TSTP Solution File: SWV854-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV854-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n015.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 21:40:27 EDT 2022

% Result   : Unknown 0.60s 0.85s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV854-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n015.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  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 05:28:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  ----- Otter 3.2, August 2001 -----
% 0.18/0.44  The process was started by sandbox on n015.cluster.edu,
% 0.18/0.44  Thu Jun 16 05:28:41 2022
% 0.18/0.44  The command was "./sos".  The process ID is 6459.
% 0.18/0.44  
% 0.18/0.44  set(prolog_style_variables).
% 0.18/0.44  set(auto).
% 0.18/0.44     dependent: set(auto1).
% 0.18/0.44     dependent: set(process_input).
% 0.18/0.44     dependent: clear(print_kept).
% 0.18/0.44     dependent: clear(print_new_demod).
% 0.18/0.44     dependent: clear(print_back_demod).
% 0.18/0.44     dependent: clear(print_back_sub).
% 0.18/0.44     dependent: set(control_memory).
% 0.18/0.44     dependent: assign(max_mem, 12000).
% 0.18/0.44     dependent: assign(pick_given_ratio, 4).
% 0.18/0.44     dependent: assign(stats_level, 1).
% 0.18/0.44     dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.44     dependent: assign(sos_limit, 5000).
% 0.18/0.44     dependent: assign(max_weight, 60).
% 0.18/0.44  clear(print_given).
% 0.18/0.44  
% 0.18/0.44  list(usable).
% 0.18/0.44  
% 0.18/0.44  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.18/0.44  
% 0.18/0.44  This ia a non-Horn set with equality.  The strategy will be
% 0.18/0.44  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.44  unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.44  clauses in usable.
% 0.18/0.44  
% 0.18/0.44     dependent: set(knuth_bendix).
% 0.18/0.44     dependent: set(para_from).
% 0.18/0.44     dependent: set(para_into).
% 0.18/0.44     dependent: clear(para_from_right).
% 0.18/0.44     dependent: clear(para_into_right).
% 0.18/0.44     dependent: set(para_from_vars).
% 0.18/0.44     dependent: set(eq_units_both_ways).
% 0.18/0.44     dependent: set(dynamic_demod_all).
% 0.18/0.44     dependent: set(dynamic_demod).
% 0.18/0.44     dependent: set(order_eq).
% 0.18/0.44     dependent: set(back_demod).
% 0.18/0.44     dependent: set(lrpo).
% 0.18/0.44     dependent: set(hyper_res).
% 0.18/0.44     dependent: set(unit_deletion).
% 0.18/0.44     dependent: set(factor).
% 0.18/0.44  
% 0.18/0.44  ------------> process usable:
% 0.18/0.44    Following clause subsumed by 7 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,c_Orderings_Oord__class_Omin(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.18/0.44    Following clause subsumed by 7 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,c_Orderings_Oord__class_Omin(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.18/0.44    Following clause subsumed by 13 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.18/0.44    Following clause subsumed by 13 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.18/0.44    Following clause subsumed by 45 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),B,tc_nat)))|hBOOL(hAPP(A,C)).
% 0.18/0.44    Following clause subsumed by 53 during input processing: 0 [] {-} -c_lessequals(A,A,tc_nat)|c_HOL_Oord__class_Oless(A,hAPP(c_Suc,A),tc_nat).
% 0.18/0.44    Following clause subsumed by 71 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)).
% 0.18/0.44    Following clause subsumed by 71 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)).
% 0.18/0.44    Following clause subsumed by 79 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.18/0.44    Following clause subsumed by 81 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_lessequals(A,C,tc_nat).
% 0.18/0.44    Following clause subsumed by 82 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.18/0.44    Following clause subsumed by 97 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.18/0.44    Following clause subsumed by 97 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.44    Following clause subsumed by 99 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.44    Following clause subsumed by 97 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.18/0.44    Following clause subsumed by 107 during input processing: 0 [] {-} c_lessequals(hAPP(c_Suc,A),B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.18/0.44    Following clause subsumed by 108 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(hAPP(c_Suc,A),B,tc_nat).
