TSTP Solution File: SCT095-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SCT095-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n007.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 22:12:04 EDT 2022

% Result   : Unknown 0.75s 1.00s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SCT095-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12  % Command  : sos-script %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  2 03:54:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.40  ----- Otter 3.2, August 2001 -----
% 0.12/0.40  The process was started by sandbox on n007.cluster.edu,
% 0.12/0.40  Sat Jul  2 03:54:25 2022
% 0.12/0.40  The command was "./sos".  The process ID is 14031.
% 0.12/0.40  
% 0.12/0.40  set(prolog_style_variables).
% 0.12/0.40  set(auto).
% 0.12/0.40     dependent: set(auto1).
% 0.12/0.40     dependent: set(process_input).
% 0.12/0.40     dependent: clear(print_kept).
% 0.12/0.40     dependent: clear(print_new_demod).
% 0.12/0.40     dependent: clear(print_back_demod).
% 0.12/0.40     dependent: clear(print_back_sub).
% 0.12/0.40     dependent: set(control_memory).
% 0.12/0.40     dependent: assign(max_mem, 12000).
% 0.12/0.40     dependent: assign(pick_given_ratio, 4).
% 0.12/0.40     dependent: assign(stats_level, 1).
% 0.12/0.40     dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.40     dependent: assign(sos_limit, 5000).
% 0.12/0.40     dependent: assign(max_weight, 60).
% 0.12/0.40  clear(print_given).
% 0.12/0.40  
% 0.12/0.40  list(usable).
% 0.12/0.40  
% 0.12/0.40  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.12/0.40  
% 0.12/0.40  This ia a non-Horn set with equality.  The strategy will be
% 0.12/0.40  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.40  unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.40  clauses in usable.
% 0.12/0.40  
% 0.12/0.40     dependent: set(knuth_bendix).
% 0.12/0.40     dependent: set(para_from).
% 0.12/0.40     dependent: set(para_into).
% 0.12/0.40     dependent: clear(para_from_right).
% 0.12/0.40     dependent: clear(para_into_right).
% 0.12/0.40     dependent: set(para_from_vars).
% 0.12/0.40     dependent: set(eq_units_both_ways).
% 0.12/0.40     dependent: set(dynamic_demod_all).
% 0.12/0.40     dependent: set(dynamic_demod).
% 0.12/0.40     dependent: set(order_eq).
% 0.12/0.40     dependent: set(back_demod).
% 0.12/0.40     dependent: set(lrpo).
% 0.12/0.40     dependent: set(hyper_res).
% 0.12/0.40     dependent: set(unit_deletion).
% 0.12/0.40     dependent: set(factor).
% 0.12/0.40  
% 0.12/0.40  ------------> process usable:
% 0.12/0.40    Following clause subsumed by 8 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)).
% 0.12/0.40    Following clause subsumed by 9 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).
% 0.12/0.40    Following clause subsumed by 9 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).
% 0.12/0.40    Following clause subsumed by 37 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -hBOOL(c_in(B,A,D))| -c_lessequals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 0.12/0.40    Following clause subsumed by 68 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.12/0.40    Following clause subsumed by 70 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.12/0.40    Following clause subsumed by 70 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.12/0.40    Following clause subsumed by 40 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(c_in(B,A,D)).
% 0.12/0.40    Following clause subsumed by 22 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(c_in(D,A,C)).
% 0.12/0.40    Following clause subsumed by 96 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).
% 0.12/0.40    Following clause subsumed by 97 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).
% 0.12/0.40    Following clause subsumed by 40 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))| -c_lessequals(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 0.12/0.40    Following clause subsumed by 113 during input processing: 0 [] {-} hBOOL(c_in(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),D))| -hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 0.12/0.40    Following clause subsumed by 114 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)).
% 0.12/0.40    Following clause subsumed by 114 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)).
% 0.12/0.40    Following clause subsumed by 114 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)).
% 0.12/0.40    Following clause subsumed by 122 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)).
% 0.12/0.40    Following clause subsumed by 123 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C| -c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 0.12/0.40    Following clause subsumed by 124 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.12/0.40    Following clause subsumed by 124 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lessequals(B,C,A).
% 0.12/0.40    Following clause subsumed by 124 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lessequals(B,C,A).
% 0.12/0.40    Following clause subsumed by 125 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lessequals(B,C,A).
% 0.12/0.40    Following clause subsumed by 137 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lessequals(B,B,A).
