TSTP Solution File: SWW473+2 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SWW473+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 00:13:05 EDT 2022

% Result   : Theorem 0.47s 0.95s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW473+2 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun  6 02:36:50 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.43/0.60  # No SInE strategy applied
% 0.43/0.60  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S0Y
% 0.43/0.60  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.43/0.60  #
% 0.43/0.60  # Presaturation interreduction done
% 0.43/0.60  # Number of axioms: 1312 Number of unprocessed: 1020
% 0.43/0.60  # Tableaux proof search.
% 0.43/0.60  # APR header successfully linked.
% 0.43/0.60  # Hello from C++
% 0.43/0.61  # The folding up rule is enabled...
% 0.43/0.61  # Local unification is enabled...
% 0.43/0.61  # Any saturation attempts will use folding labels...
% 0.43/0.61  # 1020 beginning clauses after preprocessing and clausification
% 0.43/0.61  # Creating start rules for all 1 conjectures.
% 0.43/0.61  # There are 1 start rule candidates:
% 0.43/0.61  # Found 239 unit axioms.
% 0.43/0.61  # 1 start rule tableaux created.
% 0.43/0.61  # 781 extension rule candidate clauses
% 0.43/0.61  # 239 unit axiom clauses
% 0.43/0.61  
% 0.43/0.61  # Requested 8, 32 cores available to the main process.
% 0.43/0.61  # There are not enough tableaux to fork, creating more from the initial 1
% 0.43/0.61  # Returning from population with 33 new_tableaux and 0 remaining starting tableaux.
% 0.43/0.61  # We now have 33 tableaux to operate on
% 0.47/0.95  # There were 1 total branch saturation attempts.
% 0.47/0.95  # There were 0 of these attempts blocked.
% 0.47/0.95  # There were 0 deferred branch saturation attempts.
% 0.47/0.95  # There were 0 free duplicated saturations.
% 0.47/0.95  # There were 1 total successful branch saturations.
% 0.47/0.95  # There were 0 successful branch saturations in interreduction.
% 0.47/0.95  # There were 0 successful branch saturations on the branch.
% 0.47/0.95  # There were 1 successful branch saturations after the branch.
% 0.47/0.95  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.95  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.95  # Begin clausification derivation
% 0.47/0.95  
% 0.47/0.95  # End clausification derivation
% 0.47/0.95  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.47/0.95  cnf(i_0_1246, plain, (bot_bot_nat=zero_zero_nat)).
% 0.47/0.95  cnf(i_0_1358, hypothesis, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))))).
% 0.47/0.95  cnf(i_0_98, hypothesis, (is_fun_a_bool(g))).
% 0.47/0.95  cnf(i_0_100, hypothesis, (is_fun_pname_bool(u))).
% 0.47/0.95  cnf(i_0_795, plain, (cOMBK_bool_nat(fFalse)=bot_bot_fun_nat_bool)).
% 0.47/0.95  cnf(i_0_102, hypothesis, (is_pname(pn))).
% 0.47/0.95  cnf(i_0_22, plain, (is_fun_a_bool(bot_bot_fun_a_bool))).
% 0.47/0.95  cnf(i_0_23, plain, (is_fun_pname_bool(bot_bo844097828e_bool))).
% 0.47/0.95  cnf(i_0_13, plain, (is_fun949378684l_bool(finite_finite_a))).
% 0.47/0.95  cnf(i_0_791, plain, (cOMBK_1994329625t_bool(fFalse)=bot_bo1701429464l_bool)).
% 0.47/0.95  cnf(i_0_24, plain, (is_fun949378684l_bool(bot_bo1389914601l_bool))).
% 0.47/0.95  cnf(i_0_14, hypothesis, (is_fun1661590463l_bool(finite_finite_pname))).
% 0.47/0.95  cnf(i_0_25, plain, (is_fun1661590463l_bool(bot_bo1649642514l_bool))).
% 0.47/0.95  cnf(i_0_21, plain, (is_bool(bot_bot_bool))).
% 0.47/0.95  cnf(i_0_52, plain, (is_bool(fFalse))).
% 0.47/0.95  cnf(i_0_53, plain, (is_bool(fTrue))).
% 0.47/0.95  cnf(i_0_794, plain, (collect_a(cOMBK_bool_a(fFalse))=bot_bot_fun_a_bool)).
% 0.47/0.95  cnf(i_0_875, plain, (image_pname_a(X1,bot_bo844097828e_bool)=bot_bot_fun_a_bool)).
% 0.47/0.95  cnf(i_0_15, plain, (is_a(undefined_a(x_a)))).
% 0.47/0.95  cnf(i_0_730, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,bot_bot_fun_a_bool)))).
% 0.47/0.95  cnf(i_0_1357, hypothesis, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,u)))).
% 0.47/0.95  cnf(i_0_790, plain, (collect_pname(cOMBK_bool_pname(fFalse))=bot_bo844097828e_bool)).
% 0.47/0.95  cnf(i_0_16, plain, (is_pname(undefined_pname(pname)))).
% 0.47/0.95  cnf(i_0_103, plain, (is_bool(wt(X1)))).
% 0.47/0.95  cnf(i_0_735, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,bot_bot_fun_a_bool),X1)))).
% 0.47/0.95  cnf(i_0_793, plain, (collect_fun_a_bool(cOMBK_324466864a_bool(fFalse))=bot_bo1389914601l_bool)).
% 0.47/0.95  cnf(i_0_101, plain, (is_a(mgt(X1)))).
% 0.47/0.95  cnf(i_0_792, plain, (collec1974731493e_bool(cOMBK_1857069011e_bool(fFalse))=bot_bo1649642514l_bool)).
% 0.47/0.95  cnf(i_0_540, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X1)))).
% 0.47/0.95  cnf(i_0_1235, plain, (hAPP_nat_nat(suc,zero_zero_nat)=one_one_nat)).
% 0.47/0.95  cnf(i_0_731, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,bot_bo844097828e_bool)))).
% 0.47/0.95  cnf(i_0_732, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,bot_bot_fun_nat_bool)))).
% 0.47/0.95  cnf(i_0_729, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,bot_bo1389914601l_bool)))).
% 0.47/0.95  cnf(i_0_728, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,bot_bo1649642514l_bool)))).
% 0.47/0.95  cnf(i_0_727, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,bot_bo1701429464l_bool)))).
% 0.47/0.95  cnf(i_0_38, plain, (is_fun_a_bool(image_nat_a(X1,X2)))).
% 0.47/0.95  cnf(i_0_46, plain, (is_fun_a_bool(image_fun_nat_bool_a(X1,X2)))).
% 0.47/0.95  cnf(i_0_72, plain, (is_fun_a_bool(hAPP_nat_fun_a_bool(X1,X2)))).
% 0.47/0.95  cnf(i_0_1361, hypothesis, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)))).
% 0.47/0.95  cnf(i_0_88, plain, (is_fun_a_bool(hAPP_f1549043526a_bool(X1,X2)))).
% 0.47/0.95  cnf(i_0_39, plain, (is_fun_pname_bool(image_nat_pname(X1,X2)))).
% 0.47/0.95  cnf(i_0_47, plain, (is_fun_pname_bool(image_1921560913_pname(X1,X2)))).
% 0.47/0.95  cnf(i_0_73, plain, (is_fun_pname_bool(hAPP_n1025906991e_bool(X1,X2)))).
% 0.47/0.95  cnf(i_0_910, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),bot_bot_fun_a_bool)))=collect_a(hAPP_a_fun_a_bool(fequal_a,X1)))).
% 0.47/0.95  cnf(i_0_89, plain, (is_fun_pname_bool(hAPP_f654413245e_bool(X1,X2)))).
% 0.47/0.95  cnf(i_0_40, plain, (is_fun949378684l_bool(image_nat_fun_a_bool(X1,X2)))).
% 0.47/0.95  cnf(i_0_74, plain, (is_fun949378684l_bool(hAPP_n1414589940l_bool(X1,X2)))).
% 0.47/0.95  cnf(i_0_41, plain, (is_fun1661590463l_bool(image_1655916159e_bool(X1,X2)))).
% 0.47/0.95  cnf(i_0_75, plain, (is_fun1661590463l_bool(hAPP_n850744903l_bool(X1,X2)))).
% 0.47/0.95  cnf(i_0_71, hypothesis, (is_bool(hAPP_nat_bool(X1,X2)))).
% 0.47/0.95  cnf(i_0_904, plain, (collect_a(hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))=collect_a(hAPP_a_fun_a_bool(fequal_a,X1)))).
% 0.47/0.95  cnf(i_0_87, plain, (is_bool(hAPP_f54304608l_bool(X1,X2)))).
% 0.47/0.95  cnf(i_0_94, plain, (is_bool(hAPP_f1637334154l_bool(X1,X2)))).
% 0.47/0.95  cnf(i_0_95, plain, (is_bool(hAPP_f292226953l_bool(X1,X2)))).
% 0.47/0.95  cnf(i_0_96, plain, (is_bool(hAPP_f389811538l_bool(X1,X2)))).
% 0.47/0.95  cnf(i_0_97, plain, (is_bool(hAPP_f937997336l_bool(X1,X2)))).
% 0.47/0.95  cnf(i_0_69, plain, (is_a(hAPP_nat_a(X1,X2)))).
% 0.47/0.95  cnf(i_0_70, plain, (is_pname(hAPP_nat_pname(X1,X2)))).
% 0.47/0.95  cnf(i_0_86, plain, (is_pname(hAPP_f1291551745_pname(X1,X2)))).
% 0.47/0.95  cnf(i_0_1239, plain, (hAPP_nat_nat(minus_minus_nat(zero_zero_nat),X1)=zero_zero_nat)).
% 0.47/0.95  cnf(i_0_1238, plain, (hAPP_nat_nat(minus_minus_nat(X1),zero_zero_nat)=X1)).
% 0.47/0.95  cnf(i_0_1237, plain, (hAPP_nat_nat(minus_minus_nat(X1),X1)=zero_zero_nat)).
% 0.47/0.95  cnf(i_0_17, plain, (is_fun_a_bool(undefined_fun_a_bool(fun(x_a,bool))))).
% 0.47/0.95  cnf(i_0_18, plain, (is_fun_pname_bool(undefi17486888e_bool(fun(pname,bool))))).
% 0.47/0.95  cnf(i_0_1264, plain, (hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X1),X1)))).
% 0.47/0.95  cnf(i_0_827, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,bot_bot_bool),X1)))).
% 0.47/0.95  cnf(i_0_1274, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1),X1)))).
% 0.47/0.95  cnf(i_0_830, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)))).
% 0.47/0.95  cnf(i_0_733, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,bot_bo844097828e_bool),X1)))).
% 0.47/0.95  cnf(i_0_608, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))))))).
% 0.47/0.95  cnf(i_0_734, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,bot_bot_fun_nat_bool),X1)))).
% 0.47/0.95  cnf(i_0_699, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X1)))).
% 0.47/0.95  cnf(i_0_206, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)))).
% 0.47/0.95  cnf(i_0_538, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X1)))).
% 0.47/0.95  cnf(i_0_539, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X1)))).
% 0.47/0.95  cnf(i_0_1109, plain, (hAPP_nat_nat(plus_plus_nat(one_one_nat),X1)=hAPP_nat_nat(suc,X1))).
% 0.47/0.95  cnf(i_0_1108, plain, (hAPP_nat_nat(plus_plus_nat(X1),one_one_nat)=hAPP_nat_nat(suc,X1))).
% 0.47/0.95  cnf(i_0_489, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))))).
% 0.47/0.95  cnf(i_0_1177, plain, (hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X1))=X1)).
% 0.47/0.95  cnf(i_0_1062, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X1)),one_one_nat)=X1)).
% 0.47/0.95  cnf(i_0_1201, plain, (hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,X1))=hAPP_n1699378549t_bool(ord_less_nat,X1))).
% 0.47/0.95  cnf(i_0_195, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),X1))))).
% 0.47/0.95  cnf(i_0_1116, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X1))))).
% 0.47/0.95  cnf(i_0_1268, plain, (hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X1)))).
% 0.47/0.95  cnf(i_0_1266, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X1)))).
% 0.47/0.95  cnf(i_0_1285, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X1)))).
% 0.47/0.95  cnf(i_0_196, plain, (hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_eq_nat),X1))=hAPP_nat_nat(suc,X1))).
% 0.47/0.95  cnf(i_0_1283, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X1),X1)))).
% 0.47/0.95  cnf(i_0_19, plain, (is_fun949378684l_bool(undefi1699038445l_bool(fun(fun(x_a,bool),bool))))).
% 0.47/0.95  cnf(i_0_1231, plain, (hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(plus_plus_nat(X1),X2))=zero_zero_nat)).
% 0.47/0.95  cnf(i_0_20, plain, (is_fun1661590463l_bool(undefi64961550l_bool(fun(fun(pname,bool),bool))))).
% 0.47/0.95  cnf(i_0_1286, plain, (hAPP_a_fun_a_bool(cOMBB_a_fun_a_bool_a(X1,X2),X3)=hAPP_a_fun_a_bool(X1,hAPP_a_a(X2,X3)))).
% 0.47/0.95  cnf(i_0_1305, plain, (hAPP_fun_a_bool_bool(cOMBB_2140588453a_bool(X1,X2),X3)=hAPP_bool_bool(X1,hAPP_fun_a_bool_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1335, plain, (hAPP_a85458249l_bool(cOMBB_472261505bool_a(X1,X2),X3)=hAPP_f1631501043l_bool(X1,hAPP_a_fun_a_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1330, plain, (hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(X1),X2),X3)=hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1298, plain, (hAPP_p1534023578a_bool(cOMBB_1897541054_pname(X1,X2),X3)=hAPP_a_fun_a_bool(X1,hAPP_pname_a(X2,X3)))).
% 0.47/0.95  cnf(i_0_1075, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)=X1)).
% 0.47/0.95  cnf(i_0_1076, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)=X2)).
% 0.47/0.95  cnf(i_0_1306, plain, (hAPP_a_fun_bool_bool(cOMBB_1972296269bool_a(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_a_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1218, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,X1))))).
% 0.47/0.95  cnf(i_0_1114, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X1))))).
% 0.47/0.95  cnf(i_0_1345, plain, (hAPP_p1824510254l_bool(cOMBB_392435466_pname(X1,X2),X3)=hAPP_f1631501043l_bool(X1,hAPP_p1534023578a_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1296, plain, (hAPP_nat_fun_a_bool(cOMBB_1885489796ol_nat(X1,X2),X3)=hAPP_a_fun_a_bool(X1,hAPP_nat_a(X2,X3)))).
% 0.47/0.95  cnf(i_0_1343, plain, (hAPP_n1414589940l_bool(cOMBB_1823939024ol_nat(X1,X2),X3)=hAPP_f1631501043l_bool(X1,hAPP_nat_fun_a_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1332, plain, (hAPP_f198738859l_bool(cOMBB_338059395a_bool(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_fun_a_bool_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1278, plain, (hAPP_a_bool(cOMBB_bool_bool_a(X1,X2),X3)=hAPP_bool_bool(X1,hAPP_a_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1271, plain, (hAPP_a_bool(hAPP_a_fun_a_bool(cOMBC_a_a_bool(X1),X2),X3)=hAPP_a_bool(hAPP_a_fun_a_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1311, plain, (hAPP_a93125764e_bool(cOMBB_610033911bool_a(X1,X2),X3)=hAPP_p61793385e_bool(X1,hAPP_a_pname(X2,X3)))).
% 0.47/0.95  cnf(i_0_1347, plain, (hAPP_a217006258l_bool(cOMBB_1137537805bool_a(X1,X2),X3)=hAPP_f434788991l_bool(X1,hAPP_a93125764e_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1293, plain, (hAPP_pname_bool(cOMBB_647938656_pname(X1,X2),X3)=hAPP_bool_bool(X1,hAPP_pname_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1329, plain, (hAPP_p61793385e_bool(cOMBB_542850580_pname(X1,X2),X3)=hAPP_p61793385e_bool(X1,hAPP_pname_pname(X2,X3)))).
% 0.47/0.95  cnf(i_0_1297, plain, (hAPP_a_bool(hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(X1),X2),X3)=hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1353, plain, (hAPP_p338031245l_bool(cOMBB_408569982_pname(X1,X2),X3)=hAPP_f434788991l_bool(X1,hAPP_p61793385e_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1288, plain, (hAPP_nat_bool(cOMBB_bool_bool_nat(X1,X2),X3)=hAPP_bool_bool(X1,hAPP_nat_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1323, plain, (hAPP_n1025906991e_bool(cOMBB_1212655066ol_nat(X1,X2),X3)=hAPP_p61793385e_bool(X1,hAPP_nat_pname(X2,X3)))).
