TSTP Solution File: SCT117+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SCT117+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n019.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 22:12:11 EDT 2022

% Result   : Unknown 3.07s 3.31s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SCT117+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13  % Command  : sos-script %s
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Fri Jul  1 23:49:23 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 1.10/1.33  ----- Otter 3.2, August 2001 -----
% 1.10/1.33  The process was started by sandbox on n019.cluster.edu,
% 1.10/1.33  Fri Jul  1 23:49:23 2022
% 1.10/1.33  The command was "./sos".  The process ID is 22174.
% 1.10/1.33  
% 1.10/1.33  set(prolog_style_variables).
% 1.10/1.33  set(auto).
% 1.10/1.33     dependent: set(auto1).
% 1.10/1.33     dependent: set(process_input).
% 1.10/1.33     dependent: clear(print_kept).
% 1.10/1.33     dependent: clear(print_new_demod).
% 1.10/1.33     dependent: clear(print_back_demod).
% 1.10/1.33     dependent: clear(print_back_sub).
% 1.10/1.33     dependent: set(control_memory).
% 1.10/1.33     dependent: assign(max_mem, 12000).
% 1.10/1.33     dependent: assign(pick_given_ratio, 4).
% 1.10/1.33     dependent: assign(stats_level, 1).
% 1.10/1.33     dependent: assign(pick_semantic_ratio, 3).
% 1.10/1.33     dependent: assign(sos_limit, 5000).
% 1.10/1.33     dependent: assign(max_weight, 60).
% 1.10/1.33  clear(print_given).
% 1.10/1.33  
% 1.10/1.33  formula_list(usable).
% 1.10/1.33  
% 1.10/1.33  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8.
% 1.10/1.33  
% 1.10/1.33  This ia a non-Horn set with equality.  The strategy will be
% 1.10/1.33  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 1.10/1.33  unit deletion, with positive clauses in sos and nonpositive
% 1.10/1.33  clauses in usable.
% 1.10/1.33  
% 1.10/1.33     dependent: set(knuth_bendix).
% 1.10/1.33     dependent: set(para_from).
% 1.10/1.33     dependent: set(para_into).
% 1.10/1.33     dependent: clear(para_from_right).
% 1.10/1.33     dependent: clear(para_into_right).
% 1.10/1.33     dependent: set(para_from_vars).
% 1.10/1.33     dependent: set(eq_units_both_ways).
% 1.10/1.33     dependent: set(dynamic_demod_all).
% 1.10/1.33     dependent: set(dynamic_demod).
% 1.10/1.33     dependent: set(order_eq).
% 1.10/1.33     dependent: set(back_demod).
% 1.10/1.33     dependent: set(lrpo).
% 1.10/1.33     dependent: set(hyper_res).
% 1.10/1.33     dependent: set(unit_deletion).
% 1.10/1.33     dependent: set(factor).
% 1.10/1.33  
% 1.10/1.33  ------------> process usable:
% 1.10/1.33    Following clause subsumed by 23 during input processing: 0 [] {-} c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|C=E.
% 1.10/1.33    Following clause subsumed by 24 during input processing: 0 [] {-} c_Product__Type_OPair(A,B,C,D)!=c_Product__Type_OPair(A,B,E,F)|D=F.
% 1.10/1.33    Following clause subsumed by 28 during input processing: 0 [] {-} A!=B|c_member(C,A,D)| -c_member(C,B,D).
% 1.10/1.33    Following clause subsumed by 3 during input processing: 0 [] {-} A!=B| -c_member(C,D,A)|c_member(C,D,B).
% 1.10/1.33    Following clause subsumed by 2 during input processing: 0 [] {-} A!=B|c_member(C,D,A)| -c_member(C,D,B).
% 1.10/1.33    Following clause subsumed by 34 during input processing: 0 [] {-} -c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),A,c_Arrow__Order__Mirabelle_OLin)|B=C| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,B,C),A)| -c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,C,B),A).
