TSTP Solution File: SWW473+7 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWW473+7 : 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 : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 00:13:06 EDT 2022
% Result : Theorem 21.80s 3.33s
% Output : CNFRefutation 21.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW473+7 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 6 02:40:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.37/0.55 # No SInE strategy applied
% 0.37/0.55 # Auto-Mode selected heuristic G_E___200_C41_F1_AE_CS_SP_PI_S0Y
% 0.37/0.55 # and selection function SelectMaxLComplexAvoidPosPred.
% 0.37/0.55 #
% 0.37/0.55 # Number of axioms: 1671 Number of unprocessed: 1671
% 0.37/0.55 # Tableaux proof search.
% 0.37/0.55 # APR header successfully linked.
% 0.37/0.55 # Hello from C++
% 0.48/0.63 # The folding up rule is enabled...
% 0.48/0.63 # Local unification is enabled...
% 0.48/0.63 # Any saturation attempts will use folding labels...
% 0.48/0.63 # 1671 beginning clauses after preprocessing and clausification
% 0.48/0.63 # Creating start rules for all 1 conjectures.
% 0.48/0.63 # There are 1 start rule candidates:
% 0.48/0.63 # Found 351 unit axioms.
% 0.48/0.63 # 1 start rule tableaux created.
% 0.48/0.63 # 1320 extension rule candidate clauses
% 0.48/0.63 # 351 unit axiom clauses
% 0.48/0.63
% 0.48/0.63 # Requested 8, 32 cores available to the main process.
% 0.48/0.63 # There are not enough tableaux to fork, creating more from the initial 1
% 0.48/0.63 # Returning from population with 103 new_tableaux and 0 remaining starting tableaux.
% 0.48/0.63 # We now have 103 tableaux to operate on
% 21.80/3.33 # There were 1 total branch saturation attempts.
% 21.80/3.33 # There were 0 of these attempts blocked.
% 21.80/3.33 # There were 0 deferred branch saturation attempts.
% 21.80/3.33 # There were 0 free duplicated saturations.
% 21.80/3.33 # There were 1 total successful branch saturations.
% 21.80/3.33 # There were 0 successful branch saturations in interreduction.
% 21.80/3.33 # There were 0 successful branch saturations on the branch.
% 21.80/3.33 # There were 1 successful branch saturations after the branch.
% 21.80/3.33 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.80/3.33 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.80/3.33 # Begin clausification derivation
% 21.80/3.33
% 21.80/3.33 # End clausification derivation
% 21.80/3.33 # Begin listing active clauses obtained from FOF to CNF conversion
% 21.80/3.33 cnf(i_0_1576, plain, (zero_zero(int)=pls)).
% 21.80/3.33 cnf(i_0_1617, plain, (ordere142940540dd_abs(int))).
% 21.80/3.33 cnf(i_0_1707, plain, (minus(bool))).
% 21.80/3.33 cnf(i_0_1698, plain, (minus(nat))).
% 21.80/3.33 cnf(i_0_1659, plain, (minus(int))).
% 21.80/3.33 cnf(i_0_1701, plain, (one(nat))).
% 21.80/3.33 cnf(i_0_1663, plain, (one(int))).
% 21.80/3.33 cnf(i_0_1691, plain, (monoid_add(nat))).
% 21.80/3.33 cnf(i_0_1649, plain, (monoid_add(int))).
% 21.80/3.33 cnf(i_0_1674, plain, (cancel_semigroup_add(nat))).
% 21.80/3.33 cnf(i_0_1627, plain, (cancel_semigroup_add(int))).
% 21.80/3.33 cnf(i_0_1679, plain, (ab_semigroup_add(nat))).
% 21.80/3.33 cnf(i_0_1632, plain, (ab_semigroup_add(int))).
% 21.80/3.33 cnf(i_0_1677, plain, (ab_semigroup_mult(nat))).
% 21.80/3.33 cnf(i_0_1630, plain, (ab_semigroup_mult(int))).
% 21.80/3.33 cnf(i_0_1690, plain, (monoid_mult(nat))).
% 21.80/3.33 cnf(i_0_1648, plain, (monoid_mult(int))).
% 21.80/3.33 cnf(i_0_1695, plain, (semiring(nat))).
% 21.80/3.33 cnf(i_0_1656, plain, (semiring(int))).
% 21.80/3.33 cnf(i_0_1681, plain, (no_zero_divisors(nat))).
% 21.80/3.33 cnf(i_0_1635, plain, (no_zero_divisors(int))).
% 21.80/3.33 cnf(i_0_1693, plain, (mult_zero(nat))).
% 21.80/3.33 cnf(i_0_1652, plain, (mult_zero(int))).
% 21.80/3.33 cnf(i_0_1699, plain, (zero(nat))).
% 21.80/3.33 cnf(i_0_1660, plain, (zero(int))).
% 21.80/3.33 cnf(i_0_1700, plain, (number(nat))).
% 21.80/3.33 cnf(i_0_1662, plain, (number(int))).
% 21.80/3.33 cnf(i_0_1658, plain, (ring_1(int))).
% 21.80/3.33 cnf(i_0_1692, plain, (semiring_1(nat))).
% 21.80/3.33 cnf(i_0_1650, plain, (semiring_1(int))).
% 21.80/3.33 cnf(i_0_1706, plain, (bot(bool))).
% 21.80/3.33 cnf(i_0_1697, plain, (bot(nat))).
% 21.80/3.33 cnf(i_0_1705, plain, (ord(bool))).
% 21.80/3.33 cnf(i_0_1696, plain, (ord(nat))).
% 21.80/3.33 cnf(i_0_1657, plain, (ord(int))).
% 21.80/3.33 cnf(i_0_1703, plain, (finite_finite_1(bool))).
% 21.80/3.33 cnf(i_0_1704, plain, (order(bool))).
% 21.80/3.33 cnf(i_0_1694, plain, (order(nat))).
% 21.80/3.33 cnf(i_0_1653, plain, (order(int))).
% 21.80/3.33 cnf(i_0_1702, plain, (preorder(bool))).
% 21.80/3.33 cnf(i_0_1688, plain, (preorder(nat))).
% 21.80/3.33 cnf(i_0_1646, plain, (preorder(int))).
% 21.80/3.33 cnf(i_0_1689, plain, (linorder(nat))).
% 21.80/3.33 cnf(i_0_1647, plain, (linorder(int))).
% 21.80/3.33 cnf(i_0_1626, plain, (ordered_ab_group_add(int))).
% 21.80/3.33 cnf(i_0_1643, plain, (ab_group_add(int))).
% 21.80/3.33 cnf(i_0_1671, plain, (cancel146912293up_add(nat))).
% 21.80/3.33 cnf(i_0_1620, plain, (cancel146912293up_add(int))).
% 21.80/3.33 cnf(i_0_1666, plain, (ordere236663937imp_le(nat))).
% 21.80/3.33 cnf(i_0_1612, plain, (ordere236663937imp_le(int))).
% 21.80/3.33 cnf(i_0_1669, plain, (ordere779506340up_add(nat))).
% 21.80/3.33 cnf(i_0_1616, plain, (ordere779506340up_add(int))).
% 21.80/3.33 cnf(i_0_1651, plain, (group_add(int))).
% 21.80/3.33 cnf(i_0_1665, plain, (ordere223160158up_add(nat))).
% 21.80/3.33 cnf(i_0_1611, plain, (ordere223160158up_add(int))).
% 21.80/3.33 cnf(i_0_1676, plain, (linordered_semidom(nat))).
% 21.80/3.33 cnf(i_0_1629, plain, (linordered_semidom(int))).
% 21.80/3.33 cnf(i_0_1638, plain, (linordered_idom(int))).
% 21.80/3.33 cnf(i_0_1687, plain, (zero_neq_one(nat))).
% 21.80/3.33 cnf(i_0_1644, plain, (zero_neq_one(int))).
% 21.80/3.33 cnf(i_0_1682, plain, (comm_monoid_add(nat))).
% 21.80/3.33 cnf(i_0_1636, plain, (comm_monoid_add(int))).
% 21.80/3.33 cnf(i_0_1619, plain, (linord219039673up_add(int))).
% 21.80/3.33 cnf(i_0_1670, plain, (ordere216010020id_add(nat))).
% 21.80/3.33 cnf(i_0_1618, plain, (ordere216010020id_add(int))).
% 21.80/3.33 cnf(i_0_1683, plain, (comm_semiring_1(nat))).
% 21.80/3.33 cnf(i_0_1639, plain, (comm_semiring_1(int))).
% 21.80/3.33 cnf(i_0_1664, plain, (semiri456707255roduct(nat))).
% 21.80/3.33 cnf(i_0_1610, plain, (semiri456707255roduct(int))).
% 21.80/3.33 cnf(i_0_1614, plain, (linord626643107strict(int))).
% 21.80/3.33 cnf(i_0_1623, plain, (ring_n68954251visors(int))).
% 21.80/3.33 cnf(i_0_1684, plain, (comm_semiring(nat))).
% 21.80/3.33 cnf(i_0_1640, plain, (comm_semiring(int))).
% 21.80/3.33 cnf(i_0_1678, plain, (comm_monoid_mult(nat))).
% 21.80/3.33 cnf(i_0_1631, plain, (comm_monoid_mult(int))).
% 21.80/3.33 cnf(i_0_1655, plain, (number_ring(int))).
% 21.80/3.33 cnf(i_0_1654, plain, (ring_char_0(int))).
% 21.80/3.33 cnf(i_0_1661, plain, (ring(int))).
% 21.80/3.33 cnf(i_0_1672, plain, (ordere453448008miring(nat))).
% 21.80/3.33 cnf(i_0_1621, plain, (ordere453448008miring(int))).
% 21.80/3.33 cnf(i_0_1645, plain, (ordered_ring(int))).
% 21.80/3.33 cnf(i_0_1680, plain, (ordered_semiring(nat))).
% 21.80/3.33 cnf(i_0_1633, plain, (ordered_semiring(int))).
% 21.80/3.33 cnf(i_0_1673, plain, (ordere1490568538miring(nat))).
% 21.80/3.33 cnf(i_0_1624, plain, (ordere1490568538miring(int))).
% 21.80/3.33 cnf(i_0_1622, plain, (linord581940658strict(int))).
% 21.80/3.33 cnf(i_0_1637, plain, (linordered_ring(int))).
% 21.80/3.33 cnf(i_0_1668, plain, (linord20386208strict(nat))).
% 21.80/3.33 cnf(i_0_1615, plain, (linord20386208strict(int))).
% 21.80/3.33 cnf(i_0_1667, plain, (linord893533164strict(nat))).
% 21.80/3.33 cnf(i_0_1613, plain, (linord893533164strict(int))).
% 21.80/3.33 cnf(i_0_1675, plain, (linordered_semiring(nat))).
% 21.80/3.33 cnf(i_0_1628, plain, (linordered_semiring(int))).
% 21.80/3.33 cnf(i_0_1625, plain, (linord1278240602ring_1(int))).
% 21.80/3.33 cnf(i_0_1686, plain, (number_semiring(nat))).
% 21.80/3.33 cnf(i_0_1642, plain, (number_semiring(int))).
% 21.80/3.33 cnf(i_0_1685, plain, (semiring_char_0(nat))).
% 21.80/3.33 cnf(i_0_1641, plain, (semiring_char_0(int))).
% 21.80/3.33 cnf(i_0_1634, plain, (ordered_ring_abs(int))).
% 21.80/3.33 cnf(i_0_1726, plain, (~hBOOL(fFalse))).
% 21.80/3.33 cnf(i_0_763, plain, (bot_bot(nat)=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_1261, plain, (one_one(int)!=zero_zero(int))).
% 21.80/3.33 cnf(i_0_747, plain, (one_one(X1)!=zero_zero(X1)|~zero_neq_one(X1))).
% 21.80/3.33 cnf(i_0_748, plain, (one_one(X1)!=zero_zero(X1)|~zero_neq_one(X1))).
% 21.80/3.33 cnf(i_0_1609, plain, (minus(fun(X2,X1))|~minus(X1))).
% 21.80/3.33 cnf(i_0_1608, plain, (bot(fun(X2,X1))|~bot(X1))).
% 21.80/3.33 cnf(i_0_1607, plain, (ord(fun(X2,X1))|~ord(X1))).
% 21.80/3.33 cnf(i_0_1606, plain, (order(fun(X2,X1))|~order(X1))).
% 21.80/3.33 cnf(i_0_1604, plain, (preorder(fun(X2,X1))|~preorder(X1))).
% 21.80/3.33 cnf(i_0_1605, plain, (finite_finite_1(fun(X2,X1))|~finite_finite_1(X2)|~finite_finite_1(X1))).
% 21.80/3.33 cnf(i_0_1708, plain, (finite_finite_1(sum_sum(X2,X1))|~finite_finite_1(X2)|~finite_finite_1(X1))).
% 21.80/3.33 cnf(i_0_70, hypothesis, (hAPP(pname,pname,combi(pname),pn)=pn)).
% 21.80/3.33 cnf(i_0_51, plain, (hAPP(bool,bool,combi(bool),fFalse)=fFalse)).
% 21.80/3.33 cnf(i_0_53, plain, (hAPP(bool,bool,combi(bool),fTrue)=fTrue)).
% 21.80/3.33 cnf(i_0_69, hypothesis, (hAPP(nat,nat,combi(nat),na)=na)).
% 21.80/3.33 cnf(i_0_31, plain, (hAPP(int,int,combi(int),pls)=pls)).
% 21.80/3.33 cnf(i_0_1260, plain, (hAPP(int,int,number_number_of(int),X1)=X1)).
% 21.80/3.33 cnf(i_0_841, plain, (hAPP(nat,nat,suc,zero_zero(nat))=one_one(nat))).
% 21.80/3.33 cnf(i_0_1575, plain, (hAPP(int,nat,number_number_of(nat),pls)=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_1567, plain, (hAPP(int,int,number_number_of(int),pls)=zero_zero(int))).
% 21.80/3.33 cnf(i_0_1574, plain, (hAPP(int,nat,number_number_of(nat),pls)=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_1389, plain, (hAPP(nat,int,semiring_1_of_nat(int),one_one(nat))=one_one(int))).
% 21.80/3.33 cnf(i_0_1390, plain, (hAPP(nat,int,semiring_1_of_nat(int),zero_zero(nat))=zero_zero(int))).
% 21.80/3.33 cnf(i_0_1354, plain, (hAPP(nat,int,semiring_1_of_nat(int),one_one(nat))=one_one(int))).
% 21.80/3.33 cnf(i_0_1355, plain, (hAPP(nat,int,semiring_1_of_nat(int),zero_zero(nat))=zero_zero(int))).
% 21.80/3.33 cnf(i_0_907, plain, (X1=zero_zero(nat)|hAPP(nat,nat,suc,esk95_1(X1))=X1)).
% 21.80/3.33 cnf(i_0_910, plain, (X1=zero_zero(nat)|hAPP(nat,nat,suc,esk97_1(X1))=X1)).
% 21.80/3.33 cnf(i_0_1356, plain, (hAPP(nat,int,semiring_1_of_nat(int),X1)=zero_zero(int)|X1!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_1571, plain, (hAPP(int,X1,number_number_of(X1),pls)=zero_zero(X1)|~number_ring(X1))).
% 21.80/3.33 cnf(i_0_1570, plain, (hAPP(int,X1,number_number_of(X1),pls)=zero_zero(X1)|~number_ring(X1))).
% 21.80/3.33 cnf(i_0_1569, plain, (hAPP(int,X1,number_number_of(X1),pls)=zero_zero(X1)|~number_semiring(X1))).
% 21.80/3.33 cnf(i_0_28, plain, (hAPP(X1,X1,combi(X1),undefined(X1))=undefined(X1))).
% 21.80/3.33 cnf(i_0_1353, plain, (hAPP(nat,X1,semiring_1_of_nat(X1),one_one(nat))=one_one(X1)|~semiring_1(X1))).
% 21.80/3.33 cnf(i_0_1352, plain, (hAPP(nat,X1,semiring_1_of_nat(X1),zero_zero(nat))=zero_zero(X1)|~semiring_1(X1))).
% 21.80/3.33 cnf(i_0_17, plain, (hAPP(X1,X1,combi(X1),one_one(X1))=one_one(X1)|~one(X1))).
% 21.80/3.33 cnf(i_0_26, plain, (hAPP(X1,X1,combi(X1),zero_zero(X1))=zero_zero(X1)|~zero(X1))).
% 21.80/3.33 cnf(i_0_42, plain, (hAPP(X1,X1,combi(X1),bot_bot(X1))=bot_bot(X1)|~bot(X1))).
% 21.80/3.33 cnf(i_0_1492, plain, (hAPP(X1,X1,abs_abs(X1),one_one(X1))=one_one(X1)|~linordered_idom(X1))).
% 21.80/3.33 cnf(i_0_1496, plain, (hAPP(X1,X1,abs_abs(X1),zero_zero(X1))=zero_zero(X1)|~ordere142940540dd_abs(X1))).
% 21.80/3.33 cnf(i_0_255, plain, (hAPP(X2,X1,bot_bot(fun(X2,X1)),X3)=bot_bot(X1)|~bot(X1))).
% 21.80/3.33 cnf(i_0_257, plain, (hAPP(X2,X1,bot_bot(fun(X2,X1)),X3)=bot_bot(X1)|~bot(X1))).
% 21.80/3.33 cnf(i_0_832, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),bot_bot(fun(X1,bool)))=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_66, hypothesis, (hAPP(fun(pname,bool),fun(pname,bool),combi(fun(pname,bool)),u)=u)).
% 21.80/3.33 cnf(i_0_68, hypothesis, (hAPP(fun(pname,x_a),fun(pname,x_a),combi(fun(pname,x_a)),mgt_call)=mgt_call)).
% 21.80/3.33 cnf(i_0_71, plain, (hAPP(fun(com,bool),fun(com,bool),combi(fun(com,bool)),wt)=wt)).
% 21.80/3.33 cnf(i_0_67, plain, (hAPP(fun(com,x_a),fun(com,x_a),combi(fun(com,x_a)),mgt)=mgt)).
% 21.80/3.33 cnf(i_0_52, plain, (hAPP(fun(bool,bool),fun(bool,bool),combi(fun(bool,bool)),fNot)=fNot)).
% 21.80/3.33 cnf(i_0_35, hypothesis, (hAPP(fun(nat,nat),fun(nat,nat),combi(fun(nat,nat)),suc)=suc)).
% 21.80/3.33 cnf(i_0_39, plain, (hAPP(fun(int,bool),fun(int,bool),combi(fun(int,bool)),nat_neg)=nat_neg)).
% 21.80/3.33 cnf(i_0_30, plain, (hAPP(fun(int,int),fun(int,int),combi(fun(int,int)),bit1)=bit1)).
% 21.80/3.33 cnf(i_0_34, plain, (hAPP(fun(int,int),fun(int,int),combi(fun(int,int)),succ)=succ)).
% 21.80/3.33 cnf(i_0_64, hypothesis, (hAPP(fun(x_a,bool),fun(x_a,bool),combi(fun(x_a,bool)),g)=g)).
% 21.80/3.33 cnf(i_0_33, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),ring_1_Ints(X1))=ring_1_Ints(X1)|~ring_1(X1))).
% 21.80/3.33 cnf(i_0_37, plain, (hAPP(fun(nat,X1),fun(nat,X1),combi(fun(nat,X1)),semiring_1_of_nat(X1))=semiring_1_of_nat(X1)|~semiring_1(X1))).
% 21.80/3.33 cnf(i_0_32, plain, (hAPP(fun(int,X1),fun(int,X1),combi(fun(int,X1)),number_number_of(X1))=number_number_of(X1)|~number(X1))).
% 21.80/3.33 cnf(i_0_3, plain, (hAPP(fun(X1,X1),fun(X1,X1),combi(fun(X1,X1)),combi(X1))=combi(X1))).
% 21.80/3.33 cnf(i_0_6, plain, (hAPP(fun(pname,option(com)),fun(pname,option(com)),combi(fun(pname,option(com))),body)=body)).
% 21.80/3.33 cnf(i_0_15, plain, (hAPP(fun(X1,X1),fun(X1,X1),combi(fun(X1,X1)),abs_abs(X1))=abs_abs(X1)|~ordere142940540dd_abs(X1))).
% 21.80/3.33 cnf(i_0_41, plain, (hAPP(fun(option(com),com),fun(option(com),com),combi(fun(option(com),com)),the_1(com))=the_1(com))).
% 21.80/3.33 cnf(i_0_1580, plain, (hAPP(int,int,bit1,X1)!=pls)).
% 21.80/3.33 cnf(i_0_1579, plain, (hAPP(int,int,bit1,X1)!=pls)).
% 21.80/3.33 cnf(i_0_94, plain, (hAPP(nat,nat,suc,X1)!=X1)).
% 21.80/3.33 cnf(i_0_93, plain, (hAPP(nat,nat,suc,X1)!=X1)).
% 21.80/3.33 cnf(i_0_777, plain, (hAPP(nat,nat,suc,X1)!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_780, plain, (hAPP(nat,nat,suc,X1)!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_781, plain, (hAPP(nat,nat,suc,X1)!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_776, plain, (hAPP(nat,nat,suc,X1)!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_778, plain, (hAPP(nat,nat,suc,X1)!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_779, plain, (hAPP(nat,nat,suc,X1)!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_1357, plain, (X1=zero_zero(nat)|hAPP(nat,int,semiring_1_of_nat(int),X1)!=zero_zero(int))).
% 21.80/3.33 cnf(i_0_1548, plain, (hAPP(int,int,succ,pls)=hAPP(int,int,bit1,pls))).
% 21.80/3.33 cnf(i_0_1714, plain, (hBOOL(X1)|hBOOL(hAPP(bool,bool,fNot,X1)))).
% 21.80/3.33 cnf(i_0_1712, plain, (hAPP(bool,bool,combi(bool),X1)=fFalse|hAPP(bool,bool,combi(bool),X1)=fTrue)).
% 21.80/3.33 cnf(i_0_1727, plain, (hAPP(bool,bool,combi(bool),X1)=fFalse|hAPP(bool,bool,combi(bool),X1)=fTrue)).
% 21.80/3.33 cnf(i_0_54, plain, (hAPP(fun(bool,fun(bool,bool)),fun(bool,fun(bool,bool)),combi(fun(bool,fun(bool,bool))),fconj)=fconj)).
% 21.80/3.33 cnf(i_0_55, plain, (hAPP(fun(bool,fun(bool,bool)),fun(bool,fun(bool,bool)),combi(fun(bool,fun(bool,bool))),fdisj)=fdisj)).
% 21.80/3.33 cnf(i_0_57, plain, (hAPP(fun(bool,fun(bool,bool)),fun(bool,fun(bool,bool)),combi(fun(bool,fun(bool,bool))),fimplies)=fimplies)).
% 21.80/3.33 cnf(i_0_40, plain, (hAPP(fun(int,fun(int,int)),fun(int,fun(int,int)),combi(fun(int,fun(int,int))),nat_tsub)=nat_tsub)).
% 21.80/3.33 cnf(i_0_61, hypothesis, (hBOOL(hAPP(bool,bool,combi(bool),X1))|~hBOOL(X1))).
% 21.80/3.33 cnf(i_0_1733, hypothesis, (hBOOL(hAPP(fun(pname,bool),bool,finite_finite(pname),u)))).
% 21.80/3.33 cnf(i_0_9, plain, (hAPP(fun(fun(X1,bool),bool),fun(fun(X1,bool),bool),combi(fun(fun(X1,bool),bool)),finite_finite(X1))=finite_finite(X1))).
% 21.80/3.33 cnf(i_0_7, plain, (hAPP(fun(fun(X1,bool),nat),fun(fun(X1,bool),nat),combi(fun(fun(X1,bool),nat)),finite_card(X1))=finite_card(X1))).
% 21.80/3.33 cnf(i_0_56, plain, (hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combi(fun(X1,fun(X1,bool))),fequal(X1))=fequal(X1))).
% 21.80/3.33 cnf(i_0_27, plain, (hAPP(fun(fun(X1,bool),X1),fun(fun(X1,bool),X1),combi(fun(fun(X1,bool),X1)),the(X1))=the(X1))).
% 21.80/3.33 cnf(i_0_49, plain, (hAPP(fun(fun(X1,bool),X1),fun(fun(X1,bool),X1),combi(fun(fun(X1,bool),X1)),the_elem(X1))=the_elem(X1))).
% 21.80/3.33 cnf(i_0_43, plain, (hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combi(fun(X1,fun(X1,bool))),ord_less(X1))=ord_less(X1)|~ord(X1))).
% 21.80/3.33 cnf(i_0_44, plain, (hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combi(fun(X1,fun(X1,bool))),ord_less_eq(X1))=ord_less_eq(X1)|~ord(X1))).
% 21.80/3.33 cnf(i_0_88, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~finite_finite_1(X1))).
% 21.80/3.33 cnf(i_0_89, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~finite_finite_1(X1))).
% 21.80/3.33 cnf(i_0_16, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),minus_minus(X1))=minus_minus(X1)|~minus(X1))).
% 21.80/3.33 cnf(i_0_18, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),plus_plus(X1))=plus_plus(X1)|~monoid_add(X1))).
% 21.80/3.33 cnf(i_0_19, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),plus_plus(X1))=plus_plus(X1)|~cancel_semigroup_add(X1))).
% 21.80/3.33 cnf(i_0_20, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),plus_plus(X1))=plus_plus(X1)|~ab_semigroup_add(X1))).
% 21.80/3.33 cnf(i_0_21, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),times_times(X1))=times_times(X1)|~ab_semigroup_mult(X1))).
% 21.80/3.33 cnf(i_0_22, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),times_times(X1))=times_times(X1)|~monoid_mult(X1))).
% 21.80/3.33 cnf(i_0_23, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),times_times(X1))=times_times(X1)|~semiring(X1))).
% 21.80/3.33 cnf(i_0_24, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),times_times(X1))=times_times(X1)|~no_zero_divisors(X1))).
% 21.80/3.33 cnf(i_0_25, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),times_times(X1))=times_times(X1)|~mult_zero(X1))).
% 21.80/3.33 cnf(i_0_4, plain, (hAPP(fun(X1,fun(X2,X1)),fun(X1,fun(X2,X1)),combi(fun(X1,fun(X2,X1))),combk(X1,X2))=combk(X1,X2))).
% 21.80/3.33 cnf(i_0_169, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2))).
% 21.80/3.33 cnf(i_0_240, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),bot_bot(fun(X1,bool)))))).
% 21.80/3.33 cnf(i_0_1495, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,abs_abs(X1),X2)!=zero_zero(X1)|~ordere142940540dd_abs(X1))).
% 21.80/3.33 cnf(i_0_1494, plain, (hAPP(X1,X1,abs_abs(X1),X2)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~ordere142940540dd_abs(X1))).
% 21.80/3.33 cnf(i_0_953, plain, (hBOOL(hAPP(fun(X1,fun(X1,X1)),bool,finite_comp_fun_idem(X1,X1),times_times(X1)))|~ab_sem1668676832m_mult(X1))).
% 21.80/3.33 cnf(i_0_1558, plain, (hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,pls))=one_one(nat))).
% 21.80/3.33 cnf(i_0_1560, plain, (hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls))=one_one(int))).
% 21.80/3.33 cnf(i_0_1559, plain, (hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,pls))=one_one(nat))).
% 21.80/3.33 cnf(i_0_46, plain, (hAPP(fun(fun(X1,bool),fun(X1,bool)),fun(fun(X1,bool),fun(X1,bool)),combi(fun(fun(X1,bool),fun(X1,bool))),collect(X1))=collect(X1))).
% 21.80/3.33 cnf(i_0_1401, plain, (hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,zero_zero(nat)))=one_one(int))).
% 21.80/3.33 cnf(i_0_1557, plain, (hAPP(int,X1,number_number_of(X1),hAPP(int,int,bit1,pls))=one_one(X1)|~number_ring(X1))).
% 21.80/3.33 cnf(i_0_1561, plain, (hAPP(int,X1,number_number_of(X1),hAPP(int,int,bit1,pls))=one_one(X1)|~number_ring(X1))).
% 21.80/3.33 cnf(i_0_1562, plain, (hAPP(int,X1,number_number_of(X1),hAPP(int,int,bit1,pls))=one_one(X1)|~number_semiring(X1))).
% 21.80/3.33 cnf(i_0_90, plain, (X1=X2|hAPP(nat,nat,suc,X1)!=hAPP(nat,nat,suc,X2))).
% 21.80/3.33 cnf(i_0_92, plain, (X1=X2|hAPP(nat,nat,suc,X1)!=hAPP(nat,nat,suc,X2))).
% 21.80/3.33 cnf(i_0_1578, plain, (X1=X2|hAPP(int,int,bit1,X1)!=hAPP(int,int,bit1,X2))).
% 21.80/3.33 cnf(i_0_1713, plain, (~hBOOL(X1)|~hBOOL(hAPP(bool,bool,fNot,X1)))).
% 21.80/3.33 cnf(i_0_1491, plain, (~hBOOL(hAPP(int,bool,nat_neg,one_one(int))))).
% 21.80/3.33 cnf(i_0_1493, plain, (~hBOOL(hAPP(int,bool,nat_neg,zero_zero(int))))).
% 21.80/3.33 cnf(i_0_1584, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),pls),X1)=pls)).
% 21.80/3.33 cnf(i_0_1582, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),pls),X1)=X1)).
% 21.80/3.33 cnf(i_0_1581, plain, (hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X1),pls)=X1)).
% 21.80/3.33 cnf(i_0_1583, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),pls)=X1)).
% 21.80/3.33 cnf(i_0_1425, plain, (X1=X2|hAPP(nat,int,semiring_1_of_nat(int),X1)!=hAPP(nat,int,semiring_1_of_nat(int),X2))).
% 21.80/3.33 cnf(i_0_1438, plain, (X1=X2|hAPP(nat,int,semiring_1_of_nat(int),X1)!=hAPP(nat,int,semiring_1_of_nat(int),X2))).
% 21.80/3.33 cnf(i_0_744, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X1)=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_745, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),zero_zero(nat))=X1)).
% 21.80/3.33 cnf(i_0_768, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),zero_zero(nat))=X1)).
% 21.80/3.33 cnf(i_0_978, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),one_one(nat))=X1)).
% 21.80/3.33 cnf(i_0_1202, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),zero_zero(int))=X1)).
% 21.80/3.33 cnf(i_0_1186, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),one_one(int))=X1)).
% 21.80/3.33 cnf(i_0_943, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),zero_zero(nat))=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_62, hypothesis, (hBOOL(X1)|~hBOOL(hAPP(bool,bool,combi(bool),X1)))).
% 21.80/3.33 cnf(i_0_881, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)=X2|X1!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_769, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),zero_zero(nat)),X1)=X1)).
% 21.80/3.33 cnf(i_0_982, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),one_one(nat)),X1)=X1)).
% 21.80/3.33 cnf(i_0_1203, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),zero_zero(int)),X1)=X1)).
% 21.80/3.33 cnf(i_0_1185, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),one_one(int)),X1)=X1)).
% 21.80/3.33 cnf(i_0_944, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)=zero_zero(nat)|X1!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_945, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=zero_zero(nat)|X1!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_1172, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=zero_zero(nat)|X1!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_746, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),zero_zero(nat)),X1)=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_942, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),zero_zero(nat)),X1)=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_979, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=one_one(nat)|X2!=one_one(nat)|X1!=one_one(nat))).
% 21.80/3.33 cnf(i_0_765, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)=zero_zero(nat)|X2!=zero_zero(nat)|X1!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_975, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=one_one(nat)|X2!=one_one(nat)|X1!=one_one(nat))).
% 21.80/3.33 cnf(i_0_1360, plain, (X2=X3|hAPP(nat,X1,semiring_1_of_nat(X1),X2)!=hAPP(nat,X1,semiring_1_of_nat(X1),X3)|~semiring_char_0(X1))).
% 21.80/3.33 cnf(i_0_991, plain, (X2=X3|hAPP(int,X1,number_number_of(X1),X2)!=hAPP(int,X1,number_number_of(X1),X3)|~number_ring(X1)|~ring_char_0(X1))).
% 21.80/3.33 cnf(i_0_759, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X2)=zero_zero(X1)|~group_add(X1))).
% 21.80/3.33 cnf(i_0_936, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),zero_zero(X1))=zero_zero(X1)|~mult_zero(X1))).
% 21.80/3.33 cnf(i_0_1027, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),zero_zero(X1))=zero_zero(X1)|~comm_semiring_1(X1))).
% 21.80/3.33 cnf(i_0_935, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),zero_zero(X1)),X2)=zero_zero(X1)|~mult_zero(X1))).
% 21.80/3.33 cnf(i_0_1026, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),zero_zero(X1)),X2)=zero_zero(X1)|~comm_semiring_1(X1))).
% 21.80/3.33 cnf(i_0_833, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)=zero_zero(nat)|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.33 cnf(i_0_852, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)=zero_zero(nat)|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.33 cnf(i_0_926, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)=zero_zero(nat)|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.33 cnf(i_0_853, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)=zero_zero(nat)|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool)))).
% 21.80/3.33 cnf(i_0_248, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)=bot_bot(fun(X1,bool))|hBOOL(hAPP(X1,bool,X2,esk18_2(X1,X2))))).
% 21.80/3.33 cnf(i_0_243, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)=bot_bot(fun(X1,bool))|hBOOL(hAPP(X1,bool,X2,esk17_2(X1,X2))))).
% 21.80/3.33 cnf(i_0_256, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(bool,fun(X1,bool),combk(bool,X1),fFalse))=bot_bot(fun(X1,bool)))).
% 21.80/3.33 cnf(i_0_63, plain, (hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(X1,fun(fun(X1,bool),bool)),combi(fun(X1,fun(fun(X1,bool),bool))),member(X1))=member(X1))).
% 21.80/3.33 cnf(i_0_45, plain, (hAPP(fun(X1,fun(fun(X1,bool),X1)),fun(X1,fun(fun(X1,bool),X1)),combi(fun(X1,fun(fun(X1,bool),X1))),partial_flat_lub(X1))=partial_flat_lub(X1))).
% 21.80/3.33 cnf(i_0_1554, plain, (hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,pls))=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_29, plain, (hAPP(fun(bool,fun(X1,fun(X1,X1))),fun(bool,fun(X1,fun(X1,X1))),combi(fun(bool,fun(X1,fun(X1,X1)))),if(X1))=if(X1))).
% 21.80/3.33 cnf(i_0_1500, plain, (hAPP(int,int,abs_abs(int),hAPP(nat,int,semiring_1_of_nat(int),X1))=hAPP(nat,int,semiring_1_of_nat(int),X1))).
% 21.80/3.33 cnf(i_0_60, plain, (hAPP(X1,X1,combi(X1),hAPP(X2,X1,X3,X4))=hAPP(X2,X1,X3,X4))).
% 21.80/3.33 cnf(i_0_59, plain, (hAPP(X1,X2,X3,hAPP(X1,X1,combi(X1),X4))=hAPP(X1,X2,X3,X4))).
% 21.80/3.33 cnf(i_0_1346, plain, (hAPP(int,X1,number_number_of(X1),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,X1,semiring_1_of_nat(X1),X2)|~number_semiring(X1))).
% 21.80/3.33 cnf(i_0_8, plain, (hAPP(fun(fun(X1,fun(X2,X2)),bool),fun(fun(X1,fun(X2,X2)),bool),combi(fun(fun(X1,fun(X2,X2)),bool)),finite_comp_fun_idem(X1,X2))=finite_comp_fun_idem(X1,X2))).
% 21.80/3.33 cnf(i_0_1709, plain, (hAPP(X1,X1,combi(X1),hAPP(X1,X1,combi(X1),X2))=hAPP(X1,X1,combi(X1),X2))).
% 21.80/3.33 cnf(i_0_1498, plain, (hAPP(X1,X1,abs_abs(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2))=hAPP(nat,X1,semiring_1_of_nat(X1),X2)|~linordered_idom(X1))).
% 21.80/3.33 cnf(i_0_65, plain, (hAPP(fun(fun(x_a,bool),fun(fun(x_a,bool),bool)),fun(fun(x_a,bool),fun(fun(x_a,bool),bool)),combi(fun(fun(x_a,bool),fun(fun(x_a,bool),bool))),p)=p)).
% 21.80/3.33 cnf(i_0_1490, plain, (hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,abs_abs(X1),X2))=hAPP(X1,X1,abs_abs(X1),X2)|~ordere142940540dd_abs(X1))).
% 21.80/3.33 cnf(i_0_644, plain, (hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1))=hAPP(nat,fun(nat,bool),ord_less(nat),X1))).
% 21.80/3.33 cnf(i_0_455, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat))=hAPP(nat,nat,suc,X1))).
% 21.80/3.33 cnf(i_0_1540, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),one_one(int))=hAPP(int,int,succ,X1))).
% 21.80/3.33 cnf(i_0_454, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),X1)=hAPP(nat,nat,suc,X1))).
% 21.80/3.33 cnf(i_0_971, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)=hAPP(X1,X1,combi(X1),X2)|~ab_sem1668676832m_mult(X1))).
% 21.80/3.33 cnf(i_0_972, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)=hAPP(X1,X1,combi(X1),X2)|~ab_sem1668676832m_mult(X1))).
% 21.80/3.33 cnf(i_0_760, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),zero_zero(X1))=hAPP(X1,X1,combi(X1),X2)|~group_add(X1))).
% 21.80/3.33 cnf(i_0_750, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),zero_zero(X1))=hAPP(X1,X1,combi(X1),X2)|~monoid_add(X1))).
% 21.80/3.33 cnf(i_0_749, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),zero_zero(X1))=hAPP(X1,X1,combi(X1),X2)|~comm_monoid_add(X1))).
% 21.80/3.33 cnf(i_0_922, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),zero_zero(X1))=hAPP(X1,X1,combi(X1),X2)|~comm_semiring_1(X1))).
% 21.80/3.33 cnf(i_0_957, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),one_one(X1))=hAPP(X1,X1,combi(X1),X2)|~monoid_mult(X1))).
% 21.80/3.33 cnf(i_0_1008, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),one_one(X1))=hAPP(X1,X1,combi(X1),X2)|~comm_semiring_1(X1))).
% 21.80/3.33 cnf(i_0_956, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),one_one(X1))=hAPP(X1,X1,combi(X1),X2)|~comm_monoid_mult(X1))).
% 21.80/3.33 cnf(i_0_754, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),zero_zero(X1)),X2)=hAPP(X1,X1,combi(X1),X2)|~monoid_add(X1))).
% 21.80/3.33 cnf(i_0_753, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),zero_zero(X1)),X2)=hAPP(X1,X1,combi(X1),X2)|~comm_monoid_add(X1))).
% 21.80/3.33 cnf(i_0_913, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),zero_zero(X1)),X2)=hAPP(X1,X1,combi(X1),X2)|~comm_semiring_1(X1))).
% 21.80/3.33 cnf(i_0_959, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),one_one(X1)),X2)=hAPP(X1,X1,combi(X1),X2)|~monoid_mult(X1))).
% 21.80/3.33 cnf(i_0_1007, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),one_one(X1)),X2)=hAPP(X1,X1,combi(X1),X2)|~comm_semiring_1(X1))).
% 21.80/3.33 cnf(i_0_958, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),one_one(X1)),X2)=hAPP(X1,X1,combi(X1),X2)|~comm_monoid_mult(X1))).
% 21.80/3.33 cnf(i_0_471, plain, (hAPP(fun(X1,bool),X1,the(X1),hAPP(X1,fun(X1,bool),fequal(X1),X2))=hAPP(X1,X1,combi(X1),X2))).
% 21.80/3.33 cnf(i_0_1718, plain, (hAPP(X1,X2,hAPP(X2,fun(X1,X2),combk(X2,X1),X3),X4)=hAPP(X2,X2,combi(X2),X3))).
% 21.80/3.33 cnf(i_0_339, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool)))).
% 21.80/3.33 cnf(i_0_1430, plain, (hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),bot_bot(fun(nat,bool)))=bot_bot(fun(int,bool)))).
% 21.80/3.33 cnf(i_0_891, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)=zero_zero(nat)|one_one(nat)!=zero_zero(nat)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.33 cnf(i_0_470, plain, (hBOOL(hAPP(fun(X1,fun(fun(X1,bool),fun(X1,bool))),bool,finite_comp_fun_idem(X1,fun(X1,bool)),insert(X1))))).
% 21.80/3.33 cnf(i_0_38, plain, (hAPP(fun(fun(X1,X1),fun(nat,fun(X1,X1))),fun(fun(X1,X1),fun(nat,fun(X1,X1))),combi(fun(fun(X1,X1),fun(nat,fun(X1,X1)))),semiri532925092at_aux(X1))=semiri532925092at_aux(X1)|~semiring_1(X1))).
% 21.80/3.33 cnf(i_0_888, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),esk88_3(X1,X2,X3))=X3|hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=hAPP(nat,nat,suc,X3))).
% 21.80/3.33 cnf(i_0_904, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),esk94_3(X1,X2,X3))=X3|hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=hAPP(nat,nat,suc,X3))).
% 21.80/3.33 cnf(i_0_245, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X2)=bot_bot(fun(X1,bool)))).
% 21.80/3.33 cnf(i_0_295, plain, (hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),bot_bot(fun(X1,bool)))=bot_bot(fun(X2,bool)))).
% 21.80/3.33 cnf(i_0_58, plain, (hAPP(X1,X2,hAPP(fun(X1,X2),fun(X1,X2),combi(fun(X1,X2)),X3),X4)=hAPP(X1,X2,X3,X4))).
% 21.80/3.33 cnf(i_0_751, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~linord219039673up_add(X1))).
% 21.80/3.33 cnf(i_0_901, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~linord219039673up_add(X1))).
% 21.80/3.33 cnf(i_0_937, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~ring_n68954251visors(X1))).
% 21.80/3.33 cnf(i_0_938, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~ring_n68954251visors(X1))).
% 21.80/3.33 cnf(i_0_764, plain, (X2=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=X1)).
% 21.80/3.33 cnf(i_0_980, plain, (X1=one_one(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)!=one_one(nat))).
% 21.80/3.33 cnf(i_0_981, plain, (X1=one_one(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=one_one(nat))).
% 21.80/3.33 cnf(i_0_976, plain, (X1=one_one(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)!=one_one(nat))).
% 21.80/3.33 cnf(i_0_977, plain, (X1=one_one(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=one_one(nat))).
% 21.80/3.33 cnf(i_0_766, plain, (X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1)!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_767, plain, (X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_1121, plain, (X2=one_one(nat)|X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=X1)).
% 21.80/3.33 cnf(i_0_946, plain, (X2=zero_zero(nat)|X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_249, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.33 cnf(i_0_244, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.33 cnf(i_0_887, plain, (hAPP(fun(X2,bool),fun(X2,bool),combi(fun(X2,bool)),esk88_3(X2,X3,X1))=bot_bot(fun(X2,bool))|X1!=zero_zero(nat)|hAPP(fun(X2,bool),nat,finite_card(X2),X3)!=hAPP(nat,nat,suc,X1))).
% 21.80/3.33 cnf(i_0_903, plain, (hAPP(fun(X2,bool),fun(X2,bool),combi(fun(X2,bool)),esk94_3(X2,X3,X1))=bot_bot(fun(X2,bool))|X1!=zero_zero(nat)|hAPP(fun(X2,bool),nat,finite_card(X2),X3)!=hAPP(nat,nat,suc,X1))).
% 21.80/3.33 cnf(i_0_250, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),bot_bot(fun(X1,bool))),X2)=bot_bot(fun(X1,bool)))).
% 21.80/3.33 cnf(i_0_48, plain, (hAPP(fun(X1,fun(fun(X1,bool),fun(X1,bool))),fun(X1,fun(fun(X1,bool),fun(X1,bool))),combi(fun(X1,fun(fun(X1,bool),fun(X1,bool)))),insert(X1))=insert(X1))).
% 21.80/3.33 cnf(i_0_36, plain, (hAPP(fun(X1,fun(fun(nat,X1),fun(nat,X1))),fun(X1,fun(fun(nat,X1),fun(nat,X1))),combi(fun(X1,fun(fun(nat,X1),fun(nat,X1)))),nat_case(X1))=nat_case(X1))).
% 21.80/3.33 cnf(i_0_818, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)=hAPP(nat,nat,suc,zero_zero(nat))|X2!=zero_zero(nat)|X1!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_817, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)=hAPP(nat,nat,suc,zero_zero(nat))|X1!=zero_zero(nat)|X2!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_824, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)=hAPP(nat,nat,suc,zero_zero(nat))|X2!=zero_zero(nat)|X1!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_823, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)=hAPP(nat,nat,suc,zero_zero(nat))|X1!=zero_zero(nat)|X2!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_920, plain, (hAPP(X1,X1,combi(X1),X3)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X2)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~semiri456707255roduct(X1))).
% 21.80/3.33 cnf(i_0_201, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,X1),fun(fun(X1,bool),fun(X1,bool)),image(X1,X1),combi(X1)),X2)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2))).
% 21.80/3.33 cnf(i_0_752, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)!=zero_zero(X1)|~linord219039673up_add(X1))).
% 21.80/3.33 cnf(i_0_902, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)!=zero_zero(X1)|~linord219039673up_add(X1))).
% 21.80/3.33 cnf(i_0_47, plain, (hAPP(fun(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool))),fun(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool))),combi(fun(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)))),image(X1,X2))=image(X1,X2))).
% 21.80/3.33 cnf(i_0_1730, plain, (hBOOL(X1)|hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,X1),X2)))).
% 21.80/3.33 cnf(i_0_1724, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,X2),X1))|~hBOOL(X1))).
% 21.80/3.33 cnf(i_0_1723, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,X1),X2))|~hBOOL(X1))).
% 21.80/3.33 cnf(i_0_1731, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,X2),X1))|~hBOOL(X1))).
% 21.80/3.33 cnf(i_0_1586, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),pls)))).
% 21.80/3.33 cnf(i_0_1720, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,X1),X2))|~hBOOL(X2)|~hBOOL(X1))).
% 21.80/3.33 cnf(i_0_400, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1))).
% 21.80/3.33 cnf(i_0_1181, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1))).
% 21.80/3.33 cnf(i_0_1215, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X1))).
% 21.80/3.33 cnf(i_0_1187, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X1))).
% 21.80/3.33 cnf(i_0_99, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X1)))).
% 21.80/3.33 cnf(i_0_1216, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X1)))).
% 21.80/3.33 cnf(i_0_1573, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),hAPP(int,X1,number_number_of(X1),pls))=hAPP(X1,X1,combi(X1),X2)|~number_ring(X1))).
% 21.80/3.33 cnf(i_0_97, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|X1!=X2)).
% 21.80/3.33 cnf(i_0_604, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|X1!=X2)).
% 21.80/3.33 cnf(i_0_609, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|X1!=X2)).
% 21.80/3.33 cnf(i_0_950, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)|X1!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_947, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)|X1!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_1237, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)|X1!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_246, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),bot_bot(fun(X1,bool)))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2))).
% 21.80/3.33 cnf(i_0_740, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),zero_zero(nat)))|X1!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_738, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),X1)))).
% 21.80/3.33 cnf(i_0_742, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),X1)))).
% 21.80/3.33 cnf(i_0_770, plain, (X1=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.33 cnf(i_0_774, plain, (X1=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.33 cnf(i_0_1204, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),one_one(int))))).
% 21.80/3.33 cnf(i_0_1285, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),one_one(int))))).
% 21.80/3.33 cnf(i_0_1283, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),zero_zero(int))))).
% 21.80/3.33 cnf(i_0_146, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X2))|~preorder(X1))).
% 21.80/3.33 cnf(i_0_151, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|X2!=X3|~preorder(X1))).
% 21.80/3.33 cnf(i_0_758, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~ab_group_add(X1))).
% 21.80/3.33 cnf(i_0_755, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~group_add(X1))).
% 21.80/3.33 cnf(i_0_919, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X2)|~comm_semiring_1(X1))).
% 21.80/3.33 cnf(i_0_1009, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)|~comm_semiring_1(X1))).
% 21.80/3.33 cnf(i_0_820, plain, (X2=zero_zero(nat)|X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_826, plain, (X2=zero_zero(nat)|X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_301, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),bot_bot(X1)),X2))|~bot(X1))).
% 21.80/3.33 cnf(i_0_807, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),one_one(X1)))|~linordered_semidom(X1))).
% 21.80/3.33 cnf(i_0_806, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),one_one(X1)))|~linordered_semidom(X1))).
% 21.80/3.33 cnf(i_0_290, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)!=bot_bot(fun(X1,bool)))).
% 21.80/3.33 cnf(i_0_289, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)!=bot_bot(fun(X1,bool)))).
% 21.80/3.33 cnf(i_0_854, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=zero_zero(nat)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.33 cnf(i_0_296, plain, (hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),X4),X2)=bot_bot(fun(X3,bool))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool)))).
% 21.80/3.33 cnf(i_0_293, plain, (hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),X4),X2)=bot_bot(fun(X3,bool))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool)))).
% 21.80/3.33 cnf(i_0_372, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,X1)),one_one(nat))=X1)).
% 21.80/3.33 cnf(i_0_1, plain, (hAPP(fun(fun(X1,X2),fun(fun(X3,X1),fun(X3,X2))),fun(fun(X1,X2),fun(fun(X3,X1),fun(X3,X2))),combi(fun(fun(X1,X2),fun(fun(X3,X1),fun(X3,X2)))),combb(X1,X2,X3))=combb(X1,X2,X3))).
% 21.80/3.33 cnf(i_0_2, plain, (hAPP(fun(fun(X1,fun(X2,X3)),fun(X2,fun(X1,X3))),fun(fun(X1,fun(X2,X3)),fun(X2,fun(X1,X3))),combi(fun(fun(X1,fun(X2,X3)),fun(X2,fun(X1,X3)))),combc(X1,X2,X3))=combc(X1,X2,X3))).
% 21.80/3.33 cnf(i_0_1737, hypothesis, (hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)))).
% 21.80/3.33 cnf(i_0_757, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=zero_zero(X1)|~ab_group_add(X1))).
% 21.80/3.33 cnf(i_0_756, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=zero_zero(X1)|~group_add(X1))).
% 21.80/3.33 cnf(i_0_940, plain, (hAPP(X1,X1,combi(X1),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)!=zero_zero(X1)|~no_zero_divisors(X1))).
% 21.80/3.33 cnf(i_0_941, plain, (hAPP(X1,X1,combi(X1),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)!=zero_zero(X1)|~no_zero_divisors(X1))).
% 21.80/3.33 cnf(i_0_939, plain, (hAPP(X1,X1,combi(X1),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)!=zero_zero(X1)|~ring_n68954251visors(X1))).
% 21.80/3.33 cnf(i_0_1101, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=hAPP(nat,nat,suc,zero_zero(nat))|X2!=hAPP(nat,nat,suc,zero_zero(nat))|X1!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_893, plain, (hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|hBOOL(hAPP(nat,bool,X1,esk90_2(X2,X1)))|~hBOOL(hAPP(nat,bool,X1,X2)))).
% 21.80/3.33 cnf(i_0_912, plain, (hBOOL(hAPP(nat,bool,X1,X2))|hBOOL(hAPP(nat,bool,X1,esk98_2(X2,X1)))|~hBOOL(hAPP(nat,bool,X1,zero_zero(nat))))).
% 21.80/3.33 cnf(i_0_346, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk30_2(X1,X2)),esk31_2(X1,X2))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2))).
% 21.80/3.33 cnf(i_0_340, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),esk27_2(X1,X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.33 cnf(i_0_1102, plain, (X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_1103, plain, (X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_819, plain, (X1=zero_zero(nat)|X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_822, plain, (X1=zero_zero(nat)|X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_825, plain, (X1=zero_zero(nat)|X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_828, plain, (X1=zero_zero(nat)|X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_1006, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),one_one(X1)),ring_1_Ints(X1)))|~ring_1(X1))).
% 21.80/3.33 cnf(i_0_1005, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),zero_zero(X1)),ring_1_Ints(X1)))|~ring_1(X1))).
% 21.80/3.33 cnf(i_0_570, plain, (hAPP(X1,X1,combi(X1),X2)=bot_bot(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),bot_bot(X1)),X2))|~bot(X1))).
% 21.80/3.33 cnf(i_0_921, plain, (hAPP(X1,X1,combi(X1),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)|~semiri456707255roduct(X1))).
% 21.80/3.33 cnf(i_0_307, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))=hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(X1,fun(X1,bool),fequal(X1),X2)))).
% 21.80/3.33 cnf(i_0_809, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|X1!=hAPP(nat,nat,suc,X2))).
% 21.80/3.33 cnf(i_0_1404, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),X1))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,X1)))).
% 21.80/3.33 cnf(i_0_473, plain, (hAPP(fun(X1,bool),X1,the(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,X2,esk41_3(X1,X2,X3)))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.33 cnf(i_0_299, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),bot_bot(X1)))|hAPP(X1,X1,combi(X1),X2)!=bot_bot(X1)|~bot(X1))).
% 21.80/3.33 cnf(i_0_908, plain, (hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X1,X2))|~hBOOL(hAPP(nat,bool,X1,esk96_1(X1))))).
% 21.80/3.33 cnf(i_0_1406, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),hAPP(nat,X1,semiring_1_of_nat(X1),X2))=hAPP(nat,X1,semiring_1_of_nat(X1),hAPP(nat,nat,suc,X2))|~semiring_1(X1))).
