TSTP Solution File: SCT008-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SCT008-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n027.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 22:11:39 EDT 2022

% Result   : Unknown 0.56s 0.76s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SCT008-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n027.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 : Fri Jul  1 22:40:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.40  ----- Otter 3.2, August 2001 -----
% 0.19/0.40  The process was started by sandbox on n027.cluster.edu,
% 0.19/0.40  Fri Jul  1 22:40:08 2022
% 0.19/0.40  The command was "./sos".  The process ID is 683.
% 0.19/0.40  
% 0.19/0.40  set(prolog_style_variables).
% 0.19/0.40  set(auto).
% 0.19/0.40     dependent: set(auto1).
% 0.19/0.40     dependent: set(process_input).
% 0.19/0.40     dependent: clear(print_kept).
% 0.19/0.40     dependent: clear(print_new_demod).
% 0.19/0.40     dependent: clear(print_back_demod).
% 0.19/0.40     dependent: clear(print_back_sub).
% 0.19/0.40     dependent: set(control_memory).
% 0.19/0.40     dependent: assign(max_mem, 12000).
% 0.19/0.40     dependent: assign(pick_given_ratio, 4).
% 0.19/0.40     dependent: assign(stats_level, 1).
% 0.19/0.40     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.40     dependent: assign(sos_limit, 5000).
% 0.19/0.40     dependent: assign(max_weight, 60).
% 0.19/0.40  clear(print_given).
% 0.19/0.40  
% 0.19/0.40  list(usable).
% 0.19/0.40  
% 0.19/0.40  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.19/0.40  
% 0.19/0.40  This ia a non-Horn set with equality.  The strategy will be
% 0.19/0.40  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.40  unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.40  clauses in usable.
% 0.19/0.40  
% 0.19/0.40     dependent: set(knuth_bendix).
% 0.19/0.40     dependent: set(para_from).
% 0.19/0.40     dependent: set(para_into).
% 0.19/0.40     dependent: clear(para_from_right).
% 0.19/0.40     dependent: clear(para_into_right).
% 0.19/0.40     dependent: set(para_from_vars).
% 0.19/0.40     dependent: set(eq_units_both_ways).
% 0.19/0.40     dependent: set(dynamic_demod_all).
% 0.19/0.40     dependent: set(dynamic_demod).
% 0.19/0.40     dependent: set(order_eq).
% 0.19/0.40     dependent: set(back_demod).
% 0.19/0.40     dependent: set(lrpo).
% 0.19/0.40     dependent: set(hyper_res).
% 0.19/0.40     dependent: set(unit_deletion).
% 0.19/0.40     dependent: set(factor).
% 0.19/0.40  
% 0.19/0.40  ------------> process usable:
% 0.19/0.40    Following clause subsumed by 3 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 0.19/0.40    Following clause subsumed by 4 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 0.19/0.40    Following clause subsumed by 11 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_lessequals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 0.19/0.40    Following clause subsumed by 21 during input processing: 0 [] {-} -c_lessequals(A,B,tc_fun(C,tc_bool))|c_lessequals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)).
% 0.19/0.40    Following clause subsumed by 41 during input processing: 0 [] {-} c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))| -c_lessequals(A,B,tc_fun(D,tc_bool)).
% 0.19/0.40    Following clause subsumed by 44 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.19/0.40    Following clause subsumed by 44 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.19/0.40    Following clause subsumed by 56 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.40    Following clause subsumed by 56 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.40    Following clause subsumed by 57 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.19/0.40    Following clause subsumed by 74 during input processing: 0 [] {-} c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lessequals(B,D,tc_fun(C,tc_bool))| -c_lessequals(A,D,tc_fun(C,tc_bool)).
% 0.19/0.40    Following clause subsumed by 75 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.19/0.40    Following clause subsumed by 75 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lessequals(C,D,A)| -c_lessequals(B,D,A).
% 0.19/0.41    Following clause subsumed by 65 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)).
% 0.19/0.41    Following clause subsumed by 65 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)).
% 0.19/0.41    Following clause subsumed by 83 during input processing: 0 [] {-} c_lessequals(A,B,tc_fun(C,tc_bool))| -c_lessequals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),D),A)).