% 0.12/0.40    Following clause subsumed by 137 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 0.12/0.40    Following clause subsumed by 139 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.12/0.40    Following clause subsumed by 137 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lessequals(C,B,A).
% 0.12/0.40    Following clause subsumed by 143 during input processing: 0 [] {-} A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.12/0.40    Following clause subsumed by 143 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|A=B| -c_lessequals(A,B,tc_nat).
% 0.12/0.40    Following clause subsumed by 144 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 0.12/0.40    Following clause subsumed by 87 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).
% 0.12/0.40    Following clause subsumed by 87 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).
% 0.12/0.40    Following clause subsumed by 150 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)).
% 0.12/0.40    Following clause subsumed by 159 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).
% 0.12/0.40    Following clause subsumed by 160 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).
% 0.12/0.40    Following clause subsumed by 170 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_lessequals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 0.12/0.40    Following clause subsumed by 287 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(c_in(c_Pair(B,D,C,C),A,tc_prod(C,C)))| -c_Equiv__Relations_Oequiv(E,A,C).
% 0.12/0.41    Following clause subsumed by 302 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(B,C,D),D))| -hBOOL(c_in(A,C,D)).
% 0.12/0.41    Following clause subsumed by 287 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(c_in(c_Pair(B,D,C,C),A,tc_prod(C,C)))| -hBOOL(c_in(D,E,C))| -hBOOL(c_in(B,E,C))| -c_Equiv__Relations_Oequiv(E,A,C).
% 0.12/0.41    Following clause subsumed by 306 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(c_in(c_Pair(B,D,C,C),A,tc_prod(C,C)))| -hBOOL(c_in(D,E,C))| -hBOOL(c_in(B,E,C)).
% 0.12/0.41    Following clause subsumed by 309 during input processing: 0 [] {-} hBOOL(c_in(A,c_Wellfounded_Oacc(B,C),C))| -hBOOL(c_in(D,c_Wellfounded_Oacc(B,C),C))| -hBOOL(c_in(c_Pair(A,D,C,C),c_Transitive__Closure_Ortrancl(B,C),tc_prod(C,C))).
% 0.12/0.41    Following clause subsumed by 315 during input processing: 0 [] {-} hBOOL(c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C)))|A=B| -hBOOL(c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Ortrancl(D,C),tc_prod(C,C))).
% 0.12/0.41    Following clause subsumed by 325 during input processing: 0 [] {-} -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.12/0.41    Following clause subsumed by 325 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 0.12/0.41    Following clause subsumed by 325 during input processing: 0 [] {-} -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 0.12/0.41    Following clause subsumed by 360 during input processing: 0 [] {-} hAPP(c_Recdef_Ocut(A,B,C,D,E),F)=hAPP(A,F)| -hBOOL(c_in(c_Pair(F,C,D,D),B,tc_prod(D,D))).
% 0.12/0.41    Following clause subsumed by 363 during input processing: 0 [] {-} hBOOL(c_in(c_Pair(A,B,C,C),D,tc_prod(C,C)))| -hBOOL(c_in(c_Pair(E,B,C,C),D,tc_prod(C,C)))| -hBOOL(c_in(c_Pair(A,E,C,C),D,tc_prod(C,C)))| -c_Relation_Otrans(D,C).
% 0.12/0.41    Following clause subsumed by 364 during input processing: 0 [] {-} hBOOL(c_in(c_Pair(A,B,C,D),c_Relation_Oconverse(E,D,C),tc_prod(C,D)))| -hBOOL(c_in(c_Pair(B,A,D,C),E,tc_prod(D,C))).
% 0.12/0.41    Following clause subsumed by 311 during input processing: 0 [] {-} hBOOL(c_in(c_Pair(A,B,C,C),c_Transitive__Closure_Otrancl(D,C),tc_prod(C,C)))| -hBOOL(c_in(c_Pair(A,B,C,C),D,tc_prod(C,C))).
% 0.12/0.41    Following clause subsumed by 373 during input processing: 0 [] {-} A=B| -hBOOL(c_in(c_Pair(B,A,C,C),D,tc_prod(C,C)))| -hBOOL(c_in(c_Pair(A,B,C,C),D,tc_prod(C,C)))| -c_Relation_Oantisym(D,C).
% 0.12/0.41    Following clause subsumed by 382 during input processing: 0 [] {-} hBOOL(c_in(c_Pair(A,B,C,C),D,tc_prod(C,C)))| -hBOOL(c_in(c_Pair(B,A,C,C),D,tc_prod(C,C)))| -c_Relation_Osym(D,C).