% 21.80/3.33 cnf(i_0_1541, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),hAPP(int,X1,number_number_of(X1),X2))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,succ,X2))|~number_ring(X1))).
% 21.80/3.33 cnf(i_0_1465, plain, (hBOOL(hAPP(int,bool,nat_neg,X1))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.33 cnf(i_0_1572, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),pls)),X2)=hAPP(X1,X1,combi(X1),X2)|~number_ring(X1))).
% 21.80/3.33 cnf(i_0_182, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X2)))).
% 21.80/3.33 cnf(i_0_821, plain, (X2=hAPP(nat,nat,suc,zero_zero(nat))|X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_827, plain, (X2=hAPP(nat,nat,suc,zero_zero(nat))|X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.33 cnf(i_0_5, plain, (hAPP(fun(fun(X1,fun(X2,X3)),fun(fun(X1,X2),fun(X1,X3))),fun(fun(X1,fun(X2,X3)),fun(fun(X1,X2),fun(X1,X3))),combi(fun(fun(X1,fun(X2,X3)),fun(fun(X1,X2),fun(X1,X3)))),combs(X1,X2,X3))=combs(X1,X2,X3))).
% 21.80/3.33 cnf(i_0_297, plain, (hAPP(fun(X2,bool),fun(X2,bool),combi(fun(X2,bool)),X4)=bot_bot(fun(X2,bool))|hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X4)!=bot_bot(fun(X1,bool)))).
% 21.80/3.33 cnf(i_0_294, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X4)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X4)!=bot_bot(fun(X2,bool)))).
% 21.80/3.33 cnf(i_0_1397, plain, (hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(int,bool,X1,esk127_1(X1))))).
% 21.80/3.33 cnf(i_0_472, plain, (hAPP(fun(X1,bool),X1,the(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(X1,X1,combi(X1),esk41_3(X1,X2,X3))!=hAPP(X1,X1,combi(X1),X3)|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.33 cnf(i_0_1444, plain, (hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,semiring_1_of_nat(int),esk134_1(X1))),hAPP(nat,int,semiring_1_of_nat(int),esk135_1(X1)))=X1)).
% 21.80/3.33 cnf(i_0_251, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk19_2(X1,X2)),X2)))).
% 21.80/3.33 cnf(i_0_254, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk20_2(X1,X2)),X2)))).
% 21.80/3.33 cnf(i_0_1551, plain, (~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),pls))))).
% 21.80/3.33 cnf(i_0_241, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),bot_bot(fun(X1,bool))),X2)))).
% 21.80/3.33 cnf(i_0_1499, plain, (~hBOOL(hAPP(int,bool,nat_neg,hAPP(nat,int,semiring_1_of_nat(int),X1))))).
% 21.80/3.33 cnf(i_0_13, plain, (hAPP(fun(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool)),fun(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool)),combi(fun(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool))),finite_folding_one(X1))=finite_folding_one(X1))).
% 21.80/3.33 cnf(i_0_14, plain, (hAPP(fun(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool)),fun(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool)),combi(fun(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool))),finite2073411215e_idem(X1))=finite2073411215e_idem(X1))).
% 21.80/3.33 cnf(i_0_1463, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))|~hBOOL(hAPP(int,bool,nat_neg,X1)))).
% 21.80/3.33 cnf(i_0_1342, plain, (hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,X2),X1)=zero_zero(int)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.33 cnf(i_0_837, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2))=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_50, plain, (hAPP(fun(fun(X1,bool),fun(fun(X2,bool),fun(sum_sum(X1,X2),bool))),fun(fun(X1,bool),fun(fun(X2,bool),fun(sum_sum(X1,X2),bool))),combi(fun(fun(X1,bool),fun(fun(X2,bool),fun(sum_sum(X1,X2),bool)))),sum_Plus(X1,X2))=sum_Plus(X1,X2))).
% 21.80/3.33 cnf(i_0_1711, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),hAPP(bool,fun(X1,fun(X1,X1)),if(X1),fFalse),X2),X3)=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.33 cnf(i_0_1710, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),hAPP(bool,fun(X1,fun(X1,X1)),if(X1),fTrue),X2),X3)=hAPP(X1,X1,combi(X1),X2))).
% 21.80/3.33 cnf(i_0_1729, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),fequal(X1),X2),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.33 cnf(i_0_149, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1))).
% 21.80/3.33 cnf(i_0_150, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1))).
% 21.80/3.33 cnf(i_0_539, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1))).
% 21.80/3.33 cnf(i_0_392, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X2)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~cancel_semigroup_add(X1))).
% 21.80/3.33 cnf(i_0_394, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~cancel_semigroup_add(X1))).
% 21.80/3.33 cnf(i_0_687, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X2))|hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),esk56_2(X1,X2)),X2)))).
% 21.80/3.33 cnf(i_0_228, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),esk15_2(X1,X2)),X1)))).
% 21.80/3.33 cnf(i_0_615, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),esk46_2(X1,X2)),X1)))).
% 21.80/3.33 cnf(i_0_1722, plain, (hBOOL(X2)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,X1),X2)))).
% 21.80/3.33 cnf(i_0_1721, plain, (hBOOL(X1)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,X1),X2)))).
% 21.80/3.33 cnf(i_0_1725, plain, (hBOOL(X2)|hBOOL(X1)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,X1),X2)))).
% 21.80/3.33 cnf(i_0_1732, plain, (hBOOL(X2)|~hBOOL(X1)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,X1),X2)))).
% 21.80/3.33 cnf(i_0_1593, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),pls)))).
% 21.80/3.33 cnf(i_0_404, plain, (X2=X3|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3))).
% 21.80/3.33 cnf(i_0_406, plain, (X1=X3|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2))).
% 21.80/3.33 cnf(i_0_485, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X1)))).
% 21.80/3.33 cnf(i_0_490, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X1)))).
% 21.80/3.33 cnf(i_0_949, plain, (X2=X3|X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))).
% 21.80/3.33 cnf(i_0_1238, plain, (X2=X3|X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))).
% 21.80/3.33 cnf(i_0_952, plain, (X1=X3|X2=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2))).
% 21.80/3.33 cnf(i_0_486, plain, (X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.33 cnf(i_0_487, plain, (X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.33 cnf(i_0_491, plain, (X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.33 cnf(i_0_492, plain, (X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.33 cnf(i_0_602, plain, (X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.33 cnf(i_0_1224, plain, (X1!=X2|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.33 cnf(i_0_771, plain, (X2!=zero_zero(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.33 cnf(i_0_1518, plain, (hAPP(nat,int,semiring_1_of_nat(int),hAPP(int,nat,number_number_of(nat),X1))=hAPP(int,int,number_number_of(int),X1)|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.33 cnf(i_0_743, plain, (X1=X2|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)!=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_737, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),zero_zero(nat))))).
% 21.80/3.33 cnf(i_0_772, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),zero_zero(nat))))).
% 21.80/3.33 cnf(i_0_775, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),zero_zero(nat))))).
% 21.80/3.33 cnf(i_0_741, plain, (X1=zero_zero(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),zero_zero(nat))))).
% 21.80/3.33 cnf(i_0_1439, plain, (hAPP(X1,X1,hAPP(nat,fun(X1,X1),hAPP(fun(X1,X1),fun(nat,fun(X1,X1)),semiri532925092at_aux(X1),X2),zero_zero(nat)),X3)=hAPP(X1,X1,combi(X1),X3)|~semiring_1(X1))).
% 21.80/3.33 cnf(i_0_1455, plain, (hAPP(nat,X2,semiring_1_of_nat(X2),hAPP(int,nat,number_number_of(nat),X1))=hAPP(int,X2,number_number_of(X2),X1)|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1)))|~number_ring(X2))).
% 21.80/3.33 cnf(i_0_773, plain, (X1!=zero_zero(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.33 cnf(i_0_890, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk87_3(X1,X2,X3)),esk88_3(X1,X2,X3))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)|hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=hAPP(nat,nat,suc,X3))).
% 21.80/3.33 cnf(i_0_906, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk93_3(X1,X2,X3)),esk94_3(X1,X2,X3))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)|hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=hAPP(nat,nat,suc,X3))).
% 21.80/3.33 cnf(i_0_501, plain, (~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X2)))).
% 21.80/3.33 cnf(i_0_1563, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(int,X1,number_number_of(X1),hAPP(int,int,bit1,pls)))=hAPP(X1,X1,combi(X1),X2)|~number_ring(X1))).
% 21.80/3.33 cnf(i_0_482, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X1))))).
% 21.80/3.33 cnf(i_0_575, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|X1!=X2)).
% 21.80/3.33 cnf(i_0_568, plain, (~bot(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),bot_bot(X1))))).
% 21.80/3.33 cnf(i_0_814, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|X1!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_739, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,suc,X1))))).
% 21.80/3.33 cnf(i_0_811, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,zero_zero(nat))))|X1!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_1347, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(nat,int,semiring_1_of_nat(int),X1))))).
% 21.80/3.33 cnf(i_0_1392, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(nat,int,semiring_1_of_nat(int),X1))))).
% 21.80/3.33 cnf(i_0_1501, plain, (hAPP(int,nat,number_number_of(nat),X1)=zero_zero(nat)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.33 cnf(i_0_782, plain, (hAPP(nat,X1,hAPP(fun(nat,X1),fun(nat,X1),hAPP(X1,fun(fun(nat,X1),fun(nat,X1)),nat_case(X1),X2),X3),zero_zero(nat))=hAPP(X1,X1,combi(X1),X2))).
% 21.80/3.33 cnf(i_0_808, plain, (~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),zero_zero(X1))))).
% 21.80/3.33 cnf(i_0_805, plain, (~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),one_one(X1)),zero_zero(X1))))).
% 21.80/3.33 cnf(i_0_167, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.33 cnf(i_0_1480, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),hAPP(X1,X1,abs_abs(X1),X2)))|~ordere142940540dd_abs(X1))).
% 21.80/3.33 cnf(i_0_727, plain, (hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4)=bot_bot(fun(sum_sum(X1,X3),bool))|hAPP(fun(X3,bool),fun(X3,bool),combi(fun(X3,bool)),X4)!=bot_bot(fun(X3,bool))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool)))).
% 21.80/3.33 cnf(i_0_1349, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(nat,X1,semiring_1_of_nat(X1),X2)))|~linordered_semidom(X1))).
% 21.80/3.33 cnf(i_0_1350, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(nat,X1,semiring_1_of_nat(X1),X2)))|~linordered_semidom(X1))).
% 21.80/3.33 cnf(i_0_1469, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,abs_abs(X1),X2)))|~ordere142940540dd_abs(X1))).
% 21.80/3.33 cnf(i_0_729, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4)!=bot_bot(fun(sum_sum(X1,X3),bool)))).
% 21.80/3.33 cnf(i_0_728, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(sum_sum(X3,X1),bool),hAPP(fun(X3,bool),fun(fun(X1,bool),fun(sum_sum(X3,X1),bool)),sum_Plus(X3,X1),X4),X2)!=bot_bot(fun(sum_sum(X3,X1),bool)))).
% 21.80/3.33 cnf(i_0_1325, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,X1,esk114_3(X2,X1,X3)))|hBOOL(hAPP(int,bool,X1,esk115_3(X2,X1,X3)))|~hBOOL(hAPP(int,bool,X1,X3)))).
% 21.80/3.33 cnf(i_0_1386, plain, (hAPP(fun(int,bool),nat,finite_card(int),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1))=hAPP(fun(nat,bool),nat,finite_card(nat),X1))).
% 21.80/3.33 cnf(i_0_341, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk28_2(X1,X2)),esk27_2(X1,X2))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.33 cnf(i_0_343, plain, (hAPP(fun(X1,bool),X1,the_elem(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))=hAPP(X1,X1,combi(X1),X2))).
% 21.80/3.33 cnf(i_0_810, plain, (hAPP(nat,nat,suc,esk82_1(X1))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.33 cnf(i_0_898, plain, (hAPP(nat,nat,suc,esk92_1(X1))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.33 cnf(i_0_1421, plain, (hAPP(nat,int,semiring_1_of_nat(int),esk130_1(X1))=X1|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.33 cnf(i_0_1441, plain, (hAPP(nat,int,semiring_1_of_nat(int),esk131_1(X1))=X1|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.33 cnf(i_0_1442, plain, (hAPP(nat,int,semiring_1_of_nat(int),esk132_1(X1))=X1|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.33 cnf(i_0_1443, plain, (hAPP(nat,int,semiring_1_of_nat(int),esk133_1(X1))=X1|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.33 cnf(i_0_909, plain, (hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,suc,esk96_1(X1))))|~hBOOL(hAPP(nat,bool,X1,X2)))).
% 21.80/3.33 cnf(i_0_291, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),bot_bot(fun(X1,bool))))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool)))).
% 21.80/3.33 cnf(i_0_423, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|X1!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3))).
% 21.80/3.33 cnf(i_0_298, plain, (hAPP(X1,X1,combi(X1),X2)=bot_bot(X1)|~bot(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),bot_bot(X1))))).
% 21.80/3.33 cnf(i_0_300, plain, (hAPP(X1,X1,combi(X1),X2)=bot_bot(X1)|~bot(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),bot_bot(X1))))).
% 21.80/3.33 cnf(i_0_839, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)!=zero_zero(nat))).
% 21.80/3.33 cnf(i_0_1393, plain, (hBOOL(hAPP(int,bool,X1,esk126_1(X1)))|~hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),X2))))).
% 21.80/3.33 cnf(i_0_851, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),bot_bot(fun(X1,bool))))|~hBOOL(hAPP(X1,bool,bot_bot(fun(X1,bool)),X2)))).
% 21.80/3.33 cnf(i_0_1471, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,abs_abs(X1),X2)))|~ordere142940540dd_abs(X1))).
% 21.80/3.33 cnf(i_0_113, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,suc,X2)))|X1!=hAPP(nat,nat,suc,X2))).
% 21.80/3.33 cnf(i_0_318, plain, (hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),hAPP(X3,fun(X1,X3),combk(X3,X1),X4)),X2)=bot_bot(fun(X3,bool))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool)))).
% 21.80/3.33 cnf(i_0_884, plain, (hBOOL(hAPP(nat,bool,X2,zero_zero(nat)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk86_2(X1,X2)),X1))|~hBOOL(hAPP(nat,bool,X2,X1)))).
% 21.80/3.33 cnf(i_0_895, plain, (hBOOL(hAPP(nat,bool,X2,zero_zero(nat)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk90_2(X1,X2)),X1))|~hBOOL(hAPP(nat,bool,X2,X1)))).
% 21.80/3.33 cnf(i_0_1542, plain, (hAPP(int,nat,number_number_of(nat),hAPP(int,int,succ,X1))=hAPP(nat,nat,suc,hAPP(int,nat,number_number_of(nat),X1))|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.33 cnf(i_0_1462, plain, (hBOOL(hAPP(int,bool,nat_neg,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int))))).
% 21.80/3.33 cnf(i_0_569, plain, (hAPP(X1,X1,combi(X1),X2)!=bot_bot(X1)|~bot(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),bot_bot(X1)),X2)))).
% 21.80/3.33 cnf(i_0_690, plain, (X1=hAPP(nat,nat,suc,X2)|hAPP(nat,nat,suc,esk59_2(X2,X1))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1)))).
% 21.80/3.33 cnf(i_0_420, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,suc,X1)),X2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),hAPP(nat,nat,suc,X2)))).
% 21.80/3.33 cnf(i_0_120, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))).
% 21.80/3.33 cnf(i_0_1728, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),fequal(X1),X2),X3)))).
% 21.80/3.33 cnf(i_0_238, plain, (~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),bot_bot(fun(X1,bool)))))).
% 21.80/3.33 cnf(i_0_247, plain, (~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),bot_bot(fun(X1,bool)))))).
% 21.80/3.33 cnf(i_0_315, plain, (hAPP(nat,X1,hAPP(fun(nat,X1),fun(nat,X1),hAPP(X1,fun(fun(nat,X1),fun(nat,X1)),nat_case(X1),X2),X3),hAPP(nat,nat,suc,X4))=hAPP(nat,X1,X3,X4))).
% 21.80/3.33 cnf(i_0_166, plain, (hAPP(fun(X1,X2),fun(X1,X2),combi(fun(X1,X2)),X3)=hAPP(fun(X1,X2),fun(X1,X2),combi(fun(X1,X2)),X4)|hAPP(X1,X2,X3,esk6_4(X1,X2,X3,X4))!=hAPP(X1,X2,X4,esk6_4(X1,X2,X3,X4)))).
% 21.80/3.33 cnf(i_0_393, plain, (hAPP(X1,X1,combi(X1),X3)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)|~cancel_semigroup_add(X1))).
% 21.80/3.33 cnf(i_0_396, plain, (hAPP(X1,X1,combi(X1),X3)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)|~cancel_semigroup_add(X1))).
% 21.80/3.33 cnf(i_0_397, plain, (hAPP(X1,X1,combi(X1),X3)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)|~cancel146912293up_add(X1))).
% 21.80/3.33 cnf(i_0_395, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3)|~cancel_semigroup_add(X1))).
% 21.80/3.33 cnf(i_0_398, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3)|~cancel_semigroup_add(X1))).
% 21.80/3.33 cnf(i_0_1545, plain, (hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,X1))=zero_zero(nat)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.33 cnf(i_0_1543, plain, (hAPP(nat,nat,suc,hAPP(int,nat,number_number_of(nat),X1))=one_one(nat)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.33 cnf(i_0_1519, plain, (hAPP(nat,int,semiring_1_of_nat(int),hAPP(int,nat,number_number_of(nat),X1))=zero_zero(int)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.33 cnf(i_0_1473, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,abs_abs(X1),X2)|~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.33 cnf(i_0_1466, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,abs_abs(X1),X2)|~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.33 cnf(i_0_1398, plain, (hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),X2)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk127_1(X1))))).
% 21.80/3.33 cnf(i_0_418, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),hAPP(nat,nat,suc,X2))=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)))).
% 21.80/3.33 cnf(i_0_468, plain, (hAPP(fun(X1,bool),X1,the(X1),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X2))=hAPP(X1,X1,combi(X1),X2))).
% 21.80/3.33 cnf(i_0_1456, plain, (hAPP(nat,X2,semiring_1_of_nat(X2),hAPP(int,nat,number_number_of(nat),X1))=zero_zero(X2)|~number_ring(X2)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.33 cnf(i_0_892, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)=zero_zero(nat)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk89_2(X1,X2)),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.33 cnf(i_0_475, plain, (hBOOL(hAPP(X1,bool,X2,esk42_3(X1,X2,X3)))|hBOOL(hAPP(X1,bool,X2,hAPP(fun(X1,bool),X1,the(X1),X2)))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.33 cnf(i_0_479, plain, (hBOOL(hAPP(X1,bool,X2,esk44_3(X1,X2,X3)))|hBOOL(hAPP(X1,bool,X2,hAPP(fun(X1,bool),X1,the(X1),X2)))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.33 cnf(i_0_1497, plain, (hAPP(int,int,abs_abs(int),X1)=one_one(int)|hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2))!=one_one(int))).
% 21.80/3.33 cnf(i_0_331, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,esk24_3(X1,X2,X3)))|hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3)))).
% 21.80/3.33 cnf(i_0_98, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.33 cnf(i_0_1217, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X1))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.33 cnf(i_0_333, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),esk24_3(X1,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3)))).
% 21.80/3.33 cnf(i_0_488, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.33 cnf(i_0_489, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.33 cnf(i_0_1222, plain, (X1=X2|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X1))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.33 cnf(i_0_1487, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X2))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)|~linordered_idom(X1))).
% 21.80/3.33 cnf(i_0_686, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk56_2(X1,X2)),X1)))).
% 21.80/3.33 cnf(i_0_614, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk46_2(X1,X2)),X2)))).
% 21.80/3.33 cnf(i_0_227, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk15_2(X1,X2)),X2)))).
% 21.80/3.33 cnf(i_0_335, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|hBOOL(hAPP(fun(X1,bool),bool,X2,esk26_3(X1,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool)))))).
% 21.80/3.33 cnf(i_0_187, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.33 cnf(i_0_184, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.33 cnf(i_0_185, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.33 cnf(i_0_186, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.33 cnf(i_0_192, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.33 cnf(i_0_193, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.33 cnf(i_0_662, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.33 cnf(i_0_337, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),esk26_3(X1,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool)))))).
% 21.80/3.33 cnf(i_0_531, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linorder(X1))).
% 21.80/3.33 cnf(i_0_532, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linorder(X1))).
% 21.80/3.33 cnf(i_0_543, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linorder(X1))).
% 21.80/3.33 cnf(i_0_529, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~linorder(X1))).
% 21.80/3.33 cnf(i_0_542, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~linorder(X1))).
% 21.80/3.33 cnf(i_0_147, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linorder(X1))).
% 21.80/3.33 cnf(i_0_162, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linorder(X1))).
% 21.80/3.33 cnf(i_0_973, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)|~ab_sem1668676832m_mult(X1))).
% 21.80/3.33 cnf(i_0_838, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)=zero_zero(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.33 cnf(i_0_840, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)=zero_zero(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.33 cnf(i_0_1464, plain, (~hBOOL(hAPP(int,bool,nat_neg,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.33 cnf(i_0_424, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),esk38_2(X1,X2))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.33 cnf(i_0_896, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),esk91_2(X1,X2))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.33 cnf(i_0_1198, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)=one_one(int)|X2!=one_one(int)|X1!=one_one(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.33 cnf(i_0_512, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.33 cnf(i_0_515, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.33 cnf(i_0_516, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.33 cnf(i_0_534, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.33 cnf(i_0_502, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.33 cnf(i_0_503, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.33 cnf(i_0_505, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.33 cnf(i_0_1344, plain, (hAPP(nat,X2,semiring_1_of_nat(X2),hAPP(int,nat,number_number_of(nat),X1))=zero_zero(X2)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,number_number_of(int),X1)))|~number_ring(X2))).
% 21.80/3.33 cnf(i_0_474, plain, (hBOOL(hAPP(X1,bool,X2,hAPP(fun(X1,bool),X1,the(X1),X2)))|hAPP(X1,X1,combi(X1),esk42_3(X1,X2,X3))!=hAPP(X1,X1,combi(X1),X3)|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.33 cnf(i_0_478, plain, (hBOOL(hAPP(X1,bool,X2,hAPP(fun(X1,bool),X1,the(X1),X2)))|hAPP(X1,X1,combi(X1),esk44_3(X1,X2,X3))!=hAPP(X1,X1,combi(X1),X3)|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.33 cnf(i_0_168, plain, (hBOOL(hAPP(X1,bool,X3,X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.33 cnf(i_0_1431, plain, (X1=X2|hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1)!=hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X2))).
% 21.80/3.33 cnf(i_0_1555, plain, (hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,hAPP(int,int,bit1,pls)))=hAPP(nat,nat,suc,hAPP(nat,nat,suc,hAPP(nat,nat,suc,zero_zero(nat)))))).
% 21.80/3.33 cnf(i_0_924, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),esk99_3(X1,X2,X3)))|~linordered_field(X1))).
% 21.80/3.33 cnf(i_0_1176, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),esk100_3(X1,X2,X3)))|~linord1117847801e_zero(X1))).
% 21.80/3.33 cnf(i_0_252, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.33 cnf(i_0_242, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.33 cnf(i_0_253, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.33 cnf(i_0_658, plain, (~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),bot_bot(fun(X1,bool)))))).
% 21.80/3.33 cnf(i_0_345, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk30_2(X1,X2)),esk31_2(X1,X2))))).
% 21.80/3.33 cnf(i_0_1460, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,abs_abs(int),X1)),one_one(int)))|X1!=zero_zero(int))).
% 21.80/3.33 cnf(i_0_1399, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),zero_zero(int)))|X1!=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_419, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,suc,X1)),X2)=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_477, plain, (hAPP(fun(X1,bool),X1,the(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,X2,esk43_4(X1,X3,X2,X4)))|~hBOOL(hAPP(X1,bool,X2,X4))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.34 cnf(i_0_1374, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X1))|X1!=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),hAPP(nat,int,semiring_1_of_nat(int),X3)))).
% 21.80/3.34 cnf(i_0_1546, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),hAPP(int,nat,number_number_of(nat),X1))=hAPP(int,nat,number_number_of(nat),hAPP(int,int,succ,X1))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))).
% 21.80/3.34 cnf(i_0_338, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4)))).
% 21.80/3.34 cnf(i_0_1117, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),hAPP(nat,nat,suc,X2)))).
% 21.80/3.34 cnf(i_0_1716, plain, (hAPP(X1,X2,hAPP(X3,fun(X1,X2),hAPP(fun(X1,fun(X3,X2)),fun(X3,fun(X1,X2)),combc(X1,X3,X2),X4),X5),X6)=hAPP(X3,X2,hAPP(X1,fun(X3,X2),X4,X6),X5))).
% 21.80/3.34 cnf(i_0_1715, plain, (hAPP(X1,X2,hAPP(fun(X1,X3),fun(X1,X2),hAPP(fun(X3,X2),fun(fun(X1,X3),fun(X1,X2)),combb(X3,X2,X1),X4),X5),X6)=hAPP(X3,X2,X4,hAPP(X1,X3,X5,X6)))).
% 21.80/3.34 cnf(i_0_706, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk70_3(X1,X2,X3)),X3))|~dense_linorder(X1))).
% 21.80/3.34 cnf(i_0_850, plain, (hBOOL(hAPP(X1,bool,bot_bot(fun(X1,bool)),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),bot_bot(fun(X1,bool)))))).
% 21.80/3.34 cnf(i_0_1175, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk100_3(X1,X2,X3)),one_one(X1)))|~linord1117847801e_zero(X1))).
% 21.80/3.34 cnf(i_0_476, plain, (hAPP(fun(X1,bool),X1,the(X1),X3)=hAPP(X1,X1,combi(X1),X2)|hAPP(X1,X1,combi(X1),esk43_4(X1,X2,X3,X4))!=hAPP(X1,X1,combi(X1),X4)|~hBOOL(hAPP(X1,bool,X3,X4))|~hBOOL(hAPP(X1,bool,X3,X2)))).
% 21.80/3.34 cnf(i_0_730, plain, (hAPP(fun(sum_sum(X3,X1),bool),nat,finite_card(sum_sum(X3,X1)),hAPP(fun(X1,bool),fun(sum_sum(X3,X1),bool),hAPP(fun(X3,bool),fun(fun(X1,bool),fun(sum_sum(X3,X1),bool)),sum_Plus(X3,X1),X4),X2))=zero_zero(nat)|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_731, plain, (hAPP(fun(sum_sum(X1,X3),bool),nat,finite_card(sum_sum(X1,X3)),hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4))=zero_zero(nat)|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_504, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hA# There were 1 total branch saturation attempts.
% 21.80/3.34 # There were 0 of these attempts blocked.
% 21.80/3.34 # There were 0 deferred branch saturation attempts.
% 21.80/3.34 # There were 0 free duplicated saturations.
% 21.80/3.34 # There were 1 total successful branch saturations.
% 21.80/3.34 # There were 0 successful branch saturations in interreduction.
% 21.80/3.34 # There were 0 successful branch saturations on the branch.
% 21.80/3.34 # There were 1 successful branch saturations after the branch.
% 21.80/3.34 PP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1))).
% 21.80/3.34 cnf(i_0_507, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1))).
% 21.80/3.34 cnf(i_0_508, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1))).
% 21.80/3.34 cnf(i_0_510, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1))).
% 21.80/3.34 cnf(i_0_511, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1))).
% 21.80/3.34 cnf(i_0_527, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1))).
% 21.80/3.34 cnf(i_0_669, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linordered_idom(X1))).
% 21.80/3.34 cnf(i_0_1199, plain, (X1=one_one(int)|hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X1)!=one_one(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))).
% 21.80/3.34 cnf(i_0_1200, plain, (X1=one_one(int)|hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)!=one_one(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.34 cnf(i_0_1488, plain, (hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3))=hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X3),X2))|~ordere142940540dd_abs(X1))).
% 21.80/3.34 cnf(i_0_1512, plain, (X1=X2|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X2)))|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1)))|hAPP(int,nat,number_number_of(nat),X1)!=hAPP(int,nat,number_number_of(nat),X2))).
% 21.80/3.34 cnf(i_0_911, plain, (hBOOL(hAPP(nat,bool,X1,X2))|~hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,suc,esk98_2(X2,X1)))))).
% 21.80/3.34 cnf(i_0_1547, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),hAPP(int,nat,number_number_of(nat),X1))=one_one(nat)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))).
% 21.80/3.34 cnf(i_0_1328, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,X1,esk115_3(X2,X1,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),esk114_3(X2,X1,X3)))|~hBOOL(hAPP(int,bool,X1,X3)))).
% 21.80/3.34 cnf(i_0_317, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),hAPP(X3,fun(X1,X3),combk(X3,X1),X4)),X2)=hAPP(fun(X3,bool),fun(X3,bool),hAPP(X3,fun(fun(X3,bool),fun(X3,bool)),insert(X3),X4),bot_bot(fun(X3,bool))))).
% 21.80/3.34 cnf(i_0_1375, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),hAPP(nat,int,semiring_1_of_nat(int),esk124_2(X1,X2)))=X2|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_292, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),bot_bot(fun(X1,bool)))))).
% 21.80/3.34 cnf(i_0_320, plain, (hAPP(X1,X1,combi(X1),X4)=hAPP(X1,X1,combi(X1),X5)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X4),X5)|~ab_group_add(X1))).
% 21.80/3.34 cnf(i_0_321, plain, (hAPP(X1,X1,combi(X1),X4)=hAPP(X1,X1,combi(X1),X5)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X4),X5)|~ab_group_add(X1))).
% 21.80/3.34 cnf(i_0_1358, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),ring_1_Ints(X1)))|~ring_1(X1))).
% 21.80/3.34 cnf(i_0_985, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(int,X1,number_number_of(X1),X2)),ring_1_Ints(X1)))|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_435, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X2)=X1)).
% 21.80/3.34 cnf(i_0_436, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X1)=X2)).
% 21.80/3.34 cnf(i_0_640, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))=X1|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1394, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk126_1(X1)))|~hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),X2))))).
% 21.80/3.34 cnf(i_0_875, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(fun(X1,bool),nat,finite_card(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_279, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))).
% 21.80/3.34 cnf(i_0_306, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X2))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))).
% 21.80/3.34 cnf(i_0_1326, plain, (hBOOL(hAPP(int,bool,X2,X1))|hBOOL(hAPP(int,bool,X2,esk114_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk115_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,X2,X3)))).
% 21.80/3.34 cnf(i_0_1564, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),hAPP(int,int,bit1,pls))),X2)=hAPP(X1,X1,combi(X1),X2)|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_544, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~linorder(X1))).
% 21.80/3.34 cnf(i_0_812, plain, (X1=zero_zero(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,zero_zero(nat)))))).
% 21.80/3.34 cnf(i_0_1343, plain, (hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),X1)=hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,X2),X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1420, plain, (hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),X1)=hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,X2),X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_603, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_605, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_607, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_610, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_611, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1225, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_601, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_606, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_608, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1223, plain, (X1=X2|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1467, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,abs_abs(X1),X2)),zero_zero(X1)))|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~ordere142940540dd_abs(X1))).
% 21.80/3.34 cnf(i_0_1206, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),X1)))).
% 21.80/3.34 cnf(i_0_1205, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.34 cnf(i_0_1384, plain, (hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1422, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),esk130_1(X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.34 cnf(i_0_1377, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1372, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1385, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1195, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,number_number_of(int),X1)),hAPP(int,int,number_number_of(int),X2))=hAPP(int,int,number_number_of(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1376, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1379, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1188, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),X1)),hAPP(int,int,number_number_of(int),X2))=hAPP(int,int,number_number_of(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_897, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),esk91_2(X1,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1118, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X1)),X2))).
% 21.80/3.34 cnf(i_0_574, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),hAPP(nat,nat,suc,X1))))).
% 21.80/3.34 cnf(i_0_580, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|X1!=X2)).
% 21.80/3.34 cnf(i_0_1122, plain, (hAPP(X1,X1,hAPP(X1,# SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.80/3.34 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.80/3.34 # Begin clausification derivation
% 21.80/3.34
% 21.80/3.34 # End clausification derivation
% 21.80/3.34 # Begin listing active clauses obtained from FOF to CNF conversion
% 21.80/3.34 cnf(i_0_1576, plain, (zero_zero(int)=pls)).
% 21.80/3.34 cnf(i_0_1617, plain, (ordere142940540dd_abs(int))).
% 21.80/3.34 cnf(i_0_1707, plain, (minus(bool))).
% 21.80/3.34 cnf(i_0_1698, plain, (minus(nat))).
% 21.80/3.34 cnf(i_0_1659, plain, (minus(int))).
% 21.80/3.34 cnf(i_0_1701, plain, (one(nat))).
% 21.80/3.34 cnf(i_0_1663, plain, (one(int))).
% 21.80/3.34 cnf(i_0_1691, plain, (monoid_add(nat))).
% 21.80/3.34 cnf(i_0_1649, plain, (monoid_add(int))).
% 21.80/3.34 cnf(i_0_1674, plain, (cancel_semigroup_add(nat))).
% 21.80/3.34 cnf(i_0_1627, plain, (cancel_semigroup_add(int))).
% 21.80/3.34 cnf(i_0_1679, plain, (ab_semigroup_add(nat))).
% 21.80/3.34 cnf(i_0_1632, plain, (ab_semigroup_add(int))).
% 21.80/3.34 cnf(i_0_1677, plain, (ab_semigroup_mult(nat))).
% 21.80/3.34 cnf(i_0_1630, plain, (ab_semigroup_mult(int))).
% 21.80/3.34 cnf(i_0_1690, plain, (monoid_mult(nat))).
% 21.80/3.34 cnf(i_0_1648, plain, (monoid_mult(int))).
% 21.80/3.34 cnf(i_0_1695, plain, (semiring(nat))).
% 21.80/3.34 cnf(i_0_1656, plain, (semiring(int))).
% 21.80/3.34 cnf(i_0_1681, plain, (no_zero_divisors(nat))).
% 21.80/3.34 cnf(i_0_1635, plain, (no_zero_divisors(int))).
% 21.80/3.34 cnf(i_0_1693, plain, (mult_zero(nat))).
% 21.80/3.34 cnf(i_0_1652, plain, (mult_zero(int))).
% 21.80/3.34 cnf(i_0_1699, plain, (zero(nat))).
% 21.80/3.34 cnf(i_0_1660, plain, (zero(int))).
% 21.80/3.34 cnf(i_0_1700, plain, (number(nat))).
% 21.80/3.34 cnf(i_0_1662, plain, (number(int))).
% 21.80/3.34 cnf(i_0_1658, plain, (ring_1(int))).
% 21.80/3.34 cnf(i_0_1692, plain, (semiring_1(nat))).
% 21.80/3.34 cnf(i_0_1650, plain, (semiring_1(int))).
% 21.80/3.34 cnf(i_0_1706, plain, (bot(bool))).
% 21.80/3.34 cnf(i_0_1697, plain, (bot(nat))).
% 21.80/3.34 cnf(i_0_1705, plain, (ord(bool))).
% 21.80/3.34 cnf(i_0_1696, plain, (ord(nat))).
% 21.80/3.34 cnf(i_0_1657, plain, (ord(int))).
% 21.80/3.34 cnf(i_0_1703, plain, (finite_finite_1(bool))).
% 21.80/3.34 cnf(i_0_1704, plain, (order(bool))).
% 21.80/3.34 cnf(i_0_1694, plain, (order(nat))).
% 21.80/3.34 cnf(i_0_1653, plain, (order(int))).
% 21.80/3.34 cnf(i_0_1702, plain, (preorder(bool))).
% 21.80/3.34 cnf(i_0_1688, plain, (preorder(nat))).
% 21.80/3.34 cnf(i_0_1646, plain, (preorder(int))).
% 21.80/3.34 cnf(i_0_1689, plain, (linorder(nat))).
% 21.80/3.34 cnf(i_0_1647, plain, (linorder(int))).
% 21.80/3.34 cnf(i_0_1626, plain, (ordered_ab_group_add(int))).
% 21.80/3.34 cnf(i_0_1643, plain, (ab_group_add(int))).
% 21.80/3.34 cnf(i_0_1671, plain, (cancel146912293up_add(nat))).
% 21.80/3.34 cnf(i_0_1620, plain, (cancel146912293up_add(int))).
% 21.80/3.34 cnf(i_0_1666, plain, (ordere236663937imp_le(nat))).
% 21.80/3.34 cnf(i_0_1612, plain, (ordere236663937imp_le(int))).
% 21.80/3.34 cnf(i_0_1669, plain, (ordere779506340up_add(nat))).
% 21.80/3.34 cnf(i_0_1616, plain, (ordere779506340up_add(int))).
% 21.80/3.34 cnf(i_0_1651, plain, (group_add(int))).
% 21.80/3.34 cnf(i_0_1665, plain, (ordere223160158up_add(nat))).
% 21.80/3.34 cnf(i_0_1611, plain, (ordere223160158up_add(int))).
% 21.80/3.34 cnf(i_0_1676, plain, (linordered_semidom(nat))).
% 21.80/3.34 cnf(i_0_1629, plain, (linordered_semidom(int))).
% 21.80/3.34 cnf(i_0_1638, plain, (linordered_idom(int))).
% 21.80/3.34 cnf(i_0_1687, plain, (zero_neq_one(nat))).
% 21.80/3.34 cnf(i_0_1644, plain, (zero_neq_one(int))).
% 21.80/3.34 cnf(i_0_1682, plain, (comm_monoid_add(nat))).
% 21.80/3.34 cnf(i_0_1636, plain, (comm_monoid_add(int))).
% 21.80/3.34 cnf(i_0_1619, plain, (linord219039673up_add(int))).
% 21.80/3.34 cnf(i_0_1670, plain, (ordere216010020id_add(nat))).
% 21.80/3.34 cnf(i_0_1618, plain, (ordere216010020id_add(int))).
% 21.80/3.34 cnf(i_0_1683, plain, (comm_semiring_1(nat))).
% 21.80/3.34 cnf(i_0_1639, plain, (comm_semiring_1(int))).
% 21.80/3.34 cnf(i_0_1664, plain, (semiri456707255roduct(nat))).
% 21.80/3.34 cnf(i_0_1610, plain, (semiri456707255roduct(int))).
% 21.80/3.34 cnf(i_0_1614, plain, (linord626643107strict(int))).
% 21.80/3.34 cnf(i_0_1623, plain, (ring_n68954251visors(int))).
% 21.80/3.34 cnf(i_0_1684, plain, (comm_semiring(nat))).
% 21.80/3.34 cnf(i_0_1640, plain, (comm_semiring(int))).
% 21.80/3.34 cnf(i_0_1678, plain, (comm_monoid_mult(nat))).
% 21.80/3.34 cnf(i_0_1631, plain, (comm_monoid_mult(int))).
% 21.80/3.34 cnf(i_0_1655, plain, (number_ring(int))).
% 21.80/3.34 cnf(i_0_1654, plain, (ring_char_0(int))).
% 21.80/3.34 cnf(i_0_1661, plain, (ring(int))).
% 21.80/3.34 cnf(i_0_1672, plain, (ordere453448008miring(nat))).
% 21.80/3.34 cnf(i_0_1621, plain, (ordere453448008miring(int))).
% 21.80/3.34 cnf(i_0_1645, plain, (ordered_ring(int))).
% 21.80/3.34 cnf(i_0_1680, plain, (ordered_semiring(nat))).
% 21.80/3.34 cnf(i_0_1633, plain, (ordered_semiring(int))).
% 21.80/3.34 cnf(i_0_1673, plain, (ordere1490568538miring(nat))).
% 21.80/3.34 cnf(i_0_1624, plain, (ordere1490568538miring(int))).
% 21.80/3.34 cnf(i_0_1622, plain, (linord581940658strict(int))).
% 21.80/3.34 cnf(i_0_1637, plain, (linordered_ring(int))).
% 21.80/3.34 cnf(i_0_1668, plain, (linord20386208strict(nat))).
% 21.80/3.34 cnf(i_0_1615, plain, (linord20386208strict(int))).
% 21.80/3.34 cnf(i_0_1667, plain, (linord893533164strict(nat))).
% 21.80/3.34 cnf(i_0_1613, plain, (linord893533164strict(int))).
% 21.80/3.34 cnf(i_0_1675, plain, (linordered_semiring(nat))).
% 21.80/3.34 cnf(i_0_1628, plain, (linordered_semiring(int))).
% 21.80/3.34 cnf(i_0_1625, plain, (linord1278240602ring_1(int))).
% 21.80/3.34 cnf(i_0_1686, plain, (number_semiring(nat))).
% 21.80/3.34 cnf(i_0_1642, plain, (number_semiring(int))).
% 21.80/3.34 cnf(i_0_1685, plain, (semiring_char_0(nat))).
% 21.80/3.34 cnf(i_0_1641, plain, (semiring_char_0(int))).
% 21.80/3.34 cnf(i_0_1634, plain, (ordered_ring_abs(int))).
% 21.80/3.34 cnf(i_0_1726, plain, (~hBOOL(fFalse))).
% 21.80/3.34 cnf(i_0_763, plain, (bot_bot(nat)=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_1261, plain, (one_one(int)!=zero_zero(int))).
% 21.80/3.34 cnf(i_0_747, plain, (one_one(X1)!=zero_zero(X1)|~zero_neq_one(X1))).
% 21.80/3.34 cnf(i_0_748, plain, (one_one(X1)!=zero_zero(X1)|~zero_neq_one(X1))).
% 21.80/3.34 cnf(i_0_1609, plain, (minus(fun(X2,X1))|~minus(X1))).
% 21.80/3.34 cnf(i_0_1608, plain, (bot(fun(X2,X1))|~bot(X1))).
% 21.80/3.34 cnf(i_0_1607, plain, (ord(fun(X2,X1))|~ord(X1))).
% 21.80/3.34 cnf(i_0_1606, plain, (order(fun(X2,X1))|~order(X1))).
% 21.80/3.34 cnf(i_0_1604, plain, (preorder(fun(X2,X1))|~preorder(X1))).
% 21.80/3.34 cnf(i_0_1605, plain, (finite_finite_1(fun(X2,X1))|~finite_finite_1(X2)|~finite_finite_1(X1))).
% 21.80/3.34 cnf(i_0_1708, plain, (finite_finite_1(sum_sum(X2,X1))|~finite_finite_1(X2)|~finite_finite_1(X1))).
% 21.80/3.34 cnf(i_0_70, hypothesis, (hAPP(pname,pname,combi(pname),pn)=pn)).
% 21.80/3.34 cnf(i_0_51, plain, (hAPP(bool,bool,combi(bool),fFalse)=fFalse)).
% 21.80/3.34 cnf(i_0_53, plain, (hAPP(bool,bool,combi(bool),fTrue)=fTrue)).
% 21.80/3.34 cnf(i_0_69, hypothesis, (hAPP(nat,nat,combi(nat),na)=na)).
% 21.80/3.34 cnf(i_0_31, plain, (hAPP(int,int,combi(int),pls)=pls)).
% 21.80/3.34 cnf(i_0_1260, plain, (hAPP(int,int,number_number_of(int),X1)=X1)).
% 21.80/3.34 cnf(i_0_841, plain, (hAPP(nat,nat,suc,zero_zero(nat))=one_one(nat))).
% 21.80/3.34 cnf(i_0_1575, plain, (hAPP(int,nat,number_number_of(nat),pls)=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_1567, plain, (hAPP(int,int,number_number_of(int),pls)=zero_zero(int))).
% 21.80/3.34 cnf(i_0_1574, plain, (hAPP(int,nat,number_number_of(nat),pls)=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_1389, plain, (hAPP(nat,int,semiring_1_of_nat(int),one_one(nat))=one_one(int))).
% 21.80/3.34 cnf(i_0_1390, plain, (hAPP(nat,int,semiring_1_of_nat(int),zero_zero(nat))=zero_zero(int))).
% 21.80/3.34 cnf(i_0_1354, plain, (hAPP(nat,int,semiring_1_of_nat(int),one_one(nat))=one_one(int))).
% 21.80/3.34 cnf(i_0_1355, plain, (hAPP(nat,int,semiring_1_of_nat(int),zero_zero(nat))=zero_zero(int))).
% 21.80/3.34 cnf(i_0_907, plain, (X1=zero_zero(nat)|hAPP(nat,nat,suc,esk95_1(X1))=X1)).
% 21.80/3.34 cnf(i_0_910, plain, (X1=zero_zero(nat)|hAPP(nat,nat,suc,esk97_1(X1))=X1)).
% 21.80/3.34 cnf(i_0_1356, plain, (hAPP(nat,int,semiring_1_of_nat(int),X1)=zero_zero(int)|X1!=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_1571, plain, (hAPP(int,X1,number_number_of(X1),pls)=zero_zero(X1)|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_1570, plain, (hAPP(int,X1,number_number_of(X1),pls)=zero_zero(X1)|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_1569, plain, (hAPP(int,X1,number_number_of(X1),pls)=zero_zero(X1)|~number_semiring(X1))).
% 21.80/3.34 cnf(i_0_28, plain, (hAPP(X1,X1,combi(X1),undefined(X1))=undefined(X1))).
% 21.80/3.34 cnf(i_0_1353, plain, (hAPP(nat,X1,semiring_1_of_nat(X1),one_one(nat))=one_one(X1)|~semiring_1(X1))).
% 21.80/3.34 cnf(i_0_1352, plain, (hAPP(nat,X1,semiring_1_of_nat(X1),zero_zero(nat))=zero_zero(X1)|~semiring_1(X1))).
% 21.80/3.34 cnf(i_0_17, plain, (hAPP(X1,X1,combi(X1),one_one(X1))=one_one(X1)|~one(X1))).
% 21.80/3.34 cnf(i_0_26, plain, (hAPP(X1,X1,combi(X1),zero_zero(X1))=zero_zero(X1)|~zero(X1))).
% 21.80/3.34 cnf(i_0_42, plain, (hAPP(X1,X1,combi(X1),bot_bot(X1))=bot_bot(X1)|~bot(X1))).
% 21.80/3.34 cnf(i_0_1492, plain, (hAPP(X1,X1,abs_abs(X1),one_one(X1))=one_one(X1)|~linordered_idom(X1))).
% 21.80/3.34 cnf(i_0_1496, plain, (hAPP(X1,X1,abs_abs(X1),zero_zero(X1))=zero_zero(X1)|~ordere142940540dd_abs(X1))).
% 21.80/3.34 cnf(i_0_255, plain, (hAPP(X2,X1,bot_bot(fun(X2,X1)),X3)=bot_bot(X1)|~bot(X1))).
% 21.80/3.34 cnf(i_0_257, plain, (hAPP(X2,X1,bot_bot(fun(X2,X1)),X3)=bot_bot(X1)|~bot(X1))).
% 21.80/3.34 cnf(i_0_832, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),bot_bot(fun(X1,bool)))=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_66, hypothesis, (hAPP(fun(pname,bool),fun(pname,bool),combi(fun(pname,bool)),u)=u)).
% 21.80/3.34 cnf(i_0_68, hypothesis, (hAPP(fun(pname,x_a),fun(pname,x_a),combi(fun(pname,x_a)),mgt_call)=mgt_call)).
% 21.80/3.34 cnf(i_0_71, plain, (hAPP(fun(com,bool),fun(com,bool),combi(fun(com,bool)),wt)=wt)).
% 21.80/3.34 cnf(i_0_67, plain, (hAPP(fun(com,x_a),fun(com,x_a),combi(fun(com,x_a)),mgt)=mgt)).
% 21.80/3.34 cnf(i_0_52, plain, (hAPP(fun(bool,bool),fun(bool,bool),combi(fun(bool,bool)),fNot)=fNot)).
% 21.80/3.34 cnf(i_0_35, hypothesis, (hAPP(fun(nat,nat),fun(nat,nat),combi(fun(nat,nat)),suc)=suc)).
% 21.80/3.34 cnf(i_0_39, plain, (hAPP(fun(int,bool),fun(int,bool),combi(fun(int,bool)),nat_neg)=nat_neg)).
% 21.80/3.34 cnf(i_0_30, plain, (hAPP(fun(int,int),fun(int,int),combi(fun(int,int)),bit1)=bit1)).
% 21.80/3.34 cnf(i_0_34, plain, (hAPP(fun(int,int),fun(int,int),combi(fun(int,int)),succ)=succ)).
% 21.80/3.34 cnf(i_0_64, hypothesis, (hAPP(fun(x_a,bool),fun(x_a,bool),combi(fun(x_a,bool)),g)=g)).
% 21.80/3.34 cnf(i_0_33, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),ring_1_Ints(X1))=ring_1_Ints(X1)|~ring_1(X1))).
% 21.80/3.34 cnf(i_0_37, plain, (hAPP(fun(nat,X1),fun(nat,X1),combi(fun(nat,X1)),semiring_1_of_nat(X1))=semiring_1_of_nat(X1)|~semiring_1(X1))).
% 21.80/3.34 cnf(i_0_32, plain, (hAPP(fun(int,X1),fun(int,X1),combi(fun(int,X1)),number_number_of(X1))=number_number_of(X1)|~number(X1))).
% 21.80/3.34 cnf(i_0_3, plain, (hAPP(fun(X1,X1),fun(X1,X1),combi(fun(X1,X1)),combi(X1))=combi(X1))).
% 21.80/3.34 cnf(i_0_6, plain, (hAPP(fun(pname,option(com)),fun(pname,option(com)),combi(fun(pname,option(com))),body)=body)).
% 21.80/3.34 cnf(i_0_15, plain, (hAPP(fun(X1,X1),fun(X1,X1),combi(fun(X1,X1)),abs_abs(X1))=abs_abs(X1)|~ordere142940540dd_abs(X1))).
% 21.80/3.34 cnf(i_0_41, plain, (hAPP(fun(option(com),com),fun(option(com),com),combi(fun(option(com),com)),the_1(com))=the_1(com))).
% 21.80/3.34 cnf(i_0_1580, plain, (hAPP(int,int,bit1,X1)!=pls)).
% 21.80/3.34 cnf(i_0_1579, plain, (hAPP(int,int,bit1,X1)!=pls)).
% 21.80/3.34 cnf(i_0_94, plain, (hAPP(nat,nat,suc,X1)!=X1)).
% 21.80/3.34 cnf(i_0_93, plain, (hAPP(nat,nat,suc,X1)!=X1)).
% 21.80/3.34 cnf(i_0_777, plain, (hAPP(nat,nat,suc,X1)!=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_780, plain, (hAPP(nat,nat,suc,X1)!=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_781, plain, (hAPP(nat,nat,suc,X1)!=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_776, plain, (hAPP(nat,nat,suc,X1)!=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_778, plain, (hAPP(nat,nat,suc,X1)!=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_779, plain, (hAPP(nat,nat,suc,X1)!=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_1357, plain, (X1=zero_zero(nat)|hAPP(nat,int,semiring_1_of_nat(int),X1)!=zero_zero(int))).
% 21.80/3.34 cnf(i_0_1548, plain, (hAPP(int,int,succ,pls)=hAPP(int,int,bit1,pls))).
% 21.80/3.34 cnf(i_0_1714, plain, (hBOOL(X1)|hBOOL(hAPP(bool,bool,fNot,X1)))).
% 21.80/3.34 cnf(i_0_1712, plain, (hAPP(bool,bool,combi(bool),X1)=fFalse|hAPP(bool,bool,combi(bool),X1)=fTrue)).
% 21.80/3.34 cnf(i_0_1727, plain, (hAPP(bool,bool,combi(bool),X1)=fFalse|hAPP(bool,bool,combi(bool),X1)=fTrue)).
% 21.80/3.34 cnf(i_0_54, plain, (hAPP(fun(bool,fun(bool,bool)),fun(bool,fun(bool,bool)),combi(fun(bool,fun(bool,bool))),fconj)=fconj)).
% 21.80/3.34 cnf(i_0_55, plain, (hAPP(fun(bool,fun(bool,bool)),fun(bool,fun(bool,bool)),combi(fun(bool,fun(bool,bool))),fdisj)=fdisj)).
% 21.80/3.34 cnf(i_0_57, plain, (hAPP(fun(bool,fun(bool,bool)),fun(bool,fun(bool,bool)),combi(fun(bool,fun(bool,bool))),fimplies)=fimplies)).
% 21.80/3.34 cnf(i_0_40, plain, (hAPP(fun(int,fun(int,int)),fun(int,fun(int,int)),combi(fun(int,fun(int,int))),nat_tsub)=nat_tsub)).
% 21.80/3.34 cnf(i_0_61, hypothesis, (hBOOL(hAPP(bool,bool,combi(bool),X1))|~hBOOL(X1))).
% 21.80/3.34 cnf(i_0_1733, hypothesis, (hBOOL(hAPP(fun(pname,bool),bool,finite_finite(pname),u)))).
% 21.80/3.34 cnf(i_0_9, plain, (hAPP(fun(fun(X1,bool),bool),fun(fun(X1,bool),bool),combi(fun(fun(X1,bool),bool)),finite_finite(X1))=finite_finite(X1))).
% 21.80/3.34 cnf(i_0_7, plain, (hAPP(fun(fun(X1,bool),nat),fun(fun(X1,bool),nat),combi(fun(fun(X1,bool),nat)),finite_card(X1))=finite_card(X1))).
