TSTP Solution File: SWW471+6 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW471+6 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n029.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 : Thu Jul 21 01:26:56 EDT 2022
% Result : Unknown 0.54s 0.72s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWW471+6 : TPTP v8.1.0. Released v5.3.0.
% 0.13/0.14 % Command : sos-script %s
% 0.13/0.36 % Computer : n029.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.36 % CPULimit : 300
% 0.20/0.36 % WCLimit : 600
% 0.20/0.36 % DateTime : Sun Jun 5 00:24:03 EDT 2022
% 0.20/0.36 % CPUTime :
% 0.37/0.56 ----- Otter 3.2, August 2001 -----
% 0.37/0.56 The process was started by sandbox on n029.cluster.edu,
% 0.37/0.56 Sun Jun 5 00:24:03 2022
% 0.37/0.56 The command was "./sos". The process ID is 21715.
% 0.37/0.56
% 0.37/0.56 set(prolog_style_variables).
% 0.37/0.56 set(auto).
% 0.37/0.56 dependent: set(auto1).
% 0.37/0.56 dependent: set(process_input).
% 0.37/0.56 dependent: clear(print_kept).
% 0.37/0.56 dependent: clear(print_new_demod).
% 0.37/0.56 dependent: clear(print_back_demod).
% 0.37/0.56 dependent: clear(print_back_sub).
% 0.37/0.56 dependent: set(control_memory).
% 0.37/0.56 dependent: assign(max_mem, 12000).
% 0.37/0.56 dependent: assign(pick_given_ratio, 4).
% 0.37/0.56 dependent: assign(stats_level, 1).
% 0.37/0.56 dependent: assign(pick_semantic_ratio, 3).
% 0.37/0.56 dependent: assign(sos_limit, 5000).
% 0.37/0.56 dependent: assign(max_weight, 60).
% 0.37/0.56 clear(print_given).
% 0.37/0.56
% 0.37/0.56 formula_list(usable).
% 0.37/0.56
% 0.37/0.56 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.37/0.56
% 0.37/0.56 This ia a non-Horn set with equality. The strategy will be
% 0.37/0.56 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.37/0.56 unit deletion, with positive clauses in sos and nonpositive
% 0.37/0.56 clauses in usable.
% 0.37/0.56
% 0.37/0.56 dependent: set(knuth_bendix).
% 0.37/0.56 dependent: set(para_from).
% 0.37/0.56 dependent: set(para_into).
% 0.37/0.56 dependent: clear(para_from_right).
% 0.37/0.56 dependent: clear(para_into_right).
% 0.37/0.56 dependent: set(para_from_vars).
% 0.37/0.56 dependent: set(eq_units_both_ways).
% 0.37/0.56 dependent: set(dynamic_demod_all).
% 0.37/0.56 dependent: set(dynamic_demod).
% 0.37/0.56 dependent: set(order_eq).
% 0.37/0.56 dependent: set(back_demod).
% 0.37/0.56 dependent: set(lrpo).
% 0.37/0.56 dependent: set(hyper_res).
% 0.37/0.56 dependent: set(unit_deletion).
% 0.37/0.56 dependent: set(factor).
% 0.37/0.56
% 0.37/0.56 ------------> process usable:
% 0.37/0.56 Following clause subsumed by 31 during input processing: 0 [] {-} -lattice(A)|hAPP(B,A,hAPP(fun(B,A),fun(B,A),hAPP(fun(B,A),fun(fun(B,A),fun(B,A)),semilattice_sup_sup(fun(B,A)),C),D),E)=hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),hAPP(B,A,C,E)),hAPP(B,A,D,E)).
% 0.37/0.56 Following clause subsumed by 33 during input processing: 0 [] {-} -semilattice_sup(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),C)),D)=hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),C),D)).
% 0.37/0.56 Following clause subsumed by 35 during input processing: 0 [] {-} -semilattice_sup(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),C),D))=hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),C),hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),D)).
% 0.37/0.56 Following clause subsumed by 37 during input processing: 0 [] {-} -semilattice_sup(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),C))=hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),C).
% 0.37/0.56 Following clause subsumed by 39 during input processing: 0 [] {-} -semilattice_sup(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),C)=hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),C),B).
% 0.37/0.56 Following clause subsumed by 41 during input processing: 0 [] {-} -semilattice_sup(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),B),B)=ti(A,B).
% 0.37/0.56 Following clause subsumed by 30 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|ti(D,E)!=hAPP(A,D,F,B)|hBOOL(hAPP(fun(D,bool),bool,hAPP(D,fun(fun(D,bool),bool),member(D),E),hAPP(fun(A,bool),fun(D,bool),hAPP(fun(A,D),fun(fun(A,bool),fun(D,bool)),image(A,D),F),C))).
% 0.37/0.56 Following clause subsumed by 30 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(C,bool),fun(A,bool),hAPP(fun(C,A),fun(fun(C,bool),fun(A,bool)),image(C,A),D),E)))| -hBOOL(hAPP(fun(C,bool),bool,hAPP(C,fun(fun(C,bool),bool),member(C),F),E))|ti(A,B)!=hAPP(C,A,D,F).
% 0.37/0.56 Following clause subsumed by 28 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),D),C))).
