TSTP Solution File: SWV913-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWV913-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n024.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 21:40:37 EDT 2022

% Result   : Unknown 0.22s 0.50s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV913-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15  % Command  : sos-script %s
% 0.14/0.36  % Computer : n024.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jun 15 04:30:18 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.45  ----- Otter 3.2, August 2001 -----
% 0.22/0.45  The process was started by sandbox2 on n024.cluster.edu,
% 0.22/0.45  Wed Jun 15 04:30:18 2022
% 0.22/0.45  The command was "./sos".  The process ID is 23269.
% 0.22/0.45  
% 0.22/0.45  set(prolog_style_variables).
% 0.22/0.45  set(auto).
% 0.22/0.45     dependent: set(auto1).
% 0.22/0.45     dependent: set(process_input).
% 0.22/0.45     dependent: clear(print_kept).
% 0.22/0.45     dependent: clear(print_new_demod).
% 0.22/0.45     dependent: clear(print_back_demod).
% 0.22/0.45     dependent: clear(print_back_sub).
% 0.22/0.45     dependent: set(control_memory).
% 0.22/0.45     dependent: assign(max_mem, 12000).
% 0.22/0.45     dependent: assign(pick_given_ratio, 4).
% 0.22/0.45     dependent: assign(stats_level, 1).
% 0.22/0.45     dependent: assign(pick_semantic_ratio, 3).
% 0.22/0.45     dependent: assign(sos_limit, 5000).
% 0.22/0.45     dependent: assign(max_weight, 60).
% 0.22/0.45  clear(print_given).
% 0.22/0.45  
% 0.22/0.45  list(usable).
% 0.22/0.45  
% 0.22/0.45  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.22/0.45  
% 0.22/0.45  This ia a non-Horn set with equality.  The strategy will be
% 0.22/0.45  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.22/0.45  unit deletion, with positive clauses in sos and nonpositive
% 0.22/0.45  clauses in usable.
% 0.22/0.45  
% 0.22/0.45     dependent: set(knuth_bendix).
% 0.22/0.45     dependent: set(para_from).
% 0.22/0.45     dependent: set(para_into).
% 0.22/0.45     dependent: clear(para_from_right).
% 0.22/0.45     dependent: clear(para_into_right).
% 0.22/0.45     dependent: set(para_from_vars).
% 0.22/0.45     dependent: set(eq_units_both_ways).
% 0.22/0.45     dependent: set(dynamic_demod_all).
% 0.22/0.45     dependent: set(dynamic_demod).
% 0.22/0.45     dependent: set(order_eq).
% 0.22/0.45     dependent: set(back_demod).
% 0.22/0.45     dependent: set(lrpo).
% 0.22/0.45     dependent: set(hyper_res).
% 0.22/0.45     dependent: set(unit_deletion).
% 0.22/0.45     dependent: set(factor).
% 0.22/0.45  
% 0.22/0.45  ------------> process usable:
% 0.22/0.45    Following clause subsumed by 4 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_lessequals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 0.22/0.45    Following clause subsumed by 27 during input processing: 0 [] {-} -c_Orderings_Olinorder(A,B,C)| -hBOOL(hAPP(hAPP(B,D),D)).
% 0.22/0.45    Following clause subsumed by 36 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.
% 0.22/0.45    Following clause subsumed by 36 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.
% 0.22/0.45    Following clause subsumed by 36 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)).
% 0.22/0.45    Following clause subsumed by 42 during input processing: 0 [] {-} c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lessequals(C,D,tc_fun(A,tc_bool))| -c_lessequals(B,D,tc_fun(A,tc_bool)).
% 0.22/0.45    Following clause subsumed by 43 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.22/0.45    Following clause subsumed by 43 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.22/0.45    Following clause subsumed by 56 during input processing: 0 [] {-} hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 0.22/0.45    Following clause subsumed by 59 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lessequals(A,D,tc_fun(B,tc_bool))|hBOOL(c_in(C,A,B)).