% 0.18/0.44    Following clause subsumed by 109 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.18/0.44    Following clause subsumed by 110 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 0.18/0.44    Following clause subsumed by 120 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).
% 0.18/0.44    Following clause subsumed by 128 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.44    Following clause subsumed by 133 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.44    Following clause subsumed by 140 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_lessequals(C,D,A).
% 0.18/0.44    Following clause subsumed by 141 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_lessequals(B,D,A).
% 0.18/0.44    Following clause subsumed by 138 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Orderings_Oord__class_Omin(D,C,A),A).
% 0.18/0.44    Following clause subsumed by 139 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Orderings_Oord__class_Omin(C,D,A),A).
% 0.18/0.44    Following clause subsumed by 142 during input processing: 0 [] {-} c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 0.18/0.44    Following clause subsumed by 164 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_lessequals(B,D,A).
% 0.18/0.44    Following clause subsumed by 165 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_lessequals(B,C,A).
% 0.18/0.44    Following clause subsumed by 162 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(c_Orderings_Oord__class_Omax(D,B,A),C,A).
% 0.18/0.44    Following clause subsumed by 163 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)| -c_lessequals(c_Orderings_Oord__class_Omax(B,D,A),C,A).
% 0.18/0.44    Following clause subsumed by 1 during input processing: 0 [flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 0.18/0.44    Following clause subsumed by 183 during input processing: 0 [] {-} c_lessequals(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)| -c_lessequals(A,C,tc_nat)| -c_lessequals(B,C,tc_nat)| -c_lessequals(B,A,tc_nat).
% 0.18/0.44    Following clause subsumed by 186 during input processing: 0 [] {-} c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 0.18/0.44    Following clause subsumed by 200 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 0.18/0.44    Following clause subsumed by 201 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 0.18/0.44    Following clause subsumed by 213 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 0.18/0.44    Following clause subsumed by 214 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 0.18/0.44    Following clause subsumed by 23 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)).
% 0.18/0.44    Following clause subsumed by 226 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 0.18/0.44    Following clause subsumed by 246 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.18/0.44    Following clause subsumed by 244 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(A,D,E,F,G,H).
% 0.18/0.44    Following clause subsumed by 246 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.18/0.44    Following clause subsumed by 241 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.18/0.44    Following clause subsumed by 241 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.18/0.44    Following clause subsumed by 251 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),hAPP(hAPP(A,D),E))=hAPP(hAPP(A,D),hAPP(hAPP(A,hAPP(hAPP(A,B),C)),E))| -c_Groebner__Basis_Ogb__semiring(F,A,G,H,I,J).
% 0.18/0.44    Following clause subsumed by 241 during input processing: 0 [] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),hAPP(hAPP(A,D),E))=hAPP(hAPP(A,B),hAPP(hAPP(A,C),hAPP(hAPP(A,D),E)))| -c_Groebner__Basis_Ogb__semiring(F,A,G,H,I,J).
% 0.18/0.44    Following clause subsumed by 263 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.18/0.44    Following clause subsumed by 276 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 0.18/0.44    Following clause subsumed by 280 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.18/0.44    Following clause subsumed by 280 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.18/0.44    Following clause subsumed by 276 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.44    Following clause subsumed by 276 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.44    Following clause subsumed by 257 during input processing: 0 [] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSKIP.
% 0.18/0.44    Following clause subsumed by 287 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.18/0.44    Following clause subsumed by 309 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(A,B,tc_nat)),B)=A| -c_lessequals(B,A,tc_nat).
% 0.18/0.44    Following clause subsumed by 175 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Ominus__class_Ominus(B,C,tc_nat))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),C,tc_nat)| -c_lessequals(C,B,tc_nat).
% 0.18/0.44    Following clause subsumed by 177 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(A,B,tc_nat)),C)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C),B,tc_nat)| -c_lessequals(B,A,tc_nat).
