TSTP Solution File: SWW473+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW473+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n032.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 01:26:58 EDT 2022
% Result : Unknown 0.45s 0.67s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : SWW473+3 : TPTP v8.1.0. Released v5.3.0.
% 0.09/0.10 % Command : sos-script %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Sat Jun 4 11:38:47 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.35/0.52 ----- Otter 3.2, August 2001 -----
% 0.35/0.52 The process was started by sandbox on n032.cluster.edu,
% 0.35/0.52 Sat Jun 4 11:38:47 2022
% 0.35/0.52 The command was "./sos". The process ID is 10584.
% 0.35/0.52
% 0.35/0.52 set(prolog_style_variables).
% 0.35/0.52 set(auto).
% 0.35/0.52 dependent: set(auto1).
% 0.35/0.52 dependent: set(process_input).
% 0.35/0.52 dependent: clear(print_kept).
% 0.35/0.52 dependent: clear(print_new_demod).
% 0.35/0.52 dependent: clear(print_back_demod).
% 0.35/0.52 dependent: clear(print_back_sub).
% 0.35/0.52 dependent: set(control_memory).
% 0.35/0.52 dependent: assign(max_mem, 12000).
% 0.35/0.52 dependent: assign(pick_given_ratio, 4).
% 0.35/0.52 dependent: assign(stats_level, 1).
% 0.35/0.52 dependent: assign(pick_semantic_ratio, 3).
% 0.35/0.52 dependent: assign(sos_limit, 5000).
% 0.35/0.52 dependent: assign(max_weight, 60).
% 0.35/0.52 clear(print_given).
% 0.35/0.52
% 0.35/0.52 formula_list(usable).
% 0.35/0.52
% 0.35/0.52 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=1, max_lits=7.
% 0.35/0.52
% 0.35/0.52 This ia a non-Horn set with equality. The strategy will be
% 0.35/0.52 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.35/0.52 unit deletion, with positive clauses in sos and nonpositive
% 0.35/0.52 clauses in usable.
% 0.35/0.52
% 0.35/0.52 dependent: set(knuth_bendix).
% 0.35/0.52 dependent: set(para_from).
% 0.35/0.52 dependent: set(para_into).
% 0.35/0.52 dependent: clear(para_from_right).
% 0.35/0.52 dependent: clear(para_into_right).
% 0.35/0.52 dependent: set(para_from_vars).
% 0.35/0.52 dependent: set(eq_units_both_ways).
% 0.35/0.52 dependent: set(dynamic_demod_all).
% 0.35/0.52 dependent: set(dynamic_demod).
% 0.35/0.52 dependent: set(order_eq).
% 0.35/0.52 dependent: set(back_demod).
% 0.35/0.52 dependent: set(lrpo).
% 0.35/0.52 dependent: set(hyper_res).
% 0.35/0.52 dependent: set(unit_deletion).
% 0.35/0.52 dependent: set(factor).
% 0.35/0.52
% 0.35/0.52 There is a clause for symmetry of equality, so it is
% 0.35/0.52 assumed that equality is fully axiomatized; therefore,
% 0.35/0.52 paramodulation is disabled.
% 0.35/0.52
% 0.35/0.52 dependent: clear(para_from).
% 0.35/0.52 dependent: clear(para_into).
% 0.35/0.52
% 0.35/0.52 ------------> process usable:
% 0.35/0.52 Following clause subsumed by 146 during input processing: 0 [] {-} -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))|hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,B),A))|hAPP_f521865025ol_nat(finite1876863882t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,B),A))=hAPP_nat_nat(suc,hAPP_f521865025ol_nat(finite1876863882t_bool,A)).
% 0.35/0.52 Following clause subsumed by 148 during input processing: 0 [] {-} -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,B),A))|hAPP_f696928925ol_nat(finite346522414t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,B),A))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,A)).
% 0.35/0.52 Following clause subsumed by 150 during input processing: 0 [] {-} -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))|hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,B),A))|hAPP_f55526627ol_nat(finite1340463720e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,B),A))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,A)).
% 0.35/0.52 Following clause subsumed by 152 during input processing: 0 [] {-} -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))|hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,B),A))|hAPP_f2009550088ol_nat(finite1306199131a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,B),A))=hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,A)).
% 0.35/0.52 Following clause subsumed by 154 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B),A))|hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),A))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,A)).
% 0.35/0.52 Following clause subsumed by 156 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B),A))|hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),A))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,A)).
% 0.35/0.53 Following clause subsumed by 158 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),A))|hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),A))=hAPP_nat_nat(suc,hAPP_f957591787ol_nat(finite_card_int,A)).
% 0.35/0.53 Following clause subsumed by 160 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B),A))|hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),A))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A)).
% 0.35/0.53 Following clause subsumed by 178 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=hAPP_nat_nat(suc,B)|A=B.
% 0.35/0.53 Following clause subsumed by 180 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=A.
% 0.35/0.53 Following clause subsumed by 90 during input processing: 0 [] {-} hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,hAPP_f1948010709l_bool(hAPP_f587666462l_bool(insert_fun_int_bool,A),B)))| -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)).
% 0.35/0.53 Following clause subsumed by 91 during input processing: 0 [] {-} hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f1246832597l_bool(hAPP_f633452666l_bool(insert_fun_nat_bool,A),B)))| -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)).
% 0.35/0.53 Following clause subsumed by 92 during input processing: 0 [] {-} hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,hAPP_f559147733l_bool(hAPP_f1320879424l_bool(insert1325755072e_bool,A),B)))| -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)).
% 0.35/0.53 Following clause subsumed by 93 during input processing: 0 [] {-} hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,hAPP_f2117159681l_bool(hAPP_f1531278575l_bool(insert_fun_a_bool,A),B)))| -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)).
% 0.35/0.53 Following clause subsumed by 94 during input processing: 0 [] {-} hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 0.35/0.53 Following clause subsumed by 95 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A),B)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 0.35/0.53 Following clause subsumed by 96 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A),B)))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 0.35/0.53 Following clause subsumed by 97 during input processing: 0 [] {-} hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A),B)))| -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 0.35/0.53 Following clause subsumed by 216 during input processing: 0 [] {-} -hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,A))| -hBOOL(hAPP_f215623910l_bool(hAPP_f317860125l_bool(ord_le1848167016l_bool,B),A))|hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,B)).
% 0.35/0.53 Following clause subsumed by 217 during input processing: 0 [] {-} -hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,A))| -hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,B),A))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,B)).
% 0.35/0.53 Following clause subsumed by 218 during input processing: 0 [] {-} -hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,A))| -hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,B),A))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,B)).
% 0.35/0.53 Following clause subsumed by 219 during input processing: 0 [] {-} -hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,A))| -hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,B),A))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,B)).
% 0.35/0.53 Following clause subsumed by 220 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B)).
% 0.35/0.53 Following clause subsumed by 221 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 0.35/0.53 Following clause subsumed by 222 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 0.35/0.53 Following clause subsumed by 223 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 0.35/0.53 Following clause subsumed by 225 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(suc,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A=hAPP_nat_nat(suc,B).
% 0.35/0.53 Following clause subsumed by 226 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(suc,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.35/0.53 Following clause subsumed by 183 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(suc,B)))|A!=hAPP_nat_nat(suc,B).
% 0.35/0.53 Following clause subsumed by 514 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)).
% 0.35/0.53 Following clause subsumed by 515 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)).
% 0.35/0.53 Following clause subsumed by 183 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.35/0.53 Following clause subsumed by 181 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A)).
% 0.35/0.53 Following clause subsumed by 516 during input processing: 0 [] {-} -is_fun_a_bool(A)| -is_fun_a_bool(B)|A=B| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)).
% 0.35/0.53 Following clause subsumed by 537 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 0.35/0.53 Following clause subsumed by 539 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 0.35/0.53 Following clause subsumed by 541 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.35/0.53 Following clause subsumed by 183 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.35/0.53 Following clause subsumed by 514 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))|B=A.
% 0.35/0.53 Following clause subsumed by 537 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))|B!=A.