% 0.22/0.45    Following clause subsumed by 60 during input processing: 0 [] {-} c_lessequals(A,B,tc_fun(C,tc_bool))| -c_lessequals(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C)).
% 0.22/0.45    Following clause subsumed by 62 during input processing: 0 [] {-} hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)).
% 0.22/0.45    Following clause subsumed by 66 during input processing: 0 [] {-} c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,C).
% 0.22/0.45    Following clause subsumed by 84 during input processing: 0 [] {-} c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 0.22/0.45    Following clause subsumed by 111 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.22/0.45    Following clause subsumed by 112 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.22/0.45    Following clause subsumed by 112 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.22/0.45    Following clause subsumed by 124 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 0.22/0.45    Following clause subsumed by 123 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(A,D,E).
% 0.22/0.45    Following clause subsumed by 124 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(D,C),B))| -c_Orderings_Olinorder(D,A,E).
% 0.22/0.45    Following clause subsumed by 125 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(C,A,D)|hBOOL(hAPP(hAPP(C,B),B)).
% 0.22/0.45    Following clause subsumed by 27 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),B))| -c_Orderings_Olinorder(A,C,D)| -hBOOL(hAPP(hAPP(C,B),B)).
% 0.22/0.45    Following clause subsumed by 141 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A).
% 0.22/0.45    Following clause subsumed by 142 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A).
% 0.22/0.45    Following clause subsumed by 145 during input processing: 0 [] {-} hBOOL(c_in(A,hAPP(c_Set_Ovimage(B,C,D),E),C))| -hBOOL(c_in(hAPP(B,A),E,D)).
% 0.22/0.45    Following clause subsumed by 145 during input processing: 0 [] {-} hBOOL(c_in(A,hAPP(c_Set_Ovimage(B,C,D),E),C))| -hBOOL(c_in(hAPP(B,A),E,D)).
% 0.22/0.45    Following clause subsumed by 146 during input processing: 0 [] {-} hBOOL(c_in(hAPP(A,B),C,D))| -hBOOL(c_in(B,hAPP(c_Set_Ovimage(A,E,D),C),E)).
% 0.22/0.45    Following clause subsumed by 155 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 0.22/0.45    Following clause subsumed by 155 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|B=C| -hBOOL(hAPP(hAPP(D,B),C))| -c_Orderings_Oorder(D,A,E).
% 0.22/0.45    Following clause subsumed by 155 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Oorder(D,C,E).
% 0.22/0.45    Following clause subsumed by 156 during input processing: 0 [] {-} hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)).
% 0.22/0.45    Following clause subsumed by 35 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),c_Collect(D,C)),C)).
% 0.22/0.45    Following clause subsumed by 160 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,A),B))|hBOOL(hAPP(hAPP(D,A),B))| -c_Orderings_Olinorder(C,D,E).
% 0.22/0.45    Following clause subsumed by 166 during input processing: 0 [] {-} -hBOOL(c_in(A,B,C))|hBOOL(c_in(hAPP(D,A),hAPP(c_Set_Oimage(D,C,E),B),E)).
% 0.22/0.45    Following clause subsumed by 166 during input processing: 0 [] {-} hBOOL(c_in(hAPP(A,B),hAPP(c_Set_Oimage(A,C,D),E),D))| -hBOOL(c_in(B,E,C)).
% 0.22/0.45    Following clause subsumed by 166 during input processing: 0 [] {-} hBOOL(c_in(hAPP(A,B),hAPP(c_Set_Oimage(A,C,D),E),D))| -hBOOL(c_in(B,E,C)).
% 0.22/0.45    Following clause subsumed by 184 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 0.22/0.45    Following clause subsumed by 184 during input processing: 0 [] {-} -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.22/0.46    Following clause subsumed by 184 during input processing: 0 [] {-} -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.22/0.46    Following clause subsumed by 184 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 0.22/0.46    Following clause subsumed by 197 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.22/0.46    Following clause subsumed by 197 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.22/0.46    Following clause subsumed by 200 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lessequals(A,D,tc_fun(B,tc_bool))| -c_lessequals(A,C,tc_fun(B,tc_bool)).