% 1.10/1.33    Following clause subsumed by 42 during input processing: 0 [] {-} -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D)|hAPP(c_Recdef_Ocut(A,E,F,D,C),B)=hAPP(F,B).
% 1.10/1.33    Following clause subsumed by 46 during input processing: 0 [] {-} -hBOOL(c_Product__Type_Ocurry(A,B,tc_HOL_Obool,C,D,E))|hBOOL(hAPP(C,c_Product__Type_OPair(A,B,D,E))).
% 1.10/1.33    Following clause subsumed by 85 during input processing: 0 [] {-} -c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,B),C)|c_member(A,D,c_Wellfounded_Oacc(A,C)).
% 1.10/1.33    Following clause subsumed by 91 during input processing: 0 [] {-} -c_member(A,B,c_Wellfounded_Oacc(A,C))| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,B),c_Transitive__Closure_Ortrancl(A,C))|c_member(A,D,c_Wellfounded_Oacc(A,C)).
% 1.10/1.33    Following clause subsumed by 97 during input processing: 0 [] {-} A!=B| -c_member(C,A,D)|c_member(tc_prod(C,C),c_Product__Type_OPair(C,C,A,B),c_Relation_OId__on(C,D)).
% 1.10/1.33    Following clause subsumed by 101 during input processing: 0 [] {-} -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),E)|c_member(tc_prod(B,A),c_Product__Type_OPair(B,A,D,C),c_Relation_Oconverse(A,B,E)).
% 1.10/1.33    Following clause subsumed by 100 during input processing: 0 [] {-} -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Relation_Oconverse(B,A,E))|c_member(tc_prod(B,A),c_Product__Type_OPair(B,A,D,C),E).
% 1.10/1.33    Following clause subsumed by 94 during input processing: 0 [] {-} c_member(A,B,c_Relation_ORange(C,A,D))| -c_member(tc_prod(C,A),c_Product__Type_OPair(C,A,E,B),D).
% 1.10/1.33    Following clause subsumed by 92 during input processing: 0 [] {-} c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))| -c_member(A,C,E)| -c_member(B,D,hAPP(F,C)).
% 1.10/1.33    Following clause subsumed by 103 during input processing: 0 [] {-} -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))|c_member(A,C,E).
% 1.10/1.33    Following clause subsumed by 104 during input processing: 0 [] {-} -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))|c_member(B,D,hAPP(F,C)).
% 1.10/1.33    Following clause subsumed by 103 during input processing: 0 [] {-} -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))|c_member(A,C,E).
% 1.10/1.33    Following clause subsumed by 104 during input processing: 0 [] {-} -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,C,D),c_Product__Type_OSigma(A,B,E,F))|c_member(B,D,hAPP(F,C)).
% 1.10/1.33    Following clause subsumed by 136 during input processing: 0 [] {-} -c_Relation_Osingle__valued(A,B,C)| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,E),C)| -c_member(tc_prod(A,B),c_Product__Type_OPair(A,B,D,F),C)|E=F.
% 1.10/1.33    Following clause subsumed by 125 during input processing: 0 [] {-} c_member(A,B,c_Relation_ODomain(A,C,D))| -c_member(tc_prod(A,C),c_Product__Type_OPair(A,C,B,E),D).
% 1.10/1.33    Following clause subsumed by 165 during input processing: 0 [] {-} -c_Relation_Oantisym(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,C),B)|C=D.
% 1.10/1.33    Following clause subsumed by 164 during input processing: 0 [] {-} c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D)).
% 1.10/1.33    Following clause subsumed by 180 during input processing: 0 [] {-} -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Ortrancl(A,D))|B=C|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),c_Transitive__Closure_Otrancl(A,D)).
% 1.10/1.33    Following clause subsumed by 208 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),A,D),B)).
% 1.10/1.33    Following clause subsumed by 207 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),D,A),B)).
% 1.10/1.33    Following clause subsumed by 237 during input processing: 0 [] {-} -c_member(A,B,C)|c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,D),C)=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),D,C).