% 0.12/0.41    Following clause subsumed by 388 during input processing: 0 [] {-} hBOOL(c_in(c_Pair(A,B,C,D),c_Product__Type_OSigma(E,F,C,D),tc_prod(C,D)))| -hBOOL(c_in(B,hAPP(F,A),D))| -hBOOL(c_in(A,E,C)).
% 0.12/0.41    Following clause subsumed by 389 during input processing: 0 [] {-} hBOOL(c_in(A,c_Wellfounded_Oacc(B,C),C))| -hBOOL(c_in(c_Pair(A,D,C,C),B,tc_prod(C,C)))| -hBOOL(c_in(D,c_Wellfounded_Oacc(B,C),C)).
% 0.12/0.41    Following clause subsumed by 390 during input processing: 0 [] {-} hBOOL(c_in(A,c_Relation_OImage(B,C,D,E),E))| -hBOOL(c_in(c_Pair(F,A,D,E),B,tc_prod(D,E)))| -hBOOL(c_in(F,C,D)).
% 0.12/0.41    Following clause subsumed by 395 during input processing: 0 [] {-} hBOOL(c_in(A,c_Relation_ORange(B,C,D),D))| -hBOOL(c_in(c_Pair(E,A,C,D),B,tc_prod(C,D))).
% 0.12/0.41    Following clause subsumed by 396 during input processing: 0 [] {-} hBOOL(c_in(A,c_Relation_ODomain(B,C,D),C))| -hBOOL(c_in(c_Pair(A,E,C,D),B,tc_prod(C,D))).
% 0.12/0.41    Following clause subsumed by 400 during input processing: 0 [] {-} hBOOL(c_in(c_Pair(A,A,B,B),C,tc_prod(B,B)))| -hBOOL(c_in(A,D,B))| -c_Relation_Orefl__on(D,C,B).
% 0.12/0.41    Following clause subsumed by 406 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 0.12/0.41    Following clause subsumed by 415 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 0.12/0.41    Following clause subsumed by 415 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 0.12/0.41    Following clause subsumed by 415 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 0.12/0.41    Following clause subsumed by 421 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 0.12/0.41    Following clause subsumed by 414 during input processing: 0 [factor_simp] {-} -c_HOL_Oord__class_Oless(hAPP(v_h____,v_x),v_n____,tc_nat)| -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))).
% 0.12/0.41    Following clause subsumed by 414 during input processing: 0 [] {-} -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lba____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -c_HOL_Oord__class_Oless(hAPP(v_h____,v_x),v_n____,tc_nat)| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))).
% 0.12/0.41    Following clause subsumed by 436 during input processing: 0 [] {-} -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lba____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|hAPP(v_h____,v_x)=v_n____|c_HOL_Oord__class_Oless(hAPP(v_h____,v_x),v_n____,tc_nat).
% 0.12/0.41    Following clause subsumed by 438 during input processing: 0 [] {-} hAPP(v_h____,v_x)!=v_n____| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(hAPP(v_P____,v_x),v_c____,v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|c_HOL_Oord__class_Oless(hAPP(v_h____,v_x),v_n____,tc_nat)| -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lba____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))).
% 0.12/0.41    Following clause subsumed by 440 during input processing: 0 [] {-} -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lba____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(hAPP(v_P____,v_x),v_c____,v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|c_HOL_Oord__class_Oless(hAPP(v_h____,v_x),v_n____,tc_nat).
% 0.12/0.41    Following clause subsumed by 436 during input processing: 0 [] {-} -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lba____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|c_HOL_Oord__class_Oless(hAPP(v_h____,v_x),v_n____,tc_nat)| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|hAPP(v_h____,v_x)=v_n____| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))).
% 0.12/0.41    Following clause subsumed by 414 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(hAPP(v_h____,v_x),v_n____,tc_nat)| -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|hAPP(v_h____,v_x)=v_n____| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))).
% 0.12/0.41    Following clause subsumed by 414 during input processing: 0 [] {-} -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lba____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|hAPP(v_h____,v_x)=v_n____| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))).
% 0.12/0.41    Following clause subsumed by 438 during input processing: 0 [] {-} hAPP(v_h____,v_x)!=v_n____| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(hAPP(v_P____,v_x),v_c____,v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lba____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|c_HOL_Oord__class_Oless(hAPP(v_h____,v_x),v_n____,tc_nat).
% 0.12/0.41    Following clause subsumed by 414 during input processing: 0 [] {-} hAPP(v_h____,v_x)!=v_n____| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(hAPP(v_P____,v_x),v_c____,v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -c_HOL_Oord__class_Oless(hAPP(v_h____,v_x),v_n____,tc_nat)| -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))).