% 0.22/0.46    Following clause subsumed by 218 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 0.22/0.46    Following clause subsumed by 219 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 0.22/0.46    Following clause subsumed by 228 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.22/0.46    Following clause subsumed by 228 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -c_lessequals(D,B,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 0.22/0.46    Following clause subsumed by 228 during input processing: 0 [] {-} hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lessequals(D,B,tc_fun(C,tc_bool)).
% 0.22/0.46    Following clause subsumed by 231 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_lessequals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 0.22/0.46    Following clause subsumed by 234 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,B)| -c_lessequals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 0.22/0.46    Following clause subsumed by 238 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,B),A))| -hBOOL(hAPP(hAPP(C,A),B))| -c_Orderings_Oorder(C,D,E).
% 0.22/0.46    Following clause subsumed by 238 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(C,A),B))| -hBOOL(hAPP(hAPP(C,B),A))| -c_Orderings_Oorder(C,D,E).
% 0.22/0.46    Following clause subsumed by 244 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|hBOOL(hAPP(hAPP(A,C),B))|C=B| -c_Orderings_Olinorder(D,A,E).
% 0.22/0.46    Following clause subsumed by 244 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|C=B|hBOOL(hAPP(hAPP(A,C),B))| -c_Orderings_Olinorder(D,A,E).
% 0.22/0.46    Following clause subsumed by 244 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(C,A),B))|hBOOL(hAPP(hAPP(C,B),A))| -c_Orderings_Olinorder(D,C,E).
% 0.22/0.46    Following clause subsumed by 246 during input processing: 0 [] {-} hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 0.22/0.46    Following clause subsumed by 251 during input processing: 0 [] {-} -c_lessequals(A,B,tc_fun(C,tc_bool))|c_lessequals(hAPP(c_Set_Oimage(D,C,E),A),hAPP(c_Set_Oimage(D,C,E),B),tc_fun(E,tc_bool)).
% 0.22/0.46    Following clause subsumed by 203 during input processing: 0 [flip.1] {-} c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 0.22/0.46    Following clause subsumed by 265 during input processing: 0 [] {-} hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B))| -hBOOL(c_in(A,D,B)).
% 0.22/0.46    Following clause subsumed by 313 during input processing: 0 [] {-} hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.22/0.46  271 back subsumes 262.
% 0.22/0.46  271 back subsumes 59.
% 0.22/0.46  307 back subsumes 258.
% 0.22/0.46  313 back subsumes 307.
% 0.22/0.46  352 back subsumes 351.
% 0.22/0.46  
% 0.22/0.46  ------------> process sos:
% 0.22/0.47    Following clause subsumed by 444 during input processing: 0 [demod,397] {-} c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool)).
% 0.22/0.47    Following clause subsumed by 497 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.22/0.47    Following clause subsumed by 435 during input processing: 0 [] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)).
% 0.22/0.47    Following clause subsumed by 481 during input processing: 0 [] {-} hAPP(hAPP(c_Set_Oinsert(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,c_COMBB(hAPP(c_Set_Oinsert(A),B),D,tc_fun(A,tc_bool),tc_fun(A,tc_bool),E),E,tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(E,tc_bool)).
% 0.22/0.47    Following clause subsumed by 523 during input processing: 0 [] {-} hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 0.22/0.47    Following clause subsumed by 523 during input processing: 0 [] {-} hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 0.22/0.47    Following clause subsumed by 542 during input processing: 0 [demod,558,558,446,558] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fequal(B,A)),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fequal(B,A)),C).
% 0.22/0.47    Following clause subsumed by 392 during input processing: 0 [demod,558,558,558,558] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fequal(B,A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fequal(C,A)),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fequal(C,A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fequal(B,A)),D)).
