.58  1147 back subsumes 1146.
% 0.39/0.58    Following clause subsumed by 992 during input processing: 0 [copy,1148,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),D))),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),C),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),D))).
% 0.39/0.58    Following clause subsumed by 1200 during input processing: 0 [copy,1149,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),C))),D)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),C)),D)).
% 0.39/0.58    Following clause subsumed by 913 during input processing: 0 [copy,1157,flip.1] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.39/0.58    Following clause subsumed by 1158 during input processing: 0 [copy,1158,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),C),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B)).
% 0.39/0.58    Following clause subsumed by 923 during input processing: 0 [copy,1159,flip.1] {-} c_Set_Ovimage(A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),C),D,B)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(D,tc_bool)),c_Set_Ovimage(A,C,D,B)).
% 0.39/0.58    Following clause subsumed by 1190 during input processing: 0 [copy,1180,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),C),B)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.39/0.58    Following clause subsumed by 946 during input processing: 0 [copy,1181,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B))=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.39/0.58    Following clause subsumed by 1183 during input processing: 0 [copy,1182,flip.1] {-} hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),B))=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 0.39/0.58    Following clause subsumed by 1182 during input processing: 0 [copy,1183,flip.1] {-} hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),B)).
% 0.39/0.58    Following clause subsumed by 1187 during input processing: 0 [copy,1184,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),C)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),D))).
% 0.39/0.58    Following clause subsumed by 1184 during input processing: 0 [copy,1187,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),C)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),D)))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 0.39/0.58    Following clause subsumed by 1180 during input processing: 0 [copy,1190,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),C),B))).
% 0.39/0.58    Following clause subsumed by 1149 during input processing: 0 [copy,1200,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),D)),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),D))),C).
% 0.39/0.58    Following clause subsumed by 968 during input processing: 0 [copy,1236,flip.1] {-} c_Set_Ovimage(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(B,tc_bool)),C),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),D)),E,B)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(E,tc_bool)),c_Set_Ovimage(A,C,E,B)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(E,tc_bool)),c_Set_Ovimage(A,D,E,B))).
% 0.39/0.58    Following clause subsumed by 988 during input processing: 0 [copy,1237,flip.1] {-} c_Set_Ovimage(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),E,B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Set_Ovimage(A,C,E,B)),c_Set_Ovimage(A,D,E,B)).
% 0.39/0.58    Following clause subsumed by 992 during input processing: 0 [copy,1238,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),C),D)).
% 0.39/0.58  1238 back subsumes 1148.
% 0.39/0.58    Following clause subsumed by 1001 during input processing: 0 [copy,1239,flip.1] {-} c_Finite__Set_Ocard(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)=c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.39/0.58    Following clause subsumed by 1005 during input processing: 0 [copy,1240,flip.1] {-} c_Set_Ovimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.39/0.58    Following clause subsumed by 1028 during input processing: 0 [copy,1243,flip.1] {-} c_Set_Oimage(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B,E)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Set_Oimage(A,C,B,E)),c_Set_Oimage(A,D,B,E)).
% 0.39/0.58    Following clause subsumed by 1053 during input processing: 0 [copy,1245,flip.1] {-} c_Set_Ovimage(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(B,tc_bool)),C),D),E,B)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(E,tc_bool)),c_Set_Ovimage(A,C,E,B)),c_Set_Ovimage(A,D,E,B)).
% 0.39/0.58    Following clause subsumed by 1056 during input processing: 0 [copy,1246,flip.1] {-} c_Set_Ovimage(A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),C,B)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(C,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 0.39/0.58    Following clause subsumed by 1100 during input processing: 0 [copy,1252,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.39/0.58  1252 back subsumes 1079.
% 0.39/0.58    Following clause subsumed by 1260 during input processing: 0 [copy,1259,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),C)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),D))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),D),C))).
% 0.39/0.58    Following clause subsumed by 1259 during input processing: 0 [copy,1260,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),C),D)))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),D)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),C)).
% 0.39/0.58  
% 0.39/0.58  ======= end of input processing =======
% 0.83/1.05  
% 0.83/1.05  
% 0.83/1.05  
% 0.83/1.05   Aborting on detection of an error:
% 0.83/1.05  
% 0.83/1.05   Too many clauses (whew!).
% 0.83/1.05  
%------------------------------------------------------------------------------