TSTP Solution File: SCT124+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SCT124+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : Mon Jul 18 22:12:13 EDT 2022

% Result   : Unknown 0.18s 0.54s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SCT124+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.13  % Command  : sos-script %s
% 0.12/0.33  % Computer : n004.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 : Sat Jul  2 00:10:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.47  ----- Otter 3.2, August 2001 -----
% 0.18/0.47  The process was started by sandbox on n004.cluster.edu,
% 0.18/0.47  Sat Jul  2 00:10:38 2022
% 0.18/0.47  The command was "./sos".  The process ID is 23061.
% 0.18/0.47  
% 0.18/0.47  set(prolog_style_variables).
% 0.18/0.47  set(auto).
% 0.18/0.47     dependent: set(auto1).
% 0.18/0.47     dependent: set(process_input).
% 0.18/0.47     dependent: clear(print_kept).
% 0.18/0.47     dependent: clear(print_new_demod).
% 0.18/0.47     dependent: clear(print_back_demod).
% 0.18/0.47     dependent: clear(print_back_sub).
% 0.18/0.47     dependent: set(control_memory).
% 0.18/0.47     dependent: assign(max_mem, 12000).
% 0.18/0.47     dependent: assign(pick_given_ratio, 4).
% 0.18/0.47     dependent: assign(stats_level, 1).
% 0.18/0.47     dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.47     dependent: assign(sos_limit, 5000).
% 0.18/0.47     dependent: assign(max_weight, 60).
% 0.18/0.47  clear(print_given).
% 0.18/0.47  
% 0.18/0.47  formula_list(usable).
% 0.18/0.47  
% 0.18/0.47  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.18/0.47  
% 0.18/0.47  This ia a non-Horn set with equality.  The strategy will be
% 0.18/0.47  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.47  unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.47  clauses in usable.
% 0.18/0.47  
% 0.18/0.47     dependent: set(knuth_bendix).
% 0.18/0.47     dependent: set(para_from).
% 0.18/0.47     dependent: set(para_into).
% 0.18/0.47     dependent: clear(para_from_right).
% 0.18/0.47     dependent: clear(para_into_right).
% 0.18/0.47     dependent: set(para_from_vars).
% 0.18/0.47     dependent: set(eq_units_both_ways).
% 0.18/0.47     dependent: set(dynamic_demod_all).
% 0.18/0.47     dependent: set(dynamic_demod).
% 0.18/0.47     dependent: set(order_eq).
% 0.18/0.47     dependent: set(back_demod).
% 0.18/0.47     dependent: set(lrpo).
% 0.18/0.47     dependent: set(hyper_res).
% 0.18/0.47     dependent: set(unit_deletion).
% 0.18/0.47     dependent: set(factor).
% 0.18/0.47  
% 0.18/0.47  ------------> process usable:
% 0.18/0.47    Following clause subsumed by 5 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_OPi(A,B,D,E)))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|hBOOL(hAPP(hAPP(c_member(B),hAPP(C,F)),hAPP(E,F))).
% 0.18/0.47    Following clause subsumed by 23 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),A),D))| -hBOOL(hAPP(hAPP(c_member(C),B),D)).
% 0.18/0.47    Following clause subsumed by 8 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),D),A))|hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 0.18/0.47    Following clause subsumed by 7 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),D),A))| -hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 0.18/0.47    Following clause subsumed by 105 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),D))|hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(A,E),F),D),C),B)=hAPP(F,B).
% 0.18/0.47    Following clause subsumed by 105 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),D))|hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(A,E),F),D),C),B)=hAPP(F,B).
% 0.18/0.47    Following clause subsumed by 115 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Wellfounded_Oacc(A,C)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),D),B)),C))|hBOOL(hAPP(hAPP(c_member(A),D),c_Wellfounded_Oacc(A,C))).
% 0.18/0.47    Following clause subsumed by 117 during input processing: 0 [] {-} hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)!=hAPP(hAPP(c_Product__Type_OPair(A,B),E),F)|C=E.
% 0.18/0.47    Following clause subsumed by 118 during input processing: 0 [] {-} hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)!=hAPP(hAPP(c_Product__Type_OPair(A,B),E),F)|D=F.