% 0.18/0.44    Following clause subsumed by 263 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.18/0.44    Following clause subsumed by 121 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(A),B,C,A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(A),c_HOL_Oplus__class_Oplus(A),B,C,A)).
% 0.18/0.44    Following clause subsumed by 242 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,B,G).
% 0.18/0.44    Following clause subsumed by 243 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=B| -c_Groebner__Basis_Ogb__semiring(D,A,E,B,F,G).
% 0.18/0.44    Following clause subsumed by 239 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,G,H).
% 0.18/0.44    Following clause subsumed by 247 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(A,D,E,B,F,G).
% 0.18/0.44    Following clause subsumed by 206 during input processing: 0 [] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 0.18/0.44    Following clause subsumed by 357 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 0.18/0.44    Following clause subsumed by 110 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 0.18/0.44    Following clause subsumed by 109 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 0.18/0.44    Following clause subsumed by 375 during input processing: 0 [] {-} c_Natural_Oevalc(A,B,C)| -c_Natural_Oevaln(A,B,D,C).
% 0.18/0.44    Following clause subsumed by 376 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 0.18/0.44    Following clause subsumed by 377 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 0.18/0.44    Following clause subsumed by 377 during input processing: 0 [] {-} -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.18/0.44    Following clause subsumed by 377 during input processing: 0 [] {-} -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.18/0.44    Following clause subsumed by 379 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.
% 0.18/0.44    Following clause subsumed by 379 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.
% 0.18/0.44    Following clause subsumed by 379 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)).
% 0.18/0.44    Following clause subsumed by 377 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 0.18/0.44    Following clause subsumed by 389 during input processing: 0 [] {-} hAPP(hAPP(A,B),hAPP(c_Suc,C))=hAPP(hAPP(D,B),hAPP(hAPP(A,B),C))| -c_Groebner__Basis_Ogb__semiring(E,D,A,F,G,H).
% 0.18/0.44    Following clause subsumed by 222 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(A,B,tc_nat),c_HOL_Ominus__class_Ominus(C,B,tc_nat),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat)| -c_lessequals(B,C,tc_nat)| -c_lessequals(B,A,tc_nat).
% 0.18/0.44    Following clause subsumed by 399 during input processing: 0 [] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSKIP.
% 0.18/0.44    Following clause subsumed by 312 during input processing: 0 [] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSKIP.
% 0.18/0.44    Following clause subsumed by 102 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Divides_Odiv__class_Omod(B,C,A)),D),C,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),C,A).
% 0.18/0.44    Following clause subsumed by 104 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_Divides_Odiv__class_Omod(C,D,A)),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A).
% 0.18/0.45    Following clause subsumed by 453 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|C=B.
% 0.18/0.45    Following clause subsumed by 454 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.18/0.45    Following clause subsumed by 454 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lessequals(A,B,tc_nat).
% 0.18/0.45    Following clause subsumed by 455 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.18/0.45    Following clause subsumed by 455 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.18/0.45    Following clause subsumed by 455 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A)|B=C.
% 0.18/0.45    Following clause subsumed by 456 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.18/0.45    Following clause subsumed by 321 during input processing: 0 [flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 0.18/0.45    Following clause subsumed by 464 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.18/0.45    Following clause subsumed by 468 during input processing: 0 [] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.45    Following clause subsumed by 470 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,hAPP(c_Suc,B),tc_nat).
% 0.18/0.45    Following clause subsumed by 472 during input processing: 0 [] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.18/0.45    Following clause subsumed by 474 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Nat_Onat_Onat__case(B,C,hAPP(c_Suc,D),t_a)))|hBOOL(hAPP(A,hAPP(C,D))).
% 0.18/0.45    Following clause subsumed by 479 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(hAPP(c_Suc,A),hAPP(c_Suc,B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.18/0.45    Following clause subsumed by 483 during input processing: 0 [flip.1] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 0.18/0.45    Following clause subsumed by 496 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Hoare__Mirabelle_Otriple_Otriple__case(B,c_Hoare__Mirabelle_Otriple_Otriple(C,D,E,t_b),t_b,t_a)))|hBOOL(hAPP(A,hAPP(hAPP(hAPP(B,C),D),E))).