% 1.10/1.33    Following clause subsumed by 216 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 1.10/1.33    Following clause subsumed by 217 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 1.10/1.33    Following clause subsumed by 215 during input processing: 0 [] {-} c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,C)|c_member(A,B,D).
% 1.10/1.33    Following clause subsumed by 216 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 1.10/1.33    Following clause subsumed by 217 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 1.10/1.33    Following clause subsumed by 212 during input processing: 0 [] {-} -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C)|c_member(A,B,D).
% 1.10/1.33    Following clause subsumed by 214 during input processing: 0 [] {-} c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,C).
% 1.10/1.33    Following clause subsumed by 213 during input processing: 0 [] {-} c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 1.10/1.33    Following clause subsumed by 214 during input processing: 0 [] {-} -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D)).
% 1.10/1.33    Following clause subsumed by 213 during input processing: 0 [] {-} -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C)).
% 1.10/1.33    Following clause subsumed by 209 during input processing: 0 [] {-} -c_member(A,B,c_Set_Oinsert(A,C,D))|B=C|c_member(A,B,D).
% 1.10/1.33    Following clause subsumed by 211 during input processing: 0 [] {-} c_member(A,B,c_Set_Oinsert(A,C,D))|B!=C.
% 1.10/1.33    Following clause subsumed by 210 during input processing: 0 [] {-} c_member(A,B,c_Set_Oinsert(A,C,D))| -c_member(A,B,D).
% 1.10/1.33    Following clause subsumed by 210 during input processing: 0 [] {-} -c_member(A,B,C)|c_member(A,B,c_Set_Oinsert(A,D,C)).
% 1.10/1.33    Following clause subsumed by 271 during input processing: 0 [] {-} -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,C),B).
% 1.10/1.33    Following clause subsumed by 270 during input processing: 0 [] {-} -c_Wellfounded_Owf(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,C),B).
% 1.10/1.33    Following clause subsumed by 272 during input processing: 0 [] {-} -c_Wellfounded_Owf(A,B)|c_member(A,C,c_Wellfounded_Oacc(A,B)).
% 1.10/1.33    Following clause subsumed by 275 during input processing: 0 [] {-} -c_Relation_Otrans(A,B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,D),B)| -c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,D,E),B)|c_member(tc_prod(A,A),c_Product__Type_OPair(A,A,C,E),B).
% 1.10/1.33    Following clause subsumed by 278 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,B)=B.
% 1.10/1.33    Following clause subsumed by 279 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=c_Lattices_Osemilattice__sup__class_Osup(A,C,B).
% 1.10/1.33    Following clause subsumed by 281 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,B,C))=c_Lattices_Osemilattice__sup__class_Osup(A,B,C).
% 1.10/1.33    Following clause subsumed by 283 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D))=c_Lattices_Osemilattice__sup__class_Osup(A,C,c_Lattices_Osemilattice__sup__class_Osup(A,B,D)).
% 1.10/1.33    Following clause subsumed by 285 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)=c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D)).
% 1.10/1.33    Following clause subsumed by 292 during input processing: 0 [flip.2] {-} -c_Wellfounded_Owf(A,B)|hAPP(hAPP(D,c_Recdef_Ocut(A,C,c_Recdef_Owfrec(A,C,B,D),B,E)),E)=hAPP(c_Recdef_Owfrec(A,C,B,D),E).
% 1.10/1.33    Following clause subsumed by 330 during input processing: 0 [] {-} -c_member(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))).
% 1.10/1.33    Following clause subsumed by 333 during input processing: 0 [] {-} -c_member(A,B,C)|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.10/1.33    Following clause subsumed by 333 during input processing: 0 [] {-} -c_member(A,B,C)|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.10/1.33    Following clause subsumed by 211 during input processing: 0 [] {-} c_member(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B!=C.
% 1.10/1.33    Following clause subsumed by 355 during input processing: 0 [] {-} -c_member(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B=C.
% 1.10/1.33    Following clause subsumed by 367 during input processing: 0 [] {-} c_member(A,B,c_Relation_OImage(C,A,D,E))| -c_member(C,F,E)| -c_member(tc_prod(C,A),c_Product__Type_OPair(C,A,F,B),D).