% 0.37/0.57 Following clause subsumed by 29 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),D))).
% 0.37/0.57 Following clause subsumed by 26 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,B,C))|hBOOL(hAPP(A,bool,hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),D),B),C)).
% 0.37/0.57 Following clause subsumed by 27 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,B,C))|hBOOL(hAPP(A,bool,hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),D),C)).
% 0.37/0.57 Following clause subsumed by 24 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),D)))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.37/0.57 Following clause subsumed by 29 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),D)))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C)).
% 0.37/0.57 Following clause subsumed by 28 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),D)))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.37/0.57 Following clause subsumed by 82 during input processing: 0 [] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),C)!=bot_bot(fun(A,bool)).
% 0.37/0.57 Following clause subsumed by 77 during input processing: 0 [unit_del,84] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),bot_bot(fun(A,bool)))).
% 0.37/0.57 Following clause subsumed by 85 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|ti(fun(A,bool),C)!=bot_bot(fun(A,bool)).
% 0.37/0.57 Following clause subsumed by 77 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),bot_bot(fun(A,bool)))).
% 0.37/0.57 Following clause subsumed by 80 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),C),bot_bot(fun(A,bool)))))|ti(A,B)!=ti(A,C).
% 0.37/0.57 Following clause subsumed by 78 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),C),D)))|ti(A,B)=ti(A,C)|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.37/0.57 Following clause subsumed by 80 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),C),D)))|ti(A,B)!=ti(A,C).
% 0.37/0.57 Following clause subsumed by 79 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),C),D)))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.37/0.57 Following clause subsumed by 89 during input processing: 0 [] {-} hAPP(fun(A,bool),fun(A,bool),collect(A),B)!=bot_bot(fun(A,bool))| -hBOOL(hAPP(A,bool,B,C)).
% 0.37/0.57 Following clause subsumed by 85 during input processing: 0 [] {-} ti(fun(A,bool),B)!=bot_bot(fun(A,bool))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),C),B)).
% 0.39/0.58 Following clause subsumed by 79 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),D),C))).
% 0.39/0.58 Following clause subsumed by 93 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),C),bot_bot(fun(A,bool)))))|ti(A,B)=ti(A,C).
% 0.39/0.58 Following clause subsumed by 77 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),bot_bot(fun(A,bool))))|hBOOL(hAPP(A,bool,C,B)).
% 0.39/0.58 Following clause subsumed by 140 during input processing: 0 [] {-} zero_zero(nat)!=hAPP(nat,nat,suc,A).
% 0.39/0.58 Following clause subsumed by 141 during input processing: 0 [] {-} hAPP(nat,nat,suc,A)!=zero_zero(nat).
% 0.39/0.58 Following clause subsumed by 140 during input processing: 0 [] {-} zero_zero(nat)!=hAPP(nat,nat,suc,A).
% 0.39/0.58 Following clause subsumed by 141 during input processing: 0 [] {-} hAPP(nat,nat,suc,A)!=zero_zero(nat).
% 0.39/0.58 Following clause subsumed by 143 during input processing: 0 [] {-} hAPP(nat,nat,suc,A)!=hAPP(nat,nat,suc,B)|A=B.
% 0.39/0.58 Following clause subsumed by 145 during input processing: 0 [flip.1] {-} hAPP(nat,nat,suc,A)!=A.
% 0.39/0.58 Following clause subsumed by 142 during input processing: 0 [] {-} -bot(A)|hAPP(B,A,bot_bot(fun(B,A)),C)=bot_bot(A).
% 0.39/0.58 Following clause subsumed by 155 during input processing: 0 [] {-} -hBOOL(hAPP(state,bool,hAPP(nat,fun(state,bool),hAPP(state,fun(nat,fun(state,bool)),hAPP(com,fun(state,fun(nat,fun(state,bool))),evaln,A),B),C),D))|hBOOL(hAPP(state,bool,hAPP(state,fun(state,bool),hAPP(com,fun(state,fun(state,bool)),evalc,A),B),D)).
% 0.39/0.58 Following clause subsumed by 156 during input processing: 0 [flip.1] {-} hAPP(pname,com,body,A)!=skip.
% 0.39/0.58 Following clause subsumed by 181 during input processing: 0 [] {-} hAPP(com,com,hAPP(fun(state,bool),fun(com,com),while,A),B)!=skip.
% 0.39/0.58 Following clause subsumed by 185 during input processing: 0 [] {-} hAPP(com,com,hAPP(com,fun(com,com),semi,A),B)!=skip.
% 0.39/0.58 Following clause subsumed by 194 during input processing: 0 [] {-} -finite_finite(A)|hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B)).
% 0.39/0.58 Following clause subsumed by 191 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),C)))| -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),C)).
% 0.39/0.58 Following clause subsumed by 201 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))| -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),C))|hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),C))).
% 0.39/0.58 Following clause subsumed by 237 during input processing: 0 [] {-} -hBOOL(hAPP(fun(fun(A,B),fun(fun(A,bool),B)),bool,hAPP(B,fun(fun(fun(A,B),fun(fun(A,bool),B)),bool),hAPP(fun(B,fun(B,B)),fun(B,fun(fun(fun(A,B),fun(fun(A,bool),B)),bool)),big_comm_monoid_big(B,A),C),D),E))|hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),F))|hAPP(fun(A,bool),B,hAPP(fun(A,B),fun(fun(A,bool),B),E,G),F)=ti(B,D).