% 0.12/0.41    Following clause subsumed by 414 during input processing: 0 [] {-} hAPP(v_h____,v_x)!=v_n____| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(hAPP(v_P____,v_x),v_c____,v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lba____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))).
% 0.12/0.41    Following clause subsumed by 440 during input processing: 0 [] {-} -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lba____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|c_HOL_Oord__class_Oless(hAPP(v_h____,v_x),v_n____,tc_nat)| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(hAPP(v_P____,v_x),v_c____,v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))).
% 0.12/0.41    Following clause subsumed by 414 during input processing: 0 [] {-} -c_HOL_Oord__class_Oless(hAPP(v_h____,v_x),v_n____,tc_nat)| -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(hAPP(v_P____,v_x),v_c____,v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))).
% 0.18/0.42    Following clause subsumed by 414 during input processing: 0 [] {-} -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lba____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(hAPP(v_P____,v_x),v_c____,v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))| -hBOOL(c_in(c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(hAPP(v_P____,v_x),v_e____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))).
% 0.18/0.42  40 back subsumes 21.
% 0.18/0.42  139 back subsumes 138.
% 0.18/0.42    Following clause subsumed by 299 during input processing: 0 [copy,293,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.18/0.42    Following clause subsumed by 293 during input processing: 0 [copy,299,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.18/0.42  299 back subsumes 292.
% 0.18/0.42  307 back subsumes 306.
% 0.18/0.42  319 back subsumes 314.
% 0.18/0.42  325 back subsumes 324.
% 0.18/0.42  414 back subsumes 413.
% 0.18/0.42  423 back subsumes 422.
% 0.18/0.42  
% 0.18/0.42  ------------> process sos:
% 0.18/0.42    Following clause subsumed by 538 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)).
% 0.18/0.42    Following clause subsumed by 617 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.18/0.42    Following clause subsumed by 618 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.18/0.42    Following clause subsumed by 665 during input processing: 0 [] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 0.18/0.42    Following clause subsumed by 666 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 0.18/0.42    Following clause subsumed by 666 during input processing: 0 [] {-} hBOOL(c_in(A,c_Set_Oinsert(A,B,C),C)).
% 0.18/0.42    Following clause subsumed by 735 during input processing: 0 [] {-} hBOOL(c_in(c_Pair(A,A,B,B),c_Transitive__Closure_Ortrancl(C,B),tc_prod(B,B))).
% 0.18/0.42    Following clause subsumed by 736 during input processing: 0 [] {-} hBOOL(c_in(c_Pair(A,A,B,B),c_Relation_OId(B),tc_prod(B,B))).
% 0.18/0.42    Following clause subsumed by 740 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(A,B),C))|c_HOL_Oord__class_Oless(B,C,tc_nat)|C=B|c_HOL_Oord__class_Oless(C,B,tc_nat).
% 0.18/0.42    Following clause subsumed by 740 during input processing: 0 [] {-} c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 0.18/0.42    Following clause subsumed by 503 during input processing: 0 [copy,503,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)).
% 0.18/0.42    Following clause subsumed by 517 during input processing: 0 [copy,517,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)).
% 0.18/0.42    Following clause subsumed by 558 during input processing: 0 [copy,558,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)).
% 0.18/0.42    Following clause subsumed by 590 during input processing: 0 [copy,590,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)).
% 0.18/0.42    Following clause subsumed by 773 during input processing: 0 [copy,628,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.18/0.42    Following clause subsumed by 773 during input processing: 0 [copy,651,flip.1] {-} c_Transitive__Closure_Ortrancl(A,B)=c_Transitive__Closure_Ortrancl(A,B).
% 0.18/0.42    Following clause subsumed by 665 during input processing: 0 [copy,665,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.18/0.42  666 back subsumes 661.
% 0.18/0.42    Following clause subsumed by 773 during input processing: 0 [copy,726,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).
% 0.18/0.42    Following clause subsumed by 773 during input processing: 0 [copy,728,flip.1] {-} c_Relation_ORange(A,B,C)=c_Relation_ORange(A,B,C).
% 0.18/0.42  735 back subsumes 667.
% 0.18/0.42  735 back subsumes 488.
% 0.18/0.42  743 back subsumes 495.
% 0.18/0.42    Following clause subsumed by 773 during input processing: 0 [copy,773,flip.1] {-} A=A.