% 1.10/1.33    Following clause subsumed by 371 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.
% 1.10/1.34    Following clause subsumed by 372 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 1.10/1.34    Following clause subsumed by 371 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).
% 1.10/1.34    Following clause subsumed by 371 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.
% 1.10/1.34    Following clause subsumed by 372 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.
% 1.10/1.34    Following clause subsumed by 371 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).
% 1.10/1.34    Following clause subsumed by 376 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 1.10/1.34    Following clause subsumed by 375 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 1.10/1.34    Following clause subsumed by 376 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 1.10/1.34    Following clause subsumed by 376 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 1.10/1.34    Following clause subsumed by 371 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).
% 1.10/1.34    Following clause subsumed by 406 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).
% 1.10/1.34    Following clause subsumed by 407 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).
% 1.10/1.34    Following clause subsumed by 406 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).
% 1.10/1.34    Following clause subsumed by 375 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 1.10/1.34    Following clause subsumed by 412 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.
% 1.10/1.34    Following clause subsumed by 411 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).
% 1.10/1.34    Following clause subsumed by 406 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).
% 1.10/1.34    Following clause subsumed by 406 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).
% 1.10/1.34    Following clause subsumed by 412 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).
% 1.10/1.34    Following clause subsumed by 407 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).
% 1.10/1.34    Following clause subsumed by 413 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).
% 1.10/1.34    Following clause subsumed by 417 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.
% 1.10/1.34    Following clause subsumed by 372 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.
% 1.10/1.34    Following clause subsumed by 412 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.
% 1.10/1.34    Following clause subsumed by 412 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,B,C).
% 1.10/1.34    Following clause subsumed by 419 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|C=B|c_Orderings_Oord__class_Oless(A,B,C).
% 1.10/1.34    Following clause subsumed by 426 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).
% 1.10/1.34    Following clause subsumed by 426 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).
% 1.10/1.34    Following clause subsumed by 427 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.
% 1.10/1.34    Following clause subsumed by 428 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))|B!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 1.10/1.34    Following clause subsumed by 416 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B!=C|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 1.10/1.34    Following clause subsumed by 435 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)).
% 1.10/1.34    Following clause subsumed by 439 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.
% 1.10/1.34    Following clause subsumed by 416 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.
% 1.10/1.34    Following clause subsumed by 439 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.
% 1.10/1.34    Following clause subsumed by 439 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.
% 1.10/1.34    Following clause subsumed by 435 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)).
% 1.10/1.34    Following clause subsumed by 437 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).
% 1.10/1.34    Following clause subsumed by 405 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 1.10/1.34    Following clause subsumed by 405 during input processing: 0 [] {-} -c_member(A,B,C)| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C,D)|c_member(A,B,D).
% 1.10/1.34    Following clause subsumed by 405 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 1.10/1.34    Following clause subsumed by 452 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,D,C)|c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,D),C).
% 1.10/1.34    Following clause subsumed by 449 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 1.10/1.34    Following clause subsumed by 450 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)|c_Orderings_Oord__class_Oless__eq(A,C,D).
% 2.61/2.80    Following clause subsumed by 452 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)| -c_Orderings_Oord__class_Oless__eq(A,B,D)| -c_Orderings_Oord__class_Oless__eq(A,C,D).
% 2.61/2.80    Following clause subsumed by 454 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=C.
% 2.61/2.80    Following clause subsumed by 467 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C)=C.
% 2.61/2.80    Following clause subsumed by 472 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -hBOOL(hAPP(B,D))|hBOOL(hAPP(C,D)).
% 2.61/2.80    Following clause subsumed by 428 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B).
% 2.61/2.80    Following clause subsumed by 404 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).
% 2.61/2.80    Following clause subsumed by 428 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B).
% 2.61/2.80    Following clause subsumed by 473 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B,A).
% 2.61/2.80    Following clause subsumed by 428 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B).
% 2.61/2.80    Following clause subsumed by 473 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B,A).