% 0.18/0.47    Following clause subsumed by 134 during input processing: 0 [] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(B,D),C))|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 0.18/0.47    Following clause subsumed by 134 during input processing: 0 [] {-} -hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),C))| -hBOOL(hAPP(hAPP(B,D),C))|hBOOL(hAPP(c_Wellfounded_Oaccp(A,B),D)).
% 0.18/0.47    Following clause subsumed by 137 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(A,B,tc_HOL_Obool,C),D),E))|hBOOL(hAPP(C,hAPP(hAPP(c_Product__Type_OPair(A,B),D),E))).
% 0.18/0.47    Following clause subsumed by 139 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_FuncSet_Orestrict(A,D,E,C),B)=hAPP(E,B).
% 0.18/0.47    Following clause subsumed by 145 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Transitive__Closure_Ortrancl(A,D)))| -hBOOL(hAPP(hAPP(c_member(A),C),c_Wellfounded_Oacc(A,D)))|hBOOL(hAPP(hAPP(c_member(A),B),c_Wellfounded_Oacc(A,D))).
% 0.18/0.47    Following clause subsumed by 151 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),c_Product__Type_OSigma(A,B,E,F)))|hBOOL(hAPP(hAPP(c_member(B),D),hAPP(F,C))).
% 0.18/0.47    Following clause subsumed by 150 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),c_Product__Type_OSigma(A,B,E,F)))|hBOOL(hAPP(hAPP(c_member(A),C),E)).
% 0.18/0.47    Following clause subsumed by 150 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),c_Product__Type_OSigma(A,B,E,F)))|hBOOL(hAPP(hAPP(c_member(A),C),E)).
% 0.18/0.47    Following clause subsumed by 151 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),c_Product__Type_OSigma(A,B,E,F)))|hBOOL(hAPP(hAPP(c_member(B),D),hAPP(F,C))).
% 0.18/0.47    Following clause subsumed by 147 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),C),D)),c_Product__Type_OSigma(A,B,E,F)))| -hBOOL(hAPP(hAPP(c_member(A),C),E))| -hBOOL(hAPP(hAPP(c_member(B),D),hAPP(F,C))).
% 0.18/0.47    Following clause subsumed by 188 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|B=C.
% 0.18/0.47    Following clause subsumed by 188 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|C=B.
% 0.18/0.47    Following clause subsumed by 186 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.18/0.47    Following clause subsumed by 188 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.18/0.47    Following clause subsumed by 185 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.18/0.47    Following clause subsumed by 186 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.18/0.47    Following clause subsumed by 179 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C),D))|hBOOL(hAPP(C,D)).
% 0.18/0.47    Following clause subsumed by 178 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C),D))|hBOOL(hAPP(B,D)).
% 0.18/0.47    Following clause subsumed by 201 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B,A).
% 0.18/0.47    Following clause subsumed by 200 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B).
% 0.18/0.47    Following clause subsumed by 205 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,D)|hBOOL(hAPP(D,B)).
% 0.18/0.47    Following clause subsumed by 200 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B).
% 0.18/0.47    Following clause subsumed by 201 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B,A).
% 0.18/0.47    Following clause subsumed by 177 during input processing: 0 [] {-} A=B| -c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B)| -c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B,A).
% 0.18/0.47    Following clause subsumed by 183 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 0.18/0.48    Following clause subsumed by 184 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.18/0.48    Following clause subsumed by 182 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))| -hBOOL(hAPP(hAPP(c_member(A),B),C))| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.18/0.48    Following clause subsumed by 183 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 0.18/0.48    Following clause subsumed by 184 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.18/0.48    Following clause subsumed by 181 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(A),D),C)).
% 0.18/0.48    Following clause subsumed by 181 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C,D)|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.18/0.48    Following clause subsumed by 181 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(A),D),C)).
% 0.18/0.48    Following clause subsumed by 220 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Relation_ODomain(A,C,D)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,C)),hAPP(hAPP(c_Product__Type_OPair(A,C),B),E)),D)).