% 0.39/0.58 Following clause subsumed by 262 during input processing: 0 [] {-} -lattice(A)| -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))|ti(fun(A,bool),B)=bot_bot(fun(A,bool))| -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),C))|ti(fun(A,bool),C)=bot_bot(fun(A,bool))|hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),C)!=bot_bot(fun(A,bool))|hAPP(fun(A,bool),A,big_lattice_Sup_fin(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),C))=hAPP(A,A,hAPP(A,fun(A,A),semilattice_sup_sup(A),hAPP(fun(A,bool),A,big_lattice_Sup_fin(A),B)),hAPP(fun(A,bool),A,big_lattice_Sup_fin(A),C)).
% 0.39/0.58 Following clause subsumed by 290 during input processing: 0 [] {-} -semilattice_inf(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),B)=ti(A,B).
% 0.39/0.58 Following clause subsumed by 292 during input processing: 0 [] {-} -semilattice_inf(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),C)=hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),C),B).
% 0.39/0.58 Following clause subsumed by 294 during input processing: 0 [] {-} -semilattice_inf(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),C))=hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),C).
% 0.39/0.58 Following clause subsumed by 296 during input processing: 0 [] {-} -semilattice_inf(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),C),D))=hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),C),hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),D)).
% 0.39/0.58 Following clause subsumed by 273 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D)))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C)).
% 0.39/0.58 Following clause subsumed by 274 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D)))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.39/0.58 Following clause subsumed by 272 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D)))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.39/0.58 Following clause subsumed by 298 during input processing: 0 [] {-} -semilattice_inf(A)|hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),C)),D)=hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),B),hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),C),D)).
% 0.39/0.58 Following clause subsumed by 291 during input processing: 0 [] {-} -lattice(A)|hAPP(B,A,hAPP(fun(B,A),fun(B,A),hAPP(fun(B,A),fun(fun(B,A),fun(B,A)),semilattice_inf_inf(fun(B,A)),C),D),E)=hAPP(A,A,hAPP(A,fun(A,A),semilattice_inf_inf(A),hAPP(B,A,C,E)),hAPP(B,A,D,E)).
% 0.39/0.58 Following clause subsumed by 273 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D)))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C)).
% 0.39/0.58 Following clause subsumed by 274 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D)))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.39/0.58 Following clause subsumed by 275 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),C),D))|hBOOL(hAPP(A,bool,B,D)).
% 0.39/0.58 Following clause subsumed by 276 during input processing: 0 [] {-} -hBOOL(hAPP(A,bool,hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),C),D))|hBOOL(hAPP(A,bool,C,D)).
% 0.39/0.58 Following clause subsumed by 273 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),hAPP(fun(A,bool),fun(A,bool),collect(A),D))))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C)).
% 0.39/0.59 Following clause subsumed by 305 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),D)),C)=hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),D),C)).
% 0.39/0.59 Following clause subsumed by 306 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),D))=hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D)).
% 0.39/0.59 Following clause subsumed by 340 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),C),D)))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.39/0.59 Following clause subsumed by 339 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),C),D)))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C)).
% 0.39/0.59 Following clause subsumed by 339 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),C),D)))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C)).
% 0.39/0.59 Following clause subsumed by 340 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),C),D)))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.39/0.59 Following clause subsumed by 341 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),C),D)))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),D)).
% 0.39/0.59 Following clause subsumed by 343 during input processing: 0 [] {-} -minus(A)|hAPP(B,A,hAPP(fun(B,A),fun(B,A),hAPP(fun(B,A),fun(fun(B,A),fun(B,A)),minus_minus(fun(B,A)),C),D),E)=hAPP(A,A,hAPP(A,fun(A,A),minus_minus(A),hAPP(B,A,C,E)),hAPP(B,A,D,E)).
% 0.39/0.59 Following clause subsumed by 344 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),D)),C)=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),D),C).
% 0.39/0.59 Following clause subsumed by 342 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))|hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),C),B)))| -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),C)).
% 0.39/0.59 Following clause subsumed by 387 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))|hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),C),B))|hAPP(fun(A,bool),nat,finite_card(A),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),C),B))=hAPP(nat,nat,suc,hAPP(fun(A,bool),nat,finite_card(A),B)).
% 0.39/0.60 Following clause subsumed by 401 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))| -hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),C),B))|hAPP(fun(A,bool),nat,finite_card(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),B),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),C),bot_bot(fun(A,bool)))))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(A,bool),nat,finite_card(A),B)),one_one(nat)).
% 0.39/0.60 Following clause subsumed by 409 during input processing: 0 [flip.2] {-} -zero_neq_one(A)|zero_zero(A)!=one_one(A).
% 0.39/0.60 Following clause subsumed by 442 during input processing: 0 [] {-} -cancel_semigroup_add(A)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)!=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),D)|ti(A,C)=ti(A,D).
% 0.39/0.60 Following clause subsumed by 444 during input processing: 0 [] {-} -cancel_semigroup_add(A)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)!=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),D),C)|ti(A,B)=ti(A,D).