% 21.80/3.34 cnf(i_0_56, plain, (hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combi(fun(X1,fun(X1,bool))),fequal(X1))=fequal(X1))).
% 21.80/3.34 cnf(i_0_27, plain, (hAPP(fun(fun(X1,bool),X1),fun(fun(X1,bool),X1),combi(fun(fun(X1,bool),X1)),the(X1))=the(X1))).
% 21.80/3.34 cnf(i_0_49, plain, (hAPP(fun(fun(X1,bool),X1),fun(fun(X1,bool),X1),combi(fun(fun(X1,bool),X1)),the_elem(X1))=the_elem(X1))).
% 21.80/3.34 cnf(i_0_43, plain, (hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combi(fun(X1,fun(X1,bool))),ord_less(X1))=ord_less(X1)|~ord(X1))).
% 21.80/3.34 cnf(i_0_44, plain, (hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combi(fun(X1,fun(X1,bool))),ord_less_eq(X1))=ord_less_eq(X1)|~ord(X1))).
% 21.80/3.34 cnf(i_0_88, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~finite_finite_1(X1))).
% 21.80/3.34 cnf(i_0_89, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~finite_finite_1(X1))).
% 21.80/3.34 cnf(i_0_16, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),minus_minus(X1))=minus_minus(X1)|~minus(X1))).
% 21.80/3.34 cnf(i_0_18, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),plus_plus(X1))=plus_plus(X1)|~monoid_add(X1))).
% 21.80/3.34 cnf(i_0_19, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),plus_plus(X1))=plus_plus(X1)|~cancel_semigroup_add(X1))).
% 21.80/3.34 cnf(i_0_20, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),plus_plus(X1))=plus_plus(X1)|~ab_semigroup_add(X1))).
% 21.80/3.34 cnf(i_0_21, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),times_times(X1))=times_times(X1)|~ab_semigroup_mult(X1))).
% 21.80/3.34 cnf(i_0_22, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),times_times(X1))=times_times(X1)|~monoid_mult(X1))).
% 21.80/3.34 cnf(i_0_23, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),times_times(X1))=times_times(X1)|~semiring(X1))).
% 21.80/3.34 cnf(i_0_24, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),times_times(X1))=times_times(X1)|~no_zero_divisors(X1))).
% 21.80/3.34 cnf(i_0_25, plain, (hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combi(fun(X1,fun(X1,X1))),times_times(X1))=times_times(X1)|~mult_zero(X1))).
% 21.80/3.34 cnf(i_0_4, plain, (hAPP(fun(X1,fun(X2,X1)),fun(X1,fun(X2,X1)),combi(fun(X1,fun(X2,X1))),combk(X1,X2))=combk(X1,X2))).
% 21.80/3.34 cnf(i_0_169, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2))).
% 21.80/3.34 cnf(i_0_240, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),bot_bot(fun(X1,bool)))))).
% 21.80/3.34 cnf(i_0_1495, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,abs_abs(X1),X2)!=zero_zero(X1)|~ordere142940540dd_abs(X1))).
% 21.80/3.34 cnf(i_0_1494, plain, (hAPP(X1,X1,abs_abs(X1),X2)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~ordere142940540dd_abs(X1))).
% 21.80/3.34 cnf(i_0_953, plain, (hBOOL(hAPP(fun(X1,fun(X1,X1)),bool,finite_comp_fun_idem(X1,X1),times_times(X1)))|~ab_sem1668676832m_mult(X1))).
% 21.80/3.34 cnf(i_0_1558, plain, (hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,pls))=one_one(nat))).
% 21.80/3.34 cnf(i_0_1560, plain, (hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls))=one_one(int))).
% 21.80/3.34 cnf(i_0_1559, plain, (hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,pls))=one_one(nat))).
% 21.80/3.34 cnf(i_0_46, plain, (hAPP(fun(fun(X1,bool),fun(X1,bool)),fun(fun(X1,bool),fun(X1,bool)),combi(fun(fun(X1,bool),fun(X1,bool))),collect(X1))=collect(X1))).
% 21.80/3.34 cnf(i_0_1401, plain, (hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,zero_zero(nat)))=one_one(int))).
% 21.80/3.34 cnf(i_0_1557, plain, (hAPP(int,X1,number_number_of(X1),hAPP(int,int,bit1,pls))=one_one(X1)|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_1561, plain, (hAPP(int,X1,number_number_of(X1),hAPP(int,int,bit1,pls))=one_one(X1)|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_1562, plain, (hAPP(int,X1,number_number_of(X1),hAPP(int,int,bit1,pls))=one_one(X1)|~number_semiring(X1))).
% 21.80/3.34 cnf(i_0_90, plain, (X1=X2|hAPP(nat,nat,suc,X1)!=hAPP(nat,nat,suc,X2))).
% 21.80/3.34 cnf(i_0_92, plain, (X1=X2|hAPP(nat,nat,suc,X1)!=hAPP(nat,nat,suc,X2))).
% 21.80/3.34 cnf(i_0_1578, plain, (X1=X2|hAPP(int,int,bit1,X1)!=hAPP(int,int,bit1,X2))).
% 21.80/3.34 cnf(i_0_1713, plain, (~hBOOL(X1)|~hBOOL(hAPP(bool,bool,fNot,X1)))).
% 21.80/3.34 cnf(i_0_1491, plain, (~hBOOL(hAPP(int,bool,nat_neg,one_one(int))))).
% 21.80/3.34 cnf(i_0_1493, plain, (~hBOOL(hAPP(int,bool,nat_neg,zero_zero(int))))).
% 21.80/3.34 cnf(i_0_1584, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),pls),X1)=pls)).
% 21.80/3.34 cnf(i_0_1582, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),pls),X1)=X1)).
% 21.80/3.34 cnf(i_0_1581, plain, (hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X1),pls)=X1)).
% 21.80/3.34 cnf(i_0_1583, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),pls)=X1)).
% 21.80/3.34 cnf(i_0_1425, plain, (X1=X2|hAPP(nat,int,semiring_1_of_nat(int),X1)!=hAPP(nat,int,semiring_1_of_nat(int),X2))).
% 21.80/3.34 cnf(i_0_1438, plain, (X1=X2|hAPP(nat,int,semiring_1_of_nat(int),X1)!=hAPP(nat,int,semiring_1_of_nat(int),X2))).
% 21.80/3.34 cnf(i_0_744, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X1)=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_745, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),zero_zero(nat))=X1)).
% 21.80/3.34 cnf(i_0_768, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),zero_zero(nat))=X1)).
% 21.80/3.34 cnf(i_0_978, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),one_one(nat))=X1)).
% 21.80/3.34 cnf(i_0_1202, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),zero_zero(int))=X1)).
% 21.80/3.34 cnf(i_0_1186, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),one_one(int))=X1)).
% 21.80/3.34 cnf(i_0_943, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),zero_zero(nat))=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_62, hypothesis, (hBOOL(X1)|~hBOOL(hAPP(bool,bool,combi(bool),X1)))).
% 21.80/3.34 cnf(i_0_881, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)=X2|X1!=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_769, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),zero_zero(nat)),X1)=X1)).
% 21.80/3.34 cnf(i_0_982, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),one_one(nat)),X1)=X1)).
% 21.80/3.34 cnf(i_0_1203, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),zero_zero(int)),X1)=X1)).
% 21.80/3.34 cnf(i_0_1185, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),one_one(int)),X1)=X1)).
% 21.80/3.34 cnf(i_0_944, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)=zero_zero(nat)|X1!=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_945, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=zero_zero(nat)|X1!=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_1172, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=zero_zero(nat)|X1!=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_746, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),zero_zero(nat)),X1)=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_942, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),zero_zero(nat)),X1)=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_979, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=one_one(nat)|X2!=one_one(nat)|X1!=one_one(nat))).
% 21.80/3.34 cnf(i_0_765, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)=zero_zero(nat)|X2!=zero_zero(nat)|X1!=zero_zero(nat))).
% 21.80/3.34 cnf(i_0_975, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=one_one(nat)|X2!=one_one(nat)|X1!=one_one(nat))).
% 21.80/3.34 cnf(i_0_1360, plain, (X2=X3|hAPP(nat,X1,semiring_1_of_nat(X1),X2)!=hAPP(nat,X1,semiring_1_of_nat(X1),X3)|~semiring_char_0(X1))).
% 21.80/3.34 cnf(i_0_991, plain, (X2=X3|hAPP(int,X1,number_number_of(X1),X2)!=hAPP(int,X1,number_number_of(X1),X3)|~number_ring(X1)|~ring_char_0(X1))).
% 21.80/3.34 cnf(i_0_759, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X2)=zero_zero(X1)|~group_add(X1))).
% 21.80/3.34 cnf(i_0_936, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),zero_zero(X1))=zero_zero(X1)|~mult_zero(X1))).
% 21.80/3.34 cnf(i_0_1027, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),zero_zero(X1))=zero_zero(X1)|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_935, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),zero_zero(X1)),X2)=zero_zero(X1)|~mult_zero(X1))).
% 21.80/3.34 cnf(i_0_1026, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),zero_zero(X1)),X2)=zero_zero(X1)|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_833, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)=zero_zero(nat)|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_852, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)=zero_zero(nat)|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_926, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)=zero_zero(nat)|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_853, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)=zero_zero(nat)|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool)))).
% 21.80/3.34 cnf(i_0_248, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)=bot_bot(fun(X1,bool))|hBOOL(hAPP(X1,bool,X2,esk18_2(X1,X2))))).
% 21.80/3.34 cnf(i_0_243, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)=bot_bot(fun(X1,bool))|hBOOL(hAPP(X1,bool,X2,esk17_2(X1,X2))))).
% 21.80/3.34 cnf(i_0_256, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(bool,fun(X1,bool),combk(bool,X1),fFalse))=bot_bot(fun(X1,bool)))).
% 21.80/3.34 cnf(i_0_63, plain, (hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(X1,fun(fun(X1,bool),bool)),combi(fun(X1,fun(fun(X1,bool),bool))),member(X1))=member(X1))).
% 21.80/3.34 cnf(i_0_45, plain, (hAPP(fun(X1,fun(fun(X1,bool),X1)),fun(X1,fun(fun(X1,bool),X1)),combi(fun(X1,fun(fun(X1,bool),X1))),partial_flat_lub(X1))=partial_flat_lub(X1))).
% 21.80/3.34 cnf(i_0_1554, plain, (hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,pls))=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.34 cnf(i_0_29, plain, (hAPP(fun(bool,fun(X1,fun(X1,X1))),fun(bool,fun(X1,fun(X1,X1))),combi(fun(bool,fun(X1,fun(X1,X1)))),if(X1))=if(X1))).
% 21.80/3.34 cnf(i_0_1500, plain, (hAPP(int,int,abs_abs(int),hAPP(nat,int,semiring_1_of_nat(int),X1))=hAPP(nat,int,semiring_1_of_nat(int),X1))).
% 21.80/3.34 cnf(i_0_60, plain, (hAPP(X1,X1,combi(X1),hAPP(X2,X1,X3,X4))=hAPP(X2,X1,X3,X4))).
% 21.80/3.34 cnf(i_0_59, plain, (hAPP(X1,X2,X3,hAPP(X1,X1,combi(X1),X4))=hAPP(X1,X2,X3,X4))).
% 21.80/3.34 cnf(i_0_1346, plain, (hAPP(int,X1,number_number_of(X1),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,X1,semiring_1_of_nat(X1),X2)|~number_semiring(X1))).
% 21.80/3.34 cnf(i_0_8, plain, (hAPP(fun(fun(X1,fun(X2,X2)),bool),fun(fun(X1,fun(X2,X2)),bool),combi(fun(fun(X1,fun(X2,X2)),bool)),finite_comp_fun_idem(X1,X2))=finite_comp_fun_idem(X1,X2))).
% 21.80/3.34 cnf(i_0_1709, plain, (hAPP(X1,X1,combi(X1),hAPP(X1,X1,combi(X1),X2))=hAPP(X1,X1,combi(X1),X2))).
% 21.80/3.34 cnf(i_0_1498, plain, (hAPP(X1,X1,abs_abs(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2))=hAPP(nat,X1,semiring_1_of_nat(X1),X2)|~linordered_idom(X1))).
% 21.80/3.34 cnf(i_0_65, plain, (hAPP(fun(fun(x_a,bool),fun(fun(x_a,bool),bool)),fun(fun(x_a,bool),fun(fun(x_a,bool),bool)),combi(fun(fun(x_a,bool),fun(fun(x_a,bool),bool))),p)=p)).
% 21.80/3.34 cnf(i_0_1490, plain, (hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,abs_abs(X1),X2))=hAPP(X1,X1,abs_abs(X1),X2)|~ordere142940540dd_abs(X1))).
% 21.80/3.34 cnf(i_0_644, plain, (hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1))=hAPP(nat,fun(nat,bool),ord_less(nat),X1))).
% 21.80/3.34 cnf(i_0_455, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),one_one(nat))=hAPP(nat,nat,suc,X1))).
% 21.80/3.34 cnf(i_0_1540, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),one_one(int))=hAPP(int,int,succ,X1))).
% 21.80/3.34 cnf(i_0_454, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),X1)=hAPP(nat,nat,suc,X1))).
% 21.80/3.34 cnf(i_0_971, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)=hAPP(X1,X1,combi(X1),X2)|~ab_sem1668676832m_mult(X1))).
% 21.80/3.34 cnf(i_0_972, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)=hAPP(X1,X1,combi(X1),X2)|~ab_sem1668676832m_mult(X1))).
% 21.80/3.34 cnf(i_0_760, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),zero_zero(X1))=hAPP(X1,X1,combi(X1),X2)|~group_add(X1))).
% 21.80/3.34 cnf(i_0_750, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),zero_zero(X1))=hAPP(X1,X1,combi(X1),X2)|~monoid_add(X1))).
% 21.80/3.34 cnf(i_0_749, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),zero_zero(X1))=hAPP(X1,X1,combi(X1),X2)|~comm_monoid_add(X1))).
% 21.80/3.34 cnf(i_0_922, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),zero_zero(X1))=hAPP(X1,X1,combi(X1),X2)|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_957, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),one_one(X1))=hAPP(X1,X1,combi(X1),X2)|~monoid_mult(X1))).
% 21.80/3.34 cnf(i_0_1008, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),one_one(X1))=hAPP(X1,X1,combi(X1),X2)|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_956, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),one_one(X1))=hAPP(X1,X1,combi(X1),X2)|~comm_monoid_mult(X1))).
% 21.80/3.34 cnf(i_0_754, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),zero_zero(X1)),X2)=hAPP(X1,X1,combi(X1),X2)|~monoid_add(X1))).
% 21.80/3.34 cnf(i_0_753, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),zero_zero(X1)),X2)=hAPP(X1,X1,combi(X1),X2)|~comm_monoid_add(X1))).
% 21.80/3.34 cnf(i_0_913, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),zero_zero(X1)),X2)=hAPP(X1,X1,combi(X1),X2)|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_959, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),one_one(X1)),X2)=hAPP(X1,X1,combi(X1),X2)|~monoid_mult(X1))).
% 21.80/3.34 cnf(i_0_1007, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),one_one(X1)),X2)=hAPP(X1,X1,combi(X1),X2)|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_958, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_tifun(X1,X1),plus_plus(X1),X2),X2)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~ring_char_0(X1)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1))))).
% 21.80/3.34 cnf(i_0_535, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_540, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_538, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_549, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_1361, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),hAPP(nat,X1,semiring_1_of_nat(X1),X3))=hAPP(nat,X1,semiring_1_of_nat(X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3))|~semiring_1(X1))).
% 21.80/3.34 cnf(i_0_1378, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),hAPP(nat,X1,semiring_1_of_nat(X1),X3))=hAPP(nat,X1,semiring_1_of_nat(X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3))|~semiring_1(X1))).
% 21.80/3.34 cnf(i_0_996, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),X3))|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_1000, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3))|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_986, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_1001, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3))|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_989, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_170, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))).
% 21.80/3.34 cnf(i_0_1568, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),X1)),X1)=hAPP(int,int,bit1,X1))).
% 21.80/3.34 cnf(i_0_1486, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3))=hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3))|~linordered_idom(X1))).
% 21.80/3.34 cnf(i_0_1319, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),esk112_2(X1,X3))))).
% 21.80/3.34 cnf(i_0_181, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_816, plain, (X1=zero_zero(nat)|hAPP(nat,nat,suc,esk83_2(X1,X2))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.34 cnf(i_0_469, plain, (hAPP(X2,X2,hAPP(X1,fun(X2,X2),X3,X4),hAPP(X2,X2,hAPP(X1,fun(X2,X2),X3,X4),X5))=hAPP(X2,X2,hAPP(X1,fun(X2,X2),X3,X4),X5)|~hBOOL(hAPP(fun(X1,fun(X2,X2)),bool,finite_comp_fun_idem(X1,X2),X3)))).
% 21.80/3.34 cnf(i_0_1320, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk113_2(X1,X2)),X3)))).
% 21.80/3.34 cnf(i_0_417, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X3)=hAPP(X1,X1,combi(X1),X2)|~group_add(X1))).
% 21.80/3.34 cnf(i_0_416, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),X3)=hAPP(X1,X1,combi(X1),X2)|~group_add(X1))).
% 21.80/3.34 cnf(i_0_879, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_878, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_625, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),esk47_2(X1,X2)))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_650, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),esk51_2(X1,X2)))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_691, plain, (X2=hAPP(nat,nat,suc,X1)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),esk59_2(X1,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_223, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk11_3(X1,X2,X3)),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2)))).
% 21.80/3.34 cnf(i_0_10, plain, (hAPP(fun(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1)))),fun(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1)))),combi(fun(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1))))),finite_fold_image(X1,X2))=finite_fold_image(X1,X2))).
% 21.80/3.34 cnf(i_0_1719, plain, (hAPP(X1,X2,hAPP(fun(X1,X3),fun(X1,X2),hAPP(fun(X1,fun(X3,X2)),fun(fun(X1,X3),fun(X1,X2)),combs(X1,X3,X2),X4),X5),X6)=hAPP(X3,X2,hAPP(X1,fun(X3,X2),X4,X6),hAPP(X1,X3,X5,X6)))).
% 21.80/3.34 cnf(i_0_666, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_624, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1))|X1!=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))).
% 21.80/3.34 cnf(i_0_1123, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)!=zero_zero(X1)|~ring_char_0(X1)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1))))).
% 21.80/3.34 cnf(i_0_1280, plain, (hBOOL(hAPP(int,bool,X1,X3))|hBOOL(hAPP(int,bool,X1,esk106_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3)))).
% 21.80/3.34 cnf(i_0_1272, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,X1,esk103_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3)))).
% 21.80/3.34 cnf(i_0_450, plain, (X1=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)!=X3|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))).
% 21.80/3.34 cnf(i_0_449, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)=X2|X1!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X1)))).
% 21.80/3.34 cnf(i_0_1435, plain, (hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),hAPP(bool,fun(nat,fun(nat,nat)),if(nat),X1),X3),X2))=hAPP(nat,int,semiring_1_of_nat(int),X2)|hBOOL(X1))).
% 21.80/3.34 cnf(i_0_1436, plain, (hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),hAPP(bool,fun(nat,fun(nat,nat)),if(nat),X1),X2),X3))=hAPP(nat,int,semiring_1_of_nat(int),X2)|~hBOOL(X1))).
% 21.80/3.34 cnf(i_0_1472, plain, (hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,abs_abs(X1),X2))))).
% 21.80/3.34 cnf(i_0_858, plain, (hBOOL(hAPP(X1,bool,X4,X3))|~hBOOL(hAPP(X1,bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X4)))).
% 21.80/3.34 cnf(i_0_859, plain, (hBOOL(hAPP(X1,bool,X3,X4))|~hBOOL(hAPP(X1,bool,X2,X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_344, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X4))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4))).
% 21.80/3.34 cnf(i_0_894, plain, (hBOOL(hAPP(nat,bool,X3,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X3,X2))|~hBOOL(hAPP(nat,bool,X3,X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),esk90_2(X2,X3))))).
% 21.80/3.34 cnf(i_0_883, plain, (hBOOL(hAPP(nat,bool,X3,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X3,X2))|~hBOOL(hAPP(nat,bool,X3,X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),esk86_2(X2,X3))))).
% 21.80/3.34 cnf(i_0_1565, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),X2)),one_one(X1))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),hAPP(int,int,bit1,pls)))|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_547, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2)))).
% 21.80/3.34 cnf(i_0_533, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_541, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_546, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_552, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_553, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_554, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_545, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_551, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_401, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)))).
% 21.80/3.34 cnf(i_0_1214, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3))=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X3)))).
% 21.80/3.34 cnf(i_0_500, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),X3,X1),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_421, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1))))).
% 21.80/3.34 cnf(i_0_422, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2))))).
% 21.80/3.34 cnf(i_0_968, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X1))))).
% 21.80/3.34 cnf(i_0_1508, plain, (hAPP(int,nat,number_number_of(nat),X1)=hAPP(int,nat,number_number_of(nat),X2)|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X2)))|hAPP(int,int,number_number_of(int),X2)!=zero_zero(int)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.34 cnf(i_0_889, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=hAPP(nat,nat,suc,X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk87_3(X1,X2,X3)),esk88_3(X1,X2,X3))))).
% 21.80/3.34 cnf(i_0_905, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=hAPP(nat,nat,suc,X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk93_3(X1,X2,X3)),esk94_3(X1,X2,X3))))).
% 21.80/3.34 cnf(i_0_1233, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),one_one(int))))|X1!=X2)).
% 21.80/3.34 cnf(i_0_107, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2)))).
% 21.80/3.34 cnf(i_0_106, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_1395, plain, (hBOOL(hAPP(int,bool,X2,hAPP(nat,int,semiring_1_of_nat(int),esk125_1(X2))))|~hBOOL(hAPP(int,bool,X2,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.34 cnf(i_0_855, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(fun(X1,bool),nat,finite_card(X1),X2))))).
% 21.80/3.34 cnf(i_0_876, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(fun(X1,bool),nat,finite_card(X1),X2))))).
% 21.80/3.34 cnf(i_0_877, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(fun(X1,bool),nat,finite_card(X1),X2))))).
% 21.80/3.34 cnf(i_0_705, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~dense_linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),esk70_3(X1,X2,X3)),X2)))).
% 21.80/3.34 cnf(i_0_126, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_444, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1403, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,esk129_2(X1,X2))))=X2|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1513, plain, (hAPP(int,int,number_number_of(int),X2)=zero_zero(int)|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X2)))|hAPP(int,nat,number_number_of(nat),X1)!=hAPP(int,nat,number_number_of(nat),X2)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.34 cnf(i_0_332, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk23_3(X1,X2,X3)),esk24_3(X1,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3)))).
% 21.80/3.34 cnf(i_0_647, plain, (hBOOL(hAPP(nat,bool,X1,X2))|~hBOOL(hAPP(nat,bool,X1,X3))|~hBOOL(hAPP(nat,bool,X1,esk50_3(X1,X2,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))).
% 21.80/3.34 cnf(i_0_918, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4))|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_1010, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_654, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),one_one(X1))))|~linordered_semidom(X1))).
% 21.80/3.34 cnf(i_0_1059, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)))|~linordered_ring(X1))).
% 21.80/3.34 cnf(i_0_1100, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),one_one(X1))),X2)|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_523, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X4)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_521, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X2))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X3)))).
% 21.80/3.34 cnf(i_0_509, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_157, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X4)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_155, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X2))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X3)))).
% 21.80/3.34 cnf(i_0_152, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2)))).
% 21.80/3.34 cnf(i_0_95, plain, (X1=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1219, plain, (X1=X2|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_849, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),one_one(X1))))|~linordered_semidom(X1))).
% 21.80/3.34 cnf(i_0_1241, plain, (X2=X3|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_886, plain, (X1=zero_zero(nat)|hAPP(fun(X2,bool),nat,finite_card(X2),X3)=hAPP(nat,nat,suc,X1)|hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X4),X5))|hAPP(fun(X2,bool),nat,finite_card(X2),X5)!=X1|hAPP(fun(X2,bool),fun(X2,bool),combi(fun(X2,bool)),X3)!=hAPP(fun(X2,bool),fun(X2,bool),hAPP(X2,fun(fun(X2,bool),fun(X2,bool)),insert(X2),X4),X5))).
% 21.80/3.34 cnf(i_0_1602, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(int,int,bit1,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))).
% 21.80/3.34 cnf(i_0_1587, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),hAPP(int,int,bit1,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))).
% 21.80/3.34 cnf(i_0_364, plain, (hAPP(X2,X1,hAPP(fun(X2,X1),fun(X2,X1),hAPP(fun(X2,X1),fun(fun(X2,X1),fun(X2,X1)),minus_minus(fun(X2,X1)),X3),X4),X5)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X2,X1,X3,X5)),hAPP(X2,X1,X4,X5))|~minus(X1))).
% 21.80/3.34 cnf(i_0_365, plain, (hAPP(X2,X1,hAPP(fun(X2,X1),fun(X2,X1),hAPP(fun(X2,X1),fun(fun(X2,X1),fun(X2,X1)),minus_minus(fun(X2,X1)),X3),X4),X5)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X2,X1,X3,X5)),hAPP(X2,X1,X4,X5))|~minus(X1))).
% 21.80/3.34 cnf(i_0_576, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_583, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_628, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_632, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_110, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_114, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_634, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))).
% 21.80/3.34 cnf(i_0_519, plain, (~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_513, plain, (~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_514, plain, (~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_518, plain, (~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_526, plain, (~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_537, plain, (~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_506, plain, (~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_528, plain, (~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_548, plain, (~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_530, plain, (~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2)))).
% 21.80/3.34 cnf(i_0_1345, plain, (hAPP(nat,X2,semiring_1_of_nat(X2),hAPP(int,nat,number_number_of(nat),X1))=hAPP(int,X2,number_number_of(X2),X1)|~number_ring(X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.34 cnf(i_0_517, plain, (hBOOL(X4)|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_1329, plain, (hBOOL(hAPP(int,bool,X2,X1))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),esk114_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk115_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,X2,X3)))).
% 21.80/3.34 cnf(i_0_1408, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(nat,int,semiring_1_of_nat(int),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_72, plain, (hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,X2),X1))|~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),X1),X2)))).
% 21.80/3.34 cnf(i_0_1566, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),hAPP(int,X1,number_number_of(X1),X2))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,bit1,pls)),X2))|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_117, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X2)),X1)))).
% 21.80/3.34 cnf(i_0_842, plain, (hAPP(nat,nat,hAPP(fun(nat,nat),fun(nat,nat),hAPP(nat,fun(fun(nat,nat),fun(nat,nat)),nat_case(nat),zero_zero(nat)),combi(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),hAPP(nat,nat,suc,X2)))).
% 21.80/3.34 cnf(i_0_1402, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X1))|X1!=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,X3))))).
% 21.80/3.34 cnf(i_0_882, plain, (hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk86_2(X2,X1)),one_one(nat))))|~hBOOL(hAPP(nat,bool,X1,X2)))).
% 21.80/3.34 cnf(i_0_1317, plain, (~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),esk110_2(X1,X3))))).
% 21.80/3.34 cnf(i_0_1411, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),zero_zero(X2)),hAPP(nat,X2,semiring_1_of_nat(X2),X1)))|~linordered_semidom(X2)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_399, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,X4),X4)=hAPP(X1,X1,combi(X1),X4)|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite2073411215e_idem(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_373, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),X2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),hAPP(nat,nat,suc,X2)))).
% 21.80/3.34 cnf(i_0_1318, plain, (~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk111_2(X1,X2)),X3)))).
% 21.80/3.34 cnf(i_0_616, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),esk45_1(X1)))|~hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|~hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X2),X1)))).
% 21.80/3.34 cnf(i_0_229, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),esk14_1(X1)))|~hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|~hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X2),X1)))).
% 21.80/3.34 cnf(i_0_856, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),hAPP(nat,nat,suc,zero_zero(nat))))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_861, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),esk84_3(X3,X1,X2))=X1|hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)))|~hBOOL(hAPP(nat,bool,X3,zero_zero(nat))))).
% 21.80/3.34 cnf(i_0_867, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),esk85_3(X3,X1,X2))=X1|hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)))|~hBOOL(hAPP(nat,bool,X3,zero_zero(nat))))).
% 21.80/3.34 cnf(i_0_1552, plain, (hAPP(nat,int,semiring_1_of_nat(int),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,hAPP(int,int,bit1,pls))))=hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,hAPP(int,int,bit1,pls))))).
% 21.80/3.34 cnf(i_0_1396, plain, (hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),esk128_1(X1))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2)))).
% 21.80/3.34 cnf(i_0_813, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X3)))|X1!=hAPP(nat,nat,suc,X2)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3)))).
% 21.80/3.34 cnf(i_0_661, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_663, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_667, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_175, plain, (hBOOL(hAPP(X1,bool,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X2),X3))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.34 cnf(i_0_176, plain, (hBOOL(hAPP(X1,bool,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.34 cnf(i_0_143, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,X1,X3))|~hBOOL(hAPP(nat,bool,X1,esk4_3(X2,X1,X3))))).
% 21.80/3.34 cnf(i_0_961, plain, (X2=X3|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X1)),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X1)),X3))).
% 21.80/3.34 cnf(i_0_1281, plain, (hBOOL(hAPP(int,bool,X2,X3))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),esk106_3(X2,X1,X3)))|~hBOOL(hAPP(int,bool,X2,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X3)))).
% 21.80/3.34 cnf(i_0_118, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X1)))).
% 21.80/3.34 cnf(i_0_860, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X1,esk84_3(X1,X2,X3))))).
% 21.80/3.34 cnf(i_0_866, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X1,esk85_3(X1,X2,X3))))).
% 21.80/3.34 cnf(i_0_1603, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(int,int,bit1,X1))))).
% 21.80/3.34 cnf(i_0_1588, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),hAPP(int,int,bit1,X1))))).
% 21.80/3.34 cnf(i_0_885, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X3)=hAPP(nat,nat,suc,X5)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=X5|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X2))).
% 21.80/3.34 cnf(i_0_148, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_153, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_158, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_160, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_629, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.34 cnf(i_0_577, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.34 cnf(i_0_581, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.34 cnf(i_0_582, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.34 cnf(i_0_586, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.34 cnf(i_0_75, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_104, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_1348, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),zero_zero(int))))).
% 21.80/3.34 cnf(i_0_1400, plain, (X1=zero_zero(nat)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),zero_zero(int))))).
% 21.80/3.34 cnf(i_0_1461, plain, (X1=zero_zero(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,abs_abs(int),X1)),one_one(int))))).
% 21.80/3.34 cnf(i_0_657, plain, (hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less_eq(fun(X1,X2)),X3),X4))|~ord(X2)|~hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less(fun(X1,X2)),X3),X4)))).
% 21.80/3.34 cnf(i_0_1409, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(nat,int,semiring_1_of_nat(int),X1))))).
% 21.80/3.34 cnf(i_0_648, plain, (hBOOL(hAPP(nat,bool,X1,X2))|hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,suc,esk50_3(X1,X2,X3))))|~hBOOL(hAPP(nat,bool,X1,X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))).
% 21.80/3.34 cnf(i_0_222, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk11_3(X1,X2,X3)),X2)))).
% 21.80/3.34 cnf(i_0_815, plain, (X1=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk83_2(X1,X2)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.34 cnf(i_0_618, plain, (hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),X1)))=X1)).
% 21.80/3.34 cnf(i_0_1388, plain, (hBOOL(hAPP(fun(int,bool),bool,finite_finite(int),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1)))|~hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1)))).
% 21.80/3.34 cnf(i_0_1351, plain, (~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1412, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(nat,X1,semiring_1_of_nat(X1),X2))))).
% 21.80/3.34 cnf(i_0_536, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_649, plain, (hBOOL(hAPP(nat,bool,X1,X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk50_3(X1,X2,X3)),X3))|~hBOOL(hAPP(nat,bool,X1,X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))).
% 21.80/3.34 cnf(i_0_1273, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk103_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3)))).
% 21.80/3.34 cnf(i_0_1470, plain, (~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,abs_abs(X1),X2)),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1549, plain, (hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,X1))))|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.34 cnf(i_0_145, plain, (hAPP(nat,nat,suc,esk5_2(X1,X2))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.34 cnf(i_0_692, plain, (hAPP(nat,nat,suc,esk60_2(X2,X1))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X2)),X1)))).
% 21.80/3.34 cnf(i_0_109, plain, (X1=hAPP(nat,nat,suc,X2)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.34 cnf(i_0_115, plain, (X1=hAPP(nat,nat,suc,X2)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.34 cnf(i_0_1738, hypothesis, (~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),g)))).
% 21.80/3.34 cnf(i_0_550, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_82, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))=hAPP(nat,nat,suc,hAPP(fun(X1,bool),nat,finite_card(X1),X2))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_80, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))=hAPP(nat,nat,suc,hAPP(fun(X1,bool),nat,finite_card(X1),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3)))).
% 21.80/3.34 cnf(i_0_1440, plain, (hAPP(X1,X1,hAPP(nat,fun(X1,X1),hAPP(fun(X1,X1),fun(nat,fun(X1,X1)),semiri532925092at_aux(X1),X2),hAPP(nat,nat,suc,X3)),X4)=hAPP(X1,X1,hAPP(nat,fun(X1,X1),hAPP(fun(X1,X1),fun(nat,fun(X1,X1)),semiri532925092at_aux(X1),X2),X3),hAPP(X1,X1,X2,X4))|~semiring_1(X1))).
% 21.80/3.34 cnf(i_0_74, plain, (hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),X4),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_87, plain, (hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less_eq(nat)),X1)))=hAPP(nat,nat,suc,X1))).
% 21.80/3.34 cnf(i_0_1594, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,X1)),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))).
% 21.80/3.34 cnf(i_0_1600, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,X1)),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))).
% 21.80/3.34 cnf(i_0_627, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_630, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_633, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_163, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))))).
% 21.80/3.34 cnf(i_0_1468, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,abs_abs(X1),X2)),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_85, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,X2)),X1)=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_863, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),esk84_3(X3,X1,X2))=X1|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))).
% 21.80/3.34 cnf(i_0_869, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),esk85_3(X3,X1,X2))=X1|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))).
% 21.80/3.34 cnf(i_0_664, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_665, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_239, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_1201, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),X1)),X1)!=zero_zero(int))).
% 21.80/3.34 cnf(i_0_171, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)))).
% 21.80/3.34 cnf(i_0_584, plain, (hAPP(nat,nat,suc,X1)=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_206, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))))).
% 21.80/3.34 cnf(i_0_1485, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X3)),X2)=hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_437, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))).
% 21.80/3.34 cnf(i_0_402, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))).
% 21.80/3.34 cnf(i_0_1182, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),X3)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)))).
% 21.80/3.34 cnf(i_0_1213, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)),X3)=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3)))).
% 21.80/3.34 cnf(i_0_1189, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),X3)=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3)))).
% 21.80/3.34 cnf(i_0_439, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3))).
% 21.80/3.34 cnf(i_0_438, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3))).
% 21.80/3.34 cnf(i_0_347, plain, (hBOOL(hAPP(com,bool,wt,hAPP(option(com),com,the_1(com),hAPP(pname,option(com),body,X1))))|~hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),X1),u)))).
% 21.80/3.34 cnf(i_0_144, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,suc,esk4_3(X2,X1,X3))))|hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,X1,X3)))).
% 21.80/3.34 cnf(i_0_316, plain, (hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),hAPP(X4,fun(X1,X4),combk(X4,X1),X5)),X3)=hAPP(fun(X4,bool),fun(X4,bool),hAPP(X4,fun(fun(X4,bool),fun(X4,bool)),insert(X4),X5),bot_bot(fun(X4,bool)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_862, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,X1,esk84_3(X1,X2,X3))))).
% 21.80/3.34 cnf(i_0_868, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,X1,esk85_3(X1,X2,X3))))).
% 21.80/3.34 cnf(i_0_1734, hypothesis, (hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))))).
% 21.80/3.34 cnf(i_0_336, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk25_3(X1,X2,X3)),esk26_3(X1,X2,X3))))).
% 21.80/3.34 cnf(i_0_81, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))=hAPP(fun(X1,bool),nat,finite_card(X1),X3)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_448, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)),X1)=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_459, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),hAPP(fun(X1,bool),nat,finite_card(X1),X2))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_736, plain, (hBOOL(hAPP(X1,bool,X2,esk81_3(X1,X3,X2)))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3))))).
% 21.80/3.34 cnf(i_0_573, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.34 cnf(i_0_635, plain, (X1=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.34 cnf(i_0_917, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4))|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_1011, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_391, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4))|~ab_semigroup_add(X1))).
% 21.80/3.34 cnf(i_0_916, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4))|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_974, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))|~ab_semigroup_mult(X1))).
% 21.80/3.34 cnf(i_0_1012, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_1090, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3))=zero_zero(X1)|hAPP(X1,X1,combi(X1),X3)!=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~linord581940658strict(X1))).
% 21.80/3.34 cnf(i_0_1099, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),one_one(X1))),X2)|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_597, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X4))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X4)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_96, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1218, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1405, plain, (hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,semiring_1_of_nat(int),X2)),hAPP(nat,int,semiring_1_of_nat(int),X1))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1407, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X3)),hAPP(nat,X1,semiring_1_of_nat(X1),X2))=hAPP(nat,X1,semiring_1_of_nat(X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2))|~ring_1(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))).
% 21.80/3.34 cnf(i_0_525, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_558, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_556, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X2)))).
% 21.80/3.34 cnf(i_0_524, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_557, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_555, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4)))).
% 21.80/3.34 cnf(i_0_161, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_159, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4))|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_789, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X2)!=zero_zero(X1)|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_790, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)!=zero_zero(X1)|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1514, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,number_number_of(int),X2)),zero_zero(int)))|hAPP(int,nat,number_number_of(nat),X1)!=hAPP(int,nat,number_number_of(nat),X2)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.34 cnf(i_0_571, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X4),X5)|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_572, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X4),X5)|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_232, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X4),X5)|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_233, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X4),X5)|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_709, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),esk71_4(X1,X3,X2,X4)))|~dense_linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4)))).
% 21.80/3.34 cnf(i_0_788, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X3)!=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_140, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.34 cnf(i_0_173, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.34 cnf(i_0_735, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3)),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)))|~hBOOL(hAPP(X1,bool,X2,esk81_3(X1,X2,X3))))).
% 21.80/3.34 cnf(i_0_178, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X2)=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.34 cnf(i_0_374, plain, (hAPP(fun(X1,bool),X1,X3,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))=hAPP(X1,X1,combi(X1),X4)|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite_folding_one(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_656, plain, (~ord(X2)|~hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less(fun(X1,X2)),X4),X3))|~hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less_eq(fun(X1,X2)),X3),X4)))).
% 21.80/3.34 cnf(i_0_1550, plain, (hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1)))|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,X1)))))).
% 21.80/3.34 cnf(i_0_1539, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X1)),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),X2)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.34 cnf(i_0_483, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_578, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_111, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1596, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1598, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1589, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1591, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_287, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.34 cnf(i_0_1544, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X1)),hAPP(int,nat,number_number_of(nat),X1)))=hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,X1))|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.34 cnf(i_0_271, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_1368, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1380, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1183, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,number_number_of(int),X1)),hAPP(int,int,number_number_of(int),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1370, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1382, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1190, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,number_number_of(int),X1)),hAPP(int,int,number_number_of(int),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_353, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3)),X3)=hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3))).
% 21.80/3.34 cnf(i_0_1595, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,X1)),pls)))).
% 21.80/3.34 cnf(i_0_1601, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,X1)),pls)))).
% 21.80/3.34 cnf(i_0_587, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.34 cnf(i_0_626, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.34 cnf(i_0_631, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.34 cnf(i_0_636, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.34 cnf(i_0_108, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.34 cnf(i_0_1364, plain, (hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),hAPP(nat,X3,semiring_1_of_nat(X3),X1)),hAPP(nat,X3,semiring_1_of_nat(X3),X2)))|~linordered_semidom(X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1362, plain, (hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less_eq(X3),hAPP(nat,X3,semiring_1_of_nat(X3),X1)),hAPP(nat,X3,semiring_1_of_nat(X3),X2)))|~linordered_semidom(X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1366, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),hAPP(nat,X1,semiring_1_of_nat(X1),X3)))|~linordered_semidom(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3)))).
% 21.80/3.34 cnf(i_0_983, plain, (hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),hAPP(int,X3,number_number_of(X3),X1)),hAPP(int,X3,number_number_of(X3),X2)))|~linordered_idom(X3)|~number_ring(X3)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_994, plain, (hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less_eq(X3),hAPP(int,X3,number_number_of(X3),X1)),hAPP(int,X3,number_number_of(X3),X2)))|~linordered_idom(X3)|~number_ring(X3)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_693, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),esk60_2(X1,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.34 cnf(i_0_594, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_600, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_593, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_599, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_428, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_461, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_427, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_462, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1234, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1228, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1220, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_834, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_829, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_830, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_1209, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.34 cnf(i_0_1489, plain, (hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3)))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3))|~ordere142940540dd_abs(X1))).
% 21.80/3.34 cnf(i_0_325, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X4))|hBOOL(hAPP(fun(X1,bool),bool,X2,esk22_4(X1,X2,X3,X4)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X3)))).
% 21.80/3.34 cnf(i_0_328, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X4))|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),esk22_4(X1,X2,X3,X4)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X3)))).
% 21.80/3.34 cnf(i_0_1479, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,abs_abs(X1),X2)),X3)))).
% 21.80/3.34 cnf(i_0_138, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_183, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_718, plain, (hAPP(fun(sum_sum(X1,X3),bool),nat,finite_card(sum_sum(X1,X3)),hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X2)),hAPP(fun(X3,bool),nat,finite_card(X3),X4))|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_732, plain, (hAPP(fun(sum_sum(X1,X3),bool),nat,finite_card(sum_sum(X1,X3)),hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X2)),hAPP(fun(X3,bool),nat,finite_card(X3),X4))|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_1553, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),hAPP(int,X1,number_number_of(X1),X2))),hAPP(int,X1,number_number_of(X1),X2))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,bit1,X2))|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_125, plain, (X1=X3|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))).
% 21.80/3.34 cnf(i_0_864, plain, (hBOOL(hAPP(nat,bool,X4,X3))|X1!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)|~hBOOL(hAPP(nat,bool,X4,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))).
% 21.80/3.34 cnf(i_0_870, plain, (hBOOL(hAPP(nat,bool,X4,X3))|X1!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)|~hBOOL(hAPP(nat,bool,X4,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))).
% 21.80/3.34 cnf(i_0_794, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_783, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_214, plain, (hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X5))=hAPP(fun(X2,bool),fun(X2,bool),hAPP(X2,fun(fun(X2,bool),fun(X2,bool)),insert(X2),hAPP(X1,X2,X3,X4)),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X5)))).
% 21.80/3.34 cnf(i_0_179, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X4)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4))).
% 21.80/3.34 cnf(i_0_708, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk71_4(X1,X2,X3,X4)),X4))|~dense_linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4)))).
% 21.80/3.34 cnf(i_0_655, plain, (hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less(fun(X1,X2)),X3),X4))|hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less_eq(fun(X1,X2)),X4),X3))|~ord(X2)|~hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less_eq(fun(X1,X2)),X3),X4)))).
% 21.80/3.34 cnf(i_0_100, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),X2))).
% 21.80/3.34 cnf(i_0_970, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))).
% 21.80/3.34 cnf(i_0_963, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))).
% 21.80/3.34 cnf(i_0_1193, plain, (hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X3))=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),X3)))).
% 21.80/3.34 cnf(i_0_1194, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X3))=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3)))).
% 21.80/3.34 cnf(i_0_129, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X1)))).
% 21.80/3.34 cnf(i_0_11, plain, (hAPP(fun(fun(X1,fun(X1,X1)),fun(X1,fun(fun(X2,X1),fun(fun(fun(X2,bool),X1),bool)))),fun(fun(X1,fun(X1,X1)),fun(X1,fun(fun(X2,X1),fun(fun(fun(X2,bool),X1),bool)))),combi(fun(fun(X1,fun(X1,X1)),fun(X1,fun(fun(X2,X1),fun(fun(fun(X2,bool),X1),bool))))),finite1357897459simple(X1,X2))=finite1357897459simple(X1,X2))).
% 21.80/3.34 cnf(i_0_12, plain, (hAPP(fun(fun(X1,fun(X1,X1)),fun(X1,fun(fun(X2,X1),fun(fun(fun(X2,bool),X1),bool)))),fun(fun(X1,fun(X1,X1)),fun(X1,fun(fun(X2,X1),fun(fun(fun(X2,bool),X1),bool)))),combi(fun(fun(X1,fun(X1,X1)),fun(X1,fun(fun(X2,X1),fun(fun(fun(X2,bool),X1),bool))))),finite908156982e_idem(X1,X2))=finite908156982e_idem(X1,X2))).
% 21.80/3.34 cnf(i_0_685, plain, (hAPP(fun(nat,bool),fun(X1,bool),hAPP(fun(nat,X1),fun(fun(nat,bool),fun(X1,bool)),image(nat,X1),esk55_2(X1,X2)),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),esk54_2(X1,X2))))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_105, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))))).
% 21.80/3.34 cnf(i_0_116, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.34 cnf(i_0_203, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),hAPP(X1,X2,X3,X5)),hAPP(X1,X2,X4,X5)))|~ord(X2)|~hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less_eq(fun(X1,X2)),X3),X4)))).
% 21.80/3.34 cnf(i_0_204, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,X5)),hAPP(X2,X1,X4,X5)))|~ord(X1)|~hBOOL(hAPP(fun(X2,X1),bool,hAPP(fun(X2,X1),fun(fun(X2,X1),bool),ord_less_eq(fun(X2,X1)),X3),X4)))).
% 21.80/3.34 cnf(i_0_205, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,X5)),hAPP(X2,X1,X4,X5)))|~ord(X1)|~hBOOL(hAPP(fun(X2,X1),bool,hAPP(fun(X2,X1),fun(fun(X2,X1),bool),ord_less_eq(fun(X2,X1)),X3),X4)))).
% 21.80/3.34 cnf(i_0_694, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_139, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_188, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_190, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_189, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4)))).
% 21.80/3.34 cnf(i_0_281, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))|hAPP(X1,X1,combi(X1),X4)!=hAPP(X1,X1,combi(X1),X5)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.34 cnf(i_0_282, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),bot_bot(fun(X1,bool))))|hAPP(X1,X1,combi(X1),X4)!=hAPP(X1,X1,combi(X1),X5)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.34 cnf(i_0_723, plain, (hBOOL(hAPP(fun(sum_sum(X1,X3),bool),bool,finite_finite(sum_sum(X1,X3)),hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4)))|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_724, plain, (hBOOL(hAPP(fun(sum_sum(X1,X3),bool),bool,finite_finite(sum_sum(X1,X3)),hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4)))|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_915, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),X3)|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_1013, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),X3)|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_1017, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4))|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_932, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(int,nat,number_number_of(nat),X1)),one_one(nat)))=hAPP(int,nat,number_number_of(nat),X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(int,nat,number_number_of(nat),X1))))).
% 21.80/3.34 cnf(i_0_1098, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X3)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),one_one(X1))),X3)|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_1387, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|~hBOOL(hAPP(fun(int,bool),bool,finite_finite(int),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1))))).
% 21.80/3.34 cnf(i_0_215, plain, (hAPP(fun(X4,bool),fun(X4,bool),hAPP(X4,fun(fun(X4,bool),fun(X4,bool)),insert(X4),hAPP(X1,X4,X5,X2)),hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X5),X3))=hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X5),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_177, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X4)|hBOOL(hAPP(X1,bool,X3,X4))|~hBOOL(hAPP(X1,bool,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3),X4)))).
% 21.80/3.34 cnf(i_0_1585, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,hAPP(int,int,bit1,pls))))))).
% 21.80/3.34 cnf(i_0_1506, plain, (hAPP(int,nat,number_number_of(nat),X1)=hAPP(int,nat,number_number_of(nat),X2)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,number_number_of(int),X2)),zero_zero(int))))).
% 21.80/3.34 cnf(i_0_585, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_579, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2))))).
% 21.80/3.34 cnf(i_0_588, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2))))).
% 21.80/3.34 cnf(i_0_112, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2))))).
% 21.80/3.34 cnf(i_0_1597, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2))))).
% 21.80/3.34 cnf(i_0_1599, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2))))).
% 21.80/3.34 cnf(i_0_1590, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2))))).
% 21.80/3.34 cnf(i_0_1592, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2))))).
% 21.80/3.34 cnf(i_0_865, plain, (hBOOL(hAPP(nat,bool,X3,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))).
% 21.80/3.34 cnf(i_0_871, plain, (hBOOL(hAPP(nat,bool,X3,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))).
% 21.80/3.34 cnf(i_0_1369, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))))).
% 21.80/3.34 cnf(i_0_1381, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))))).
% 21.80/3.34 cnf(i_0_1371, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))))).
% 21.80/3.34 cnf(i_0_1383, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))))).
% 21.80/3.34 cnf(i_0_1184, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,number_number_of(int),X1)),hAPP(int,int,number_number_of(int),X2))))).
% 21.80/3.34 cnf(i_0_1191, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,number_number_of(int),X1)),hAPP(int,int,number_number_of(int),X2))))).
% 21.80/3.34 cnf(i_0_440, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X1)),X2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_445, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)),X1)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_451, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)),X1)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_695, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_659, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_660, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4)))).
% 21.80/3.34 cnf(i_0_191, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_260, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))).
% 21.80/3.34 cnf(i_0_623, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1)))))).
% 21.80/3.34 cnf(i_0_622, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)))))).
% 21.80/3.34 cnf(i_0_637, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),hAPP(nat,nat,suc,X1))))).
% 21.80/3.34 cnf(i_0_1503, plain, (hAPP(int,nat,number_number_of(nat),X1)=hAPP(int,nat,number_number_of(nat),X2)|hAPP(int,int,number_number_of(int),X2)!=zero_zero(int)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,number_number_of(int),X1)),zero_zero(int))))).
% 21.80/3.34 cnf(i_0_1365, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),hAPP(nat,X1,semiring_1_of_nat(X1),X3))))).
% 21.80/3.34 cnf(i_0_1367, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),hAPP(nat,X1,semiring_1_of_nat(X1),X3))))).
% 21.80/3.34 cnf(i_0_1363, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),hAPP(nat,X1,semiring_1_of_nat(X1),X3))))).
% 21.80/3.34 cnf(i_0_984, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~linordered_idom(X1)|~number_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))))).
% 21.80/3.34 cnf(i_0_995, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3))|~linordered_idom(X1)|~number_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))))).
% 21.80/3.34 cnf(i_0_141, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_172, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_180, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_880, plain, (X1=zero_zero(nat)|hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2))).
% 21.80/3.34 cnf(i_0_1221, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),one_one(int)))))).
% 21.80/3.34 cnf(i_0_1229, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),one_one(int)))))).
% 21.80/3.34 cnf(i_0_835, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))).
% 21.80/3.34 cnf(i_0_1235, plain, (X1=X2|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),one_one(int)))))).
% 21.80/3.34 cnf(i_0_1113, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1))))).
% 21.80/3.34 cnf(i_0_1114, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2))))).
% 21.80/3.34 cnf(i_0_1538, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,succ,X1))),X2)=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X1)),X2))|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.34 cnf(i_0_1324, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,X1,esk114_3(X2,X1,X3)))|~hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk115_3(X2,X1,X3)),one_one(int)))))).
% 21.80/3.34 cnf(i_0_1322, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,X1,esk115_3(X2,X1,X3)))|~hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),esk114_3(X2,X1,X3)),one_one(int)))))).
% 21.80/3.34 cnf(i_0_668, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X3)),hAPP(fun(X1,bool),nat,finite_card(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),X2)))).
% 21.80/3.34 cnf(i_0_77, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X3)),hAPP(fun(X1,bool),nat,finite_card(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2)))).
% 21.80/3.34 cnf(i_0_384, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X4)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),X1,X3,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,X5),hAPP(fun(X1,bool),X1,X3,X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite2073411215e_idem(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_1091, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2))!=zero_zero(X1)|~linord581940658strict(X1))).
% 21.80/3.34 cnf(i_0_1092, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3))!=zero_zero(X1)|~linord581940658strict(X1))).
% 21.80/3.34 cnf(i_0_928, plain, (hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),X3),X4),X5),bot_bot(fun(X1,bool)))=hAPP(X2,X2,combi(X2),X5))).
% 21.80/3.34 cnf(i_0_689, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk57_3(X1,X2,X3)),esk58_3(X1,X2,X3)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,X3,X1)),hAPP(nat,nat,X3,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1089, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X5)=hAPP(X1,X1,combi(X1),X6)|hAPP(X1,X1,combi(X1),X3)!=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X5))!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X6))|~semiri456707255roduct(X1))).
% 21.80/3.34 cnf(i_0_322, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X3)),hAPP(fun(X1,bool),nat,finite_card(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_795, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2))))).
% 21.80/3.34 cnf(i_0_784, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2))))).
% 21.80/3.34 cnf(i_0_1028, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(int,X1,number_number_of(X1),X3)),hAPP(int,X1,number_number_of(X1),X2)))|~number(X1)|~linorder(X1))).