% 0.19/0.41    Following clause subsumed by 86 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 0.19/0.41    Following clause subsumed by 87 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 0.19/0.41    Following clause subsumed by 94 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -c_lessequals(D,C,tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 0.19/0.41    Following clause subsumed by 94 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lessequals(D,C,tc_fun(A,tc_bool)).
% 0.19/0.41    Following clause subsumed by 94 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lessequals(D,C,tc_fun(A,tc_bool)).
% 0.19/0.41    Following clause subsumed by 116 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 0.19/0.41    Following clause subsumed by 117 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 0.19/0.41    Following clause subsumed by 129 during input processing: 0 [] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 0.19/0.41    Following clause subsumed by 169 during input processing: 0 [] {-} c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -c_Equiv__Relations_Oequiv(E,A,C).
% 0.19/0.41    Following clause subsumed by 170 during input processing: 0 [] {-} c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -c_Equiv__Relations_Oequiv(E,A,C)|hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -hBOOL(hAPP(hAPP(c_in(C),D),E))| -hBOOL(hAPP(hAPP(c_in(C),B),E)).
% 0.19/0.41    Following clause subsumed by 169 during input processing: 0 [] {-} c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -hBOOL(hAPP(hAPP(c_in(C),D),E))| -hBOOL(hAPP(hAPP(c_in(C),B),E))| -c_Equiv__Relations_Oequiv(E,A,C).
% 0.19/0.41    Following clause subsumed by 170 during input processing: 0 [] {-} c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(C),D),E))| -hBOOL(hAPP(hAPP(c_in(C),B),E))| -c_Equiv__Relations_Oequiv(E,A,C)|hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A)).
% 0.19/0.41    Following clause subsumed by 207 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 0.19/0.41    Following clause subsumed by 207 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.19/0.41    Following clause subsumed by 207 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.19/0.41    Following clause subsumed by 207 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 0.19/0.41    Following clause subsumed by 210 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 0.19/0.41    Following clause subsumed by 210 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 0.19/0.41    Following clause subsumed by 210 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 0.19/0.41    Following clause subsumed by 220 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))|B=C| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 0.19/0.41    Following clause subsumed by 216 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))|B=C.
% 0.19/0.41    Following clause subsumed by 279 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),c_Transitive__Closure_Ortrancl(C,A)))| -hBOOL(hAPP(hAPP(c_in(A),D),c_Wellfounded_Oacc(C,A))).
% 0.19/0.41    Following clause subsumed by 295 during input processing: 0 [] {-} hAPP(c_Recdef_Ocut(A,B,C,D,E),F)=hAPP(A,F)| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,D)),c_Pair(F,C,D,D)),B)).
% 0.19/0.41    Following clause subsumed by 298 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(E,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,E,A,A)),D))| -c_Relation_Otrans(D,A).
% 0.19/0.41    Following clause subsumed by 299 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),c_Relation_Oconverse(E,B,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(B,A)),c_Pair(D,C,B,A)),E)).
% 0.19/0.41    Following clause subsumed by 223 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D)).
% 0.19/0.41    Following clause subsumed by 308 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,A,C,C)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(A,B,C,C)),D))| -c_Relation_Oantisym(D,C).
% 0.19/0.41    Following clause subsumed by 317 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),D))| -c_Relation_Osym(D,A).
% 0.19/0.41    Following clause subsumed by 321 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),c_Product__Type_OSigma(E,F,A,B)))| -hBOOL(hAPP(hAPP(c_in(B),D),hAPP(F,C)))| -hBOOL(hAPP(hAPP(c_in(A),C),E)).
% 0.19/0.41    Following clause subsumed by 322 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),D),c_Wellfounded_Oacc(C,A))).
% 0.19/0.41    Following clause subsumed by 323 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_OImage(C,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(E,A)),c_Pair(F,B,E,A)),C))| -hBOOL(hAPP(hAPP(c_in(E),F),D)).
% 0.19/0.41    Following clause subsumed by 328 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ORange(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,A)),c_Pair(E,B,D,A)),C)).
% 0.19/0.41    Following clause subsumed by 329 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ODomain(C,A,D)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,D)),c_Pair(B,E,A,D)),C)).
% 0.19/0.41    Following clause subsumed by 333 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_Relation_Orefl__on(D,C,A).