% 0.22/0.47    Following clause subsumed by 442 during input processing: 0 [demod,558,460,558,558,460,558] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fequal(B,A)),c_fequal(C,A))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fequal(C,A)),c_fequal(B,A)).
% 0.22/0.47    Following clause subsumed by 542 during input processing: 0 [] {-} A=A.
% 0.22/0.47    Following clause subsumed by 392 during input processing: 0 [copy,392,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 0.22/0.47    Following clause subsumed by 400 during input processing: 0 [copy,400,flip.1] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B).
% 0.22/0.47    Following clause subsumed by 418 during input processing: 0 [copy,418,flip.1] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)).
% 0.22/0.47    Following clause subsumed by 442 during input processing: 0 [copy,442,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),B).
% 0.22/0.48    Following clause subsumed by 542 during input processing: 0 [copy,444,flip.1] {-} c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D,tc_fun(B,tc_bool),tc_fun(B,tc_bool),E),E,tc_fun(B,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBB(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D,tc_fun(B,tc_bool),tc_fun(B,tc_bool),E),E,tc_fun(B,tc_bool)).
% 0.22/0.48    Following clause subsumed by 542 during input processing: 0 [copy,455,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.22/0.48  471 back subsumes 456.
% 0.22/0.48    Following clause subsumed by 474 during input processing: 0 [copy,472,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(c_Set_Oimage(B,C,A),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 0.22/0.48    Following clause subsumed by 472 during input processing: 0 [copy,474,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.22/0.48    Following clause subsumed by 542 during input processing: 0 [copy,499,flip.1] {-} c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBB(B,C,D,tc_fun(E,tc_bool),F),F,tc_fun(E,tc_bool))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBB(B,C,D,tc_fun(E,tc_bool),F),F,tc_fun(E,tc_bool)).
% 0.22/0.48  499 back subsumes 444.
% 0.22/0.48    Following clause subsumed by 392 during input processing: 0 [copy,520,flip.1,demod,558,558] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fequal(B,A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fequal(B,A)),D)).
% 0.22/0.48    Following clause subsumed by 542 during input processing: 0 [copy,542,flip.1] {-} A=A.
% 0.22/0.48  542 back subsumes 499.
% 0.22/0.48  542 back subsumes 455.
% 0.22/0.48  542 back subsumes 367.
% 0.22/0.48  542 back subsumes 362.
% 0.22/0.48  542 back subsumes 360.
% 0.22/0.48  542 back subsumes 350.
% 0.22/0.48  542 back subsumes 349.
% 0.22/0.48  542 back subsumes 339.
% 0.22/0.48    Following clause subsumed by 378 during input processing: 0 [copy,575,flip.1] {-} hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 0.22/0.48    Following clause subsumed by 384 during input processing: 0 [copy,576,flip.1] {-} c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_COMBB(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D,tc_fun(B,tc_bool),tc_fun(B,tc_bool),A),A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.22/0.48    Following clause subsumed by 411 during input processing: 0 [copy,577,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(c_Set_Ovimage(A,B,C),D),hAPP(c_Set_Ovimage(A,B,C),E),tc_fun(B,tc_bool)).
% 0.22/0.48    Following clause subsumed by 662 during input processing: 0 [copy,584,flip.1] {-} c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fequal(B,A)),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),hAPP(D,B)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 0.22/0.48    Following clause subsumed by 593 during input processing: 0 [copy,585,flip.1] {-} c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.22/0.48    Following clause subsumed by 449 during input processing: 0 [copy,586,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),hAPP(c_Set_Ovimage(A,B,C),D)),hAPP(c_Set_Ovimage(A,B,C),E)).
% 0.22/0.48    Following clause subsumed by 452 during input processing: 0 [copy,587,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),hAPP(c_Set_Ovimage(A,B,C),D)),hAPP(c_Set_Ovimage(A,B,C),E)).