% 0.35/0.53 Following clause subsumed by 515 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))|B=A.
% 0.35/0.53 Following clause subsumed by 539 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))|B!=A.
% 0.35/0.53 Following clause subsumed by 543 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A))|B=A.
% 0.35/0.53 Following clause subsumed by 541 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A))|B!=A.
% 0.35/0.53 Following clause subsumed by 181 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A))|B=A.
% 0.35/0.53 Following clause subsumed by 183 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A))|B!=A.
% 0.35/0.53 Following clause subsumed by 516 during input processing: 0 [] {-} -is_fun_a_bool(A)| -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))|B=A.
% 0.35/0.53 Following clause subsumed by 545 during input processing: 0 [] {-} -is_fun_a_bool(A)| -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))|B!=A.
% 0.35/0.53 Following clause subsumed by 514 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))|A=B.
% 0.35/0.53 Following clause subsumed by 515 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))|A=B.
% 0.35/0.53 Following clause subsumed by 543 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A))|A=B.
% 0.35/0.53 Following clause subsumed by 181 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A))|A=B.
% 0.35/0.53 Following clause subsumed by 516 during input processing: 0 [] {-} -is_fun_a_bool(A)| -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))|A=B.
% 0.35/0.53 Following clause subsumed by 182 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.35/0.53 Following clause subsumed by 514 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A))|B=A.
% 0.35/0.53 Following clause subsumed by 515 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A))|B=A.
% 0.35/0.53 Following clause subsumed by 543 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A))|B=A.
% 0.35/0.53 Following clause subsumed by 181 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A))|B=A.
% 0.35/0.53 Following clause subsumed by 516 during input processing: 0 [] {-} -is_fun_a_bool(A)| -is_fun_a_bool(B)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A))|B=A.
% 0.35/0.53 Following clause subsumed by 568 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C),A))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C),B)).
% 0.35/0.53 Following clause subsumed by 569 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C),A))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C),B)).
% 0.35/0.53 Following clause subsumed by 570 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C),B)).
% 0.35/0.53 Following clause subsumed by 182 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),B)).
% 0.35/0.53 Following clause subsumed by 571 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,C),B)).
% 0.35/0.53 Following clause subsumed by 529 during input processing: 0 [] {-} -is_a(A)| -is_a(B)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),C)))|A=B|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),C)).
% 0.35/0.53 Following clause subsumed by 522 during input processing: 0 [] {-} -is_a(A)| -is_a(B)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),C)))|A!=B.
% 0.35/0.53 Following clause subsumed by 521 during input processing: 0 [] {-} -is_a(A)| -is_a(B)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),C)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),C)).
% 0.35/0.53 Following clause subsumed by 530 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),C)))|A=B|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),C)).
% 0.35/0.53 Following clause subsumed by 524 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),C)))|A!=B.
% 0.35/0.53 Following clause subsumed by 523 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),C)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),C)).
% 0.35/0.53 Following clause subsumed by 531 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),C)))|A=B|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),C)).
% 0.35/0.53 Following clause subsumed by 526 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),C)))|A!=B.
% 0.35/0.53 Following clause subsumed by 525 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),C)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),C)).
% 0.35/0.53 Following clause subsumed by 532 during input processing: 0 [] {-} -is_pname(A)| -is_pname(B)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),C)))|A=B|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),C)).
% 0.35/0.53 Following clause subsumed by 528 during input processing: 0 [] {-} -is_pname(A)| -is_pname(B)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),C)))|A!=B.
% 0.35/0.53 Following clause subsumed by 527 during input processing: 0 [] {-} -is_pname(A)| -is_pname(B)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),C)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),C)).
% 0.35/0.53 Following clause subsumed by 521 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),B))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,C),B))).
% 0.35/0.53 Following clause subsumed by 523 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,C),B))).
% 0.35/0.53 Following clause subsumed by 525 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,C),B))).
% 0.35/0.53 Following clause subsumed by 527 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),B))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,C),B))).
% 0.35/0.53 Following clause subsumed by 537 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 0.35/0.53 Following clause subsumed by 538 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)).
% 0.35/0.53 Following clause subsumed by 514 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)).
% 0.35/0.53 Following clause subsumed by 539 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 0.35/0.53 Following clause subsumed by 540 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)).
% 0.35/0.53 Following clause subsumed by 515 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)).
% 0.35/0.53 Following clause subsumed by 545 during input processing: 0 [] {-} -is_fun_a_bool(A)| -is_fun_a_bool(B)|A!=B|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 0.35/0.53 Following clause subsumed by 546 during input processing: 0 [] {-} -is_fun_a_bool(A)| -is_fun_a_bool(B)|A!=B|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)).
% 0.35/0.53 Following clause subsumed by 516 during input processing: 0 [] {-} -is_fun_a_bool(A)| -is_fun_a_bool(B)|A=B| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)).
% 0.35/0.53 Following clause subsumed by 537 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 0.35/0.53 Following clause subsumed by 539 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 0.35/0.53 Following clause subsumed by 547 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 0.35/0.53 Following clause subsumed by 538 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)).
% 0.35/0.53 Following clause subsumed by 540 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)).
% 0.35/0.53 Following clause subsumed by 517 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C),B)).
% 0.35/0.53 Following clause subsumed by 518 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C),B)).
% 0.35/0.53 Following clause subsumed by 519 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C),B)).
% 0.35/0.53 Following clause subsumed by 520 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),B)).
% 0.35/0.53 Following clause subsumed by 517 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),C))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),C)).
% 0.35/0.53 Following clause subsumed by 518 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),C))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),C)).
% 0.35/0.53 Following clause subsumed by 519 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),C))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),C)).
% 0.35/0.53 Following clause subsumed by 520 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,B),C))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),C)).
% 0.35/0.53 Following clause subsumed by 517 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C),A))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C),B)).
% 0.35/0.53 Following clause subsumed by 518 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C),A))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,C),B)).
% 0.35/0.53 Following clause subsumed by 519 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C),B)).
% 0.35/0.53 Following clause subsumed by 520 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),B))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,C),B)).
% 0.35/0.53 Following clause subsumed by 568 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),C))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),C)).
% 0.35/0.53 Following clause subsumed by 569 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),C))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),C)).
% 0.35/0.53 Following clause subsumed by 571 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),C))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),C)).
% 0.35/0.53 Following clause subsumed by 537 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B)).
% 0.35/0.53 Following clause subsumed by 538 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B),A)).
% 0.35/0.53 Following clause subsumed by 539 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B)).
% 0.35/0.53 Following clause subsumed by 540 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B),A)).
% 0.35/0.53 Following clause subsumed by 547 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)).
% 0.35/0.53 Following clause subsumed by 595 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,B),A)).
% 0.35/0.53 Following clause subsumed by 512 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),image_nat_int(B,C)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,D),C))|A!=hAPP_nat_int(B,D).
% 0.35/0.53 Following clause subsumed by 513 during input processing: 0 [] {-} -is_a(A)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),image_pname_a(B,C)))| -is_pname(D)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,D),C))|A!=hAPP_pname_a(B,D).
% 0.35/0.53 Following clause subsumed by 512 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B))|C!=hAPP_nat_int(D,A)|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C),image_nat_int(D,B))).
% 0.35/0.53 Following clause subsumed by 513 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),B))|C!=hAPP_pname_a(D,A)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,C),image_pname_a(D,B))).
% 0.35/0.53 Following clause subsumed by 605 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_int_bool(A,C)),hAPP_int_bool(B,C))).
% 0.35/0.53 Following clause subsumed by 607 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(A,C)),hAPP_nat_bool(B,C))).
% 0.35/0.53 Following clause subsumed by 605 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_int_bool(A,C)),hAPP_int_bool(B,C))).
% 0.35/0.53 Following clause subsumed by 607 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(A,C)),hAPP_nat_bool(B,C))).
% 0.35/0.53 Following clause subsumed by 611 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B))|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(A,C)),hAPP_a_bool(B,C))).
% 0.35/0.53 Following clause subsumed by 676 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),bot_bot_fun_int_bool)).
% 0.35/0.53 Following clause subsumed by 677 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),bot_bot_fun_nat_bool)).
