0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s 0.11/0.33 Computer : n003.cluster.edu 0.11/0.33 Model : x86_64 x86_64 0.11/0.33 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 RAMPerCPU : 8042.1875MB 0.11/0.33 OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Tue Aug 9 04:34:06 EDT 2022 0.11/0.33 % CPUTime : 0.18/0.53 # No SInE strategy applied 0.18/0.53 # Auto-Mode selected heuristic G_E___200_C41_F1_AE_CS_SP_PI_S0Y 0.18/0.53 # and selection function SelectMaxLComplexAvoidPosPred. 0.18/0.53 # 0.18/0.53 # Number of axioms: 1650 Number of unprocessed: 1650 0.18/0.53 # Tableaux proof search. 0.18/0.53 # APR header successfully linked. 0.18/0.53 # Hello from C++ 0.18/0.58 # The folding up rule is enabled... 0.18/0.58 # Local unification is enabled... 0.18/0.58 # Any saturation attempts will use folding labels... 0.18/0.58 # 1650 beginning clauses after preprocessing and clausification 0.18/0.58 # Creating start rules for all 1 conjectures. 0.18/0.58 # There are 1 start rule candidates: 0.18/0.58 # Found 409 unit axioms. 0.18/0.58 # 1 start rule tableaux created. 0.18/0.58 # 1241 extension rule candidate clauses 0.18/0.58 # 409 unit axiom clauses 0.18/0.58 0.18/0.58 # Requested 8, 32 cores available to the main process. 0.18/0.58 # There are not enough tableaux to fork, creating more from the initial 1 0.18/0.58 # Returning from population with 35 new_tableaux and 0 remaining starting tableaux. 0.18/0.58 # We now have 35 tableaux to operate on 14.91/2.42 # There were 1 total branch saturation attempts. 14.91/2.42 # There were 0 of these attempts blocked. 14.91/2.42 # There were 0 deferred branch saturation attempts. 14.91/2.42 # There were 0 free duplicated saturations. 14.91/2.42 # There were 1 total successful branch saturations. 14.91/2.42 # There were 0 successful branch saturations in interreduction. 14.91/2.42 # There were 0 successful branch saturations on the branch. 14.91/2.42 # There were 1 successful branch saturations after the branch. 14.91/2.42 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 14.91/2.42 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p 14.91/2.42 # Begin clausification derivation 14.91/2.42 14.91/2.42 # End clausification derivation 14.91/2.42 # Begin listing active clauses obtained from FOF to CNF conversion 14.91/2.42 cnf(i_0_245, plain, (min!=pls)). 14.91/2.42 cnf(i_0_1288, plain, (min!=pls)). 14.91/2.42 cnf(i_0_1642, plain, (bit1(min)=min)). 14.91/2.42 cnf(i_0_569, plain, (zero_zero(int)=pls)). 14.91/2.42 cnf(i_0_132, plain, (comm_semiring_1(int))). 14.91/2.42 cnf(i_0_1280, plain, (comm_semiring_1(nat))). 14.91/2.42 cnf(i_0_367, plain, (comm_semiring_1(real))). 14.91/2.42 cnf(i_0_1384, plain, (ordere223160158up_add(int))). 14.91/2.42 cnf(i_0_47, plain, (ordere223160158up_add(nat))). 14.91/2.42 cnf(i_0_1033, plain, (ordere223160158up_add(real))). 14.91/2.42 cnf(i_0_607, plain, (linord581940658strict(int))). 