% 0.47/0.95  cnf(i_0_1351, plain, (hAPP_n850744903l_bool(cOMBB_2117322052ol_nat(X1,X2),X3)=hAPP_f434788991l_bool(X1,hAPP_n1025906991e_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1333, plain, (hAPP_f1794073134e_bool(cOMBB_1693087065a_bool(X1,X2),X3)=hAPP_p61793385e_bool(X1,hAPP_f1128469712_pname(X2,X3)))).
% 0.47/0.95  cnf(i_0_1324, plain, (hAPP_f1664156314l_bool(cOMBB_307249310e_bool(X1,X2),X3)=hAPP_bool_bool(X1,hAPP_f1664156314l_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1342, plain, (hAPP_f759274231e_bool(cOMBB_598082538e_bool(X1,X2),X3)=hAPP_p61793385e_bool(X1,hAPP_f1297739591_pname(X2,X3)))).
% 0.47/0.95  cnf(i_0_1315, plain, (hAPP_f54304608l_bool(cOMBB_238756964t_bool(X1,X2),X3)=hAPP_bool_bool(X1,hAPP_f54304608l_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1339, plain, (hAPP_f654413245e_bool(cOMBB_141086128t_bool(X1,X2),X3)=hAPP_p61793385e_bool(X1,hAPP_f1291551745_pname(X2,X3)))).
% 0.47/0.95  cnf(i_0_1312, plain, (hAPP_n1699378549t_bool(cOMBB_800536526ol_nat(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_nat_nat(X2,X3)))).
% 0.47/0.95  cnf(i_0_501, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),collect_a(X2))))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),X2)))).
% 0.47/0.95  cnf(i_0_1348, plain, (hAPP_n215258509l_bool(cOMBB_2026977092ol_nat(X1,X2),X3)=hAPP_f103356543l_bool(X1,hAPP_n1699378549t_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1334, plain, (hAPP_f800510211t_bool(cOMBB_1250273980t_bool(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_f22106695ol_nat(X2,X3)))).
% 0.47/0.95  cnf(i_0_1317, plain, (hAPP_p1499970991t_bool(cOMBB_523834888_pname(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_pname_nat(X2,X3)))).
% 0.47/0.95  cnf(i_0_1350, plain, (hAPP_p130839763l_bool(cOMBB_928955006_pname(X1,X2),X3)=hAPP_f103356543l_bool(X1,hAPP_p1499970991t_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1301, plain, (hAPP_a_fun_nat_bool(cOMBB_1321347587bool_a(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_a_nat(X2,X3)))).
% 0.47/0.95  cnf(i_0_1338, plain, (hAPP_f1066163005t_bool(cOMBB_1896684278e_bool(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_f921600141ol_nat(X2,X3)))).
% 0.47/0.95  cnf(i_0_1331, plain, (hAPP_f282463732t_bool(cOMBB_164527437a_bool(X1,X2),X3)=hAPP_n1699378549t_bool(X1,hAPP_fun_a_bool_nat(X2,X3)))).
% 0.47/0.95  cnf(i_0_504, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))).
% 0.47/0.95  cnf(i_0_1316, plain, (hAPP_n1006566506l_bool(cOMBB_1015721476ol_nat(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_nat_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1325, plain, (hAPP_p393069232l_bool(cOMBB_675860798_pname(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_pname_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1346, plain, (hAPP_a1392362872l_bool(cOMBB_743407885bool_a(X1,X2),X3)=hAPP_f103356543l_bool(X1,hAPP_a_fun_nat_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1337, plain, (hAPP_f1748468828l_bool(cOMBB_444170502t_bool(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_f54304608l_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1340, plain, (hAPP_f1476298914l_bool(cOMBB_2095475776e_bool(X1,X2),X3)=hAPP_b589554111l_bool(X1,hAPP_f1664156314l_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1310, plain, (hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(X1),X2),X3)=hAPP_pname_bool(hAPP_f1794073134e_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1280, plain, (hAPP_a_bool(hAPP_p1534023578a_bool(cOMBC_a_pname_bool(X1),X2),X3)=hAPP_pname_bool(hAPP_a93125764e_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1304, plain, (hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(cOMBC_619334683t_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_f282463732t_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1344, plain, (hAPP_fun_a_bool_bool(hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(X1),X2),X3)=hAPP_f621171935l_bool(hAPP_f285962445l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1276, plain, (hAPP_a_bool(hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_a_fun_nat_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1080, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1))))).
% 0.47/0.95  cnf(i_0_1081, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X1),X2))))).
% 0.47/0.95  cnf(i_0_1308, plain, (hAPP_a_bool(hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(X1),X2),X3)=hAPP_f1664156314l_bool(hAPP_a217006258l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_271, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X1)))).
% 0.47/0.95  cnf(i_0_1309, plain, (hAPP_pname_bool(hAPP_f1794073134e_bool(cOMBC_445755039l_bool(X1),X2),X3)=hAPP_fun_a_bool_bool(hAPP_p1824510254l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1302, plain, (hAPP_a_bool(hAPP_f1549043526a_bool(cOMBC_777206479l_bool(X1),X2),X3)=hAPP_f54304608l_bool(hAPP_a1392362872l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1303, plain, (hAPP_nat_bool(hAPP_f282463732t_bool(cOMBC_1928494297l_bool(X1),X2),X3)=hAPP_fun_a_bool_bool(hAPP_n1414589940l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1281, plain, (hAPP_pname_bool(hAPP_a93125764e_bool(cOMBC_pname_a_bool(X1),X2),X3)=hAPP_a_bool(hAPP_p1534023578a_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1295, plain, (hAPP_pname_bool(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(X1),X2),X3)=hAPP_pname_bool(hAPP_p61793385e_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1291, plain, (hAPP_pname_bool(hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_p1499970991t_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1327, plain, (hAPP_pname_bool(hAPP_f759274231e_bool(cOMBC_1058051404l_bool(X1),X2),X3)=hAPP_f1664156314l_bool(hAPP_p338031245l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1319, plain, (hAPP_pname_bool(hAPP_f654413245e_bool(cOMBC_267053842l_bool(X1),X2),X3)=hAPP_f54304608l_bool(hAPP_p130839763l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1287, plain, (hAPP_nat_bool(hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_n1699378549t_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1313, plain, (hAPP_nat_bool(hAPP_f800510211t_bool(cOMBC_226598744l_bool(X1),X2),X3)=hAPP_f54304608l_bool(hAPP_n215258509l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1292, plain, (hAPP_nat_bool(hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(X1),X2),X3)=hAPP_pname_bool(hAPP_n1025906991e_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1277, plain, (hAPP_nat_bool(hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(X1),X2),X3)=hAPP_a_bool(hAPP_nat_fun_a_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1320, plain, (hAPP_nat_bool(hAPP_f1066163005t_bool(cOMBC_386238098l_bool(X1),X2),X3)=hAPP_f1664156314l_bool(hAPP_n850744903l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1328, plain, (hAPP_f1664156314l_bool(hAPP_p338031245l_bool(cOMBC_1004116266e_bool(X1),X2),X3)=hAPP_pname_bool(hAPP_f759274231e_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1321, plain, (hAPP_f1664156314l_bool(hAPP_n850744903l_bool(cOMBC_1666426608t_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_f1066163005t_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1341, plain, (hAPP_f1664156314l_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(X1),X2),X3)=hAPP_f1664156314l_bool(hAPP_f434788991l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1352, plain, (hAPP_f1664156314l_bool(hAPP_f559147733l_bool(cOMBC_1988546018l_bool(X1),X2),X3)=hAPP_f1935102916l_bool(hAPP_f556039215l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1336, plain, (hAPP_f54304608l_bool(hAPP_f103356543l_bool(cOMBC_1693257480l_bool(X1),X2),X3)=hAPP_f54304608l_bool(hAPP_f103356543l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1314, plain, (hAPP_f54304608l_bool(hAPP_n215258509l_bool(cOMBC_385542954t_bool(X1),X2),X3)=hAPP_nat_bool(hAPP_f800510211t_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1349, plain, (hAPP_f54304608l_bool(hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(X1),X2),X3)=hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1322, plain, (hAPP_f54304608l_bool(hAPP_p130839763l_bool(cOMBC_615407716e_bool(X1),X2),X3)=hAPP_pname_bool(hAPP_f654413245e_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1354, plain, (hAPP_f621171935l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(X1),X2),X3)=hAPP_f621171935l_bool(hAPP_f1434722111l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1356, plain, (hAPP_f1935102916l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(X1),X2),X3)=hAPP_f1935102916l_bool(hAPP_f510955609l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1355, plain, (hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(X1),X2),X3)=hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1307, plain, (hAPP_bool_bool(hAPP_f198738859l_bool(X1,X2),hAPP_fun_a_bool_bool(X3,X2))=hAPP_fun_a_bool_bool(cOMBS_1035972772l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1359, hypothesis, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,na),hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u)))))).
% 0.47/0.95  cnf(i_0_1065, plain, (hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(suc,X2))=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1),X2)))).
% 0.47/0.95  cnf(i_0_1279, plain, (hAPP_bool_bool(hAPP_a_fun_bool_bool(X1,X2),hAPP_a_bool(X3,X2))=hAPP_a_bool(cOMBS_a_bool_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1067, plain, (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(suc,X1)),X2)=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1),X2)))).
% 0.47/0.95  cnf(i_0_1360, hypothesis, (hAPP_nat_nat(minus_minus_nat(hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))),hAPP_nat_nat(suc,na))=hAPP_fun_a_bool_nat(finite_card_a,g))).
% 0.47/0.95  cnf(i_0_1294, plain, (hAPP_bool_bool(hAPP_p393069232l_bool(X1,X2),hAPP_pname_bool(X3,X2))=hAPP_pname_bool(cOMBS_568398431l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1290, plain, (hAPP_bool_bool(hAPP_n1006566506l_bool(X1,X2),hAPP_nat_bool(X3,X2))=hAPP_nat_bool(cOMBS_nat_bool_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1326, plain, (hAPP_bool_bool(hAPP_f1476298914l_bool(X1,X2),hAPP_f1664156314l_bool(X3,X2))=hAPP_f1664156314l_bool(cOMBS_350070575l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_1318, plain, (hAPP_bool_bool(hAPP_f1748468828l_bool(X1,X2),hAPP_f54304608l_bool(X3,X2))=hAPP_f54304608l_bool(cOMBS_1187019125l_bool(X1,X3),X2))).
% 0.47/0.95  cnf(i_0_262, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))=hAPP_nat_nat(minus_minus_nat(X1),X2))).
% 0.47/0.95  cnf(i_0_1180, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X2),X1)))))).
% 0.47/0.95  cnf(i_0_1179, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1),X2)))))).
% 0.47/0.95  cnf(i_0_1194, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(suc,X1))))).
% 0.47/0.95  cnf(i_0_1178, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X1),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(ord_less_nat),X2)))))).
% 0.47/0.95  cnf(i_0_905, plain, (hAPP_f103356543l_bool(cOMBC_1693257480l_bool(fequal_fun_nat_bool),X1)=hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))).
% 0.47/0.95  cnf(i_0_902, plain, (hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(fequal_nat),X1)=hAPP_n1699378549t_bool(fequal_nat,X1))).
% 0.47/0.95  cnf(i_0_1077, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3)=hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))).
% 0.47/0.95  cnf(i_0_1072, plain, (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)=hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))).
% 0.47/0.95  cnf(i_0_1079, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X2))=hAPP_nat_nat(minus_minus_nat(X1),X3))).
% 0.47/0.95  cnf(i_0_1078, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X3))=hAPP_nat_nat(minus_minus_nat(X2),X3))).
% 0.47/0.95  cnf(i_0_913, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),bot_bo1389914601l_bool)))=collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1)))).
% 0.47/0.95  cnf(i_0_907, plain, (collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1))=collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1)))).
% 0.47/0.95  cnf(i_0_909, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),bot_bo844097828e_bool)))=collect_pname(hAPP_p61793385e_bool(fequal_pname,X1)))).
% 0.47/0.95  cnf(i_0_912, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),bot_bo1649642514l_bool)))=collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1)))).
% 0.47/0.95  cnf(i_0_903, plain, (collect_pname(hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))=collect_pname(hAPP_p61793385e_bool(fequal_pname,X1)))).
% 0.47/0.95  cnf(i_0_906, plain, (collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1))=collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1)))).
% 0.47/0.95  cnf(i_0_633, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(X1,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_pname_a(X1,X3))))=image_pname_a(X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))).
% 0.47/0.95  cnf(i_0_497, plain, (cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)),hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X2))=cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))),X2))).
% 0.47/0.95  cnf(i_0_911, plain, (cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))),bot_bo1701429464l_bool)=hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))).
% 0.47/0.95  cnf(i_0_500, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X2))).
% 0.47/0.95  cnf(i_0_908, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),bot_bot_fun_nat_bool)=hAPP_n1699378549t_bool(fequal_nat,X1))).
% 0.47/0.95  cnf(i_0_521, plain, (hBOOL(hAPP_nat_bool(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X2),X1)))).
% 0.47/0.95  cnf(i_0_607, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X2))),X1))))).
% 0.47/0.95  cnf(i_0_487, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X2))))).
% 0.47/0.95  cnf(i_0_488, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))))).
% 0.47/0.95  cnf(i_0_606, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))))))).
% 0.47/0.95  cnf(i_0_855, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),hAPP_n1699378549t_bool(fequal_nat,X1))))).
% 0.47/0.95  cnf(i_0_632, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_nat_a(X1,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_nat_a(X1,X3))))=image_nat_a(X1,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X2))),X3)))).
% 0.47/0.95  cnf(i_0_499, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),collect_fun_a_bool(X2))))=collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fimplies,cOMBB_2140588453a_bool(fNot,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1))),X2)))).
% 0.47/0.95  cnf(i_0_496, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),collect_pname(X2))))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),X2)))).
% 0.47/0.95  cnf(i_0_498, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),collec1974731493e_bool(X2))))=collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fimplies,cOMBB_307249310e_bool(fNot,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1))),X2)))).
% 0.47/0.95  cnf(i_0_630, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),hAPP_a_pname(X1,X2))),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),image_a_pname(X1,X3))))=image_a_pname(X1,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))))).
% 0.47/0.95  cnf(i_0_503, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X2))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X2))).
% 0.47/0.95  cnf(i_0_502, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))).
% 0.47/0.95  cnf(i_0_1074, plain, (hAPP_nat_nat(plus_plus_nat(X1),X2)=hAPP_nat_nat(plus_plus_nat(X2),X1))).
% 0.47/0.95  cnf(i_0_1073, plain, (hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3))=hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(plus_plus_nat(X1),X3)))).
% 0.47/0.95  cnf(i_0_507, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3))))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2))),cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))))).
% 0.47/0.95  cnf(i_0_631, plain, (image_a_nat(X1,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3))))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,hAPP_a_nat(X1,X2)))),image_a_nat(X1,X3)))).
% 0.47/0.95  cnf(i_0_843, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),hAPP_n1699378549t_bool(fequal_nat,X2))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X2))),hAPP_n1699378549t_bool(fequal_nat,X1)))).
% 0.47/0.95  cnf(i_0_506, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X2))),X3))=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X2))),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X3)))).
% 0.47/0.95  cnf(i_0_505, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2))),cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))).
% 0.47/0.95  cnf(i_0_1258, plain, (~hBOOL(fFalse))).
% 0.47/0.95  cnf(i_0_201, plain, (hAPP_nat_nat(suc,X1)!=X1)).
% 0.47/0.95  cnf(i_0_1241, plain, (hAPP_nat_nat(suc,X1)!=zero_zero_nat)).
% 0.47/0.95  cnf(i_0_1362, hypothesis, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),g)))).
% 0.47/0.95  cnf(i_0_1363, negated_conjecture, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))))).
% 0.47/0.95  cnf(i_0_754, plain, (~hBOOL(hAPP_nat_bool(bot_bot_fun_nat_bool,X1)))).
% 0.47/0.95  cnf(i_0_743, plain, (~hBOOL(hAPP_f54304608l_bool(bot_bo1701429464l_bool,X1)))).
% 0.47/0.95  cnf(i_0_726, plain, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),bot_bot_fun_a_bool)))).
% 0.47/0.95  cnf(i_0_866, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))!=bot_bot_fun_a_bool)).
% 0.47/0.95  cnf(i_0_1158, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)))).
% 0.47/0.95  cnf(i_0_1216, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)))).
% 0.47/0.95  cnf(i_0_725, plain, (~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),bot_bo844097828e_bool)))).
% 0.47/0.95  cnf(i_0_724, plain, (~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),bot_bot_fun_nat_bool)))).
% 0.47/0.95  cnf(i_0_798, plain, (~hBOOL(bot_bot_bool))).
% 0.47/0.95  cnf(i_0_1127, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)))).
% 0.47/0.95  cnf(i_0_1128, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)))).
% 0.47/0.95  cnf(i_0_864, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))!=bot_bo844097828e_bool)).
% 0.47/0.95  cnf(i_0_865, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X2)!=bot_bot_fun_nat_bool)).