% 0.35/0.53 Following clause subsumed by 678 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),bot_bot_fun_a_bool)).
% 0.35/0.53 Following clause subsumed by 679 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),bot_bo844097828e_bool)).
% 0.35/0.53 Following clause subsumed by 687 during input processing: 0 [flip.1] {-} collect_int(A)!=bot_bot_fun_int_bool| -hBOOL(hAPP_int_bool(A,B)).
% 0.35/0.53 Following clause subsumed by 688 during input processing: 0 [flip.1] {-} collect_nat(A)!=bot_bot_fun_nat_bool| -hBOOL(hAPP_nat_bool(A,B)).
% 0.35/0.53 Following clause subsumed by 689 during input processing: 0 [flip.1] {-} collect_a(A)!=bot_bot_fun_a_bool| -is_a(B)| -hBOOL(hAPP_a_bool(A,B)).
% 0.35/0.53 Following clause subsumed by 683 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),B))|B!=bot_bot_fun_int_bool.
% 0.35/0.53 Following clause subsumed by 684 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B))|B!=bot_bot_fun_nat_bool.
% 0.35/0.53 Following clause subsumed by 685 during input processing: 0 [] {-} -is_fun_a_bool(A)| -is_a(B)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B),A))|A!=bot_bot_fun_a_bool.
% 0.35/0.53 Following clause subsumed by 686 during input processing: 0 [] {-} -is_fun_pname_bool(A)| -is_pname(B)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B),A))|A!=bot_bo844097828e_bool.
% 0.35/0.53 Following clause subsumed by 683 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),B))|B!=bot_bot_fun_int_bool.
% 0.35/0.53 Following clause subsumed by 684 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B))|B!=bot_bot_fun_nat_bool.
% 0.35/0.53 Following clause subsumed by 685 during input processing: 0 [] {-} -is_fun_a_bool(A)| -is_a(B)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B),A))|A!=bot_bot_fun_a_bool.
% 0.35/0.53 Following clause subsumed by 686 during input processing: 0 [] {-} -is_fun_pname_bool(A)| -is_pname(B)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B),A))|A!=bot_bo844097828e_bool.
% 0.35/0.53 Following clause subsumed by 699 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,A))|hBOOL(bot_bot_bool).
% 0.35/0.53 Following clause subsumed by 700 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,A))| -hBOOL(bot_bot_bool).
% 0.35/0.53 Following clause subsumed by 701 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,A))|hBOOL(bot_bot_bool).
% 0.35/0.53 Following clause subsumed by 702 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,A))| -hBOOL(bot_bot_bool).
% 0.35/0.53 Following clause subsumed by 703 during input processing: 0 [] {-} -hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,A))|hBOOL(bot_bot_bool).
% 0.35/0.53 Following clause subsumed by 704 during input processing: 0 [] {-} hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,A))| -hBOOL(bot_bot_bool).
% 0.35/0.53 Following clause subsumed by 624 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B),A))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),C)).
% 0.35/0.53 Following clause subsumed by 625 during input processing: 0 [] {-} hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B),A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),C)).
% 0.35/0.53 Following clause subsumed by 711 during input processing: 0 [] {-} hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),C)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),bot_bot_fun_a_bool))),C))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B),A)).
% 0.35/0.54 Following clause subsumed by 632 during input processing: 0 [] {-} hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),C)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),bot_bot_fun_a_bool))),C))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),C)).
% 0.35/0.54 Following clause subsumed by 626 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),C)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),A))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),C)).
% 0.35/0.54 Following clause subsumed by 627 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),C)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),A))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),C)).
% 0.35/0.54 Following clause subsumed by 712 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),C)))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),bot_bot_fun_int_bool))),C))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),A)).
% 0.35/0.54 Following clause subsumed by 633 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),C)))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),bot_bot_fun_int_bool))),C))| -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),C)).
% 0.35/0.54 Following clause subsumed by 628 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),C)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B),A))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),C)).
% 0.35/0.54 Following clause subsumed by 629 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),C)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B),A))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),C)).
% 0.35/0.54 Following clause subsumed by 713 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),C)))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),bot_bot_fun_nat_bool))),C))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B),A)).
% 0.35/0.54 Following clause subsumed by 634 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),C)))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),bot_bot_fun_nat_bool))),C))| -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),C)).
% 0.35/0.54 Following clause subsumed by 630 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),C)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B),A))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),C)).
% 0.35/0.54 Following clause subsumed by 631 during input processing: 0 [] {-} hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),C)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B),A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),C)).
% 0.35/0.54 Following clause subsumed by 714 during input processing: 0 [] {-} hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),C)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),bot_bo844097828e_bool))),C))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B),A)).
% 0.35/0.54 Following clause subsumed by 680 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,B),A)))| -hBOOL(hAPP_f448129468l_bool(finite_finite_int,B)).
% 0.35/0.54 Following clause subsumed by 681 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),A)))| -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,B)).
% 0.35/0.54 Following clause subsumed by 682 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,B),A)))| -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,B)).
% 0.35/0.54 Following clause subsumed by 723 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),B))|hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A),C)),B)=hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,C),B).
% 0.35/0.54 Following clause subsumed by 724 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),B))|hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A),C)),B)=hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,C),B).
% 0.35/0.54 Following clause subsumed by 725 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B))|hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A),C)),B)=hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,C),B).
% 0.35/0.54 Following clause subsumed by 726 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),B))|hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),C)),B)=hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,C),B).
% 0.35/0.54 Following clause subsumed by 736 during input processing: 0 [] {-} -is_a(A)| -is_a(B)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),bot_bot_fun_a_bool)))|A=B.
% 0.35/0.54 Following clause subsumed by 522 during input processing: 0 [] {-} -is_a(A)| -is_a(B)|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),bot_bot_fun_a_bool)))|A!=B.
% 0.35/0.54 Following clause subsumed by 737 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),bot_bot_fun_int_bool)))|A=B.
% 0.35/0.54 Following clause subsumed by 524 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),bot_bot_fun_int_bool)))|A!=B.
% 0.35/0.54 Following clause subsumed by 738 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),bot_bot_fun_nat_bool)))|A=B.
% 0.35/0.54 Following clause subsumed by 526 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),bot_bot_fun_nat_bool)))|A!=B.
% 0.35/0.54 Following clause subsumed by 739 during input processing: 0 [] {-} -is_pname(A)| -is_pname(B)| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),bot_bo844097828e_bool)))|A=B.
% 0.35/0.54 Following clause subsumed by 528 during input processing: 0 [] {-} -is_pname(A)| -is_pname(B)|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),bot_bo844097828e_bool)))|A!=B.
% 0.35/0.54 Following clause subsumed by 758 during input processing: 0 [flip.1] {-} hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A),B)!=bot_bot_fun_a_bool.
% 0.35/0.54 Following clause subsumed by 759 during input processing: 0 [flip.1] {-} hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A),B)!=bot_bot_fun_nat_bool.
% 0.35/0.54 Following clause subsumed by 760 during input processing: 0 [flip.1] {-} hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A),B)!=bot_bot_fun_int_bool.
% 0.35/0.54 Following clause subsumed by 539 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),bot_bot_fun_nat_bool))|A!=bot_bot_fun_nat_bool.
% 0.35/0.54 Following clause subsumed by 537 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),bot_bot_fun_int_bool))|A!=bot_bot_fun_int_bool.
% 0.35/0.54 Following clause subsumed by 547 during input processing: 0 [] {-} -is_fun_a_bool(A)|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),bot_bot_fun_a_bool))|A!=bot_bot_fun_a_bool.
% 0.35/0.54 Following clause subsumed by 764 during input processing: 0 [flip.1] {-} image_nat_int(A,B)!=bot_bot_fun_int_bool|B=bot_bot_fun_nat_bool.
% 0.35/0.54 Following clause subsumed by 765 during input processing: 0 [flip.1] {-} image_nat_int(A,B)=bot_bot_fun_int_bool|B!=bot_bot_fun_nat_bool.