% 0.22/0.48    Following clause subsumed by 453 during input processing: 0 [copy,588,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.22/0.48    Following clause subsumed by 463 during input processing: 0 [copy,589,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.22/0.48    Following clause subsumed by 487 during input processing: 0 [copy,590,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 0.22/0.48    Following clause subsumed by 493 during input processing: 0 [copy,591,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,F,tc_fun(B,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(c_Set_Oimage(A,B,C),E,tc_fun(B,tc_bool),tc_fun(C,tc_bool),F),F,tc_fun(C,tc_bool)).
% 0.22/0.48    Following clause subsumed by 494 during input processing: 0 [copy,592,flip.1] {-} hAPP(c_Set_Ovimage(A,B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,E,F,tc_fun(C,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,c_COMBB(c_Set_Ovimage(A,B,C),E,tc_fun(C,tc_bool),tc_fun(B,tc_bool),F),F,tc_fun(B,tc_bool)).
% 0.22/0.48    Following clause subsumed by 585 during input processing: 0 [copy,593,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)).
% 0.22/0.48    Following clause subsumed by 501 during input processing: 0 [copy,595,flip.1] {-} c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),A),D),C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 0.22/0.48    Following clause subsumed by 508 during input processing: 0 [copy,598,flip.1] {-} c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,A,tc_fun(E,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 0.22/0.48    Following clause subsumed by 511 during input processing: 0 [copy,599,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),D),E))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),hAPP(c_Set_Oimage(A,B,C),D)),hAPP(c_Set_Oimage(A,B,C),E)).
% 0.22/0.48    Following clause subsumed by 658 during input processing: 0 [copy,600,flip.1] {-} hAPP(c_Set_Oimage(A,B,C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),c_fequal(D,B)),E))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),c_fequal(hAPP(A,D),C)),hAPP(c_Set_Oimage(A,B,C),E)).
% 0.22/0.48    Following clause subsumed by 656 during input processing: 0 [copy,653,flip.1] {-} c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),c_fequal(C,B)),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_fequal(C,B),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 0.22/0.48    Following clause subsumed by 655 during input processing: 0 [copy,654,flip.1] {-} c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),c_fequal(C,B)),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,D,tc_fun(B,tc_bool)),c_fequal(C,B),tc_fun(B,tc_bool)).
% 0.22/0.48    Following clause subsumed by 654 during input processing: 0 [copy,655,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_fequal(D,C),tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),c_fequal(D,C)),B),tc_fun(C,tc_bool)).
% 0.22/0.48    Following clause subsumed by 653 during input processing: 0 [copy,656,flip.1] {-} c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_fequal(B,C),tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),c_fequal(B,C)),D),tc_fun(C,tc_bool)).
% 0.22/0.48    Following clause subsumed by 600 during input processing: 0 [copy,658,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fequal(hAPP(B,C),A)),hAPP(c_Set_Oimage(B,D,A),E))=hAPP(c_Set_Oimage(B,D,A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),c_fequal(C,D)),E)).
% 0.22/0.48    Following clause subsumed by 584 during input processing: 0 [copy,662,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_fequal(C,E)),D),B,E,tc_fun(A,tc_bool)).
% 0.22/0.48    Following clause subsumed by 666 during input processing: 0 [copy,688,flip.1] {-} hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_fequal(B,A)),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.22/0.48  
% 0.22/0.48  ======= end of input processing =======
% 0.22/0.50  
% 0.22/0.50  Input error on line 98: clause (0) { p_hBOOL(f_c_in(f_c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__1(v0,v1),f_c_ATP__Linkup_Osko__Finite__Set__Xab__semigroup__mult__class__Xnonempty__iff__1__2(v0,v1),v1)) -> p_eq(v0,f_c_Orderings_Obot__class_Obot(f_tc_fun(v1,c_tc_bool))). }
% 0.22/0.50  
% 0.22/0.50  
% 0.22/0.50  Type mismatch with argument of f_c_in
% 0.22/0.50  
%------------------------------------------------------------------------------