% 0.47/0.95  cnf(i_0_1250, plain, (~hBOOL(hAPP_bool_bool(fNot,X1))|~hBOOL(X1))).
% 0.47/0.95  cnf(i_0_571, plain, (collect_a(X1)=X1|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_801, plain, (hBOOL(bot_bot_bool)|~hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X1)))).
% 0.47/0.95  cnf(i_0_1259, plain, (X1=fTrue|X1=fFalse|~is_bool(X1))).
% 0.47/0.95  cnf(i_0_797, plain, (hBOOL(bot_bot_bool)|~hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1)))).
% 0.47/0.95  cnf(i_0_572, plain, (collect_pname(X1)=X1|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_575, plain, (collect_fun_a_bool(X1)=X1|~is_fun949378684l_bool(X1))).
% 0.47/0.95  cnf(i_0_574, plain, (collec1974731493e_bool(X1)=X1|~is_fun1661590463l_bool(X1))).
% 0.47/0.95  cnf(i_0_5, plain, (is_fun_a_bool(cOMBK_bool_a(X1))|~is_bool(X1))).
% 0.47/0.95  cnf(i_0_26, plain, (is_fun_a_bool(collect_a(X1))|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_770, plain, (collect_a(X1)=bot_bot_fun_a_bool|is_a(esk95_1(X1)))).
% 0.47/0.95  cnf(i_0_6, plain, (is_fun_pname_bool(cOMBK_bool_pname(X1))|~is_bool(X1))).
% 0.47/0.95  cnf(i_0_27, plain, (is_fun_pname_bool(collect_pname(X1))|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_7, plain, (is_fun949378684l_bool(cOMBK_324466864a_bool(X1))|~is_bool(X1))).
% 0.47/0.95  cnf(i_0_28, plain, (is_fun949378684l_bool(collect_fun_a_bool(X1))|~is_fun949378684l_bool(X1))).
% 0.47/0.95  cnf(i_0_759, plain, (collect_pname(X1)=bot_bo844097828e_bool|is_pname(esk91_1(X1)))).
% 0.47/0.95  cnf(i_0_99, plain, (is_fun949378684l_bool(p(X1))|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_8, plain, (is_fun1661590463l_bool(cOMBK_1857069011e_bool(X1))|~is_bool(X1))).
% 0.47/0.95  cnf(i_0_29, plain, (is_fun1661590463l_bool(collec1974731493e_bool(X1))|~is_fun1661590463l_bool(X1))).
% 0.47/0.95  cnf(i_0_800, plain, (hBOOL(hAPP_a_bool(bot_bot_fun_a_bool,X1))|~hBOOL(bot_bot_bool))).
% 0.47/0.95  cnf(i_0_767, plain, (collect_fun_a_bool(X1)=bot_bo1389914601l_bool|is_fun_a_bool(esk94_1(X1)))).
% 0.47/0.95  cnf(i_0_796, plain, (hBOOL(hAPP_pname_bool(bot_bo844097828e_bool,X1))|~hBOOL(bot_bot_bool))).
% 0.47/0.95  cnf(i_0_764, plain, (collec1974731493e_bool(X1)=bot_bo1649642514l_bool|is_fun_pname_bool(esk93_1(X1)))).
% 0.47/0.95  cnf(i_0_812, plain, (X1=bot_bot_fun_a_bool|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),bot_bot_fun_a_bool))|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_751, plain, (collect_a(X1)=bot_bot_fun_a_bool|is_a(esk89_1(X1)))).
% 0.47/0.95  cnf(i_0_1251, plain, (hBOOL(hAPP_bool_bool(fNot,X1))|hBOOL(X1))).
% 0.47/0.95  cnf(i_0_209, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,X2),X1)))))).
% 0.47/0.95  cnf(i_0_740, plain, (collect_pname(X1)=bot_bo844097828e_bool|is_pname(esk85_1(X1)))).
% 0.47/0.95  cnf(i_0_210, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,X1),X2)))))).
% 0.47/0.95  cnf(i_0_9, plain, (is_fun_a_bool(cOMBS_a_bool_bool(X1,X2))|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_748, plain, (collect_fun_a_bool(X1)=bot_bo1389914601l_bool|is_fun_a_bool(esk88_1(X1)))).
% 0.47/0.95  cnf(i_0_34, hypothesis, (is_fun_a_bool(image_pname_a(X1,X2))|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_57, plain, (is_fun_a_bool(hAPP_a_fun_a_bool(X1,X2))|~is_a(X2))).
% 0.47/0.95  cnf(i_0_78, plain, (is_fun_a_bool(hAPP_f2050579477a_bool(X1,X2))|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_80, hypothesis, (is_fun949378684l_bool(hAPP_f1631501043l_bool(X1,X2))|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_745, plain, (collec1974731493e_bool(X1)=bot_bo1649642514l_bool|is_fun_pname_bool(esk87_1(X1)))).
% 0.47/0.95  cnf(i_0_61, hypothesis, (is_a(hAPP_pname_a(X1,X2))|~is_pname(X2))).
% 0.47/0.95  cnf(i_0_877, plain, (X1=bot_bo844097828e_bool|image_pname_a(X2,X1)!=bot_bot_fun_a_bool|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_247, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))).
% 0.47/0.95  cnf(i_0_780, plain, (X1=bot_bot_fun_a_bool|is_a(esk99_1(X1))|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_771, plain, (collect_a(X1)!=bot_bot_fun_a_bool|~hBOOL(hAPP_a_bool(X1,X2))|~is_a(X2))).
% 0.47/0.95  cnf(i_0_760, plain, (collect_pname(X1)!=bot_bo844097828e_bool|~hBOOL(hAPP_pname_bool(X1,X2))|~is_pname(X2))).
% 0.47/0.95  cnf(i_0_1270, plain, (hAPP_pname_a(cOMBK_a_pname(X1),X2)=X1|~is_a(X1))).
% 0.47/0.95  cnf(i_0_1254, plain, (hBOOL(X1)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X2),X1)))).
% 0.47/0.95  cnf(i_0_1253, plain, (hBOOL(X1)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2)))).
% 0.47/0.95  cnf(i_0_1289, plain, (hAPP_fun_a_bool_bool(cOMBK_324466864a_bool(X1),X2)=X1|~is_bool(X1))).
% 0.47/0.95  cnf(i_0_768, plain, (collect_fun_a_bool(X1)!=bot_bo1389914601l_bool|~hBOOL(hAPP_fun_a_bool_bool(X1,X2))|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_765, plain, (collec1974731493e_bool(X1)!=bot_bo1649642514l_bool|~hBOOL(hAPP_f1664156314l_bool(X1,X2))|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_789, plain, (X1=bot_bot_fun_a_bool|is_a(esk102_1(X1))|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_1, plain, (is_fun_a_bool(cOMBB_bool_bool_a(X1,X2))|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_30, plain, (is_fun_a_bool(image_a_a(X1,X2))|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_42, plain, (is_fun_a_bool(image_fun_a_bool_a(X1,X2))|~is_fun949378684l_bool(X2))).
% 0.47/0.95  cnf(i_0_569, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~hBOOL(hAPP_a_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_237, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))))))).
% 0.47/0.95  cnf(i_0_104, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1)))).
% 0.47/0.95  cnf(i_0_1257, plain, (hBOOL(X1)|hBOOL(X2)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2)))).
% 0.47/0.95  cnf(i_0_777, plain, (X1=bot_bo844097828e_bool|is_pname(esk98_1(X1))|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_44, plain, (is_fun_a_bool(image_876012084bool_a(X1,X2))|~is_fun1661590463l_bool(X2))).
% 0.47/0.95  cnf(i_0_64, plain, (is_fun_a_bool(hAPP_p1534023578a_bool(X1,X2))|~is_pname(X2))).
% 0.47/0.95  cnf(i_0_83, plain, (is_fun_a_bool(hAPP_f1051908748a_bool(X1,X2))|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_2, plain, (is_fun_pname_bool(cOMBB_647938656_pname(X1,X2))|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_616, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))),X2)))).
% 0.47/0.95  cnf(i_0_786, plain, (X1=bot_bo844097828e_bool|is_pname(esk101_1(X1))|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_10, plain, (is_fun_pname_bool(cOMBS_568398431l_bool(X1,X2))|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_31, plain, (is_fun_pname_bool(image_a_pname(X1,X2))|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_35, plain, (is_fun_pname_bool(image_pname_pname(X1,X2))|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_43, plain, (is_fun_pname_bool(image_1854862208_pname(X1,X2))|~is_fun949378684l_bool(X2))).
% 0.47/0.95  cnf(i_0_570, plain, (hBOOL(hAPP_a_bool(X1,X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X1)))).
% 0.47/0.95  cnf(i_0_810, plain, (~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),bot_bot_bool))|~hBOOL(X1))).
% 0.47/0.95  cnf(i_0_1269, plain, (hAPP_a_bool(cOMBK_bool_a(X1),X2)=X1|~is_bool(X1))).
% 0.47/0.95  cnf(i_0_45, plain, (is_fun_pname_bool(image_1283814551_pname(X1,X2))|~is_fun1661590463l_bool(X2))).
% 0.47/0.95  cnf(i_0_58, plain, (is_fun_pname_bool(hAPP_a93125764e_bool(X1,X2))|~is_a(X2))).
% 0.47/0.95  cnf(i_0_65, plain, (is_fun_pname_bool(hAPP_p61793385e_bool(X1,X2))|~is_pname(X2))).
% 0.47/0.95  cnf(i_0_79, plain, (is_fun_pname_bool(hAPP_f1794073134e_bool(X1,X2))|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_1262, plain, (hBOOL(X1)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X2),X1))|~hBOOL(X2))).
% 0.47/0.95  cnf(i_0_126, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_811, plain, (X1=bot_bot_fun_nat_bool|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),bot_bot_fun_nat_bool)))).
% 0.47/0.95  cnf(i_0_1275, plain, (hAPP_pname_bool(cOMBK_bool_pname(X1),X2)=X1|~is_bool(X1))).
% 0.47/0.95  cnf(i_0_84, plain, (is_fun_pname_bool(hAPP_f759274231e_bool(X1,X2))|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_3, plain, (is_fun949378684l_bool(cOMBB_2140588453a_bool(X1,X2))|~is_fun949378684l_bool(X2))).
% 0.47/0.95  cnf(i_0_11, plain, (is_fun949378684l_bool(cOMBS_1035972772l_bool(X1,X2))|~is_fun949378684l_bool(X2))).
% 0.47/0.95  cnf(i_0_32, plain, (is_fun949378684l_bool(image_a_fun_a_bool(X1,X2))|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_813, plain, (X1=zero_zero_nat|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat)))).
% 0.47/0.95  cnf(i_0_1272, plain, (hAPP_nat_bool(cOMBK_bool_nat(X1),X2)=X1|~is_bool(X1))).
% 0.47/0.95  cnf(i_0_36, plain, (is_fun949378684l_bool(image_112932426a_bool(X1,X2))|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_59, hypothesis, (is_fun949378684l_bool(hAPP_a85458249l_bool(X1,X2))|~is_a(X2))).
% 0.47/0.95  cnf(i_0_66, plain, (is_fun949378684l_bool(hAPP_p1824510254l_bool(X1,X2))|~is_pname(X2))).
% 0.47/0.95  cnf(i_0_91, plain, (is_fun949378684l_bool(hAPP_f2117159681l_bool(X1,X2))|~is_fun949378684l_bool(X2))).
% 0.47/0.95  cnf(i_0_1265, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fequal_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_1282, plain, (X1=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(fequal_fun_nat_bool,X1),X2)))).
% 0.47/0.95  cnf(i_0_1256, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))|~hBOOL(X2))).
% 0.47/0.95  cnf(i_0_1300, plain, (hAPP_f1664156314l_bool(cOMBK_1857069011e_bool(X1),X2)=X1|~is_bool(X1))).
% 0.47/0.95  cnf(i_0_4, plain, (is_fun1661590463l_bool(cOMBB_307249310e_bool(X1,X2))|~is_fun1661590463l_bool(X2))).
% 0.47/0.95  cnf(i_0_12, plain, (is_fun1661590463l_bool(cOMBS_350070575l_bool(X1,X2))|~is_fun1661590463l_bool(X2))).
% 0.47/0.95  cnf(i_0_33, plain, (is_fun1661590463l_bool(image_819518260e_bool(X1,X2))|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_37, plain, (is_fun1661590463l_bool(image_47868345e_bool(X1,X2))|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_1255, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fdisj,X1),X2))|~hBOOL(X1))).
% 0.47/0.95  cnf(i_0_60, plain, (is_fun1661590463l_bool(hAPP_a217006258l_bool(X1,X2))|~is_a(X2))).
% 0.47/0.95  cnf(i_0_67, hypothesis, (is_fun1661590463l_bool(hAPP_p338031245l_bool(X1,X2))|~is_pname(X2))).
% 0.47/0.95  cnf(i_0_85, plain, (is_fun1661590463l_bool(hAPP_f434788991l_bool(X1,X2))|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_93, plain, (is_fun1661590463l_bool(hAPP_f559147733l_bool(X1,X2))|~is_fun1661590463l_bool(X2))).
% 0.47/0.95  cnf(i_0_68, plain, (is_bool(hAPP_bool_bool(X1,X2))|~is_bool(X2))).
% 0.47/0.95  cnf(i_0_90, plain, (is_bool(hAPP_f621171935l_bool(X1,X2))|~is_fun949378684l_bool(X2))).
% 0.47/0.95  cnf(i_0_92, plain, (is_bool(hAPP_f1935102916l_bool(X1,X2))|~is_fun1661590463l_bool(X2))).
% 0.47/0.95  cnf(i_0_54, plain, (is_a(hAPP_a_a(X1,X2))|~is_a(X2))).
% 0.47/0.95  cnf(i_0_55, plain, (is_pname(hAPP_a_pname(X1,X2))|~is_a(X2))).
% 0.47/0.95  cnf(i_0_62, plain, (is_pname(hAPP_pname_pname(X1,X2))|~is_pname(X2))).
% 0.47/0.95  cnf(i_0_1299, plain, (hAPP_f54304608l_bool(cOMBK_1994329625t_bool(X1),X2)=X1|~is_bool(X1))).
% 0.47/0.95  cnf(i_0_76, plain, (is_pname(hAPP_f1128469712_pname(X1,X2))|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_81, plain, (is_pname(hAPP_f1297739591_pname(X1,X2))|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_197, plain, (X1=X2|hAPP_nat_nat(suc,X1)!=hAPP_nat_nat(suc,X2))).
% 0.47/0.95  cnf(i_0_77, hypothesis, (is_bool(hAPP_fun_a_bool_bool(X1,X2))|~is_fun949378684l_bool(X1)|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_808, plain, (X1=bot_bo844097828e_bool|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),bot_bo844097828e_bool))|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_56, plain, (is_bool(hAPP_a_bool(X1,X2))|~is_a(X2)|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_63, plain, (is_bool(hAPP_pname_bool(X1,X2))|~is_pname(X2)|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_82, hypothesis, (is_bool(hAPP_f1664156314l_bool(X1,X2))|~is_fun1661590463l_bool(X1)|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_766, plain, (collect_fun_a_bool(X1)=bot_bo1389914601l_bool|hBOOL(hAPP_fun_a_bool_bool(X1,esk94_1(X1))))).
% 0.47/0.95  cnf(i_0_747, plain, (collect_fun_a_bool(X1)=bot_bo1389914601l_bool|hBOOL(hAPP_fun_a_bool_bool(X1,esk88_1(X1))))).
% 0.47/0.95  cnf(i_0_753, plain, (X1=bot_bot_fun_nat_bool|hBOOL(hAPP_nat_bool(X1,esk90_1(X1))))).
% 0.47/0.95  cnf(i_0_742, plain, (X1=bot_bo1701429464l_bool|hBOOL(hAPP_f54304608l_bool(X1,esk86_1(X1))))).
% 0.47/0.95  cnf(i_0_677, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk71_2(X2,X1)),X2)))).
% 0.47/0.95  cnf(i_0_617, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))),X2)))).
% 0.47/0.95  cnf(i_0_132, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))).
% 0.47/0.95  cnf(i_0_772, plain, (bot_bot_fun_nat_bool=X1|hBOOL(hAPP_nat_bool(X1,esk96_1(X1))))).
% 0.47/0.95  cnf(i_0_761, plain, (bot_bo1701429464l_bool=X1|hBOOL(hAPP_f54304608l_bool(X1,esk92_1(X1))))).
% 0.47/0.95  cnf(i_0_1071, plain, (X1=X2|hAPP_nat_nat(plus_plus_nat(X3),X1)!=hAPP_nat_nat(plus_plus_nat(X3),X2))).
% 0.47/0.95  cnf(i_0_1069, plain, (X1=X2|hAPP_nat_nat(plus_plus_nat(X1),X3)!=hAPP_nat_nat(plus_plus_nat(X2),X3))).