% 0.35/0.54 Following clause subsumed by 766 during input processing: 0 [flip.2] {-} -is_fun_pname_bool(A)|image_pname_a(B,A)!=bot_bot_fun_a_bool|A=bot_bo844097828e_bool.
% 0.35/0.54 Following clause subsumed by 767 during input processing: 0 [flip.2] {-} -is_fun_pname_bool(A)|image_pname_a(B,A)=bot_bot_fun_a_bool|A!=bot_bo844097828e_bool.
% 0.35/0.54 Following clause subsumed by 761 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),bot_bot_fun_nat_bool))|A=bot_bot_fun_nat_bool.
% 0.35/0.54 Following clause subsumed by 762 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),bot_bot_fun_int_bool))|A=bot_bot_fun_int_bool.
% 0.35/0.54 Following clause subsumed by 763 during input processing: 0 [] {-} -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),bot_bot_fun_a_bool))|A=bot_bot_fun_a_bool.
% 0.35/0.54 Following clause subsumed by 761 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),bot_bot_fun_nat_bool))|A=bot_bot_fun_nat_bool.
% 0.35/0.54 Following clause subsumed by 539 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),bot_bot_fun_nat_bool))|A!=bot_bot_fun_nat_bool.
% 0.35/0.54 Following clause subsumed by 762 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),bot_bot_fun_int_bool))|A=bot_bot_fun_int_bool.
% 0.35/0.54 Following clause subsumed by 537 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),bot_bot_fun_int_bool))|A!=bot_bot_fun_int_bool.
% 0.35/0.54 Following clause subsumed by 768 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),bot_bot_nat))|A=bot_bot_nat.
% 0.35/0.54 Following clause subsumed by 183 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),bot_bot_nat))|A!=bot_bot_nat.
% 0.35/0.54 Following clause subsumed by 763 during input processing: 0 [] {-} -is_fun_a_bool(A)| -hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),bot_bot_fun_a_bool))|A=bot_bot_fun_a_bool.
% 0.35/0.54 Following clause subsumed by 547 during input processing: 0 [] {-} -is_fun_a_bool(A)|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),bot_bot_fun_a_bool))|A!=bot_bot_fun_a_bool.
% 0.35/0.54 Following clause subsumed by 765 during input processing: 0 [] {-} A!=bot_bot_fun_nat_bool|image_nat_int(cOMBK_int_nat(B),A)=bot_bot_fun_int_bool.
% 0.35/0.54 Following clause subsumed by 767 during input processing: 0 [] {-} -is_fun_pname_bool(A)|A!=bot_bo844097828e_bool|image_pname_a(cOMBK_a_pname(B),A)=bot_bot_fun_a_bool.
% 0.35/0.54 Following clause subsumed by 930 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,B),C)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),C)).
% 0.35/0.54 Following clause subsumed by 932 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),C)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),C)).
% 0.35/0.54 Following clause subsumed by 934 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,B),C)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),C)).
% 0.35/0.54 Following clause subsumed by 936 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,B),C)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),C)).
% 0.35/0.54 Following clause subsumed by 929 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,B),C)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),B)).
% 0.35/0.54 Following clause subsumed by 931 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),C)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B)).
% 0.35/0.54 Following clause subsumed by 933 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,B),C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),B)).
% 0.35/0.54 Following clause subsumed by 935 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,B),C)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),B)).
% 0.35/0.54 Following clause subsumed by 929 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,B),C)))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),B)).
% 0.35/0.54 Following clause subsumed by 930 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,B),C)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),C)).
% 0.35/0.54 Following clause subsumed by 937 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,B),C)))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),C)).
% 0.35/0.54 Following clause subsumed by 931 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),C)))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B)).
% 0.35/0.54 Following clause subsumed by 932 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),C)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),C)).
% 0.35/0.54 Following clause subsumed by 938 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,B),C)))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),C)).
% 0.35/0.54 Following clause subsumed by 933 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,B),C)))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),B)).
% 0.35/0.54 Following clause subsumed by 934 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,B),C)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),C)).
% 0.35/0.54 Following clause subsumed by 939 during input processing: 0 [] {-} hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,B),C)))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),B))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,A),C)).
% 0.35/0.54 Following clause subsumed by 935 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,B),C)))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),B)).
% 0.35/0.54 Following clause subsumed by 936 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,B),C)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),C)).
% 0.35/0.54 Following clause subsumed by 940 during input processing: 0 [] {-} hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,B),C)))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),B))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A),C)).
% 0.35/0.54 Following clause subsumed by 964 during input processing: 0 [] {-} -hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A))| -hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B),A))|hAPP_fun_a_bool_nat(finite_card_a,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),bot_bot_fun_a_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_fun_a_bool_nat(finite_card_a,A)),one_one_nat).
% 0.35/0.54 Following clause subsumed by 966 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),A))|hAPP_f957591787ol_nat(finite_card_int,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),bot_bot_fun_int_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f957591787ol_nat(finite_card_int,A)),one_one_nat).
% 0.35/0.54 Following clause subsumed by 968 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))| -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,B),A))|hAPP_f22106695ol_nat(finite_card_nat,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),bot_bot_fun_nat_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(finite_card_nat,A)),one_one_nat).
% 0.35/0.55 Following clause subsumed by 970 during input processing: 0 [] {-} -hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,A))| -hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,B),A))|hAPP_f921600141ol_nat(finite_card_pname,hAPP_f759274231e_bool(hAPP_f1388330588e_bool(minus_1015773161e_bool,A),hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,B),bot_bo844097828e_bool)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f921600141ol_nat(finite_card_pname,A)),one_one_nat).
% 0.35/0.55 Following clause subsumed by 1063 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)|B=C.
% 0.35/0.55 Following clause subsumed by 1065 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B=C.
% 0.35/0.55 Following clause subsumed by 1063 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)|B=C.
% 0.35/0.55 Following clause subsumed by 1065 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B=C.
% 0.35/0.55 Following clause subsumed by 1067 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)|A=C.
% 0.35/0.55 Following clause subsumed by 1069 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)|A=C.
% 0.35/0.55 Following clause subsumed by 1065 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B=C.
% 0.35/0.55 Following clause subsumed by 1066 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B!=C.
% 0.35/0.55 Following clause subsumed by 1069 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)|A=C.
% 0.35/0.55 Following clause subsumed by 1070 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)|A!=C.
% 0.35/0.55 Following clause subsumed by 1072 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))).
% 0.35/0.55 Following clause subsumed by 1074 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))).
% 0.35/0.55 Following clause subsumed by 1076 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),A)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B))).
% 0.35/0.55 Following clause subsumed by 1078 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B))).
% 0.35/0.55 Following clause subsumed by 1071 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),C)).
% 0.35/0.55 Following clause subsumed by 1073 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.35/0.55 Following clause subsumed by 1075 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),C)).
% 0.35/0.55 Following clause subsumed by 1077 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.35/0.55 Following clause subsumed by 1077 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.35/0.55 Following clause subsumed by 1078 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.35/0.55 Following clause subsumed by 1074 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))).
% 0.35/0.55 Following clause subsumed by 1080 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),D))).
% 0.35/0.55 Following clause subsumed by 1087 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.35/0.55 Following clause subsumed by 1086 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.35/0.55 Following clause subsumed by 1094 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)),A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A)).
% 0.35/0.55 Following clause subsumed by 1085 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B))).
% 0.35/0.55 Following clause subsumed by 1084 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))).
% 0.35/0.55 Following clause subsumed by 1105 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 0.35/0.55 Following clause subsumed by 1107 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 0.35/0.55 Following clause subsumed by 1106 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.35/0.55 Following clause subsumed by 1104 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,A)),hAPP_nat_nat(suc,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.35/0.55 Following clause subsumed by 1109 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,B)))|A=B.
% 0.35/0.55 Following clause subsumed by 1111 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,B)))|A!=B.
% 0.35/0.55 Following clause subsumed by 1110 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,B))).
% 0.35/0.55 Following clause subsumed by 1109 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B.
% 0.35/0.55 Following clause subsumed by 1112 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,A)),hAPP_nat_nat(suc,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.35/0.55 Following clause subsumed by 1121 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))).