% 2.61/2.80    Following clause subsumed by 463 during input processing: 0 [] {-} c_member(A,B,C)|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,D))| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C,D).
% 2.61/2.80    Following clause subsumed by 486 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))|c_member(A,C,B)|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,D).
% 2.61/2.80    Following clause subsumed by 463 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))|c_member(A,C,B)| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,D).
% 2.61/2.80    Following clause subsumed by 463 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D)| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,D).
% 2.61/2.80    Following clause subsumed by 495 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D)| -c_member(A,C,B)|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D)).
% 2.61/2.80  169 back subsumes 168.
% 2.61/2.80  181 back subsumes 124.
% 2.61/2.80    Following clause subsumed by 342 during input processing: 0 [copy,341,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))!=c_Set_Oinsert(A,B,C).
% 2.61/2.80    Following clause subsumed by 341 during input processing: 0 [copy,342,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 2.61/2.80  5421 back subsumes 5417.
% 2.61/2.80  5423 back subsumes 5415.
% 2.61/2.80  5427 back subsumes 5426.
% 2.61/2.80  5427 back subsumes 5420.
% 2.61/2.80  
% 2.61/2.80  ------------> process sos:
% 2.61/2.80    Following clause subsumed by 5536 during input processing: 0 [demod,5631] {-} c_Relation_Orefl__on(A,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)),c_Relation_OId__on(A,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 2.61/2.80    Following clause subsumed by 5664 during input processing: 0 [] {-} c_Nitpick_Ofold__graph_H(A,B,C,D,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)),D).
% 2.61/2.80  5496 back subsumes 5430.
% 3.07/3.27    Following clause subsumed by 5699 during input processing: 0 [copy,5508,flip.1] {-} c_Relation_ORange(A,B,C)=c_Relation_ORange(A,B,C).
% 3.07/3.27    Following clause subsumed by 5552 during input processing: 0 [copy,5552,flip.1] {-} c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,B).
% 3.07/3.27    Following clause subsumed by 5559 during input processing: 0 [copy,5559,flip.1] {-} c_Set_Oinsert(A,B,c_Set_Oinsert(A,C,D))=c_Set_Oinsert(A,C,c_Set_Oinsert(A,B,D)).
% 3.07/3.27    Following clause subsumed by 5563 during input processing: 0 [copy,5563,flip.1] {-} c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,D)).
% 3.07/3.27  5670 back subsumes 5472.
% 3.07/3.27  5670 back subsumes 5471.
% 3.07/3.27  5670 back subsumes 5467.
% 3.07/3.27  5670 back subsumes 5456.
% 3.07/3.27  5698 back subsumes 2671.
% 3.07/3.27  5698 back subsumes 2669.
% 3.07/3.27  5698 back subsumes 2667.
% 3.07/3.27  5698 back subsumes 2665.
% 3.07/3.27  5698 back subsumes 2663.
% 3.07/3.27  5698 back subsumes 2661.
% 3.07/3.27  5698 back subsumes 2659.
% 3.07/3.27  5698 back subsumes 2657.
% 3.07/3.27  5698 back subsumes 2655.
% 3.07/3.27  5698 back subsumes 2581.
% 3.07/3.27  5698 back subsumes 2579.
% 3.07/3.27  5698 back subsumes 2577.
% 3.07/3.27  5698 back subsumes 2575.
% 3.07/3.27  5698 back subsumes 2573.
% 3.07/3.27  5698 back subsumes 2571.
% 3.07/3.27  5698 back subsumes 2569.
% 3.07/3.27  5698 back subsumes 2567.
% 3.07/3.27  5698 back subsumes 2565.
% 3.07/3.27  5698 back subsumes 2491.
% 3.07/3.27  5698 back subsumes 2489.
% 3.07/3.27  5698 back subsumes 2487.
% 3.07/3.27  5698 back subsumes 2485.
% 3.07/3.27  5698 back subsumes 2483.
% 3.07/3.27  5698 back subsumes 2481.
% 3.07/3.27  5698 back subsumes 2479.
% 3.07/3.27  5698 back subsumes 2477.