% 0.18/0.48    Following clause subsumed by 222 during input processing: 0 [] {-} -c_Relation_Osingle__valued(A,B,C)| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),D),E)),C))| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,B)),hAPP(hAPP(c_Product__Type_OPair(A,B),D),F)),C))|E=F.
% 0.18/0.48    Following clause subsumed by 232 during input processing: 0 [] {-} -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(B,A)),C),D),E)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),hAPP(C,E)),hAPP(D,E)).
% 0.18/0.48    Following clause subsumed by 238 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_fun(B,tc_HOL_Obool)),C,D)| -hBOOL(hAPP(hAPP(C,E),F))|hBOOL(hAPP(hAPP(D,E),F)).
% 0.18/0.48    Following clause subsumed by 241 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),B)=B.
% 0.18/0.48    Following clause subsumed by 242 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),C)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),B).
% 0.18/0.48    Following clause subsumed by 244 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),C))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),C).
% 0.18/0.48    Following clause subsumed by 246 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),D))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),D)).
% 0.18/0.48    Following clause subsumed by 248 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),D)).
% 0.18/0.48    Following clause subsumed by 254 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),B),C)=B.
% 0.18/0.48    Following clause subsumed by 258 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,D)|c_Orderings_Oord__class_Oless__eq(A,B,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),D)).
% 0.18/0.48    Following clause subsumed by 258 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,D)|c_Orderings_Oord__class_Oless__eq(A,B,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),D)).
% 0.18/0.48    Following clause subsumed by 256 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),D))|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.18/0.48    Following clause subsumed by 257 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(A),C),D))|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.18/0.48    Following clause subsumed by 274 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D),E),F))|hBOOL(hAPP(hAPP(D,E),F)).
% 0.18/0.48    Following clause subsumed by 273 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_fun(B,tc_HOL_Obool))),C),D),E),F))|hBOOL(hAPP(hAPP(C,E),F)).
% 0.18/0.48    Following clause subsumed by 266 during input processing: 0 [] {-} -c_Relation_Orefl__on(A,B,C)| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),D),D)),C)).
% 0.18/0.48    Following clause subsumed by 284 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),A),D))|hBOOL(hAPP(hAPP(c_member(tc_prod(C,C)),hAPP(hAPP(c_Product__Type_OPair(C,C),A),B)),c_Relation_OId__on(C,D))).
% 0.18/0.48    Following clause subsumed by 281 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Relation_ORange(C,A,D)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(C,A)),hAPP(hAPP(c_Product__Type_OPair(C,A),E),B)),D)).
% 0.18/0.48    Following clause subsumed by 293 during input processing: 0 [] {-} c_Predicate_ORangeP(A,B,C,D)| -hBOOL(hAPP(hAPP(C,E),D)).
% 0.18/0.48    Following clause subsumed by 316 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|B=C.
% 0.18/0.48    Following clause subsumed by 317 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.18/0.48    Following clause subsumed by 316 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.48    Following clause subsumed by 316 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|C=B.
% 0.18/0.48    Following clause subsumed by 317 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B)|C!=B.
% 0.18/0.48    Following clause subsumed by 316 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.48    Following clause subsumed by 321 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.48    Following clause subsumed by 320 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.18/0.48    Following clause subsumed by 321 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.48    Following clause subsumed by 321 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.48    Following clause subsumed by 316 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.48    Following clause subsumed by 335 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.18/0.48    Following clause subsumed by 317 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.18/0.48    Following clause subsumed by 334 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__eq(A,C,B)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.48    Following clause subsumed by 335 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C).
% 0.18/0.48    Following clause subsumed by 336 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|B=C.
% 0.18/0.48    Following clause subsumed by 340 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.18/0.48    Following clause subsumed by 335 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.18/0.48    Following clause subsumed by 196 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|B!=C.
% 0.18/0.48    Following clause subsumed by 337 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.18/0.48    Following clause subsumed by 341 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.18/0.48    Following clause subsumed by 320 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.18/0.48    Following clause subsumed by 335 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|B=C.
% 0.18/0.48    Following clause subsumed by 340 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.48    Following clause subsumed by 340 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.48    Following clause subsumed by 338 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.48    Following clause subsumed by 340 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.18/0.48    Following clause subsumed by 338 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.18/0.48    Following clause subsumed by 344 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.18/0.48    Following clause subsumed by 354 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool),B,C).