% 0.47/0.95  cnf(i_0_566, plain, (hBOOL(hAPP_nat_bool(X1,X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X1)))).
% 0.47/0.95  cnf(i_0_1273, plain, (X1=X2|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1),X2))|~is_fun_a_bool(X2)|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_769, plain, (collect_a(X1)=bot_bot_fun_a_bool|hBOOL(hAPP_a_bool(X1,esk95_1(X1))))).
% 0.47/0.95  cnf(i_0_295, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_pname_a(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))).
% 0.47/0.95  cnf(i_0_750, plain, (collect_a(X1)=bot_bot_fun_a_bool|hBOOL(hAPP_a_bool(X1,esk89_1(X1))))).
% 0.47/0.95  cnf(i_0_758, plain, (collect_pname(X1)=bot_bo844097828e_bool|hBOOL(hAPP_pname_bool(X1,esk91_1(X1))))).
% 0.47/0.95  cnf(i_0_1263, plain, (X1=X2|~hBOOL(hAPP_a_bool(hAPP_a_fun_a_bool(fequal_a,X1),X2))|~is_a(X2)|~is_a(X1))).
% 0.47/0.95  cnf(i_0_1267, plain, (X1=X2|~hBOOL(hAPP_pname_bool(hAPP_p61793385e_bool(fequal_pname,X1),X2))|~is_pname(X2)|~is_pname(X1))).
% 0.47/0.95  cnf(i_0_568, plain, (hBOOL(hAPP_pname_bool(X1,X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X1)))).
% 0.47/0.95  cnf(i_0_567, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~hBOOL(hAPP_pname_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_763, plain, (collec1974731493e_bool(X1)=bot_bo1649642514l_bool|hBOOL(hAPP_f1664156314l_bool(X1,esk93_1(X1))))).
% 0.47/0.95  cnf(i_0_272, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_a_a(X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))).
% 0.47/0.95  cnf(i_0_626, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X3)))).
% 0.47/0.95  cnf(i_0_182, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,X1),X2))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X2))))).
% 0.47/0.95  cnf(i_0_183, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,X1),X2))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1))))).
% 0.47/0.95  cnf(i_0_739, plain, (collect_pname(X1)=bot_bo844097828e_bool|hBOOL(hAPP_pname_bool(X1,esk85_1(X1))))).
% 0.47/0.95  cnf(i_0_744, plain, (collec1974731493e_bool(X1)=bot_bo1649642514l_bool|hBOOL(hAPP_f1664156314l_bool(X1,esk87_1(X1))))).
% 0.47/0.95  cnf(i_0_1143, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)))).
% 0.47/0.95  cnf(i_0_114, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_1261, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))|~hBOOL(X2))).
% 0.47/0.95  cnf(i_0_679, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|is_a(esk71_2(X2,X1)))).
% 0.47/0.95  cnf(i_0_716, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|is_a(esk84_2(X1,X2)))).
% 0.47/0.95  cnf(i_0_258, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))).
% 0.47/0.95  cnf(i_0_1228, plain, (X1=zero_zero_nat|X2=zero_zero_nat|hAPP_nat_nat(plus_plus_nat(X1),X2)!=one_one_nat)).
% 0.47/0.95  cnf(i_0_925, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2)))).
% 0.47/0.95  cnf(i_0_208, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,X1),X2))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(X1))))).
% 0.47/0.95  cnf(i_0_1260, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fimplies,X1),X2))|hBOOL(X1))).
% 0.47/0.95  cnf(i_0_1236, plain, (X1=X2|hAPP_nat_nat(minus_minus_nat(X2),X1)!=zero_zero_nat|hAPP_nat_nat(minus_minus_nat(X1),X2)!=zero_zero_nat)).
% 0.47/0.95  cnf(i_0_1284, plain, (X1=X2|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1),X2))|~is_fun_pname_bool(X2)|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_281, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_nat_a(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_275, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_fun_a_bool_a(X2,X3)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))).
% 0.47/0.95  cnf(i_0_274, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_876012084bool_a(X2,X3)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))).
% 0.47/0.95  cnf(i_0_273, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_fun_nat_bool_a(X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_1234, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|hAPP_nat_nat(minus_minus_nat(X1),X2)!=zero_zero_nat)).
% 0.47/0.95  cnf(i_0_48, hypothesis, (is_fun_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))|~is_a(X1)|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_1208, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk130_2(X2,X1)),X2)))).
% 0.47/0.95  cnf(i_0_704, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk80_2(X1,X2)),X2)))).
% 0.47/0.95  cnf(i_0_1060, plain, (hBOOL(wt(the_com(body(X1))))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),u)))).
% 0.47/0.95  cnf(i_0_537, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))=X2|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_118, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))).
% 0.47/0.95  cnf(i_0_122, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))).
% 0.47/0.95  cnf(i_0_1174, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk124_2(X1,X2)),X2)))).
% 0.47/0.95  cnf(i_0_1232, plain, (hAPP_nat_nat(minus_minus_nat(X1),X2)=zero_zero_nat|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_224, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X2),X1))))).
% 0.47/0.95  cnf(i_0_1252, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,X1),X2))|~hBOOL(X2)|~hBOOL(X1))).
% 0.47/0.95  cnf(i_0_980, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|~hBOOL(X2)|~hBOOL(X1))).
% 0.47/0.95  cnf(i_0_1227, plain, (X1=one_one_nat|X1=zero_zero_nat|hAPP_nat_nat(plus_plus_nat(X2),X1)!=one_one_nat)).
% 0.47/0.95  cnf(i_0_225, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X1),X2))))).
% 0.47/0.95  cnf(i_0_212, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X2),X1))))).
% 0.47/0.95  cnf(i_0_213, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X1),X2))))).
% 0.47/0.95  cnf(i_0_894, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,X1)),X2))=bot_bot_fun_a_bool|hBOOL(hAPP_a_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_1230, plain, (X1=one_one_nat|X1=zero_zero_nat|hAPP_nat_nat(plus_plus_nat(X1),X2)!=one_one_nat)).
% 0.47/0.95  cnf(i_0_1146, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_108, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(ord_le1311769555a_bool),X1))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1)))).
% 0.47/0.95  cnf(i_0_882, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),X2))=bot_bot_fun_a_bool|hBOOL(hAPP_a_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_471, plain, (X1=X2|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~is_fun_a_bool(X2)|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_248, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_249, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_246, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_121, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_120, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_119, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_123, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_1229, plain, (X1=one_one_nat|X2=one_one_nat|hAPP_nat_nat(plus_plus_nat(X2),X1)!=one_one_nat)).
% 0.47/0.95  cnf(i_0_245, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_244, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_124, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_125, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_113, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_117, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_650, plain, (is_fun_a_bool(esk62_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_a_nat(X2,X3))))).
% 0.47/0.95  cnf(i_0_668, plain, (is_a(esk67_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),image_a_nat(X2,X3))))).
% 0.47/0.95  cnf(i_0_665, plain, (is_pname(esk66_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),image_pname_nat(X2,X3))))).
% 0.47/0.95  cnf(i_0_565, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_nat_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_112, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_116, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_111, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_115, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_779, plain, (X1=bot_bot_fun_a_bool|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk99_1(X1)),X1))|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_788, plain, (X1=bot_bot_fun_a_bool|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk102_1(X1)),X1))|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_816, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),bot_bot_bool))|hBOOL(X1))).
% 0.47/0.95  cnf(i_0_979, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|hBOOL(X1)|hBOOL(X2))).
% 0.47/0.95  cnf(i_0_774, plain, (X1=bot_bot_fun_nat_bool|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk97_1(X1)),X1)))).
% 0.47/0.95  cnf(i_0_783, plain, (X1=bot_bot_fun_nat_bool|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk100_1(X1)),X1)))).
% 0.47/0.95  cnf(i_0_836, plain, (X1=X2|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(hAPP_a_fun_a_bool(fequal_a,X2))))|~is_a(X2)|~is_a(X1))).
% 0.47/0.95  cnf(i_0_676, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|is_pname(esk70_2(X2,X1)))).
% 0.47/0.95  cnf(i_0_711, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|is_pname(esk82_2(X1,X2)))).
% 0.47/0.95  cnf(i_0_480, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X3)))).
% 0.47/0.95  cnf(i_0_623, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X3),X1))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))))).
% 0.47/0.95  cnf(i_0_658, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X1,X2)),image_pname_a(X1,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)))).
% 0.47/0.95  cnf(i_0_678, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk71_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X1)))).
% 0.47/0.95  cnf(i_0_615, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3)))).
% 0.47/0.95  cnf(i_0_202, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_833, plain, (X1=X2|collect_a(hAPP_a_fun_a_bool(fequal_a,X1))!=collect_a(hAPP_a_fun_a_bool(fequal_a,X2))|~is_a(X2)|~is_a(X1))).
% 0.47/0.95  cnf(i_0_474, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2)))).
% 0.47/0.95  cnf(i_0_696, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X1,X2)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1,esk78_3(X1,X3,X2))),X3)))).
% 0.47/0.95  cnf(i_0_698, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X1,X2)),X3))|is_pname(esk78_3(X1,X3,X2)))).
% 0.47/0.95  cnf(i_0_451, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|is_a(esk52_2(X2,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(X2,X1))))).
% 0.47/0.95  cnf(i_0_470, plain, (X1=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2)))).
% 0.47/0.95  cnf(i_0_629, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3)))).
% 0.47/0.95  cnf(i_0_654, plain, (is_fun_pname_bool(esk63_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_pname_a(X2,X3)))|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_110, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,hAPP_f103356543l_bool(cOMBC_1693257480l_bool(ord_le1568362934t_bool),X1)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)))).
% 0.47/0.95  cnf(i_0_221, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X2),X1)))))).
% 0.47/0.95  cnf(i_0_1192, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))).
% 0.47/0.95  cnf(i_0_646, plain, (is_fun_a_bool(esk61_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_a_pname(X2,X3)))|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_222, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2)))))).
% 0.47/0.95  cnf(i_0_218, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X1)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,X2),X1)))))).
% 0.47/0.95  cnf(i_0_219, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X1)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,X1),X2)))))).
% 0.47/0.95  cnf(i_0_215, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X2),X1)))))).
% 0.47/0.95  cnf(i_0_589, plain, (is_pname(esk59_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X3)))|~is_a(X1))).
% 0.47/0.95  cnf(i_0_671, plain, (is_pname(esk68_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X3)))|~is_a(X1))).
% 0.47/0.95  cnf(i_0_926, plain, (hBOOL(X1)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X2),X1))|~hBOOL(X2))).
% 0.47/0.95  cnf(i_0_216, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2)))))).
% 0.47/0.95  cnf(i_0_463, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|is_pname(esk56_2(X2,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X2,X1))))).
% 0.47/0.95  cnf(i_0_594, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1,X2)),image_pname_a(X1,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)))).
% 0.47/0.95  cnf(i_0_404, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|is_a(esk34_2(X2,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X2,X1))))).
% 0.47/0.95  cnf(i_0_420, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|is_a(esk40_2(X2,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X2,X1))))).
% 0.47/0.95  cnf(i_0_454, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|is_a(esk53_2(X2,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(X2,X1))))).
% 0.47/0.95  cnf(i_0_457, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|is_a(esk54_2(X2,X1))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(X2,X1))))).
% 0.47/0.95  cnf(i_0_674, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk70_2(X2,X1)),X2)))).
% 0.47/0.95  cnf(i_0_672, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk69_2(X2,X1)),X2)))).
% 0.47/0.95  cnf(i_0_460, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|is_a(esk55_2(X2,X1))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(X2,X1))))).
% 0.47/0.95  cnf(i_0_524, plain, (hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))),X1))|~is_a(X1))).
% 0.47/0.95  cnf(i_0_287, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_a_pname(X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))).
% 0.47/0.95  cnf(i_0_279, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_pname_pname(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))).
% 0.47/0.95  cnf(i_0_285, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_nat_pname(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_290, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1854862208_pname(X2,X3)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))).
% 0.47/0.95  cnf(i_0_289, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1283814551_pname(X2,X3)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))).
% 0.47/0.95  cnf(i_0_291, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_a_nat(X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))).
% 0.47/0.95  cnf(i_0_916, plain, (X1=collect_a(hAPP_a_fun_a_bool(fequal_a,X2))|X1=bot_bot_fun_a_bool|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),collect_a(hAPP_a_fun_a_bool(fequal_a,X2))))|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_895, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(fequal_a,X1)),X2))=collect_a(hAPP_a_fun_a_bool(fequal_a,X1))|~hBOOL(hAPP_a_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_883, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),X2))=collect_a(hAPP_a_fun_a_bool(fequal_a,X1))|~hBOOL(hAPP_a_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_288, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_1921560913_pname(X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_280, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_pname_nat(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))).
% 0.47/0.95  cnf(i_0_286, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_nat_nat(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_294, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_fun_a_bool_nat(X2,X3)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))).
% 0.47/0.95  cnf(i_0_859, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(hAPP_a_fun_a_bool(fequal_a,X1))))|~is_a(X1))).
% 0.47/0.95  cnf(i_0_1186, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))))).
% 0.47/0.95  cnf(i_0_293, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_1551609309ol_nat(X2,X3)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))).
% 0.47/0.95  cnf(i_0_292, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_496248727ol_nat(X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_278, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1),image_112932426a_bool(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))).
% 0.47/0.95  cnf(i_0_284, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1),image_nat_fun_a_bool(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_277, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),image_47868345e_bool(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))).
% 0.47/0.95  cnf(i_0_283, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),image_1655916159e_bool(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_276, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1),image_2129980159t_bool(X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))).
% 0.47/0.95  cnf(i_0_282, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1),image_26036933t_bool(X2,X3)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_1130, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)))).
% 0.47/0.95  cnf(i_0_652, plain, (image_pname_a(X1,esk63_3(X2,X1,X3))=X2|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),image_pname_a(X1,X3)))|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_918, plain, (image_pname_a(cOMBK_a_pname(X1),X2)=collect_a(hAPP_a_fun_a_bool(fequal_a,X1))|X2=bot_bo844097828e_bool|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_523, plain, (hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))),X3))|~hBOOL(hAPP_a_bool(X2,X3))|~is_a(X1)|~is_a(X3))).
% 0.47/0.95  cnf(i_0_314, plain, (is_fun_a_bool(esk5_3(X1,X2,X3))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_a_fun_nat_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_356, plain, (is_fun_pname_bool(esk16_3(X1,X2,X3))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_2129980159t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_415, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|is_fun_a_bool(esk38_2(X2,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X2,X1))))).
% 0.47/0.95  cnf(i_0_308, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk4_3(X1,X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_a_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_776, plain, (X1=bot_bo844097828e_bool|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk98_1(X1)),X1))|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_785, plain, (X1=bot_bo844097828e_bool|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk101_1(X1)),X1))|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_431, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|is_fun_a_bool(esk44_2(X2,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X2,X1))))).
% 0.47/0.95  cnf(i_0_412, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|is_fun_pname_bool(esk37_2(X2,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X2,X1))))).
% 0.47/0.95  cnf(i_0_428, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|is_fun_pname_bool(esk43_2(X2,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X2,X1))))).
% 0.47/0.95  cnf(i_0_407, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|is_pname(esk35_2(X2,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X2,X1))))).
% 0.47/0.95  cnf(i_0_423, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|is_pname(esk41_2(X2,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(X2,X1))))).
% 0.47/0.95  cnf(i_0_442, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|is_pname(esk49_2(X2,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X2,X1))))).
% 0.47/0.95  cnf(i_0_445, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|is_pname(esk50_2(X2,X1))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X2,X1))))).
% 0.47/0.95  cnf(i_0_448, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|is_pname(esk51_2(X2,X1))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X2,X1))))).
% 0.47/0.95  cnf(i_0_341, plain, (is_fun_a_bool(esk12_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_a_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_372, plain, (is_fun_pname_bool(esk20_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_pname_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_352, plain, (is_fun949378684l_bool(esk15_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_fun_a_bool_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_348, plain, (is_fun1661590463l_bool(esk14_3(X1,X2,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_1551609309ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_694, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(X1,X2)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(X1,esk77_3(X1,X3,X2))),X3)))).
% 0.47/0.95  cnf(i_0_109, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(hAPP_f434788991l_bool(cOMBC_1284144636l_bool(ord_le313189616e_bool),X1))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)))).
% 0.47/0.95  cnf(i_0_107, plain, (hBOOL(hAPP_f292226953l_bool(finite1381704300l_bool,collec707592106l_bool(hAPP_f1434722111l_bool(cOMBC_331553030l_bool(ord_le1375614389l_bool),X1))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1)))).
% 0.47/0.95  cnf(i_0_896, plain, (cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)),X2)=bot_bo1701429464l_bool|hBOOL(hAPP_f54304608l_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_1090, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X3),X1)),X2)))).
% 0.47/0.95  cnf(i_0_1091, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)))).