% 3.07/3.27  5698 back subsumes 2475.
% 3.07/3.27  5698 back subsumes 2401.
% 3.07/3.27  5698 back subsumes 2399.
% 3.07/3.27  5698 back subsumes 2397.
% 3.07/3.27  5698 back subsumes 2395.
% 3.07/3.27  5698 back subsumes 2393.
% 3.07/3.27  5698 back subsumes 2391.
% 3.07/3.27  5698 back subsumes 2389.
% 3.07/3.27  5698 back subsumes 2387.
% 3.07/3.27  5698 back subsumes 2385.
% 3.07/3.27  5698 back subsumes 2311.
% 3.07/3.27  5698 back subsumes 2309.
% 3.07/3.27  5698 back subsumes 2307.
% 3.07/3.27  5698 back subsumes 2305.
% 3.07/3.27  5698 back subsumes 2303.
% 3.07/3.27  5698 back subsumes 2301.
% 3.07/3.27  5698 back subsumes 2299.
% 3.07/3.27  5698 back subsumes 2297.
% 3.07/3.27  5698 back subsumes 2295.
% 3.07/3.27  5698 back subsumes 2221.
% 3.07/3.27  5698 back subsumes 2219.
% 3.07/3.27  5698 back subsumes 2217.
% 3.07/3.27  5698 back subsumes 2215.
% 3.07/3.27  5698 back subsumes 2213.
% 3.07/3.27  5698 back subsumes 2211.
% 3.07/3.27  5698 back subsumes 2209.
% 3.07/3.27  5698 back subsumes 2207.
% 3.07/3.27  5698 back subsumes 2205.
% 3.07/3.27  5698 back subsumes 2131.
% 3.07/3.27  5698 back subsumes 2129.
% 3.07/3.27  5698 back subsumes 2127.
% 3.07/3.27  5698 back subsumes 2125.
% 3.07/3.27  5698 back subsumes 2123.
% 3.07/3.27  5698 back subsumes 2121.
% 3.07/3.27  5698 back subsumes 2119.
% 3.07/3.27  5698 back subsumes 2117.
% 3.07/3.27  5698 back subsumes 2115.
% 3.07/3.27  5698 back subsumes 2041.
% 3.07/3.27  5698 back subsumes 2039.
% 3.07/3.27  5698 back subsumes 2037.
% 3.07/3.27  5698 back subsumes 2035.
% 3.07/3.27  5698 back subsumes 2033.
% 3.07/3.27  5698 back subsumes 2031.
% 3.07/3.27  5698 back subsumes 2029.
% 3.07/3.27  5698 back subsumes 2027.
% 3.07/3.27  5698 back subsumes 2025.
% 3.07/3.27  5698 back subsumes 1951.
% 3.07/3.27  5698 back subsumes 1949.
% 3.07/3.27  5698 back subsumes 1947.
% 3.07/3.27  5698 back subsumes 1945.
% 3.07/3.27  5698 back subsumes 1943.
% 3.07/3.27  5698 back subsumes 1941.
% 3.07/3.27  5698 back subsumes 1939.
% 3.07/3.27  5698 back subsumes 1937.
% 3.07/3.27  5698 back subsumes 1935.
% 3.07/3.27  5698 back subsumes 1861.
% 3.07/3.27  5698 back subsumes 1859.
% 3.07/3.27  5698 back subsumes 1857.
% 3.07/3.27  5698 back subsumes 1855.
% 3.07/3.27  5698 back subsumes 1853.
% 3.07/3.27  5698 back subsumes 1851.
% 3.07/3.27  5698 back subsumes 1849.
% 3.07/3.27  5698 back subsumes 1847.
% 3.07/3.27  5698 back subsumes 1845.
% 3.07/3.27  5698 back subsumes 1771.
% 3.07/3.27  5698 back subsumes 1769.
% 3.07/3.27  5698 back subsumes 1767.
% 3.07/3.27  5698 back subsumes 1765.
% 3.07/3.27  5698 back subsumes 1763.