% 0.35/0.55 Following clause subsumed by 1122 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B))).
% 0.35/0.55 Following clause subsumed by 1106 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.35/0.55 Following clause subsumed by 1128 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B.
% 0.35/0.55 Following clause subsumed by 1127 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.35/0.55 Following clause subsumed by 183 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A!=B.
% 0.35/0.55 Following clause subsumed by 1127 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.35/0.55 Following clause subsumed by 1128 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.35/0.55 Following clause subsumed by 1127 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.35/0.55 Following clause subsumed by 183 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.35/0.55 Following clause subsumed by 1127 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.35/0.55 Following clause subsumed by 1137 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,A)),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.35/0.55 Following clause subsumed by 1136 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,A)),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.35/0.55 Following clause subsumed by 1139 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,B))).
% 0.35/0.55 Following clause subsumed by 1136 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,A)),B)).
% 0.35/0.55 Following clause subsumed by 1111 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),hAPP_nat_nat(suc,A)))|B!=A.
% 0.35/0.55 Following clause subsumed by 1137 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,A)),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.35/0.55 Following clause subsumed by 1143 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,C),A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.35/0.55 Following clause subsumed by 183 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),zero_zero_nat))|A!=zero_zero_nat.
% 0.35/0.55 Following clause subsumed by 1160 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 0.35/0.55 Following clause subsumed by 1107 during input processing: 0 [] {-} A!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.35/0.55 Following clause subsumed by 1160 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 0.35/0.55 Following clause subsumed by 1168 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.35/0.55 Following clause subsumed by 1168 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.35/0.55 Following clause subsumed by 1168 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.35/0.55 Following clause subsumed by 1168 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.35/0.55 Following clause subsumed by 1168 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.35/0.55 Following clause subsumed by 1111 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,zero_zero_nat)))|A!=zero_zero_nat.
% 0.35/0.55 Following clause subsumed by 1179 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(suc,zero_zero_nat)|A=hAPP_nat_nat(suc,zero_zero_nat)|A=zero_zero_nat.
% 0.35/0.55 Following clause subsumed by 1181 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(suc,zero_zero_nat)|A=hAPP_nat_nat(suc,zero_zero_nat)|B=hAPP_nat_nat(suc,zero_zero_nat).
% 0.35/0.55 Following clause subsumed by 1183 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(suc,zero_zero_nat)|B=zero_zero_nat|A=zero_zero_nat.
% 0.35/0.55 Following clause subsumed by 1185 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(suc,zero_zero_nat)|B=zero_zero_nat|B=hAPP_nat_nat(suc,zero_zero_nat).
% 0.35/0.55 Following clause subsumed by 1187 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(suc,zero_zero_nat)|A!=hAPP_nat_nat(suc,zero_zero_nat)|B!=zero_zero_nat.
% 0.35/0.55 Following clause subsumed by 1189 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(suc,zero_zero_nat)|A!=zero_zero_nat|B!=hAPP_nat_nat(suc,zero_zero_nat).
% 0.35/0.55 Following clause subsumed by 1121 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.35/0.55 Following clause subsumed by 1122 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 0.35/0.55 Following clause subsumed by 1195 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),B)=zero_zero_nat.
% 0.35/0.55 Following clause subsumed by 1198 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(A,zero_zero_nat)).
% 0.35/0.55 Following clause subsumed by 1199 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),C)))|B!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),D)|hBOOL(hAPP_nat_bool(A,D)).
% 0.35/0.55 Following clause subsumed by 1210 during input processing: 0 [flip.2] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),one_one_nat))=A.
% 0.35/0.55 Following clause subsumed by 1210 during input processing: 0 [flip.2] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(A)))|hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,number_number_of_nat(A)),one_one_nat))=number_number_of_nat(A).
% 0.35/0.55 Following clause subsumed by 1230 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,A)),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,A)),C)|B!=C.
% 0.35/0.55 Following clause subsumed by 1239 during input processing: 0 [flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)!=one_one_nat|A=one_one_nat.
% 0.35/0.55 Following clause subsumed by 1240 during input processing: 0 [flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)!=one_one_nat|B=one_one_nat.
% 0.35/0.55 Following clause subsumed by 1241 during input processing: 0 [flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 0.35/0.55 Following clause subsumed by 1246 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.35/0.55 Following clause subsumed by 1245 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.35/0.55 Following clause subsumed by 1250 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,A)),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,A)),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.35/0.55 Following clause subsumed by 1237 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,A)),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,A)),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.35/0.55 Following clause subsumed by 1237 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.35/0.55 Following clause subsumed by 1238 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.35/0.55 Following clause subsumed by 1227 during input processing: 0 [] {-} A!=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)=zero_zero_nat.
% 0.35/0.56 Following clause subsumed by 1076 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),A)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B))).
% 0.35/0.56 Following clause subsumed by 570 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),C)).
% 0.35/0.56 Following clause subsumed by 543 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A))|A=B.
% 0.35/0.56 Following clause subsumed by 1294 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),one_one_int)),B)).
% 0.35/0.56 Following clause subsumed by 1229 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)|A=zero_zero_nat|B=C.
% 0.35/0.56 Following clause subsumed by 1231 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)|A!=zero_zero_nat.
% 0.35/0.56 Following clause subsumed by 1230 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)|B!=C.
% 0.35/0.56 Following clause subsumed by 1230 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)|B!=C.
% 0.35/0.56 Following clause subsumed by 1250 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.35/0.56 Following clause subsumed by 1245 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.35/0.56 Following clause subsumed by 1264 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.35/0.56 Following clause subsumed by 1237 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.35/0.56 Following clause subsumed by 1375 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.35/0.56 Following clause subsumed by 1376 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.35/0.61 Following clause subsumed by 1377 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.35/0.61 Following clause subsumed by 1378 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.35/0.61 Following clause subsumed by 89 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))|hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(semiri1621563631at_int,A))).
% 0.35/0.61 Following clause subsumed by 1371 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hAPP_int_int(hAPP_int_fun_int_int(nat_tsub,B),A)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B),A).
% 0.35/0.61 Following clause subsumed by 649 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))|hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,image_nat_int(semiri1621563631at_int,A)),image_nat_int(semiri1621563631at_int,B))).
% 0.35/0.61 Following clause subsumed by 603 during input processing: 0 [] {-} -hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,A),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(semiri1621563631at_int,A)),image_nat_int(semiri1621563631at_int,B))).
% 0.35/0.61 Following clause subsumed by 1407 during input processing: 0 [] {-} hAPP_nat_int(semiri1621563631at_int,A)!=hAPP_nat_int(semiri1621563631at_int,B)|A=B.
% 0.35/0.61 Following clause subsumed by 1408 during input processing: 0 [] {-} hAPP_nat_int(semiri1621563631at_int,A)=hAPP_nat_int(semiri1621563631at_int,B)|A!=B.
% 0.35/0.61 Following clause subsumed by 1474 during input processing: 0 [flip.1] {-} bit1(A)!=pls.
% 0.35/0.61 Following clause subsumed by 1477 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.35/0.61 Following clause subsumed by 1478 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.35/0.61 Following clause subsumed by 1482 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.35/0.61 Following clause subsumed by 1483 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.35/0.61 Following clause subsumed by 1496 during input processing: 0 [] {-} -is_bool(A)|A=fTrue|A=fFalse.
% 0.35/0.61 237 back subsumes 232.
% 0.35/0.61 547 back subsumes 545.
% 0.35/0.61 595 back subsumes 546.
% 0.35/0.61 611 back subsumes 609.
% 0.35/0.61 632 back subsumes 625.
% 0.35/0.61 633 back subsumes 627.
% 0.35/0.61 634 back subsumes 629.
% 0.35/0.61 1569 back subsumes 1563.
% 0.35/0.61 1608 back subsumes 1607.
% 0.35/0.61 1608 back subsumes 1606.
% 0.35/0.61 1608 back subsumes 1605.
% 0.35/0.61 1610 back subsumes 1609.
% 0.35/0.61 1612 back subsumes 1611.