% 0.39/0.60 Following clause subsumed by 447 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))| -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),C))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(fun(A,bool),nat,finite_card(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),C))),hAPP(fun(A,bool),nat,finite_card(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),C)))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(fun(A,bool),nat,finite_card(A),B)),hAPP(fun(A,bool),nat,finite_card(A),C)).
% 0.39/0.60 Following clause subsumed by 450 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))|hAPP(fun(A,bool),nat,finite_card(A),B)=hAPP(fun(A,bool),nat,hAPP(nat,fun(fun(A,bool),nat),hAPP(fun(A,nat),fun(nat,fun(fun(A,bool),nat)),hAPP(fun(nat,fun(nat,nat)),fun(fun(A,nat),fun(nat,fun(fun(A,bool),nat))),finite_fold_image(nat,A),plus_plus(nat)),hAPP(nat,fun(A,nat),combk(nat,A),one_one(nat))),zero_zero(nat)),B).
% 0.39/0.60 Following clause subsumed by 459 during input processing: 0 [flip.2] {-} -comm_semiring_1(A)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),C)),D)=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),B),hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),C),D)).
% 0.39/0.60 Following clause subsumed by 469 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))| -hBOOL(hAPP(fun(C,bool),bool,finite_finite_1(C),D))|hBOOL(hAPP(fun(sum_sum(A,C),bool),bool,finite_finite_1(sum_sum(A,C)),hAPP(fun(C,bool),fun(sum_sum(A,C),bool),hAPP(fun(A,bool),fun(fun(C,bool),fun(sum_sum(A,C),bool)),sum_Plus(A,C),B),D))).
% 0.39/0.60 Following clause subsumed by 467 during input processing: 0 [] {-} -hBOOL(hAPP(fun(sum_sum(A,B),bool),bool,finite_finite_1(sum_sum(A,B)),hAPP(fun(B,bool),fun(sum_sum(A,B),bool),hAPP(fun(A,bool),fun(fun(B,bool),fun(sum_sum(A,B),bool)),sum_Plus(A,B),C),D)))|hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),C)).
% 0.39/0.60 Following clause subsumed by 468 during input processing: 0 [] {-} -hBOOL(hAPP(fun(sum_sum(A,B),bool),bool,finite_finite_1(sum_sum(A,B)),hAPP(fun(B,bool),fun(sum_sum(A,B),bool),hAPP(fun(A,bool),fun(fun(B,bool),fun(sum_sum(A,B),bool)),sum_Plus(A,B),C),D)))|hBOOL(hAPP(fun(B,bool),bool,finite_finite_1(B),D)).
% 0.39/0.60 Following clause subsumed by 466 during input processing: 0 [] {-} -hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))| -hBOOL(hAPP(fun(C,bool),bool,finite_finite_1(C),D))|hAPP(fun(sum_sum(A,C),bool),nat,finite_card(sum_sum(A,C)),hAPP(fun(C,bool),fun(sum_sum(A,C),bool),hAPP(fun(A,bool),fun(fun(C,bool),fun(sum_sum(A,C),bool)),sum_Plus(A,C),B),D))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(fun(A,bool),nat,finite_card(A),B)),hAPP(fun(C,bool),nat,finite_card(C),D)).
% 0.39/0.60 Following clause subsumed by 488 during input processing: 0 [] {-} -semiri456707255roduct(A)|ti(A,B)=ti(A,C)|ti(A,D)=ti(A,E)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),E))!=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),E)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),D)).
% 0.45/0.63 Following clause subsumed by 489 during input processing: 0 [] {-} -semiri456707255roduct(A)|ti(A,B)!=ti(A,C)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),D)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),E))=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),B),E)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),C),D)).
% 0.45/0.63 Following clause subsumed by 490 during input processing: 0 [] {-} -semiri456707255roduct(A)|ti(A,B)!=ti(A,C)|hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),B)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),E),C))=hAPP(A,A,hAPP(A,fun(A,A),plus_plus(A),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),D),C)),hAPP(A,A,hAPP(A,fun(A,A),times_times(A),E),B)).
% 0.45/0.63 117 back subsumes 111.
% 0.45/0.63 Following clause subsumed by 141 during input processing: 0 [copy,140,flip.1] {-} hAPP(nat,nat,suc,A)!=zero_zero(nat).
% 0.45/0.63 Following clause subsumed by 140 during input processing: 0 [copy,141,flip.1] {-} zero_zero(nat)!=hAPP(nat,nat,suc,A).
% 0.45/0.63 Following clause subsumed by 171 during input processing: 0 [copy,170,flip.1] {-} hAPP(com,com,hAPP(fun(state,bool),fun(com,com),while,A),B)!=hAPP(com,com,hAPP(com,fun(com,com),semi,C),D).
% 0.45/0.63 Following clause subsumed by 170 during input processing: 0 [copy,171,flip.1] {-} hAPP(com,com,hAPP(com,fun(com,com),semi,A),B)!=hAPP(com,com,hAPP(fun(state,bool),fun(com,com),while,C),D).
% 0.45/0.63 Following clause subsumed by 179 during input processing: 0 [copy,178,flip.1] {-} hAPP(com,com,hAPP(fun(state,bool),fun(com,com),while,A),B)!=hAPP(pname,com,body,C).