% 0.19/0.41    Following clause subsumed by 145 during input processing: 0 [copy,129,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.19/0.42    Following clause subsumed by 129 during input processing: 0 [copy,145,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.19/0.42  157 back subsumes 97.
% 0.19/0.42  228 back subsumes 40.
% 0.19/0.42  272 back subsumes 270.
% 0.19/0.42  
% 0.19/0.42  ------------> process sos:
% 0.19/0.42    Following clause subsumed by 412 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.19/0.42    Following clause subsumed by 412 during input processing: 0 [] {-} c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 0.19/0.42    Following clause subsumed by 477 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 0.19/0.42    Following clause subsumed by 477 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 0.19/0.42    Following clause subsumed by 477 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A))).
% 0.19/0.42    Following clause subsumed by 549 during input processing: 0 [] {-} hBOOL(c_Record_Oiso__tuple__surjective__proof__assist(A,hAPP(B,A),B,C,D)).
% 0.19/0.42    Following clause subsumed by 567 during input processing: 0 [] {-} hAPP(c_split(A,B,C,D),c_Pair(E,F,B,C))=hAPP(hAPP(A,E),F).
% 0.19/0.42    Following clause subsumed by 596 during input processing: 0 [demod,593] {-} c_Relation_Otrans(c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A),A).
% 0.19/0.42    Following clause subsumed by 543 during input processing: 0 [demod,538] {-} c_Relation_Oantisym(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A).
% 0.19/0.42    Following clause subsumed by 587 during input processing: 0 [demod,538] {-} c_Relation_Orefl__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A).
% 0.19/0.42    Following clause subsumed by 616 during input processing: 0 [demod,614] {-} hAPP(A,hAPP(B,v_x))=hAPP(A,hAPP(B,v_x)).
% 0.19/0.42    Following clause subsumed by 616 during input processing: 0 [demod,635] {-} hAPP(B,hAPP(A,v_x))=hAPP(B,hAPP(A,v_x)).
% 0.19/0.42    Following clause subsumed by 681 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),c_Transitive__Closure_Ortrancl(C,A))).
% 0.19/0.42    Following clause subsumed by 681 during input processing: 0 [demod,593] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A))).
% 0.19/0.42    Following clause subsumed by 681 during input processing: 0 [demod,593] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),c_Transitive__Closure_Ortrancl(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A))).
% 0.19/0.42  442 back subsumes 441.
% 0.19/0.42    Following clause subsumed by 704 during input processing: 0 [copy,462,flip.1] {-} c_Transitive__Closure_Ortrancl(A,B)=c_Transitive__Closure_Ortrancl(A,B).
% 0.19/0.42    Following clause subsumed by 483 during input processing: 0 [copy,483,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 0.19/0.42    Following clause subsumed by 485 during input processing: 0 [copy,484,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 0.19/0.42    Following clause subsumed by 485 during input processing: 0 [copy,485,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.19/0.42  485 back subsumes 484.
% 0.19/0.42    Following clause subsumed by 511 during input processing: 0 [copy,511,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.19/0.42    Following clause subsumed by 559 during input processing: 0 [copy,530,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 0.19/0.43    Following clause subsumed by 533 during input processing: 0 [copy,533,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.19/0.43    Following clause subsumed by 553 during input processing: 0 [copy,553,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 0.19/0.43    Following clause subsumed by 530 during input processing: 0 [copy,559,flip.1] {-} c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.19/0.43    Following clause subsumed by 704 during input processing: 0 [copy,616,flip.1] {-} hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 0.19/0.43    Following clause subsumed by 704 during input processing: 0 [copy,651,flip.1] {-} c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 0.19/0.43    Following clause subsumed by 704 during input processing: 0 [copy,653,flip.1] {-} c_Relation_ORange(A,B,C)=c_Relation_ORange(A,B,C).
% 0.19/0.43    Following clause subsumed by 704 during input processing: 0 [copy,655,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.19/0.43    Following clause subsumed by 704 during input processing: 0 [copy,670,flip.1] {-} v_x=v_x.
% 0.19/0.43    Following clause subsumed by 704 during input processing: 0 [copy,680,flip.1] {-} hAPP(v_c,c_Pair(v_x,v_y,t_a,t_b))=hAPP(v_c,c_Pair(v_x,v_y,t_a,t_b)).