% 21.80/3.34 cnf(i_0_1556, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,hAPP(int,int,bit1,pls)))),X1)=hAPP(nat,nat,suc,hAPP(nat,nat,suc,hAPP(nat,nat,suc,X1))))).
% 21.80/3.34 cnf(i_0_1481, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X3)),hAPP(X1,X1,abs_abs(X1),X2))=hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))|~ordered_ring_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1482, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X3)),hAPP(X1,X1,abs_abs(X1),X2))=hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))|~ordered_ring_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1483, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X3)),hAPP(X1,X1,abs_abs(X1),X2))=hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))|~ordered_ring_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))).
% 21.80/3.34 cnf(i_0_1484, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X3)),hAPP(X1,X1,abs_abs(X1),X2))=hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))|~ordered_ring_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1173, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),X2)),X2)!=zero_zero(X1)|~ring_char_0(X1)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1))))).
% 21.80/3.34 cnf(i_0_273, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)),X3)=hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X4),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_275, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)),X3)=hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X4),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_1277, plain, (hBOOL(hAPP(int,bool,X1,X3))|hBOOL(hAPP(int,bool,X1,esk105_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),one_one(int)))))).
% 21.80/3.34 cnf(i_0_1269, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,X1,esk102_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X3),one_one(int)))))).
% 21.80/3.34 cnf(i_0_969, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3))).
% 21.80/3.34 cnf(i_0_962, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3))).
% 21.80/3.34 cnf(i_0_1192, plain, (hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X1),X2)),X3))).
% 21.80/3.34 cnf(i_0_1196, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)),X3))).
% 21.80/3.34 cnf(i_0_1517, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X2)),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X2)),X3)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.34 cnf(i_0_1171, plain, (X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2))).
% 21.80/3.34 cnf(i_0_456, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,X5),hAPP(fun(X1,bool),X1,X3,X4))=hAPP(fun(X1,bool),X1,X3,X4)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X5),X4))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite2073411215e_idem(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_327, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk21_4(X1,X2,X3,X4)),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X3)))).
% 21.80/3.34 cnf(i_0_212, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_1413, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,X1),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.34 cnf(i_0_259, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_1112, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_1284, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.34 cnf(i_0_1282, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.34 cnf(i_0_272, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3))))).
% 21.80/3.34 cnf(i_0_1021, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X4)|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_954, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X4)|~comm_semiring(X1))).
% 21.80/3.34 cnf(i_0_1022, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),X3)|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_707, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X2))|~dense_linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),esk71_4(X1,X2,X3,X4)),X2)))).
% 21.80/3.34 cnf(i_0_200, plain, (hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),hAPP(fun(X4,bool),fun(X1,bool),hAPP(fun(X4,X1),fun(fun(X4,bool),fun(X1,bool)),image(X4,X1),X5),X6))=hAPP(fun(X4,bool),fun(X2,bool),hAPP(fun(X4,X2),fun(fun(X4,bool),fun(X2,bool)),image(X4,X2),hAPP(fun(X4,X1),fun(X4,X2),hAPP(fun(X1,X2),fun(fun(X4,X1),fun(X4,X2)),combb(X1,X2,X4),X3),X5)),X6))).
% 21.80/3.34 cnf(i_0_923, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linordered_field(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),esk99_3(X1,X2,X3)))))).
% 21.80/3.34 cnf(i_0_800, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_846, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_845, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_792, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X2)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_791, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1083, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1033, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1042, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1053, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_366, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))))=hAPP(fun(X1,bool),nat,finite_card(X1),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3)))).
% 21.80/3.34 cnf(i_0_1093, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X2)))).
% 21.80/3.34 cnf(i_0_798, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_844, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_843, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))).
% 21.80/3.34 cnf(i_0_1075, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_787, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1046, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~ordere453448008miring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1034, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1054, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_194, plain, (hBOOL(hAPP(fun(X4,bool),bool,hAPP(X4,fun(fun(X4,bool),bool),member(X4),X5),hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X6),X3)))|hAPP(X4,X4,combi(X4),X5)!=hAPP(X1,X4,X6,X2)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_198, plain, (hBOOL(hAPP(fun(X4,bool),bool,hAPP(X4,fun(fun(X4,bool),bool),member(X4),X5),hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X6),X3)))|hAPP(X4,X4,combi(X4),X5)!=hAPP(X1,X4,X6,X2)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_137, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X6)))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X3,X1,X4,X5)|~hBOOL(hAPP(fun(X3,bool),bool,hAPP(X3,fun(fun(X3,bool),bool),member(X3),X5),X6)))).
% 21.80/3.34 cnf(i_0_1416, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2))))|~hBOOL(hAPP(int,bool,X1,zero_zero(int))))).
% 21.80/3.34 cnf(i_0_1327, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),esk114_3(X2,X1,X3)))|~hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk115_3(X2,X1,X3)),one_one(int)))))).
% 21.80/3.34 cnf(i_0_1262, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),X3))|hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X3))!=X1|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.34 cnf(i_0_280, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))).
% 21.80/3.34 cnf(i_0_288, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))).
% 21.80/3.34 cnf(i_0_1263, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),one_one(int)))|hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X3))!=X1|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2)))).
% 21.80/3.34 cnf(i_0_696, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk61_3(X1,X2,X3)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_452, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)),X3)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)),X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_453, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)),X3)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)),X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_612, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1208, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X1),X2)),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1230, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),one_one(int))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1232, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),one_one(int))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1323, plain, (hBOOL(hAPP(int,bool,X2,X1))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk115_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,X2,X3))|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),esk114_3(X1,X2,X3)),one_one(int)))))).
% 21.80/3.34 cnf(i_0_721, plain, (hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X4))|~hBOOL(hAPP(fun(sum_sum(X1,X2),bool),bool,finite_finite(sum_sum(X1,X2)),hAPP(fun(X2,bool),fun(sum_sum(X1,X2),bool),hAPP(fun(X1,bool),fun(fun(X2,bool),fun(sum_sum(X1,X2),bool)),sum_Plus(X1,X2),X3),X4))))).
% 21.80/3.34 cnf(i_0_722, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(sum_sum(X1,X2),bool),bool,finite_finite(sum_sum(X1,X2)),hAPP(fun(X2,bool),fun(sum_sum(X1,X2),bool),hAPP(fun(X1,bool),fun(fun(X2,bool),fun(sum_sum(X1,X2),bool)),sum_Plus(X1,X2),X3),X4))))).
% 21.80/3.34 cnf(i_0_725, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(sum_sum(X3,X1),bool),bool,finite_finite(sum_sum(X3,X1)),hAPP(fun(X1,bool),fun(sum_sum(X3,X1),bool),hAPP(fun(X3,bool),fun(fun(X1,bool),fun(sum_sum(X3,X1),bool)),sum_Plus(X3,X1),X4),X2))))).
% 21.80/3.34 cnf(i_0_726, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(sum_sum(X1,X3),bool),bool,finite_finite(sum_sum(X1,X3)),hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4))))).
% 21.80/3.34 cnf(i_0_1278, plain, (hBOOL(hAPP(int,bool,X2,X3))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),esk105_3(X2,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X3))|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),one_one(int)))))).
% 21.80/3.34 cnf(i_0_276, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X4),X2))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_274, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)),X3)=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X4),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_831, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2))))).
% 21.80/3.34 cnf(i_0_804, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),zero_zero(X1)))|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_802, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),zero_zero(X1)))|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_899, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)),zero_zero(X1)))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_796, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)),zero_zero(X1)))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_785, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)),zero_zero(X1)))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1270, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk102_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X3),one_one(int)))))).
% 21.80/3.34 cnf(i_0_1279, plain, (hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),esk106_3(X1,X2,X3)),one_one(int)))))).
% 21.80/3.34 cnf(i_0_1271, plain, (hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk103_3(X1,X2,X3)),one_one(int)))))).
% 21.80/3.34 cnf(i_0_1057, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))))).
% 21.80/3.34 cnf(i_0_1056, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3))))).
% 21.80/3.34 cnf(i_0_1055, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))))).
% 21.80/3.34 cnf(i_0_1058, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3))))).
% 21.80/3.34 cnf(i_0_1417, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|hBOOL(hAPP(int,bool,X3,hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)))))).
% 21.80/3.34 cnf(i_0_1434, plain, (hBOOL(hAPP(fun(int,bool),bool,hAPP(int,fun(fun(int,bool),bool),member(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X2)))|~hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1516, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X1)),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X2)),X3)|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X2)))|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.34 cnf(i_0_377, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X4)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),X1,X3,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,X5),hAPP(fun(X1,bool),X1,X3,X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X5),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite_folding_one(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_967, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X1)))))).
% 21.80/3.34 cnf(i_0_1177, plain, (hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X3),one_one(X2)),X4)=one_one(X2)|hAPP(X1,X2,X3,esk101_4(X1,X2,X3,X4))!=one_one(X2)|~comm_monoid_mult(X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4)))).
% 21.80/3.34 cnf(i_0_258, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_285, plain, (hAPP(X1,X1,combi(X1),X3)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),bot_bot(fun(X1,bool))))!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))))).
% 21.80/3.34 cnf(i_0_284, plain, (hAPP(X1,X1,combi(X1),X3)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))))).
% 21.80/3.34 cnf(i_0_283, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))))).
% 21.80/3.34 cnf(i_0_286, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),bot_bot(fun(X1,bool))))!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))))).
% 21.80/3.34 cnf(i_0_1736, hypothesis, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(x_a,bool),nat,finite_card(x_a),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),hAPP(nat,nat,suc,na))=hAPP(fun(x_a,bool),nat,finite_card(x_a),g))).
% 21.80/3.34 cnf(i_0_123, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X1))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_197, plain, (hBOOL(hAPP(fun(X4,bool),bool,hAPP(X4,fun(fun(X4,bool),bool),member(X4),hAPP(X1,X4,X5,X2)),hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X5),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_350, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_354, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_457, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X1)),hAPP(nat,nat,suc,X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_262, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X4)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))).
% 21.80/3.34 cnf(i_0_1014, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5)))|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_914, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X5))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X5))|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_1016, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5))|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_464, plain, (hAPP(fun(X1,bool),X1,hAPP(X1,fun(fun(X1,bool),X1),partial_flat_lub(X1),X3),X2)=hAPP(X1,X1,combi(X1),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))).
% 21.80/3.34 cnf(i_0_617, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(nat,bool),fun(X1,bool),hAPP(fun(nat,X1),fun(fun(nat,bool),fun(X1,bool)),image(nat,X1),X3),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),X4))))).
% 21.80/3.34 cnf(i_0_684, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(nat,bool),fun(X1,bool),hAPP(fun(nat,X1),fun(fun(nat,bool),fun(X1,bool)),image(nat,X1),X3),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),X4))))).
% 21.80/3.34 cnf(i_0_383, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X5)=bot_bot(fun(X1,bool))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,hAPP(fun(X1,bool),X1,X3,X5)),hAPP(fun(X1,bool),X1,X3,X4))=hAPP(fun(X1,bool),X1,X3,X4)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X5),X4))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite2073411215e_idem(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_210, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_267, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_484, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),X1)))))).
% 21.80/3.34 cnf(i_0_86, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less_eq(nat)),X1)))))).
% 21.80/3.34 cnf(i_0_278, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3)),X2)))).
% 21.80/3.34 cnf(i_0_388, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),esk37_3(X1,X2,X3))!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk35_3(X1,X2,X3)),bot_bot(fun(X1,bool))))))).
% 21.80/3.34 cnf(i_0_386, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|hBOOL(hAPP(fun(X1,bool),bool,X2,esk37_3(X1,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk35_3(X1,X2,X3)),bot_bot(fun(X1,bool))))))).
% 21.80/3.34 cnf(i_0_389, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),esk37_3(X1,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk35_3(X1,X2,X3)),bot_bot(fun(X1,bool))))))).
% 21.80/3.34 cnf(i_0_142, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4))))).
% 21.80/3.34 cnf(i_0_174, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4))))).
% 21.80/3.34 cnf(i_0_1078, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3))))).
% 21.80/3.34 cnf(i_0_1079, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3))))).
% 21.80/3.34 cnf(i_0_334, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk25_3(X1,X2,X3)),esk26_3(X1,X2,X3)))))).
% 21.80/3.34 cnf(i_0_130, plain, (hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X3,bool),bool,hAPP(fun(X3,bool),fun(fun(X3,bool),bool),ord_less_eq(fun(X3,bool)),X4),hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),X5),X2))))).
% 21.80/3.34 cnf(i_0_1523, plain, (hAPP(nat,int,X1,esk144_3(X2,X1,X3))=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk143_3(X2,X1,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,zero_zero(nat))),X2)))).
% 21.80/3.34 cnf(i_0_1527, plain, (hAPP(nat,int,X1,esk146_3(X2,X1,X3))=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk145_3(X2,X1,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,zero_zero(nat))),X2)))).
% 21.80/3.34 cnf(i_0_314, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))).
% 21.80/3.34 cnf(i_0_925, plain, (hAPP(fun(X1,bool),nat,hAPP(nat,fun(fun(X1,bool),nat),hAPP(fun(X1,nat),fun(nat,fun(fun(X1,bool),nat)),hAPP(fun(nat,fun(nat,nat)),fun(fun(X1,nat),fun(nat,fun(fun(X1,bool),nat))),finite_fold_image(nat,X1),plus_plus(nat)),hAPP(nat,fun(X1,nat),combk(nat,X1),one_one(nat))),zero_zero(nat)),X2)=hAPP(fun(X1,bool),nat,finite_card(X1),X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_927, plain, (hAPP(fun(X1,bool),nat,hAPP(nat,fun(fun(X1,bool),nat),hAPP(fun(X1,nat),fun(nat,fun(fun(X1,bool),nat)),hAPP(fun(nat,fun(nat,nat)),fun(fun(X1,nat),fun(nat,fun(fun(X1,bool),nat))),finite_fold_image(nat,X1),plus_plus(nat)),hAPP(nat,fun(X1,nat),combk(nat,X1),one_one(nat))),zero_zero(nat)),X2)=hAPP(fun(X1,bool),nat,finite_card(X1),X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_349, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X4))))).
% 21.80/3.34 cnf(i_0_352, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X4))))).
% 21.80/3.34 cnf(i_0_356, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X4))))).
% 21.80/3.34 cnf(i_0_1018, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X2))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~semiri456707255roduct(X1))).
% 21.80/3.34 cnf(i_0_1023, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X2))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~semiri456707255roduct(X1))).
% 21.80/3.34 cnf(i_0_1019, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X5)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~semiri456707255roduct(X1))).
% 21.80/3.34 cnf(i_0_1024, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X5)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~semiri456707255roduct(X1))).
% 21.80/3.34 cnf(i_0_235, plain, (hBOOL(hAPP(nat,bool,hAPP(fun(nat,bool),fun(nat,bool),hAPP(bool,fun(fun(nat,bool),fun(nat,bool)),nat_case(bool),fFalse),hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.34 cnf(i_0_119, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,X1)),X2)),hAPP(nat,nat,suc,X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3))).
% 21.80/3.34 cnf(i_0_216, plain, (hBOOL(hAPP(fun(X4,bool),bool,hAPP(fun(X4,bool),fun(fun(X4,bool),bool),ord_less_eq(fun(X4,bool)),X5),hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X6),X3)))|hAPP(fun(X4,bool),fun(X4,bool),combi(fun(X4,bool)),X5)!=hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X6),X2)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_590, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X2)))).
% 21.80/3.34 cnf(i_0_589, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X1)))).
% 21.80/3.34 cnf(i_0_136, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk3_4(X2,X1,X3,X4)),X4))|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X4))))).
% 21.80/3.34 cnf(i_0_674, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X4),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X4),X3)))).
% 21.80/3.34 cnf(i_0_78, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X2)),hAPP(fun(X1,bool),nat,finite_card(X1),X3))))).
% 21.80/3.34 cnf(i_0_1166, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1))))).
% 21.80/3.34 cnf(i_0_1163, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))))).
% 21.80/3.34 cnf(i_0_231, plain, (hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),esk16_2(X1,X2)),u))|hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,X1),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(com,x_a,mgt,X2)),bot_bot(fun(x_a,bool)))))|~hBOOL(hAPP(com,bool,wt,X2)))).
% 21.80/3.34 cnf(i_0_367, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X3)),one_one(nat))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_368, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X2)),one_one(nat))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.34 cnf(i_0_1060, plain, (~linordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_836, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_195, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X3,X1,X4,esk7_5(X1,X3,X2,X4,X5))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X5))))).
% 21.80/3.34 cnf(i_0_221, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X3,X1,X4,esk10_5(X1,X3,X2,X4,X5))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X5))))).
% 21.80/3.34 cnf(i_0_359, plain, (hAPP(fun(X1,bool),X1,X4,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))=hAPP(X1,X1,combi(X1),X3)|hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite_folding_one(X1),X5),X4)))).
% 21.80/3.34 cnf(i_0_1423, plain, (hAPP(X1,X1,hAPP(nat,fun(X1,X1),hAPP(fun(X1,X1),fun(nat,fun(X1,X1)),semiri532925092at_aux(X1),hAPP(X1,fun(X1,X1),hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combc(X1,X1,X1),plus_plus(X1)),one_one(X1))),X2),zero_zero(X1))=hAPP(nat,X1,semiring_1_of_nat(X1),X2)|~semiring_1(X1))).
% 21.80/3.34 cnf(i_0_1735, hypothesis, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,na)),hAPP(fun(x_a,bool),nat,finite_card(x_a),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))))).
% 21.80/3.34 cnf(i_0_351, plain, (~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X4))))).
% 21.80/3.34 cnf(i_0_348, plain, (~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X4),X3))))).
% 21.80/3.34 cnf(i_0_355, plain, (~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X4),X3))))).
% 21.80/3.34 cnf(i_0_799, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),zero_zero(X1)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_848, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),zero_zero(X1)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_847, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),zero_zero(X1)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_793, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),zero_zero(X1)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1077, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),zero_zero(X1)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1076, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1082, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3)))).
% 21.80/3.34 cnf(i_0_1044, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),zero_zero(X1)))|~ordere453448008miring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1032, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~ordere453448008miring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1045, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~ordere453448008miring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1031, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~ordere453448008miring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))).
% 21.80/3.34 cnf(i_0_1043, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~ordere453448008miring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))).
% 21.80/3.34 cnf(i_0_1048, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1047, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))).
% 21.80/3.34 cnf(i_0_997, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(int,X1,number_number_of(X1),X4))),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),hAPP(int,X1,number_number_of(X1),X4)))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),hAPP(int,X1,number_number_of(X1),X4))|~number(X1)|~ring(X1))).
% 21.80/3.34 cnf(i_0_1004, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(int,X1,number_number_of(X1),X4))),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),hAPP(int,X1,number_number_of(X1),X4)))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(int,X1,number_number_of(X1),X4))|~semiring(X1)|~number(X1))).
% 21.80/3.34 cnf(i_0_677, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_326, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk21_4(X1,X2,X3,X4)),esk22_4(X1,X2,X3,X4))))).
% 21.80/3.34 cnf(i_0_1373, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),X2)),X3))=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2))),X3))).
% 21.80/3.34 cnf(i_0_591, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_595, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_128, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_127, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_425, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_429, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_965, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1162, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_966, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1165, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1226, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X3)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1212, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X3),X1)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X3),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.34 cnf(i_0_1030, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(int,X1,number_number_of(X1),X3)),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3))),X4)|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_1003, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),X3)),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3))),X4)|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_992, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X3)),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))),X4)|~number_ring(X1))).
% 21.80/3.34 cnf(i_0_1524, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk143_3(X1,X2,X3)),X3))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk144_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,zero_zero(nat))),X1)))).
% 21.80/3.34 cnf(i_0_1528, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk145_3(X1,X2,X3)),X3))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk146_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,zero_zero(nat))),X1)))).
% 21.80/3.34 cnf(i_0_1178, plain, (hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X3),one_one(X2)),X4)=one_one(X2)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk101_4(X1,X2,X3,X4)),X4))|~comm_monoid_mult(X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4)))).
% 21.80/3.34 cnf(i_0_361, plain, (hAPP(fun(X1,bool),X1,X4,X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite_folding_one(X1),X5),X4)))).
% 21.80/3.34 cnf(i_0_211, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4))))).
% 21.80/3.34 cnf(i_0_269, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_458, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))),X3)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_561, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3)))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_564, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_559, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4)))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_563, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_409, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3)))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_412, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3)))|~ordere779506340up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_407, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4)))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_411, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4)))|~ordere779506340up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_598, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3)))).
% 21.80/3.34 cnf(i_0_431, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3)))).
% 21.80/3.34 cnf(i_0_432, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3)))).
% 21.80/3.34 cnf(i_0_433, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X1)),X2)))).
% 21.80/3.34 cnf(i_0_434, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),X2)))).
% 21.80/3.34 cnf(i_0_1207, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X1),X2)),zero_zero(int))))).
% 21.80/3.34 cnf(i_0_1231, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),one_one(int))),X2)))).
% 21.80/3.34 cnf(i_0_234, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(fun(nat,bool),fun(nat,bool),hAPP(bool,fun(fun(nat,bool),fun(nat,bool)),nat_case(bool),fFalse),hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1)),X2)))).
% 21.80/3.34 cnf(i_0_683, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X3)),hAPP(fun(X1,bool),nat,finite_card(X1),X2))))).
% 21.80/3.34 cnf(i_0_1160, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1))))).
% 21.80/3.34 cnf(i_0_1161, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2))))).
% 21.80/3.34 cnf(i_0_79, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X2)),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_934, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),ring_1_Ints(X1)))|~ring_1(X1)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),ring_1_Ints(X1)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1))))).
% 21.80/3.34 cnf(i_0_999, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),ring_1_Ints(X1)))|~ring_1(X1)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),ring_1_Ints(X1)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1))))).
% 21.80/3.34 cnf(i_0_993, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),ring_1_Ints(X1)))|~ring_1(X1)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),ring_1_Ints(X1)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1))))).
% 21.80/3.34 cnf(i_0_857, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),hAPP(nat,nat,suc,X2))),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_803, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_801, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_217, plain, (hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),esk9_5(X1,X3,X2,X4,X5))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X5))))).
% 21.80/3.34 cnf(i_0_900, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_797, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_786, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1433, plain, (hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X1),X2))|~hBOOL(hAPP(fun(int,bool),bool,hAPP(int,fun(fun(int,bool),bool),member(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X2))))).
% 21.80/3.34 cnf(i_0_1015, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X5))|~comm_semiring_1(X1))).
% 21.80/3.34 cnf(i_0_1029, plain, (~number(X1)|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(int,X1,number_number_of(X1),X3)),hAPP(int,X1,number_number_of(X1),X2)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))))).
% 21.80/3.34 cnf(i_0_672, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_387, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk36_3(X1,X2,X3)),esk37_3(X1,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk35_3(X1,X2,X3)),bot_bot(fun(X1,bool))))))).
% 21.80/3.34 cnf(i_0_682, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X4),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))))).
% 21.80/3.34 cnf(i_0_1418, plain, (hBOOL(hAPP(int,bool,X3,zero_zero(int)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(int,bool,X3,hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)))))).
% 21.80/3.34 cnf(i_0_998, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X3),X4))|~number(X1)|~ring(X1))).
% 21.80/3.34 cnf(i_0_1002, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4))|~semiring(X1)|~number(X1))).
% 21.80/3.34 cnf(i_0_131, plain, (hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),esk1_5(X3,X1,X4,X5,X2))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X5))))).
% 21.80/3.34 cnf(i_0_639, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3))))).
% 21.80/3.34 cnf(i_0_441, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3))))).
% 21.80/3.34 cnf(i_0_1535, plain, (hAPP(nat,int,X1,esk148_4(X2,X1,X3,X4))=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),esk147_4(X2,X1,X3,X4)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X4),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,X4)),X2)))).
% 21.80/3.34 cnf(i_0_1321, plain, (hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk115_3(X2,X1,X3)),one_one(int))))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),esk114_3(X2,X1,X3)),one_one(int)))))).
% 21.80/3.34 cnf(i_0_680, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_1146, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),X2))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),one_one(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1147, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X2))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),one_one(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1276, plain, (hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),one_one(int))))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),esk105_3(X1,X2,X3)),one_one(int)))))).
% 21.80/3.34 cnf(i_0_1268, plain, (hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X3),one_one(int))))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk102_3(X1,X2,X3)),one_one(int)))))).
% 21.80/3.34 cnf(i_0_1156, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),X1)))).
% 21.80/3.34 cnf(i_0_1157, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),X1)))).
% 21.80/3.34 cnf(i_0_613, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_641, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X1)))).
% 21.80/3.34 cnf(i_0_596, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X4)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_430, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X4)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_964, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X4)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1227, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X3)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),X4)))).
% 21.80/3.34 cnf(i_0_1104, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))).
% 21.80/3.34 cnf(i_0_1242, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))).
% 21.80/3.34 cnf(i_0_1106, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_1105, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))).
% 21.80/3.34 cnf(i_0_1109, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_1244, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))).
% 21.80/3.34 cnf(i_0_1197, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X3),X1)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X3),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3)))).
% 21.80/3.34 cnf(i_0_1050, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1049, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1052, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1051, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_688, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,X1,X2)),hAPP(nat,nat,X1,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,X1,esk57_3(X2,X3,X1))),hAPP(nat,nat,X1,esk58_3(X2,X3,X1)))))).
% 21.80/3.34 cnf(i_0_390, plain, (hAPP(fun(X1,bool),X1,the(X1),hAPP(fun(X1,fun(X1,bool)),fun(X1,bool),hAPP(fun(fun(X1,bool),bool),fun(fun(X1,fun(X1,bool)),fun(X1,bool)),combb(fun(X1,bool),bool,X1),hAPP(fun(X1,bool),fun(fun(X1,bool),bool),fequal(fun(X1,bool)),X2)),hAPP(fun(X1,bool),fun(X1,fun(X1,bool)),hAPP(fun(X1,fun(fun(X1,bool),fun(X1,bool))),fun(fun(X1,bool),fun(X1,fun(X1,bool))),combc(X1,fun(X1,bool),fun(X1,bool)),insert(X1)),bot_bot(fun(X1,bool)))))=hAPP(fun(X1,bool),X1,the_elem(X1),X2))).
% 21.80/3.34 cnf(i_0_1532, plain, (hAPP(nat,int,X1,esk148_4(X2,X1,X3,X4))=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk147_4(X2,X1,X3,X4)),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X4),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,X4)),X2)))).
% 21.80/3.34 cnf(i_0_1515, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X1)),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X1))),X3)|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X2)))|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.34 cnf(i_0_565, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X5)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_621, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X5)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_620, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X5)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5)))).
% 21.80/3.34 cnf(i_0_413, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X5)))|~ordere779506340up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_1290, plain, (hBOOL(hAPP(int,bool,X1,esk108_3(X2,X1,X3)))|hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X4),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))))|~hBOOL(hAPP(int,bool,X1,X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2)))).
% 21.80/3.34 cnf(i_0_1316, plain, (hBOOL(hAPP(int,bool,X1,esk109_3(X2,X1,X3)))|hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X4),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))))|~hBOOL(hAPP(int,bool,X1,X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2)))).
% 21.80/3.34 cnf(i_0_1080, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1088, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1061, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1087, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1067, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1037, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1134, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1038, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1073, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4)))).
% 21.80/3.34 cnf(i_0_1085, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4)))).
% 21.80/3.34 cnf(i_0_1086, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)))|~linord893533164strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4)))).
% 21.80/3.34 cnf(i_0_1062, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1084, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4)))).
% 21.80/3.34 cnf(i_0_1068, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1040, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)))|~ordered_semiring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4)))).
% 21.80/3.34 cnf(i_0_1039, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)))|~ordere1490568538miring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4)))).
% 21.80/3.34 cnf(i_0_1136, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4)))).
% 21.80/3.34 cnf(i_0_1041, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)))|~ordered_semiring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4)))).
% 21.80/3.34 cnf(i_0_207, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X3)))).
% 21.80/3.34 cnf(i_0_132, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),esk1_5(X1,X2,X3,X4,X5)))|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X5))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(fun(X2,bool),fun(fun(X2,bool),bool),ord_less_eq(fun(X2,bool)),X5),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X4))))).
% 21.80/3.34 cnf(i_0_1174, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linord1117847801e_zero(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),esk100_3(X1,X2,X3)),X2)),X3)))).
% 21.80/3.34 cnf(i_0_638, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3)))).
% 21.80/3.34 cnf(i_0_442, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3)))).
% 21.80/3.34 cnf(i_0_1537, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),esk147_4(X2,X3,X4,X1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),esk148_4(X2,X3,X4,X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X3,X1)),X2)))).
% 21.80/3.34 cnf(i_0_309, plain, (hAPP(nat,nat,suc,hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_447, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3))))).
% 21.80/3.34 cnf(i_0_1158, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),X1)))).
% 21.80/3.34 cnf(i_0_1159, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),X1)))).
% 21.80/3.34 cnf(i_0_261, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))),X4)=hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))).
% 21.80/3.34 cnf(i_0_213, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X2)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_382, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_1536, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),esk147_4(X1,X2,X3,X4)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk148_4(X1,X2,X3,X4)),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X4),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,X4)),X1)))).
% 21.80/3.34 cnf(i_0_1534, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),esk148_4(X2,X3,X4,X1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk147_4(X2,X3,X4,X1)),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X3,X1)),X2)))).
% 21.80/3.34 cnf(i_0_209, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)),X3)))).
% 21.80/3.34 cnf(i_0_1427, plain, (hBOOL(hAPP(fun(int,bool),bool,hAPP(fun(int,bool),fun(fun(int,bool),bool),ord_less(fun(int,bool)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X2)))|~hBOOL(hAPP(fun(nat,bool),bool,hAPP(fun(nat,bool),fun(fun(nat,bool),bool),ord_less(fun(nat,bool)),X1),X2)))).
% 21.80/3.34 cnf(i_0_1429, plain, (hBOOL(hAPP(fun(int,bool),bool,hAPP(fun(int,bool),fun(fun(int,bool),bool),ord_less_eq(fun(int,bool)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X2)))|~hBOOL(hAPP(fun(nat,bool),bool,hAPP(fun(nat,bool),fun(fun(nat,bool),bool),ord_less_eq(fun(nat,bool)),X1),X2)))).
% 21.80/3.34 cnf(i_0_308, plain, (hAPP(nat,nat,suc,hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),nat,finite_card(X1),X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.34 cnf(i_0_642, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X1)))).
% 21.80/3.34 cnf(i_0_121, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_208, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X2)),X3)))).
% 21.80/3.34 cnf(i_0_202, plain, (hBOOL(hAPP(fun(X2,X1),bool,hAPP(fun(X2,X1),fun(fun(X2,X1),bool),ord_less_eq(fun(X2,X1)),X3),X4))|~ord(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,esk8_4(X2,X1,X3,X4))),hAPP(X2,X1,X4,esk8_4(X2,X1,X3,X4)))))).
% 21.80/3.34 cnf(i_0_226, plain, (hBOOL(hAPP(fun(X2,X1),bool,hAPP(fun(X2,X1),fun(fun(X2,X1),bool),ord_less_eq(fun(X2,X1)),X3),X4))|~ord(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,esk13_4(X2,X1,X3,X4))),hAPP(X2,X1,X4,esk13_4(X2,X1,X3,X4)))))).
% 21.80/3.34 cnf(i_0_381, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),nat,finite_card(X1),X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.34 cnf(i_0_1020, plain, (hAPP(X1,X1,combi(X1),X4)=hAPP(X1,X1,combi(X1),X5)|hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5))!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X5)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))|~semiri456707255roduct(X1))).
% 21.80/3.34 cnf(i_0_1025, plain, (hAPP(X1,X1,combi(X1),X3)=hAPP(X1,X1,combi(X1),X5)|hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5))!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X5)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3))|~semiri456707255roduct(X1))).
% 21.80/3.34 cnf(i_0_592, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3))))).
% 21.80/3.34 cnf(i_0_1110, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2))))).
% 21.80/3.34 cnf(i_0_1107, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3))))).
% 21.80/3.34 cnf(i_0_426, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3))))).
% 21.80/3.34 cnf(i_0_1108, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1))))).
% 21.80/3.34 cnf(i_0_1111, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))))).
% 21.80/3.34 cnf(i_0_219, plain, (hBOOL(hAPP(fun(X4,bool),bool,hAPP(fun(X4,bool),fun(fun(X4,bool),bool),ord_less_eq(fun(X4,bool)),hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X5),X2)),hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X5),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_1533, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk147_4(X1,X2,X3,X4)),X3))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk148_4(X1,X2,X3,X4)),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X4),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,X4)),X1)))).
% 21.80/3.34 cnf(i_0_562, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_567, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_560, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3))))).
% 21.80/3.34 cnf(i_0_566, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3))))).
% 21.80/3.34 cnf(i_0_410, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_415, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_408, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3))))).
% 21.80/3.34 cnf(i_0_414, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3))))).
% 21.80/3.34 cnf(i_0_446, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3)))).
% 21.80/3.34 cnf(i_0_443, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1338, plain, (hBOOL(hAPP(int,bool,X3,esk120_3(X2,X3,X4)))|hBOOL(hAPP(int,bool,X2,esk123_3(X2,X3,X4)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),esk122_4(X2,X3,X4,X1)))|hBOOL(hAPP(int,bool,X3,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk120_3(X2,X3,X4)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk121_3(X2,X3,X4)),X4))))|~hBOOL(hAPP(int,bool,X3,X5))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X4)))).
% 21.80/3.34 cnf(i_0_1330, plain, (hBOOL(hAPP(int,bool,X2,esk116_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X1,esk119_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X2,esk118_4(X1,X2,X3,X4)))|hBOOL(hAPP(int,bool,X1,esk118_4(X1,X2,X3,X4)))|hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk116_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk117_3(X1,X2,X3)),X3))))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3)))).
% 21.80/3.34 cnf(i_0_1336, plain, (hBOOL(hAPP(int,bool,X2,esk120_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X1,esk123_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X2,esk122_4(X1,X2,X3,X4)))|hBOOL(hAPP(int,bool,X1,esk122_4(X1,X2,X3,X4)))|hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk120_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk121_3(X1,X2,X3)),X3))))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3)))).
% 21.80/3.34 cnf(i_0_385, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk36_3(X1,X2,X3)),esk37_3(X1,X2,X3))))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk35_3(X1,X2,X3)),bot_bot(fun(X1,bool))))))).
% 21.80/3.34 cnf(i_0_1332, plain, (hBOOL(hAPP(int,bool,X2,esk116_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X1,esk119_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk118_4(X1,X2,X3,X4)),X4))|hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk116_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk117_3(X1,X2,X3)),X3))))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3)))).
% 21.80/3.34 cnf(i_0_73, plain, (hBOOL(hAPP(fun(fun(X1,bool),bool),bool,finite_finite(fun(X1,bool)),hAPP(fun(fun(X1,bool),bool),fun(fun(X1,bool),bool),collect(fun(X1,bool)),hAPP(fun(X1,bool),fun(fun(X1,bool),bool),hAPP(fun(fun(X1,bool),fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(fun(X1,bool),bool)),combc(fun(X1,bool),fun(X1,bool),bool),ord_less_eq(fun(X1,bool))),X2))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_1069, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2))))).
% 21.80/3.34 cnf(i_0_1063, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_1064, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2))))).
% 21.80/3.34 cnf(i_0_1070, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_1071, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2))))).
% 21.80/3.34 cnf(i_0_1065, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_1066, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2))))).
% 21.80/3.34 cnf(i_0_1072, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_304, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),hAPP(X1,fun(X1,bool),fequal(X1),X3))),X2))=bot_bot(fun(X1,bool))|hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.34 cnf(i_0_1243, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))))).
% 21.80/3.34 cnf(i_0_1164, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))))).
% 21.80/3.34 cnf(i_0_1245, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))))).
% 21.80/3.34 cnf(i_0_1167, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2))))).
% 21.80/3.34 cnf(i_0_1133, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4)))).
% 21.80/3.34 cnf(i_0_1132, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1130, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4)))).
% 21.80/3.34 cnf(i_0_1131, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_1035, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)))|~ordered_semiring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))).
% 21.80/3.34 cnf(i_0_1036, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)))|~ordered_semiring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.34 cnf(i_0_196, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk7_5(X2,X1,X3,X4,X5)),X5))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X3),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X4),X5))))).
% 21.80/3.34 cnf(i_0_220, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk10_5(X2,X1,X3,X4,X5)),X5))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X3),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X4),X5))))).
% 21.80/3.34 cnf(i_0_1331, plain, (hBOOL(hAPP(int,bool,X2,esk116_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X1,esk119_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk116_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk117_3(X1,X2,X3)),X3))))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,X2,esk118_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,X1,esk118_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3)))).
% 21.80/3.34 cnf(i_0_1337, plain, (hBOOL(hAPP(int,bool,X2,esk120_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X1,esk123_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk120_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk121_3(X1,X2,X3)),X3))))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,X2,esk122_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,X1,esk122_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3)))).
% 21.80/3.34 cnf(i_0_311, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3))))).
% 21.80/3.34 cnf(i_0_1081, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X3))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_1135, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X3))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_1074, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_1126, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_1127, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~linordered_semiring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_1128, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3))))).
% 21.80/3.34 cnf(i_0_1129, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~linordered_semiring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3))))).
% 21.80/3.34 cnf(i_0_1137, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_1124, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_1125, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3))))).
% 21.80/3.34 cnf(i_0_218, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),esk9_5(X2,X1,X3,X4,X5)),X5))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(fun(X2,bool),fun(fun(X2,bool),bool),ord_less_eq(fun(X2,bool)),X3),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X4),X5))))).
% 21.80/3.34 cnf(i_0_324, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk21_4(X1,X2,X3,X4)),esk22_4(X1,X2,X3,X4)))))).
% 21.80/3.34 cnf(i_0_305, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),hAPP(X1,fun(X1,bool),fequal(X1),X3))),X2))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.34 cnf(i_0_225, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk12_5(X2,X1,X3,X4,X5)),X5))|hBOOL(hAPP(fun(X2,bool),bool,hAPP(fun(X2,bool),fun(fun(X2,bool),bool),ord_less_eq(fun(X2,bool)),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X5)),X4)))).
% 21.80/3.34 cnf(i_0_1289, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X4),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))))|~hBOOL(hAPP(int,bool,X1,X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk108_3(X2,X1,X3)),X3))))).
% 21.80/3.34 cnf(i_0_1315, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X4),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))))|~hBOOL(hAPP(int,bool,X1,X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),esk109_3(X2,X1,X3)),X3))))).
% 21.80/3.34 cnf(i_0_277, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X5)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X5))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_133, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),esk1_5(X1,X2,X3,X4,X5)),X4))|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X5))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(fun(X2,bool),fun(fun(X2,bool),bool),ord_less_eq(fun(X2,bool)),X5),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X4))))).
% 21.80/3.34 cnf(i_0_1414, plain, (hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3))))|~hBOOL(hAPP(int,bool,X1,zero_zero(int)))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,semiring_1_of_nat(int),X2)),hAPP(nat,int,semiring_1_of_nat(int),X3)))))).
% 21.80/3.34 cnf(i_0_376, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X4))),one_one(nat))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.34 cnf(i_0_643, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2))))).
% 21.80/3.34 cnf(i_0_122, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2))))).
% 21.80/3.34 cnf(i_0_76, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X3,bool),nat,finite_card(X3),hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),X4),X2))),hAPP(fun(X1,bool),nat,finite_card(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_1419, plain, (hBOOL(hAPP(int,bool,X3,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,semiring_1_of_nat(int),X2)),hAPP(nat,int,semiring_1_of_nat(int),X1))))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(int,bool,X3,hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)))))).
% 21.80/3.34 cnf(i_0_1141, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3))))|~linordered_ring(X1))).
% 21.80/3.34 cnf(i_0_1415, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|hBOOL(hAPP(int,bool,X3,hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))|~hBOOL(hAPP(int,bool,X3,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2)))))).
% 21.80/3.34 cnf(i_0_463, plain, (hAPP(fun(X1,bool),X1,the(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),X1,hAPP(X1,fun(fun(X1,bool),X1),partial_flat_lub(X1),X3),X2)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))).
% 21.80/3.34 cnf(i_0_1143, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2))))|~linord581940658strict(X1))).
% 21.80/3.34 cnf(i_0_1144, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3))))|~linord581940658strict(X1))).
% 21.80/3.34 cnf(i_0_1115, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X3)),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X3)),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_1119, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X3)),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X3)),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_646, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk48_3(X1,X2,X3)),esk49_3(X1,X2,X3)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,X3,X1)),X2)),hAPP(nat,nat,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)))))).
% 21.80/3.34 cnf(i_0_733, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X2)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.34 cnf(i_0_358, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))=bot_bot(fun(X1,bool))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),X5,X3),hAPP(fun(X1,bool),X1,X4,hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),X1,X4,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite_folding_one(X1),X5),X4)))).
% 21.80/3.34 cnf(i_0_1426, plain, (hBOOL(hAPP(fun(nat,bool),bool,hAPP(fun(nat,bool),fun(fun(nat,bool),bool),ord_less(fun(nat,bool)),X1),X2))|~hBOOL(hAPP(fun(int,bool),bool,hAPP(fun(int,bool),fun(fun(int,bool),bool),ord_less(fun(int,bool)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X2))))).
% 21.80/3.34 cnf(i_0_1428, plain, (hBOOL(hAPP(fun(nat,bool),bool,hAPP(fun(nat,bool),fun(fun(nat,bool),bool),ord_less_eq(fun(nat,bool)),X1),X2))|~hBOOL(hAPP(fun(int,bool),bool,hAPP(fun(int,bool),fun(fun(int,bool),bool),ord_less_eq(fun(int,bool)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X2))))).
% 21.80/3.34 cnf(i_0_1458, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3))),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3))))|~ordere142940540dd_abs(X1))).
% 21.80/3.34 cnf(i_0_1478, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3))),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3))))|~ordere142940540dd_abs(X1))).
% 21.80/3.34 cnf(i_0_360, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))=bot_bot(fun(X1,bool))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),X5,X3),hAPP(fun(X1,bool),X1,X4,hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),X1,X4,X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite_folding_one(X1),X5),X4)))).
% 21.80/3.34 cnf(i_0_312, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))))).
% 21.80/3.34 cnf(i_0_1391, plain, (hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),X1))=hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,int),fun(nat,bool),hAPP(fun(int,bool),fun(fun(nat,int),fun(nat,bool)),combb(int,bool,nat),X1),semiring_1_of_nat(int)))))).
% 21.80/3.34 cnf(i_0_230, plain, (hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,X1),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(com,x_a,mgt,X2)),bot_bot(fun(x_a,bool)))))|~hBOOL(hAPP(com,bool,wt,X2))|~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,X1),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,esk16_2(X1,X2))),bot_bot(fun(x_a,bool))))))).
% 21.80/3.34 cnf(i_0_1341, plain, (hBOOL(hAPP(int,bool,X2,esk123_3(X2,X3,X4)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),esk122_4(X2,X3,X4,X1)))|~hBOOL(hAPP(int,bool,X3,X5))|~hBOOL(hAPP(int,bool,X3,esk120_3(X2,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X4))|~hBOOL(hAPP(int,bool,X3,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk120_3(X2,X3,X4)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk121_3(X2,X3,X4)),X4)))))).
% 21.80/3.34 cnf(i_0_1333, plain, (hBOOL(hAPP(int,bool,X1,esk119_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X2,esk118_4(X1,X2,X3,X4)))|hBOOL(hAPP(int,bool,X1,esk118_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,X2,esk116_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk116_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk117_3(X1,X2,X3)),X3)))))).
% 21.80/3.34 cnf(i_0_1339, plain, (hBOOL(hAPP(int,bool,X1,esk123_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X2,esk122_4(X1,X2,X3,X4)))|hBOOL(hAPP(int,bool,X1,esk122_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,X2,esk120_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk120_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk121_3(X1,X2,X3)),X3)))))).
% 21.80/3.34 cnf(i_0_1476, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3))),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X3),X2))))|~ordere142940540dd_abs(X1))).
% 21.80/3.34 cnf(i_0_1475, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3))),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3))))|~ordere142940540dd_abs(X1))).
% 21.80/3.34 cnf(i_0_1410, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(nat,int,semiring_1_of_nat(int),X3)),X1)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(nat,int,semiring_1_of_nat(int),X3)),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))).
% 21.80/3.34 cnf(i_0_1239, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2)),X4))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),X2)),X4))).
% 21.80/3.34 cnf(i_0_1335, plain, (hBOOL(hAPP(int,bool,X1,esk119_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk118_4(X1,X2,X3,X4)),X4))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,X2,esk116_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk116_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk117_3(X1,X2,X3)),X3)))))).
% 21.80/3.34 cnf(i_0_330, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),esk24_3(X1,X2,X3)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk23_3(X1,X2,X3)),bot_bot(fun(X1,bool)))))))).
% 21.80/3.34 cnf(i_0_955, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),X5))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),X3)),X5)|~semiring(X1))).
% 21.80/3.34 cnf(i_0_1334, plain, (hBOOL(hAPP(int,bool,X1,esk119_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,X2,esk116_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X2,esk118_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,X1,esk118_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk116_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk117_3(X1,X2,X3)),X3)))))).
% 21.80/3.34 cnf(i_0_1340, plain, (hBOOL(hAPP(int,bool,X1,esk123_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,X2,esk120_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X2,esk122_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,X1,esk122_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk120_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk121_3(X1,X2,X3)),X3)))))).
% 21.80/3.34 cnf(i_0_651, plain, (hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),hAPP(nat,X3,X4,X1)),hAPP(nat,X3,X4,X2)))|~order(X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),hAPP(nat,X3,X4,esk52_4(X3,X1,X2,X4))),hAPP(nat,X3,X4,hAPP(nat,nat,suc,esk52_4(X3,X1,X2,X4))))))).
% 21.80/3.34 cnf(i_0_653, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,X2,X3)),hAPP(nat,X1,X2,X4)))|~order(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,X2,esk53_4(X1,X3,X4,X2))),hAPP(nat,X1,X2,hAPP(nat,nat,suc,esk53_4(X1,X3,X4,X2))))))).
% 21.80/3.34 cnf(i_0_134, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(nat,X1,X2,X3)),hAPP(nat,X1,X2,X4)))|~order(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(nat,X1,X2,esk2_4(X1,X3,X4,X2))),hAPP(nat,X1,X2,hAPP(nat,nat,suc,esk2_4(X1,X3,X4,X2))))))).
% 21.80/3.34 cnf(i_0_1095, plain, (hAPP(X1,X1,combi(X1),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X5),X2)),X3)),X6)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3)),X6)|~ring(X1))).
% 21.80/3.34 cnf(i_0_1097, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X5)),X3)),X4)=hAPP(X1,X1,combi(X1),X6)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3)),X6)|~ring(X1))).
% 21.80/3.34 cnf(i_0_1255, plain, (X3=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X4),X1)),X2)),X5)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),X3)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X4),X2)),X5)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X4)))).
% 21.80/3.34 cnf(i_0_1250, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X4)),X2)),X3)=X5|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),X3)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X4),X2)),X5)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),X1)))).
% 21.80/3.34 cnf(i_0_652, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X4))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,X2,X3)),hAPP(nat,X1,X2,X4)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,X2,esk52_4(X1,X3,X4,X2))),hAPP(nat,X1,X2,hAPP(nat,nat,suc,esk52_4(X1,X3,X4,X2))))))).
% 21.80/3.34 cnf(i_0_645, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,X1,X2)),X3)),hAPP(nat,nat,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3))))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,X1,esk48_3(X2,X3,X1))),hAPP(nat,nat,X1,esk49_3(X2,X3,X1)))))).
% 21.80/3.34 cnf(i_0_323, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X3)),hAPP(fun(X1,bool),nat,finite_card(X1),X2))),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X2))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_1168, plain, (hAPP(fun(X2,bool),X1,hAPP(X1,fun(fun(X2,bool),X1),hAPP(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1))),finite_fold_image(X1,X2),times_times(X1)),X5),X6),hAPP(fun(X2,bool),fun(X2,bool),hAPP(X2,fun(fun(X2,bool),fun(X2,bool)),insert(X2),X4),X3))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X2,X1,X5,X4)),hAPP(fun(X2,bool),X1,hAPP(X1,fun(fun(X2,bool),X1),hAPP(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1))),finite_fold_image(X1,X2),times_times(X1)),X5),X6),X3))|hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X4),X3))|~ab_semigroup_mult(X1)|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X3)))).
% 21.80/3.34 cnf(i_0_1264, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),X3))))).
% 21.80/3.34 cnf(i_0_1739, negated_conjecture, (~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))))).
% 21.80/3.34 cnf(i_0_1477, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X4))),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,abs_abs(X1),X4)),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,abs_abs(X1),X2)),X3)))).
% 21.80/3.34 cnf(i_0_1094, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)),X6)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5)),X2)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X3),X4)),X5)),X6)|~ring(X1))).
% 21.80/3.34 cnf(i_0_1096, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),X5)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)),X6)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),X4)),X5)!=hAPP(X1,X1,combi(X1),X6)|~ring(X1))).
% 21.80/3.34 cnf(i_0_1210, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),X1)),X1)),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int))))).
% 21.80/3.34 cnf(i_0_1254, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X4)),X5)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X4)),X1)|X1!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)),X4)),X5)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)))).
% 21.80/3.34 cnf(i_0_1249, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),X4)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)),X5)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3)),X4)!=X5|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))).
% 21.80/3.34 cnf(i_0_734, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X2)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X3))))).
% 21.80/3.34 cnf(i_0_1116, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X1)),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X1)),X3))))).
% 21.80/3.34 cnf(i_0_1120, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X1)),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X1)),X3))))).
% 21.80/3.34 cnf(i_0_302, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X3))),X2))=bot_bot(fun(X1,bool))|hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.34 cnf(i_0_303, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X3))),X2))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.34 cnf(i_0_1145, plain, (hAPP(X1,X1,combi(X1),X3)!=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3)))))).
% 21.80/3.34 cnf(i_0_930, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),X2)),X2)),zero_zero(X1)))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1))))).
% 21.80/3.34 cnf(i_0_1286, plain, (hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),X1))=hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),X2))|hBOOL(hAPP(int,bool,X2,esk107_2(X2,X1)))|hBOOL(hAPP(int,bool,X1,esk107_2(X2,X1))))).
% 21.80/3.34 cnf(i_0_270, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_719, plain, (hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X5)=hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X4),X6)|hAPP(X1,X2,X3,esk80_6(X2,X1,X3,X4,X5,X6))!=hAPP(X1,X2,X4,esk80_6(X2,X1,X3,X4,X5,X6))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X5)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X6))).
% 21.80/3.34 cnf(i_0_1288, plain, (hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),X1))=hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),X2))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk107_2(X1,X2))))).
% 21.80/3.34 cnf(i_0_1287, plain, (hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),X1))=hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),X2))|~hBOOL(hAPP(int,bool,X2,esk107_2(X2,X1)))|~hBOOL(hAPP(int,bool,X1,esk107_2(X2,X1))))).
% 21.80/3.34 cnf(i_0_371, plain, (hAPP(fun(X1,bool),X2,X6,bot_bot(fun(X1,bool)))=hAPP(X2,X2,combi(X2),X4)|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite1357897459simple(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.34 cnf(i_0_263, plain, (hAPP(X2,X2,hAPP(X2,fun(X2,X2),X3,X7),X7)=hAPP(X2,X2,combi(X2),X7)|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite908156982e_idem(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.34 cnf(i_0_681, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4))))).
% 21.80/3.34 cnf(i_0_164, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fdisj),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X2))),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X3)))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))).
% 21.80/3.34 cnf(i_0_199, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fdisj),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X2))),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X3)))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))).
% 21.80/3.34 cnf(i_0_224, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X5)),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X2,X1,X3,esk12_5(X1,X2,X3,X4,X5))),X4)))).
% 21.80/3.34 cnf(i_0_1138, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3))),zero_zero(X1)))|hAPP(X1,X1,combi(X1),X3)!=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~linord581940658strict(X1))).
% 21.80/3.34 cnf(i_0_237, plain, (hAPP(fun(X1,bool),X2,X6,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X8),X7))=hAPP(X2,X2,hAPP(X2,fun(X2,X2),X3,hAPP(X1,X2,X5,X8)),hAPP(fun(X1,bool),X2,X6,X7))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X7))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite908156982e_idem(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.34 cnf(i_0_1474, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3)))),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3))))|~ordere142940540dd_abs(X1))).
% 21.80/3.34 cnf(i_0_319, plain, (hAPP(X2,X2,hAPP(X2,fun(X2,X2),X3,hAPP(X1,X2,X5,X8)),hAPP(fun(X1,bool),X2,X6,X7))=hAPP(fun(X1,bool),X2,X6,X7)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X7))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X8),X7))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite908156982e_idem(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.34 cnf(i_0_236, plain, (hAPP(X2,X2,hAPP(X2,fun(X2,X2),X3,hAPP(fun(X1,bool),X2,X6,X8)),hAPP(fun(X1,bool),X2,X6,X7))=hAPP(fun(X1,bool),X2,X6,X7)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X7))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X8),X7))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite908156982e_idem(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.34 cnf(i_0_375, plain, (hAPP(fun(X1,bool),X2,X6,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X8),X7))=hAPP(X2,X2,hAPP(X2,fun(X2,X2),X3,hAPP(X1,X2,X5,X8)),hAPP(fun(X1,bool),X2,X6,X7))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X8),X7))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X7))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite1357897459simple(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.34 cnf(i_0_1267, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X5))|hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),X3)!=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X4),X5)),X6)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X6),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X4),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X4),X5)),X6))))).