% 0.47/0.95  cnf(i_0_890, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,X1)),X2)=bot_bot_fun_nat_bool|hBOOL(hAPP_nat_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_106, plain, (hBOOL(hAPP_f389811538l_bool(finite786885583l_bool,collec1613912337l_bool(hAPP_f510955609l_bool(cOMBC_7971162l_bool(ord_le675606854l_bool),X1))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)))).
% 0.47/0.95  cnf(i_0_105, plain, (hBOOL(hAPP_f937997336l_bool(finite1701474069l_bool,collec1015864663l_bool(hAPP_f1772781669l_bool(cOMBC_595898202l_bool(ord_le1454342156l_bool),X1))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1)))).
% 0.47/0.95  cnf(i_0_192, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X1),X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_193, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,X1),X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)))).
% 0.47/0.95  cnf(i_0_1119, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)))).
% 0.47/0.95  cnf(i_0_1083, plain, (hAPP_nat_nat(plus_plus_nat(X1),esk122_2(X1,X2))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_486, plain, (hAPP_nat_nat(suc,esk58_2(X1,X2))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_184, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,X1),X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_185, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,X1),X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1)))).
% 0.47/0.95  cnf(i_0_394, plain, (is_fun_pname_bool(esk27_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_pname_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_649, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk62_3(X1,X2,X3)),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),image_a_nat(X2,X3))))).
% 0.47/0.95  cnf(i_0_1212, plain, (hAPP_nat_nat(suc,esk133_2(X1,X2))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)))).
% 0.47/0.95  cnf(i_0_648, plain, (image_a_nat(X1,esk62_3(X2,X1,X3))=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),image_a_nat(X1,X3))))).
% 0.47/0.95  cnf(i_0_667, plain, (hAPP_a_nat(X1,esk67_3(X2,X1,X3))=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),image_a_nat(X1,X3))))).
% 0.47/0.95  cnf(i_0_664, plain, (hAPP_pname_nat(X1,esk66_3(X2,X1,X3))=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),image_pname_nat(X1,X3))))).
% 0.47/0.95  cnf(i_0_900, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fequal_fun_a_bool,X1)),X2))=bot_bo1389914601l_bool|hBOOL(hAPP_fun_a_bool_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_587, plain, (hAPP_pname_a(X1,esk59_3(X2,X1,X3))=X2|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),image_pname_a(X1,X3)))|~is_a(X2))).
% 0.47/0.95  cnf(i_0_670, plain, (hAPP_pname_a(X1,esk68_3(X2,X1,X3))=X2|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),image_pname_a(X1,X3)))|~is_a(X2))).
% 0.47/0.95  cnf(i_0_525, plain, (X1=X2|hBOOL(hAPP_a_bool(X3,X2))|~hBOOL(hAPP_a_bool(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3))),X2))|~is_a(X2)|~is_a(X1))).
% 0.47/0.95  cnf(i_0_1209, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk130_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_318, plain, (is_fun_a_bool(esk6_3(X1,X2,X3))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_819518260e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3))).
% 0.47/0.95  cnf(i_0_322, plain, (is_fun_a_bool(esk7_3(X1,X2,X3))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_a_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3))).
% 0.47/0.95  cnf(i_0_360, plain, (is_fun_pname_bool(esk17_3(X1,X2,X3))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_47868345e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3))).
% 0.47/0.95  cnf(i_0_364, plain, (is_fun_pname_bool(esk18_3(X1,X2,X3))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_112932426a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3))).
% 0.47/0.95  cnf(i_0_705, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk80_2(X1,X2)),X1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)))).
% 0.47/0.95  cnf(i_0_657, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(X1,X2)),image_nat_a(X1,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3)))).
% 0.47/0.95  cnf(i_0_450, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk52_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(X1,X2))))).
% 0.47/0.95  cnf(i_0_1147, plain, (X1=X2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_1175, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk124_2(X1,X2)),X1))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)))).
% 0.47/0.95  cnf(i_0_484, plain, (hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(X1,esk57_3(X3,X1,X2)))|~hBOOL(hAPP_nat_bool(X1,X2)))).
% 0.47/0.95  cnf(i_0_1204, plain, (hBOOL(hAPP_nat_bool(X1,X2))|~hBOOL(hAPP_nat_bool(X1,esk128_3(X1,X2,X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))|~hBOOL(hAPP_nat_bool(X1,X3)))).
% 0.47/0.95  cnf(i_0_1058, plain, (hBOOL(hAPP_f621171935l_bool(X1,X2))|is_fun_a_bool(esk119_2(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_1052, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|is_fun_pname_bool(esk117_2(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_639, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(X1,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_pname_a(X1,X3))))=image_pname_a(X1,X3)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)))).
% 0.47/0.95  cnf(i_0_310, plain, (is_fun_a_bool(esk4_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_a_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_306, plain, (is_fun949378684l_bool(esk3_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_a_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_688, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X1,X2)),X3))|is_a(esk74_3(X1,X3,X2)))).
% 0.47/0.95  cnf(i_0_1057, plain, (hBOOL(hAPP_f621171935l_bool(X1,X2))|is_fun949378684l_bool(esk120_2(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_1051, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|is_fun1661590463l_bool(esk118_2(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_326, plain, (is_fun_a_bool(esk8_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_a_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_368, plain, (is_fun_pname_bool(esk19_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_pname_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_691, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X1,X2)),X3))|is_a(esk75_3(X1,X3,X2)))).
% 0.47/0.95  cnf(i_0_302, plain, (is_fun1661590463l_bool(esk2_3(X1,X2,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_876012084bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_483, plain, (X1=X2|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X3)))))|~is_a(X2)|~is_a(X1))).
% 0.47/0.95  cnf(i_0_304, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk3_3(X1,X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_a_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_682, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(X1,X2)),X3))|is_pname(esk72_3(X1,X3,X2)))).
% 0.47/0.95  cnf(i_0_337, plain, (is_fun949378684l_bool(esk11_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1854862208_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_333, plain, (is_fun1661590463l_bool(esk10_3(X1,X2,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1283814551_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_469, plain, (X1=X2|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~is_fun_pname_bool(X2)|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_685, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(X1,X2)),X3))|is_pname(esk73_3(X1,X3,X2)))).
% 0.47/0.95  cnf(i_0_300, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk2_3(X1,X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_876012084bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_223, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,X1),X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)))).
% 0.47/0.95  cnf(i_0_211, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fdisj,X1),X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1)))).
% 0.47/0.95  cnf(i_0_403, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk34_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X1,X2))))).
% 0.47/0.95  cnf(i_0_419, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk40_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X1,X2))))).
% 0.47/0.95  cnf(i_0_453, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk53_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(X1,X2))))).
% 0.47/0.95  cnf(i_0_456, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk54_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(X1,X2))))).
% 0.47/0.95  cnf(i_0_459, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk55_2(X1,X2)),X2))|hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(X1,X2))))).
% 0.47/0.95  cnf(i_0_1195, plain, (hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X1))=X2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)))).
% 0.47/0.95  cnf(i_0_1129, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2))))).
% 0.47/0.95  cnf(i_0_267, plain, (X1=X2|hAPP_nat_nat(minus_minus_nat(X1),X3)!=hAPP_nat_nat(minus_minus_nat(X2),X3)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X1)))).
% 0.47/0.95  cnf(i_0_391, plain, (image_pname_a(X1,esk27_3(X1,X2,X3))=X3|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_pname_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_309, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk4_3(X1,X2,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_a_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_252, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_892, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X2))=bot_bo844097828e_bool|hBOOL(hAPP_pname_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_644, plain, (image_a_pname(X1,esk61_3(X2,X1,X3))=X2|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),image_a_pname(X1,X3)))|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_641, plain, (image_nat_a(X1,esk60_3(X2,X1,X3))=X2|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),image_nat_a(X1,X3)))|~is_fun_a_bool(X2))).
% 0.47/0.95  cnf(i_0_662, plain, (hAPP_nat_a(X1,esk65_3(X2,X1,X3))=X2|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),image_nat_a(X1,X3)))|~is_a(X2))).
% 0.47/0.95  cnf(i_0_660, plain, (hAPP_nat_pname(X1,esk64_3(X2,X1,X3))=X2|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),image_nat_pname(X1,X3)))|~is_pname(X2))).
% 0.47/0.95  cnf(i_0_898, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X2))=bot_bo1649642514l_bool|hBOOL(hAPP_f1664156314l_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_1185, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_1134, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_888, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),X2))=bot_bo1389914601l_bool|hBOOL(hAPP_fun_a_bool_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_1131, plain, (X1=X2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2))))).
% 0.47/0.95  cnf(i_0_268, plain, (hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(minus_minus_nat(X1),X2))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))).
% 0.47/0.95  cnf(i_0_175, plain, (hAPP_fun_a_bool_nat(finite_card_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))=hAPP_fun_a_bool_nat(finite_card_a,X2)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))).
% 0.47/0.95  cnf(i_0_1063, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_eq_nat,X1)),X2)))).
% 0.47/0.95  cnf(i_0_1103, plain, (hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X1))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_917, plain, (image_pname_a(cOMBK_a_pname(X1),X2)=collect_a(hAPP_a_fun_a_bool(fequal_a,X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2)))).
% 0.47/0.95  cnf(i_0_666, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk67_3(X1,X2,X3)),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),image_a_nat(X2,X3))))).
% 0.47/0.95  cnf(i_0_645, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk61_3(X1,X2,X3)),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),image_a_pname(X2,X3)))|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_950, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))|~hBOOL(X2)|~hBOOL(X3))).
% 0.47/0.95  cnf(i_0_312, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk5_3(X1,X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_a_fun_nat_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_354, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk16_3(X1,X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_2129980159t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_377, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk22_3(X1,X2,X3)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_26036933t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_205, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))).
% 0.47/0.95  cnf(i_0_944, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2))|~hBOOL(X1)|~hBOOL(X3))).
% 0.47/0.95  cnf(i_0_389, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk26_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_nat_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_350, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk15_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_fun_a_bool_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_346, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk14_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_1551609309ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_593, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_nat_a(X1,X2)),image_nat_a(X1,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X3)))).
% 0.47/0.95  cnf(i_0_392, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk27_3(X1,X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_pname_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_1021, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,X2))|is_fun_a_bool(esk108_3(X1,X3,X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))).
% 0.47/0.95  cnf(i_0_1022, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,X2))|is_a(esk107_3(X1,X3,X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))).
% 0.47/0.95  cnf(i_0_157, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X1)),hAPP_f22106695ol_nat(finite_card_nat,X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)))).
% 0.47/0.95  cnf(i_0_152, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X1)),hAPP_f696928925ol_nat(finite346522414t_bool,X2)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2),X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1)))).
% 0.47/0.95  cnf(i_0_1085, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X3),X1)),hAPP_nat_nat(plus_plus_nat(X3),X2))))).
% 0.47/0.95  cnf(i_0_1126, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X3),X1)),hAPP_nat_nat(plus_plus_nat(X3),X2))))).
% 0.47/0.95  cnf(i_0_339, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk12_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_a_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_706, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),esk79_1(X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_1176, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk123_1(X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_1020, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk108_3(X1,X2,X3)))|hBOOL(hAPP_fun_a_bool_bool(X1,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))).
% 0.47/0.95  cnf(i_0_1144, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(suc,X2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)))).
% 0.47/0.95  cnf(i_0_834, plain, (X1=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),hAPP_n1699378549t_bool(fequal_nat,X2))))).
% 0.47/0.95  cnf(i_0_1055, plain, (hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk119_2(X1,X2)),esk120_2(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_1049, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk117_2(X1,X2)),esk118_2(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_259, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))).
% 0.47/0.95  cnf(i_0_1017, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,esk108_3(X1,X2,X3)))|hBOOL(hAPP_fun_a_bool_bool(X1,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))).
% 0.47/0.95  cnf(i_0_709, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(hAPP_a_fun_a_bool(fequal_a,mgt(X2)))))|is_pname(esk81_2(X1,X2))|~hBOOL(wt(X2)))).
% 0.47/0.95  cnf(i_0_675, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk70_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X1)))).
% 0.47/0.95  cnf(i_0_1045, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk115_2(X1,X2)),esk116_2(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_353, plain, (image_2129980159t_bool(X1,esk16_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_2129980159t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_376, plain, (image_26036933t_bool(X1,esk22_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_26036933t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_338, plain, (image_a_nat(X1,esk12_3(X1,X2,X3))=X3|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_a_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_673, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk69_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X1)))).
% 0.47/0.95  cnf(i_0_190, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1),X2))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2))))).
% 0.47/0.95  cnf(i_0_191, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,X1),X2))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1))))).
% 0.47/0.95  cnf(i_0_342, plain, (image_496248727ol_nat(X1,esk13_3(X1,X2,X3))=X3|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_496248727ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_345, plain, (image_1551609309ol_nat(X1,esk14_3(X1,X2,X3))=X3|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_1551609309ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_349, plain, (image_fun_a_bool_nat(X1,esk15_3(X1,X2,X3))=X3|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_fun_a_bool_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_369, plain, (image_pname_nat(X1,esk20_3(X1,X2,X3))=X3|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_pname_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_188, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,X1),X2))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X2))))).
% 0.47/0.95  cnf(i_0_189, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,X1),X2))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X1))))).
% 0.47/0.95  cnf(i_0_186, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1),X2))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2))))).
% 0.47/0.95  cnf(i_0_187, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,X1),X2))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1))))).
% 0.47/0.95  cnf(i_0_340, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk12_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_a_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_1161, plain, (X1=X2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)))).
% 0.47/0.95  cnf(i_0_1214, plain, (hAPP_nat_nat(suc,esk134_2(X1,X2))=X2|X2=hAPP_nat_nat(suc,X1)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_388, plain, (image_nat_nat(X1,esk26_3(X1,X2,X3))=X3|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_nat_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_311, plain, (image_a_fun_nat_bool(X1,esk5_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_a_fun_nat_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_880, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X2))=bot_bo844097828e_bool|hBOOL(hAPP_pname_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_374, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk21_3(X1,X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_nat_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_297, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk1_3(X1,X2,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_nat_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_1056, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk120_2(X1,X2)))|hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_1050, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk118_2(X1,X2)))|hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_886, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X2))=bot_bo1649642514l_bool|hBOOL(hAPP_f1664156314l_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_316, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk6_3(X1,X2,X3)))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_819518260e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3))).
% 0.47/0.95  cnf(i_0_320, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk7_3(X1,X2,X3)))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_a_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3))).
% 0.47/0.95  cnf(i_0_358, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk17_3(X1,X2,X3)))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_47868345e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3))).
% 0.47/0.95  cnf(i_0_362, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk18_3(X1,X2,X3)))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_112932426a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3))).
% 0.47/0.95  cnf(i_0_1182, plain, (hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1),esk125_2(X1,X2)))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_1046, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk116_2(X1,X2)))|hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_1054, plain, (hBOOL(hAPP_f621171935l_bool(X1,esk120_2(X1,X2)))|hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_1048, plain, (hBOOL(hAPP_f1935102916l_bool(X1,esk118_2(X1,X2)))|hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_1044, plain, (hBOOL(hAPP_f1637334154l_bool(X1,esk116_2(X1,X2)))|hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_1207, plain, (hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(X1),esk129_2(X1,X2)))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_380, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk23_3(X1,X2,X3)))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_1655916159e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3))).
% 0.47/0.95  cnf(i_0_383, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk24_3(X1,X2,X3)))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_nat_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3))).
% 0.47/0.95  cnf(i_0_1197, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X3),X2))))).
% 0.47/0.95  cnf(i_0_1106, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),X2)))).
% 0.47/0.95  cnf(i_0_1087, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)))).
% 0.47/0.95  cnf(i_0_707, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(hAPP_a_fun_a_bool(fequal_a,mgt(X2)))))|~hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(hAPP_a_fun_a_bool(fequal_a,hAPP_pname_a(mgt_call,esk81_2(X1,X2))))))|~hBOOL(wt(X2)))).
% 0.47/0.95  cnf(i_0_949, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|hBOOL(X3)|hBOOL(X2)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3)))).
% 0.47/0.95  cnf(i_0_943, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|hBOOL(X3)|hBOOL(X1)|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)))).
% 0.47/0.95  cnf(i_0_689, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X1,X2)),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_a_pname(X1,esk75_3(X1,X3,X2))),X3)))).
% 0.47/0.95  cnf(i_0_683, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(X1,X2)),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_pname_pname(X1,esk73_3(X1,X3,X2))),X3)))).
% 0.47/0.95  cnf(i_0_692, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_nat_pname(X1,X2)),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(X1,esk76_3(X1,X3,X2))),X3)))).
% 0.47/0.95  cnf(i_0_686, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X1,X2)),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(X1,esk74_3(X1,X3,X2))),X3)))).
% 0.47/0.95  cnf(i_0_1086, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_720, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(X1,X2)),hAPP_a_bool(X3,X2)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X3)))).