% 0.18/0.45    Following clause subsumed by 511 during input processing: 0 [] {-} hAPP(c_Suc,A)!=A.
% 0.18/0.45    Following clause subsumed by 515 during input processing: 0 [] {-} hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 0.18/0.45    Following clause subsumed by 170 during input processing: 0 [copy,10,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 0.18/0.45    Following clause subsumed by 402 during input processing: 0 [copy,19,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 0.18/0.45    Following clause subsumed by 125 during input processing: 0 [copy,22,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 0.18/0.45    Following clause subsumed by 316 during input processing: 0 [copy,23,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.18/0.45    Following clause subsumed by 337 during input processing: 0 [copy,24,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 0.18/0.45    Following clause subsumed by 274 during input processing: 0 [copy,33,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OAss(C,D).
% 0.18/0.45    Following clause subsumed by 117 during input processing: 0 [copy,40,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 0.18/0.45    Following clause subsumed by 143 during input processing: 0 [copy,42,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 0.18/0.45    Following clause subsumed by 352 during input processing: 0 [copy,66,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 0.18/0.45  99 back subsumes 98.
% 0.18/0.45    Following clause subsumed by 154 during input processing: 0 [copy,112,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 0.18/0.45    Following clause subsumed by 350 during input processing: 0 [copy,114,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 0.18/0.45    Following clause subsumed by 40 during input processing: 0 [copy,117,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCond(D,E,F).
% 0.18/0.45    Following clause subsumed by 22 during input processing: 0 [copy,125,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 0.18/0.45    Following clause subsumed by 186 during input processing: 0 [copy,142,flip.1] {-} c_Option_Ooption_ONone(A)!=c_Option_Ooption_OSome(B,A).
% 0.18/0.45    Following clause subsumed by 42 during input processing: 0 [copy,143,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 0.18/0.45    Following clause subsumed by 315 during input processing: 0 [copy,150,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OAss(C,D).
% 0.18/0.45    Following clause subsumed by 112 during input processing: 0 [copy,154,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 0.18/0.45    Following clause subsumed by 10 during input processing: 0 [copy,170,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 0.18/0.45    Following clause subsumed by 353 during input processing: 0 [copy,178,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 0.18/0.45    Following clause subsumed by 142 during input processing: 0 [copy,186,flip.1] {-} c_Option_Ooption_OSome(A,B)!=c_Option_Ooption_ONone(B).
% 0.18/0.45    Following clause subsumed by 320 during input processing: 0 [copy,207,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OAss(D,E).
% 0.18/0.45    Following clause subsumed by 457 during input processing: 0 [copy,223,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OCall(D,E,F).
% 0.18/0.45    Following clause subsumed by 273 during input processing: 0 [copy,224,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 0.18/0.45    Following clause subsumed by 224 during input processing: 0 [copy,273,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 0.18/0.45    Following clause subsumed by 33 during input processing: 0 [copy,274,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OSemi(C,D).
% 0.18/0.45    Following clause subsumed by 150 during input processing: 0 [copy,315,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OWhile(C,D).
% 0.18/0.45    Following clause subsumed by 23 during input processing: 0 [copy,316,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.18/0.45    Following clause subsumed by 207 during input processing: 0 [copy,320,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCall(C,D,E).
% 0.18/0.45    Following clause subsumed by 24 during input processing: 0 [copy,337,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OLocal(C,D,E).
% 0.18/0.45    Following clause subsumed by 114 during input processing: 0 [copy,350,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 0.18/0.45    Following clause subsumed by 66 during input processing: 0 [copy,352,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 0.18/0.45    Following clause subsumed by 178 during input processing: 0 [copy,353,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 0.18/0.45    Following clause subsumed by 19 during input processing: 0 [copy,402,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 0.18/0.45    Following clause subsumed by 223 during input processing: 0 [copy,457,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OLocal(D,E,F).