% 21.80/3.34 cnf(i_0_929, plain, (hAPP(fun(X1,bool),X2,X6,X7)=hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),X3),X5),X4),X7)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X7))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite1357897459simple(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.34 cnf(i_0_720, plain, (hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X5)=hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X4),X6)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk80_6(X2,X1,X3,X4,X5,X6)),X6))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X5)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X6))).
% 21.80/3.34 cnf(i_0_465, plain, (hBOOL(hAPP(fun(X1,fun(fun(X1,bool),fun(X1,bool))),bool,finite_comp_fun_idem(X1,fun(X1,bool)),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(fun(X1,bool),fun(X1,bool))),hAPP(fun(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool))),fun(fun(X1,fun(X1,bool)),fun(X1,fun(fun(X1,bool),fun(X1,bool)))),combb(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),X1),hAPP(fun(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool))),fun(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool))),combc(fun(X1,bool),fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)))),hAPP(fun(X1,bool),fun(X1,fun(X1,bool)),hAPP(fun(X1,fun(fun(X1,bool),fun(X1,bool))),fun(fun(X1,bool),fun(X1,fun(X1,bool))),combc(X1,fun(X1,bool),fun(X1,bool)),insert(X1)),bot_bot(fun(X1,bool)))))))).
% 21.80/3.34 cnf(i_0_1211, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),X1)),X1)),zero_zero(int))))).
% 21.80/3.34 cnf(i_0_266, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))),X4)))).
% 21.80/3.34 cnf(i_0_264, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))),X4)))).
% 21.80/3.34 cnf(i_0_265, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))),X3)))).
% 21.80/3.34 cnf(i_0_676, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))),X4)))).
% 21.80/3.34 cnf(i_0_675, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))),X3)))).
% 21.80/3.34 cnf(i_0_1274, plain, (hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X3),X4),X6)=hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X5),X4),X6)|hAPP(X1,X2,X3,esk104_6(X1,X2,X4,X3,X5,X6))!=hAPP(X1,X2,X5,esk104_6(X1,X2,X4,X3,X5,X6))|~ab_semigroup_mult(X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X6)))).
% 21.80/3.34 cnf(i_0_671, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))),X4)))).
% 21.80/3.34 cnf(i_0_1265, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),X3)),zero_zero(int))))).
% 21.80/3.34 cnf(i_0_933, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X6),X4))),X3))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X5),X6)!=one_one(X1)|~linord626643107strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X5)))).
% 21.80/3.34 cnf(i_0_1170, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X6),X4))),X3))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X5),X6)!=one_one(X1)|~linord1278240602ring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X5)))).
% 21.80/3.34 cnf(i_0_670, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))),X3)))).
% 21.80/3.34 cnf(i_0_931, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~linordered_idom(X1)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),X2)),X2)),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_310, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))))),hAPP(fun(X1,bool),nat,finite_card(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.34 cnf(i_0_1253, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),X4)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)),X5))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X4),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)),X3)),X5))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_460, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X5)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),X1,X3,hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,X1),fun(fun(X1,bool),fun(X1,bool)),image(X1,X1),X4),X5))=hAPP(X1,X1,X4,hAPP(fun(X1,bool),X1,X3,X5))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,hAPP(X1,X1,X4,esk39_5(X1,X5,X4,X2,X3))),hAPP(X1,X1,X4,esk40_5(X1,X5,X4,X2,X3)))!=hAPP(X1,X1,X4,hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,esk39_5(X1,X5,X4,X2,X3)),esk40_5(X1,X5,X4,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X5))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite2073411215e_idem(X1),X2),X3)))).
% 21.80/3.34 cnf(i_0_362, plain, (hAPP(X2,X2,hAPP(X2,fun(X2,X2),X3,hAPP(X1,X2,X5,X8)),hAPP(fun(X1,bool),X2,X6,hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X7),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X8),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),X2,X6,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X8),X7))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X7))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite1357897459simple(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.34 cnf(i_0_363, plain, (hAPP(X2,X2,hAPP(X2,fun(X2,X2),X3,hAPP(X1,X2,X5,X8)),hAPP(fun(X1,bool),X2,X6,hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X7),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X8),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),X2,X6,X7)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X7))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X8),X7))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite1357897459simple(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.34 cnf(i_0_481, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))))),hAPP(fun(X1,bool),nat,finite_card(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.34 cnf(i_0_357, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X2))),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(bool,bool),fun(fun(X1,bool),fun(X1,bool)),combb(bool,bool,X1),fNot),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X3))))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3))).
% 21.80/3.34 cnf(i_0_342, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),hAPP(fun(nat,nat),fun(nat,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(nat,nat),fun(nat,fun(nat,bool))),combb(nat,fun(nat,bool),nat),ord_less_eq(nat)),X2)),X1))))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk29_2(X1,X2)),hAPP(nat,nat,X2,esk29_2(X1,X2)))))).
% 21.80/3.34 cnf(i_0_83, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),X3)),X2))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2))))).
% 21.80/3.34 cnf(i_0_84, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),X2)),X3))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2))))).
% 21.80/3.34 cnf(i_0_1275, plain, (hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X4),X3),X6)=hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X5),X3),X6)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk104_6(X1,X2,X3,X4,X5,X6)),X6))|~ab_semigroup_mult(X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X6)))).
% 21.80/3.34 cnf(i_0_101, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fdisj),X2)),X3))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2))))).
% 21.80/3.34 cnf(i_0_1142, plain, (~linordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3))),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1139, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2))),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1140, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3))),zero_zero(X1))))).
% 21.80/3.34 cnf(i_0_1258, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X5),X2))|hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),X3)!=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X4),X5)),X6)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X4),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X4),X5)),X6)),zero_zero(int))))).
% 21.80/3.34 cnf(i_0_165, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fimplies),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(bool,bool),fun(fun(X1,bool),fun(X1,bool)),combb(bool,bool,X1),fNot),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X2)))),X3))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3)))).
% 21.80/3.34 cnf(i_0_313, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X4)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X5))),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),hAPP(fun(X2,bool),fun(X2,bool),hAPP(fun(X2,bool),fun(fun(X2,bool),fun(X2,bool)),minus_minus(fun(X2,bool)),X4),X5)))))).
% 21.80/3.34 cnf(i_0_378, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X4)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(fun(X1,bool),X1,X3,X4)),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite_folding_one(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,esk32_4(X1,X4,X2,X3)),esk33_4(X1,X4,X2,X3))),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk32_4(X1,X4,X2,X3)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk33_4(X1,X4,X2,X3)),bot_bot(fun(X1,bool)))))))).
% 21.80/3.34 cnf(i_0_702, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X4),hAPP(X1,X2,X5,X3)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk66_6(X2,X1,X3,X4,X5,X6)),esk67_6(X2,X1,X3,X4,X5,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X6),X3))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),X4),hAPP(X1,X2,X5,X6))))).
% 21.80/3.34 cnf(i_0_704, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X4),hAPP(X1,X2,X5,X3)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),esk68_6(X2,X1,X3,X4,X5,X6)),esk69_6(X2,X1,X3,X4,X5,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X6),X3))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X4),hAPP(X1,X2,X5,X6))))).
% 21.80/3.34 cnf(i_0_711, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X3),hAPP(X1,X2,X4,X6)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk73_6(X2,X1,X3,X4,X5,X6)),esk72_6(X2,X1,X3,X4,X5,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X5),X6))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),X3),hAPP(X1,X2,X4,X5))))).
% 21.80/3.34 cnf(i_0_713, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X3),hAPP(X1,X2,X4,X6)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),esk75_6(X2,X1,X3,X4,X5,X6)),esk74_6(X2,X1,X3,X4,X5,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X5),X6))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X3),hAPP(X1,X2,X4,X5))))).
% 21.80/3.34 cnf(i_0_619, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),X1)),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),X2))))))).
% 21.80/3.34 cnf(i_0_1259, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X4),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X5))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X5),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),X3)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X4)),X5))))).
% 21.80/3.34 cnf(i_0_1266, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X5),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),X3)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X4)),X5))))).
% 21.80/3.34 cnf(i_0_698, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),hAPP(X1,X2,X4,X3)),X6))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk63_6(X1,X2,X3,X4,X5,X6)),esk62_6(X1,X2,X3,X4,X5,X6)))|~ord(X1)|~order(X2)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X5))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),hAPP(X1,X2,X4,X5)),X6)))).
% 21.80/3.34 cnf(i_0_700, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),hAPP(X1,X2,X4,X3)),X6))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),esk65_6(X1,X2,X3,X4,X5,X6)),esk64_6(X1,X2,X3,X4,X5,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X5))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),hAPP(X1,X2,X4,X5)),X6)))).
% 21.80/3.34 cnf(i_0_717, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),hAPP(X1,X2,X3,X5)),X4))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk78_6(X1,X2,X3,X4,X5,X6)),esk79_6(X1,X2,X3,X4,X5,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X5),X6))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),hAPP(X1,X2,X3,X6)),X4)))).
% 21.80/3.34 cnf(i_0_715, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),hAPP(X1,X2,X3,X5)),X4))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),esk76_6(X1,X2,X3,X4,X5,X6)),esk77_6(X1,X2,X3,X4,X5,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X5),X6))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),hAPP(X1,X2,X3,X6)),X4)))).
% 21.80/3.34 cnf(i_0_329, plain, (hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,X2),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,X1)),bot_bot(fun(x_a,bool)))))|~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,X1)),X2)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(com,x_a,mgt,hAPP(option(com),com,the_1(com),hAPP(pname,option(com),body,X1)))),bot_bot(fun(x_a,bool))))))).
% 21.80/3.34 cnf(i_0_1248, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)),X4)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),X5))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)),X3)),X4)),X5)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.34 cnf(i_0_102, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fdisj),X3)),X2)))))).
% 21.80/3.34 cnf(i_0_103, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fdisj),X2)),X3)))))).
% 21.80/3.34 cnf(i_0_466, plain, (hAPP(fun(X2,bool),X2,the(X2),hAPP(fun(X2,bool),fun(X2,bool),hAPP(fun(X2,fun(bool,bool)),fun(fun(X2,bool),fun(X2,bool)),combs(X2,bool,bool),hAPP(fun(X2,bool),fun(X2,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X2,bool),fun(X2,fun(bool,bool))),combb(bool,fun(bool,bool),X2),fconj),hAPP(fun(X2,bool),fun(X2,bool),hAPP(fun(bool,bool),fun(fun(X2,bool),fun(X2,bool)),combb(bool,bool,X2),hAPP(bool,fun(bool,bool),fimplies,X1)),hAPP(X2,fun(X2,bool),hAPP(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),combc(X2,X2,bool),fequal(X2)),X4)))),hAPP(fun(X2,bool),fun(X2,bool),hAPP(fun(bool,bool),fun(fun(X2,bool),fun(X2,bool)),combb(bool,bool,X2),hAPP(bool,fun(bool,bool),fimplies,hAPP(bool,bool,fNot,X1))),hAPP(X2,fun(X2,bool),hAPP(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),combc(X2,X2,bool),fequal(X2)),X3))))=hAPP(X2,X2,combi(X2),X3)|hBOOL(X1))).
% 21.80/3.34 cnf(i_0_467, plain, (hAPP(fun(X2,bool),X2,the(X2),hAPP(fun(X2,bool),fun(X2,bool),hAPP(fun(X2,fun(bool,bool)),fun(fun(X2,bool),fun(X2,bool)),combs(X2,bool,bool),hAPP(fun(X2,bool),fun(X2,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X2,bool),fun(X2,fun(bool,bool))),combb(bool,fun(bool,bool),X2),fconj),hAPP(fun(X2,bool),fun(X2,bool),hAPP(fun(bool,bool),fun(fun(X2,bool),fun(X2,bool)),combb(bool,bool,X2),hAPP(bool,fun(bool,bool),fimplies,X1)),hAPP(X2,fun(X2,bool),hAPP(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),combc(X2,X2,bool),fequal(X2)),X3)))),hAPP(fun(X2,bool),fun(X2,bool),hAPP(fun(bool,bool),fun(fun(X2,bool),fun(X2,bool)),combb(bool,bool,X2),hAPP(bool,fun(bool,bool),fimplies,hAPP(bool,bool,fNot,X1))),hAPP(X2,fun(X2,bool),hAPP(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),combc(X2,X2,bool),fequal(X2)),X4))))=hAPP(X2,X2,combi(X2),X3)|~hBOOL(X1))).
% 21.80/3.34 cnf(i_0_1169, plain, (hAPP(fun(X2,bool),X1,hAPP(X1,fun(fun(X2,bool),X1),hAPP(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1))),finite_fold_image(X1,X2),times_times(X1)),hAPP(fun(X2,X1),fun(X2,X1),hAPP(fun(X2,fun(X1,X1)),fun(fun(X2,X1),fun(X2,X1)),combs(X2,X1,X1),hAPP(fun(X2,X1),fun(X2,fun(X1,X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X2,fun(X1,X1))),combb(X1,fun(X1,X1),X2),times_times(X1)),X4)),X5)),one_one(X1)),X3)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(fun(X2,bool),X1,hAPP(X1,fun(fun(X2,bool),X1),hAPP(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1))),finite_fold_image(X1,X2),times_times(X1)),X4),one_one(X1)),X3)),hAPP(fun(X2,bool),X1,hAPP(X1,fun(fun(X2,bool),X1),hAPP(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1))),finite_fold_image(X1,X2),times_times(X1)),X5),one_one(X1)),X3))|~comm_monoid_mult(X1)|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X3)))).
% 21.80/3.34 cnf(i_0_379, plain, (hAPP(fun(X1,bool),X2,X7,X4)=hAPP(X2,X2,combi(X2),X6)|hAPP(X1,X2,X3,esk34_7(X1,X2,X4,X5,X6,X3,X7))!=hAPP(X2,X2,combi(X2),X6)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite1357897459simple(X2,X1),X5),X6),X3),X7)))).
% 21.80/3.34 cnf(i_0_1459, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X5)))),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X4))),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X3),X5)))))|~ordere142940540dd_abs(X1))).
% 21.80/3.34 cnf(i_0_1180, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X4),X1)),X2)),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X4),X2)),X5))))).
% 21.80/3.34 cnf(i_0_1252, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X4),X1)),X2)),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X4),X2)),X5))))).
% 21.80/3.34 cnf(i_0_1153, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X5),X2)),X3)),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3)),X6))))).
% 21.80/3.34 cnf(i_0_1149, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X5),X2)),X3)),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3)),X6))))).
% 21.80/3.34 cnf(i_0_873, plain, (hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),member(nat)),X1))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),hAPP(nat,nat,suc,X2)))))!=zero_zero(nat)|~hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_1179, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X4)),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X4)),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)),X4)),X5))))).
% 21.80/3.34 cnf(i_0_1251, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X4)),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X4)),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)),X4)),X5))))).
% 21.80/3.34 cnf(i_0_1152, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5)),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X3),X4)),X5)),X6))))).
% 21.80/3.34 cnf(i_0_1148, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5)),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X3),X4)),X5)),X6))))).
% 21.80/3.34 cnf(i_0_1257, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X4)),X2)),X3)),X5))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X4),X2)),X5))))).
% 21.80/3.34 cnf(i_0_1247, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X4)),X2)),X3)),X5))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X4),X2)),X5))))).
% 21.80/3.34 cnf(i_0_1155, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X5)),X3)),X4)),X6))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3)),X6))))).
% 21.80/3.34 cnf(i_0_1151, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X5)),X3)),X4)),X6))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3)),X6))))).
% 21.80/3.34 cnf(i_0_701, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X5),hAPP(X2,X1,X3,X4)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X6),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X5),hAPP(X2,X1,X3,X6)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,esk66_6(X1,X2,X4,X5,X3,X6))),hAPP(X2,X1,X3,esk67_6(X1,X2,X4,X5,X3,X6)))))).
% 21.80/3.34 cnf(i_0_703, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X5),hAPP(X2,X1,X3,X4)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),X6),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X5),hAPP(X2,X1,X3,X6)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,esk68_6(X1,X2,X4,X5,X3,X6))),hAPP(X2,X1,X3,esk69_6(X1,X2,X4,X5,X3,X6)))))).
% 21.80/3.34 cnf(i_0_710, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),hAPP(X2,X1,X3,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X5),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),hAPP(X2,X1,X3,X5)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,esk73_6(X1,X2,X4,X3,X5,X6))),hAPP(X2,X1,X3,esk72_6(X1,X2,X4,X3,X5,X6)))))).
% 21.80/3.34 cnf(i_0_712, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),hAPP(X2,X1,X3,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),X5),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),hAPP(X2,X1,X3,X5)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,esk75_6(X1,X2,X4,X3,X5,X6))),hAPP(X2,X1,X3,esk74_6(X1,X2,X4,X3,X5,X6)))))).
% 21.80/3.34 cnf(i_0_716, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,X5)),X4))|~order(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X5),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,X6)),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,esk78_6(X2,X1,X3,X4,X5,X6))),hAPP(X2,X1,X3,esk79_6(X2,X1,X3,X4,X5,X6)))))).
% 21.80/3.34 cnf(i_0_714, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,X5)),X4))|~order(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),X5),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,X6)),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,esk76_6(X2,X1,X3,X4,X5,X6))),hAPP(X2,X1,X3,esk77_6(X2,X1,X3,X4,X5,X6)))))).
% 21.80/3.34 cnf(i_0_697, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,X4)),X6))|~ord(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,X5)),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,esk63_6(X2,X1,X4,X3,X5,X6))),hAPP(X2,X1,X3,esk62_6(X2,X1,X4,X3,X5,X6)))))).
% 21.80/3.34 cnf(i_0_699, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,X4)),X6))|~order(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,X5)),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,esk65_6(X2,X1,X4,X3,X5,X6))),hAPP(X2,X1,X3,esk64_6(X2,X1,X4,X3,X5,X6)))))).
% 21.80/3.34 cnf(i_0_1256, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),X4)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3)),X4)),X5)))).
% 21.80/3.34 cnf(i_0_1246, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),X4)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3)),X4)),X5)))).
% 21.80/3.34 cnf(i_0_1154, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),X5)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),X4)),X5)),X6)))).
% 21.80/3.34 cnf(i_0_1150, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),X5)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),X4)),X5)),X6)))).
% 21.80/3.34 cnf(i_0_1520, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X3),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X3),X2))),one_one(int))),X1))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.34 cnf(i_0_1521, plain, (hAPP(nat,int,X1,esk144_3(X2,X1,X3))=X2|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,zero_zero(nat))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk143_3(X2,X1,X3)),one_one(nat)))),hAPP(nat,int,X1,esk143_3(X2,X1,X3))))),one_one(int))))).
% 21.80/3.34 cnf(i_0_1525, plain, (hAPP(nat,int,X1,esk146_3(X2,X1,X3))=X2|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,zero_zero(nat))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk145_3(X2,X1,X3)),one_one(nat)))),hAPP(nat,int,X1,esk145_3(X2,X1,X3))))),one_one(int))))).
% 21.80/3.34 cnf(i_0_480, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool)))))),hAPP(fun(X1,bool),nat,finite_card(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.34 cnf(i_0_1522, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk144_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,zero_zero(nat))),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,X2,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk143_3(X1,X2,X3)),one_one(nat)))),hAPP(nat,int,X2,esk143_3(X1,X2,X3))))),one_one(int))))).
% 21.80/3.34 cnf(i_0_1526, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk146_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,zero_zero(nat))),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,X2,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk145_3(X1,X2,X3)),one_one(nat)))),hAPP(nat,int,X2,esk145_3(X1,X2,X3))))),one_one(int))))).
% 21.80/3.34 cnf(i_0_380, plain, (hAPP(fun(X1,bool),X2,X7,X3)=hAPP(X2,X2,combi(X2),X5)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk34_7(X1,X2,X3,X4,X5,X6,X7)),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite1357897459simple(X2,X1),X4),X5),X6),X7)))).
% 21.80/3.34 cnf(i_0_1529, plain, (hAPP(nat,int,X1,esk148_4(X2,X1,X3,X4))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X4),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,X4)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk147_4(X2,X1,X3,X4)),one_one(nat)))),hAPP(nat,int,X1,esk147_4(X2,X1,X3,X4))))),one_one(int))))).
% 21.80/3.34 cnf(i_0_1531, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),esk148_4(X2,X3,X4,X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X3,X1)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk147_4(X2,X3,X4,X1)),one_one(nat)))),hAPP(nat,int,X3,esk147_4(X2,X3,X4,X1))))),one_one(int))))).
% 21.80/3.34 cnf(i_0_1530, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk148_4(X1,X2,X3,X4)),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X4),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,X4)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,X2,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk147_4(X1,X2,X3,X4)),one_one(nat)))),hAPP(nat,int,X2,esk147_4(X1,X2,X3,X4))))),one_one(int))))).
% 21.80/3.34 cnf(i_0_874, plain, (hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),hAPP(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool)),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool))),combb(nat,fun(fun(nat,bool),bool),nat),member(nat)),suc)),X1))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),X2))))=hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),member(nat)),X1))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),hAPP(nat,nat,suc,X2)))))|hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_135, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),X4),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X2))),hAPP(X3,fun(X1,bool),hAPP(fun(X1,fun(X3,bool)),fun(X3,fun(X1,bool)),combc(X1,X3,bool),hAPP(fun(X1,X3),fun(X1,fun(X3,bool)),hAPP(fun(X3,fun(X3,bool)),fun(fun(X1,X3),fun(X1,fun(X3,bool))),combb(X3,fun(X3,bool),X1),fequal(X3)),X4)),hAPP(X1,X3,X4,esk3_4(X3,X1,X4,X2))))))))).
% 21.80/3.34 cnf(i_0_1457, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),X3))),one_one(int))),X1))),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.34 cnf(i_0_1450, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,esk136_7(X1,X2,X3,X4,X5,X6,X7)),esk138_7(X1,X2,X3,X4,X5,X6,X7)))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk140_7(X1,X2,X3,X4,X5,X6,X7)),X5))|hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X3),X7),X5)),hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X4),X7),X5)))|~comm_monoid_mult(X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X5))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,X7),X7)))).
% 21.80/3.34 cnf(i_0_1448, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,esk137_7(X1,X2,X3,X4,X5,X6,X7)),esk139_7(X1,X2,X3,X4,X5,X6,X7)))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk140_7(X1,X2,X3,X4,X5,X6,X7)),X5))|hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X3),X7),X5)),hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X4),X7),X5)))|~comm_monoid_mult(X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X5))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,X7),X7)))).
% 21.80/3.34 cnf(i_0_872, plain, (hAPP(nat,nat,suc,hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),hAPP(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool)),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool))),combb(nat,fun(fun(nat,bool),bool),nat),member(nat)),suc)),X1))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),X2)))))=hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),member(nat)),X1))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),hAPP(nat,nat,suc,X2)))))|~hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),zero_zero(nat)),X1)))).
% 21.80/3.34 cnf(i_0_1449, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,esk136_7(X3,X1,X4,X5,X6,X2,X7)),esk138_7(X3,X1,X4,X5,X6,X2,X7)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,hAPP(fun(X3,bool),X1,hAPP(X1,fun(fun(X3,bool),X1),hAPP(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1))),finite_fold_image(X1,X3),times_times(X1)),X4),X7),X6)),hAPP(fun(X3,bool),X1,hAPP(X1,fun(fun(X3,bool),X1),hAPP(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1))),finite_fold_image(X1,X3),times_times(X1)),X5),X7),X6)))|~comm_monoid_mult(X1)|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,X7),X7))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,hAPP(X3,X1,X4,esk140_7(X3,X1,X4,X5,X6,X2,X7))),hAPP(X3,X1,X5,esk140_7(X3,X1,X4,X5,X6,X2,X7)))))).
% 21.80/3.34 cnf(i_0_1447, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,esk137_7(X3,X1,X4,X5,X6,X2,X7)),esk139_7(X3,X1,X4,X5,X6,X2,X7)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,hAPP(fun(X3,bool),X1,hAPP(X1,fun(fun(X3,bool),X1),hAPP(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1))),finite_fold_image(X1,X3),times_times(X1)),X4),X7),X6)),hAPP(fun(X3,bool),X1,hAPP(X1,fun(fun(X3,bool),X1),hAPP(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1))),finite_fold_image(X1,X3),times_times(X1)),X5),X7),X6)))|~comm_monoid_mult(X1)|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,X7),X7))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,hAPP(X3,X1,X4,esk140_7(X3,X1,X4,X5,X6,X2,X7))),hAPP(X3,X1,X5,esk140_7(X3,X1,X4,X5,X6,X2,X7)))))).
% 21.80/3.34 cnf(i_0_1446, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk140_7(X1,X2,X3,X4,X5,X6,X7)),X5))|hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X3),X7),X5)),hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X4),X7),X5)))|~comm_monoid_mult(X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X5))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,X7),X7))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,hAPP(X2,X2,hAPP(X2,fun(X2,X2),times_times(X2),esk136_7(X1,X2,X3,X4,X5,X6,X7)),esk137_7(X1,X2,X3,X4,X5,X6,X7))),hAPP(X2,X2,hAPP(X2,fun(X2,X2),times_times(X2),esk138_7(X1,X2,X3,X4,X5,X6,X7)),esk139_7(X1,X2,X3,X4,X5,X6,X7)))))).
% 21.80/3.34 cnf(i_0_1445, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,hAPP(fun(X3,bool),X1,hAPP(X1,fun(fun(X3,bool),X1),hAPP(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1))),finite_fold_image(X1,X3),times_times(X1)),X4),X7),X6)),hAPP(fun(X3,bool),X1,hAPP(X1,fun(fun(X3,bool),X1),hAPP(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1))),finite_fold_image(X1,X3),times_times(X1)),X5),X7),X6)))|~comm_monoid_mult(X1)|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,X7),X7))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,hAPP(X3,X1,X4,esk140_7(X3,X1,X4,X5,X6,X2,X7))),hAPP(X3,X1,X5,esk140_7(X3,X1,X4,X5,X6,X2,X7))))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),esk136_7(X3,X1,X4,X5,X6,X2,X7)),esk137_7(X3,X1,X4,X5,X6,X2,X7))),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),esk138_7(X3,X1,X4,X5,X6,X2,X7)),esk139_7(X3,X1,X4,X5,X6,X2,X7)))))).
% 21.80/3.34 cnf(i_0_1454, plain, (hAPP(fun(X1,bool),X3,hAPP(X3,fun(fun(X1,bool),X3),hAPP(fun(X1,X3),fun(X3,fun(fun(X1,bool),X3)),hAPP(fun(X3,fun(X3,X3)),fun(fun(X1,X3),fun(X3,fun(fun(X1,bool),X3))),finite_fold_image(X3,X1),times_times(X3)),X6),X4),X10)=hAPP(fun(X2,bool),X3,hAPP(X3,fun(fun(X2,bool),X3),hAPP(fun(X2,X3),fun(X3,fun(fun(X2,bool),X3)),hAPP(fun(X3,fun(X3,X3)),fun(fun(X2,X3),fun(X3,fun(fun(X2,bool),X3))),finite_fold_image(X3,X2),times_times(X3)),X5),X4),X9)|hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),esk141_10(X2,X1,X3,X4,X5,X6,X7,X8,X9,X10)),X9))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk142_10(X2,X1,X3,X4,X5,X6,X7,X8,X9,X10)),X10))|~comm_monoid_mult(X3)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X10)))).
% 21.80/3.34 cnf(i_0_1452, plain, (hAPP(fun(X1,bool),X3,hAPP(X3,fun(fun(X1,bool),X3),hAPP(fun(X1,X3),fun(X3,fun(fun(X1,bool),X3)),hAPP(fun(X3,fun(X3,X3)),fun(fun(X1,X3),fun(X3,fun(fun(X1,bool),X3))),finite_fold_image(X3,X1),times_times(X3)),X6),X4),X10)=hAPP(fun(X2,bool),X3,hAPP(X3,fun(fun(X2,bool),X3),hAPP(fun(X2,X3),fun(X3,fun(fun(X2,bool),X3)),hAPP(fun(X3,fun(X3,X3)),fun(fun(X2,X3),fun(X3,fun(fun(X2,bool),X3))),finite_fold_image(X3,X2),times_times(X3)),X5),X4),X9)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk142_10(X2,X1,X3,X4,X5,X6,X7,X8,X9,X10)),X10))|hAPP(X1,X2,X7,hAPP(X2,X1,X8,esk141_10(X2,X1,X3,X4,X5,X6,X7,X8,X9,X10)))!=hAPP(X2,X2,combi(X2),esk141_10(X2,X1,X3,X4,X5,X6,X7,X8,X9,X10))|~comm_monoid_mult(X3)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X10))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X2,X1,X8,esk141_10(X2,X1,X3,X4,X5,X6,X7,X8,X9,X10))),X10)))).
% 21.80/3.34 cnf(i_0_1453, plain, (hAPP(fun(X1,bool),X4,hAPP(X4,fun(fun(X1,bool),X4),hAPP(fun(X1,X4),fun(X4,fun(fun(X1,bool),X4)),hAPP(fun(X4,fun(X4,X4)),fun(fun(X1,X4),fun(X4,fun(fun(X1,bool),X4))),finite_fold_image(X4,X1),times_times(X4)),X6),X5),X9)=hAPP(fun(X2,bool),X4,hAPP(X4,fun(fun(X2,bool),X4),hAPP(fun(X2,X4),fun(X4,fun(fun(X2,bool),X4)),hAPP(fun(X4,fun(X4,X4)),fun(fun(X2,X4),fun(X4,fun(fun(X2,bool),X4))),finite_fold_image(X4,X2),times_times(X4)),X7),X5),X10)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk141_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10)),X9))|hAPP(X1,X4,X6,hAPP(X2,X1,X3,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10)))!=hAPP(X2,X4,X7,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))|hAPP(X1,X2,X8,hAPP(X2,X1,X3,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10)))!=hAPP(X2,X2,combi(X2),esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))|~comm_monoid_mult(X4)|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X10))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X2,X1,X3,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))),X9)))).
% 21.80/3.34 cnf(i_0_1451, plain, (hAPP(fun(X1,bool),X4,hAPP(X4,fun(fun(X1,bool),X4),hAPP(fun(X1,X4),fun(X4,fun(fun(X1,bool),X4)),hAPP(fun(X4,fun(X4,X4)),fun(fun(X1,X4),fun(X4,fun(fun(X1,bool),X4))),finite_fold_image(X4,X1),times_times(X4)),X6),X5),X9)=hAPP(fun(X2,bool),X4,hAPP(X4,fun(fun(X2,bool),X4),hAPP(fun(X2,X4),fun(X4,fun(fun(X2,bool),X4)),hAPP(fun(X4,fun(X4,X4)),fun(fun(X2,X4),fun(X4,fun(fun(X2,bool),X4))),finite_fold_image(X4,X2),times_times(X4)),X7),X5),X10)|hAPP(X1,X4,X6,hAPP(X2,X1,X3,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10)))!=hAPP(X2,X4,X7,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))|hAPP(X2,X1,X3,hAPP(X1,X2,X8,esk141_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10)))!=hAPP(X1,X1,combi(X1),esk141_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))|hAPP(X1,X2,X8,hAPP(X2,X1,X3,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10)))!=hAPP(X2,X2,combi(X2),esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))|~comm_monoid_mult(X4)|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X10))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),hAPP(X1,X2,X8,esk141_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))),X10))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X2,X1,X3,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))),X9)))).
% 21.80/3.34 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 21.80/3.34 # Begin printing tableau
% 21.80/3.34 # Found 5 steps
% 21.80/3.34 cnf(i_0_1739, negated_conjecture, (~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))), inference(start_rule)).
% 21.80/3.34 cnf(i_0_1740, plain, (~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))), inference(extension_rule, [i_0_1725])).
% 21.80/3.34 cnf(i_0_2211, plain, (hBOOL(fFalse)), inference(closure_rule, [i_0_1726])).
% 21.80/3.34 cnf(i_0_2213, plain, (~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),fFalse))), inference(extension_rule, [i_0_1714])).
% 21.80/3.34 cnf(i_0_13376, plain, (hBOOL(hAPP(bool,bool,fNot,hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),fFalse)))), inference(etableau_closure_rule, [i_0_13376, ...])).
% 21.80/3.34 # End printing tableau
% 21.80/3.34 # SZS output end
% 21.80/3.34 # Branches closed with saturation will be marked with an "s"
% 21.80/3.35 mes(X1),one_one(X1)),X2)=hAPP(X1,X1,combi(X1),X2)|~comm_monoid_mult(X1))).
% 21.80/3.35 cnf(i_0_471, plain, (hAPP(fun(X1,bool),X1,the(X1),hAPP(X1,fun(X1,bool),fequal(X1),X2))=hAPP(X1,X1,combi(X1),X2))).
% 21.80/3.35 cnf(i_0_1718, plain, (hAPP(X1,X2,hAPP(X2,fun(X1,X2),combk(X2,X1),X3),X4)=hAPP(X2,X2,combi(X2),X3))).
% 21.80/3.35 cnf(i_0_339, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool)))).
% 21.80/3.35 cnf(i_0_1430, plain, (hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),bot_bot(fun(nat,bool)))=bot_bot(fun(int,bool)))).
% 21.80/3.35 cnf(i_0_891, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)=zero_zero(nat)|one_one(nat)!=zero_zero(nat)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_470, plain, (hBOOL(hAPP(fun(X1,fun(fun(X1,bool),fun(X1,bool))),bool,finite_comp_fun_idem(X1,fun(X1,bool)),insert(X1))))).
% 21.80/3.35 cnf(i_0_38, plain, (hAPP(fun(fun(X1,X1),fun(nat,fun(X1,X1))),fun(fun(X1,X1),fun(nat,fun(X1,X1))),combi(fun(fun(X1,X1),fun(nat,fun(X1,X1)))),semiri532925092at_aux(X1))=semiri532925092at_aux(X1)|~semiring_1(X1))).
% 21.80/3.35 cnf(i_0_888, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),esk88_3(X1,X2,X3))=X3|hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=hAPP(nat,nat,suc,X3))).
% 21.80/3.35 cnf(i_0_904, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),esk94_3(X1,X2,X3))=X3|hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=hAPP(nat,nat,suc,X3))).
% 21.80/3.35 cnf(i_0_245, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X2)=bot_bot(fun(X1,bool)))).
% 21.80/3.35 cnf(i_0_295, plain, (hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),bot_bot(fun(X1,bool)))=bot_bot(fun(X2,bool)))).
% 21.80/3.35 cnf(i_0_58, plain, (hAPP(X1,X2,hAPP(fun(X1,X2),fun(X1,X2),combi(fun(X1,X2)),X3),X4)=hAPP(X1,X2,X3,X4))).
% 21.80/3.35 cnf(i_0_751, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~linord219039673up_add(X1))).
% 21.80/3.35 cnf(i_0_901, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~linord219039673up_add(X1))).
% 21.80/3.35 cnf(i_0_937, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~ring_n68954251visors(X1))).
% 21.80/3.35 cnf(i_0_938, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~ring_n68954251visors(X1))).
% 21.80/3.35 cnf(i_0_764, plain, (X2=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=X1)).
% 21.80/3.35 cnf(i_0_980, plain, (X1=one_one(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)!=one_one(nat))).
% 21.80/3.35 cnf(i_0_981, plain, (X1=one_one(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=one_one(nat))).
% 21.80/3.35 cnf(i_0_976, plain, (X1=one_one(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)!=one_one(nat))).
% 21.80/3.35 cnf(i_0_977, plain, (X1=one_one(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=one_one(nat))).
% 21.80/3.35 cnf(i_0_766, plain, (X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1)!=zero_zero(nat))).
% 21.80/3.35 cnf(i_0_767, plain, (X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=zero_zero(nat))).
% 21.80/3.35 cnf(i_0_1121, plain, (X2=one_one(nat)|X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=X1)).
% 21.80/3.35 cnf(i_0_946, plain, (X2=zero_zero(nat)|X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=zero_zero(nat))).
% 21.80/3.35 cnf(i_0_249, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.35 cnf(i_0_244, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.35 cnf(i_0_887, plain, (hAPP(fun(X2,bool),fun(X2,bool),combi(fun(X2,bool)),esk88_3(X2,X3,X1))=bot_bot(fun(X2,bool))|X1!=zero_zero(nat)|hAPP(fun(X2,bool),nat,finite_card(X2),X3)!=hAPP(nat,nat,suc,X1))).
% 21.80/3.35 cnf(i_0_903, plain, (hAPP(fun(X2,bool),fun(X2,bool),combi(fun(X2,bool)),esk94_3(X2,X3,X1))=bot_bot(fun(X2,bool))|X1!=zero_zero(nat)|hAPP(fun(X2,bool),nat,finite_card(X2),X3)!=hAPP(nat,nat,suc,X1))).
% 21.80/3.35 cnf(i_0_250, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),bot_bot(fun(X1,bool))),X2)=bot_bot(fun(X1,bool)))).
% 21.80/3.35 cnf(i_0_48, plain, (hAPP(fun(X1,fun(fun(X1,bool),fun(X1,bool))),fun(X1,fun(fun(X1,bool),fun(X1,bool))),combi(fun(X1,fun(fun(X1,bool),fun(X1,bool)))),insert(X1))=insert(X1))).
% 21.80/3.35 cnf(i_0_36, plain, (hAPP(fun(X1,fun(fun(nat,X1),fun(nat,X1))),fun(X1,fun(fun(nat,X1),fun(nat,X1))),combi(fun(X1,fun(fun(nat,X1),fun(nat,X1)))),nat_case(X1))=nat_case(X1))).
% 21.80/3.35 cnf(i_0_818, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)=hAPP(nat,nat,suc,zero_zero(nat))|X2!=zero_zero(nat)|X1!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.35 cnf(i_0_817, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)=hAPP(nat,nat,suc,zero_zero(nat))|X1!=zero_zero(nat)|X2!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.35 cnf(i_0_824, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)=hAPP(nat,nat,suc,zero_zero(nat))|X2!=zero_zero(nat)|X1!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.35 cnf(i_0_823, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)=hAPP(nat,nat,suc,zero_zero(nat))|X1!=zero_zero(nat)|X2!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.35 cnf(i_0_920, plain, (hAPP(X1,X1,combi(X1),X3)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X2)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~semiri456707255roduct(X1))).
% 21.80/3.35 cnf(i_0_201, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,X1),fun(fun(X1,bool),fun(X1,bool)),image(X1,X1),combi(X1)),X2)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2))).
% 21.80/3.35 cnf(i_0_752, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)!=zero_zero(X1)|~linord219039673up_add(X1))).
% 21.80/3.35 cnf(i_0_902, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)!=zero_zero(X1)|~linord219039673up_add(X1))).
% 21.80/3.35 cnf(i_0_47, plain, (hAPP(fun(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool))),fun(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool))),combi(fun(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)))),image(X1,X2))=image(X1,X2))).
% 21.80/3.35 cnf(i_0_1730, plain, (hBOOL(X1)|hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,X1),X2)))).
% 21.80/3.35 cnf(i_0_1724, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,X2),X1))|~hBOOL(X1))).
% 21.80/3.35 cnf(i_0_1723, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,X1),X2))|~hBOOL(X1))).
% 21.80/3.35 cnf(i_0_1731, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,X2),X1))|~hBOOL(X1))).
% 21.80/3.35 cnf(i_0_1586, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),pls)))).
% 21.80/3.35 cnf(i_0_1720, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,X1),X2))|~hBOOL(X2)|~hBOOL(X1))).
% 21.80/3.35 cnf(i_0_400, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1))).
% 21.80/3.35 cnf(i_0_1181, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1))).
% 21.80/3.35 cnf(i_0_1215, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X1))).
% 21.80/3.35 cnf(i_0_1187, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X1))).
% 21.80/3.35 cnf(i_0_99, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X1)))).
% 21.80/3.35 cnf(i_0_1216, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X1)))).
% 21.80/3.35 cnf(i_0_1573, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),hAPP(int,X1,number_number_of(X1),pls))=hAPP(X1,X1,combi(X1),X2)|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_97, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|X1!=X2)).
% 21.80/3.35 cnf(i_0_604, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|X1!=X2)).
% 21.80/3.35 cnf(i_0_609, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|X1!=X2)).
% 21.80/3.35 cnf(i_0_950, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)|X1!=zero_zero(nat))).
% 21.80/3.35 cnf(i_0_947, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)|X1!=zero_zero(nat))).
% 21.80/3.35 cnf(i_0_1237, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)|X1!=zero_zero(nat))).
% 21.80/3.35 cnf(i_0_246, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),bot_bot(fun(X1,bool)))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2))).
% 21.80/3.35 cnf(i_0_740, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),zero_zero(nat)))|X1!=zero_zero(nat))).
% 21.80/3.35 cnf(i_0_738, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_742, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_770, plain, (X1=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_774, plain, (X1=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_1204, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),one_one(int))))).
% 21.80/3.35 cnf(i_0_1285, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),one_one(int))))).
% 21.80/3.35 cnf(i_0_1283, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),zero_zero(int))))).
% 21.80/3.35 cnf(i_0_146, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X2))|~preorder(X1))).
% 21.80/3.35 cnf(i_0_151, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|X2!=X3|~preorder(X1))).
% 21.80/3.35 cnf(i_0_758, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~ab_group_add(X1))).
% 21.80/3.35 cnf(i_0_755, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~group_add(X1))).
% 21.80/3.35 cnf(i_0_919, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X2)|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_1009, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_820, plain, (X2=zero_zero(nat)|X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.35 cnf(i_0_826, plain, (X2=zero_zero(nat)|X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.35 cnf(i_0_301, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),bot_bot(X1)),X2))|~bot(X1))).
% 21.80/3.35 cnf(i_0_807, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),one_one(X1)))|~linordered_semidom(X1))).
% 21.80/3.35 cnf(i_0_806, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),one_one(X1)))|~linordered_semidom(X1))).
% 21.80/3.35 cnf(i_0_290, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)!=bot_bot(fun(X1,bool)))).
% 21.80/3.35 cnf(i_0_289, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)!=bot_bot(fun(X1,bool)))).
% 21.80/3.35 cnf(i_0_854, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=zero_zero(nat)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_296, plain, (hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),X4),X2)=bot_bot(fun(X3,bool))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool)))).
% 21.80/3.35 cnf(i_0_293, plain, (hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),X4),X2)=bot_bot(fun(X3,bool))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool)))).
% 21.80/3.35 cnf(i_0_372, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,X1)),one_one(nat))=X1)).
% 21.80/3.35 cnf(i_0_1, plain, (hAPP(fun(fun(X1,X2),fun(fun(X3,X1),fun(X3,X2))),fun(fun(X1,X2),fun(fun(X3,X1),fun(X3,X2))),combi(fun(fun(X1,X2),fun(fun(X3,X1),fun(X3,X2)))),combb(X1,X2,X3))=combb(X1,X2,X3))).
% 21.80/3.35 cnf(i_0_2, plain, (hAPP(fun(fun(X1,fun(X2,X3)),fun(X2,fun(X1,X3))),fun(fun(X1,fun(X2,X3)),fun(X2,fun(X1,X3))),combi(fun(fun(X1,fun(X2,X3)),fun(X2,fun(X1,X3)))),combc(X1,X2,X3))=combc(X1,X2,X3))).
% 21.80/3.35 cnf(i_0_1737, hypothesis, (hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)))).
% 21.80/3.35 cnf(i_0_757, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=zero_zero(X1)|~ab_group_add(X1))).
% 21.80/3.35 cnf(i_0_756, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=zero_zero(X1)|~group_add(X1))).
% 21.80/3.35 cnf(i_0_940, plain, (hAPP(X1,X1,combi(X1),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)!=zero_zero(X1)|~no_zero_divisors(X1))).
% 21.80/3.35 cnf(i_0_941, plain, (hAPP(X1,X1,combi(X1),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)!=zero_zero(X1)|~no_zero_divisors(X1))).
% 21.80/3.35 cnf(i_0_939, plain, (hAPP(X1,X1,combi(X1),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)!=zero_zero(X1)|~ring_n68954251visors(X1))).
% 21.80/3.35 cnf(i_0_1101, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)=hAPP(nat,nat,suc,zero_zero(nat))|X2!=hAPP(nat,nat,suc,zero_zero(nat))|X1!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.35 cnf(i_0_893, plain, (hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|hBOOL(hAPP(nat,bool,X1,esk90_2(X2,X1)))|~hBOOL(hAPP(nat,bool,X1,X2)))).
% 21.80/3.35 cnf(i_0_912, plain, (hBOOL(hAPP(nat,bool,X1,X2))|hBOOL(hAPP(nat,bool,X1,esk98_2(X2,X1)))|~hBOOL(hAPP(nat,bool,X1,zero_zero(nat))))).
% 21.80/3.35 cnf(i_0_346, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk30_2(X1,X2)),esk31_2(X1,X2))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2))).
% 21.80/3.35 cnf(i_0_340, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),esk27_2(X1,X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_1102, plain, (X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.35 cnf(i_0_1103, plain, (X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.35 cnf(i_0_819, plain, (X1=zero_zero(nat)|X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.35 cnf(i_0_822, plain, (X1=zero_zero(nat)|X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.35 cnf(i_0_825, plain, (X1=zero_zero(nat)|X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.35 cnf(i_0_828, plain, (X1=zero_zero(nat)|X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.35 cnf(i_0_1006, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),one_one(X1)),ring_1_Ints(X1)))|~ring_1(X1))).
% 21.80/3.35 cnf(i_0_1005, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),zero_zero(X1)),ring_1_Ints(X1)))|~ring_1(X1))).
% 21.80/3.35 cnf(i_0_570, plain, (hAPP(X1,X1,combi(X1),X2)=bot_bot(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),bot_bot(X1)),X2))|~bot(X1))).
% 21.80/3.35 cnf(i_0_921, plain, (hAPP(X1,X1,combi(X1),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)|~semiri456707255roduct(X1))).
% 21.80/3.35 cnf(i_0_307, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))=hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(X1,fun(X1,bool),fequal(X1),X2)))).
% 21.80/3.35 cnf(i_0_809, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|X1!=hAPP(nat,nat,suc,X2))).
% 21.80/3.35 cnf(i_0_1404, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),X1))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,X1)))).
% 21.80/3.35 cnf(i_0_473, plain, (hAPP(fun(X1,bool),X1,the(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,X2,esk41_3(X1,X2,X3)))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.35 cnf(i_0_299, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),bot_bot(X1)))|hAPP(X1,X1,combi(X1),X2)!=bot_bot(X1)|~bot(X1))).
% 21.80/3.35 cnf(i_0_908, plain, (hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X1,X2))|~hBOOL(hAPP(nat,bool,X1,esk96_1(X1))))).
% 21.80/3.35 cnf(i_0_1406, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),hAPP(nat,X1,semiring_1_of_nat(X1),X2))=hAPP(nat,X1,semiring_1_of_nat(X1),hAPP(nat,nat,suc,X2))|~semiring_1(X1))).
% 21.80/3.35 cnf(i_0_1541, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),hAPP(int,X1,number_number_of(X1),X2))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,succ,X2))|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_1465, plain, (hBOOL(hAPP(int,bool,nat_neg,X1))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_1572, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),pls)),X2)=hAPP(X1,X1,combi(X1),X2)|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_182, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X2)))).
% 21.80/3.35 cnf(i_0_821, plain, (X2=hAPP(nat,nat,suc,zero_zero(nat))|X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.35 cnf(i_0_827, plain, (X2=hAPP(nat,nat,suc,zero_zero(nat))|X1=hAPP(nat,nat,suc,zero_zero(nat))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1)!=hAPP(nat,nat,suc,zero_zero(nat)))).
% 21.80/3.35 cnf(i_0_5, plain, (hAPP(fun(fun(X1,fun(X2,X3)),fun(fun(X1,X2),fun(X1,X3))),fun(fun(X1,fun(X2,X3)),fun(fun(X1,X2),fun(X1,X3))),combi(fun(fun(X1,fun(X2,X3)),fun(fun(X1,X2),fun(X1,X3)))),combs(X1,X2,X3))=combs(X1,X2,X3))).
% 21.80/3.35 cnf(i_0_297, plain, (hAPP(fun(X2,bool),fun(X2,bool),combi(fun(X2,bool)),X4)=bot_bot(fun(X2,bool))|hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X4)!=bot_bot(fun(X1,bool)))).
% 21.80/3.35 cnf(i_0_294, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X4)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X4)!=bot_bot(fun(X2,bool)))).
% 21.80/3.35 cnf(i_0_1397, plain, (hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(int,bool,X1,esk127_1(X1))))).
% 21.80/3.35 cnf(i_0_472, plain, (hAPP(fun(X1,bool),X1,the(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(X1,X1,combi(X1),esk41_3(X1,X2,X3))!=hAPP(X1,X1,combi(X1),X3)|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.35 cnf(i_0_1444, plain, (hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,semiring_1_of_nat(int),esk134_1(X1))),hAPP(nat,int,semiring_1_of_nat(int),esk135_1(X1)))=X1)).
% 21.80/3.35 cnf(i_0_251, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk19_2(X1,X2)),X2)))).
% 21.80/3.35 cnf(i_0_254, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk20_2(X1,X2)),X2)))).
% 21.80/3.35 cnf(i_0_1551, plain, (~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),pls))))).
% 21.80/3.35 cnf(i_0_241, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),bot_bot(fun(X1,bool))),X2)))).
% 21.80/3.35 cnf(i_0_1499, plain, (~hBOOL(hAPP(int,bool,nat_neg,hAPP(nat,int,semiring_1_of_nat(int),X1))))).
% 21.80/3.35 cnf(i_0_13, plain, (hAPP(fun(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool)),fun(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool)),combi(fun(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool))),finite_folding_one(X1))=finite_folding_one(X1))).
% 21.80/3.35 cnf(i_0_14, plain, (hAPP(fun(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool)),fun(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool)),combi(fun(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool))),finite2073411215e_idem(X1))=finite2073411215e_idem(X1))).
% 21.80/3.35 cnf(i_0_1463, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))|~hBOOL(hAPP(int,bool,nat_neg,X1)))).
% 21.80/3.35 cnf(i_0_1342, plain, (hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,X2),X1)=zero_zero(int)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_837, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2))=zero_zero(nat))).
% 21.80/3.35 cnf(i_0_50, plain, (hAPP(fun(fun(X1,bool),fun(fun(X2,bool),fun(sum_sum(X1,X2),bool))),fun(fun(X1,bool),fun(fun(X2,bool),fun(sum_sum(X1,X2),bool))),combi(fun(fun(X1,bool),fun(fun(X2,bool),fun(sum_sum(X1,X2),bool)))),sum_Plus(X1,X2))=sum_Plus(X1,X2))).
% 21.80/3.35 cnf(i_0_1711, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),hAPP(bool,fun(X1,fun(X1,X1)),if(X1),fFalse),X2),X3)=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.35 cnf(i_0_1710, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),hAPP(bool,fun(X1,fun(X1,X1)),if(X1),fTrue),X2),X3)=hAPP(X1,X1,combi(X1),X2))).
% 21.80/3.35 cnf(i_0_1729, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),fequal(X1),X2),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.35 cnf(i_0_149, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1))).
% 21.80/3.35 cnf(i_0_150, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1))).
% 21.80/3.35 cnf(i_0_539, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1))).
% 21.80/3.35 cnf(i_0_392, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X2)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~cancel_semigroup_add(X1))).
% 21.80/3.35 cnf(i_0_394, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~cancel_semigroup_add(X1))).
% 21.80/3.35 cnf(i_0_687, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X2))|hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),esk56_2(X1,X2)),X2)))).
% 21.80/3.35 cnf(i_0_228, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),esk15_2(X1,X2)),X1)))).
% 21.80/3.35 cnf(i_0_615, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),esk46_2(X1,X2)),X1)))).
% 21.80/3.35 cnf(i_0_1722, plain, (hBOOL(X2)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,X1),X2)))).
% 21.80/3.35 cnf(i_0_1721, plain, (hBOOL(X1)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,X1),X2)))).
% 21.80/3.35 cnf(i_0_1725, plain, (hBOOL(X2)|hBOOL(X1)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fdisj,X1),X2)))).
% 21.80/3.35 cnf(i_0_1732, plain, (hBOOL(X2)|~hBOOL(X1)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fimplies,X1),X2)))).
% 21.80/3.35 cnf(i_0_1593, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),pls)))).
% 21.80/3.35 cnf(i_0_404, plain, (X2=X3|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3))).
% 21.80/3.35 cnf(i_0_406, plain, (X1=X3|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2))).
% 21.80/3.35 cnf(i_0_485, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X1)))).
% 21.80/3.35 cnf(i_0_490, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X1)))).
% 21.80/3.35 cnf(i_0_949, plain, (X2=X3|X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))).
% 21.80/3.35 cnf(i_0_1238, plain, (X2=X3|X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))).
% 21.80/3.35 cnf(i_0_952, plain, (X1=X3|X2=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2))).