% 0.47/0.95  cnf(i_0_194, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X1)),X2)=hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))).
% 0.47/0.95  cnf(i_0_680, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(X1,X2)),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(X1,esk72_3(X1,X3,X2))),X3)))).
% 0.47/0.95  cnf(i_0_1213, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),esk133_2(X1,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2)))).
% 0.47/0.95  cnf(i_0_370, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk20_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_pname_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_343, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk13_3(X1,X2,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_496248727ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_1118, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))).
% 0.47/0.95  cnf(i_0_655, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X1,X2)),image_a_pname(X1,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3)))).
% 0.47/0.95  cnf(i_0_656, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X1,X2)),image_a_nat(X1,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3)))).
% 0.47/0.95  cnf(i_0_1064, plain, (hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_eq_nat,X1)),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_715, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_a_bool(X1,esk84_2(X1,X2))),hAPP_a_bool(X2,esk84_2(X1,X2)))))).
% 0.47/0.95  cnf(i_0_710, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,esk82_2(X1,X2))),hAPP_pname_bool(X2,esk82_2(X1,X2)))))).
% 0.47/0.95  cnf(i_0_713, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,esk83_2(X1,X2))),hAPP_nat_bool(X2,esk83_2(X1,X2)))))).
% 0.47/0.95  cnf(i_0_307, plain, (image_a_a(X1,esk4_3(X1,X2,X3))=X3|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_a_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_1117, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_231, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X2)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X1))))))).
% 0.47/0.95  cnf(i_0_1156, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))).
% 0.47/0.95  cnf(i_0_697, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk78_3(X1,X2,X3)),X3))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(X1,X3)),X2)))).
% 0.47/0.95  cnf(i_0_535, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fdisj,hAPP_n1699378549t_bool(fequal_nat,X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X2))=X2|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_591, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_a_nat(X1,X2)),image_a_nat(X1,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X3)))).
% 0.47/0.95  cnf(i_0_323, plain, (image_a_pname(X1,esk8_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_a_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_319, plain, (image_a_fun_a_bool(X1,esk7_3(X1,X2,X3))=X3|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_a_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3))).
% 0.47/0.95  cnf(i_0_315, plain, (image_819518260e_bool(X1,esk6_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_819518260e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3))).
% 0.47/0.95  cnf(i_0_365, plain, (image_pname_pname(X1,esk19_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_pname_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_695, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk77_3(X1,X2,X3)),X3))|hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_nat_a(X1,X3)),X2)))).
% 0.47/0.95  cnf(i_0_373, plain, (image_nat_a(X1,esk21_3(X1,X2,X3))=X3|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_nat_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_303, plain, (image_fun_a_bool_a(X1,esk3_3(X1,X2,X3))=X3|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_a_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_299, plain, (image_876012084bool_a(X1,esk2_3(X1,X2,X3))=X3|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_876012084bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_296, plain, (image_fun_nat_bool_a(X1,esk1_3(X1,X2,X3))=X3|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_nat_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_1120, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|hAPP_nat_nat(plus_plus_nat(X3),X2)!=hAPP_nat_nat(plus_plus_nat(X1),X4)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4)))).
% 0.47/0.95  cnf(i_0_690, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk75_3(X1,X2,X3)),X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_a_pname(X1,X3)),X2)))).
% 0.47/0.95  cnf(i_0_361, plain, (image_112932426a_bool(X1,esk18_3(X1,X2,X3))=X3|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_112932426a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3))).
% 0.47/0.95  cnf(i_0_357, plain, (image_47868345e_bool(X1,esk17_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_47868345e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3))).
% 0.47/0.95  cnf(i_0_385, plain, (image_nat_pname(X1,esk25_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_nat_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_382, plain, (image_nat_fun_a_bool(X1,esk24_3(X1,X2,X3))=X3|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_nat_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3))).
% 0.47/0.95  cnf(i_0_687, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk74_3(X1,X2,X3)),X3))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_a_nat(X1,X3)),X2)))).
% 0.47/0.95  cnf(i_0_1042, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(hAPP_a_fun_a_bool(fequal_a,hAPP_pname_a(mgt_call,X2)))))|~hBOOL(hAPP_fun_a_bool_bool(p(collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))),collect_a(hAPP_a_fun_a_bool(fequal_a,mgt(the_com(body(X2))))))))).
% 0.47/0.95  cnf(i_0_653, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk63_3(X1,X2,X3)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_pname_a(X2,X3)))|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_462, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk56_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X1,X2))))).
% 0.47/0.95  cnf(i_0_324, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,esk8_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_a_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_897, plain, (cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)),X2)=hAPP_f103356543l_bool(fequal_fun_nat_bool,X1)|~hBOOL(hAPP_f54304608l_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_379, plain, (image_1655916159e_bool(X1,esk23_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_1655916159e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3))).
% 0.47/0.95  cnf(i_0_334, plain, (image_1854862208_pname(X1,esk11_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1854862208_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_330, plain, (image_1283814551_pname(X1,esk10_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1283814551_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_327, plain, (image_1921560913_pname(X1,esk9_3(X1,X2,X3))=X3|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1921560913_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_449, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_a_fun_a_bool(cOMBC_a_a_bool(cOMBB_a_fun_a_bool_a(fequal_a,X2)),hAPP_a_a(X2,esk52_2(X2,X1)))))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_a_a(X2,X1))))).
% 0.47/0.95  cnf(i_0_1018, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk107_3(X1,X3,X2)),esk108_3(X1,X3,X2)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))).
% 0.47/0.95  cnf(i_0_251, plain, (X1=hAPP_nat_nat(suc,X2)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(suc,X2))))).
% 0.47/0.95  cnf(i_0_891, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_n1699378549t_bool(fequal_nat,X1)),X2)=hAPP_n1699378549t_bool(fequal_nat,X1)|~hBOOL(hAPP_nat_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_1115, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),hAPP_nat_nat(suc,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_233, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))))))).
% 0.47/0.95  cnf(i_0_229, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1))))))).
% 0.47/0.95  cnf(i_0_156, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X2)),hAPP_fun_a_bool_nat(finite_card_a,X1)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2))|~is_fun_a_bool(X2)|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_220, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,X1),X2))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(X1))))).
% 0.47/0.95  cnf(i_0_217, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,X1),X2))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(X1))))).
% 0.47/0.95  cnf(i_0_1215, plain, (X1=hAPP_nat_nat(suc,X2)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),esk134_2(X2,X1)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)))).
% 0.47/0.95  cnf(i_0_718, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_pname_bool(X1,X2)),hAPP_pname_bool(X3,X2)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)))).
% 0.47/0.95  cnf(i_0_155, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X2)),hAPP_f921600141ol_nat(finite_card_pname,X1)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~is_fun_pname_bool(X2)|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_154, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X2)),hAPP_f2009550088ol_nat(finite1306199131a_bool,X1)))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~is_fun949378684l_bool(X2)|~is_fun949378684l_bool(X1))).
% 0.47/0.95  cnf(i_0_153, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X2)),hAPP_f55526627ol_nat(finite1340463720e_bool,X1)))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~is_fun1661590463l_bool(X2)|~is_fun1661590463l_bool(X1))).
% 0.47/0.95  cnf(i_0_663, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk66_3(X1,X2,X3)),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),image_pname_nat(X2,X3))))).
% 0.47/0.95  cnf(i_0_214, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,X1),X2))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(X1))))).
% 0.47/0.95  cnf(i_0_325, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk8_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_a_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_1019, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,esk107_3(X1,X2,X3)),X2))|hBOOL(hAPP_fun_a_bool_bool(X1,X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),X2))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3)))).
% 0.47/0.95  cnf(i_0_588, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk59_3(X1,X2,X3)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X3)))|~is_a(X1))).
% 0.47/0.95  cnf(i_0_366, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk19_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_pname_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_386, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk25_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_nat_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_335, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk11_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1854862208_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_331, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk10_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1283814551_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_714, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X3,X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)))).
% 0.47/0.95  cnf(i_0_669, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk68_3(X1,X2,X3)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X3)))|~is_a(X1))).
% 0.47/0.95  cnf(i_0_642, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk60_3(X1,X2,X3)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),image_nat_a(X2,X3)))|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_433, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk45_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(X1,X2))))).
% 0.47/0.95  cnf(i_0_328, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk9_3(X1,X2,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1921560913_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_1014, plain, (hBOOL(hAPP_f1664156314l_bool(X1,X2))|is_fun_pname_bool(esk106_3(X1,X3,X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_1015, plain, (hBOOL(hAPP_f1664156314l_bool(X1,X2))|is_pname(esk105_3(X1,X3,X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_1041, plain, (hBOOL(hAPP_f621171935l_bool(X1,X2))|is_fun_a_bool(esk113_3(X1,X3,X2))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X2),X3))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_458, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(cOMBB_472261505bool_a(fequal_fun_a_bool,X2)),hAPP_a_fun_a_bool(X2,esk55_2(X2,X1)))))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_a_fun_a_bool(X2,X1))))).
% 0.47/0.95  cnf(i_0_150, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X1)),hAPP_fun_a_bool_nat(finite_card_a,X2)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))).
% 0.47/0.95  cnf(i_0_638, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_nat_a(X1,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_nat_a(X1,X3))))=image_nat_a(X1,X3)|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X3)))).
% 0.47/0.95  cnf(i_0_708, plain, (hBOOL(hAPP_fun_a_bool_bool(p(X1),collect_a(hAPP_a_fun_a_bool(fequal_a,mgt(X2)))))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk81_2(X1,X2)),u))|~hBOOL(wt(X2)))).
% 0.47/0.95  cnf(i_0_1040, plain, (hBOOL(hAPP_f621171935l_bool(X1,X2))|is_fun949378684l_bool(esk114_3(X1,X3,X2))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X2),X3))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_1034, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|is_fun_pname_bool(esk111_3(X1,X3,X2))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X3))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_1033, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|is_fun1661590463l_bool(esk112_3(X1,X3,X2))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X3))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_592, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,hAPP_nat_pname(X1,X2)),image_nat_pname(X1,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X2),X3)))).
% 0.47/0.95  cnf(i_0_590, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_pname_nat(X1,X2)),image_pname_nat(X1,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)))).
% 0.47/0.95  cnf(i_0_1016, plain, (hBOOL(hAPP_fun_a_bool_bool(X1,X2))|~hBOOL(hAPP_fun_a_bool_bool(X1,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),esk107_3(X1,X3,X2))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),esk108_3(X1,X3,X2))))))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X3))|~hBOOL(hAPP_fun_a_bool_bool(X1,bot_bot_fun_a_bool))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))).
% 0.47/0.95  cnf(i_0_661, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk65_3(X1,X2,X3)),X3))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_nat_a(X2,X3)))|~is_a(X1))).
% 0.47/0.95  cnf(i_0_145, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(X1,X2))),hAPP_f921600141ol_nat(finite_card_pname,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_659, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk64_3(X1,X2,X3)),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),image_nat_pname(X2,X3)))|~is_pname(X1))).
% 0.47/0.95  cnf(i_0_921, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X2))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X1),X3))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X3),X2)))).
% 0.47/0.95  cnf(i_0_406, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk35_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X1,X2))))).
% 0.47/0.95  cnf(i_0_422, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk41_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(X1,X2))))).
% 0.47/0.95  cnf(i_0_441, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk49_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X1,X2))))).
% 0.47/0.95  cnf(i_0_444, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk50_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X1,X2))))).
% 0.47/0.95  cnf(i_0_924, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))).
% 0.47/0.95  cnf(i_0_143, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_a_pname(X1,X2))),hAPP_fun_a_bool_nat(finite_card_a,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))).
% 0.47/0.95  cnf(i_0_447, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk51_2(X1,X2)),X2))|hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X1,X2))))).
% 0.47/0.95  cnf(i_0_401, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk33_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(X1,X2))))).
% 0.47/0.95  cnf(i_0_417, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk39_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_nat_nat(X1,X2))))).
% 0.47/0.95  cnf(i_0_435, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk46_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(X1,X2))))).
% 0.47/0.95  cnf(i_0_473, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)))).
% 0.47/0.95  cnf(i_0_134, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_a_a(X1,X2))),hAPP_fun_a_bool_nat(finite_card_a,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))).
% 0.47/0.95  cnf(i_0_437, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk47_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(X1,X2))))).
% 0.47/0.95  cnf(i_0_439, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk48_2(X1,X2)),X2))|hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(X1,X2))))).
% 0.47/0.95  cnf(i_0_414, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk38_2(X1,X2)),X2))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X1,X2))))).
% 0.47/0.95  cnf(i_0_430, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk44_2(X1,X2)),X2))|hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X1,X2))))).
% 0.47/0.95  cnf(i_0_923, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2)))).
% 0.47/0.95  cnf(i_0_922, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2)))).
% 0.47/0.95  cnf(i_0_139, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_a_nat(X1,X2))),hAPP_fun_a_bool_nat(finite_card_a,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))).
% 0.47/0.95  cnf(i_0_411, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk37_2(X1,X2)),X2))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X1,X2))))).
% 0.47/0.95  cnf(i_0_427, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk43_2(X1,X2)),X2))|hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X1,X2))))).
% 0.47/0.95  cnf(i_0_409, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk36_2(X1,X2)),X2))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(X1,X2))))).
% 0.47/0.95  cnf(i_0_425, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk42_2(X1,X2)),X2))|hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(X1,X2))))).
% 0.47/0.95  cnf(i_0_472, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3)))).
% 0.47/0.95  cnf(i_0_684, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk73_3(X1,X2,X3)),X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_pname_pname(X1,X3)),X2)))).
% 0.47/0.95  cnf(i_0_181, plain, (hAPP_fun_a_bool_nat(finite_card_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2))))=hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,X2))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),X2))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X2)))).
% 0.47/0.95  cnf(i_0_313, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk5_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_a_fun_nat_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_531, plain, (X1=X2|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X3),X1))|hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X3),X2))|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))!=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X2)))|~is_fun_a_bool(X2)|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_1105, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X3),X2))))).
% 0.47/0.95  cnf(i_0_1196, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(minus_minus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)))).
% 0.47/0.95  cnf(i_0_693, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk76_3(X1,X2,X3)),X3))|hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,image_nat_pname(X1,X3)),X2)))).
% 0.47/0.95  cnf(i_0_393, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk27_3(X1,X2,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_pname_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_375, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk21_3(X1,X2,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_nat_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_1107, plain, (hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X3))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))).
% 0.47/0.95  cnf(i_0_681, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk72_3(X1,X2,X3)),X3))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_pname_nat(X1,X3)),X2)))).
% 0.47/0.95  cnf(i_0_1059, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(ord_less_eq_nat,X1)),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk121_2(X2,X1)),hAPP_nat_nat(X1,esk121_2(X2,X1)))))).
% 0.47/0.95  cnf(i_0_835, plain, (X1=X2|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(hAPP_p61793385e_bool(fequal_pname,X2))))|~is_pname(X2)|~is_pname(X1))).
% 0.47/0.95  cnf(i_0_305, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,esk3_3(X1,X2,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_a_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_301, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk2_3(X1,X2,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_876012084bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_298, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,esk1_3(X1,X2,X3)),X2))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X3),image_fun_nat_bool_a(X1,X2)))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X3))|~is_fun_a_bool(X3))).
% 0.47/0.95  cnf(i_0_1102, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)=hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(minus_minus_nat(X2),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))).
% 0.47/0.95  cnf(i_0_1101, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(minus_minus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.47/0.95  cnf(i_0_371, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk20_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_pname_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_390, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk26_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_nat_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_351, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,esk15_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_fun_a_bool_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_1133, plain, (hAPP_nat_nat(suc,X1)=X2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_163, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,X1)),hAPP_fun_a_bool_nat(finite_card_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1)))).
% 0.47/0.95  cnf(i_0_317, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk6_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_819518260e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3))).
% 0.47/0.95  cnf(i_0_133, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_pname_pname(X1,X2))),hAPP_f921600141ol_nat(finite_card_pname,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_347, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk14_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_1551609309ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_344, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,esk13_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),image_496248727ol_nat(X1,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_1011, plain, (hBOOL(hAPP_f1664156314l_bool(X1,X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk105_3(X1,X3,X2)),esk106_3(X1,X3,X2)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_1006, plain, (hBOOL(hAPP_f54304608l_bool(X1,X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk103_3(X1,X3,X2)),esk104_3(X1,X3,X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_144, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,image_nat_pname(X1,X2))),hAPP_f22106695ol_nat(finite_card_nat,X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_321, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,esk7_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_a_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3))).