% 0.19/0.43  681 back subsumes 678.
% 0.19/0.43  681 back subsumes 395.
% 0.19/0.43    Following clause subsumed by 704 during input processing: 0 [copy,704,flip.1] {-} A=A.
% 0.19/0.43  704 back subsumes 680.
% 0.19/0.43  704 back subsumes 670.
% 0.19/0.43  704 back subsumes 655.
% 0.19/0.43  704 back subsumes 653.
% 0.19/0.43  704 back subsumes 651.
% 0.19/0.43  704 back subsumes 616.
% 0.19/0.43  704 back subsumes 462.
% 0.19/0.43  704 back subsumes 411.
% 0.19/0.43  704 back subsumes 408.
% 0.19/0.43  704 back subsumes 407.
% 0.19/0.43  704 back subsumes 398.
% 0.19/0.43  704 back subsumes 392.
% 0.19/0.43  704 back subsumes 391.
% 0.19/0.43  704 back subsumes 379.
% 0.19/0.43  704 back subsumes 378.
% 0.19/0.43  704 back subsumes 376.
% 0.19/0.43  704 back subsumes 369.
% 0.19/0.43  704 back subsumes 368.
% 0.19/0.43    Following clause subsumed by 419 during input processing: 0 [copy,705,flip.1] {-} c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),E,C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(A,E,C,D),c_Relation_OImage(B,E,C,D),tc_fun(D,tc_bool)).
% 0.19/0.43    Following clause subsumed by 434 during input processing: 0 [copy,706,flip.1] {-} c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(A,C,D),c_Relation_Oconverse(B,C,D),tc_fun(tc_prod(D,C),tc_bool)).
% 0.19/0.43    Following clause subsumed by 448 during input processing: 0 [copy,707,flip.1] {-} c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(tc_prod(C,D),tc_bool)),E,C,D,F)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,E,C,D,F),c_Relation_Orel__comp(B,E,C,D,F),tc_fun(tc_prod(C,F),tc_bool)).
% 0.19/0.43    Following clause subsumed by 449 during input processing: 0 [copy,708,flip.1] {-} c_Relation_Orel__comp(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(tc_prod(D,E),tc_bool)),F,D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(A,B,F,D,E),c_Relation_Orel__comp(A,C,F,D,E),tc_fun(tc_prod(F,E),tc_bool)).
% 0.19/0.43    Following clause subsumed by 463 during input processing: 0 [copy,709,flip.1] {-} c_Relation_OField(A,B)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(A,B,B),c_Relation_ORange(A,B,B),tc_fun(B,tc_bool)).
% 0.19/0.43  709 back subsumes 471.
% 0.19/0.43    Following clause subsumed by 469 during input processing: 0 [copy,710,flip.1] {-} hAPP(c_FuncSet_Orestrict(A,B,t_a,C),v_x)=c_HOL_OIf(hAPP(hAPP(c_in(t_a),v_x),B),hAPP(A,v_x),c_HOL_Oundefined(C),C).
% 0.19/0.43    Following clause subsumed by 476 during input processing: 0 [copy,711,flip.1] {-} hAPP(c_Lattices_Olower__semilattice__class_Oinf(c_COMBC(c_in(t_a),A,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),B,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(t_a,tc_bool))).
% 0.19/0.43    Following clause subsumed by 480 during input processing: 0 [copy,712,flip.1] {-} c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(tc_prod(C,D),tc_bool)),C,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(A,C,D),c_Relation_Oconverse(B,C,D),tc_fun(tc_prod(D,C),tc_bool)).
% 0.19/0.43    Following clause subsumed by 499 during input processing: 0 [copy,713,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)).
% 0.19/0.43    Following clause subsumed by 524 during input processing: 0 [copy,728,flip.1] {-} c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 0.19/0.43    Following clause subsumed by 526 during input processing: 0 [copy,729,flip.1] {-} c_Relation_OImage(c_Relation_OId__on(A,B),C,B,B)=c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(B,tc_bool)).
% 0.19/0.43    Following clause subsumed by 556 during input processing: 0 [copy,738,flip.1] {-} c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,A,C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,C),tc_bool)).