% 0.45/0.63 Following clause subsumed by 178 during input processing: 0 [copy,179,flip.1] {-} hAPP(pname,com,body,A)!=hAPP(com,com,hAPP(fun(state,bool),fun(com,com),while,B),C).
% 0.45/0.63 Following clause subsumed by 183 during input processing: 0 [copy,182,flip.1] {-} hAPP(com,com,hAPP(com,fun(com,com),semi,A),B)!=hAPP(pname,com,body,C).
% 0.45/0.63 Following clause subsumed by 182 during input processing: 0 [copy,183,flip.1] {-} hAPP(pname,com,body,A)!=hAPP(com,com,hAPP(com,fun(com,com),semi,B),C).
% 0.45/0.63 266 back subsumes 265.
% 0.45/0.63 323 back subsumes 322.
% 0.45/0.63 324 back subsumes 315.
% 0.45/0.63
% 0.45/0.63 ------------> process sos:
% 0.45/0.63 Following clause subsumed by 715 during input processing: 0 [] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),C)=hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),hAPP(fun(A,bool),fun(A,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fdisj),hAPP(A,fun(A,bool),hAPP(fun(A,fun(A,bool)),fun(A,fun(A,bool)),combc(A,A,bool),fequal(A)),B))),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(fun(A,bool),bool)),fun(fun(A,bool),fun(A,bool)),combc(A,fun(A,bool),bool),member(A)),C))).
% 0.45/0.63 Following clause subsumed by 799 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),D)),C)=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),D),C).
% 0.45/0.63 Following clause subsumed by 800 during input processing: 0 [] {-} hBOOL(hAPP(fun(A,bool),bool,hAPP(A,fun(fun(A,bool),bool),member(A),B),C))|hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),D))=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D).
% 0.45/0.63 Following clause subsumed by 863 during input processing: 0 [demod,749] {-} hAPP(fun(A,bool),nat,finite_card(A),B)=bot_bot(nat)|hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B)).
% 0.45/0.63 Following clause subsumed by 863 during input processing: 0 [demod,749] {-} hBOOL(hAPP(fun(A,bool),bool,finite_finite_1(A),B))|hAPP(fun(A,bool),nat,finite_card(A),B)=bot_bot(nat).
% 0.45/0.63 Following clause subsumed by 975 during input processing: 0 [] {-} ti(bool,A)=fTrue|ti(bool,A)=fFalse.
% 0.47/0.68 Following clause subsumed by 684 during input processing: 0 [copy,684,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),D))=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),D)).
% 0.47/0.68 Following clause subsumed by 687 during input processing: 0 [copy,687,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),C)=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),B).
% 0.47/0.68 Following clause subsumed by 719 during input processing: 0 [copy,719,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),C),D))=hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),C),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),D)).
% 0.47/0.68 Following clause subsumed by 984 during input processing: 0 [copy,737,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),C)=hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),C).
% 0.47/0.68 765 back subsumes 540.
% 0.47/0.68 765 back subsumes 539.
% 0.47/0.68 Following clause subsumed by 781 during input processing: 0 [copy,781,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),C)=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),B).
% 0.47/0.68 Following clause subsumed by 784 during input processing: 0 [copy,784,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D))=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),D)).
% 0.47/0.68 Following clause subsumed by 858 during input processing: 0 [copy,858,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),B)),C)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),C)),B).
% 0.47/0.68 Following clause subsumed by 897 during input processing: 0 [copy,897,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),A),B)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),B),A).
% 0.47/0.68 Following clause subsumed by 898 during input processing: 0 [copy,898,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),A),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),B),C))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),B),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),A),C)).
% 0.47/0.68 Following clause subsumed by 984 during input processing: 0 [copy,907,flip.1] {-} hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),A),B))=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),A),B)).
% 0.47/0.68 Following clause subsumed by 984 during input processing: 0 [copy,984,flip.1] {-} A=A.
% 0.47/0.68 984 back subsumes 907.
% 0.47/0.68 984 back subsumes 737.
% 0.47/0.68 984 back subsumes 527.
% 0.47/0.68 Following clause subsumed by 681 during input processing: 0 [copy,985,flip.1] {-} hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),D),E))=hAPP(fun(B,bool),fun(B,bool),hAPP(fun(B,bool),fun(fun(B,bool),fun(B,bool)),semilattice_sup_sup(fun(B,bool)),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),D)),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),E)).
% 0.47/0.68 Following clause subsumed by 688 during input processing: 0 [copy,986,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),C)=hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),hAPP(fun(A,bool),fun(A,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fdisj),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(fun(A,bool),bool)),fun(fun(A,bool),fun(A,bool)),combc(A,fun(A,bool),bool),member(A)),B))),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(fun(A,bool),bool)),fun(fun(A,bool),fun(A,bool)),combc(A,fun(A,bool),bool),member(A)),C))).
% 0.47/0.68 Following clause subsumed by 689 during input processing: 0 [copy,987,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),B)=ti(fun(A,bool),B).
% 0.47/0.68 Following clause subsumed by 690 during input processing: 0 [copy,988,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,A),fun(fun(A,bool),fun(A,bool)),image(A,A),combi(A)),B)=ti(fun(A,bool),B).