% 0.35/0.61 1616 back subsumes 1615.
% 0.35/0.61 1616 back subsumes 1614.
% 0.35/0.61 1616 back subsumes 1613.
% 0.35/0.61
% 0.35/0.61 ------------> process sos:
% 0.35/0.61 Following clause subsumed by 1803 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),A)).
% 0.35/0.61 Following clause subsumed by 1802 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A)).
% 0.35/0.61 Following clause subsumed by 1815 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A)).
% 0.35/0.61 Following clause subsumed by 1802 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A)).
% 0.35/0.61 Following clause subsumed by 1811 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),A)).
% 0.45/0.63 Following clause subsumed by 1812 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),A)).
% 0.45/0.63 Following clause subsumed by 1814 during input processing: 0 [] {-} hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),A)).
% 0.45/0.63 Following clause subsumed by 1879 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),A)).
% 0.45/0.63 Following clause subsumed by 1880 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,bot_bot_fun_int_bool),A)).
% 0.45/0.63 Following clause subsumed by 1881 during input processing: 0 [] {-} hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),A)).
% 0.45/0.63 Following clause subsumed by 2057 during input processing: 0 [] {-} A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.45/0.63 Following clause subsumed by 2057 during input processing: 0 [factor_simp] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.45/0.63 Following clause subsumed by 2074 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A)).
% 0.45/0.63 Following clause subsumed by 2092 during input processing: 0 [demod,2084,2084] {-} A=bot_bot_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,bot_bot_nat),A)).
% 0.45/0.63 Following clause subsumed by 1813 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),A)).
% 0.45/0.63 Following clause subsumed by 1815 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A)).
% 0.45/0.63 Following clause subsumed by 1813 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),zero_zero_int)).
% 0.45/0.63 Following clause subsumed by 2172 during input processing: 0 [demod,2195,2019] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,B)),C))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,B)),C)).
% 0.45/0.63 Following clause subsumed by 2200 during input processing: 0 [demod,2198] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 0.45/0.63 Following clause subsumed by 2187 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,A))).
% 0.45/0.63 Following clause subsumed by 2210 during input processing: 0 [demod,2084,2098,2189] {-} one_one_int=one_one_int.
% 0.45/0.63 Following clause subsumed by 2260 during input processing: 0 [demod,2247,2253] {-} one_one_nat=one_one_nat.
% 0.45/0.63 Following clause subsumed by 1813 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)).
% 0.45/0.63 1802 back subsumes 1641.
% 0.45/0.63 1802 back subsumes 1640.
% 0.45/0.63 1802 back subsumes 1639.
% 0.45/0.63 1802 back subsumes 1533.
% 0.45/0.63 1811 back subsumes 1610.
% 0.45/0.63 1812 back subsumes 1612.
% 0.45/0.63 1813 back subsumes 1674.
% 0.45/0.63 1813 back subsumes 1673.
% 0.45/0.63 1813 back subsumes 1672.
% 0.45/0.63 1814 back subsumes 1608.
% 0.45/0.63 Following clause subsumed by 1847 during input processing: 0 [copy,1847,flip.1] {-} hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),C))=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A),C)).
% 0.45/0.63 1847 back subsumes 1735.
% 0.45/0.63 1847 back subsumes 1732.
% 0.45/0.65 Following clause subsumed by 2407 during input processing: 0 [copy,1849,flip.1] {-} hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A),B)=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,A),B).
% 0.45/0.65 1849 back subsumes 1734.
% 0.45/0.65 1849 back subsumes 1730.
% 0.45/0.65 1849 back subsumes 1547.
% 0.45/0.65 Following clause subsumed by 2410 during input processing: 0 [copy,1851,flip.1,demod,1971] {-} cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A),bot_bot_fun_int_bool)),hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),B))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A),B).
% 0.45/0.65 Following clause subsumed by 2426 during input processing: 0 [copy,1853,flip.1,demod,1974] {-} cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A),bot_bot_fun_nat_bool)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B))=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A),B).
% 0.45/0.65 Following clause subsumed by 2407 during input processing: 0 [copy,1855,flip.1] {-} hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B)=hAPP_f759274231e_bool(hAPP_p905327722e_bool(insert_pname,A),B).
% 0.45/0.65 1855 back subsumes 1553.
% 0.45/0.65 1875 back subsumes 1624.
% 0.45/0.65 1875 back subsumes 1623.
% 0.45/0.65 1875 back subsumes 1622.
% 0.45/0.65 1876 back subsumes 1627.
% 0.45/0.65 1876 back subsumes 1626.
% 0.45/0.65 1876 back subsumes 1625.
% 0.45/0.65 1877 back subsumes 1632.
% 0.45/0.65 1877 back subsumes 1631.
% 0.45/0.65 1877 back subsumes 1630.
% 0.45/0.65 1877 back subsumes 1629.
% 0.45/0.65 1877 back subsumes 1628.
% 0.45/0.65 1878 back subsumes 1621.
% 0.45/0.65 1878 back subsumes 1620.
% 0.45/0.65 1878 back subsumes 1619.
% 0.45/0.65 1878 back subsumes 1618.
% 0.45/0.65 1878 back subsumes 1617.
% 0.45/0.65 Following clause subsumed by 2022 during input processing: 0 [copy,2022,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).
% 0.45/0.65 Following clause subsumed by 2023 during input processing: 0 [copy,2023,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)).
% 0.45/0.65 Following clause subsumed by 2407 during input processing: 0 [copy,2025,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,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)).
% 0.45/0.65 Following clause subsumed by 2407 during input processing: 0 [copy,2035,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)).
% 0.45/0.65 Following clause subsumed by 2142 during input processing: 0 [copy,2142,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),A).
% 0.45/0.65 Following clause subsumed by 2149 during input processing: 0 [copy,2149,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),A).
% 0.45/0.65 Following clause subsumed by 2407 during input processing: 0 [copy,2172,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C)).
% 0.45/0.65 Following clause subsumed by 2173 during input processing: 0 [copy,2173,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)).
% 0.45/0.65 Following clause subsumed by 2174 during input processing: 0 [copy,2174,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),A).
% 0.45/0.65 2187 back subsumes 1696.
% 0.45/0.65 Following clause subsumed by 2407 during input processing: 0 [copy,2200,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 0.45/0.66 Following clause subsumed by 2407 during input processing: 0 [copy,2205,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 0.45/0.66 Following clause subsumed by 2407 during input processing: 0 [copy,2210,flip.1] {-} one_one_int=one_one_int.
% 0.45/0.66 Following clause subsumed by 2407 during input processing: 0 [copy,2212,flip.1,demod,2266,2266] {-} pls=pls.
% 0.45/0.66 Following clause subsumed by 2407 during input processing: 0 [copy,2222,flip.1] {-} bot_bot_fun_int_bool=bot_bot_fun_int_bool.
% 0.45/0.66 Following clause subsumed by 2407 during input processing: 0 [copy,2258,flip.1] {-} hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,A)))=hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,A))).
% 0.45/0.66 Following clause subsumed by 2407 during input processing: 0 [copy,2260,flip.1] {-} one_one_nat=one_one_nat.
% 0.45/0.66 Following clause subsumed by 2407 during input processing: 0 [copy,2274,flip.1] {-} bot_bot_nat=bot_bot_nat.
% 0.45/0.66 Following clause subsumed by 2407 during input processing: 0 [copy,2276,flip.1] {-} pls=pls.
% 0.45/0.66 Following clause subsumed by 2407 during input processing: 0 [copy,2407,flip.1] {-} A=A.
% 0.45/0.66 2407 back subsumes 2276.
% 0.45/0.66 2407 back subsumes 2274.
% 0.45/0.66 2407 back subsumes 2260.
% 0.45/0.66 2407 back subsumes 2258.
% 0.45/0.66 2407 back subsumes 2222.
% 0.45/0.66 2407 back subsumes 2210.
% 0.45/0.66 2407 back subsumes 2205.
% 0.45/0.66 2407 back subsumes 2200.
% 0.45/0.66 2407 back subsumes 2172.
% 0.45/0.66 2407 back subsumes 2035.