% 0.18/0.45    Following clause subsumed by 472 during input processing: 0 [copy,468,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.18/0.45    Following clause subsumed by 468 during input processing: 0 [copy,472,flip.1] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.45    Following clause subsumed by 490 during input processing: 0 [copy,484,flip.1] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C).
% 0.18/0.45    Following clause subsumed by 486 during input processing: 0 [copy,485,flip.1] {-} c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D).
% 0.18/0.45    Following clause subsumed by 485 during input processing: 0 [copy,486,flip.1] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D).
% 0.18/0.45    Following clause subsumed by 488 during input processing: 0 [copy,487,flip.1] {-} c_Com_Ocom_OAss(A,B)!=c_Com_Ocom_OBODY(C).
% 0.18/0.45    Following clause subsumed by 487 during input processing: 0 [copy,488,flip.1] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OAss(B,C).
% 0.18/0.45    Following clause subsumed by 494 during input processing: 0 [copy,489,flip.1] {-} c_Com_Ocom_OLocal(A,B,C)!=c_Com_Ocom_OBODY(D).
% 0.18/0.46    Following clause subsumed by 484 during input processing: 0 [copy,490,flip.1] {-} c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C).
% 0.18/0.46    Following clause subsumed by 495 during input processing: 0 [copy,491,flip.1] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCall(B,C,D).
% 0.18/0.46    Following clause subsumed by 493 during input processing: 0 [copy,492,flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 0.18/0.46    Following clause subsumed by 492 during input processing: 0 [copy,493,flip.1] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 0.18/0.46    Following clause subsumed by 489 during input processing: 0 [copy,494,flip.1] {-} c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OLocal(B,C,D).
% 0.18/0.46    Following clause subsumed by 491 during input processing: 0 [copy,495,flip.1] {-} c_Com_Ocom_OCall(A,B,C)!=c_Com_Ocom_OBODY(D).
% 0.18/0.46  
% 0.18/0.46  ------------> process sos:
% 0.18/0.46    Following clause subsumed by 587 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),tc_nat).
% 0.18/0.46    Following clause subsumed by 637 during input processing: 0 [demod,639] {-} hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 0.18/0.46    Following clause subsumed by 613 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).
% 0.18/0.46    Following clause subsumed by 658 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,A),tc_nat).
% 0.18/0.46    Following clause subsumed by 637 during input processing: 0 [demod,594] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.18/0.46    Following clause subsumed by 665 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.18/0.46    Following clause subsumed by 670 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|c_HOL_Oord__class_Oless(B,C,tc_nat)|C=B|c_HOL_Oord__class_Oless(C,B,tc_nat).
% 0.18/0.46    Following clause subsumed by 670 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.18/0.46    Following clause subsumed by 637 during input processing: 0 [demod,696] {-} A=A.
% 0.18/0.46    Following clause subsumed by 709 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 0.18/0.46    Following clause subsumed by 709 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 0.18/0.46    Following clause subsumed by 661 during input processing: 0 [] {-} c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.18/0.46    Following clause subsumed by 721 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.18/0.46    Following clause subsumed by 637 during input processing: 0 [demod,698] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.18/0.46    Following clause subsumed by 709 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),B)).
% 0.18/0.46    Following clause subsumed by 729 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,hAPP(c_Suc,A),tc_nat).
% 0.18/0.46    Following clause subsumed by 637 during input processing: 0 [demod,742,744] {-} hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)).
% 0.18/0.46    Following clause subsumed by 721 during input processing: 0 [] {-} c_lessequals(hAPP(c_Suc,A),hAPP(c_Suc,A),tc_nat).
% 0.18/0.46    Following clause subsumed by 729 during input processing: 0 [unit_del,263] {-} c_HOL_Oord__class_Oless(A,hAPP(c_Suc,A),tc_nat).