% 0.47/0.95  cnf(i_0_137, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_a_bool_a(X1,X2))),hAPP_f2009550088ol_nat(finite1306199131a_bool,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_136, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_876012084bool_a(X1,X2))),hAPP_f55526627ol_nat(finite1340463720e_bool,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_135, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_fun_a_bool_nat(finite_card_a,image_fun_nat_bool_a(X1,X2))),hAPP_f696928925ol_nat(finite346522414t_bool,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_140, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_496248727ol_nat(X1,X2))),hAPP_f696928925ol_nat(finite346522414t_bool,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_1037, plain, (hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk113_3(X1,X3,X2)),esk114_3(X1,X3,X2)))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X2),X3))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_1030, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk111_3(X1,X3,X2)),esk112_3(X1,X3,X2)))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X3))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_1025, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk109_3(X1,X3,X2)),esk110_3(X1,X3,X2)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2),X3))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_519, plain, (X1=X2|hBOOL(hAPP_pname_bool(X3,X2))|~hBOOL(hAPP_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3))),X2))|~is_pname(X2)|~is_pname(X1))).
% 0.47/0.95  cnf(i_0_141, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_1551609309ol_nat(X1,X2))),hAPP_f55526627ol_nat(finite1340463720e_bool,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_142, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_fun_a_bool_nat(X1,X2))),hAPP_f2009550088ol_nat(finite1306199131a_bool,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_138, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,image_pname_nat(X1,X2))),hAPP_f921600141ol_nat(finite_card_pname,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_149, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X1)),hAPP_f921600141ol_nat(finite_card_pname,X2)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_146, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X1)),hAPP_f696928925ol_nat(finite346522414t_bool,X2)))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X1),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_614, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))),X2)))).
% 0.47/0.95  cnf(i_0_613, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)))),X2)))).
% 0.47/0.95  cnf(i_0_367, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk19_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_pname_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_387, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk25_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_nat_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_147, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X1)),hAPP_f55526627ol_nat(finite1340463720e_bool,X2)))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X1),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_148, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X1)),hAPP_f2009550088ol_nat(finite1306199131a_bool,X2)))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X1),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_151, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X1)),hAPP_f22106695ol_nat(finite_card_nat,X2)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_336, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,esk11_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1854862208_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_332, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,esk10_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1283814551_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_329, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,esk9_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),image_1921560913_pname(X1,X2)))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3))|~is_fun_pname_bool(X3))).
% 0.47/0.95  cnf(i_0_1010, plain, (hBOOL(hAPP_f1664156314l_bool(X1,esk106_3(X1,X2,X3)))|hBOOL(hAPP_f1664156314l_bool(X1,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))).
% 0.47/0.95  cnf(i_0_853, plain, (X1=X2|X2=X3|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2))),hAPP_a_fun_a_bool(fequal_a,X4)))!=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X3))),hAPP_a_fun_a_bool(fequal_a,X1)))|~is_a(X4)|~is_a(X3)|~is_a(X2)|~is_a(X1))).
% 0.47/0.95  cnf(i_0_852, plain, (X1=X2|X2=X3|collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),hAPP_a_fun_a_bool(fequal_a,X3)))!=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X4))),hAPP_a_fun_a_bool(fequal_a,X2)))|~is_a(X4)|~is_a(X3)|~is_a(X2)|~is_a(X1))).
% 0.47/0.95  cnf(i_0_1094, plain, (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(minus_minus_nat(X1),X2)),X3)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))).
% 0.47/0.95  cnf(i_0_1005, plain, (hBOOL(hAPP_f54304608l_bool(X1,esk104_3(X1,X2,X3)))|hBOOL(hAPP_f54304608l_bool(X1,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_1036, plain, (hBOOL(hAPP_f621171935l_bool(X1,esk114_3(X1,X2,X3)))|hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))).
% 0.47/0.95  cnf(i_0_1029, plain, (hBOOL(hAPP_f1935102916l_bool(X1,esk112_3(X1,X2,X3)))|hBOOL(hAPP_f1935102916l_bool(X1,X3))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))).
% 0.47/0.95  cnf(i_0_1024, plain, (hBOOL(hAPP_f1637334154l_bool(X1,esk110_3(X1,X2,X3)))|hBOOL(hAPP_f1637334154l_bool(X1,X3))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),X2))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_50, plain, (is_fun949378684l_bool(collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X2))))|~is_fun949378684l_bool(X2)|~is_fun_a_bool(X1))).
% 0.47/0.95  cnf(i_0_402, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_p1534023578a_bool(cOMBC_a_pname_bool(cOMBB_610033911bool_a(fequal_pname,X2)),hAPP_a_pname(X2,esk34_2(X2,X1)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_a_pname(X2,X1))))).
% 0.47/0.95  cnf(i_0_418, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_nat_fun_a_bool(cOMBC_a_nat_bool(cOMBB_1321347587bool_a(fequal_nat,X2)),hAPP_a_nat(X2,esk40_2(X2,X1)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_a_nat(X2,X1))))).
% 0.47/0.95  cnf(i_0_455, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_f1051908748a_bool(cOMBC_1834145417l_bool(cOMBB_1137537805bool_a(fequal533582459e_bool,X2)),hAPP_a93125764e_bool(X2,esk54_2(X2,X1)))))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_819518260e_bool(X2,X1))))).
% 0.47/0.95  cnf(i_0_832, plain, (X1=X2|hAPP_n1699378549t_bool(fequal_nat,X1)!=hAPP_n1699378549t_bool(fequal_nat,X2))).
% 0.47/0.95  cnf(i_0_355, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk16_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_2129980159t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_270, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X1),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))).
% 0.47/0.95  cnf(i_0_452, plain, (hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,X1))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fconj,hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)),hAPP_f1549043526a_bool(cOMBC_777206479l_bool(cOMBB_743407885bool_a(fequal_fun_nat_bool,X2)),hAPP_a_fun_nat_bool(X2,esk53_2(X2,X1)))))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_a_fun_nat_bool(X2,X1))))).
% 0.47/0.95  cnf(i_0_1013, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,esk106_3(X1,X2,X3)))|hBOOL(hAPP_f1664156314l_bool(X1,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))).
% 0.47/0.95  cnf(i_0_1008, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,esk104_3(X1,X2,X3)))|hBOOL(hAPP_f54304608l_bool(X1,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_378, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk22_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),image_26036933t_bool(X1,X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_269, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)))).
% 0.47/0.95  cnf(i_0_1084, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.47/0.95  cnf(i_0_1088, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)))).
% 0.47/0.95  cnf(i_0_1125, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)))).
% 0.47/0.95  cnf(i_0_227, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X2))),X1))))).
% 0.47/0.95  cnf(i_0_1039, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,esk114_3(X1,X2,X3)))|hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))).
% 0.47/0.95  cnf(i_0_1032, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,esk112_3(X1,X2,X3)))|hBOOL(hAPP_f1935102916l_bool(X1,X3))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))).
% 0.47/0.95  cnf(i_0_1027, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,esk110_3(X1,X2,X3)))|hBOOL(hAPP_f1637334154l_bool(X1,X3))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),X2))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_1122, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))).
% 0.47/0.95  cnf(i_0_1104, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X2),X1)),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))).
% 0.47/0.95  cnf(i_0_1100, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(minus_minus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)))).
% 0.47/0.95  cnf(i_0_131, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X2)))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_235, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X2))),X1))))).
% 0.47/0.95  cnf(i_0_522, plain, (X1=X2|hBOOL(hAPP_nat_bool(X3,X2))|~hBOOL(hAPP_nat_bool(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X3),X2)))).
% 0.47/0.95  cnf(i_0_611, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X3)),X2)))).
% 0.47/0.95  cnf(i_0_264, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),hAPP_nat_nat(minus_minus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X1)))).
% 0.47/0.95  cnf(i_0_1200, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X3)),hAPP_nat_nat(minus_minus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X1)))).
% 0.47/0.95  cnf(i_0_1132, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,X1)),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))).
% 0.47/0.95  cnf(i_0_485, plain, (hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk57_3(X2,X1,X3))))|hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(minus_minus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(X1,X3)))).
% 0.47/0.95  cnf(i_0_610, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X2))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X3))),X1)),X2)))).
% 0.47/0.95  cnf(i_0_481, plain, (X1=X2|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X2))),X3))))).
% 0.47/0.95  cnf(i_0_127, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))),X2)))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_1111, plain, (hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(X2),X3)))=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(X1),X3)),hAPP_nat_nat(suc,X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))).
% 0.47/0.95  cnf(i_0_520, plain, (hBOOL(hAPP_nat_bool(cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X2),X3))|~hBOOL(hAPP_nat_bool(X2,X3)))).
% 0.47/0.95  cnf(i_0_1205, plain, (hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk128_3(X1,X2,X3))))|hBOOL(hAPP_nat_bool(X1,X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))|~hBOOL(hAPP_nat_bool(X1,X3)))).
% 0.47/0.95  cnf(i_0_1206, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk128_3(X1,X2,X3)),X3))|hBOOL(hAPP_nat_bool(X1,X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))|~hBOOL(hAPP_nat_bool(X1,X3)))).
% 0.47/0.95  cnf(i_0_1043, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(X1,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,esk115_2(X1,X2)))),esk116_2(X1,X2))))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_359, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk17_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_47868345e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3))).
% 0.47/0.95  cnf(i_0_49, plain, (is_fun_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))|~is_pname(X1)|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_129, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X2)))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_51, plain, (is_fun1661590463l_bool(collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))))|~is_fun1661590463l_bool(X2)|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_130, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_265, plain, (hAPP_nat_nat(minus_minus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(minus_minus_nat(X3),X2)))=hAPP_nat_nat(minus_minus_nat(X1),X3)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))).
% 0.47/0.95  cnf(i_0_363, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,esk18_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_112932426a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3))).
% 0.47/0.95  cnf(i_0_381, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk23_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),image_1655916159e_bool(X1,X2)))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3))|~is_fun1661590463l_bool(X3))).
% 0.47/0.95  cnf(i_0_384, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,esk24_3(X1,X2,X3)),X2))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),image_nat_fun_a_bool(X1,X2)))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3))|~is_fun949378684l_bool(X3))).
% 0.47/0.95  cnf(i_0_1053, plain, (hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),esk119_2(X1,X2))),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),esk120_2(X1,X2))))))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_128, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2)))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_536, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))=X2|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~is_fun_pname_bool(X2))).
% 0.47/0.95  cnf(i_0_637, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,hAPP_a_nat(X1,X2)))),image_a_nat(X1,X3))=image_a_nat(X1,X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X3)))).
% 0.47/0.95  cnf(i_0_1047, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),esk117_2(X1,X2))),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),esk118_2(X1,X2))))))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_432, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_a_fun_nat_bool(cOMBC_nat_a_bool(cOMBB_1885489796ol_nat(fequal_a,X2)),hAPP_nat_a(X2,esk45_2(X2,X1))))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_nat_a(X2,X1))))).
% 0.47/0.95  cnf(i_0_400, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_p1499970991t_bool(cOMBC_nat_pname_bool(cOMBB_1212655066ol_nat(fequal_pname,X2)),hAPP_nat_pname(X2,esk33_2(X2,X1))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_nat_pname(X2,X1))))).
% 0.47/0.95  cnf(i_0_416, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_n1699378549t_bool(cOMBC_nat_nat_bool(cOMBB_800536526ol_nat(fequal_nat,X2)),hAPP_nat_nat(X2,esk39_2(X2,X1))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_nat_nat(X2,X1))))).
% 0.47/0.95  cnf(i_0_1012, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,esk105_3(X1,X2,X3)),X2))|hBOOL(hAPP_f1664156314l_bool(X1,X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X3),X2))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X3)))).
% 0.47/0.95  cnf(i_0_635, plain, (cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,hAPP_pname_nat(X1,X2)))),image_pname_nat(X1,X3))=image_pname_nat(X1,X3)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)))).
% 0.47/0.95  cnf(i_0_438, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_f282463732t_bool(cOMBC_1928494297l_bool(cOMBB_1823939024ol_nat(fequal_fun_a_bool,X2)),hAPP_nat_fun_a_bool(X2,esk48_2(X2,X1))))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_nat_fun_a_bool(X2,X1))))).
% 0.47/0.95  cnf(i_0_436, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_f1066163005t_bool(cOMBC_386238098l_bool(cOMBB_2117322052ol_nat(fequal533582459e_bool,X2)),hAPP_n1025906991e_bool(X2,esk47_2(X2,X1))))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_1655916159e_bool(X2,X1))))).
% 0.47/0.95  cnf(i_0_434, plain, (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fconj,hAPP_f800510211t_bool(cOMBC_226598744l_bool(member_nat),X1)),hAPP_f800510211t_bool(cOMBC_226598744l_bool(cOMBB_2026977092ol_nat(fequal_fun_nat_bool,X2)),hAPP_n1699378549t_bool(X2,esk46_2(X2,X1))))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_26036933t_bool(X2,X1))))).
% 0.47/0.95  cnf(i_0_408, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X1)),hAPP_p130839763l_bool(cOMBC_615407716e_bool(cOMBB_141086128t_bool(fequal_pname,X2)),hAPP_f1291551745_pname(X2,esk36_2(X2,X1))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1921560913_pname(X2,X1))))).
% 0.47/0.95  cnf(i_0_518, plain, (hBOOL(hAPP_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))),X1))|~is_pname(X1))).
% 0.47/0.95  cnf(i_0_1007, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,esk103_3(X1,X2,X3)),X2))|hBOOL(hAPP_f54304608l_bool(X1,X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X3),X2))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X3)))).
% 0.47/0.95  cnf(i_0_1038, plain, (hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,esk113_3(X1,X2,X3)),X2))|hBOOL(hAPP_f621171935l_bool(X1,X3))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X3),X2))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X3)))).
% 0.47/0.95  cnf(i_0_1031, plain, (hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,esk111_3(X1,X2,X3)),X2))|hBOOL(hAPP_f1935102916l_bool(X1,X3))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X3),X2))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X3)))).
% 0.47/0.95  cnf(i_0_176, plain, (hAPP_f696928925ol_nat(finite346522414t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))),X2))=hAPP_nat_nat(suc,hAPP_f696928925ol_nat(finite346522414t_bool,X2))|hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X1),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_1110, plain, (hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(X1),X2))),X3)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(suc,X1)),hAPP_nat_nat(plus_plus_nat(X2),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))).
% 0.47/0.95  cnf(i_0_424, plain, (hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fconj,hAPP_f1246832597l_bool(cOMBC_1245412066l_bool(member_fun_nat_bool),X1)),hAPP_n215258509l_bool(cOMBC_385542954t_bool(cOMBB_1250273980t_bool(fequal_nat,X2)),hAPP_f22106695ol_nat(X2,esk42_2(X2,X1))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_496248727ol_nat(X2,X1))))).
% 0.47/0.95  cnf(i_0_482, plain, (X1=X2|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))|~is_pname(X2)|~is_pname(X1))).
% 0.47/0.95  cnf(i_0_461, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_a93125764e_bool(cOMBC_pname_a_bool(cOMBB_1897541054_pname(fequal_a,X2)),hAPP_pname_a(X2,esk56_2(X2,X1)))))))|~hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(X2,X1))))).
% 0.47/0.95  cnf(i_0_1026, plain, (hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,esk109_3(X1,X2,X3)),X2))|hBOOL(hAPP_f1637334154l_bool(X1,X3))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X3),X2))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X3)))).
% 0.47/0.95  cnf(i_0_1089, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X4)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)))).
% 0.47/0.95  cnf(i_0_1155, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X1),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)))).
% 0.47/0.95  cnf(i_0_1198, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(minus_minus_nat(X1),X2)),hAPP_nat_nat(minus_minus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))).
% 0.47/0.95  cnf(i_0_625, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X2))),X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),X3)))).
% 0.47/0.95  cnf(i_0_405, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_p61793385e_bool(cOMBC_1149511130e_bool(cOMBB_542850580_pname(fequal_pname,X2)),hAPP_pname_pname(X2,esk35_2(X2,X1)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_pname_pname(X2,X1))))).
% 0.47/0.95  cnf(i_0_421, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_n1025906991e_bool(cOMBC_pname_nat_bool(cOMBB_523834888_pname(fequal_nat,X2)),hAPP_pname_nat(X2,esk41_2(X2,X1)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_pname_nat(X2,X1))))).
% 0.47/0.95  cnf(i_0_446, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_f1794073134e_bool(cOMBC_445755039l_bool(cOMBB_392435466_pname(fequal_fun_a_bool,X2)),hAPP_p1534023578a_bool(X2,esk51_2(X2,X1)))))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,image_112932426a_bool(X2,X1))))).
% 0.47/0.95  cnf(i_0_443, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(cOMBB_408569982_pname(fequal533582459e_bool,X2)),hAPP_p61793385e_bool(X2,esk50_2(X2,X1)))))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,image_47868345e_bool(X2,X1))))).
% 0.47/0.95  cnf(i_0_476, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X2))),X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3)))).
% 0.47/0.95  cnf(i_0_1121, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X4)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))).