% 0.18/0.48    Following clause subsumed by 200 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)|B!=C.
% 0.18/0.48    Following clause subsumed by 354 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool),B,C)|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C).
% 0.18/0.48    Following clause subsumed by 355 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool),B,C)| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)|B=C.
% 0.18/0.48    Following clause subsumed by 360 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 0.18/0.48    Following clause subsumed by 362 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|B!=A.
% 0.18/0.49    Following clause subsumed by 361 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.18/0.49    Following clause subsumed by 349 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.18/0.49    Following clause subsumed by 344 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.18/0.49    Following clause subsumed by 361 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.18/0.49    Following clause subsumed by 350 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A=B.
% 0.18/0.49    Following clause subsumed by 350 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 0.18/0.49    Following clause subsumed by 344 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.18/0.49    Following clause subsumed by 349 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A!=B.
% 0.18/0.49    Following clause subsumed by 344 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.18/0.49    Following clause subsumed by 378 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oinsert(A,C,D)))|B=C|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.18/0.49    Following clause subsumed by 380 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oinsert(A,C,D)))|B!=C.
% 0.18/0.49    Following clause subsumed by 379 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oinsert(A,C,D)))| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.18/0.49    Following clause subsumed by 379 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oinsert(A,D,C))).
% 0.18/0.49    Following clause subsumed by 396 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),c_Set_Oinsert(A,B,D)),C)=c_Set_Oinsert(A,B,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),D),C)).
% 0.18/0.49    Following clause subsumed by 397 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),c_Set_Oinsert(A,B,D))=c_Set_Oinsert(A,B,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D)).
% 0.18/0.49    Following clause subsumed by 408 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Transitive__Closure_Ortrancl(A,D)))|B=C|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Transitive__Closure_Otrancl(A,D))).
% 0.18/0.49    Following clause subsumed by 382 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Transitive__Closure_Ortrancl(A,D)))|B=C| -hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),B),C)),c_Transitive__Closure_Otrancl(A,D))).
% 0.18/0.49    Following clause subsumed by 423 during input processing: 0 [] {-} hAPP(A,B)!=C|c_Fun_Ofun__upd(D,E,A,B,C)=A.
% 0.18/0.49    Following clause subsumed by 424 during input processing: 0 [] {-} A!=B|hAPP(c_Fun_Ofun__upd(C,D,E,B,F),A)=F.
% 0.18/0.49    Following clause subsumed by 425 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(D,E,tc_HOL_Obool),A),hAPP(hAPP(c_Product__Type_OPair(D,E),B),C))).
% 0.18/0.49    Following clause subsumed by 266 during input processing: 0 [] {-} -c_Relation_Orefl__on(A,B,C)| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(tc_prod(A,A)),hAPP(hAPP(c_Product__Type_OPair(A,A),D),D)),C)).
% 0.18/0.49    Following clause subsumed by 448 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),D)))|hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.18/0.52    Following clause subsumed by 450 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),D)))| -hBOOL(hAPP(hAPP(c_member(A),B),C)).
% 0.18/0.52    Following clause subsumed by 449 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),D)))| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.18/0.52    Following clause subsumed by 450 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),D))).
% 0.18/0.52    Following clause subsumed by 449 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(hAPP(c_member(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),D),C))).
% 0.18/0.52    Following clause subsumed by 447 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oimage(C,A,D,E)))| -hBOOL(hAPP(hAPP(c_member(C),F),E))|B!=hAPP(D,F).
% 0.18/0.52    Following clause subsumed by 447 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|D!=hAPP(E,B)|hBOOL(hAPP(hAPP(c_member(F),D),c_Set_Oimage(A,F,E,C))).
% 0.18/0.52    Following clause subsumed by 466 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),B)=B.
% 0.18/0.52    Following clause subsumed by 467 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),C),B).
% 0.18/0.52    Following clause subsumed by 469 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),C).
% 0.18/0.52    Following clause subsumed by 471 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),C),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),D)).