% 0.18/0.46    Following clause subsumed by 637 during input processing: 0 [demod,639] {-} hAPP(A,hAPP(B,v_x))=hAPP(A,hAPP(B,v_x)).
% 0.18/0.46    Following clause subsumed by 637 during input processing: 0 [demod,700] {-} v_x=v_x.
% 0.18/0.46    Following clause subsumed by 637 during input processing: 0 [demod,677] {-} hAPP(B,hAPP(A,v_x))=hAPP(B,hAPP(A,v_x)).
% 0.18/0.46    Following clause subsumed by 637 during input processing: 0 [demod,617] {-} v_P=v_P.
% 0.18/0.46    Following clause subsumed by 637 during input processing: 0 [demod,619] {-} v_P=v_P.
% 0.18/0.46    Following clause subsumed by 637 during input processing: 0 [] {-} A=A.
% 0.18/0.46    Following clause subsumed by 608 during input processing: 0 [copy,608,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)).
% 0.18/0.46    Following clause subsumed by 613 during input processing: 0 [copy,613,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.18/0.46    Following clause subsumed by 624 during input processing: 0 [copy,624,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.18/0.46    Following clause subsumed by 637 during input processing: 0 [copy,637,flip.1] {-} A=A.
% 0.18/0.46  637 back subsumes 574.
% 0.18/0.46  637 back subsumes 573.
% 0.18/0.46  637 back subsumes 562.
% 0.18/0.46  637 back subsumes 561.
% 0.18/0.46  637 back subsumes 560.
% 0.18/0.46  637 back subsumes 559.
% 0.18/0.46  637 back subsumes 558.
% 0.18/0.46  637 back subsumes 557.
% 0.18/0.46  637 back subsumes 551.
% 0.18/0.46  658 back subsumes 640.
% 0.18/0.46    Following clause subsumed by 660 during input processing: 0 [copy,660,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_nat),B,tc_nat).
% 0.18/0.46  721 back subsumes 550.
% 0.18/0.46    Following clause subsumed by 612 during input processing: 0 [copy,800,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K).
% 0.18/0.46    Following clause subsumed by 614 during input processing: 0 [copy,801,flip.1] {-} c_COMBB(A,B,C,D,E,F)=hAPP(A,hAPP(B,C)).
% 0.18/0.46  801 back subsumes 764.
% 0.18/0.46    Following clause subsumed by 615 during input processing: 0 [copy,802,flip.1] {-} c_COMBC(A,B,C,D,E,F)=hAPP(hAPP(A,C),B).
% 0.18/0.46  802 back subsumes 770.
% 0.18/0.46    Following clause subsumed by 620 during input processing: 0 [copy,803,flip.1] {-} c_COMBS(A,B,C,D,E,F)=hAPP(hAPP(A,C),hAPP(B,C)).
% 0.18/0.46  803 back subsumes 767.
% 0.18/0.46    Following clause subsumed by 621 during input processing: 0 [copy,804,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J).
% 0.18/0.46    Following clause subsumed by 627 during input processing: 0 [copy,809,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.46    Following clause subsumed by 647 during input processing: 0 [copy,810,flip.1] {-} c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.46    Following clause subsumed by 648 during input processing: 0 [copy,811,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_nat),C,tc_nat)=c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat).
% 0.18/0.46    Following clause subsumed by 674 during input processing: 0 [copy,813,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OLocal(I,J,K),L)=hAPP(hAPP(hAPP(C,I),J),K).
% 0.18/0.46    Following clause subsumed by 675 during input processing: 0 [copy,814,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OWhile(I,J),K)=hAPP(hAPP(F,I),J).
% 0.18/0.46    Following clause subsumed by 684 during input processing: 0 [copy,815,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OSemi(I,J),K)=hAPP(hAPP(D,I),J).
% 0.18/0.46    Following clause subsumed by 685 during input processing: 0 [copy,816,flip.1] {-} c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OCall(I,J,K),L)=hAPP(hAPP(hAPP(H,I),J),K).