% 0.45/0.66 2407 back subsumes 2025.
% 0.45/0.66 2407 back subsumes 1855.
% 0.45/0.66 2407 back subsumes 1849.
% 0.45/0.66 2407 back subsumes 1725.
% 0.45/0.66 2407 back subsumes 1724.
% 0.45/0.66 2407 back subsumes 1722.
% 0.45/0.66 2407 back subsumes 1721.
% 0.45/0.66 2407 back subsumes 1718.
% 0.45/0.66 2407 back subsumes 1717.
% 0.45/0.66 2407 back subsumes 1713.
% 0.45/0.66 2407 back subsumes 1712.
% 0.45/0.66 2407 back subsumes 1709.
% 0.45/0.66 2407 back subsumes 1708.
% 0.45/0.66 2407 back subsumes 1707.
% 0.45/0.66 2407 back subsumes 1706.
% 0.45/0.66 2407 back subsumes 1582.
% 0.45/0.66 2407 back subsumes 1581.
% 0.45/0.66 2407 back subsumes 1578.
% 0.45/0.66 2407 back subsumes 1576.
% 0.45/0.66 2407 back subsumes 1572.
% 0.45/0.66 2407 back subsumes 1570.
% 0.45/0.66 2407 back subsumes 1565.
% 0.45/0.66 2407 back subsumes 1564.
% 0.45/0.66 2407 back subsumes 1562.
% 0.45/0.66 2407 back subsumes 1561.
% 0.45/0.66 2407 back subsumes 1560.
% 0.45/0.66 2407 back subsumes 1552.
% 0.45/0.66 2407 back subsumes 1551.
% 0.45/0.66 2407 back subsumes 1550.
% 0.45/0.66 2407 back subsumes 1549.
% 0.45/0.66 2407 back subsumes 1548.
% 0.45/0.66 2407 back subsumes 1546.
% 0.45/0.66 2407 back subsumes 1543.
% 0.45/0.66 2407 back subsumes 1542.
% 0.45/0.66 2407 back subsumes 1541.
% 0.45/0.66 2407 back subsumes 1540.
% 0.45/0.66 2407 back subsumes 1539.
% 0.45/0.66 2407 back subsumes 1538.
% 0.45/0.66 2407 back subsumes 1537.
% 0.45/0.66 2407 back subsumes 1536.
% 0.45/0.66 2407 back subsumes 1535.
% 0.45/0.66 2407 back subsumes 1524.
% 0.45/0.66 2407 back subsumes 1523.
% 0.45/0.66 2407 back subsumes 1522.
% 0.45/0.66 2407 back subsumes 1521.
% 0.45/0.66 Following clause subsumed by 2408 during input processing: 0 [copy,2408,flip.1] {-} 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))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)).
% 0.45/0.66 Following clause subsumed by 2464 during input processing: 0 [copy,2410,flip.1] {-} hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A),B)=cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A),bot_bot_fun_int_bool)),hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),B)).
% 0.45/0.66 Following clause subsumed by 2466 during input processing: 0 [copy,2426,flip.1] {-} hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A),B)=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A),bot_bot_fun_nat_bool)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B)).
% 0.45/0.66 Following clause subsumed by 1942 during input processing: 0 [copy,2460,flip.1] {-} hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),C))=hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,hAPP_f2050579477a_bool(hAPP_f1791771145a_bool(minus_1762468890a_bool,A),C)),hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,B),bot_bot_fun_a_bool)).
% 0.45/0.66 Following clause subsumed by 1943 during input processing: 0 [copy,2461,flip.1] {-} hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),C))=hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),C)),hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,B),bot_bot_fun_nat_bool)).
% 0.45/0.66 Following clause subsumed by 1944 during input processing: 0 [copy,2462,flip.1] {-} hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),C))=hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),C)),hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,B),bot_bot_fun_int_bool)).
% 0.45/0.66 Following clause subsumed by 2410 during input processing: 0 [copy,2464,flip.1] {-} cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fdisj,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A),bot_bot_fun_int_bool)),hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),B))=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A),B).
% 0.45/0.66 Following clause subsumed by 2426 during input processing: 0 [copy,2466,flip.1] {-} cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A),bot_bot_fun_nat_bool)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B))=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A),B).
% 0.45/0.66 Following clause subsumed by 1997 during input processing: 0 [copy,2471,flip.1] {-} hAPP_f1805168059t_bool(hAPP_f1223193598t_bool(minus_1449998731t_bool,A),B)=cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fconj,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),A)),cOMBB_bool_bool_int(fNot,hAPP_f1805168059t_bool(cOMBC_94739984l_bool(member_int),B))).
% 0.45/0.66 Following clause subsumed by 1999 during input processing: 0 [copy,2472,flip.1] {-} hAPP_f800510211t_bool(hAPP_f1730770594t_bool(minus_2067140911t_bool,A),B)=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),A)),cOMBB_bool_bool_nat(fNot,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),B))).
% 0.45/0.66 Following clause subsumed by 2011 during input processing: 0 [copy,2473,flip.1] {-} hAPP_fun_a_bool_a(the_elem_a,A)=hAPP_fun_a_bool_a(the_a,cOMBB_1273333599bool_a(hAPP_f1631501043l_bool(fequal_fun_a_bool,A),hAPP_f1038053735a_bool(cOMBC_394484100a_bool(insert_a),bot_bot_fun_a_bool))).
% 0.45/0.66 2489 back subsumes 2220.
% 0.45/0.66 Following clause subsumed by 2100 during input processing: 0 [copy,2601,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),hAPP_nat_nat(suc,B))=hAPP_nat_nat(nat_case_nat(bot_bot_nat,cOMBI_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),B)).
% 0.45/0.66 Following clause subsumed by 2119 during input processing: 0 [copy,2602,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 0.45/0.66 Following clause subsumed by 2125 during input processing: 0 [copy,2603,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_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(times_times_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 0.45/0.66 Following clause subsumed by 2135 during input processing: 0 [copy,2604,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,A)),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)).
% 0.45/0.67 Following clause subsumed by 2155 during input processing: 0 [copy,2605,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)),C)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)).
% 0.45/0.67 Following clause subsumed by 2165 during input processing: 0 [copy,2606,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),C)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)).
% 0.45/0.67 Following clause subsumed by 2295 during input processing: 0 [copy,2744,flip.1] {-} hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(A),B),C)=hAPP_a_bool(hAPP_a_fun_a_bool(A,C),B).
% 0.45/0.67 Following clause subsumed by 2298 during input processing: 0 [copy,2745,flip.1] {-} hAPP_int_bool(hAPP_a_fun_int_bool(cOMBC_int_a_bool(A),B),C)=hAPP_a_bool(hAPP_int_fun_a_bool(A,C),B).
% 0.45/0.67 Following clause subsumed by 2303 during input processing: 0 [copy,2749,flip.1] {-} hAPP_a_bool(cOMBS_a_bool_bool(A,B),C)=hAPP_a_bool(cOMBB_bool_bool_a(hAPP_a_fun_bool_bool(A,C),B),C).
% 0.45/0.67 Following clause subsumed by 2306 during input processing: 0 [copy,2750,flip.1] {-} hAPP_nat_bool(cOMBB_int_bool_nat(A,B),C)=hAPP_int_bool(A,hAPP_nat_int(B,C)).
% 0.45/0.67 Following clause subsumed by 2307 during input processing: 0 [copy,2751,flip.1] {-} hAPP_int_bool(hAPP_i1948725293t_bool(cOMBC_int_int_bool(A),B),C)=hAPP_int_bool(hAPP_i1948725293t_bool(A,C),B).
% 0.45/0.67 Following clause subsumed by 2310 during input processing: 0 [copy,2752,flip.1] {-} hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(A),B),C)=hAPP_nat_bool(hAPP_n1699378549t_bool(A,C),B).
% 0.45/0.67 Following clause subsumed by 2323 during input processing: 0 [copy,2753,flip.1] {-} hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(A),B),C)=hAPP_pname_bool(hAPP_p61793385e_bool(A,C),B).