% 0.19/0.43    Following clause subsumed by 567 during input processing: 0 [copy,739,flip.1] {-} hAPP(c_split(A,B,C,D),c_Pair(E,F,B,C))=hAPP(hAPP(A,E),F).
% 0.19/0.43    Following clause subsumed by 569 during input processing: 0 [copy,740,flip.1] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.19/0.43    Following clause subsumed by 576 during input processing: 0 [copy,741,flip.1] {-} c_Relation_OImage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(A,B,D,E),c_Relation_OImage(A,C,D,E),tc_fun(E,tc_bool)).
% 0.19/0.43    Following clause subsumed by 597 during input processing: 0 [copy,766,flip.1] {-} c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,B),tc_bool)),C,A,B,D)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(A,D),tc_bool)).
% 0.19/0.43    Following clause subsumed by 598 during input processing: 0 [copy,767,flip.1] {-} c_Relation_Orel__comp(A,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(B,C),tc_bool)),D,B,C)=c_Orderings_Obot__class_Obot(tc_fun(tc_prod(D,C),tc_bool)).
% 0.19/0.43    Following clause subsumed by 602 during input processing: 0 [copy,768,flip.1] {-} c_Relation_OImage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.19/0.43    Following clause subsumed by 656 during input processing: 0 [copy,796,flip.1] {-} c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 0.19/0.43    Following clause subsumed by 667 during input processing: 0 [copy,797,flip.1] {-} hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_COMBC(c_in(t_a),A,t_a,tc_fun(t_a,tc_bool),tc_bool),c_COMBC(c_in(t_a),B,t_a,tc_fun(t_a,tc_bool),tc_bool),tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool))).
% 0.19/0.43    Following clause subsumed by 668 during input processing: 0 [copy,798,flip.1] {-} hAPP(c_Recdef_Ocut(A,B,C,t_a,D),v_y)=c_HOL_OIf(hAPP(hAPP(c_in(tc_prod(t_a,t_a)),c_Pair(v_y,C,t_a,t_a)),B),hAPP(A,v_y),c_HOL_Oundefined(D),D).
% 0.19/0.43    Following clause subsumed by 691 during input processing: 0 [copy,799,flip.1] {-} c_Predicate_Oinv__imagep(A,B,v_x,v_y,C,t_a)=hAPP(hAPP(A,hAPP(B,v_x)),hAPP(B,v_y)).
% 0.19/0.43  
% 0.19/0.43  ======= end of input processing =======
% 0.49/0.72  
% 0.49/0.72  
% 0.49/0.72  Failed to model usable list: disabling FINDER
% 0.49/0.72  
% 0.49/0.72  
% 0.49/0.72  
% 0.49/0.72  -------------- Softie stats --------------
% 0.49/0.72  
% 0.49/0.72  UPDATE_STOP: 300
% 0.49/0.72  SFINDER_TIME_LIMIT: 2
% 0.49/0.72  SHORT_CLAUSE_CUTOFF: 4
% 0.49/0.72  number of clauses in intial UL: 321
% 0.49/0.72  number of clauses initially in problem: 616
% 0.49/0.72  percentage of clauses intially in UL: 52
% 0.49/0.72  percentage of distinct symbols occuring in initial UL: 88
% 0.49/0.72  percent of all initial clauses that are short: 99
% 0.49/0.72  absolute distinct symbol count: 93
% 0.49/0.72     distinct predicate count: 25
% 0.49/0.72     distinct function count: 56
% 0.49/0.72     distinct constant count: 12
% 0.49/0.72  
% 0.49/0.72  ---------- no more Softie stats ----------
% 0.49/0.72  
% 0.49/0.72  
% 0.49/0.72  
% 0.49/0.72  =========== start of search ===========
% 0.56/0.75  hAPP(hAPP(c_in(t_a),v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)))=hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x).
% 0.56/0.75  
% 0.56/0.75  ------------- memory usage ------------
% 0.56/0.75  121 mallocs of 32700 bytes each, 3864.0 K.