% 21.80/3.35 cnf(i_0_486, plain, (X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_487, plain, (X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_491, plain, (X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_492, plain, (X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_602, plain, (X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1224, plain, (X1!=X2|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_771, plain, (X2!=zero_zero(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1518, plain, (hAPP(nat,int,semiring_1_of_nat(int),hAPP(int,nat,number_number_of(nat),X1))=hAPP(int,int,number_number_of(int),X1)|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_743, plain, (X1=X2|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)!=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)!=zero_zero(nat))).
% 21.80/3.35 cnf(i_0_737, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),zero_zero(nat))))).
% 21.80/3.35 cnf(i_0_772, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),zero_zero(nat))))).
% 21.80/3.35 cnf(i_0_775, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),zero_zero(nat))))).
% 21.80/3.35 cnf(i_0_741, plain, (X1=zero_zero(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),zero_zero(nat))))).
% 21.80/3.35 cnf(i_0_1439, plain, (hAPP(X1,X1,hAPP(nat,fun(X1,X1),hAPP(fun(X1,X1),fun(nat,fun(X1,X1)),semiri532925092at_aux(X1),X2),zero_zero(nat)),X3)=hAPP(X1,X1,combi(X1),X3)|~semiring_1(X1))).
% 21.80/3.35 cnf(i_0_1455, plain, (hAPP(nat,X2,semiring_1_of_nat(X2),hAPP(int,nat,number_number_of(nat),X1))=hAPP(int,X2,number_number_of(X2),X1)|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1)))|~number_ring(X2))).
% 21.80/3.35 cnf(i_0_773, plain, (X1!=zero_zero(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_890, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk87_3(X1,X2,X3)),esk88_3(X1,X2,X3))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)|hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=hAPP(nat,nat,suc,X3))).
% 21.80/3.35 cnf(i_0_906, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk93_3(X1,X2,X3)),esk94_3(X1,X2,X3))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)|hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=hAPP(nat,nat,suc,X3))).
% 21.80/3.35 cnf(i_0_501, plain, (~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X2)))).
% 21.80/3.35 cnf(i_0_1563, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(int,X1,number_number_of(X1),hAPP(int,int,bit1,pls)))=hAPP(X1,X1,combi(X1),X2)|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_482, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X1))))).
% 21.80/3.35 cnf(i_0_575, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|X1!=X2)).
% 21.80/3.35 cnf(i_0_568, plain, (~bot(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),bot_bot(X1))))).
% 21.80/3.35 cnf(i_0_814, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|X1!=zero_zero(nat))).
% 21.80/3.35 cnf(i_0_739, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,suc,X1))))).
% 21.80/3.35 cnf(i_0_811, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,zero_zero(nat))))|X1!=zero_zero(nat))).
% 21.80/3.35 cnf(i_0_1347, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(nat,int,semiring_1_of_nat(int),X1))))).
% 21.80/3.35 cnf(i_0_1392, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(nat,int,semiring_1_of_nat(int),X1))))).
% 21.80/3.35 cnf(i_0_1501, plain, (hAPP(int,nat,number_number_of(nat),X1)=zero_zero(nat)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_782, plain, (hAPP(nat,X1,hAPP(fun(nat,X1),fun(nat,X1),hAPP(X1,fun(fun(nat,X1),fun(nat,X1)),nat_case(X1),X2),X3),zero_zero(nat))=hAPP(X1,X1,combi(X1),X2))).
% 21.80/3.35 cnf(i_0_808, plain, (~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_805, plain, (~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),one_one(X1)),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_167, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.35 cnf(i_0_1480, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),hAPP(X1,X1,abs_abs(X1),X2)))|~ordere142940540dd_abs(X1))).
% 21.80/3.35 cnf(i_0_727, plain, (hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4)=bot_bot(fun(sum_sum(X1,X3),bool))|hAPP(fun(X3,bool),fun(X3,bool),combi(fun(X3,bool)),X4)!=bot_bot(fun(X3,bool))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool)))).
% 21.80/3.35 cnf(i_0_1349, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(nat,X1,semiring_1_of_nat(X1),X2)))|~linordered_semidom(X1))).
% 21.80/3.35 cnf(i_0_1350, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(nat,X1,semiring_1_of_nat(X1),X2)))|~linordered_semidom(X1))).
% 21.80/3.35 cnf(i_0_1469, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,abs_abs(X1),X2)))|~ordere142940540dd_abs(X1))).
% 21.80/3.35 cnf(i_0_729, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4)!=bot_bot(fun(sum_sum(X1,X3),bool)))).
% 21.80/3.35 cnf(i_0_728, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(sum_sum(X3,X1),bool),hAPP(fun(X3,bool),fun(fun(X1,bool),fun(sum_sum(X3,X1),bool)),sum_Plus(X3,X1),X4),X2)!=bot_bot(fun(sum_sum(X3,X1),bool)))).
% 21.80/3.35 cnf(i_0_1325, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,X1,esk114_3(X2,X1,X3)))|hBOOL(hAPP(int,bool,X1,esk115_3(X2,X1,X3)))|~hBOOL(hAPP(int,bool,X1,X3)))).
% 21.80/3.35 cnf(i_0_1386, plain, (hAPP(fun(int,bool),nat,finite_card(int),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1))=hAPP(fun(nat,bool),nat,finite_card(nat),X1))).
% 21.80/3.35 cnf(i_0_341, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk28_2(X1,X2)),esk27_2(X1,X2))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_343, plain, (hAPP(fun(X1,bool),X1,the_elem(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))=hAPP(X1,X1,combi(X1),X2))).
% 21.80/3.35 cnf(i_0_810, plain, (hAPP(nat,nat,suc,esk82_1(X1))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_898, plain, (hAPP(nat,nat,suc,esk92_1(X1))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_1421, plain, (hAPP(nat,int,semiring_1_of_nat(int),esk130_1(X1))=X1|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_1441, plain, (hAPP(nat,int,semiring_1_of_nat(int),esk131_1(X1))=X1|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_1442, plain, (hAPP(nat,int,semiring_1_of_nat(int),esk132_1(X1))=X1|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_1443, plain, (hAPP(nat,int,semiring_1_of_nat(int),esk133_1(X1))=X1|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_909, plain, (hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,suc,esk96_1(X1))))|~hBOOL(hAPP(nat,bool,X1,X2)))).
% 21.80/3.35 cnf(i_0_291, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),bot_bot(fun(X1,bool))))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool)))).
% 21.80/3.35 cnf(i_0_423, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|X1!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3))).
% 21.80/3.35 cnf(i_0_298, plain, (hAPP(X1,X1,combi(X1),X2)=bot_bot(X1)|~bot(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),bot_bot(X1))))).
% 21.80/3.35 cnf(i_0_300, plain, (hAPP(X1,X1,combi(X1),X2)=bot_bot(X1)|~bot(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),bot_bot(X1))))).
% 21.80/3.35 cnf(i_0_839, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)!=zero_zero(nat))).
% 21.80/3.35 cnf(i_0_1393, plain, (hBOOL(hAPP(int,bool,X1,esk126_1(X1)))|~hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),X2))))).
% 21.80/3.35 cnf(i_0_851, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),bot_bot(fun(X1,bool))))|~hBOOL(hAPP(X1,bool,bot_bot(fun(X1,bool)),X2)))).
% 21.80/3.35 cnf(i_0_1471, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,abs_abs(X1),X2)))|~ordere142940540dd_abs(X1))).
% 21.80/3.35 cnf(i_0_113, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,suc,X2)))|X1!=hAPP(nat,nat,suc,X2))).
% 21.80/3.35 cnf(i_0_318, plain, (hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),hAPP(X3,fun(X1,X3),combk(X3,X1),X4)),X2)=bot_bot(fun(X3,bool))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool)))).
% 21.80/3.35 cnf(i_0_884, plain, (hBOOL(hAPP(nat,bool,X2,zero_zero(nat)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk86_2(X1,X2)),X1))|~hBOOL(hAPP(nat,bool,X2,X1)))).
% 21.80/3.35 cnf(i_0_895, plain, (hBOOL(hAPP(nat,bool,X2,zero_zero(nat)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk90_2(X1,X2)),X1))|~hBOOL(hAPP(nat,bool,X2,X1)))).
% 21.80/3.35 cnf(i_0_1542, plain, (hAPP(int,nat,number_number_of(nat),hAPP(int,int,succ,X1))=hAPP(nat,nat,suc,hAPP(int,nat,number_number_of(nat),X1))|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_1462, plain, (hBOOL(hAPP(int,bool,nat_neg,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int))))).
% 21.80/3.35 cnf(i_0_569, plain, (hAPP(X1,X1,combi(X1),X2)!=bot_bot(X1)|~bot(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),bot_bot(X1)),X2)))).
% 21.80/3.35 cnf(i_0_690, plain, (X1=hAPP(nat,nat,suc,X2)|hAPP(nat,nat,suc,esk59_2(X2,X1))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1)))).
% 21.80/3.35 cnf(i_0_420, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,suc,X1)),X2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),hAPP(nat,nat,suc,X2)))).
% 21.80/3.35 cnf(i_0_120, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))).
% 21.80/3.35 cnf(i_0_1728, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),fequal(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_238, plain, (~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),bot_bot(fun(X1,bool)))))).
% 21.80/3.35 cnf(i_0_247, plain, (~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),bot_bot(fun(X1,bool)))))).
% 21.80/3.35 cnf(i_0_315, plain, (hAPP(nat,X1,hAPP(fun(nat,X1),fun(nat,X1),hAPP(X1,fun(fun(nat,X1),fun(nat,X1)),nat_case(X1),X2),X3),hAPP(nat,nat,suc,X4))=hAPP(nat,X1,X3,X4))).
% 21.80/3.35 cnf(i_0_166, plain, (hAPP(fun(X1,X2),fun(X1,X2),combi(fun(X1,X2)),X3)=hAPP(fun(X1,X2),fun(X1,X2),combi(fun(X1,X2)),X4)|hAPP(X1,X2,X3,esk6_4(X1,X2,X3,X4))!=hAPP(X1,X2,X4,esk6_4(X1,X2,X3,X4)))).
% 21.80/3.35 cnf(i_0_393, plain, (hAPP(X1,X1,combi(X1),X3)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)|~cancel_semigroup_add(X1))).
% 21.80/3.35 cnf(i_0_396, plain, (hAPP(X1,X1,combi(X1),X3)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)|~cancel_semigroup_add(X1))).
% 21.80/3.35 cnf(i_0_397, plain, (hAPP(X1,X1,combi(X1),X3)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)|~cancel146912293up_add(X1))).
% 21.80/3.35 cnf(i_0_395, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3)|~cancel_semigroup_add(X1))).
% 21.80/3.35 cnf(i_0_398, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3)|~cancel_semigroup_add(X1))).
% 21.80/3.35 cnf(i_0_1545, plain, (hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,X1))=zero_zero(nat)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_1543, plain, (hAPP(nat,nat,suc,hAPP(int,nat,number_number_of(nat),X1))=one_one(nat)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_1519, plain, (hAPP(nat,int,semiring_1_of_nat(int),hAPP(int,nat,number_number_of(nat),X1))=zero_zero(int)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_1473, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,abs_abs(X1),X2)|~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1466, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,abs_abs(X1),X2)|~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1398, plain, (hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),X2)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk127_1(X1))))).
% 21.80/3.35 cnf(i_0_418, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),hAPP(nat,nat,suc,X2))=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_468, plain, (hAPP(fun(X1,bool),X1,the(X1),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X2))=hAPP(X1,X1,combi(X1),X2))).
% 21.80/3.35 cnf(i_0_1456, plain, (hAPP(nat,X2,semiring_1_of_nat(X2),hAPP(int,nat,number_number_of(nat),X1))=zero_zero(X2)|~number_ring(X2)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_892, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)=zero_zero(nat)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk89_2(X1,X2)),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_475, plain, (hBOOL(hAPP(X1,bool,X2,esk42_3(X1,X2,X3)))|hBOOL(hAPP(X1,bool,X2,hAPP(fun(X1,bool),X1,the(X1),X2)))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.35 cnf(i_0_479, plain, (hBOOL(hAPP(X1,bool,X2,esk44_3(X1,X2,X3)))|hBOOL(hAPP(X1,bool,X2,hAPP(fun(X1,bool),X1,the(X1),X2)))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.35 cnf(i_0_1497, plain, (hAPP(int,int,abs_abs(int),X1)=one_one(int)|hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2))!=one_one(int))).
% 21.80/3.35 cnf(i_0_331, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,esk24_3(X1,X2,X3)))|hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3)))).
% 21.80/3.35 cnf(i_0_98, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1217, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X1))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_333, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),esk24_3(X1,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3)))).
% 21.80/3.35 cnf(i_0_488, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_489, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1222, plain, (X1=X2|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X1))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1487, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X2))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)|~linordered_idom(X1))).
% 21.80/3.35 cnf(i_0_686, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk56_2(X1,X2)),X1)))).
% 21.80/3.35 cnf(i_0_614, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk46_2(X1,X2)),X2)))).
% 21.80/3.35 cnf(i_0_227, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk15_2(X1,X2)),X2)))).
% 21.80/3.35 cnf(i_0_335, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|hBOOL(hAPP(fun(X1,bool),bool,X2,esk26_3(X1,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool)))))).
% 21.80/3.35 cnf(i_0_187, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.35 cnf(i_0_184, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.35 cnf(i_0_185, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.35 cnf(i_0_186, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.35 cnf(i_0_192, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.35 cnf(i_0_193, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.35 cnf(i_0_662, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.35 cnf(i_0_337, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),esk26_3(X1,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool)))))).
% 21.80/3.35 cnf(i_0_531, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linorder(X1))).
% 21.80/3.35 cnf(i_0_532, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linorder(X1))).
% 21.80/3.35 cnf(i_0_543, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linorder(X1))).
% 21.80/3.35 cnf(i_0_529, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~linorder(X1))).
% 21.80/3.35 cnf(i_0_542, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~linorder(X1))).
% 21.80/3.35 cnf(i_0_147, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linorder(X1))).
% 21.80/3.35 cnf(i_0_162, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linorder(X1))).
% 21.80/3.35 cnf(i_0_973, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)|~ab_sem1668676832m_mult(X1))).
% 21.80/3.35 cnf(i_0_838, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)=zero_zero(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_840, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)=zero_zero(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1464, plain, (~hBOOL(hAPP(int,bool,nat_neg,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_424, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),esk38_2(X1,X2))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_896, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),esk91_2(X1,X2))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1198, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)=one_one(int)|X2!=one_one(int)|X1!=one_one(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_512, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_515, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_516, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_534, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_502, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_503, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_505, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_1344, plain, (hAPP(nat,X2,semiring_1_of_nat(X2),hAPP(int,nat,number_number_of(nat),X1))=zero_zero(X2)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,number_number_of(int),X1)))|~number_ring(X2))).
% 21.80/3.35 cnf(i_0_474, plain, (hBOOL(hAPP(X1,bool,X2,hAPP(fun(X1,bool),X1,the(X1),X2)))|hAPP(X1,X1,combi(X1),esk42_3(X1,X2,X3))!=hAPP(X1,X1,combi(X1),X3)|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.35 cnf(i_0_478, plain, (hBOOL(hAPP(X1,bool,X2,hAPP(fun(X1,bool),X1,the(X1),X2)))|hAPP(X1,X1,combi(X1),esk44_3(X1,X2,X3))!=hAPP(X1,X1,combi(X1),X3)|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.35 cnf(i_0_168, plain, (hBOOL(hAPP(X1,bool,X3,X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_1431, plain, (X1=X2|hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1)!=hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X2))).
% 21.80/3.35 cnf(i_0_1555, plain, (hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,hAPP(int,int,bit1,pls)))=hAPP(nat,nat,suc,hAPP(nat,nat,suc,hAPP(nat,nat,suc,zero_zero(nat)))))).
% 21.80/3.35 cnf(i_0_924, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),esk99_3(X1,X2,X3)))|~linordered_field(X1))).
% 21.80/3.35 cnf(i_0_1176, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),esk100_3(X1,X2,X3)))|~linord1117847801e_zero(X1))).
% 21.80/3.35 cnf(i_0_252, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_242, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.35 cnf(i_0_253, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.35 cnf(i_0_658, plain, (~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),bot_bot(fun(X1,bool)))))).
% 21.80/3.35 cnf(i_0_345, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk30_2(X1,X2)),esk31_2(X1,X2))))).
% 21.80/3.35 cnf(i_0_1460, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,abs_abs(int),X1)),one_one(int)))|X1!=zero_zero(int))).
% 21.80/3.35 cnf(i_0_1399, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),zero_zero(int)))|X1!=zero_zero(nat))).
% 21.80/3.35 cnf(i_0_419, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,suc,X1)),X2)=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_477, plain, (hAPP(fun(X1,bool),X1,the(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,X2,esk43_4(X1,X3,X2,X4)))|~hBOOL(hAPP(X1,bool,X2,X4))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.35 cnf(i_0_1374, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X1))|X1!=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),hAPP(nat,int,semiring_1_of_nat(int),X3)))).
% 21.80/3.35 cnf(i_0_1546, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),hAPP(int,nat,number_number_of(nat),X1))=hAPP(int,nat,number_number_of(nat),hAPP(int,int,succ,X1))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))).
% 21.80/3.35 cnf(i_0_338, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4)))).
% 21.80/3.35 cnf(i_0_1117, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),hAPP(nat,nat,suc,X2)))).
% 21.80/3.35 cnf(i_0_1716, plain, (hAPP(X1,X2,hAPP(X3,fun(X1,X2),hAPP(fun(X1,fun(X3,X2)),fun(X3,fun(X1,X2)),combc(X1,X3,X2),X4),X5),X6)=hAPP(X3,X2,hAPP(X1,fun(X3,X2),X4,X6),X5))).
% 21.80/3.35 cnf(i_0_1715, plain, (hAPP(X1,X2,hAPP(fun(X1,X3),fun(X1,X2),hAPP(fun(X3,X2),fun(fun(X1,X3),fun(X1,X2)),combb(X3,X2,X1),X4),X5),X6)=hAPP(X3,X2,X4,hAPP(X1,X3,X5,X6)))).
% 21.80/3.35 cnf(i_0_706, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk70_3(X1,X2,X3)),X3))|~dense_linorder(X1))).
% 21.80/3.35 cnf(i_0_850, plain, (hBOOL(hAPP(X1,bool,bot_bot(fun(X1,bool)),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),bot_bot(fun(X1,bool)))))).
% 21.80/3.35 cnf(i_0_1175, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk100_3(X1,X2,X3)),one_one(X1)))|~linord1117847801e_zero(X1))).
% 21.80/3.35 cnf(i_0_476, plain, (hAPP(fun(X1,bool),X1,the(X1),X3)=hAPP(X1,X1,combi(X1),X2)|hAPP(X1,X1,combi(X1),esk43_4(X1,X2,X3,X4))!=hAPP(X1,X1,combi(X1),X4)|~hBOOL(hAPP(X1,bool,X3,X4))|~hBOOL(hAPP(X1,bool,X3,X2)))).
% 21.80/3.35 cnf(i_0_730, plain, (hAPP(fun(sum_sum(X3,X1),bool),nat,finite_card(sum_sum(X3,X1)),hAPP(fun(X1,bool),fun(sum_sum(X3,X1),bool),hAPP(fun(X3,bool),fun(fun(X1,bool),fun(sum_sum(X3,X1),bool)),sum_Plus(X3,X1),X4),X2))=zero_zero(nat)|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_731, plain, (hAPP(fun(sum_sum(X1,X3),bool),nat,finite_card(sum_sum(X1,X3)),hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4))=zero_zero(nat)|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_504, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1))).
% 21.80/3.35 cnf(i_0_507, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1))).
% 21.80/3.35 cnf(i_0_508, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1))).
% 21.80/3.35 cnf(i_0_510, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1))).
% 21.80/3.35 cnf(i_0_511, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1))).
% 21.80/3.35 cnf(i_0_527, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1))).
% 21.80/3.35 cnf(i_0_669, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linordered_idom(X1))).
% 21.80/3.35 cnf(i_0_1199, plain, (X1=one_one(int)|hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X1)!=one_one(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))).
% 21.80/3.35 cnf(i_0_1200, plain, (X1=one_one(int)|hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)!=one_one(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_1488, plain, (hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3))=hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X3),X2))|~ordere142940540dd_abs(X1))).
% 21.80/3.35 cnf(i_0_1512, plain, (X1=X2|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X2)))|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1)))|hAPP(int,nat,number_number_of(nat),X1)!=hAPP(int,nat,number_number_of(nat),X2))).
% 21.80/3.35 cnf(i_0_911, plain, (hBOOL(hAPP(nat,bool,X1,X2))|~hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,suc,esk98_2(X2,X1)))))).
% 21.80/3.35 cnf(i_0_1547, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),hAPP(int,nat,number_number_of(nat),X1))=one_one(nat)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))).
% 21.80/3.35 cnf(i_0_1328, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,X1,esk115_3(X2,X1,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),esk114_3(X2,X1,X3)))|~hBOOL(hAPP(int,bool,X1,X3)))).
% 21.80/3.35 cnf(i_0_317, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),hAPP(X3,fun(X1,X3),combk(X3,X1),X4)),X2)=hAPP(fun(X3,bool),fun(X3,bool),hAPP(X3,fun(fun(X3,bool),fun(X3,bool)),insert(X3),X4),bot_bot(fun(X3,bool))))).
% 21.80/3.35 cnf(i_0_1375, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),hAPP(nat,int,semiring_1_of_nat(int),esk124_2(X1,X2)))=X2|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_292, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),bot_bot(fun(X1,bool)))))).
% 21.80/3.35 cnf(i_0_320, plain, (hAPP(X1,X1,combi(X1),X4)=hAPP(X1,X1,combi(X1),X5)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X4),X5)|~ab_group_add(X1))).
% 21.80/3.35 cnf(i_0_321, plain, (hAPP(X1,X1,combi(X1),X4)=hAPP(X1,X1,combi(X1),X5)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X4),X5)|~ab_group_add(X1))).
% 21.80/3.35 cnf(i_0_1358, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),ring_1_Ints(X1)))|~ring_1(X1))).
% 21.80/3.35 cnf(i_0_985, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(int,X1,number_number_of(X1),X2)),ring_1_Ints(X1)))|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_435, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X2)=X1)).
% 21.80/3.35 cnf(i_0_436, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X1)=X2)).
% 21.80/3.35 cnf(i_0_640, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))=X1|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1394, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk126_1(X1)))|~hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),X2))))).
% 21.80/3.35 cnf(i_0_875, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(fun(X1,bool),nat,finite_card(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_279, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))).
% 21.80/3.35 cnf(i_0_306, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X2))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))).
% 21.80/3.35 cnf(i_0_1326, plain, (hBOOL(hAPP(int,bool,X2,X1))|hBOOL(hAPP(int,bool,X2,esk114_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk115_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,X2,X3)))).
% 21.80/3.35 cnf(i_0_1564, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),hAPP(int,int,bit1,pls))),X2)=hAPP(X1,X1,combi(X1),X2)|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_544, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~linorder(X1))).
% 21.80/3.35 cnf(i_0_812, plain, (X1=zero_zero(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,zero_zero(nat)))))).
% 21.80/3.35 cnf(i_0_1343, plain, (hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),X1)=hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,X2),X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1420, plain, (hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),X1)=hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,X2),X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_603, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_605, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_607, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_610, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_611, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1225, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_601, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_606, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_608, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1223, plain, (X1=X2|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1467, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,abs_abs(X1),X2)),zero_zero(X1)))|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~ordere142940540dd_abs(X1))).
% 21.80/3.35 cnf(i_0_1206, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),X1)))).
% 21.80/3.35 cnf(i_0_1205, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_1384, plain, (hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1422, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),esk130_1(X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_1377, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1372, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1385, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1195, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,number_number_of(int),X1)),hAPP(int,int,number_number_of(int),X2))=hAPP(int,int,number_number_of(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1376, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1379, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1188, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,number_number_of(int),X1)),hAPP(int,int,number_number_of(int),X2))=hAPP(int,int,number_number_of(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_897, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),esk91_2(X1,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1118, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X1)),X2))).
% 21.80/3.35 cnf(i_0_574, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),hAPP(nat,nat,suc,X1))))).
% 21.80/3.35 cnf(i_0_580, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|X1!=X2)).
% 21.80/3.35 cnf(i_0_1122, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~ring_char_0(X1)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1))))).
% 21.80/3.35 cnf(i_0_535, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_540, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_538, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_549, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_1361, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),hAPP(nat,X1,semiring_1_of_nat(X1),X3))=hAPP(nat,X1,semiring_1_of_nat(X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3))|~semiring_1(X1))).
% 21.80/3.35 cnf(i_0_1378, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),hAPP(nat,X1,semiring_1_of_nat(X1),X3))=hAPP(nat,X1,semiring_1_of_nat(X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3))|~semiring_1(X1))).
% 21.80/3.35 cnf(i_0_996, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),X3))|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_1000, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3))|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_986, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_1001, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3))|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_989, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_170, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))).
% 21.80/3.35 cnf(i_0_1568, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),X1)),X1)=hAPP(int,int,bit1,X1))).
% 21.80/3.35 cnf(i_0_1486, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3))=hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3))|~linordered_idom(X1))).
% 21.80/3.35 cnf(i_0_1319, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),esk112_2(X1,X3))))).
% 21.80/3.35 cnf(i_0_181, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_816, plain, (X1=zero_zero(nat)|hAPP(nat,nat,suc,esk83_2(X1,X2))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.35 cnf(i_0_469, plain, (hAPP(X2,X2,hAPP(X1,fun(X2,X2),X3,X4),hAPP(X2,X2,hAPP(X1,fun(X2,X2),X3,X4),X5))=hAPP(X2,X2,hAPP(X1,fun(X2,X2),X3,X4),X5)|~hBOOL(hAPP(fun(X1,fun(X2,X2)),bool,finite_comp_fun_idem(X1,X2),X3)))).
% 21.80/3.35 cnf(i_0_1320, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk113_2(X1,X2)),X3)))).
% 21.80/3.35 cnf(i_0_417, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X3)=hAPP(X1,X1,combi(X1),X2)|~group_add(X1))).
% 21.80/3.35 cnf(i_0_416, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),X3)=hAPP(X1,X1,combi(X1),X2)|~group_add(X1))).
% 21.80/3.35 cnf(i_0_879, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_878, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat)))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_625, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),esk47_2(X1,X2)))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_650, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),esk51_2(X1,X2)))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_691, plain, (X2=hAPP(nat,nat,suc,X1)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),esk59_2(X1,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_223, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk11_3(X1,X2,X3)),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2)))).
% 21.80/3.35 cnf(i_0_10, plain, (hAPP(fun(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1)))),fun(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1)))),combi(fun(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1))))),finite_fold_image(X1,X2))=finite_fold_image(X1,X2))).
% 21.80/3.35 cnf(i_0_1719, plain, (hAPP(X1,X2,hAPP(fun(X1,X3),fun(X1,X2),hAPP(fun(X1,fun(X3,X2)),fun(fun(X1,X3),fun(X1,X2)),combs(X1,X3,X2),X4),X5),X6)=hAPP(X3,X2,hAPP(X1,fun(X3,X2),X4,X6),hAPP(X1,X3,X5,X6)))).
% 21.80/3.35 cnf(i_0_666, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_624, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1))|X1!=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))).
% 21.80/3.35 cnf(i_0_1123, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)!=zero_zero(X1)|~ring_char_0(X1)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1))))).
% 21.80/3.35 cnf(i_0_1280, plain, (hBOOL(hAPP(int,bool,X1,X3))|hBOOL(hAPP(int,bool,X1,esk106_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3)))).
% 21.80/3.35 cnf(i_0_1272, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,X1,esk103_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3)))).
% 21.80/3.35 cnf(i_0_450, plain, (X1=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)!=X3|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))).
% 21.80/3.35 cnf(i_0_449, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)=X2|X1!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X1)))).
% 21.80/3.35 cnf(i_0_1435, plain, (hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),hAPP(bool,fun(nat,fun(nat,nat)),if(nat),X1),X3),X2))=hAPP(nat,int,semiring_1_of_nat(int),X2)|hBOOL(X1))).
% 21.80/3.35 cnf(i_0_1436, plain, (hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),hAPP(bool,fun(nat,fun(nat,nat)),if(nat),X1),X2),X3))=hAPP(nat,int,semiring_1_of_nat(int),X2)|~hBOOL(X1))).
% 21.80/3.35 cnf(i_0_1472, plain, (hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,abs_abs(X1),X2))))).
% 21.80/3.35 cnf(i_0_858, plain, (hBOOL(hAPP(X1,bool,X4,X3))|~hBOOL(hAPP(X1,bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X4)))).
% 21.80/3.35 cnf(i_0_859, plain, (hBOOL(hAPP(X1,bool,X3,X4))|~hBOOL(hAPP(X1,bool,X2,X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_344, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X4))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4))).
% 21.80/3.35 cnf(i_0_894, plain, (hBOOL(hAPP(nat,bool,X3,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X3,X2))|~hBOOL(hAPP(nat,bool,X3,X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),esk90_2(X2,X3))))).
% 21.80/3.35 cnf(i_0_883, plain, (hBOOL(hAPP(nat,bool,X3,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X3,X2))|~hBOOL(hAPP(nat,bool,X3,X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),esk86_2(X2,X3))))).
% 21.80/3.35 cnf(i_0_1565, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),X2)),one_one(X1))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),hAPP(int,int,bit1,pls)))|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_547, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2)))).
% 21.80/3.35 cnf(i_0_533, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_541, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_546, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_552, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_553, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_554, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_545, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_551, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_401, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)))).
% 21.80/3.35 cnf(i_0_1214, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3))=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X3)))).
% 21.80/3.35 cnf(i_0_500, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),X3,X1),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_421, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1))))).
% 21.80/3.35 cnf(i_0_422, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2))))).
% 21.80/3.35 cnf(i_0_968, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X1))))).
% 21.80/3.35 cnf(i_0_1508, plain, (hAPP(int,nat,number_number_of(nat),X1)=hAPP(int,nat,number_number_of(nat),X2)|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X2)))|hAPP(int,int,number_number_of(int),X2)!=zero_zero(int)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_889, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=hAPP(nat,nat,suc,X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk87_3(X1,X2,X3)),esk88_3(X1,X2,X3))))).
% 21.80/3.35 cnf(i_0_905, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=hAPP(nat,nat,suc,X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk93_3(X1,X2,X3)),esk94_3(X1,X2,X3))))).
% 21.80/3.35 cnf(i_0_1233, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),one_one(int))))|X1!=X2)).
% 21.80/3.35 cnf(i_0_107, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2)))).
% 21.80/3.35 cnf(i_0_106, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_1395, plain, (hBOOL(hAPP(int,bool,X2,hAPP(nat,int,semiring_1_of_nat(int),esk125_1(X2))))|~hBOOL(hAPP(int,bool,X2,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_855, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(fun(X1,bool),nat,finite_card(X1),X2))))).
% 21.80/3.35 cnf(i_0_876, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(fun(X1,bool),nat,finite_card(X1),X2))))).
% 21.80/3.35 cnf(i_0_877, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(fun(X1,bool),nat,finite_card(X1),X2))))).
% 21.80/3.35 cnf(i_0_705, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~dense_linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),esk70_3(X1,X2,X3)),X2)))).
% 21.80/3.35 cnf(i_0_126, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_444, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1403, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,esk129_2(X1,X2))))=X2|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1513, plain, (hAPP(int,int,number_number_of(int),X2)=zero_zero(int)|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X2)))|hAPP(int,nat,number_number_of(nat),X1)!=hAPP(int,nat,number_number_of(nat),X2)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_332, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk23_3(X1,X2,X3)),esk24_3(X1,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3)))).
% 21.80/3.35 cnf(i_0_647, plain, (hBOOL(hAPP(nat,bool,X1,X2))|~hBOOL(hAPP(nat,bool,X1,X3))|~hBOOL(hAPP(nat,bool,X1,esk50_3(X1,X2,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))).
% 21.80/3.35 cnf(i_0_918, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4))|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_1010, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_654, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),one_one(X1))))|~linordered_semidom(X1))).
% 21.80/3.35 cnf(i_0_1059, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)))|~linordered_ring(X1))).
% 21.80/3.35 cnf(i_0_1100, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),one_one(X1))),X2)|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_523, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X4)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_521, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X2))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X3)))).
% 21.80/3.35 cnf(i_0_509, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_157, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X4)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_155, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X2))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X3)))).
% 21.80/3.35 cnf(i_0_152, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2)))).
% 21.80/3.35 cnf(i_0_95, plain, (X1=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1219, plain, (X1=X2|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_849, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),one_one(X1))))|~linordered_semidom(X1))).
% 21.80/3.35 cnf(i_0_1241, plain, (X2=X3|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_886, plain, (X1=zero_zero(nat)|hAPP(fun(X2,bool),nat,finite_card(X2),X3)=hAPP(nat,nat,suc,X1)|hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X4),X5))|hAPP(fun(X2,bool),nat,finite_card(X2),X5)!=X1|hAPP(fun(X2,bool),fun(X2,bool),combi(fun(X2,bool)),X3)!=hAPP(fun(X2,bool),fun(X2,bool),hAPP(X2,fun(fun(X2,bool),fun(X2,bool)),insert(X2),X4),X5))).
% 21.80/3.35 cnf(i_0_1602, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(int,int,bit1,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))).
% 21.80/3.35 cnf(i_0_1587, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),hAPP(int,int,bit1,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))).
% 21.80/3.35 cnf(i_0_364, plain, (hAPP(X2,X1,hAPP(fun(X2,X1),fun(X2,X1),hAPP(fun(X2,X1),fun(fun(X2,X1),fun(X2,X1)),minus_minus(fun(X2,X1)),X3),X4),X5)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X2,X1,X3,X5)),hAPP(X2,X1,X4,X5))|~minus(X1))).
% 21.80/3.35 cnf(i_0_365, plain, (hAPP(X2,X1,hAPP(fun(X2,X1),fun(X2,X1),hAPP(fun(X2,X1),fun(fun(X2,X1),fun(X2,X1)),minus_minus(fun(X2,X1)),X3),X4),X5)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X2,X1,X3,X5)),hAPP(X2,X1,X4,X5))|~minus(X1))).
% 21.80/3.35 cnf(i_0_576, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_583, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_628, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_632, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_110, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_114, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_634, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2)))|X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))).
% 21.80/3.35 cnf(i_0_519, plain, (~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_513, plain, (~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_514, plain, (~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_518, plain, (~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_526, plain, (~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_537, plain, (~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_506, plain, (~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_528, plain, (~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_548, plain, (~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_530, plain, (~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2)))).
% 21.80/3.35 cnf(i_0_1345, plain, (hAPP(nat,X2,semiring_1_of_nat(X2),hAPP(int,nat,number_number_of(nat),X1))=hAPP(int,X2,number_number_of(X2),X1)|~number_ring(X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_517, plain, (hBOOL(X4)|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_1329, plain, (hBOOL(hAPP(int,bool,X2,X1))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),esk114_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk115_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,X2,X3)))).
% 21.80/3.35 cnf(i_0_1408, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(nat,int,semiring_1_of_nat(int),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_72, plain, (hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,X2),X1))|~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),X1),X2)))).
% 21.80/3.35 cnf(i_0_1566, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),hAPP(int,X1,number_number_of(X1),X2))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,bit1,pls)),X2))|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_117, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X2)),X1)))).
% 21.80/3.35 cnf(i_0_842, plain, (hAPP(nat,nat,hAPP(fun(nat,nat),fun(nat,nat),hAPP(nat,fun(fun(nat,nat),fun(nat,nat)),nat_case(nat),zero_zero(nat)),combi(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),hAPP(nat,nat,suc,X2)))).
% 21.80/3.35 cnf(i_0_1402, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X1))|X1!=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,X3))))).
% 21.80/3.35 cnf(i_0_882, plain, (hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk86_2(X2,X1)),one_one(nat))))|~hBOOL(hAPP(nat,bool,X1,X2)))).
% 21.80/3.35 cnf(i_0_1317, plain, (~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),esk110_2(X1,X3))))).
% 21.80/3.35 cnf(i_0_1411, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),zero_zero(X2)),hAPP(nat,X2,semiring_1_of_nat(X2),X1)))|~linordered_semidom(X2)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_399, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,X4),X4)=hAPP(X1,X1,combi(X1),X4)|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite2073411215e_idem(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_373, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),X2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),hAPP(nat,nat,suc,X2)))).
% 21.80/3.35 cnf(i_0_1318, plain, (~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk111_2(X1,X2)),X3)))).
% 21.80/3.35 cnf(i_0_616, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),esk45_1(X1)))|~hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|~hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X2),X1)))).
% 21.80/3.35 cnf(i_0_229, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),esk14_1(X1)))|~hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|~hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X2),X1)))).
% 21.80/3.35 cnf(i_0_856, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),hAPP(nat,nat,suc,zero_zero(nat))))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_861, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),esk84_3(X3,X1,X2))=X1|hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)))|~hBOOL(hAPP(nat,bool,X3,zero_zero(nat))))).
% 21.80/3.35 cnf(i_0_867, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),esk85_3(X3,X1,X2))=X1|hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)))|~hBOOL(hAPP(nat,bool,X3,zero_zero(nat))))).
% 21.80/3.35 cnf(i_0_1552, plain, (hAPP(nat,int,semiring_1_of_nat(int),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,hAPP(int,int,bit1,pls))))=hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,hAPP(int,int,bit1,pls))))).
% 21.80/3.35 cnf(i_0_1396, plain, (hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),esk128_1(X1))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2)))).
% 21.80/3.35 cnf(i_0_813, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X3)))|X1!=hAPP(nat,nat,suc,X2)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3)))).
% 21.80/3.35 cnf(i_0_661, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_663, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_667, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_175, plain, (hBOOL(hAPP(X1,bool,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X2),X3))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.35 cnf(i_0_176, plain, (hBOOL(hAPP(X1,bool,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4),X3))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.35 cnf(i_0_143, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,X1,X3))|~hBOOL(hAPP(nat,bool,X1,esk4_3(X2,X1,X3))))).
% 21.80/3.35 cnf(i_0_961, plain, (X2=X3|hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X1)),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X1)),X3))).
% 21.80/3.35 cnf(i_0_1281, plain, (hBOOL(hAPP(int,bool,X2,X3))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),esk106_3(X2,X1,X3)))|~hBOOL(hAPP(int,bool,X2,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X3)))).
% 21.80/3.35 cnf(i_0_118, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X1)))).
% 21.80/3.35 cnf(i_0_860, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X1,esk84_3(X1,X2,X3))))).
% 21.80/3.35 cnf(i_0_866, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X1,esk85_3(X1,X2,X3))))).
% 21.80/3.35 cnf(i_0_1603, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(int,int,bit1,X1))))).
% 21.80/3.35 cnf(i_0_1588, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),hAPP(int,int,bit1,X1))))).
% 21.80/3.35 cnf(i_0_885, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),X3)=hAPP(nat,nat,suc,X5)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|hAPP(fun(X1,bool),nat,finite_card(X1),X2)!=X5|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X2))).
% 21.80/3.35 cnf(i_0_148, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_153, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_158, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_160, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_629, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.35 cnf(i_0_577, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.35 cnf(i_0_581, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.35 cnf(i_0_582, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.35 cnf(i_0_586, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.35 cnf(i_0_75, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_104, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_1348, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),zero_zero(int))))).
% 21.80/3.35 cnf(i_0_1400, plain, (X1=zero_zero(nat)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),zero_zero(int))))).
% 21.80/3.35 cnf(i_0_1461, plain, (X1=zero_zero(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,abs_abs(int),X1)),one_one(int))))).
% 21.80/3.35 cnf(i_0_657, plain, (hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less_eq(fun(X1,X2)),X3),X4))|~ord(X2)|~hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less(fun(X1,X2)),X3),X4)))).
% 21.80/3.35 cnf(i_0_1409, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(nat,int,semiring_1_of_nat(int),X1))))).
% 21.80/3.35 cnf(i_0_648, plain, (hBOOL(hAPP(nat,bool,X1,X2))|hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,suc,esk50_3(X1,X2,X3))))|~hBOOL(hAPP(nat,bool,X1,X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))).
% 21.80/3.35 cnf(i_0_222, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk11_3(X1,X2,X3)),X2)))).
% 21.80/3.35 cnf(i_0_815, plain, (X1=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk83_2(X1,X2)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.35 cnf(i_0_618, plain, (hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),X1)))=X1)).
% 21.80/3.35 cnf(i_0_1388, plain, (hBOOL(hAPP(fun(int,bool),bool,finite_finite(int),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1)))|~hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1)))).
% 21.80/3.35 cnf(i_0_1351, plain, (~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_1412, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(nat,X1,semiring_1_of_nat(X1),X2))))).
% 21.80/3.35 cnf(i_0_536, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X2))|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_649, plain, (hBOOL(hAPP(nat,bool,X1,X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk50_3(X1,X2,X3)),X3))|~hBOOL(hAPP(nat,bool,X1,X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))).
% 21.80/3.35 cnf(i_0_1273, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk103_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3)))).
% 21.80/3.35 cnf(i_0_1470, plain, (~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,abs_abs(X1),X2)),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_1549, plain, (hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,X1))))|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_145, plain, (hAPP(nat,nat,suc,esk5_2(X1,X2))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.35 cnf(i_0_692, plain, (hAPP(nat,nat,suc,esk60_2(X2,X1))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X2)),X1)))).
% 21.80/3.35 cnf(i_0_109, plain, (X1=hAPP(nat,nat,suc,X2)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.35 cnf(i_0_115, plain, (X1=hAPP(nat,nat,suc,X2)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.35 cnf(i_0_1738, hypothesis, (~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(x_a,fun(fun(x_a,bool),bool),member(x_a),hAPP(pname,x_a,mgt_call,pn)),g)))).
% 21.80/3.35 cnf(i_0_550, plain, (hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_82, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))=hAPP(nat,nat,suc,hAPP(fun(X1,bool),nat,finite_card(X1),X2))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_80, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))=hAPP(nat,nat,suc,hAPP(fun(X1,bool),nat,finite_card(X1),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3)))).
% 21.80/3.35 cnf(i_0_1440, plain, (hAPP(X1,X1,hAPP(nat,fun(X1,X1),hAPP(fun(X1,X1),fun(nat,fun(X1,X1)),semiri532925092at_aux(X1),X2),hAPP(nat,nat,suc,X3)),X4)=hAPP(X1,X1,hAPP(nat,fun(X1,X1),hAPP(fun(X1,X1),fun(nat,fun(X1,X1)),semiri532925092at_aux(X1),X2),X3),hAPP(X1,X1,X2,X4))|~semiring_1(X1))).
% 21.80/3.35 cnf(i_0_74, plain, (hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),X4),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_87, plain, (hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less_eq(nat)),X1)))=hAPP(nat,nat,suc,X1))).
% 21.80/3.35 cnf(i_0_1594, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,X1)),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))).
% 21.80/3.35 cnf(i_0_1600, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,X1)),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))).
% 21.80/3.35 cnf(i_0_627, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_630, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_633, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_163, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))))).
% 21.80/3.35 cnf(i_0_1468, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,abs_abs(X1),X2)),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_85, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,X2)),X1)=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_863, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),esk84_3(X3,X1,X2))=X1|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))).
% 21.80/3.35 cnf(i_0_869, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),esk85_3(X3,X1,X2))=X1|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))).
% 21.80/3.35 cnf(i_0_664, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_665, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_239, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_1201, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),X1)),X1)!=zero_zero(int))).
% 21.80/3.35 cnf(i_0_171, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)))).
% 21.80/3.35 cnf(i_0_584, plain, (hAPP(nat,nat,suc,X1)=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_206, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))))).
% 21.80/3.35 cnf(i_0_1485, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X3)),X2)=hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_437, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))).
% 21.80/3.35 cnf(i_0_402, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))).
% 21.80/3.35 cnf(i_0_1182, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),X3)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)))).
% 21.80/3.35 cnf(i_0_1213, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)),X3)=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3)))).
% 21.80/3.35 cnf(i_0_1189, plain, (hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),X3)=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3)))).
% 21.80/3.35 cnf(i_0_439, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3))).
% 21.80/3.35 cnf(i_0_438, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3))).
% 21.80/3.35 cnf(i_0_347, plain, (hBOOL(hAPP(com,bool,wt,hAPP(option(com),com,the_1(com),hAPP(pname,option(com),body,X1))))|~hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),X1),u)))).
% 21.80/3.35 cnf(i_0_144, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,suc,esk4_3(X2,X1,X3))))|hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,X1,X3)))).
% 21.80/3.35 cnf(i_0_316, plain, (hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),hAPP(X4,fun(X1,X4),combk(X4,X1),X5)),X3)=hAPP(fun(X4,bool),fun(X4,bool),hAPP(X4,fun(fun(X4,bool),fun(X4,bool)),insert(X4),X5),bot_bot(fun(X4,bool)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_862, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,X1,esk84_3(X1,X2,X3))))).
% 21.80/3.35 cnf(i_0_868, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,X1,esk85_3(X1,X2,X3))))).
% 21.80/3.35 cnf(i_0_1734, hypothesis, (hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))))).
% 21.80/3.35 cnf(i_0_336, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk25_3(X1,X2,X3)),esk26_3(X1,X2,X3))))).
% 21.80/3.35 cnf(i_0_81, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))=hAPP(fun(X1,bool),nat,finite_card(X1),X3)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_448, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)),X1)=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_459, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),hAPP(fun(X1,bool),nat,finite_card(X1),X2))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_736, plain, (hBOOL(hAPP(X1,bool,X2,esk81_3(X1,X3,X2)))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3))))).
% 21.80/3.35 cnf(i_0_573, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.35 cnf(i_0_635, plain, (X1=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,X2))))).
% 21.80/3.35 cnf(i_0_917, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4))|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_1011, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_391, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4))|~ab_semigroup_add(X1))).
% 21.80/3.35 cnf(i_0_916, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4))|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_974, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))|~ab_semigroup_mult(X1))).
% 21.80/3.35 cnf(i_0_1012, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_1090, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3))=zero_zero(X1)|hAPP(X1,X1,combi(X1),X3)!=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~linord581940658strict(X1))).
% 21.80/3.35 cnf(i_0_1099, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),one_one(X1))),X2)|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_597, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X4))|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X4)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_96, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1218, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1405, plain, (hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,semiring_1_of_nat(int),X2)),hAPP(nat,int,semiring_1_of_nat(int),X1))=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1407, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X3)),hAPP(nat,X1,semiring_1_of_nat(X1),X2))=hAPP(nat,X1,semiring_1_of_nat(X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2))|~ring_1(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))).
% 21.80/3.35 cnf(i_0_525, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_558, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_556, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X2)))).
% 21.80/3.35 cnf(i_0_524, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_557, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_555, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4)))).
% 21.80/3.35 cnf(i_0_161, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X3))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_159, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4))|~preorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_789, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X2)!=zero_zero(X1)|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_790, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)!=zero_zero(X1)|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1514, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,number_number_of(int),X2)),zero_zero(int)))|hAPP(int,nat,number_number_of(nat),X1)!=hAPP(int,nat,number_number_of(nat),X2)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_571, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X4),X5)|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_572, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X4),X5)|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_232, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X4),X5)|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_233, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X4),X5)|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_709, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),esk71_4(X1,X3,X2,X4)))|~dense_linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4)))).
% 21.80/3.35 cnf(i_0_788, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X3)!=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_140, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.35 cnf(i_0_173, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.35 cnf(i_0_735, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3)),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)))|~hBOOL(hAPP(X1,bool,X2,esk81_3(X1,X2,X3))))).
% 21.80/3.35 cnf(i_0_178, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X2)=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3))).
% 21.80/3.35 cnf(i_0_374, plain, (hAPP(fun(X1,bool),X1,X3,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))=hAPP(X1,X1,combi(X1),X4)|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite_folding_one(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_656, plain, (~ord(X2)|~hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less(fun(X1,X2)),X4),X3))|~hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less_eq(fun(X1,X2)),X3),X4)))).
% 21.80/3.35 cnf(i_0_1550, plain, (hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1)))|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,X1)))))).
% 21.80/3.35 cnf(i_0_1539, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X1)),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),X2)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_483, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_578, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_111, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1596, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1598, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1589, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1591, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_287, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.35 cnf(i_0_1544, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X1)),hAPP(int,nat,number_number_of(nat),X1)))=hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,X1))|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_271, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_1368, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1380, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1183, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,number_number_of(int),X1)),hAPP(int,int,number_number_of(int),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1370, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1382, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1190, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,number_number_of(int),X1)),hAPP(int,int,number_number_of(int),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_353, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3)),X3)=hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3))).
% 21.80/3.35 cnf(i_0_1595, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,X1)),pls)))).
% 21.80/3.35 cnf(i_0_1601, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,X1)),pls)))).
% 21.80/3.35 cnf(i_0_587, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.35 cnf(i_0_626, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.35 cnf(i_0_631, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.35 cnf(i_0_636, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.35 cnf(i_0_108, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.35 cnf(i_0_1364, plain, (hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),hAPP(nat,X3,semiring_1_of_nat(X3),X1)),hAPP(nat,X3,semiring_1_of_nat(X3),X2)))|~linordered_semidom(X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1362, plain, (hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less_eq(X3),hAPP(nat,X3,semiring_1_of_nat(X3),X1)),hAPP(nat,X3,semiring_1_of_nat(X3),X2)))|~linordered_semidom(X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1366, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),hAPP(nat,X1,semiring_1_of_nat(X1),X3)))|~linordered_semidom(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3)))).
% 21.80/3.35 cnf(i_0_983, plain, (hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),hAPP(int,X3,number_number_of(X3),X1)),hAPP(int,X3,number_number_of(X3),X2)))|~linordered_idom(X3)|~number_ring(X3)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_994, plain, (hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less_eq(X3),hAPP(int,X3,number_number_of(X3),X1)),hAPP(int,X3,number_number_of(X3),X2)))|~linordered_idom(X3)|~number_ring(X3)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_693, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),esk60_2(X1,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.35 cnf(i_0_594, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_600, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_593, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_599, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_428, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_461, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_427, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_462, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1234, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1228, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1220, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_834, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_829, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_830, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_1209, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_1489, plain, (hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3)))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3))|~ordere142940540dd_abs(X1))).
% 21.80/3.35 cnf(i_0_325, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X4))|hBOOL(hAPP(fun(X1,bool),bool,X2,esk22_4(X1,X2,X3,X4)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X3)))).
% 21.80/3.35 cnf(i_0_328, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X4))|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),esk22_4(X1,X2,X3,X4)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X3)))).
% 21.80/3.35 cnf(i_0_1479, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,abs_abs(X1),X2)),X3)))).
% 21.80/3.35 cnf(i_0_138, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_183, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_718, plain, (hAPP(fun(sum_sum(X1,X3),bool),nat,finite_card(sum_sum(X1,X3)),hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X2)),hAPP(fun(X3,bool),nat,finite_card(X3),X4))|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_732, plain, (hAPP(fun(sum_sum(X1,X3),bool),nat,finite_card(sum_sum(X1,X3)),hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X2)),hAPP(fun(X3,bool),nat,finite_card(X3),X4))|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_1553, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),hAPP(int,X1,number_number_of(X1),X2))),hAPP(int,X1,number_number_of(X1),X2))=hAPP(int,X1,number_number_of(X1),hAPP(int,int,bit1,X2))|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_125, plain, (X1=X3|hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))).
% 21.80/3.35 cnf(i_0_864, plain, (hBOOL(hAPP(nat,bool,X4,X3))|X1!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)|~hBOOL(hAPP(nat,bool,X4,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))).
% 21.80/3.35 cnf(i_0_870, plain, (hBOOL(hAPP(nat,bool,X4,X3))|X1!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)|~hBOOL(hAPP(nat,bool,X4,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))).
% 21.80/3.35 cnf(i_0_794, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_783, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_214, plain, (hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X5))=hAPP(fun(X2,bool),fun(X2,bool),hAPP(X2,fun(fun(X2,bool),fun(X2,bool)),insert(X2),hAPP(X1,X2,X3,X4)),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X5)))).
% 21.80/3.35 cnf(i_0_179, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X4)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4))).
% 21.80/3.35 cnf(i_0_708, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk71_4(X1,X2,X3,X4)),X4))|~dense_linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4)))).
% 21.80/3.35 cnf(i_0_655, plain, (hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less(fun(X1,X2)),X3),X4))|hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less_eq(fun(X1,X2)),X4),X3))|~ord(X2)|~hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less_eq(fun(X1,X2)),X3),X4)))).
% 21.80/3.35 cnf(i_0_100, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),X2))).
% 21.80/3.35 cnf(i_0_970, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))).
% 21.80/3.35 cnf(i_0_963, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))).
% 21.80/3.35 cnf(i_0_1193, plain, (hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X3))=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),X3)))).
% 21.80/3.35 cnf(i_0_1194, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X3))=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3)))).
% 21.80/3.35 cnf(i_0_129, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X1)))).
% 21.80/3.35 cnf(i_0_11, plain, (hAPP(fun(fun(X1,fun(X1,X1)),fun(X1,fun(fun(X2,X1),fun(fun(fun(X2,bool),X1),bool)))),fun(fun(X1,fun(X1,X1)),fun(X1,fun(fun(X2,X1),fun(fun(fun(X2,bool),X1),bool)))),combi(fun(fun(X1,fun(X1,X1)),fun(X1,fun(fun(X2,X1),fun(fun(fun(X2,bool),X1),bool))))),finite1357897459simple(X1,X2))=finite1357897459simple(X1,X2))).