% 0.45/0.67 Following clause subsumed by 2329 during input processing: 0 [copy,2754,flip.1] {-} hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(A),B),C)=hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(A,C),B).
% 0.45/0.67 Following clause subsumed by 2330 during input processing: 0 [copy,2755,flip.1] {-} hAPP_p1534023578a_bool(cOMBB_1897541054_pname(A,B),C)=hAPP_a_fun_a_bool(A,hAPP_pname_a(B,C)).
% 0.45/0.67 Following clause subsumed by 2340 during input processing: 0 [copy,2756,flip.1] {-} hAPP_n1082236369t_bool(cOMBB_1628441366ol_nat(A,B),C)=hAPP_i1948725293t_bool(A,hAPP_nat_int(B,C)).
% 0.45/0.67 Following clause subsumed by 2341 during input processing: 0 [copy,2757,flip.1] {-} hAPP_n1699378549t_bool(cOMBB_800536526ol_nat(A,B),C)=hAPP_n1699378549t_bool(A,hAPP_nat_nat(B,C)).
% 0.45/0.67 Following clause subsumed by 2342 during input processing: 0 [copy,2758,flip.1] {-} hAPP_a_fun_a_bool(hAPP_f1038053735a_bool(cOMBC_394484100a_bool(A),B),C)=hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(A,C),B).
% 0.45/0.67 Following clause subsumed by 2355 during input processing: 0 [copy,2759,flip.1] {-} hAPP_i68813070l_bool(cOMBB_1652995168ol_int(A,B),C)=hAPP_b589554111l_bool(A,hAPP_int_bool(B,C)).
% 0.45/0.67 Following clause subsumed by 2356 during input processing: 0 [copy,2760,flip.1] {-} hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(A,B),C)=hAPP_b589554111l_bool(A,hAPP_nat_bool(B,C)).
% 0.45/0.67 Following clause subsumed by 2365 during input processing: 0 [copy,2761,flip.1] {-} hAPP_p393069232l_bool(cOMBB_675860798_pname(A,B),C)=hAPP_b589554111l_bool(A,hAPP_pname_bool(B,C)).
% 0.45/0.67 Following clause subsumed by 2370 during input processing: 0 [copy,2762,flip.1] {-} hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(A),B),C)=hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(A,C),B).
% 0.45/0.67 Following clause subsumed by 2371 during input processing: 0 [copy,2763,flip.1] {-} hAPP_f198738859l_bool(cOMBB_338059395a_bool(A,B),C)=hAPP_b589554111l_bool(A,hAPP_fun_a_bool_bool(B,C)).
% 0.45/0.67 Following clause subsumed by 2372 during input processing: 0 [copy,2764,flip.1] {-} hAPP_n215258509l_bool(cOMBB_1146692694ol_nat(A,B),C)=hAPP_n215258509l_bool(A,hAPP_nat_nat(B,C)).
% 0.45/0.67 Following clause subsumed by 2377 during input processing: 0 [copy,2765,flip.1] {-} hAPP_f448129468l_bool(hAPP_f284875647l_bool(cOMBC_605892544l_bool(A),B),C)=hAPP_f448129468l_bool(hAPP_f284875647l_bool(A,C),B).
% 0.45/0.67 Following clause subsumed by 2378 during input processing: 0 [copy,2766,flip.1] {-} hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(A),B),C)=hAPP_f54304608l_bool(hAPP_f103356543l_bool(A,C),B).
% 0.45/0.67 Following clause subsumed by 2379 during input processing: 0 [copy,2767,flip.1] {-} hAPP_f1721100032l_bool(cOMBB_1974511970t_bool(A,B),C)=hAPP_b589554111l_bool(A,hAPP_f448129468l_bool(B,C)).
% 0.45/0.67 Following clause subsumed by 2380 during input processing: 0 [copy,2768,flip.1] {-} hAPP_f1748468828l_bool(cOMBB_444170502t_bool(A,B),C)=hAPP_b589554111l_bool(A,hAPP_f54304608l_bool(B,C)).
% 0.45/0.67 Following clause subsumed by 2381 during input processing: 0 [copy,2769,flip.1] {-} hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(A,B),C)=hAPP_b589554111l_bool(A,hAPP_f1664156314l_bool(B,C)).
% 0.45/0.67 Following clause subsumed by 2382 during input processing: 0 [copy,2770,flip.1] {-} hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(A),B),C)=hAPP_f1664156314l_bool(hAPP_f434788991l_bool(A,C),B).
% 0.45/0.67 Following clause subsumed by 2383 during input processing: 0 [copy,2771,flip.1] {-} hAPP_i888906320l_bool(cOMBB_313729068ol_int(A,B),C)=hAPP_f1631501043l_bool(A,hAPP_int_fun_a_bool(B,C)).
% 0.45/0.67 Following clause subsumed by 2384 during input processing: 0 [copy,2772,flip.1] {-} hAPP_n1414589940l_bool(cOMBB_1823939024ol_nat(A,B),C)=hAPP_f1631501043l_bool(A,hAPP_nat_fun_a_bool(B,C)).
% 0.45/0.67 Following clause subsumed by 2389 during input processing: 0 [copy,2773,flip.1] {-} hAPP_i1718399025l_bool(cOMBB_516767136ol_int(A,B),C)=hAPP_f103356543l_bool(A,hAPP_i418383825t_bool(B,C)).
% 0.45/0.67 Following clause subsumed by 2392 during input processing: 0 [copy,2774,flip.1] {-} hAPP_i1587699435l_bool(cOMBB_607112096ol_int(A,B),C)=hAPP_f434788991l_bool(A,hAPP_i7355787e_bool(B,C)).
% 0.45/0.67 Following clause subsumed by 2395 during input processing: 0 [copy,2775,flip.1] {-} hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(A),B),C)=hAPP_f621171935l_bool(hAPP_f1434722111l_bool(A,C),B).
% 0.45/0.67 Following clause subsumed by 2396 during input processing: 0 [copy,2776,flip.1] {-} hAPP_f215623910l_bool(hAPP_f317860125l_bool(cOMBC_348868698l_bool(A),B),C)=hAPP_f215623910l_bool(hAPP_f317860125l_bool(A,C),B).
% 0.45/0.67 Following clause subsumed by 2397 during input processing: 0 [copy,2777,flip.1] {-} hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(A),B),C)=hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(A,C),B).
% 0.45/0.67 Following clause subsumed by 2398 during input processing: 0 [copy,2778,flip.1] {-} hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(A),B),C)=hAPP_f1935102916l_bool(hAPP_f510955609l_bool(A,C),B).
% 0.45/0.67 Following clause subsumed by 2409 during input processing: 0 [copy,2779,flip.1] {-} cOMBS_int_bool_bool(cOMBB_1652995168ol_int(fimplies,cOMBB_bool_bool_int(fNot,hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A),bot_bot_fun_int_bool))),B)=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(insert_int,A),B).
% 0.45/0.67 Following clause subsumed by 2425 during input processing: 0 [copy,2780,flip.1] {-} cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A),bot_bot_fun_nat_bool))),B)=hAPP_f800510211t_bool(hAPP_n1512601776t_bool(insert_nat,A),B).
% 0.45/0.67 Following clause subsumed by 2427 during input processing: 0 [copy,2781,flip.1] {-} hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),A))=hAPP_nat_nat(suc,A).
% 0.45/0.67
% 0.45/0.67 ======= end of input processing =======
% 0.45/0.67
% 0.45/0.67 SEGMENTATION FAULT!! This is probably caused by a
% 0.45/0.67 bug in Otter. Please send copy of the input file to
% 0.45/0.67 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.67 using, and send any other info that might be useful.
% 0.45/0.67
% 0.45/0.67
% 0.45/0.67 SEGMENTATION FAULT!! This is probably caused by a
% 0.45/0.67 bug in Otter. Please send copy of the input file to
% 0.45/0.67 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.67 using, and send any other info that might be useful.
% 0.45/0.67
% 0.45/0.67
% 0.45/0.67 The job finished Sat Jun 4 11:38:48 2022
%------------------------------------------------------------------------------