% 0.47/0.95  cnf(i_0_398, plain, (hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(X1,X2)),hAPP_nat_fun_a_bool(X1,X3)))|~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_nat_fun_a_bool(X1,esk31_3(X2,X3,X1))),hAPP_nat_fun_a_bool(X1,hAPP_nat_nat(suc,esk31_3(X2,X3,X1)))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.47/0.95  cnf(i_0_849, plain, (collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X1))),hAPP_a_fun_a_bool(fequal_a,X2)))=collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fimplies,cOMBB_bool_bool_a(fNot,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X2))),hAPP_a_fun_a_bool(fequal_a,X1)))|~is_a(X2)|~is_a(X1))).
% 0.47/0.95  cnf(i_0_179, plain, (hAPP_f22106695ol_nat(finite_card_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X2))=hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,X2))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_440, plain, (hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)),hAPP_f654413245e_bool(cOMBC_267053842l_bool(cOMBB_928955006_pname(fequal_fun_nat_bool,X2)),hAPP_p1499970991t_bool(X2,esk49_2(X2,X1)))))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,image_2129980159t_bool(X2,X1))))).
% 0.47/0.95  cnf(i_0_413, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X1)),hAPP_p1824510254l_bool(cOMBC_1738168533e_bool(cOMBB_1693087065a_bool(fequal_pname,X2)),hAPP_f1128469712_pname(X2,esk38_2(X2,X1)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1854862208_pname(X2,X1))))).
% 0.47/0.95  cnf(i_0_429, plain, (hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X1)),hAPP_n1414589940l_bool(cOMBC_619334683t_bool(cOMBB_164527437a_bool(fequal_nat,X2)),hAPP_fun_a_bool_nat(X2,esk44_2(X2,X1)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_fun_a_bool_nat(X2,X1))))).
% 0.47/0.95  cnf(i_0_410, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1)),hAPP_p338031245l_bool(cOMBC_1004116266e_bool(cOMBB_598082538e_bool(fequal_pname,X2)),hAPP_f1297739591_pname(X2,esk37_2(X2,X1)))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,image_1283814551_pname(X2,X1))))).
% 0.47/0.95  cnf(i_0_619, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X3))))).
% 0.47/0.95  cnf(i_0_517, plain, (hBOOL(hAPP_pname_bool(collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))),X3))|~hBOOL(hAPP_pname_bool(X2,X3))|~is_pname(X1)|~is_pname(X3))).
% 0.47/0.95  cnf(i_0_621, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X2))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))))).
% 0.47/0.95  cnf(i_0_478, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3)))).
% 0.47/0.95  cnf(i_0_426, plain, (hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1)),hAPP_n850744903l_bool(cOMBC_1666426608t_bool(cOMBB_1896684278e_bool(fequal_nat,X2)),hAPP_f921600141ol_nat(X2,esk43_2(X2,X1)))))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_1551609309ol_nat(X2,X1))))).
% 0.47/0.95  cnf(i_0_1210, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,esk131_3(X2,X3,X1))),hAPP_nat_nat(X1,esk132_3(X2,X3,X1))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.47/0.95  cnf(i_0_831, plain, (X1=X2|collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))!=collect_pname(hAPP_p61793385e_bool(fequal_pname,X2))|~is_pname(X2)|~is_pname(X1))).
% 0.47/0.95  cnf(i_0_395, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,X2)),hAPP_nat_bool(X1,X3)))|~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,hAPP_nat_bool(X1,esk28_3(X2,X3,X1))),hAPP_nat_bool(X1,hAPP_nat_nat(suc,esk28_3(X2,X3,X1)))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.47/0.95  cnf(i_0_624, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),X3)))).
% 0.47/0.95  cnf(i_0_165, plain, (hAPP_f696928925ol_nat(finite346522414t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X1))),X2))=hAPP_f696928925ol_nat(finite346522414t_bool,X2)|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1951378235l_bool(member_fun_nat_bool,X1),X2))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_171, plain, (hAPP_f22106695ol_nat(finite_card_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X2))=hAPP_f22106695ol_nat(finite_card_nat,X2)|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X2))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_893, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(fequal_pname,X1)),X2))=collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))|~hBOOL(hAPP_pname_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_901, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(fequal_fun_a_bool,X1)),X2))=collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1))|~hBOOL(hAPP_fun_a_bool_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_399, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,esk32_3(X2,X3,X1))),hAPP_nat_nat(X1,hAPP_nat_nat(suc,esk32_3(X2,X3,X1)))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.47/0.95  cnf(i_0_396, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(X1,X2)),hAPP_n1025906991e_bool(X1,X3)))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,hAPP_n1025906991e_bool(X1,esk29_3(X2,X3,X1))),hAPP_n1025906991e_bool(X1,hAPP_nat_nat(suc,esk29_3(X2,X3,X1)))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.47/0.95  cnf(i_0_397, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(X1,X2)),hAPP_n1699378549t_bool(X1,X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,hAPP_n1699378549t_bool(X1,esk30_3(X2,X3,X1))),hAPP_n1699378549t_bool(X1,hAPP_nat_nat(suc,esk30_3(X2,X3,X1)))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.47/0.95  cnf(i_0_1004, plain, (hBOOL(hAPP_f54304608l_bool(X1,X2))|~hBOOL(hAPP_f54304608l_bool(X1,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,esk103_3(X1,X3,X2)))),esk104_3(X1,X3,X2))))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))|~hBOOL(hAPP_f54304608l_bool(X1,bot_bot_fun_nat_bool))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X2)))).
% 0.47/0.95  cnf(i_0_636, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),hAPP_a_pname(X1,X2))),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),image_a_pname(X1,X3))))=image_a_pname(X1,X3)|~hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X2),X3)))).
% 0.47/0.95  cnf(i_0_169, plain, (hAPP_f2009550088ol_nat(finite1306199131a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X2))))=hAPP_f2009550088ol_nat(finite1306199131a_bool,X2)|~hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X1),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_857, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))))|~is_pname(X1))).
% 0.47/0.95  cnf(i_0_899, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(fequal533582459e_bool,X1)),X2))=collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1))|~hBOOL(hAPP_f1664156314l_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_634, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),hAPP_pname_pname(X1,X2))),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),image_pname_pname(X1,X3))))=image_pname_pname(X1,X3)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)))).
% 0.47/0.95  cnf(i_0_1023, plain, (hBOOL(hAPP_f1637334154l_bool(X1,X2))|~hBOOL(hAPP_f1637334154l_bool(X1,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,esk109_3(X1,X3,X2)))),esk110_3(X1,X3,X2))))|~hBOOL(hAPP_f1637334154l_bool(hAPP_f1772781669l_bool(ord_le1454342156l_bool,X2),X3))|~hBOOL(hAPP_f1637334154l_bool(X1,bot_bo1701429464l_bool))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X2)))).
% 0.47/0.95  cnf(i_0_1009, plain, (hBOOL(hAPP_f1664156314l_bool(X1,X2))|~hBOOL(hAPP_f1664156314l_bool(X1,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),esk105_3(X1,X3,X2))),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),esk106_3(X1,X3,X2))))))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3))|~hBOOL(hAPP_f1664156314l_bool(X1,bot_bo844097828e_bool))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_1035, plain, (hBOOL(hAPP_f621171935l_bool(X1,X2))|~hBOOL(hAPP_f621171935l_bool(X1,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),esk113_3(X1,X3,X2))),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),esk114_3(X1,X3,X2))))))|~hBOOL(hAPP_f621171935l_bool(hAPP_f1434722111l_bool(ord_le1375614389l_bool,X2),X3))|~hBOOL(hAPP_f621171935l_bool(X1,bot_bo1389914601l_bool))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_1028, plain, (hBOOL(hAPP_f1935102916l_bool(X1,X2))|~hBOOL(hAPP_f1935102916l_bool(X1,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),esk111_3(X1,X3,X2))),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),esk112_3(X1,X3,X2))))))|~hBOOL(hAPP_f1935102916l_bool(hAPP_f510955609l_bool(ord_le675606854l_bool,X2),X3))|~hBOOL(hAPP_f1935102916l_bool(X1,bot_bo1649642514l_bool))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_914, plain, (X1=hAPP_n1699378549t_bool(fequal_nat,X2)|X1=bot_bot_fun_nat_bool|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X1),hAPP_n1699378549t_bool(fequal_nat,X2))))).
% 0.47/0.95  cnf(i_0_173, plain, (hAPP_f921600141ol_nat(finite_card_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))=hAPP_f921600141ol_nat(finite_card_pname,X2)|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_881, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fconj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),X2))=collect_pname(hAPP_p61793385e_bool(fequal_pname,X1))|~hBOOL(hAPP_pname_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_889, plain, (collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fconj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),X2))=collect_fun_a_bool(hAPP_f1631501043l_bool(fequal_fun_a_bool,X1))|~hBOOL(hAPP_fun_a_bool_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_1202, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(plus_plus_nat(X2),X3))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,esk126_3(X2,X3,X1))),hAPP_nat_nat(X1,esk127_3(X2,X3,X1)))))).
% 0.47/0.95  cnf(i_0_1211, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk131_3(X1,X2,X3)),esk132_3(X1,X2,X3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X3,X1)),hAPP_nat_nat(X3,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.47/0.95  cnf(i_0_167, plain, (hAPP_f55526627ol_nat(finite1340463720e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))))=hAPP_f55526627ol_nat(finite1340463720e_bool,X2)|~hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_609, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X2)),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3))|~hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X1),X3)))).
% 0.47/0.95  cnf(i_0_158, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f696928925ol_nat(finite346522414t_bool,X1)),hAPP_f696928925ol_nat(finite346522414t_bool,cOMBS_1187019125l_bool(cOMBB_444170502t_bool(fimplies,cOMBB_238756964t_bool(fNot,hAPP_f103356543l_bool(fequal_fun_nat_bool,X2))),X1))))|~hBOOL(hAPP_f1637334154l_bool(finite2012431853t_bool,X1)))).
% 0.47/0.95  cnf(i_0_162, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f22106695ol_nat(finite_card_nat,X1)),hAPP_f22106695ol_nat(finite_card_nat,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X2))),X1))))|~hBOOL(hAPP_f54304608l_bool(finite_finite_nat,X1)))).
% 0.47/0.95  cnf(i_0_160, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f2009550088ol_nat(finite1306199131a_bool,X1)),hAPP_f2009550088ol_nat(finite1306199131a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X2)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X1))))))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X1)))).
% 0.47/0.95  cnf(i_0_887, plain, (collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fconj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),X2))=collec1974731493e_bool(hAPP_f434788991l_bool(fequal533582459e_bool,X1))|~hBOOL(hAPP_f1664156314l_bool(X2,X1)))).
% 0.47/0.95  cnf(i_0_1203, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(plus_plus_nat(X2),X3))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk126_3(X2,X3,X1)),esk127_3(X2,X3,X1))))).
% 0.47/0.95  cnf(i_0_915, plain, (X1=collect_pname(hAPP_p61793385e_bool(fequal_pname,X2))|X1=bot_bo844097828e_bool|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X1),collect_pname(hAPP_p61793385e_bool(fequal_pname,X2))))|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_527, plain, (X1=X2|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X1))|hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X3),X2))|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X3))),X1)!=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X3))),X2))).
% 0.47/0.95  cnf(i_0_612, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X3))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)))).
% 0.47/0.95  cnf(i_0_178, plain, (hAPP_f2009550088ol_nat(finite1306199131a_bool,collect_fun_a_bool(cOMBS_1035972772l_bool(cOMBB_338059395a_bool(fdisj,hAPP_f1631501043l_bool(cOMBC_1732670874l_bool(fequal_fun_a_bool),X1)),hAPP_f2117159681l_bool(cOMBC_1880041174l_bool(member_fun_a_bool),X2))))=hAPP_nat_nat(suc,hAPP_f2009550088ol_nat(finite1306199131a_bool,X2))|hBOOL(hAPP_f621171935l_bool(hAPP_f285962445l_bool(member_fun_a_bool,X1),X2))|~hBOOL(hAPP_f621171935l_bool(finite347923420a_bool,X2)))).
% 0.47/0.95  cnf(i_0_161, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f921600141ol_nat(finite_card_pname,X1)),hAPP_f921600141ol_nat(finite_card_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))))))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X1)))).
% 0.47/0.95  cnf(i_0_159, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_f55526627ol_nat(finite1340463720e_bool,X1)),hAPP_f55526627ol_nat(finite1340463720e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X2)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X1))))))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X1)))).
% 0.47/0.95  cnf(i_0_180, plain, (hAPP_f921600141ol_nat(finite_card_pname,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2))))=hAPP_nat_nat(suc,hAPP_f921600141ol_nat(finite_card_pname,X2))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))|~hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,X2)))).
% 0.47/0.95  cnf(i_0_177, plain, (hAPP_f55526627ol_nat(finite1340463720e_bool,collec1974731493e_bool(cOMBS_350070575l_bool(cOMBB_2095475776e_bool(fdisj,hAPP_f434788991l_bool(cOMBC_1284144636l_bool(fequal533582459e_bool),X1)),hAPP_f559147733l_bool(cOMBC_1988546018l_bool(member799430823e_bool),X2))))=hAPP_nat_nat(suc,hAPP_f55526627ol_nat(finite1340463720e_bool,X2))|hBOOL(hAPP_f1935102916l_bool(hAPP_f556039215l_bool(member799430823e_bool,X1),X2))|~hBOOL(hAPP_f1935102916l_bool(finite595471783e_bool,X2)))).
% 0.47/0.95  cnf(i_0_529, plain, (X1=X2|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X1))|hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X2))|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1)))!=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))|~is_fun_pname_bool(X2)|~is_fun_pname_bool(X1))).
% 0.47/0.95  cnf(i_0_847, plain, (X1=X2|X2=X3|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X2))),hAPP_n1699378549t_bool(fequal_nat,X4))!=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X3))),hAPP_n1699378549t_bool(fequal_nat,X1)))).
% 0.47/0.95  cnf(i_0_628, plain, (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X2)),cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),X3)))|~hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X2),X3)))).
% 0.47/0.95  cnf(i_0_627, plain, (hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))),collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X3)))))|~hBOOL(hAPP_f1664156314l_bool(hAPP_f434788991l_bool(ord_le313189616e_bool,X2),X3)))).
% 0.47/0.95  cnf(i_0_846, plain, (X1=X2|X2=X3|cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X1))),hAPP_n1699378549t_bool(fequal_nat,X3))!=cOMBS_nat_bool_bool(cOMBB_1015721476ol_nat(fimplies,cOMBB_bool_bool_nat(fNot,hAPP_n1699378549t_bool(fequal_nat,X4))),hAPP_n1699378549t_bool(fequal_nat,X2)))).
% 0.47/0.95  cnf(i_0_841, plain, (X1=X2|X2=X3|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2))),hAPP_p61793385e_bool(fequal_pname,X4)))!=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X3))),hAPP_p61793385e_bool(fequal_pname,X1)))|~is_pname(X4)|~is_pname(X3)|~is_pname(X2)|~is_pname(X1))).
% 0.47/0.95  cnf(i_0_840, plain, (X1=X2|X2=X3|collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),hAPP_p61793385e_bool(fequal_pname,X3)))!=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X4))),hAPP_p61793385e_bool(fequal_pname,X2)))|~is_pname(X4)|~is_pname(X3)|~is_pname(X2)|~is_pname(X1))).
% 0.47/0.95  cnf(i_0_837, plain, (collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1))),hAPP_p61793385e_bool(fequal_pname,X2)))=collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fimplies,cOMBB_647938656_pname(fNot,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X2))),hAPP_p61793385e_bool(fequal_pname,X1)))|~is_pname(X2)|~is_pname(X1))).
% 0.47/0.95  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.47/0.95  # Begin printing tableau
% 0.47/0.95  # Found 6 steps
% 0.47/0.95  cnf(i_0_1363, negated_conjecture, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u)))), inference(start_rule)).
% 0.47/0.95  cnf(i_0_1481, plain, (~hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u)))), inference(extension_rule, [i_0_949])).
% 0.47/0.95  cnf(i_0_2663, plain, (hBOOL(fFalse)), inference(closure_rule, [i_0_1258])).
% 0.47/0.95  cnf(i_0_2665, plain, (~hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,bot_bot_bool),fFalse))), inference(closure_rule, [i_0_827])).
% 0.47/0.95  cnf(i_0_2662, plain, (hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,bot_bot_bool),hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))))), inference(extension_rule, [i_0_1250])).
% 0.47/0.95  cnf(i_0_3695, plain, (~hBOOL(hAPP_bool_bool(fNot,hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,bot_bot_bool),hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u)))))), inference(etableau_closure_rule, [i_0_3695, ...])).
% 0.47/0.95  # End printing tableau
% 0.47/0.95  # SZS output end
% 0.47/0.95  # Branches closed with saturation will be marked with an "s"
% 0.47/0.96  # Child (14165) has found a proof.
% 0.47/0.96  
% 0.47/0.96  # Proof search is over...
% 0.47/0.96  # Freeing feature tree
%------------------------------------------------------------------------------