% 0.18/0.46    Following clause subsumed by 690 during input processing: 0 [copy,817,flip.1] {-} c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OAss(I,J),K)=hAPP(hAPP(B,I),J).
% 0.18/0.46    Following clause subsumed by 724 during input processing: 0 [copy,818,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OCond(I,J,K),L)=hAPP(hAPP(hAPP(E,I),J),K).
% 0.18/0.46    Following clause subsumed by 732 during input processing: 0 [copy,819,flip.1] {-} c_Nat_Onat_Onat__case(A,B,hAPP(c_Suc,C),D)=hAPP(B,C).
% 0.18/0.46    Following clause subsumed by 757 during input processing: 0 [copy,820,flip.1] {-} c_Com_Ocom_Ocom__rec(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I).
% 0.18/0.46    Following clause subsumed by 758 during input processing: 0 [copy,821,flip.1] {-} c_Com_Ocom_Ocom__case(A,B,C,D,E,F,G,H,c_Com_Ocom_OBODY(I),J)=hAPP(G,I).
% 0.18/0.46    Following clause subsumed by 759 during input processing: 0 [copy,822,flip.1] {-} c_Hoare__Mirabelle_Otriple_Otriple__rec(A,c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,E),E,F)=hAPP(hAPP(hAPP(A,B),C),D).
% 0.18/0.46    Following clause subsumed by 760 during input processing: 0 [copy,823,flip.1] {-} c_Hoare__Mirabelle_Otriple_Otriple__case(A,c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,E),E,F)=hAPP(hAPP(hAPP(A,B),C),D).
% 0.18/0.46  
% 0.18/0.46  ======= end of input processing =======
% 0.43/0.62  
% 0.43/0.62  
% 0.43/0.62  Failed to model usable list: disabling FINDER
% 0.43/0.62  
% 0.43/0.62  
% 0.43/0.62  
% 0.43/0.62  -------------- Softie stats --------------
% 0.43/0.62  
% 0.43/0.62  UPDATE_STOP: 300
% 0.43/0.62  SFINDER_TIME_LIMIT: 2
% 0.43/0.62  SHORT_CLAUSE_CUTOFF: 4
% 0.43/0.62  number of clauses in intial UL: 530
% 0.43/0.62  number of clauses initially in problem: 738
% 0.43/0.62  percentage of clauses intially in UL: 71
% 0.43/0.62  percentage of distinct symbols occuring in initial UL: 48
% 0.43/0.62  percent of all initial clauses that are short: 100
% 0.43/0.62  absolute distinct symbol count: 181
% 0.43/0.62     distinct predicate count: 46
% 0.43/0.62     distinct function count: 75
% 0.43/0.62     distinct constant count: 60
% 0.43/0.62  
% 0.43/0.62  ---------- no more Softie stats ----------
% 0.43/0.62  
% 0.43/0.62  
% 0.43/0.62  
% 0.43/0.62  =========== start of search ===========
% 0.60/0.85  c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(A,B,tc_nat),c_Orderings_Oord__class_Omax(C,B,tc_nat),tc_nat)=c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(A,C,tc_nat),B,tc_nat).
% 0.60/0.85  
% 0.60/0.85  ------------- memory usage ------------
% 0.60/0.85  196 mallocs of 32700 bytes each, 6259.0 K.