% 0.18/0.42  773 back subsumes 728.
% 0.18/0.42  773 back subsumes 726.
% 0.18/0.42  773 back subsumes 651.
% 0.18/0.42  773 back subsumes 628.
% 0.18/0.42  773 back subsumes 499.
% 0.18/0.42  773 back subsumes 498.
% 0.18/0.42  773 back subsumes 497.
% 0.18/0.42  773 back subsumes 494.
% 0.18/0.42  773 back subsumes 491.
% 0.18/0.42  773 back subsumes 490.
% 0.18/0.42  773 back subsumes 487.
% 0.18/0.42  773 back subsumes 482.
% 0.18/0.42  773 back subsumes 480.
% 0.18/0.42  773 back subsumes 462.
% 0.18/0.42  773 back subsumes 461.
% 0.18/0.42  773 back subsumes 460.
% 0.18/0.42    Following clause subsumed by 509 during input processing: 0 [copy,774,flip.1] {-} c_Relation_OField(c_Set_Oinsert(c_Pair(A,B,C,C),D,tc_prod(C,C)),C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C),c_Relation_OField(D,C),tc_fun(C,tc_bool)).
% 0.18/0.42    Following clause subsumed by 520 during input processing: 0 [copy,777,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)).
% 0.18/0.42    Following clause subsumed by 521 during input processing: 0 [copy,778,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)).
% 0.18/0.42    Following clause subsumed by 537 during input processing: 0 [copy,779,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)).
% 0.18/0.42    Following clause subsumed by 539 during input processing: 0 [copy,780,flip.1] {-} c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,C,tc_fun(D,tc_bool)),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)).
% 0.18/0.42    Following clause subsumed by 540 during input processing: 0 [copy,781,flip.1] {-} c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)),D),tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 0.18/0.42    Following clause subsumed by 555 during input processing: 0 [copy,784,flip.1] {-} c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.18/0.42    Following clause subsumed by 573 during input processing: 0 [copy,787,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)).
% 0.18/0.42    Following clause subsumed by 580 during input processing: 0 [copy,788,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)).
% 0.18/0.42    Following clause subsumed by 581 during input processing: 0 [copy,789,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)).
% 0.18/0.42    Following clause subsumed by 593 during input processing: 0 [copy,790,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)).
% 0.18/0.42    Following clause subsumed by 800 during input processing: 0 [copy,791,flip.1] {-} c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.18/0.42    Following clause subsumed by 791 during input processing: 0 [copy,800,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 0.18/0.42    Following clause subsumed by 616 during input processing: 0 [copy,802,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)).
% 0.18/0.42  802 back subsumes 588.
% 0.18/0.42    Following clause subsumed by 620 during input processing: 0 [copy,803,flip.1] {-} c_HOL_Ominus__class_Ominus(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.18/0.42    Following clause subsumed by 640 during input processing: 0 [copy,806,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)).
% 0.18/0.42    Following clause subsumed by 698 during input processing: 0 [copy,813,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)).
% 0.18/0.42  
% 0.18/0.42  ======= end of input processing =======
% 0.60/0.78  
% 0.60/0.78  
% 0.60/0.78  Failed to model usable list: disabling FINDER
% 0.60/0.78  
% 0.60/0.78  
% 0.60/0.78  
% 0.60/0.78  -------------- Softie stats --------------
% 0.60/0.78  
% 0.60/0.78  UPDATE_STOP: 300
% 0.60/0.78  SFINDER_TIME_LIMIT: 2
% 0.60/0.78  SHORT_CLAUSE_CUTOFF: 4
% 0.60/0.78  number of clauses in intial UL: 404
% 0.60/0.78  number of clauses initially in problem: 692
% 0.60/0.78  percentage of clauses intially in UL: 58
% 0.60/0.78  percentage of distinct symbols occuring in initial UL: 30
% 0.60/0.78  percent of all initial clauses that are short: 100
% 0.60/0.78  absolute distinct symbol count: 366
% 0.60/0.78     distinct predicate count: 44
% 0.60/0.78     distinct function count: 93
% 0.60/0.78     distinct constant count: 229
% 0.60/0.78  
% 0.60/0.78  ---------- no more Softie stats ----------
% 0.60/0.78  
% 0.60/0.78  
% 0.60/0.78  
% 0.60/0.78  =========== start of search ===========
% 0.75/1.00  hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 0.75/1.00  
% 0.75/1.00  ------------- memory usage ------------
% 0.75/1.00  225 mallocs of 32700 bytes each, 7185.1 K.