14.91/2.42 cnf(i_0_922, plain, (linord581940658strict(real))). 14.91/2.42 cnf(i_0_456, plain, (linord219039673up_add(int))). 14.91/2.42 cnf(i_0_19, plain, (linord219039673up_add(real))). 14.91/2.42 cnf(i_0_1602, plain, (number_ring(int))). 14.91/2.42 cnf(i_0_978, plain, (number_ring(real))). 14.91/2.42 cnf(i_0_1631, plain, (ordered_ring(int))). 14.91/2.42 cnf(i_0_1289, plain, (ordered_ring(real))). 14.91/2.42 cnf(i_0_27, plain, (semiring_0(int))). 14.91/2.42 cnf(i_0_409, plain, (semiring_0(nat))). 14.91/2.42 cnf(i_0_995, plain, (semiring_0(real))). 14.91/2.42 cnf(i_0_1298, plain, (linordered_semidom(int))). 14.91/2.42 cnf(i_0_1458, plain, (linordered_semidom(nat))). 14.91/2.42 cnf(i_0_352, plain, (linordered_semidom(real))). 14.91/2.42 cnf(i_0_368, plain, (no_zero_divisors(int))). 14.91/2.42 cnf(i_0_1378, plain, (no_zero_divisors(nat))). 14.91/2.42 cnf(i_0_195, plain, (no_zero_divisors(real))). 14.91/2.42 cnf(i_0_324, plain, (ordere779506340up_add(int))). 14.91/2.42 cnf(i_0_1706, plain, (ordere779506340up_add(nat))). 14.91/2.42 cnf(i_0_1680, plain, (ordere779506340up_add(real))). 14.91/2.42 cnf(i_0_921, plain, (semiring_div(int))). 14.91/2.42 cnf(i_0_171, plain, (semiring_div(nat))). 14.91/2.42 cnf(i_0_633, plain, (dvd(int))). 14.91/2.42 cnf(i_0_588, plain, (dvd(nat))). 14.91/2.42 cnf(i_0_573, plain, (dvd(real))). 14.91/2.42 cnf(i_0_205, plain, (comm_ring(int))). 14.91/2.42 cnf(i_0_941, plain, (comm_ring(real))). 14.91/2.42 cnf(i_0_1353, plain, (semiring(int))). 14.91/2.42 cnf(i_0_1638, plain, (semiring(nat))). 14.91/2.42 cnf(i_0_736, plain, (semiring(real))). 14.91/2.42 cnf(i_0_562, plain, (number(int))). 14.91/2.42 cnf(i_0_1440, plain, (number(nat))). 14.91/2.42 cnf(i_0_100, plain, (number(real))). 14.91/2.42 cnf(i_0_712, plain, (linorder(int))). 14.91/2.42 cnf(i_0_325, plain, (linorder(nat))). 14.91/2.42 cnf(i_0_63, plain, (linorder(real))). 14.91/2.42 cnf(i_0_425, plain, (ordere453448008miring(int))). 14.91/2.42 cnf(i_0_64, plain, (ordere453448008miring(nat))). 14.91/2.42 cnf(i_0_989, plain, (ordere453448008miring(real))). 14.91/2.42 cnf(i_0_209, plain, (linord20386208strict(int))). 14.91/2.42 cnf(i_0_973, plain, (linord20386208strict(nat))). 14.91/2.42 cnf(i_0_65, plain, (linord20386208strict(real))). 14.91/2.42 cnf(i_0_344, plain, (plus(int))). 14.91/2.42 cnf(i_0_1472, plain, (plus(nat))). 14.91/2.42 cnf(i_0_72, plain, (plus(real))). 14.91/2.42 cnf(i_0_687, plain, (real_normed_algebra(real))). 14.91/2.42 cnf(i_0_198, plain, (mult_zero(int))). 14.91/2.42 cnf(i_0_170, plain, (mult_zero(nat))). 14.91/2.42 cnf(i_0_95, plain, (mult_zero(real))). 14.91/2.42 cnf(i_0_96, plain, (ring_char_0(int))). 14.91/2.42 cnf(i_0_1072, plain, (ring_char_0(real))). 14.91/2.42 cnf(i_0_285, plain, (linordered_idom(int))). 14.91/2.42 cnf(i_0_997, plain, (linordered_idom(real))). 14.91/2.42 cnf(i_0_924, plain, (ordere236663937imp_le(int))). 14.91/2.42 cnf(i_0_336, plain, (ordere236663937imp_le(nat))). 