% 0.56/0.75    type (bytes each)        gets      frees     in use      avail      bytes
% 0.56/0.75  sym_ent ( 304)              252          0        252          0     74.8 K
% 0.56/0.75  term (  32)              145212     129310      15902         74    499.2 K
% 0.56/0.75  rel (  40)               125090     102549      22541         53    882.6 K
% 0.56/0.75  term_ptr (  16)           83859      10198      73661          0   1151.0 K
% 0.56/0.75  formula_ptr_2 (  56)          0          0          0          0      0.0 K
% 0.56/0.75  fpa_head (  24)           10729        945       9784          4    229.4 K
% 0.56/0.75  fpa_tree (  56)            6759       6759          0         33      1.8 K
% 0.56/0.75  context (1288)            10547      10547          0          4      5.0 K
% 0.56/0.75  trail (  24)              95519      95519          0         10      0.2 K
% 0.56/0.75  imd_tree (  32)            1054        226        828          0     25.9 K
% 0.56/0.75  imd_pos (4024)             6521       6521          0         10     39.3 K
% 0.56/0.75  is_tree (  24)            12075       1392      10683          4    250.5 K
% 0.56/0.75  is_pos (2424)            235194     235194          0         22     52.1 K
% 0.56/0.75  fsub_pos (  16)            6505       6505          0          1      0.0 K
% 0.56/0.75  literal (  32)             7089       2712       4377          5    136.9 K
% 0.56/0.75  clause (  88)              2832        852       1980          0    170.2 K
% 0.56/0.75  list ( 272)                  10          3          7          1      2.1 K
% 0.56/0.75  clash_nd (  80)              90         90          0          2      0.2 K
% 0.56/0.75  clause_ptr (  16)          1900        389       1511          2     23.6 K
% 0.56/0.75  int_ptr (  16)            10214       2624       7590          0    118.6 K
% 0.56/0.75  ci_ptr (  24)                 0          0          0          0      0.0 K
% 0.56/0.75  link_node ( 120)              0          0          0          0      0.0 K
% 0.56/0.75  ans_lit_node(  24)            0          0          0          0      0.0 K
% 0.56/0.75  formula_box( 168)             0          0          0          0      0.0 K
% 0.56/0.75  formula(  40)                 0          0          0          0      0.0 K
% 0.56/0.75  formula_ptr(  16)             0          0          0          0      0.0 K
% 0.56/0.75  cl_attribute(  24)            0          0          0          0      0.0 K
% 0.56/0.75  
% 0.56/0.75  ********** is_delete, can't find end.
% 0.56/0.75   time       0.00
% 0.56/0.75  post_process time      0.00
% 0.56/0.75    back demod time      0.00
% 0.56/0.75    back subsume         0.00
% 0.56/0.75    factor time          0.00
% 0.56/0.75  FINDER time            0.00
% 0.56/0.75    unindex time         0.00
% 0.56/0.75  
% 0.56/0.75  Forward subsumption counts, subsumer:number_subsumed.
% 0.56/0.75   1:0     2:0     3:1     4:1     5:0     6:0     7:0     8:0     9:0    10:0   
% 0.56/0.75  11:1    12:0    13:0    14:0    15:0    16:0    17:0    18:0    19:0    20:0   
% 0.56/0.75  21:1    22:0    23:0    24:0    25:0    26:0    27:0    28:0    29:0    30:0   
% 0.56/0.75  31:0    32:0    33:0    34:0    35:0    36:0    37:0    38:0    39:0    40:0   
% 0.56/0.75  41:1    42:0    43:0    44:2    45:0    46:0    47:0    48:0    49:0    50:0   
% 0.56/0.75  51:0    52:0    53:0    54:0    55:0    56:3    57:2    58:0    59:0    60:0   
% 0.56/0.75  61:0    62:0    63:0    64:0    65:2    66:0    67:0    68:0    69:0    70:0   
% 0.56/0.75  71:0    72:0    73:0    74:1    75:2    76:0    77:0    78:0    79:0    80:0   
% 0.56/0.75  81:0    82:0    83:1    84:0    85:0    86:1    87:1    88:0    89:0    90:0   
% 0.56/0.75  91:0    92:0    93:0    94:3    95:0    96:0    97:0    98:0    99:0    
% 0.56/0.75  All others: 320.
% 0.56/0.75  
% 0.56/0.75  ********** ABNORMAL END **********
% 0.56/0.75  
% 0.56/0.75  ********** is_delete, can't find end.
%------------------------------------------------------------------------------