% 0.47/0.68 Following clause subsumed by 691 during input processing: 0 [copy,989,flip.1] {-} hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),hAPP(fun(D,bool),fun(A,bool),hAPP(fun(D,A),fun(fun(D,bool),fun(A,bool)),image(D,A),E),F))=hAPP(fun(D,bool),fun(B,bool),hAPP(fun(D,B),fun(fun(D,bool),fun(B,bool)),image(D,B),hAPP(fun(D,A),fun(D,B),hAPP(fun(A,B),fun(fun(D,A),fun(D,B)),combb(A,B,D),C),E)),F).
% 0.47/0.68 Following clause subsumed by 692 during input processing: 0 [copy,990,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),hAPP(fun(A,bool),fun(A,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fdisj),B)),C))=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),collect(A),B)),hAPP(fun(A,bool),fun(A,bool),collect(A),C)).
% 0.47/0.68 Following clause subsumed by 714 during input processing: 0 [copy,996,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),collect(A),B)=ti(fun(A,bool),B).
% 0.47/0.68 Following clause subsumed by 715 during input processing: 0 [copy,997,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),C)=hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),hAPP(fun(A,bool),fun(A,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fdisj),hAPP(A,fun(A,bool),hAPP(fun(A,fun(A,bool)),fun(A,fun(A,bool)),combc(A,A,bool),fequal(A)),B))),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(fun(A,bool),bool)),fun(fun(A,bool),fun(A,bool)),combc(A,fun(A,bool),bool),member(A)),C))).
% 0.47/0.68 Following clause subsumed by 716 during input processing: 0 [copy,998,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),B),hAPP(fun(A,bool),fun(A,bool),collect(A),C))=hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),hAPP(fun(A,bool),fun(A,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fimplies),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(bool,bool),fun(fun(A,bool),fun(A,bool)),combb(bool,bool,A),fNot),hAPP(A,fun(A,bool),hAPP(fun(A,fun(A,bool)),fun(A,fun(A,bool)),combc(A,A,bool),fequal(A)),B)))),C)).
% 0.47/0.68 Following clause subsumed by 726 during input processing: 0 [copy,999,flip.1] {-} hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),D),E))=hAPP(fun(B,bool),fun(B,bool),hAPP(B,fun(fun(B,bool),fun(B,bool)),insert(B),hAPP(A,B,C,D)),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),E)).
% 0.47/0.68 Following clause subsumed by 727 during input processing: 0 [copy,1000,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),C),D))=hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),C),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),D)).
% 0.47/0.68 Following clause subsumed by 730 during input processing: 0 [copy,1001,flip.1] {-} hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),C),bot_bot(fun(A,bool)))=bot_bot(fun(B,bool)).
% 0.47/0.68 Following clause subsumed by 731 during input processing: 0 [copy,1002,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),bot_bot(fun(A,bool))),B)=ti(fun(A,bool),B).
% 0.47/0.68 Following clause subsumed by 732 during input processing: 0 [copy,1003,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),bot_bot(fun(A,bool)))=ti(fun(A,bool),B).
% 0.47/0.68 Following clause subsumed by 746 during input processing: 0 [copy,1008,flip.1] {-} hAPP(fun(A,bool),A,the_elem(A),hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(A,fun(A,bool),fequal(A),B)))=ti(A,B).
% 0.47/0.68 Following clause subsumed by 762 during input processing: 0 [copy,1034,flip.1] {-} hAPP(fun(A,bool),A,the_elem(A),B)=hAPP(fun(A,bool),A,the_1(A),hAPP(fun(A,fun(A,bool)),fun(A,bool),hAPP(fun(fun(A,bool),bool),fun(fun(A,fun(A,bool)),fun(A,bool)),combb(fun(A,bool),bool,A),hAPP(fun(A,bool),fun(fun(A,bool),bool),fequal(fun(A,bool)),B)),hAPP(fun(A,bool),fun(A,fun(A,bool)),hAPP(fun(A,fun(fun(A,bool),fun(A,bool))),fun(fun(A,bool),fun(A,fun(A,bool))),combc(A,fun(A,bool),fun(A,bool)),insert(A)),bot_bot(fun(A,bool))))).
% 0.47/0.68 Following clause subsumed by 767 during input processing: 0 [copy,1035,flip.1] {-} hAPP(fun(A,bool),B,hAPP(B,fun(fun(A,bool),B),hAPP(fun(A,B),fun(B,fun(fun(A,bool),B)),hAPP(fun(B,fun(B,B)),fun(fun(A,B),fun(B,fun(fun(A,bool),B))),finite_fold_image(B,A),C),D),E),bot_bot(fun(A,bool)))=ti(B,E).
% 0.47/0.68 Following clause subsumed by 768 during input processing: 0 [copy,1036,flip.1] {-} hAPP(fun(A,bool),A,the_1(A),hAPP(A,fun(A,bool),fequal(A),B))=ti(A,B).
% 0.47/0.68 Following clause subsumed by 769 during input processing: 0 [copy,1037,flip.1] {-} hAPP(fun(A,bool),A,the_1(A),hAPP(A,fun(A,bool),hAPP(fun(A,fun(A,bool)),fun(A,fun(A,bool)),combc(A,A,bool),fequal(A)),B))=ti(A,B).