% 21.80/3.35 cnf(i_0_12, plain, (hAPP(fun(fun(X1,fun(X1,X1)),fun(X1,fun(fun(X2,X1),fun(fun(fun(X2,bool),X1),bool)))),fun(fun(X1,fun(X1,X1)),fun(X1,fun(fun(X2,X1),fun(fun(fun(X2,bool),X1),bool)))),combi(fun(fun(X1,fun(X1,X1)),fun(X1,fun(fun(X2,X1),fun(fun(fun(X2,bool),X1),bool))))),finite908156982e_idem(X1,X2))=finite908156982e_idem(X1,X2))).
% 21.80/3.35 cnf(i_0_685, plain, (hAPP(fun(nat,bool),fun(X1,bool),hAPP(fun(nat,X1),fun(fun(nat,bool),fun(X1,bool)),image(nat,X1),esk55_2(X1,X2)),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),esk54_2(X1,X2))))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_105, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))))).
% 21.80/3.35 cnf(i_0_116, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.35 cnf(i_0_203, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),hAPP(X1,X2,X3,X5)),hAPP(X1,X2,X4,X5)))|~ord(X2)|~hBOOL(hAPP(fun(X1,X2),bool,hAPP(fun(X1,X2),fun(fun(X1,X2),bool),ord_less_eq(fun(X1,X2)),X3),X4)))).
% 21.80/3.35 cnf(i_0_204, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,X5)),hAPP(X2,X1,X4,X5)))|~ord(X1)|~hBOOL(hAPP(fun(X2,X1),bool,hAPP(fun(X2,X1),fun(fun(X2,X1),bool),ord_less_eq(fun(X2,X1)),X3),X4)))).
% 21.80/3.35 cnf(i_0_205, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,X5)),hAPP(X2,X1,X4,X5)))|~ord(X1)|~hBOOL(hAPP(fun(X2,X1),bool,hAPP(fun(X2,X1),fun(fun(X2,X1),bool),ord_less_eq(fun(X2,X1)),X3),X4)))).
% 21.80/3.35 cnf(i_0_694, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_139, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_188, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_190, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_189, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4)))).
% 21.80/3.35 cnf(i_0_281, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))|hAPP(X1,X1,combi(X1),X4)!=hAPP(X1,X1,combi(X1),X5)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.35 cnf(i_0_282, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),bot_bot(fun(X1,bool))))|hAPP(X1,X1,combi(X1),X4)!=hAPP(X1,X1,combi(X1),X5)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3))).
% 21.80/3.35 cnf(i_0_723, plain, (hBOOL(hAPP(fun(sum_sum(X1,X3),bool),bool,finite_finite(sum_sum(X1,X3)),hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4)))|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_724, plain, (hBOOL(hAPP(fun(sum_sum(X1,X3),bool),bool,finite_finite(sum_sum(X1,X3)),hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4)))|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_915, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),X3)|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_1013, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),X3)|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_1017, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4))|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_932, plain, (hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(int,nat,number_number_of(nat),X1)),one_one(nat)))=hAPP(int,nat,number_number_of(nat),X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(int,nat,number_number_of(nat),X1))))).
% 21.80/3.35 cnf(i_0_1098, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X3)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),one_one(X1))),X3)|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_1387, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),X1))|~hBOOL(hAPP(fun(int,bool),bool,finite_finite(int),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1))))).
% 21.80/3.35 cnf(i_0_215, plain, (hAPP(fun(X4,bool),fun(X4,bool),hAPP(X4,fun(fun(X4,bool),fun(X4,bool)),insert(X4),hAPP(X1,X4,X5,X2)),hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X5),X3))=hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X5),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_177, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X4)|hBOOL(hAPP(X1,bool,X3,X4))|~hBOOL(hAPP(X1,bool,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3),X4)))).
% 21.80/3.35 cnf(i_0_1585, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,hAPP(int,int,bit1,pls))))))).
% 21.80/3.35 cnf(i_0_1506, plain, (hAPP(int,nat,number_number_of(nat),X1)=hAPP(int,nat,number_number_of(nat),X2)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,number_number_of(int),X2)),zero_zero(int))))).
% 21.80/3.35 cnf(i_0_585, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_579, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2))))).
% 21.80/3.35 cnf(i_0_588, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2))))).
% 21.80/3.35 cnf(i_0_112, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),hAPP(nat,nat,suc,X2))))).
% 21.80/3.35 cnf(i_0_1597, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2))))).
% 21.80/3.35 cnf(i_0_1599, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2))))).
% 21.80/3.35 cnf(i_0_1590, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2))))).
% 21.80/3.35 cnf(i_0_1592, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,bit1,X1)),hAPP(int,int,bit1,X2))))).
% 21.80/3.35 cnf(i_0_865, plain, (hBOOL(hAPP(nat,bool,X3,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))).
% 21.80/3.35 cnf(i_0_871, plain, (hBOOL(hAPP(nat,bool,X3,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))).
% 21.80/3.35 cnf(i_0_1369, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))))).
% 21.80/3.35 cnf(i_0_1381, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))))).
% 21.80/3.35 cnf(i_0_1371, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))))).
% 21.80/3.35 cnf(i_0_1383, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))))).
% 21.80/3.35 cnf(i_0_1184, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,number_number_of(int),X1)),hAPP(int,int,number_number_of(int),X2))))).
% 21.80/3.35 cnf(i_0_1191, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,number_number_of(int),X1)),hAPP(int,int,number_number_of(int),X2))))).
% 21.80/3.35 cnf(i_0_440, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X1)),X2)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_445, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)),X1)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_451, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)),X1)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_695, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_659, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_660, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4)))).
% 21.80/3.35 cnf(i_0_191, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_260, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))).
% 21.80/3.35 cnf(i_0_623, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X1)))))).
% 21.80/3.35 cnf(i_0_622, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)))))).
% 21.80/3.35 cnf(i_0_637, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),hAPP(nat,nat,suc,X1))))).
% 21.80/3.35 cnf(i_0_1503, plain, (hAPP(int,nat,number_number_of(nat),X1)=hAPP(int,nat,number_number_of(nat),X2)|hAPP(int,int,number_number_of(int),X2)!=zero_zero(int)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,number_number_of(int),X1)),zero_zero(int))))).
% 21.80/3.35 cnf(i_0_1365, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),hAPP(nat,X1,semiring_1_of_nat(X1),X3))))).
% 21.80/3.35 cnf(i_0_1367, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),hAPP(nat,X1,semiring_1_of_nat(X1),X3))))).
% 21.80/3.35 cnf(i_0_1363, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),hAPP(nat,X1,semiring_1_of_nat(X1),X3))))).
% 21.80/3.35 cnf(i_0_984, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~linordered_idom(X1)|~number_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))))).
% 21.80/3.35 cnf(i_0_995, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3))|~linordered_idom(X1)|~number_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))))).
% 21.80/3.35 cnf(i_0_141, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_172, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_180, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_880, plain, (X1=zero_zero(nat)|hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2))).
% 21.80/3.35 cnf(i_0_1221, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),one_one(int)))))).
% 21.80/3.35 cnf(i_0_1229, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),one_one(int)))))).
% 21.80/3.35 cnf(i_0_835, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))).
% 21.80/3.35 cnf(i_0_1235, plain, (X1=X2|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),one_one(int)))))).
% 21.80/3.35 cnf(i_0_1113, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1))))).
% 21.80/3.35 cnf(i_0_1114, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2))))).
% 21.80/3.35 cnf(i_0_1538, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,succ,X1))),X2)=hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X1)),X2))|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_1324, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,X1,esk114_3(X2,X1,X3)))|~hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk115_3(X2,X1,X3)),one_one(int)))))).
% 21.80/3.35 cnf(i_0_1322, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,X1,esk115_3(X2,X1,X3)))|~hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),esk114_3(X2,X1,X3)),one_one(int)))))).
% 21.80/3.35 cnf(i_0_668, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X3)),hAPP(fun(X1,bool),nat,finite_card(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),X2)))).
% 21.80/3.35 cnf(i_0_77, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X3)),hAPP(fun(X1,bool),nat,finite_card(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2)))).
% 21.80/3.35 cnf(i_0_384, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X4)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),X1,X3,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,X5),hAPP(fun(X1,bool),X1,X3,X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite2073411215e_idem(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_1091, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2))!=zero_zero(X1)|~linord581940658strict(X1))).
% 21.80/3.35 cnf(i_0_1092, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3))!=zero_zero(X1)|~linord581940658strict(X1))).
% 21.80/3.35 cnf(i_0_928, plain, (hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),X3),X4),X5),bot_bot(fun(X1,bool)))=hAPP(X2,X2,combi(X2),X5))).
% 21.80/3.35 cnf(i_0_689, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk57_3(X1,X2,X3)),esk58_3(X1,X2,X3)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,X3,X1)),hAPP(nat,nat,X3,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1089, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hAPP(X1,X1,combi(X1),X5)=hAPP(X1,X1,combi(X1),X6)|hAPP(X1,X1,combi(X1),X3)!=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X5))!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X6))|~semiri456707255roduct(X1))).
% 21.80/3.35 cnf(i_0_322, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X3)),hAPP(fun(X1,bool),nat,finite_card(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_795, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2))))).
% 21.80/3.35 cnf(i_0_784, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2))))).
% 21.80/3.35 cnf(i_0_1028, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(int,X1,number_number_of(X1),X3)),hAPP(int,X1,number_number_of(X1),X2)))|~number(X1)|~linorder(X1))).
% 21.80/3.35 cnf(i_0_1556, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,hAPP(int,int,bit1,pls)))),X1)=hAPP(nat,nat,suc,hAPP(nat,nat,suc,hAPP(nat,nat,suc,X1))))).
% 21.80/3.35 cnf(i_0_1481, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X3)),hAPP(X1,X1,abs_abs(X1),X2))=hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))|~ordered_ring_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_1482, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X3)),hAPP(X1,X1,abs_abs(X1),X2))=hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))|~ordered_ring_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1483, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X3)),hAPP(X1,X1,abs_abs(X1),X2))=hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))|~ordered_ring_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))).
% 21.80/3.35 cnf(i_0_1484, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X3)),hAPP(X1,X1,abs_abs(X1),X2))=hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))|~ordered_ring_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1173, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),X2)),X2)!=zero_zero(X1)|~ring_char_0(X1)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1))))).
% 21.80/3.35 cnf(i_0_273, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)),X3)=hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X4),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_275, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)),X3)=hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X4),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_1277, plain, (hBOOL(hAPP(int,bool,X1,X3))|hBOOL(hAPP(int,bool,X1,esk105_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),one_one(int)))))).
% 21.80/3.35 cnf(i_0_1269, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,X1,esk102_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X3),one_one(int)))))).
% 21.80/3.35 cnf(i_0_969, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3))).
% 21.80/3.35 cnf(i_0_962, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3))).
% 21.80/3.35 cnf(i_0_1192, plain, (hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X1),X2)),X3))).
% 21.80/3.35 cnf(i_0_1196, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))=hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)),X3))).
% 21.80/3.35 cnf(i_0_1517, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X2)),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X2)),X3)|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_1171, plain, (X1=zero_zero(nat)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),one_one(nat))),X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2))).
% 21.80/3.35 cnf(i_0_456, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,X5),hAPP(fun(X1,bool),X1,X3,X4))=hAPP(fun(X1,bool),X1,X3,X4)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X5),X4))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite2073411215e_idem(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_327, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk21_4(X1,X2,X3,X4)),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X3)))).
% 21.80/3.35 cnf(i_0_212, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_1413, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),nat_tsub,X1),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_259, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_1112, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_1284, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_1282, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_272, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3))))).
% 21.80/3.35 cnf(i_0_1021, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X4)|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_954, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),X4)|~comm_semiring(X1))).
% 21.80/3.35 cnf(i_0_1022, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),X3)|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_707, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X2))|~dense_linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),esk71_4(X1,X2,X3,X4)),X2)))).
% 21.80/3.35 cnf(i_0_200, plain, (hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),hAPP(fun(X4,bool),fun(X1,bool),hAPP(fun(X4,X1),fun(fun(X4,bool),fun(X1,bool)),image(X4,X1),X5),X6))=hAPP(fun(X4,bool),fun(X2,bool),hAPP(fun(X4,X2),fun(fun(X4,bool),fun(X2,bool)),image(X4,X2),hAPP(fun(X4,X1),fun(X4,X2),hAPP(fun(X1,X2),fun(fun(X4,X1),fun(X4,X2)),combb(X1,X2,X4),X3),X5)),X6))).
% 21.80/3.35 cnf(i_0_923, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linordered_field(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),esk99_3(X1,X2,X3)))))).
% 21.80/3.35 cnf(i_0_800, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_846, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_845, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_792, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X2)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_791, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1083, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_1033, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_1042, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_1053, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_366, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))))=hAPP(fun(X1,bool),nat,finite_card(X1),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3)))).
% 21.80/3.35 cnf(i_0_1093, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X2)))).
% 21.80/3.35 cnf(i_0_798, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_844, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_843, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))).
% 21.80/3.35 cnf(i_0_1075, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_787, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1046, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~ordere453448008miring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1034, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1054, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_194, plain, (hBOOL(hAPP(fun(X4,bool),bool,hAPP(X4,fun(fun(X4,bool),bool),member(X4),X5),hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X6),X3)))|hAPP(X4,X4,combi(X4),X5)!=hAPP(X1,X4,X6,X2)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_198, plain, (hBOOL(hAPP(fun(X4,bool),bool,hAPP(X4,fun(fun(X4,bool),bool),member(X4),X5),hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X6),X3)))|hAPP(X4,X4,combi(X4),X5)!=hAPP(X1,X4,X6,X2)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_137, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X6)))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X3,X1,X4,X5)|~hBOOL(hAPP(fun(X3,bool),bool,hAPP(X3,fun(fun(X3,bool),bool),member(X3),X5),X6)))).
% 21.80/3.35 cnf(i_0_1416, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2))))|~hBOOL(hAPP(int,bool,X1,zero_zero(int))))).
% 21.80/3.35 cnf(i_0_1327, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),esk114_3(X2,X1,X3)))|~hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk115_3(X2,X1,X3)),one_one(int)))))).
% 21.80/3.35 cnf(i_0_1262, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),X3))|hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X3))!=X1|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.35 cnf(i_0_280, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))).
% 21.80/3.35 cnf(i_0_288, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))).
% 21.80/3.35 cnf(i_0_1263, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),one_one(int)))|hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X3))!=X1|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2)))).
% 21.80/3.35 cnf(i_0_696, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk61_3(X1,X2,X3)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_452, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)),X3)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)),X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_453, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)),X3)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)),X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_612, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1208, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X1),X2)),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1230, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),one_one(int))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1232, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),one_one(int))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1323, plain, (hBOOL(hAPP(int,bool,X2,X1))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk115_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,X2,X3))|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),esk114_3(X1,X2,X3)),one_one(int)))))).
% 21.80/3.35 cnf(i_0_721, plain, (hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X4))|~hBOOL(hAPP(fun(sum_sum(X1,X2),bool),bool,finite_finite(sum_sum(X1,X2)),hAPP(fun(X2,bool),fun(sum_sum(X1,X2),bool),hAPP(fun(X1,bool),fun(fun(X2,bool),fun(sum_sum(X1,X2),bool)),sum_Plus(X1,X2),X3),X4))))).
% 21.80/3.35 cnf(i_0_722, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(sum_sum(X1,X2),bool),bool,finite_finite(sum_sum(X1,X2)),hAPP(fun(X2,bool),fun(sum_sum(X1,X2),bool),hAPP(fun(X1,bool),fun(fun(X2,bool),fun(sum_sum(X1,X2),bool)),sum_Plus(X1,X2),X3),X4))))).
% 21.80/3.35 cnf(i_0_725, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(sum_sum(X3,X1),bool),bool,finite_finite(sum_sum(X3,X1)),hAPP(fun(X1,bool),fun(sum_sum(X3,X1),bool),hAPP(fun(X3,bool),fun(fun(X1,bool),fun(sum_sum(X3,X1),bool)),sum_Plus(X3,X1),X4),X2))))).
% 21.80/3.35 cnf(i_0_726, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(sum_sum(X1,X3),bool),bool,finite_finite(sum_sum(X1,X3)),hAPP(fun(X3,bool),fun(sum_sum(X1,X3),bool),hAPP(fun(X1,bool),fun(fun(X3,bool),fun(sum_sum(X1,X3),bool)),sum_Plus(X1,X3),X2),X4))))).
% 21.80/3.35 cnf(i_0_1278, plain, (hBOOL(hAPP(int,bool,X2,X3))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),esk105_3(X2,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X3))|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),one_one(int)))))).
% 21.80/3.35 cnf(i_0_276, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X4),X2))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_274, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)),X3)=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X4),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_831, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2))))).
% 21.80/3.35 cnf(i_0_804, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),zero_zero(X1)))|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_802, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),zero_zero(X1)))|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_899, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)),zero_zero(X1)))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_796, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)),zero_zero(X1)))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_785, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)),zero_zero(X1)))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_1270, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk102_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X3),one_one(int)))))).
% 21.80/3.35 cnf(i_0_1279, plain, (hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),esk106_3(X1,X2,X3)),one_one(int)))))).
% 21.80/3.35 cnf(i_0_1271, plain, (hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk103_3(X1,X2,X3)),one_one(int)))))).
% 21.80/3.35 cnf(i_0_1057, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))))).
% 21.80/3.35 cnf(i_0_1056, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3))))).
% 21.80/3.35 cnf(i_0_1055, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2))))).
% 21.80/3.35 cnf(i_0_1058, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3))))).
% 21.80/3.35 cnf(i_0_1417, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|hBOOL(hAPP(int,bool,X3,hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)))))).
% 21.80/3.35 cnf(i_0_1434, plain, (hBOOL(hAPP(fun(int,bool),bool,hAPP(int,fun(fun(int,bool),bool),member(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X2)))|~hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1516, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X1)),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X2)),X3)|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X2)))|~hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.35 cnf(i_0_377, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X4)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),X1,X3,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,X5),hAPP(fun(X1,bool),X1,X3,X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X5),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite_folding_one(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_967, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X1)))))).
% 21.80/3.35 cnf(i_0_1177, plain, (hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X3),one_one(X2)),X4)=one_one(X2)|hAPP(X1,X2,X3,esk101_4(X1,X2,X3,X4))!=one_one(X2)|~comm_monoid_mult(X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4)))).
% 21.80/3.35 cnf(i_0_258, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_285, plain, (hAPP(X1,X1,combi(X1),X3)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),bot_bot(fun(X1,bool))))!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))))).
% 21.80/3.35 cnf(i_0_284, plain, (hAPP(X1,X1,combi(X1),X3)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))))).
% 21.80/3.35 cnf(i_0_283, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))))).
% 21.80/3.35 cnf(i_0_286, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X5),bot_bot(fun(X1,bool))))!=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))))).
% 21.80/3.35 cnf(i_0_1736, hypothesis, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(x_a,bool),nat,finite_card(x_a),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),hAPP(nat,nat,suc,na))=hAPP(fun(x_a,bool),nat,finite_card(x_a),g))).
% 21.80/3.35 cnf(i_0_123, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X1))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_197, plain, (hBOOL(hAPP(fun(X4,bool),bool,hAPP(X4,fun(fun(X4,bool),bool),member(X4),hAPP(X1,X4,X5,X2)),hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X5),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_350, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_354, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_457, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X1)),hAPP(nat,nat,suc,X2))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_262, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X4)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))).
% 21.80/3.35 cnf(i_0_1014, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5)))|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_914, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X5))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X5))|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_1016, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5))|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_464, plain, (hAPP(fun(X1,bool),X1,hAPP(X1,fun(fun(X1,bool),X1),partial_flat_lub(X1),X3),X2)=hAPP(X1,X1,combi(X1),X3)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))).
% 21.80/3.35 cnf(i_0_617, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(nat,bool),fun(X1,bool),hAPP(fun(nat,X1),fun(fun(nat,bool),fun(X1,bool)),image(nat,X1),X3),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),X4))))).
% 21.80/3.35 cnf(i_0_684, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)!=hAPP(fun(nat,bool),fun(X1,bool),hAPP(fun(nat,X1),fun(fun(nat,bool),fun(X1,bool)),image(nat,X1),X3),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),X4))))).
% 21.80/3.35 cnf(i_0_383, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X5)=bot_bot(fun(X1,bool))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,hAPP(fun(X1,bool),X1,X3,X5)),hAPP(fun(X1,bool),X1,X3,X4))=hAPP(fun(X1,bool),X1,X3,X4)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X5),X4))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite2073411215e_idem(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_210, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_267, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_484, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),X1)))))).
% 21.80/3.35 cnf(i_0_86, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less_eq(nat)),X1)))))).
% 21.80/3.35 cnf(i_0_278, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3)),X2)))).
% 21.80/3.35 cnf(i_0_388, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),esk37_3(X1,X2,X3))!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk35_3(X1,X2,X3)),bot_bot(fun(X1,bool))))))).
% 21.80/3.35 cnf(i_0_386, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|hBOOL(hAPP(fun(X1,bool),bool,X2,esk37_3(X1,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk35_3(X1,X2,X3)),bot_bot(fun(X1,bool))))))).
% 21.80/3.35 cnf(i_0_389, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),esk37_3(X1,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk35_3(X1,X2,X3)),bot_bot(fun(X1,bool))))))).
% 21.80/3.35 cnf(i_0_142, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4))))).
% 21.80/3.35 cnf(i_0_174, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4))))).
% 21.80/3.35 cnf(i_0_1078, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3))))).
% 21.80/3.35 cnf(i_0_1079, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3))))).
% 21.80/3.35 cnf(i_0_334, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk25_3(X1,X2,X3)),esk26_3(X1,X2,X3)))))).
% 21.80/3.35 cnf(i_0_130, plain, (hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X3,bool),bool,hAPP(fun(X3,bool),fun(fun(X3,bool),bool),ord_less_eq(fun(X3,bool)),X4),hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),X5),X2))))).
% 21.80/3.35 cnf(i_0_1523, plain, (hAPP(nat,int,X1,esk144_3(X2,X1,X3))=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk143_3(X2,X1,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,zero_zero(nat))),X2)))).
% 21.80/3.35 cnf(i_0_1527, plain, (hAPP(nat,int,X1,esk146_3(X2,X1,X3))=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk145_3(X2,X1,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,zero_zero(nat))),X2)))).
% 21.80/3.35 cnf(i_0_314, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))).
% 21.80/3.35 cnf(i_0_925, plain, (hAPP(fun(X1,bool),nat,hAPP(nat,fun(fun(X1,bool),nat),hAPP(fun(X1,nat),fun(nat,fun(fun(X1,bool),nat)),hAPP(fun(nat,fun(nat,nat)),fun(fun(X1,nat),fun(nat,fun(fun(X1,bool),nat))),finite_fold_image(nat,X1),plus_plus(nat)),hAPP(nat,fun(X1,nat),combk(nat,X1),one_one(nat))),zero_zero(nat)),X2)=hAPP(fun(X1,bool),nat,finite_card(X1),X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_927, plain, (hAPP(fun(X1,bool),nat,hAPP(nat,fun(fun(X1,bool),nat),hAPP(fun(X1,nat),fun(nat,fun(fun(X1,bool),nat)),hAPP(fun(nat,fun(nat,nat)),fun(fun(X1,nat),fun(nat,fun(fun(X1,bool),nat))),finite_fold_image(nat,X1),plus_plus(nat)),hAPP(nat,fun(X1,nat),combk(nat,X1),one_one(nat))),zero_zero(nat)),X2)=hAPP(fun(X1,bool),nat,finite_card(X1),X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_349, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X4))))).
% 21.80/3.35 cnf(i_0_352, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X4))))).
% 21.80/3.35 cnf(i_0_356, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X4))))).
% 21.80/3.35 cnf(i_0_1018, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X2))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~semiri456707255roduct(X1))).
% 21.80/3.35 cnf(i_0_1023, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X2))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~semiri456707255roduct(X1))).
% 21.80/3.35 cnf(i_0_1019, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X5)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~semiri456707255roduct(X1))).
% 21.80/3.35 cnf(i_0_1024, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X5)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,combi(X1),X3)|~semiri456707255roduct(X1))).
% 21.80/3.35 cnf(i_0_235, plain, (hBOOL(hAPP(nat,bool,hAPP(fun(nat,bool),fun(nat,bool),hAPP(bool,fun(fun(nat,bool),fun(nat,bool)),nat_case(bool),fFalse),hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2)))).
% 21.80/3.35 cnf(i_0_119, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,X1)),X2)),hAPP(nat,nat,suc,X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3))).
% 21.80/3.35 cnf(i_0_216, plain, (hBOOL(hAPP(fun(X4,bool),bool,hAPP(fun(X4,bool),fun(fun(X4,bool),bool),ord_less_eq(fun(X4,bool)),X5),hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X6),X3)))|hAPP(fun(X4,bool),fun(X4,bool),combi(fun(X4,bool)),X5)!=hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X6),X2)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_590, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X2)))).
% 21.80/3.35 cnf(i_0_589, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X1)))).
% 21.80/3.35 cnf(i_0_136, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk3_4(X2,X1,X3,X4)),X4))|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X4))))).
% 21.80/3.35 cnf(i_0_674, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X4),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X4),X3)))).
% 21.80/3.35 cnf(i_0_78, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X2)),hAPP(fun(X1,bool),nat,finite_card(X1),X3))))).
% 21.80/3.35 cnf(i_0_1166, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1))))).
% 21.80/3.35 cnf(i_0_1163, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))))).
% 21.80/3.35 cnf(i_0_231, plain, (hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),esk16_2(X1,X2)),u))|hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,X1),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(com,x_a,mgt,X2)),bot_bot(fun(x_a,bool)))))|~hBOOL(hAPP(com,bool,wt,X2)))).
% 21.80/3.35 cnf(i_0_367, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool)))))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X3)),one_one(nat))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_368, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X2)),one_one(nat))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.35 cnf(i_0_1060, plain, (~linordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_836, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_195, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X3,X1,X4,esk7_5(X1,X3,X2,X4,X5))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X5))))).
% 21.80/3.35 cnf(i_0_221, plain, (hAPP(X1,X1,combi(X1),X2)=hAPP(X3,X1,X4,esk10_5(X1,X3,X2,X4,X5))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X5))))).
% 21.80/3.35 cnf(i_0_359, plain, (hAPP(fun(X1,bool),X1,X4,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))=hAPP(X1,X1,combi(X1),X3)|hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite_folding_one(X1),X5),X4)))).
% 21.80/3.35 cnf(i_0_1423, plain, (hAPP(X1,X1,hAPP(nat,fun(X1,X1),hAPP(fun(X1,X1),fun(nat,fun(X1,X1)),semiri532925092at_aux(X1),hAPP(X1,fun(X1,X1),hAPP(fun(X1,fun(X1,X1)),fun(X1,fun(X1,X1)),combc(X1,X1,X1),plus_plus(X1)),one_one(X1))),X2),zero_zero(X1))=hAPP(nat,X1,semiring_1_of_nat(X1),X2)|~semiring_1(X1))).
% 21.80/3.35 cnf(i_0_1735, hypothesis, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,na)),hAPP(fun(x_a,bool),nat,finite_card(x_a),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))))).
% 21.80/3.35 cnf(i_0_351, plain, (~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X4))))).
% 21.80/3.35 cnf(i_0_348, plain, (~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X4),X3))))).
% 21.80/3.35 cnf(i_0_355, plain, (~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X4),X3))))).
% 21.80/3.35 cnf(i_0_799, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),zero_zero(X1)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_848, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),zero_zero(X1)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_847, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),zero_zero(X1)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_793, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),zero_zero(X1)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_1077, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),zero_zero(X1)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1076, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1082, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3)))).
% 21.80/3.35 cnf(i_0_1044, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),zero_zero(X1)))|~ordere453448008miring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1032, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~ordere453448008miring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1045, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~ordere453448008miring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1031, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~ordere453448008miring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))).
% 21.80/3.35 cnf(i_0_1043, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~ordere453448008miring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))).
% 21.80/3.35 cnf(i_0_1048, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1047, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))).
% 21.80/3.35 cnf(i_0_997, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(int,X1,number_number_of(X1),X4))),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),hAPP(int,X1,number_number_of(X1),X4)))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),hAPP(int,X1,number_number_of(X1),X4))|~number(X1)|~ring(X1))).
% 21.80/3.35 cnf(i_0_1004, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),hAPP(int,X1,number_number_of(X1),X4))),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),hAPP(int,X1,number_number_of(X1),X4)))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(int,X1,number_number_of(X1),X4))|~semiring(X1)|~number(X1))).
% 21.80/3.35 cnf(i_0_677, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_326, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk21_4(X1,X2,X3,X4)),esk22_4(X1,X2,X3,X4))))).
% 21.80/3.35 cnf(i_0_1373, plain, (hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),X2)),X3))=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2))),X3))).
% 21.80/3.35 cnf(i_0_591, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_595, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_128, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_127, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_425, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_429, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_965, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1162, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_966, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1165, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1226, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X3)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1212, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X3),X1)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X3),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))).
% 21.80/3.35 cnf(i_0_1030, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(int,X1,number_number_of(X1),X3)),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3))),X4)|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_1003, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),X3)),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X3))),X4)|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_992, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X3)),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))),X4)|~number_ring(X1))).
% 21.80/3.35 cnf(i_0_1524, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk143_3(X1,X2,X3)),X3))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk144_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,zero_zero(nat))),X1)))).
% 21.80/3.35 cnf(i_0_1528, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk145_3(X1,X2,X3)),X3))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk146_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,zero_zero(nat))),X1)))).
% 21.80/3.35 cnf(i_0_1178, plain, (hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X3),one_one(X2)),X4)=one_one(X2)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk101_4(X1,X2,X3,X4)),X4))|~comm_monoid_mult(X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4)))).
% 21.80/3.35 cnf(i_0_361, plain, (hAPP(fun(X1,bool),X1,X4,X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))!=bot_bot(fun(X1,bool))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite_folding_one(X1),X5),X4)))).
% 21.80/3.35 cnf(i_0_211, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4))))).
% 21.80/3.35 cnf(i_0_269, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4))))).
% 21.80/3.35 cnf(i_0_458, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1))),X3)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,suc,X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_561, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3)))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_564, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_559, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4)))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_563, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_409, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3)))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_412, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3)))|~ordere779506340up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_407, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4)))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_411, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4)))|~ordere779506340up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.35 cnf(i_0_598, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3)))).
% 21.80/3.35 cnf(i_0_431, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3)))).
% 21.80/3.35 cnf(i_0_432, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3)))).
% 21.80/3.35 cnf(i_0_433, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X1)),X2)))).
% 21.80/3.35 cnf(i_0_434, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),X2)))).
% 21.80/3.35 cnf(i_0_1207, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X1),X2)),zero_zero(int))))).
% 21.80/3.35 cnf(i_0_1231, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),one_one(int))),X2)))).
% 21.80/3.35 cnf(i_0_234, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(fun(nat,bool),fun(nat,bool),hAPP(bool,fun(fun(nat,bool),fun(nat,bool)),nat_case(bool),fFalse),hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1)),X2)))).
% 21.80/3.35 cnf(i_0_683, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X3)),hAPP(fun(X1,bool),nat,finite_card(X1),X2))))).
% 21.80/3.35 cnf(i_0_1160, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1))))).
% 21.80/3.35 cnf(i_0_1161, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2))))).
% 21.80/3.35 cnf(i_0_79, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X2)),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.35 cnf(i_0_934, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),ring_1_Ints(X1)))|~ring_1(X1)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),ring_1_Ints(X1)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1))))).
% 21.80/3.35 cnf(i_0_999, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),ring_1_Ints(X1)))|~ring_1(X1)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),ring_1_Ints(X1)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1))))).
% 21.80/3.35 cnf(i_0_993, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),ring_1_Ints(X1)))|~ring_1(X1)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),ring_1_Ints(X1)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1))))).
% 21.80/3.35 cnf(i_0_857, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),hAPP(nat,nat,suc,X2))),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_803, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_801, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_217, plain, (hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),esk9_5(X1,X3,X2,X4,X5))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X5))))).
% 21.80/3.35 cnf(i_0_900, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_797, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_786, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~linord219039673up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X2)),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_1433, plain, (hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),X1),X2))|~hBOOL(hAPP(fun(int,bool),bool,hAPP(int,fun(fun(int,bool),bool),member(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X2))))).
% 21.80/3.35 cnf(i_0_1015, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X5))|~comm_semiring_1(X1))).
% 21.80/3.35 cnf(i_0_1029, plain, (~number(X1)|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(int,X1,number_number_of(X1),X3)),hAPP(int,X1,number_number_of(X1),X2)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(int,X1,number_number_of(X1),X3))))).
% 21.80/3.35 cnf(i_0_672, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.35 cnf(i_0_387, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk36_3(X1,X2,X3)),esk37_3(X1,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk35_3(X1,X2,X3)),bot_bot(fun(X1,bool))))))).
% 21.80/3.35 cnf(i_0_682, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X4),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))))).
% 21.80/3.35 cnf(i_0_1418, plain, (hBOOL(hAPP(int,bool,X3,zero_zero(int)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(int,bool,X3,hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)))))).
% 21.80/3.35 cnf(i_0_998, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X3),X4))|~number(X1)|~ring(X1))).
% 21.80/3.35 cnf(i_0_1002, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),X4))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(int,X1,number_number_of(X1),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X4))|~semiring(X1)|~number(X1))).
% 21.80/3.35 cnf(i_0_131, plain, (hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),esk1_5(X3,X1,X4,X5,X2))=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X3,bool),fun(X1,bool),hAPP(fun(X3,X1),fun(fun(X3,bool),fun(X1,bool)),image(X3,X1),X4),X5))))).
% 21.80/3.35 cnf(i_0_639, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3))))).
% 21.80/3.35 cnf(i_0_441, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3))))).
% 21.80/3.35 cnf(i_0_1535, plain, (hAPP(nat,int,X1,esk148_4(X2,X1,X3,X4))=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),esk147_4(X2,X1,X3,X4)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X4),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,X4)),X2)))).
% 21.80/3.35 cnf(i_0_1321, plain, (hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk115_3(X2,X1,X3)),one_one(int))))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),esk114_3(X2,X1,X3)),one_one(int)))))).
% 21.80/3.35 cnf(i_0_680, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4))))).
% 21.80/3.35 cnf(i_0_1146, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),X2))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),one_one(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1147, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X2))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),one_one(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.35 cnf(i_0_1276, plain, (hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),one_one(int))))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),esk105_3(X1,X2,X3)),one_one(int)))))).
% 21.80/3.35 cnf(i_0_1268, plain, (hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X3),one_one(int))))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk102_3(X1,X2,X3)),one_one(int)))))).
% 21.80/3.35 cnf(i_0_1156, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),X1)))).
% 21.80/3.35 cnf(i_0_1157, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),X1)))).
% 21.80/3.35 cnf(i_0_613, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_641, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X1)))).
% 21.80/3.35 cnf(i_0_596, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X4)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_430, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X4)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_964, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X4)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.35 cnf(i_0_1227, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X1),X3)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),X4)))).
% 21.80/3.35 cnf(i_0_1104, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))).
% 21.80/3.35 cnf(i_0_1242, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))).
% 21.80/3.35 cnf(i_0_1106, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_1105, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))).
% 21.80/3.35 cnf(i_0_1109, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))).
% 21.80/3.35 cnf(i_0_1244, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))).
% 21.80/3.35 cnf(i_0_1197, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X3),X1)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X3),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3)))).
% 21.80/3.35 cnf(i_0_1050, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_1049, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_1052, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_1051, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),zero_zero(X1))))).
% 21.80/3.35 cnf(i_0_688, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,X1,X2)),hAPP(nat,nat,X1,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,X1,esk57_3(X2,X3,X1))),hAPP(nat,nat,X1,esk58_3(X2,X3,X1)))))).
% 21.80/3.36 cnf(i_0_390, plain, (hAPP(fun(X1,bool),X1,the(X1),hAPP(fun(X1,fun(X1,bool)),fun(X1,bool),hAPP(fun(fun(X1,bool),bool),fun(fun(X1,fun(X1,bool)),fun(X1,bool)),combb(fun(X1,bool),bool,X1),hAPP(fun(X1,bool),fun(fun(X1,bool),bool),fequal(fun(X1,bool)),X2)),hAPP(fun(X1,bool),fun(X1,fun(X1,bool)),hAPP(fun(X1,fun(fun(X1,bool),fun(X1,bool))),fun(fun(X1,bool),fun(X1,fun(X1,bool))),combc(X1,fun(X1,bool),fun(X1,bool)),insert(X1)),bot_bot(fun(X1,bool)))))=hAPP(fun(X1,bool),X1,the_elem(X1),X2))).
% 21.80/3.36 cnf(i_0_1532, plain, (hAPP(nat,int,X1,esk148_4(X2,X1,X3,X4))=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk147_4(X2,X1,X3,X4)),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X4),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,X4)),X2)))).
% 21.80/3.36 cnf(i_0_1515, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),X1)),X3))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(int,nat,number_number_of(nat),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X2),X1))),X3)|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X2)))|hBOOL(hAPP(int,bool,nat_neg,hAPP(int,int,number_number_of(int),X1))))).
% 21.80/3.36 cnf(i_0_565, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X5)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))).
% 21.80/3.36 cnf(i_0_621, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X5)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.36 cnf(i_0_620, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X5)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5)))).
% 21.80/3.36 cnf(i_0_413, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X3),X5)))|~ordere779506340up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3)))).
% 21.80/3.36 cnf(i_0_1290, plain, (hBOOL(hAPP(int,bool,X1,esk108_3(X2,X1,X3)))|hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X4),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))))|~hBOOL(hAPP(int,bool,X1,X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2)))).
% 21.80/3.36 cnf(i_0_1316, plain, (hBOOL(hAPP(int,bool,X1,esk109_3(X2,X1,X3)))|hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X4),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))))|~hBOOL(hAPP(int,bool,X1,X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2)))).
% 21.80/3.36 cnf(i_0_1080, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),zero_zero(X1))))).
% 21.80/3.36 cnf(i_0_1088, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),zero_zero(X1))))).
% 21.80/3.36 cnf(i_0_1061, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1))))).
% 21.80/3.36 cnf(i_0_1087, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),zero_zero(X1))))).
% 21.80/3.36 cnf(i_0_1067, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1))))).
% 21.80/3.36 cnf(i_0_1037, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),zero_zero(X1))))).
% 21.80/3.36 cnf(i_0_1134, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),zero_zero(X1))))).
% 21.80/3.36 cnf(i_0_1038, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),zero_zero(X1))))).
% 21.80/3.36 cnf(i_0_1073, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4)))).
% 21.80/3.36 cnf(i_0_1085, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4)))).
% 21.80/3.36 cnf(i_0_1086, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)))|~linord893533164strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4)))).
% 21.80/3.36 cnf(i_0_1062, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.36 cnf(i_0_1084, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4)))).
% 21.80/3.36 cnf(i_0_1068, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))).
% 21.80/3.36 cnf(i_0_1040, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)))|~ordered_semiring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4)))).
% 21.80/3.36 cnf(i_0_1039, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)))|~ordere1490568538miring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4)))).
% 21.80/3.36 cnf(i_0_1136, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4)))).
% 21.80/3.36 cnf(i_0_1041, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)))|~ordered_semiring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4)))).
% 21.80/3.36 cnf(i_0_207, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X3)))).
% 21.80/3.36 cnf(i_0_132, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),esk1_5(X1,X2,X3,X4,X5)))|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X5))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(fun(X2,bool),fun(fun(X2,bool),bool),ord_less_eq(fun(X2,bool)),X5),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X4))))).
% 21.80/3.36 cnf(i_0_1174, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linord1117847801e_zero(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),esk100_3(X1,X2,X3)),X2)),X3)))).
% 21.80/3.36 cnf(i_0_638, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3)))).
% 21.80/3.36 cnf(i_0_442, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3)))).
% 21.80/3.36 cnf(i_0_1537, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),esk147_4(X2,X3,X4,X1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),esk148_4(X2,X3,X4,X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X3,X1)),X2)))).
% 21.80/3.36 cnf(i_0_309, plain, (hAPP(nat,nat,suc,hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.36 cnf(i_0_447, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3))))).
% 21.80/3.36 cnf(i_0_1158, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,suc,zero_zero(nat))),X1)))).
% 21.80/3.36 cnf(i_0_1159, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,suc,zero_zero(nat))),X1)))).
% 21.80/3.36 cnf(i_0_261, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))),X4)=hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))).
% 21.80/3.36 cnf(i_0_213, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X2)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.36 cnf(i_0_382, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.36 cnf(i_0_1536, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),esk147_4(X1,X2,X3,X4)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk148_4(X1,X2,X3,X4)),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X4),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,X4)),X1)))).
% 21.80/3.36 cnf(i_0_1534, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),esk148_4(X2,X3,X4,X1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk147_4(X2,X3,X4,X1)),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X3,X1)),X2)))).
% 21.80/3.36 cnf(i_0_209, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)),X3)))).
% 21.80/3.36 cnf(i_0_1427, plain, (hBOOL(hAPP(fun(int,bool),bool,hAPP(fun(int,bool),fun(fun(int,bool),bool),ord_less(fun(int,bool)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X2)))|~hBOOL(hAPP(fun(nat,bool),bool,hAPP(fun(nat,bool),fun(fun(nat,bool),bool),ord_less(fun(nat,bool)),X1),X2)))).
% 21.80/3.36 cnf(i_0_1429, plain, (hBOOL(hAPP(fun(int,bool),bool,hAPP(fun(int,bool),fun(fun(int,bool),bool),ord_less_eq(fun(int,bool)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X2)))|~hBOOL(hAPP(fun(nat,bool),bool,hAPP(fun(nat,bool),fun(fun(nat,bool),bool),ord_less_eq(fun(nat,bool)),X1),X2)))).
% 21.80/3.36 cnf(i_0_308, plain, (hAPP(nat,nat,suc,hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),nat,finite_card(X1),X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.36 cnf(i_0_642, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X1)))).
% 21.80/3.36 cnf(i_0_121, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.36 cnf(i_0_208, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X2)),X3)))).
% 21.80/3.36 cnf(i_0_202, plain, (hBOOL(hAPP(fun(X2,X1),bool,hAPP(fun(X2,X1),fun(fun(X2,X1),bool),ord_less_eq(fun(X2,X1)),X3),X4))|~ord(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,esk8_4(X2,X1,X3,X4))),hAPP(X2,X1,X4,esk8_4(X2,X1,X3,X4)))))).
% 21.80/3.36 cnf(i_0_226, plain, (hBOOL(hAPP(fun(X2,X1),bool,hAPP(fun(X2,X1),fun(fun(X2,X1),bool),ord_less_eq(fun(X2,X1)),X3),X4))|~ord(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,esk13_4(X2,X1,X3,X4))),hAPP(X2,X1,X4,esk13_4(X2,X1,X3,X4)))))).
% 21.80/3.36 cnf(i_0_381, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),one_one(nat)),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),nat,finite_card(X1),X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.36 cnf(i_0_1020, plain, (hAPP(X1,X1,combi(X1),X4)=hAPP(X1,X1,combi(X1),X5)|hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X3)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5))!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X5)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4))|~semiri456707255roduct(X1))).
% 21.80/3.36 cnf(i_0_1025, plain, (hAPP(X1,X1,combi(X1),X3)=hAPP(X1,X1,combi(X1),X5)|hAPP(X1,X1,combi(X1),X2)=hAPP(X1,X1,combi(X1),X4)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5))!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X5)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3))|~semiri456707255roduct(X1))).
% 21.80/3.36 cnf(i_0_592, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3))))).
% 21.80/3.36 cnf(i_0_1110, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2))))).
% 21.80/3.36 cnf(i_0_1107, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3))))).
% 21.80/3.36 cnf(i_0_426, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3))))).
% 21.80/3.36 cnf(i_0_1108, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X1))))).
% 21.80/3.36 cnf(i_0_1111, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))))).
% 21.80/3.36 cnf(i_0_219, plain, (hBOOL(hAPP(fun(X4,bool),bool,hAPP(fun(X4,bool),fun(fun(X4,bool),bool),ord_less_eq(fun(X4,bool)),hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X5),X2)),hAPP(fun(X1,bool),fun(X4,bool),hAPP(fun(X1,X4),fun(fun(X1,bool),fun(X4,bool)),image(X1,X4),X5),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.36 cnf(i_0_1533, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk147_4(X1,X2,X3,X4)),X3))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk148_4(X1,X2,X3,X4)),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X4),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,X4)),X1)))).
% 21.80/3.36 cnf(i_0_562, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_567, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_560, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3))))).
% 21.80/3.36 cnf(i_0_566, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3))))).
% 21.80/3.36 cnf(i_0_410, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_415, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_408, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3))))).
% 21.80/3.36 cnf(i_0_414, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X3))))).
% 21.80/3.36 cnf(i_0_446, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)),X3)))).
% 21.80/3.36 cnf(i_0_443, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3)),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.36 cnf(i_0_1338, plain, (hBOOL(hAPP(int,bool,X3,esk120_3(X2,X3,X4)))|hBOOL(hAPP(int,bool,X2,esk123_3(X2,X3,X4)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),esk122_4(X2,X3,X4,X1)))|hBOOL(hAPP(int,bool,X3,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk120_3(X2,X3,X4)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk121_3(X2,X3,X4)),X4))))|~hBOOL(hAPP(int,bool,X3,X5))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X4)))).
% 21.80/3.36 cnf(i_0_1330, plain, (hBOOL(hAPP(int,bool,X2,esk116_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X1,esk119_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X2,esk118_4(X1,X2,X3,X4)))|hBOOL(hAPP(int,bool,X1,esk118_4(X1,X2,X3,X4)))|hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk116_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk117_3(X1,X2,X3)),X3))))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3)))).
% 21.80/3.36 cnf(i_0_1336, plain, (hBOOL(hAPP(int,bool,X2,esk120_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X1,esk123_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X2,esk122_4(X1,X2,X3,X4)))|hBOOL(hAPP(int,bool,X1,esk122_4(X1,X2,X3,X4)))|hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk120_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk121_3(X1,X2,X3)),X3))))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3)))).
% 21.80/3.36 cnf(i_0_385, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X3)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk36_3(X1,X2,X3)),esk37_3(X1,X2,X3))))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk35_3(X1,X2,X3)),bot_bot(fun(X1,bool))))))).
% 21.80/3.36 cnf(i_0_1332, plain, (hBOOL(hAPP(int,bool,X2,esk116_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X1,esk119_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk118_4(X1,X2,X3,X4)),X4))|hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk116_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk117_3(X1,X2,X3)),X3))))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3)))).
% 21.80/3.36 cnf(i_0_73, plain, (hBOOL(hAPP(fun(fun(X1,bool),bool),bool,finite_finite(fun(X1,bool)),hAPP(fun(fun(X1,bool),bool),fun(fun(X1,bool),bool),collect(fun(X1,bool)),hAPP(fun(X1,bool),fun(fun(X1,bool),bool),hAPP(fun(fun(X1,bool),fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(fun(X1,bool),bool)),combc(fun(X1,bool),fun(X1,bool),bool),ord_less_eq(fun(X1,bool))),X2))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.36 cnf(i_0_1069, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2))))).
% 21.80/3.36 cnf(i_0_1063, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X2))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_1064, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2))))).
% 21.80/3.36 cnf(i_0_1070, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_1071, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2))))).
% 21.80/3.36 cnf(i_0_1065, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_1066, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X2))))).
% 21.80/3.36 cnf(i_0_1072, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_304, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),hAPP(X1,fun(X1,bool),fequal(X1),X3))),X2))=bot_bot(fun(X1,bool))|hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.36 cnf(i_0_1243, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))))).
% 21.80/3.36 cnf(i_0_1164, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))))).
% 21.80/3.36 cnf(i_0_1245, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3))))).
% 21.80/3.36 cnf(i_0_1167, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2))))).
% 21.80/3.36 cnf(i_0_1133, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4)))).
% 21.80/3.36 cnf(i_0_1132, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.36 cnf(i_0_1130, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4)))).
% 21.80/3.36 cnf(i_0_1131, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.36 cnf(i_0_1035, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)))|~ordered_semiring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))).
% 21.80/3.36 cnf(i_0_1036, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)))|~ordered_semiring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))).
% 21.80/3.36 cnf(i_0_196, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk7_5(X2,X1,X3,X4,X5)),X5))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X3),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X4),X5))))).
% 21.80/3.36 cnf(i_0_220, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk10_5(X2,X1,X3,X4,X5)),X5))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X3),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X4),X5))))).
% 21.80/3.36 cnf(i_0_1331, plain, (hBOOL(hAPP(int,bool,X2,esk116_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X1,esk119_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk116_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk117_3(X1,X2,X3)),X3))))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,X2,esk118_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,X1,esk118_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3)))).
% 21.80/3.36 cnf(i_0_1337, plain, (hBOOL(hAPP(int,bool,X2,esk120_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X1,esk123_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk120_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk121_3(X1,X2,X3)),X3))))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,X2,esk122_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,X1,esk122_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3)))).
% 21.80/3.36 cnf(i_0_311, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3))))).
% 21.80/3.36 cnf(i_0_1081, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X3))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_1135, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X3))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_1074, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_1126, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_1127, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4))|~linordered_semiring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_1128, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3))))).
% 21.80/3.36 cnf(i_0_1129, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~linordered_semiring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3))))).
% 21.80/3.36 cnf(i_0_1137, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_1124, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_1125, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3))))).
% 21.80/3.36 cnf(i_0_218, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),esk9_5(X2,X1,X3,X4,X5)),X5))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(fun(X2,bool),fun(fun(X2,bool),bool),ord_less_eq(fun(X2,bool)),X3),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X4),X5))))).
% 21.80/3.36 cnf(i_0_324, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk21_4(X1,X2,X3,X4)),esk22_4(X1,X2,X3,X4)))))).
% 21.80/3.36 cnf(i_0_305, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),hAPP(X1,fun(X1,bool),fequal(X1),X3))),X2))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.36 cnf(i_0_225, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk12_5(X2,X1,X3,X4,X5)),X5))|hBOOL(hAPP(fun(X2,bool),bool,hAPP(fun(X2,bool),fun(fun(X2,bool),bool),ord_less_eq(fun(X2,bool)),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X5)),X4)))).
% 21.80/3.36 cnf(i_0_1289, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X4),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))))|~hBOOL(hAPP(int,bool,X1,X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk108_3(X2,X1,X3)),X3))))).
% 21.80/3.36 cnf(i_0_1315, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X4),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X2),X3))))|~hBOOL(hAPP(int,bool,X1,X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),esk109_3(X2,X1,X3)),X3))))).
% 21.80/3.36 cnf(i_0_277, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X5)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X4),X5))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.36 cnf(i_0_133, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),esk1_5(X1,X2,X3,X4,X5)),X4))|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X5))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(fun(X2,bool),fun(fun(X2,bool),bool),ord_less_eq(fun(X2,bool)),X5),hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X4))))).
% 21.80/3.36 cnf(i_0_1414, plain, (hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3))))|~hBOOL(hAPP(int,bool,X1,zero_zero(int)))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,semiring_1_of_nat(int),X2)),hAPP(nat,int,semiring_1_of_nat(int),X3)))))).
% 21.80/3.36 cnf(i_0_376, plain, (hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X4))),one_one(nat))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.36 cnf(i_0_643, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2))))).
% 21.80/3.36 cnf(i_0_122, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X3),X2))))).
% 21.80/3.36 cnf(i_0_76, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X3,bool),nat,finite_card(X3),hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),X4),X2))),hAPP(fun(X1,bool),nat,finite_card(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.36 cnf(i_0_1419, plain, (hBOOL(hAPP(int,bool,X3,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,semiring_1_of_nat(int),X2)),hAPP(nat,int,semiring_1_of_nat(int),X1))))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(int,bool,X3,hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)))))).
% 21.80/3.36 cnf(i_0_1141, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3))))|~linordered_ring(X1))).
% 21.80/3.36 cnf(i_0_1415, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|hBOOL(hAPP(int,bool,X3,hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2))))|~hBOOL(hAPP(int,bool,X3,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2)))))).
% 21.80/3.36 cnf(i_0_463, plain, (hAPP(fun(X1,bool),X1,the(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),X1,hAPP(X1,fun(fun(X1,bool),X1),partial_flat_lub(X1),X3),X2)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))).
% 21.80/3.36 cnf(i_0_1143, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2))))|~linord581940658strict(X1))).
% 21.80/3.36 cnf(i_0_1144, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3))))|~linord581940658strict(X1))).
% 21.80/3.36 cnf(i_0_1115, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X3)),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X3)),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))).
% 21.80/3.36 cnf(i_0_1119, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X3)),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X3)),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.36 cnf(i_0_646, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk48_3(X1,X2,X3)),esk49_3(X1,X2,X3)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,X3,X1)),X2)),hAPP(nat,nat,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X2)))))).
% 21.80/3.36 cnf(i_0_733, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X2)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3)))).
% 21.80/3.36 cnf(i_0_358, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))=bot_bot(fun(X1,bool))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),X5,X3),hAPP(fun(X1,bool),X1,X4,hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),X1,X4,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite_folding_one(X1),X5),X4)))).