% 0.18/0.52    Following clause subsumed by 473 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),B),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),C),D)).
% 0.18/0.52    Following clause subsumed by 465 during input processing: 0 [] {-} -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,A)),C),D),E)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(A),hAPP(C,E)),hAPP(D,E)).
% 0.18/0.52  21 back subsumes 20.
% 0.18/0.52  196 back subsumes 194.
% 0.18/0.52  383 back subsumes 381.
% 0.18/0.52  403 back subsumes 392.
% 0.18/0.52  410 back subsumes 165.
% 0.18/0.52  517 back subsumes 513.
% 0.18/0.52  519 back subsumes 511.
% 0.18/0.52  522 back subsumes 521.
% 0.18/0.52  522 back subsumes 516.
% 0.18/0.52  
% 0.18/0.52  ------------> process sos:
% 0.18/0.52    Following clause subsumed by 591 during input processing: 0 [] {-} hAPP(hAPP(c_Product__Type_Ocurry(A,B,C,D),E),F)=hAPP(D,hAPP(hAPP(c_Product__Type_OPair(A,B),E),F)).
% 0.18/0.52    Following clause subsumed by 598 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(c_FuncSet_Orestrict(A,D,E,C),B)=c_HOL_Oundefined(D).
% 0.18/0.52    Following clause subsumed by 606 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))).
% 0.18/0.52    Following clause subsumed by 663 during input processing: 0 [] {-} A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 0.18/0.52    Following clause subsumed by 663 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A)|hBOOL(hAPP(hAPP(C,B),A)).
% 0.18/0.53    Following clause subsumed by 675 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),c_Set_Oinsert(A,B,D)),C)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),D),C).
% 0.18/0.53    Following clause subsumed by 676 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))|hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),c_Set_Oinsert(A,B,D))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D).
% 0.18/0.53    Following clause subsumed by 711 during input processing: 0 [] {-} hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(A,B,C),D),hAPP(hAPP(c_Product__Type_OPair(A,B),E),F))=hAPP(hAPP(D,E),F).
% 0.18/0.53    Following clause subsumed by 726 during input processing: 0 [] {-} A=B|hAPP(c_Fun_Ofun__upd(C,D,E,B,F),A)=hAPP(E,A).
% 0.18/0.53    Following clause subsumed by 726 during input processing: 0 [] {-} A=B|hAPP(c_Fun_Ofun__upd(C,D,E,B,F),A)=hAPP(E,A).
% 0.18/0.53  611 back subsumes 535.
% 0.18/0.53    Following clause subsumed by 619 during input processing: 0 [copy,619,flip.1] {-} hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),D))=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),D)).
% 0.18/0.53    Following clause subsumed by 622 during input processing: 0 [copy,622,flip.1] {-} hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),B),C)=hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool)),C),B).
% 0.18/0.53    Following clause subsumed by 685 during input processing: 0 [copy,685,flip.1] {-} c_Set_Oinsert(A,B,c_Set_Oinsert(A,C,D))=c_Set_Oinsert(A,C,c_Set_Oinsert(A,B,D)).
% 0.18/0.53    Following clause subsumed by 794 during input processing: 0 [copy,711,flip.1,demod,721] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(c_Product__Type_Ointernal__split(D,E,F),A),hAPP(hAPP(c_Product__Type_OPair(D,E),B),C)).
% 0.18/0.53    Following clause subsumed by 792 during input processing: 0 [copy,759,flip.1] {-} c_Product__Type_OSigma(A,B,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),D),c_COMBK(tc_fun(B,tc_HOL_Obool),A,E))=c_Product__Type_OSigma(A,B,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),D),c_COMBK(tc_fun(B,tc_HOL_Obool),A,E)).
% 0.18/0.53    Following clause subsumed by 765 during input processing: 0 [copy,765,flip.1] {-} hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),B),C)=hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool)),C),B).
% 0.18/0.53    Following clause subsumed by 792 during input processing: 0 [copy,792,flip.1] {-} A=A.
% 0.18/0.53  792 back subsumes 759.
% 0.18/0.53  792 back subsumes 561.
% 0.18/0.53  792 back subsumes 556.