% 0.60/0.85    type (bytes each)        gets      frees     in use      avail      bytes
% 0.60/0.85  sym_ent ( 304)              304          0        304          0     90.2 K
% 0.60/0.85  term (  32)              175590     152298      23292         24    728.6 K
% 0.60/0.85  rel (  40)               145560     108324      37236         18   1455.2 K
% 0.60/0.85  term_ptr (  16)          122703       2823     119880          0   1873.1 K
% 0.60/0.85  formula_ptr_2 (  56)          0          0          0          0      0.0 K
% 0.60/0.85  fpa_head (  24)            8091        171       7920          0    185.6 K
% 0.60/0.85  fpa_tree (  56)           14791      14791          0         43      2.4 K
% 0.60/0.85  context (1288)            28475      28475          0          6      7.5 K
% 0.60/0.85  trail (  24)             808086     808086          0         12      0.3 K
% 0.60/0.85  imd_tree (  32)             554         32        522          0     16.3 K
% 0.60/0.85  imd_pos (4024)            15038      15038          0          8     31.4 K
% 0.60/0.85  is_tree (  24)            14186        384      13802         48    324.6 K
% 0.60/0.85  is_pos (2424)            408695     408695          0         18     42.6 K
% 0.60/0.85  fsub_pos (  16)           20754      20754          0          1      0.0 K
% 0.60/0.85  literal (  32)            16062       4004      12058          0    376.8 K
% 0.60/0.85  clause (  88)              6128       1441       4687          0    402.8 K
% 0.60/0.85  list ( 272)                  10          3          7          1      2.1 K
% 0.60/0.85  clash_nd (  80)             389        389          0          3      0.2 K
% 0.60/0.85  clause_ptr (  16)          4325        225       4100          3     64.1 K
% 0.60/0.85  int_ptr (  16)            37896       5377      32519          0    508.1 K
% 0.60/0.85  ci_ptr (  24)                 0          0          0          0      0.0 K
% 0.60/0.85  link_node ( 120)              0          0          0          0      0.0 K
% 0.60/0.85  ans_lit_node(  24)            0          0          0          0      0.0 K
% 0.60/0.85  formula_box( 168)             0          0          0          0      0.0 K
% 0.60/0.85  formula(  40)                 0          0          0          0      0.0 K
% 0.60/0.85  formula_ptr(  16)             0          0          0          0      0.0 K
% 0.60/0.85  cl_attribute(  24)            0          0          0          0      0.0 K
% 0.60/0.85  
% 0.60/0.85  ********** is_delete, can't find end.
% 0.60/0.85  int_cl time        0.00
% 0.60/0.85    conflict time        0.00
% 0.60/0.85    new demod time       0.00
% 0.60/0.85  post_process time      0.00
% 0.60/0.85    back demod time      0.00
% 0.60/0.85    back subsume         0.00
% 0.60/0.85    factor time          0.00
% 0.60/0.85  FINDER time            0.00
% 0.60/0.85    unindex time         0.00
% 0.60/0.85  
% 0.60/0.85  Forward subsumption counts, subsumer:number_subsumed.
% 0.60/0.85   1:1     2:0     3:0     4:0     5:0     6:0     7:2     8:0     9:0    10:1   
% 0.60/0.85  11:0    12:0    13:2    14:0    15:0    16:0    17:0    18:0    19:1    20:0   
% 0.60/0.85  21:0    22:1    23:2    24:1    25:0    26:0    27:0    28:0    29:0    30:0   
% 0.60/0.85  31:0    32:0    33:1    34:0    35:0    36:0    37:0    38:0    39:0    40:1   
% 0.60/0.85  41:0    42:1    43:0    44:0    45:1    46:0    47:0    48:0    49:0    50:0   
% 0.60/0.85  51:0    52:0    53:2    54:0    55:0    56:0    57:0    58:0    59:0    60:0   
% 0.60/0.85  61:0    62:0    63:0    64:0    65:0    66:1    67:0    68:0    69:0    70:0   
% 0.60/0.85  71:2    72:0    73:0    74:0    75:0    76:0    77:0    78:0    79:1    80:0   
% 0.60/0.85  81:1    82:1    83:0    84:0    85:0    86:0    87:0    88:0    89:0    90:0   
% 0.60/0.85  91:0    92:0    93:0    94:0    95:0    96:0    97:3    98:0    99:1    
% 0.60/0.85  All others: 815.
% 0.60/0.85  
% 0.60/0.85  ********** ABNORMAL END **********
% 0.60/0.85  
% 0.60/0.85  ********** is_delete, can't find end.
%------------------------------------------------------------------------------