% 21.80/3.36 cnf(i_0_1426, plain, (hBOOL(hAPP(fun(nat,bool),bool,hAPP(fun(nat,bool),fun(fun(nat,bool),bool),ord_less(fun(nat,bool)),X1),X2))|~hBOOL(hAPP(fun(int,bool),bool,hAPP(fun(int,bool),fun(fun(int,bool),bool),ord_less(fun(int,bool)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X2))))).
% 21.80/3.36 cnf(i_0_1428, plain, (hBOOL(hAPP(fun(nat,bool),bool,hAPP(fun(nat,bool),fun(fun(nat,bool),bool),ord_less_eq(fun(nat,bool)),X1),X2))|~hBOOL(hAPP(fun(int,bool),bool,hAPP(fun(int,bool),fun(fun(int,bool),bool),ord_less_eq(fun(int,bool)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X1)),hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),X2))))).
% 21.80/3.36 cnf(i_0_1458, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3))),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3))))|~ordere142940540dd_abs(X1))).
% 21.80/3.36 cnf(i_0_1478, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3))),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3))))|~ordere142940540dd_abs(X1))).
% 21.80/3.36 cnf(i_0_360, plain, (hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))=bot_bot(fun(X1,bool))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),X5,X3),hAPP(fun(X1,bool),X1,X4,hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),X1,X4,X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite_folding_one(X1),X5),X4)))).
% 21.80/3.36 cnf(i_0_312, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))))).
% 21.80/3.36 cnf(i_0_1391, plain, (hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),X1))=hAPP(fun(nat,bool),fun(int,bool),hAPP(fun(nat,int),fun(fun(nat,bool),fun(int,bool)),image(nat,int),semiring_1_of_nat(int)),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,int),fun(nat,bool),hAPP(fun(int,bool),fun(fun(nat,int),fun(nat,bool)),combb(int,bool,nat),X1),semiring_1_of_nat(int)))))).
% 21.80/3.36 cnf(i_0_230, plain, (hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,X1),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(com,x_a,mgt,X2)),bot_bot(fun(x_a,bool)))))|~hBOOL(hAPP(com,bool,wt,X2))|~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,X1),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,esk16_2(X1,X2))),bot_bot(fun(x_a,bool))))))).
% 21.80/3.36 cnf(i_0_1341, plain, (hBOOL(hAPP(int,bool,X2,esk123_3(X2,X3,X4)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),esk122_4(X2,X3,X4,X1)))|~hBOOL(hAPP(int,bool,X3,X5))|~hBOOL(hAPP(int,bool,X3,esk120_3(X2,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X4))|~hBOOL(hAPP(int,bool,X3,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk120_3(X2,X3,X4)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk121_3(X2,X3,X4)),X4)))))).
% 21.80/3.36 cnf(i_0_1333, plain, (hBOOL(hAPP(int,bool,X1,esk119_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X2,esk118_4(X1,X2,X3,X4)))|hBOOL(hAPP(int,bool,X1,esk118_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,X2,esk116_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk116_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk117_3(X1,X2,X3)),X3)))))).
% 21.80/3.36 cnf(i_0_1339, plain, (hBOOL(hAPP(int,bool,X1,esk123_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X2,esk122_4(X1,X2,X3,X4)))|hBOOL(hAPP(int,bool,X1,esk122_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,X2,esk120_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk120_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk121_3(X1,X2,X3)),X3)))))).
% 21.80/3.36 cnf(i_0_1476, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3))),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X3),X2))))|~ordere142940540dd_abs(X1))).
% 21.80/3.36 cnf(i_0_1475, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3))),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3))))|~ordere142940540dd_abs(X1))).
% 21.80/3.36 cnf(i_0_1410, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(nat,int,semiring_1_of_nat(int),X3)),X1)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(nat,int,semiring_1_of_nat(int),X3)),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))).
% 21.80/3.36 cnf(i_0_1239, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X2)),X4))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X1),X3)),X2)),X4))).
% 21.80/3.36 cnf(i_0_1335, plain, (hBOOL(hAPP(int,bool,X1,esk119_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk118_4(X1,X2,X3,X4)),X4))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,X2,esk116_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk116_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk117_3(X1,X2,X3)),X3)))))).
% 21.80/3.36 cnf(i_0_330, plain, (hBOOL(hAPP(fun(X1,bool),bool,X2,bot_bot(fun(X1,bool))))|~hBOOL(hAPP(fun(X1,bool),bool,X2,X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(X1,bool),bool,X2,hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),esk24_3(X1,X2,X3)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk23_3(X1,X2,X3)),bot_bot(fun(X1,bool)))))))).
% 21.80/3.36 cnf(i_0_955, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X3)),X5))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X4)),X3)),X5)|~semiring(X1))).
% 21.80/3.36 cnf(i_0_1334, plain, (hBOOL(hAPP(int,bool,X1,esk119_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,X2,esk116_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X2,esk118_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,X1,esk118_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk116_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk117_3(X1,X2,X3)),X3)))))).
% 21.80/3.36 cnf(i_0_1340, plain, (hBOOL(hAPP(int,bool,X1,esk123_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X2,X5))|~hBOOL(hAPP(int,bool,X2,esk120_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X2,esk122_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,X1,esk122_4(X1,X2,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),esk120_3(X1,X2,X3)),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),esk121_3(X1,X2,X3)),X3)))))).
% 21.80/3.36 cnf(i_0_651, plain, (hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),hAPP(nat,X3,X4,X1)),hAPP(nat,X3,X4,X2)))|~order(X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),hAPP(nat,X3,X4,esk52_4(X3,X1,X2,X4))),hAPP(nat,X3,X4,hAPP(nat,nat,suc,esk52_4(X3,X1,X2,X4))))))).
% 21.80/3.36 cnf(i_0_653, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,X2,X3)),hAPP(nat,X1,X2,X4)))|~order(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,X2,esk53_4(X1,X3,X4,X2))),hAPP(nat,X1,X2,hAPP(nat,nat,suc,esk53_4(X1,X3,X4,X2))))))).
% 21.80/3.36 cnf(i_0_134, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(nat,X1,X2,X3)),hAPP(nat,X1,X2,X4)))|~order(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(nat,X1,X2,esk2_4(X1,X3,X4,X2))),hAPP(nat,X1,X2,hAPP(nat,nat,suc,esk2_4(X1,X3,X4,X2))))))).
% 21.80/3.36 cnf(i_0_1095, plain, (hAPP(X1,X1,combi(X1),X4)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X5),X2)),X3)),X6)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3)),X6)|~ring(X1))).
% 21.80/3.36 cnf(i_0_1097, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X5)),X3)),X4)=hAPP(X1,X1,combi(X1),X6)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3)),X6)|~ring(X1))).
% 21.80/3.36 cnf(i_0_1255, plain, (X3=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X4),X1)),X2)),X5)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),X3)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X4),X2)),X5)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X4)))).
% 21.80/3.36 cnf(i_0_1250, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X4)),X2)),X3)=X5|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),X3)!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X4),X2)),X5)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),X1)))).
% 21.80/3.36 cnf(i_0_652, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X4))|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,X2,X3)),hAPP(nat,X1,X2,X4)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,X2,esk52_4(X1,X3,X4,X2))),hAPP(nat,X1,X2,hAPP(nat,nat,suc,esk52_4(X1,X3,X4,X2))))))).
% 21.80/3.36 cnf(i_0_645, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,X1,X2)),X3)),hAPP(nat,nat,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),X2),X3))))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,X1,esk48_3(X2,X3,X1))),hAPP(nat,nat,X1,esk49_3(X2,X3,X1)))))).
% 21.80/3.36 cnf(i_0_323, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(fun(X1,bool),nat,finite_card(X1),X3)),hAPP(fun(X1,bool),nat,finite_card(X1),X2))),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),X2))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.36 cnf(i_0_1168, plain, (hAPP(fun(X2,bool),X1,hAPP(X1,fun(fun(X2,bool),X1),hAPP(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1))),finite_fold_image(X1,X2),times_times(X1)),X5),X6),hAPP(fun(X2,bool),fun(X2,bool),hAPP(X2,fun(fun(X2,bool),fun(X2,bool)),insert(X2),X4),X3))=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X2,X1,X5,X4)),hAPP(fun(X2,bool),X1,hAPP(X1,fun(fun(X2,bool),X1),hAPP(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1))),finite_fold_image(X1,X2),times_times(X1)),X5),X6),X3))|hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X4),X3))|~ab_semigroup_mult(X1)|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X3)))).
% 21.80/3.36 cnf(i_0_1264, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),X3))))).
% 21.80/3.36 cnf(i_0_1739, negated_conjecture, (~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))))).
% 21.80/3.36 cnf(i_0_1477, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X4))),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,abs_abs(X1),X4)),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,abs_abs(X1),X2)),X3)))).
% 21.80/3.36 cnf(i_0_1094, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)),X6)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5)),X2)|hAPP(X1,X1,combi(X1),X2)!=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X3),X4)),X5)),X6)|~ring(X1))).
% 21.80/3.36 cnf(i_0_1096, plain, (hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),X5)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)),X6)|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),X4)),X5)!=hAPP(X1,X1,combi(X1),X6)|~ring(X1))).
% 21.80/3.36 cnf(i_0_1210, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),X1)),X1)),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int))))).
% 21.80/3.36 cnf(i_0_1254, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X4)),X5)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X4)),X1)|X1!=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)),X4)),X5)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)))).
% 21.80/3.36 cnf(i_0_1249, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),X4)=hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)),X5)|hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3)),X4)!=X5|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))).
% 21.80/3.36 cnf(i_0_734, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X2)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X3))))).
% 21.80/3.36 cnf(i_0_1116, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X1)),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X1)),X3))))).
% 21.80/3.36 cnf(i_0_1120, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X1)),X2)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,suc,X1)),X3))))).
% 21.80/3.36 cnf(i_0_302, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X3))),X2))=bot_bot(fun(X1,bool))|hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.36 cnf(i_0_303, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X3))),X2))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))|~hBOOL(hAPP(X1,bool,X2,X3)))).
% 21.80/3.36 cnf(i_0_1145, plain, (hAPP(X1,X1,combi(X1),X3)!=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3)))))).
% 21.80/3.36 cnf(i_0_930, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),X2)),X2)),zero_zero(X1)))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1))))).
% 21.80/3.36 cnf(i_0_1286, plain, (hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),X1))=hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),X2))|hBOOL(hAPP(int,bool,X2,esk107_2(X2,X1)))|hBOOL(hAPP(int,bool,X1,esk107_2(X2,X1))))).
% 21.80/3.36 cnf(i_0_270, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_719, plain, (hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X5)=hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X4),X6)|hAPP(X1,X2,X3,esk80_6(X2,X1,X3,X4,X5,X6))!=hAPP(X1,X2,X4,esk80_6(X2,X1,X3,X4,X5,X6))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X5)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X6))).
% 21.80/3.36 cnf(i_0_1288, plain, (hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),X1))=hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),X2))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk107_2(X1,X2))))).
% 21.80/3.36 cnf(i_0_1287, plain, (hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),X1))=hAPP(fun(int,bool),fun(int,bool),collect(int),hAPP(fun(int,bool),fun(int,bool),hAPP(fun(int,fun(bool,bool)),fun(fun(int,bool),fun(int,bool)),combs(int,bool,bool),hAPP(fun(int,bool),fun(int,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(int,bool),fun(int,fun(bool,bool))),combb(bool,fun(bool,bool),int),fconj),hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)))),X2))|~hBOOL(hAPP(int,bool,X2,esk107_2(X2,X1)))|~hBOOL(hAPP(int,bool,X1,esk107_2(X2,X1))))).
% 21.80/3.36 cnf(i_0_371, plain, (hAPP(fun(X1,bool),X2,X6,bot_bot(fun(X1,bool)))=hAPP(X2,X2,combi(X2),X4)|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite1357897459simple(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.36 cnf(i_0_263, plain, (hAPP(X2,X2,hAPP(X2,fun(X2,X2),X3,X7),X7)=hAPP(X2,X2,combi(X2),X7)|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite908156982e_idem(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.36 cnf(i_0_681, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4))))).
% 21.80/3.36 cnf(i_0_164, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fdisj),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X2))),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X3)))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))).
% 21.80/3.36 cnf(i_0_199, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fdisj),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X2))),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X3)))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3))).
% 21.80/3.36 cnf(i_0_224, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X5)),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X2,X1,X3,esk12_5(X1,X2,X3,X4,X5))),X4)))).
% 21.80/3.36 cnf(i_0_1138, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3))),zero_zero(X1)))|hAPP(X1,X1,combi(X1),X3)!=zero_zero(X1)|hAPP(X1,X1,combi(X1),X2)!=zero_zero(X1)|~linord581940658strict(X1))).
% 21.80/3.36 cnf(i_0_237, plain, (hAPP(fun(X1,bool),X2,X6,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X8),X7))=hAPP(X2,X2,hAPP(X2,fun(X2,X2),X3,hAPP(X1,X2,X5,X8)),hAPP(fun(X1,bool),X2,X6,X7))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X7))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite908156982e_idem(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.36 cnf(i_0_1474, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X1,X1,abs_abs(X1),X2)),hAPP(X1,X1,abs_abs(X1),X3)))),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3))))|~ordere142940540dd_abs(X1))).
% 21.80/3.36 cnf(i_0_319, plain, (hAPP(X2,X2,hAPP(X2,fun(X2,X2),X3,hAPP(X1,X2,X5,X8)),hAPP(fun(X1,bool),X2,X6,X7))=hAPP(fun(X1,bool),X2,X6,X7)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X7))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X8),X7))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite908156982e_idem(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.36 cnf(i_0_236, plain, (hAPP(X2,X2,hAPP(X2,fun(X2,X2),X3,hAPP(fun(X1,bool),X2,X6,X8)),hAPP(fun(X1,bool),X2,X6,X7))=hAPP(fun(X1,bool),X2,X6,X7)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X7))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X8),X7))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite908156982e_idem(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.36 cnf(i_0_375, plain, (hAPP(fun(X1,bool),X2,X6,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X8),X7))=hAPP(X2,X2,hAPP(X2,fun(X2,X2),X3,hAPP(X1,X2,X5,X8)),hAPP(fun(X1,bool),X2,X6,X7))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X8),X7))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X7))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite1357897459simple(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.36 cnf(i_0_1267, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X5))|hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),X3)!=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X4),X5)),X6)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X6),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X4),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X4),X5)),X6))))).
% 21.80/3.36 cnf(i_0_929, plain, (hAPP(fun(X1,bool),X2,X6,X7)=hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),X3),X5),X4),X7)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X7))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite1357897459simple(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.36 cnf(i_0_720, plain, (hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X3),X5)=hAPP(fun(X1,bool),fun(X2,bool),hAPP(fun(X1,X2),fun(fun(X1,bool),fun(X2,bool)),image(X1,X2),X4),X6)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk80_6(X2,X1,X3,X4,X5,X6)),X6))|hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X5)!=hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X6))).
% 21.80/3.36 cnf(i_0_465, plain, (hBOOL(hAPP(fun(X1,fun(fun(X1,bool),fun(X1,bool))),bool,finite_comp_fun_idem(X1,fun(X1,bool)),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(fun(X1,bool),fun(X1,bool))),hAPP(fun(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool))),fun(fun(X1,fun(X1,bool)),fun(X1,fun(fun(X1,bool),fun(X1,bool)))),combb(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),X1),hAPP(fun(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool))),fun(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool))),combc(fun(X1,bool),fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)))),hAPP(fun(X1,bool),fun(X1,fun(X1,bool)),hAPP(fun(X1,fun(fun(X1,bool),fun(X1,bool))),fun(fun(X1,bool),fun(X1,fun(X1,bool))),combc(X1,fun(X1,bool),fun(X1,bool)),insert(X1)),bot_bot(fun(X1,bool)))))))).
% 21.80/3.36 cnf(i_0_1211, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),X1)),X1)),zero_zero(int))))).
% 21.80/3.36 cnf(i_0_266, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))),X4)))).
% 21.80/3.36 cnf(i_0_264, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))),X4)))).
% 21.80/3.36 cnf(i_0_265, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))),X3)))).
% 21.80/3.36 cnf(i_0_676, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))),X4)))).
% 21.80/3.36 cnf(i_0_675, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X3))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))),X3)))).
% 21.80/3.36 cnf(i_0_1274, plain, (hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X3),X4),X6)=hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X5),X4),X6)|hAPP(X1,X2,X3,esk104_6(X1,X2,X4,X3,X5,X6))!=hAPP(X1,X2,X5,esk104_6(X1,X2,X4,X3,X5,X6))|~ab_semigroup_mult(X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X6)))).
% 21.80/3.36 cnf(i_0_671, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X4)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X3),X4))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X3),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),bot_bot(fun(X1,bool))))),X4)))).
% 21.80/3.36 cnf(i_0_1265, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),X3)),zero_zero(int))))).
% 21.80/3.36 cnf(i_0_933, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X6),X4))),X3))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X5),X6)!=one_one(X1)|~linord626643107strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X5)))).
% 21.80/3.36 cnf(i_0_1170, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X6),X4))),X3))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X5),X6)!=one_one(X1)|~linord1278240602ring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X5)))).
% 21.80/3.36 cnf(i_0_670, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool))))),X3)))).
% 21.80/3.36 cnf(i_0_931, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~linordered_idom(X1)|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),ring_1_Ints(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),one_one(X1)),X2)),X2)),zero_zero(X1))))).
% 21.80/3.36 cnf(i_0_310, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))))),hAPP(fun(X1,bool),nat,finite_card(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2)))).
% 21.80/3.36 cnf(i_0_1253, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),X4)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)),X5))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X4),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)),X3)),X5))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.36 cnf(i_0_460, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X5)=bot_bot(fun(X1,bool))|hAPP(fun(X1,bool),X1,X3,hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,X1),fun(fun(X1,bool),fun(X1,bool)),image(X1,X1),X4),X5))=hAPP(X1,X1,X4,hAPP(fun(X1,bool),X1,X3,X5))|hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,hAPP(X1,X1,X4,esk39_5(X1,X5,X4,X2,X3))),hAPP(X1,X1,X4,esk40_5(X1,X5,X4,X2,X3)))!=hAPP(X1,X1,X4,hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,esk39_5(X1,X5,X4,X2,X3)),esk40_5(X1,X5,X4,X2,X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X5))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite2073411215e_idem(X1),X2),X3)))).
% 21.80/3.36 cnf(i_0_362, plain, (hAPP(X2,X2,hAPP(X2,fun(X2,X2),X3,hAPP(X1,X2,X5,X8)),hAPP(fun(X1,bool),X2,X6,hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X7),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X8),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),X2,X6,hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X8),X7))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X7))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite1357897459simple(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.36 cnf(i_0_363, plain, (hAPP(X2,X2,hAPP(X2,fun(X2,X2),X3,hAPP(X1,X2,X5,X8)),hAPP(fun(X1,bool),X2,X6,hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X7),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X8),bot_bot(fun(X1,bool))))))=hAPP(fun(X1,bool),X2,X6,X7)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X7))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X8),X7))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite1357897459simple(X2,X1),X3),X4),X5),X6)))).
% 21.80/3.36 cnf(i_0_481, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool)))))),hAPP(fun(X1,bool),nat,finite_card(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.36 cnf(i_0_357, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X2))),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(bool,bool),fun(fun(X1,bool),fun(X1,bool)),combb(bool,bool,X1),fNot),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X3))))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),X3))).
% 21.80/3.36 cnf(i_0_342, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),hAPP(fun(nat,nat),fun(nat,fun(nat,bool)),hAPP(fun(nat,fun(nat,bool)),fun(fun(nat,nat),fun(nat,fun(nat,bool))),combb(nat,fun(nat,bool),nat),ord_less_eq(nat)),X2)),X1))))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk29_2(X1,X2)),hAPP(nat,nat,X2,esk29_2(X1,X2)))))).
% 21.80/3.36 cnf(i_0_83, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),X3)),X2))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2))))).
% 21.80/3.36 cnf(i_0_84, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),X2)),X3))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2))))).
% 21.80/3.36 cnf(i_0_1275, plain, (hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X4),X3),X6)=hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X5),X3),X6)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk104_6(X1,X2,X3,X4,X5,X6)),X6))|~ab_semigroup_mult(X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X6)))).
% 21.80/3.36 cnf(i_0_101, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fdisj),X2)),X3))))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2))))).
% 21.80/3.36 cnf(i_0_1142, plain, (~linordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3))),zero_zero(X1))))).
% 21.80/3.36 cnf(i_0_1139, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2))),zero_zero(X1))))).
% 21.80/3.36 cnf(i_0_1140, plain, (hAPP(X1,X1,combi(X1),X2)=zero_zero(X1)|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X3))),zero_zero(X1))))).
% 21.80/3.36 cnf(i_0_1258, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X5),X2))|hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),X3)!=hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X4),X5)),X6)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X4),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X6))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X4),X5)),X6)),zero_zero(int))))).
% 21.80/3.36 cnf(i_0_165, plain, (hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fimplies),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(bool,bool),fun(fun(X1,bool),fun(X1,bool)),combb(bool,bool,X1),fNot),hAPP(X1,fun(X1,bool),hAPP(fun(X1,fun(X1,bool)),fun(X1,fun(X1,bool)),combc(X1,X1,bool),fequal(X1)),X2)))),X3))=hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X3)))).
% 21.80/3.36 cnf(i_0_313, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X4)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X5))),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),hAPP(fun(X2,bool),fun(X2,bool),hAPP(fun(X2,bool),fun(fun(X2,bool),fun(X2,bool)),minus_minus(fun(X2,bool)),X4),X5)))))).
% 21.80/3.36 cnf(i_0_378, plain, (hAPP(fun(X1,bool),fun(X1,bool),combi(fun(X1,bool)),X4)=bot_bot(fun(X1,bool))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(fun(X1,bool),X1,X3,X4)),X4))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(fun(X1,bool),X1),bool,hAPP(fun(X1,fun(X1,X1)),fun(fun(fun(X1,bool),X1),bool),finite_folding_one(X1),X2),X3))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),X2,esk32_4(X1,X4,X2,X3)),esk33_4(X1,X4,X2,X3))),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk32_4(X1,X4,X2,X3)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),esk33_4(X1,X4,X2,X3)),bot_bot(fun(X1,bool)))))))).
% 21.80/3.36 cnf(i_0_702, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X4),hAPP(X1,X2,X5,X3)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk66_6(X2,X1,X3,X4,X5,X6)),esk67_6(X2,X1,X3,X4,X5,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X6),X3))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),X4),hAPP(X1,X2,X5,X6))))).
% 21.80/3.36 cnf(i_0_704, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X4),hAPP(X1,X2,X5,X3)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),esk68_6(X2,X1,X3,X4,X5,X6)),esk69_6(X2,X1,X3,X4,X5,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X6),X3))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X4),hAPP(X1,X2,X5,X6))))).
% 21.80/3.36 cnf(i_0_711, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X3),hAPP(X1,X2,X4,X6)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk73_6(X2,X1,X3,X4,X5,X6)),esk72_6(X2,X1,X3,X4,X5,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X5),X6))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),X3),hAPP(X1,X2,X4,X5))))).
% 21.80/3.36 cnf(i_0_713, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X3),hAPP(X1,X2,X4,X6)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),esk75_6(X2,X1,X3,X4,X5,X6)),esk74_6(X2,X1,X3,X4,X5,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X5),X6))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X3),hAPP(X1,X2,X4,X5))))).
% 21.80/3.36 cnf(i_0_619, plain, (hBOOL(hAPP(fun(nat,bool),bool,finite_finite(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),X1)),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),X2))))))).
% 21.80/3.36 cnf(i_0_1259, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X4),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X5))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X5),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),X3)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X4)),X5))))).
% 21.80/3.36 cnf(i_0_1266, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X5),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X2)),X3)),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),X1),X4)),X5))))).
% 21.80/3.36 cnf(i_0_698, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),hAPP(X1,X2,X4,X3)),X6))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk63_6(X1,X2,X3,X4,X5,X6)),esk62_6(X1,X2,X3,X4,X5,X6)))|~ord(X1)|~order(X2)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X5))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),hAPP(X1,X2,X4,X5)),X6)))).
% 21.80/3.36 cnf(i_0_700, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),hAPP(X1,X2,X4,X3)),X6))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),esk65_6(X1,X2,X3,X4,X5,X6)),esk64_6(X1,X2,X3,X4,X5,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X5))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),hAPP(X1,X2,X4,X5)),X6)))).
% 21.80/3.36 cnf(i_0_717, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),hAPP(X1,X2,X3,X5)),X4))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),esk78_6(X1,X2,X3,X4,X5,X6)),esk79_6(X1,X2,X3,X4,X5,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X5),X6))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),hAPP(X1,X2,X3,X6)),X4)))).
% 21.80/3.36 cnf(i_0_715, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),hAPP(X1,X2,X3,X5)),X4))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),esk76_6(X1,X2,X3,X4,X5,X6)),esk77_6(X1,X2,X3,X4,X5,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X5),X6))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),hAPP(X1,X2,X3,X6)),X4)))).
% 21.80/3.36 cnf(i_0_329, plain, (hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,X2),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,X1)),bot_bot(fun(x_a,bool)))))|~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),p,hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,X1)),X2)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(com,x_a,mgt,hAPP(option(com),com,the_1(com),hAPP(pname,option(com),body,X1)))),bot_bot(fun(x_a,bool))))))).
% 21.80/3.36 cnf(i_0_1248, plain, (hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)),X4)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),X5))=hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X1)),X3)),X4)),X5)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))).
% 21.80/3.36 cnf(i_0_102, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fdisj),X3)),X2)))))).
% 21.80/3.36 cnf(i_0_103, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fdisj),X2)),X3)))))).
% 21.80/3.36 cnf(i_0_466, plain, (hAPP(fun(X2,bool),X2,the(X2),hAPP(fun(X2,bool),fun(X2,bool),hAPP(fun(X2,fun(bool,bool)),fun(fun(X2,bool),fun(X2,bool)),combs(X2,bool,bool),hAPP(fun(X2,bool),fun(X2,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X2,bool),fun(X2,fun(bool,bool))),combb(bool,fun(bool,bool),X2),fconj),hAPP(fun(X2,bool),fun(X2,bool),hAPP(fun(bool,bool),fun(fun(X2,bool),fun(X2,bool)),combb(bool,bool,X2),hAPP(bool,fun(bool,bool),fimplies,X1)),hAPP(X2,fun(X2,bool),hAPP(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),combc(X2,X2,bool),fequal(X2)),X4)))),hAPP(fun(X2,bool),fun(X2,bool),hAPP(fun(bool,bool),fun(fun(X2,bool),fun(X2,bool)),combb(bool,bool,X2),hAPP(bool,fun(bool,bool),fimplies,hAPP(bool,bool,fNot,X1))),hAPP(X2,fun(X2,bool),hAPP(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),combc(X2,X2,bool),fequal(X2)),X3))))=hAPP(X2,X2,combi(X2),X3)|hBOOL(X1))).
% 21.80/3.36 cnf(i_0_467, plain, (hAPP(fun(X2,bool),X2,the(X2),hAPP(fun(X2,bool),fun(X2,bool),hAPP(fun(X2,fun(bool,bool)),fun(fun(X2,bool),fun(X2,bool)),combs(X2,bool,bool),hAPP(fun(X2,bool),fun(X2,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X2,bool),fun(X2,fun(bool,bool))),combb(bool,fun(bool,bool),X2),fconj),hAPP(fun(X2,bool),fun(X2,bool),hAPP(fun(bool,bool),fun(fun(X2,bool),fun(X2,bool)),combb(bool,bool,X2),hAPP(bool,fun(bool,bool),fimplies,X1)),hAPP(X2,fun(X2,bool),hAPP(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),combc(X2,X2,bool),fequal(X2)),X3)))),hAPP(fun(X2,bool),fun(X2,bool),hAPP(fun(bool,bool),fun(fun(X2,bool),fun(X2,bool)),combb(bool,bool,X2),hAPP(bool,fun(bool,bool),fimplies,hAPP(bool,bool,fNot,X1))),hAPP(X2,fun(X2,bool),hAPP(fun(X2,fun(X2,bool)),fun(X2,fun(X2,bool)),combc(X2,X2,bool),fequal(X2)),X4))))=hAPP(X2,X2,combi(X2),X3)|~hBOOL(X1))).
% 21.80/3.36 cnf(i_0_1169, plain, (hAPP(fun(X2,bool),X1,hAPP(X1,fun(fun(X2,bool),X1),hAPP(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1))),finite_fold_image(X1,X2),times_times(X1)),hAPP(fun(X2,X1),fun(X2,X1),hAPP(fun(X2,fun(X1,X1)),fun(fun(X2,X1),fun(X2,X1)),combs(X2,X1,X1),hAPP(fun(X2,X1),fun(X2,fun(X1,X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X2,fun(X1,X1))),combb(X1,fun(X1,X1),X2),times_times(X1)),X4)),X5)),one_one(X1)),X3)=hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(fun(X2,bool),X1,hAPP(X1,fun(fun(X2,bool),X1),hAPP(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1))),finite_fold_image(X1,X2),times_times(X1)),X4),one_one(X1)),X3)),hAPP(fun(X2,bool),X1,hAPP(X1,fun(fun(X2,bool),X1),hAPP(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X2,X1),fun(X1,fun(fun(X2,bool),X1))),finite_fold_image(X1,X2),times_times(X1)),X5),one_one(X1)),X3))|~comm_monoid_mult(X1)|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X3)))).
% 21.80/3.36 cnf(i_0_379, plain, (hAPP(fun(X1,bool),X2,X7,X4)=hAPP(X2,X2,combi(X2),X6)|hAPP(X1,X2,X3,esk34_7(X1,X2,X4,X5,X6,X3,X7))!=hAPP(X2,X2,combi(X2),X6)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X4))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite1357897459simple(X2,X1),X5),X6),X3),X7)))).
% 21.80/3.36 cnf(i_0_1459, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X2),X3)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),X4),X5)))),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X4))),hAPP(X1,X1,abs_abs(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X3),X5)))))|~ordere142940540dd_abs(X1))).
% 21.80/3.36 cnf(i_0_1180, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X4),X1)),X2)),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X4),X2)),X5))))).
% 21.80/3.36 cnf(i_0_1252, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X4),X1)),X2)),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X4),X2)),X5))))).
% 21.80/3.36 cnf(i_0_1153, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X5),X2)),X3)),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3)),X6))))).
% 21.80/3.36 cnf(i_0_1149, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X5),X2)),X3)),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3)),X6))))).
% 21.80/3.36 cnf(i_0_873, plain, (hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),member(nat)),X1))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),hAPP(nat,nat,suc,X2)))))!=zero_zero(nat)|~hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),zero_zero(nat)),X1)))).
% 21.80/3.36 cnf(i_0_1179, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X4)),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X4)),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)),X4)),X5))))).
% 21.80/3.36 cnf(i_0_1251, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X3),X4)),X1)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X4)),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X2),X3)),X4)),X5))))).
% 21.80/3.36 cnf(i_0_1152, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5)),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X3),X4)),X5)),X6))))).
% 21.80/3.36 cnf(i_0_1148, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X4),X5)),X2)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X5)),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X3),X4)),X5)),X6))))).
% 21.80/3.36 cnf(i_0_1257, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X4)),X2)),X3)),X5))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X4),X2)),X5))))).
% 21.80/3.36 cnf(i_0_1247, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X4)),X2)),X3)),X5))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X2)),X3)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X4),X2)),X5))))).
% 21.80/3.36 cnf(i_0_1155, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X5)),X3)),X4)),X6))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3)),X6))))).
% 21.80/3.36 cnf(i_0_1151, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X5)),X3)),X4)),X6))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X3)),X4)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X5),X3)),X6))))).
% 21.80/3.36 cnf(i_0_701, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X5),hAPP(X2,X1,X3,X4)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X6),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X5),hAPP(X2,X1,X3,X6)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,esk66_6(X1,X2,X4,X5,X3,X6))),hAPP(X2,X1,X3,esk67_6(X1,X2,X4,X5,X3,X6)))))).
% 21.80/3.36 cnf(i_0_703, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X5),hAPP(X2,X1,X3,X4)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),X6),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X5),hAPP(X2,X1,X3,X6)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,esk68_6(X1,X2,X4,X5,X3,X6))),hAPP(X2,X1,X3,esk69_6(X1,X2,X4,X5,X3,X6)))))).
% 21.80/3.36 cnf(i_0_710, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),hAPP(X2,X1,X3,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X5),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),hAPP(X2,X1,X3,X5)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,esk73_6(X1,X2,X4,X3,X5,X6))),hAPP(X2,X1,X3,esk72_6(X1,X2,X4,X3,X5,X6)))))).
% 21.80/3.36 cnf(i_0_712, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),hAPP(X2,X1,X3,X6)))|~order(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),X5),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),hAPP(X2,X1,X3,X5)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,esk75_6(X1,X2,X4,X3,X5,X6))),hAPP(X2,X1,X3,esk74_6(X1,X2,X4,X3,X5,X6)))))).
% 21.80/3.36 cnf(i_0_716, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,X5)),X4))|~order(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X5),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,X6)),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,esk78_6(X2,X1,X3,X4,X5,X6))),hAPP(X2,X1,X3,esk79_6(X2,X1,X3,X4,X5,X6)))))).
% 21.80/3.36 cnf(i_0_714, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,X5)),X4))|~order(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),X5),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,X6)),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,esk76_6(X2,X1,X3,X4,X5,X6))),hAPP(X2,X1,X3,esk77_6(X2,X1,X3,X4,X5,X6)))))).
% 21.80/3.36 cnf(i_0_697, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,X4)),X6))|~ord(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,X5)),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,esk63_6(X2,X1,X4,X3,X5,X6))),hAPP(X2,X1,X3,esk62_6(X2,X1,X4,X3,X5,X6)))))).
% 21.80/3.36 cnf(i_0_699, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,X4)),X6))|~order(X2)|~order(X1)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X2,X1,X3,X5)),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X2,X1,X3,esk65_6(X2,X1,X4,X3,X5,X6))),hAPP(X2,X1,X3,esk64_6(X2,X1,X4,X3,X5,X6)))))).
% 21.80/3.36 cnf(i_0_1256, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),X4)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3)),X4)),X5)))).
% 21.80/3.36 cnf(i_0_1246, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X1),X3)),X4)),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),X2),X3)),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),times_times(nat),hAPP(nat,nat,hAPP(nat,fun(nat,nat),minus_minus(nat),X1),X2)),X3)),X4)),X5)))).
% 21.80/3.36 cnf(i_0_1154, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),X5)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),X4)),X5)),X6)))).
% 21.80/3.36 cnf(i_0_1150, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X2),X4)),X5)),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),X3),X4)),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),plus_plus(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),hAPP(X1,X1,hAPP(X1,fun(X1,X1),minus_minus(X1),X2),X3)),X4)),X5)),X6)))).
% 21.80/3.36 cnf(i_0_1520, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),X3),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X3),X2))),one_one(int))),X1))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.36 cnf(i_0_1521, plain, (hAPP(nat,int,X1,esk144_3(X2,X1,X3))=X2|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,zero_zero(nat))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk143_3(X2,X1,X3)),one_one(nat)))),hAPP(nat,int,X1,esk143_3(X2,X1,X3))))),one_one(int))))).
% 21.80/3.36 cnf(i_0_1525, plain, (hAPP(nat,int,X1,esk146_3(X2,X1,X3))=X2|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,zero_zero(nat))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk145_3(X2,X1,X3)),one_one(nat)))),hAPP(nat,int,X1,esk145_3(X2,X1,X3))))),one_one(int))))).
% 21.80/3.36 cnf(i_0_480, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(fun(X1,bool),nat,finite_card(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,bool),fun(fun(X1,bool),fun(X1,bool)),minus_minus(fun(X1,bool)),X2),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X3),bot_bot(fun(X1,bool))))),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X4),bot_bot(fun(X1,bool)))))),hAPP(fun(X1,bool),nat,finite_card(X1),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X4),X2))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X3),X2)))).
% 21.80/3.36 cnf(i_0_1522, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk144_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,zero_zero(nat))),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,X2,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk143_3(X1,X2,X3)),one_one(nat)))),hAPP(nat,int,X2,esk143_3(X1,X2,X3))))),one_one(int))))).
% 21.80/3.36 cnf(i_0_1526, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk146_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,zero_zero(nat))),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,X2,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk145_3(X1,X2,X3)),one_one(nat)))),hAPP(nat,int,X2,esk145_3(X1,X2,X3))))),one_one(int))))).
% 21.80/3.36 cnf(i_0_380, plain, (hAPP(fun(X1,bool),X2,X7,X3)=hAPP(X2,X2,combi(X2),X5)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk34_7(X1,X2,X3,X4,X5,X6,X7)),X3))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X3))|~hBOOL(hAPP(fun(fun(X1,bool),X2),bool,hAPP(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool),hAPP(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool)),hAPP(fun(X2,fun(X2,X2)),fun(X2,fun(fun(X1,X2),fun(fun(fun(X1,bool),X2),bool))),finite1357897459simple(X2,X1),X4),X5),X6),X7)))).
% 21.80/3.36 cnf(i_0_1529, plain, (hAPP(nat,int,X1,esk148_4(X2,X1,X3,X4))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X4),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,X4)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,X1,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk147_4(X2,X1,X3,X4)),one_one(nat)))),hAPP(nat,int,X1,esk147_4(X2,X1,X3,X4))))),one_one(int))))).
% 21.80/3.36 cnf(i_0_1531, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),esk148_4(X2,X3,X4,X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X3,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X3,X1)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,X3,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk147_4(X2,X3,X4,X1)),one_one(nat)))),hAPP(nat,int,X3,esk147_4(X2,X3,X4,X1))))),one_one(int))))).
% 21.80/3.36 cnf(i_0_1530, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk148_4(X1,X2,X3,X4)),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X4),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,X4)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),hAPP(nat,int,X2,hAPP(nat,nat,hAPP(nat,fun(nat,nat),plus_plus(nat),esk147_4(X1,X2,X3,X4)),one_one(nat)))),hAPP(nat,int,X2,esk147_4(X1,X2,X3,X4))))),one_one(int))))).
% 21.80/3.36 cnf(i_0_874, plain, (hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),hAPP(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool)),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool))),combb(nat,fun(fun(nat,bool),bool),nat),member(nat)),suc)),X1))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),X2))))=hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),member(nat)),X1))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),hAPP(nat,nat,suc,X2)))))|hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),zero_zero(nat)),X1)))).
% 21.80/3.36 cnf(i_0_135, plain, (hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X2))|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),hAPP(fun(X1,bool),fun(X3,bool),hAPP(fun(X1,X3),fun(fun(X1,bool),fun(X3,bool)),image(X1,X3),X4),X2)))|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),hAPP(fun(X1,bool),fun(X1,bool),collect(X1),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(bool,bool)),fun(fun(X1,bool),fun(X1,bool)),combs(X1,bool,bool),hAPP(fun(X1,bool),fun(X1,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(X1,bool),fun(X1,fun(bool,bool))),combb(bool,fun(bool,bool),X1),fconj),hAPP(fun(X1,bool),fun(X1,bool),hAPP(fun(X1,fun(fun(X1,bool),bool)),fun(fun(X1,bool),fun(X1,bool)),combc(X1,fun(X1,bool),bool),member(X1)),X2))),hAPP(X3,fun(X1,bool),hAPP(fun(X1,fun(X3,bool)),fun(X3,fun(X1,bool)),combc(X1,X3,bool),hAPP(fun(X1,X3),fun(X1,fun(X3,bool)),hAPP(fun(X3,fun(X3,bool)),fun(fun(X1,X3),fun(X1,fun(X3,bool))),combb(X3,fun(X3,bool),X1),fequal(X3)),X4)),hAPP(X1,X3,X4,esk3_4(X3,X1,X4,X2))))))))).
% 21.80/3.36 cnf(i_0_1457, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),hAPP(int,int,hAPP(int,fun(int,int),times_times(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,abs_abs(int),hAPP(int,int,hAPP(int,fun(int,int),minus_minus(int),X2),X3))),one_one(int))),X1))),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))).
% 21.80/3.36 cnf(i_0_1450, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,esk136_7(X1,X2,X3,X4,X5,X6,X7)),esk138_7(X1,X2,X3,X4,X5,X6,X7)))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk140_7(X1,X2,X3,X4,X5,X6,X7)),X5))|hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X3),X7),X5)),hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X4),X7),X5)))|~comm_monoid_mult(X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X5))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,X7),X7)))).
% 21.80/3.36 cnf(i_0_1448, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,esk137_7(X1,X2,X3,X4,X5,X6,X7)),esk139_7(X1,X2,X3,X4,X5,X6,X7)))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk140_7(X1,X2,X3,X4,X5,X6,X7)),X5))|hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X3),X7),X5)),hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X4),X7),X5)))|~comm_monoid_mult(X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X5))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,X7),X7)))).
% 21.80/3.36 cnf(i_0_872, plain, (hAPP(nat,nat,suc,hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),hAPP(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool)),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,nat),fun(nat,fun(fun(nat,bool),bool))),combb(nat,fun(fun(nat,bool),bool),nat),member(nat)),suc)),X1))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),X2)))))=hAPP(fun(nat,bool),nat,finite_card(nat),hAPP(fun(nat,bool),fun(nat,bool),collect(nat),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(bool,bool)),fun(fun(nat,bool),fun(nat,bool)),combs(nat,bool,bool),hAPP(fun(nat,bool),fun(nat,fun(bool,bool)),hAPP(fun(bool,fun(bool,bool)),fun(fun(nat,bool),fun(nat,fun(bool,bool))),combb(bool,fun(bool,bool),nat),fconj),hAPP(fun(nat,bool),fun(nat,bool),hAPP(fun(nat,fun(fun(nat,bool),bool)),fun(fun(nat,bool),fun(nat,bool)),combc(nat,fun(nat,bool),bool),member(nat)),X1))),hAPP(nat,fun(nat,bool),hAPP(fun(nat,fun(nat,bool)),fun(nat,fun(nat,bool)),combc(nat,nat,bool),ord_less(nat)),hAPP(nat,nat,suc,X2)))))|~hBOOL(hAPP(fun(nat,bool),bool,hAPP(nat,fun(fun(nat,bool),bool),member(nat),zero_zero(nat)),X1)))).
% 21.80/3.36 cnf(i_0_1449, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,esk136_7(X3,X1,X4,X5,X6,X2,X7)),esk138_7(X3,X1,X4,X5,X6,X2,X7)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,hAPP(fun(X3,bool),X1,hAPP(X1,fun(fun(X3,bool),X1),hAPP(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1))),finite_fold_image(X1,X3),times_times(X1)),X4),X7),X6)),hAPP(fun(X3,bool),X1,hAPP(X1,fun(fun(X3,bool),X1),hAPP(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1))),finite_fold_image(X1,X3),times_times(X1)),X5),X7),X6)))|~comm_monoid_mult(X1)|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,X7),X7))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,hAPP(X3,X1,X4,esk140_7(X3,X1,X4,X5,X6,X2,X7))),hAPP(X3,X1,X5,esk140_7(X3,X1,X4,X5,X6,X2,X7)))))).
% 21.80/3.36 cnf(i_0_1447, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,esk137_7(X3,X1,X4,X5,X6,X2,X7)),esk139_7(X3,X1,X4,X5,X6,X2,X7)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,hAPP(fun(X3,bool),X1,hAPP(X1,fun(fun(X3,bool),X1),hAPP(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1))),finite_fold_image(X1,X3),times_times(X1)),X4),X7),X6)),hAPP(fun(X3,bool),X1,hAPP(X1,fun(fun(X3,bool),X1),hAPP(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1))),finite_fold_image(X1,X3),times_times(X1)),X5),X7),X6)))|~comm_monoid_mult(X1)|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,X7),X7))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,hAPP(X3,X1,X4,esk140_7(X3,X1,X4,X5,X6,X2,X7))),hAPP(X3,X1,X5,esk140_7(X3,X1,X4,X5,X6,X2,X7)))))).
% 21.80/3.36 cnf(i_0_1446, plain, (hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk140_7(X1,X2,X3,X4,X5,X6,X7)),X5))|hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X3),X7),X5)),hAPP(fun(X1,bool),X2,hAPP(X2,fun(fun(X1,bool),X2),hAPP(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2)),hAPP(fun(X2,fun(X2,X2)),fun(fun(X1,X2),fun(X2,fun(fun(X1,bool),X2))),finite_fold_image(X2,X1),times_times(X2)),X4),X7),X5)))|~comm_monoid_mult(X2)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X5))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,X7),X7))|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),X6,hAPP(X2,X2,hAPP(X2,fun(X2,X2),times_times(X2),esk136_7(X1,X2,X3,X4,X5,X6,X7)),esk137_7(X1,X2,X3,X4,X5,X6,X7))),hAPP(X2,X2,hAPP(X2,fun(X2,X2),times_times(X2),esk138_7(X1,X2,X3,X4,X5,X6,X7)),esk139_7(X1,X2,X3,X4,X5,X6,X7)))))).
% 21.80/3.36 cnf(i_0_1445, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,hAPP(fun(X3,bool),X1,hAPP(X1,fun(fun(X3,bool),X1),hAPP(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1))),finite_fold_image(X1,X3),times_times(X1)),X4),X7),X6)),hAPP(fun(X3,bool),X1,hAPP(X1,fun(fun(X3,bool),X1),hAPP(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1)),hAPP(fun(X1,fun(X1,X1)),fun(fun(X3,X1),fun(X1,fun(fun(X3,bool),X1))),finite_fold_image(X1,X3),times_times(X1)),X5),X7),X6)))|~comm_monoid_mult(X1)|~hBOOL(hAPP(fun(X3,bool),bool,finite_finite(X3),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,X7),X7))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,hAPP(X3,X1,X4,esk140_7(X3,X1,X4,X5,X6,X2,X7))),hAPP(X3,X1,X5,esk140_7(X3,X1,X4,X5,X6,X2,X7))))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),X2,hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),esk136_7(X3,X1,X4,X5,X6,X2,X7)),esk137_7(X3,X1,X4,X5,X6,X2,X7))),hAPP(X1,X1,hAPP(X1,fun(X1,X1),times_times(X1),esk138_7(X3,X1,X4,X5,X6,X2,X7)),esk139_7(X3,X1,X4,X5,X6,X2,X7)))))).
% 21.80/3.36 cnf(i_0_1454, plain, (hAPP(fun(X1,bool),X3,hAPP(X3,fun(fun(X1,bool),X3),hAPP(fun(X1,X3),fun(X3,fun(fun(X1,bool),X3)),hAPP(fun(X3,fun(X3,X3)),fun(fun(X1,X3),fun(X3,fun(fun(X1,bool),X3))),finite_fold_image(X3,X1),times_times(X3)),X6),X4),X10)=hAPP(fun(X2,bool),X3,hAPP(X3,fun(fun(X2,bool),X3),hAPP(fun(X2,X3),fun(X3,fun(fun(X2,bool),X3)),hAPP(fun(X3,fun(X3,X3)),fun(fun(X2,X3),fun(X3,fun(fun(X2,bool),X3))),finite_fold_image(X3,X2),times_times(X3)),X5),X4),X9)|hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),esk141_10(X2,X1,X3,X4,X5,X6,X7,X8,X9,X10)),X9))|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk142_10(X2,X1,X3,X4,X5,X6,X7,X8,X9,X10)),X10))|~comm_monoid_mult(X3)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X10)))).
% 21.80/3.36 cnf(i_0_1452, plain, (hAPP(fun(X1,bool),X3,hAPP(X3,fun(fun(X1,bool),X3),hAPP(fun(X1,X3),fun(X3,fun(fun(X1,bool),X3)),hAPP(fun(X3,fun(X3,X3)),fun(fun(X1,X3),fun(X3,fun(fun(X1,bool),X3))),finite_fold_image(X3,X1),times_times(X3)),X6),X4),X10)=hAPP(fun(X2,bool),X3,hAPP(X3,fun(fun(X2,bool),X3),hAPP(fun(X2,X3),fun(X3,fun(fun(X2,bool),X3)),hAPP(fun(X3,fun(X3,X3)),fun(fun(X2,X3),fun(X3,fun(fun(X2,bool),X3))),finite_fold_image(X3,X2),times_times(X3)),X5),X4),X9)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk142_10(X2,X1,X3,X4,X5,X6,X7,X8,X9,X10)),X10))|hAPP(X1,X2,X7,hAPP(X2,X1,X8,esk141_10(X2,X1,X3,X4,X5,X6,X7,X8,X9,X10)))!=hAPP(X2,X2,combi(X2),esk141_10(X2,X1,X3,X4,X5,X6,X7,X8,X9,X10))|~comm_monoid_mult(X3)|~hBOOL(hAPP(fun(X1,bool),bool,finite_finite(X1),X10))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X2,X1,X8,esk141_10(X2,X1,X3,X4,X5,X6,X7,X8,X9,X10))),X10)))).
% 21.80/3.36 cnf(i_0_1453, plain, (hAPP(fun(X1,bool),X4,hAPP(X4,fun(fun(X1,bool),X4),hAPP(fun(X1,X4),fun(X4,fun(fun(X1,bool),X4)),hAPP(fun(X4,fun(X4,X4)),fun(fun(X1,X4),fun(X4,fun(fun(X1,bool),X4))),finite_fold_image(X4,X1),times_times(X4)),X6),X5),X9)=hAPP(fun(X2,bool),X4,hAPP(X4,fun(fun(X2,bool),X4),hAPP(fun(X2,X4),fun(X4,fun(fun(X2,bool),X4)),hAPP(fun(X4,fun(X4,X4)),fun(fun(X2,X4),fun(X4,fun(fun(X2,bool),X4))),finite_fold_image(X4,X2),times_times(X4)),X7),X5),X10)|hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),esk141_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10)),X9))|hAPP(X1,X4,X6,hAPP(X2,X1,X3,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10)))!=hAPP(X2,X4,X7,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))|hAPP(X1,X2,X8,hAPP(X2,X1,X3,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10)))!=hAPP(X2,X2,combi(X2),esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))|~comm_monoid_mult(X4)|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X10))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X2,X1,X3,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))),X9)))).
% 21.80/3.36 cnf(i_0_1451, plain, (hAPP(fun(X1,bool),X4,hAPP(X4,fun(fun(X1,bool),X4),hAPP(fun(X1,X4),fun(X4,fun(fun(X1,bool),X4)),hAPP(fun(X4,fun(X4,X4)),fun(fun(X1,X4),fun(X4,fun(fun(X1,bool),X4))),finite_fold_image(X4,X1),times_times(X4)),X6),X5),X9)=hAPP(fun(X2,bool),X4,hAPP(X4,fun(fun(X2,bool),X4),hAPP(fun(X2,X4),fun(X4,fun(fun(X2,bool),X4)),hAPP(fun(X4,fun(X4,X4)),fun(fun(X2,X4),fun(X4,fun(fun(X2,bool),X4))),finite_fold_image(X4,X2),times_times(X4)),X7),X5),X10)|hAPP(X1,X4,X6,hAPP(X2,X1,X3,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10)))!=hAPP(X2,X4,X7,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))|hAPP(X2,X1,X3,hAPP(X1,X2,X8,esk141_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10)))!=hAPP(X1,X1,combi(X1),esk141_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))|hAPP(X1,X2,X8,hAPP(X2,X1,X3,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10)))!=hAPP(X2,X2,combi(X2),esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))|~comm_monoid_mult(X4)|~hBOOL(hAPP(fun(X2,bool),bool,finite_finite(X2),X10))|~hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),hAPP(X1,X2,X8,esk141_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))),X10))|~hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X2,X1,X3,esk142_10(X1,X2,X4,X5,X6,X7,X3,X8,X9,X10))),X9)))).
% 21.80/3.36 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 21.80/3.36 # Begin printing tableau
% 21.80/3.36 # Found 5 steps
% 21.80/3.36 cnf(i_0_1739, negated_conjecture, (~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))), inference(start_rule)).
% 21.80/3.36 cnf(i_0_1740, plain, (~hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))), inference(extension_rule, [i_0_226])).
% 21.80/3.36 cnf(i_0_4692, plain, (~ord(bool)), inference(closure_rule, [i_0_1705])).
% 21.80/3.36 cnf(i_0_4693, plain, (~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),ord_less_eq(bool),hAPP(x_a,bool,hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g),esk13_4(x_a,bool,hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))),hAPP(x_a,bool,hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u),esk13_4(x_a,bool,hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))))), inference(extension_rule, [i_0_1714])).
% 21.80/3.36 cnf(i_0_9518, plain, (hBOOL(hAPP(bool,bool,fNot,hAPP(bool,bool,hAPP(bool,fun(bool,bool),ord_less_eq(bool),hAPP(x_a,bool,hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g),esk13_4(x_a,bool,hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u)))),hAPP(x_a,bool,hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u),esk13_4(x_a,bool,hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))))))), inference(etableau_closure_rule, [i_0_9518, ...])).
% 21.80/3.36 # End printing tableau
% 21.80/3.36 # SZS output end
% 21.80/3.36 # Branches closed with saturation will be marked with an "s"
% 21.80/3.37 # Child (9595) has found a proof.
% 21.80/3.37
% 21.80/3.37 # Proof search is over...
% 21.80/3.37 # Freeing feature tree
%------------------------------------------------------------------------------