% 3.07/3.27  5698 back subsumes 1761.
% 3.07/3.27  5698 back subsumes 1759.
% 3.07/3.27  5698 back subsumes 1757.
% 3.07/3.27  5698 back subsumes 1755.
% 3.07/3.27  5698 back subsumes 1681.
% 3.07/3.27  5698 back subsumes 1679.
% 3.07/3.27  5698 back subsumes 1677.
% 3.07/3.27  5698 back subsumes 1675.
% 3.07/3.27  5698 back subsumes 1673.
% 3.07/3.27  5698 back subsumes 1671.
% 3.07/3.27  5698 back subsumes 1669.
% 3.07/3.27  5698 back subsumes 1667.
% 3.07/3.27  5698 back subsumes 1665.
% 3.07/3.27  5698 back subsumes 1591.
% 3.07/3.27  5698 back subsumes 1589.
% 3.07/3.27  5698 back subsumes 1587.
% 3.07/3.27  5698 back subsumes 1585.
% 3.07/3.27  5698 back subsumes 1583.
% 3.07/3.27  5698 back subsumes 1581.
% 3.07/3.27  5698 back subsumes 1579.
% 3.07/3.27  5698 back subsumes 1577.
% 3.07/3.27  5698 back subsumes 1575.
% 3.07/3.27  5698 back subsumes 1501.
% 3.07/3.27  5698 back subsumes 1499.
% 3.07/3.27  5698 back subsumes 1497.
% 3.07/3.27  5698 back subsumes 1495.
% 3.07/3.27  5698 back subsumes 1493.
% 3.07/3.27  5698 back subsumes 1491.
% 3.07/3.27  5698 back subsumes 1489.
% 3.07/3.27  5698 back subsumes 1487.
% 3.07/3.27  5698 back subsumes 1485.
% 3.07/3.27  5698 back subsumes 1411.
% 3.07/3.27  5698 back subsumes 1409.
% 3.07/3.30  5698 back subsumes 1407.
% 3.07/3.30  5698 back subsumes 1405.
% 3.07/3.30  5698 back subsumes 1403.
% 3.07/3.30  5698 back subsumes 1401.
% 3.07/3.30  5698 back subsumes 1399.
% 3.07/3.30  5698 back subsumes 1397.
% 3.07/3.30  5698 back subsumes 1395.
% 3.07/3.30    Following clause subsumed by 5699 during input processing: 0 [copy,5699,flip.1] {-} A=A.
% 3.07/3.30  5699 back subsumes 5508.
% 3.07/3.30  5699 back subsumes 5476.
% 3.07/3.30  5699 back subsumes 5460.
% 3.07/3.30  5699 back subsumes 5458.
% 3.07/3.30  5699 back subsumes 5454.
% 3.07/3.30  5699 back subsumes 5453.
% 3.07/3.30  5699 back subsumes 5450.
% 3.07/3.30  5699 back subsumes 5449.
% 3.07/3.30  5699 back subsumes 5448.
% 3.07/3.30  5699 back subsumes 5438.
% 3.07/3.30  5699 back subsumes 5437.
% 3.07/3.30  5699 back subsumes 5433.
% 3.07/3.30  5699 back subsumes 5432.
% 3.07/3.30  5699 back subsumes 5431.
% 3.07/3.30  5699 back subsumes 5423.
% 3.07/3.30  5699 back subsumes 5418.
% 3.07/3.30  5699 back subsumes 5416.
% 3.07/3.30  5699 back subsumes 5413.
% 3.07/3.30  5699 back subsumes 5412.
% 3.07/3.30  5699 back subsumes 5411.
% 3.07/3.30  5699 back subsumes 5402.
% 3.07/3.30  5699 back subsumes 5399.
% 3.07/3.30  5699 back subsumes 5395.
% 3.07/3.30  5699 back subsumes 5394.
% 3.07/3.30    Following clause subsumed by 5477 during input processing: 0 [copy,5700,flip.1] {-} c_Product__Type_Oprod_Oprod__rec(A,B,C,D,c_Product__Type_OPair(A,B,E,F))=hAPP(hAPP(D,E),F).