% 0.75/1.00    type (bytes each)        gets      frees     in use      avail      bytes
% 0.75/1.00  sym_ent ( 304)              291          0        291          0     86.4 K
% 0.75/1.00  term (  32)              239508     213024      26484         41    828.9 K
% 0.75/1.00  rel (  40)               206726     166512      40214         20   1571.6 K
% 0.75/1.00  term_ptr (  16)          164466       9428     155038          0   2422.5 K
% 0.75/1.00  formula_ptr_2 (  56)          0          0          0          0      0.0 K
% 0.75/1.00  fpa_head (  24)           12338        761      11577          7    271.5 K
% 0.75/1.00  fpa_tree (  56)           13633      13633          0         33      1.8 K
% 0.75/1.00  context (1288)            27787      27787          0          5      6.3 K
% 0.75/1.00  trail (  24)             641181     641181          0          8      0.2 K
% 0.75/1.00  imd_tree (  32)            1130        200        930          0     29.1 K
% 0.75/1.00  imd_pos (4024)            14827      14827          0         11     43.2 K
% 0.75/1.00  is_tree (  24)            18664       1244      17420          5    408.4 K
% 0.75/1.00  is_pos (2424)           1096902    1096902          0         20     47.3 K
% 0.75/1.00  fsub_pos (  16)           21527      21527          0          1      0.0 K
% 0.75/1.00  literal (  32)            17774       6002      11772          3    368.0 K
% 0.75/1.00  clause (  88)              6182       1843       4339          0    372.9 K
% 0.75/1.00  list ( 272)                  10          3          7          1      2.1 K
% 0.75/1.00  clash_nd (  80)             372        372          0          2      0.2 K
% 0.75/1.00  clause_ptr (  16)          4178        403       3775          2     59.0 K
% 0.75/1.00  int_ptr (  16)            34110       5834      28276          0    441.8 K
% 0.75/1.00  ci_ptr (  24)                 0          0          0          0      0.0 K
% 0.75/1.00  link_node ( 120)              0          0          0          0      0.0 K
% 0.75/1.00  ans_lit_node(  24)            0          0          0          0      0.0 K
% 0.75/1.00  formula_box( 168)             0          0          0          0      0.0 K
% 0.75/1.00  formula(  40)                 0          0          0          0      0.0 K
% 0.75/1.00  formula_ptr(  16)             0          0          0          0      0.0 K
% 0.75/1.00  cl_attribute(  24)            0          0          0          0      0.0 K
% 0.75/1.00  
% 0.75/1.00  ********** is_delete, can't find end.
% 0.75/1.00  0.00
% 0.75/1.00  post_process time      0.00
% 0.75/1.00    back demod time      0.00
% 0.75/1.00    back subsume         0.00
% 0.75/1.00    factor time          0.00
% 0.75/1.00  FINDER time            0.00
% 0.75/1.00    unindex time         0.00
% 0.75/1.00  
% 0.75/1.00  Forward subsumption counts, subsumer:number_subsumed.
% 0.75/1.00   1:0     2:0     3:3     4:3     5:1     6:0     7:1     8:1     9:2    10:0   
% 0.75/1.00  11:0    12:0    13:0    14:0    15:0    16:0    17:0    18:0    19:0    20:1   
% 0.75/1.00  21:0    22:1    23:0    24:0    25:0    26:0    27:0    28:0    29:0    30:0   
% 0.75/1.00  31:0    32:0    33:0    34:0    35:0    36:0    37:1    38:0    39:0    40:2   
% 0.75/1.00  41:0    42:0    43:0    44:0    45:0    46:0    47:0    48:0    49:0    50:0   
% 0.75/1.00  51:0    52:0    53:0    54:0    55:0    56:0    57:1    58:1    59:0    60:0   
% 0.75/1.00  61:0    62:0    63:0    64:0    65:0    66:0    67:0    68:2    69:1    70:3   
% 0.75/1.00  71:0    72:0    73:0    74:0    75:1    76:0    77:0    78:0    79:0    80:0   
% 0.75/1.00  81:0    82:0    83:0    84:0    85:1    86:1    87:3    88:0    89:0    90:0   
% 0.75/1.00  91:0    92:0    93:0    94:1    95:1    96:2    97:2    98:1    99:1    
% 0.75/1.00  All others: 801.
% 0.75/1.00  
% 0.75/1.00  ********** ABNORMAL END **********
% 0.75/1.00  
% 0.75/1.00  ********** is_delete, can't find end.
%------------------------------------------------------------------------------