% 0.47/0.68 Following clause subsumed by 779 during input processing: 0 [copy,1038,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),B)=ti(fun(A,bool),B).
% 0.47/0.68 Following clause subsumed by 780 during input processing: 0 [copy,1039,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),C)=hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),hAPP(fun(A,bool),fun(A,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fconj),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(fun(A,bool),bool)),fun(fun(A,bool),fun(A,bool)),combc(A,fun(A,bool),bool),member(A)),B))),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(fun(A,bool),bool)),fun(fun(A,bool),fun(A,bool)),combc(A,fun(A,bool),bool),member(A)),C))).
% 0.47/0.68 Following clause subsumed by 787 during input processing: 0 [copy,1040,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),hAPP(fun(A,bool),fun(A,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fconj),B)),C))=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),collect(A),B)),hAPP(fun(A,bool),fun(A,bool),collect(A),C)).
% 0.47/0.68 Following clause subsumed by 791 during input processing: 0 [copy,1041,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),C)),D)=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),D)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),D)).
% 0.47/0.68 Following clause subsumed by 792 during input processing: 0 [copy,1042,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),C)),D)=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),D)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),C),D)).
% 0.47/0.68 Following clause subsumed by 803 during input processing: 0 [copy,1043,flip.1] {-} hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),hAPP(fun(A,B),fun(A,B),hAPP(fun(A,fun(B,B)),fun(fun(A,B),fun(A,B)),combs(A,B,B),hAPP(fun(A,B),fun(A,fun(B,B)),hAPP(fun(A,fun(B,fun(B,B))),fun(fun(A,B),fun(A,fun(B,B))),combs(A,B,fun(B,B)),hAPP(fun(A,bool),fun(A,fun(B,fun(B,B))),hAPP(fun(bool,fun(B,fun(B,B))),fun(fun(A,bool),fun(A,fun(B,fun(B,B)))),combb(bool,fun(B,fun(B,B)),A),if(B)),C)),D)),E)),F)=hAPP(fun(B,bool),fun(B,bool),hAPP(fun(B,bool),fun(fun(B,bool),fun(B,bool)),semilattice_sup_sup(fun(B,bool)),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),D),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),F),hAPP(fun(A,bool),fun(A,bool),collect(A),C)))),hAPP(fun(A,bool),fun(B,bool),hAPP(fun(A,B),fun(fun(A,bool),fun(B,bool)),image(A,B),E),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),F),hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(bool,bool),fun(fun(A,bool),fun(A,bool)),combb(bool,bool,A),fNot),C))))).
% 0.47/0.68 Following clause subsumed by 808 during input processing: 0 [copy,1044,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),B),C)),D)=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),B),D)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),C),D)).
% 0.47/0.68 Following clause subsumed by 811 during input processing: 0 [copy,1045,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),B),C)=hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(bool,bool)),fun(fun(A,bool),fun(A,bool)),combs(A,bool,bool),hAPP(fun(A,bool),fun(A,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(A,bool),fun(A,fun(bool,bool))),combb(bool,fun(bool,bool),A),fconj),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(fun(A,bool),bool)),fun(fun(A,bool),fun(A,bool)),combc(A,fun(A,bool),bool),member(A)),B))),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(bool,bool),fun(fun(A,bool),fun(A,bool)),combb(bool,bool,A),fNot),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,fun(fun(A,bool),bool)),fun(fun(A,bool),fun(A,bool)),combc(A,fun(A,bool),bool),member(A)),C)))).
% 0.47/0.68 Following clause subsumed by 815 during input processing: 0 [copy,1046,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),B),bot_bot(fun(A,bool)))=ti(fun(A,bool),B).
% 0.47/0.68 Following clause subsumed by 836 during input processing: 0 [copy,1048,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),B),hAPP(fun(A,bool),fun(A,bool),hAPP(A,fun(fun(A,bool),fun(A,bool)),insert(A),C),D))=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),B),D)),hAPP(fun(A,bool),fun(A,bool),collect(A),hAPP(A,fun(A,bool),fequal(A),C))).
% 0.47/0.68 Following clause subsumed by 839 during input processing: 0 [copy,1049,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),B),C)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),C))=ti(fun(A,bool),B).
% 0.47/0.68 Following clause subsumed by 840 during input processing: 0 [copy,1050,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_sup_sup(fun(A,bool)),C),D))=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),B),C)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),B),D)).
% 0.47/0.68 Following clause subsumed by 1079 during input processing: 0 [copy,1051,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),hAPP(nat,nat,suc,B))=hAPP(nat,nat,hAPP(fun(nat,nat),fun(nat,nat),hAPP(nat,fun(fun(nat,nat),fun(nat,nat)),nat_case(nat),hAPP(com,nat,com_size,skip)),combi(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),B)).
% 0.47/0.68 Following clause subsumed by 1075 during input processing: 0 [copy,1052,flip.1] {-} hAPP(nat,A,hAPP(fun(nat,A),fun(nat,A),hAPP(A,fun(fun(nat,A),fun(nat,A)),nat_case(A),B),C),hAPP(com,nat,com_size,skip))=ti(A,B).
% 0.47/0.68 Following clause subsumed by 889 during input processing: 0 [copy,1057,flip.1] {-} hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),B)),C)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),B),C)).