% 3.07/3.30    Following clause subsumed by 5478 during input processing: 0 [copy,5701,flip.1] {-} c_Product__Type_Ointernal__split(A,B,C,D,c_Product__Type_OPair(A,B,E,F))=hAPP(hAPP(D,E),F).
% 3.07/3.30    Following clause subsumed by 5480 during input processing: 0 [copy,5702,flip.1] {-} c_Product__Type_Ocurry(A,B,C,D,E,F)=hAPP(D,c_Product__Type_OPair(A,B,E,F)).
% 3.07/3.30    Following clause subsumed by 5569 during input processing: 0 [copy,5708,flip.1] {-} c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,C),D)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,D)).
% 3.07/3.30    Following clause subsumed by 5586 during input processing: 0 [copy,5709,flip.1] {-} c_Relation_Oconverse(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,B),tc_HOL_Obool),C,D))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(B,A),tc_HOL_Obool),c_Relation_Oconverse(A,B,C),c_Relation_Oconverse(A,B,D)).
% 3.07/3.30    Following clause subsumed by 5602 during input processing: 0 [copy,5710,flip.1] {-} c_Relation_OField(A,B)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),c_Relation_ODomain(A,A,B),c_Relation_ORange(A,A,B)).
% 3.07/3.30    Following clause subsumed by 5609 during input processing: 0 [copy,5711,flip.1] {-} c_Relation_OField(A,c_Set_Oinsert(tc_prod(A,A),c_Product__Type_OPair(A,A,B,C),D))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),c_Relation_OField(A,D)).
% 3.07/3.30    Following clause subsumed by 5626 during input processing: 0 [copy,5715,flip.1] {-} c_Product__Type_OSigma(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)),C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_HOL_Obool)).
% 3.07/3.30    Following clause subsumed by 5637 during input processing: 0 [copy,5723,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 3.07/3.30    Following clause subsumed by 5647 during input processing: 0 [copy,5724,flip.1] {-} c_Set_Oinsert(A,B,C)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))),C).
% 3.07/3.30    Following clause subsumed by 5648 during input processing: 0 [copy,5725,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,D),c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 3.07/3.30    Following clause subsumed by 5649 during input processing: 0 [copy,5726,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D).
% 3.07/3.30    Following clause subsumed by 5658 during input processing: 0 [copy,5753,flip.1] {-} c_Relation_OImage(A,B,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_HOL_Obool)).
% 3.07/3.30    Following clause subsumed by 5662 during input processing: 0 [copy,5754,flip.1] {-} c_Relation_OImage(A,B,C,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,E))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool),c_Relation_OImage(A,B,C,D),c_Relation_OImage(A,B,C,E)).
% 3.07/3.30    Following clause subsumed by 5663 during input processing: 0 [copy,5755,flip.1] {-} c_Relation_OImage(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(A,B),tc_HOL_Obool),C,D),E)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(B,tc_HOL_Obool),c_Relation_OImage(A,B,C,E),c_Relation_OImage(A,B,D,E)).
% 3.07/3.30  
% 3.07/3.30  ======= end of input processing =======
% 3.07/3.31  
% 3.07/3.31  SEGMENTATION FAULT!!  This is probably caused by a
% 3.07/3.31  bug in Otter.  Please send copy of the input file to
% 3.07/3.31  otter@mcs.anl.gov, let us know what version of Otter you are
% 3.07/3.31  using, and send any other info that might be useful.
% 3.07/3.31  
% 3.07/3.31  
% 3.07/3.31  SEGMENTATION FAULT!!  This is probably caused by a
% 3.07/3.31  bug in Otter.  Please send copy of the input file to
% 3.07/3.31  otter@mcs.anl.gov, let us know what version of Otter you are
% 3.07/3.31  using, and send any other info that might be useful.
% 3.07/3.31  
% 3.07/3.31  
% 3.07/3.31  The job finished Fri Jul  1 23:49:26 2022
%------------------------------------------------------------------------------