% 0.18/0.53  792 back subsumes 555.
% 0.18/0.53  792 back subsumes 553.
% 0.18/0.53  792 back subsumes 550.
% 0.18/0.53  792 back subsumes 549.
% 0.18/0.53  792 back subsumes 543.
% 0.18/0.53  792 back subsumes 540.
% 0.18/0.53  792 back subsumes 536.
% 0.18/0.53  792 back subsumes 533.
% 0.18/0.53  792 back subsumes 532.
% 0.18/0.53  792 back subsumes 519.
% 0.18/0.53  792 back subsumes 514.
% 0.18/0.53  792 back subsumes 512.
% 0.18/0.53  792 back subsumes 509.
% 0.18/0.53  792 back subsumes 508.
% 0.18/0.53  792 back subsumes 507.
% 0.18/0.53  792 back subsumes 499.
% 0.18/0.53  792 back subsumes 496.
% 0.18/0.53  792 back subsumes 492.
% 0.18/0.53  792 back subsumes 490.
% 0.18/0.53    Following clause subsumed by 587 during input processing: 0 [copy,793,flip.1] {-} c_Product__Type_Oprod_Oprod__rec(A,B,C,D,hAPP(hAPP(c_Product__Type_OPair(A,B),E),F))=hAPP(hAPP(D,E),F).
% 0.18/0.53    Following clause subsumed by 590 during input processing: 0 [copy,794,flip.1] {-} hAPP(hAPP(c_Product__Type_Ointernal__split(A,B,C),D),hAPP(hAPP(c_Product__Type_OPair(A,B),E),F))=hAPP(hAPP(D,E),F).
% 0.18/0.53    Following clause subsumed by 591 during input processing: 0 [copy,795,flip.1] {-} hAPP(hAPP(c_Product__Type_Ocurry(A,B,C,D),E),F)=hAPP(D,hAPP(hAPP(c_Product__Type_OPair(A,B),E),F)).
% 0.18/0.53    Following clause subsumed by 610 during input processing: 0 [copy,796,flip.1] {-} c_FuncSet_OPi(A,B,C,c_COMBK(tc_fun(B,tc_HOL_Obool),A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_HOL_Obool))))=c_Orderings_Otop__class_Otop(tc_fun(tc_fun(A,B),tc_HOL_Obool)).
% 0.18/0.53    Following clause subsumed by 642 during input processing: 0 [copy,797,flip.1] {-} c_Relation_ODomain(A,A,c_Transitive__Closure_Ortrancl(A,B))=c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)).
% 0.18/0.53    Following clause subsumed by 655 during input processing: 0 [copy,798,flip.1] {-} c_Relation_ORange(A,A,c_Transitive__Closure_Ortrancl(A,B))=c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)).
% 0.18/0.53    Following clause subsumed by 746 during input processing: 0 [copy,818,flip.1] {-} c_Set_Oimage(A,B,C,c_Set_Oinsert(A,D,E))=c_Set_Oinsert(B,hAPP(C,D),c_Set_Oimage(A,B,C,E)).
% 0.18/0.53    Following clause subsumed by 790 during input processing: 0 [copy,819,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.18/0.53    Following clause subsumed by 791 during input processing: 0 [copy,820,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.18/0.53  
% 0.18/0.53  ======= end of input processing =======
% 0.18/0.54  
% 0.18/0.54  SEGMENTATION FAULT!!  This is probably caused by a
% 0.18/0.54  bug in Otter.  Please send copy of the input file to
% 0.18/0.54  otter@mcs.anl.gov, let us know what version of Otter you are
% 0.18/0.54  using, and send any other info that might be useful.
% 0.18/0.54  
% 0.18/0.54  
% 0.18/0.54  SEGMENTATION FAULT!!  This is probably caused by a
% 0.18/0.54  bug in Otter.  Please send copy of the input file to
% 0.18/0.54  otter@mcs.anl.gov, let us know what version of Otter you are
% 0.18/0.54  using, and send any other info that might be useful.
% 0.18/0.54  
% 0.18/0.54  
% 0.18/0.54  The job finished Sat Jul  2 00:10:38 2022
%------------------------------------------------------------------------------