% 0.47/0.68 Following clause subsumed by 1052 during input processing: 0 [copy,1075,flip.1] {-} ti(A,B)=hAPP(nat,A,hAPP(fun(nat,A),fun(nat,A),hAPP(A,fun(fun(nat,A),fun(nat,A)),nat_case(A),B),C),hAPP(com,nat,com_size,skip)).
% 0.47/0.68 Following clause subsumed by 1051 during input processing: 0 [copy,1079,flip.1] {-} hAPP(nat,nat,hAPP(fun(nat,nat),fun(nat,nat),hAPP(nat,fun(fun(nat,nat),fun(nat,nat)),nat_case(nat),hAPP(com,nat,com_size,skip)),combi(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),B))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),A),hAPP(nat,nat,suc,B)).
% 0.47/0.68 Following clause subsumed by 925 during input processing: 0 [copy,1088,flip.1] {-} hAPP(com,nat,com_size,hAPP(com,com,hAPP(fun(state,bool),fun(com,com),while,A),B))=hAPP(com,nat,com_size,hAPP(com,com,hAPP(com,fun(com,com),semi,B),skip)).
% 0.47/0.68 Following clause subsumed by 1098 during input processing: 0 [copy,1089,flip.1] {-} hAPP(com,nat,size_size(com),hAPP(com,com,hAPP(fun(state,bool),fun(com,com),while,A),B))=hAPP(nat,nat,suc,hAPP(com,nat,size_size(com),B)).
% 0.47/0.68 Following clause subsumed by 973 during input processing: 0 [copy,1090,flip.1] {-} hAPP(A,A,hAPP(A,fun(A,A),hAPP(bool,fun(A,fun(A,A)),if(A),fTrue),B),C)=ti(A,B).
% 0.47/0.68 Following clause subsumed by 974 during input processing: 0 [copy,1091,flip.1] {-} hAPP(A,A,hAPP(A,fun(A,A),hAPP(bool,fun(A,fun(A,A)),if(A),fFalse),B),C)=ti(A,C).
% 0.47/0.68 Following clause subsumed by 977 during input processing: 0 [copy,1092,flip.1] {-} hAPP(A,B,hAPP(fun(A,C),fun(A,B),hAPP(fun(C,B),fun(fun(A,C),fun(A,B)),combb(C,B,A),D),E),F)=hAPP(C,B,D,hAPP(A,C,E,F)).
% 0.47/0.68 Following clause subsumed by 978 during input processing: 0 [copy,1093,flip.1] {-} hAPP(A,B,hAPP(C,fun(A,B),hAPP(fun(A,fun(C,B)),fun(C,fun(A,B)),combc(A,C,B),D),E),F)=hAPP(C,B,hAPP(A,fun(C,B),D,F),E).
% 0.47/0.68 Following clause subsumed by 979 during input processing: 0 [copy,1094,flip.1] {-} hAPP(A,A,combi(A),B)=ti(A,B).
% 0.47/0.68 Following clause subsumed by 980 during input processing: 0 [copy,1095,flip.1] {-} hAPP(A,B,hAPP(B,fun(A,B),combk(B,A),C),D)=ti(B,C).
% 0.47/0.68 Following clause subsumed by 981 during input processing: 0 [copy,1096,flip.1] {-} hAPP(A,B,hAPP(fun(A,C),fun(A,B),hAPP(fun(A,fun(C,B)),fun(fun(A,C),fun(A,B)),combs(A,C,B),D),E),F)=hAPP(C,B,hAPP(A,fun(C,B),D,F),hAPP(A,C,E,F)).
% 0.47/0.68 Following clause subsumed by 1047 during input processing: 0 [copy,1097,flip.1] {-} hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),B),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),C),D))=hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),semilattice_inf_inf(fun(A,bool)),hAPP(fun(A,bool),fun(A,bool),hAPP(fun(A,bool),fun(fun(A,bool),fun(A,bool)),minus_minus(fun(A,bool)),B),D)),C).
% 0.47/0.68 Following clause subsumed by 1089 during input processing: 0 [copy,1098,flip.1] {-} hAPP(nat,nat,suc,hAPP(com,nat,size_size(com),A))=hAPP(com,nat,size_size(com),hAPP(com,com,hAPP(fun(state,bool),fun(com,com),while,B),A)).
% 0.47/0.68
% 0.47/0.68 ======= end of input processing =======
% 0.47/0.72
% 0.47/0.72 Input error on line 309: clause (0) { p_hBOOL(f_hAPP(f_hoare_1656922687triple(v0),c_bool,f_hAPP(c_nat,f_fun(f_hoare_1656922687triple(v0),c_bool),f_hoare_920331057_valid(v0),f_$f3(v0,v1,v2)),f_$f2(v0,v1,v2))) -> p_hBOOL(f_hAPP(f_fun(f_hoare_1656922687triple(v0),c_bool),c_bool,f_hAPP(f_fun(f_hoare_1656922687triple(v0),c_bool),f_fun(f_fun(f_hoare_1656922687triple(v0),c_bool),c_bool),f_hoare_2027193591valids(v0),v1),v2)). }
% 0.47/0.72
% 0.47/0.72
% 0.47/0.72 ( found where a function symbol was expected
% 0.47/0.72
%------------------------------------------------------------------------------