14.91/2.42 cnf(i_0_1650, plain, (ordere236663937imp_le(real))). 14.91/2.42 cnf(i_0_362, plain, (ordere1490568538miring(int))). 14.91/2.42 cnf(i_0_796, plain, (ordere1490568538miring(nat))). 14.91/2.42 cnf(i_0_134, plain, (ordere1490568538miring(real))). 14.91/2.42 cnf(i_0_1581, plain, (monoid_mult(int))). 14.91/2.42 cnf(i_0_1502, plain, (monoid_mult(nat))). 14.91/2.42 cnf(i_0_866, plain, (monoid_mult(real))). 14.91/2.42 cnf(i_0_152, plain, (zero(int))). 14.91/2.42 cnf(i_0_1122, plain, (zero(nat))). 14.91/2.42 cnf(i_0_1543, plain, (zero(real))). 14.91/2.42 cnf(i_0_1108, plain, (cancel_semigroup_add(int))). 14.91/2.42 cnf(i_0_1635, plain, (cancel_semigroup_add(nat))). 14.91/2.42 cnf(i_0_393, plain, (cancel_semigroup_add(real))). 14.91/2.42 cnf(i_0_1316, plain, (linordered_ring(int))). 14.91/2.42 cnf(i_0_155, plain, (linordered_ring(real))). 14.91/2.42 cnf(i_0_1582, plain, (ring_11004092258visors(int))). 14.91/2.42 cnf(i_0_566, plain, (ring_11004092258visors(real))). 14.91/2.42 cnf(i_0_448, plain, (ordere216010020id_add(int))). 14.91/2.42 cnf(i_0_1432, plain, (ordere216010020id_add(nat))). 14.91/2.42 cnf(i_0_745, plain, (ordere216010020id_add(real))). 14.91/2.42 cnf(i_0_197, plain, (monoid_add(int))). 14.91/2.42 cnf(i_0_347, plain, (monoid_add(nat))). 14.91/2.42 cnf(i_0_1066, plain, (monoid_add(real))). 14.91/2.42 cnf(i_0_203, plain, (semiri456707255roduct(int))). 14.91/2.42 cnf(i_0_567, plain, (semiri456707255roduct(nat))). 14.91/2.42 cnf(i_0_592, plain, (semiri456707255roduct(real))). 14.91/2.42 cnf(i_0_795, plain, (linordered_semiring(int))). 14.91/2.42 cnf(i_0_755, plain, (linordered_semiring(nat))). 14.91/2.42 cnf(i_0_494, plain, (linordered_semiring(real))). 14.91/2.42 cnf(i_0_1273, plain, (semiring_1(int))). 14.91/2.42 cnf(i_0_279, plain, (semiring_1(nat))). 14.91/2.42 cnf(i_0_216, plain, (semiring_1(real))). 14.91/2.42 cnf(i_0_586, plain, (one(int))). 14.91/2.42 cnf(i_0_261, plain, (one(nat))). 14.91/2.42 cnf(i_0_614, plain, (one(real))). 14.91/2.42 cnf(i_0_842, plain, (order(int))). 14.91/2.42 cnf(i_0_220, plain, (order(bool))). 14.91/2.42 cnf(i_0_396, plain, (order(nat))). 14.91/2.42 cnf(i_0_575, plain, (order(real))). 14.91/2.42 cnf(i_0_366, plain, (ab_semigroup_mult(int))). 14.91/2.42 cnf(i_0_1379, plain, (ab_semigroup_mult(nat))). 14.91/2.42 cnf(i_0_1110, plain, (ab_semigroup_mult(real))). 14.91/2.42 cnf(i_0_224, plain, (cancel146912293up_add(int))). 14.91/2.42 cnf(i_0_1341, plain, (cancel146912293up_add(nat))). 14.91/2.42 cnf(i_0_234, plain, (cancel146912293up_add(real))). 14.91/2.42 cnf(i_0_1668, plain, (ab_semigroup_add(int))). 14.91/2.42 cnf(i_0_1193, plain, (ab_semigroup_add(nat))). 14.91/2.42 cnf(i_0_1318, plain, (ab_semigroup_add(real))). 14.91/2.42 cnf(i_0_1669, plain, (ordered_semiring(int))). 14.91/2.42 cnf(i_0_904, plain, (ordered_semiring(nat))). 14.91/2.42 cnf(i_0_909, plain, (ordered_semiring(real))). 14.91/2.42 cnf(i_0_291, plain, (ring_1(int))). 14.91/2.42 cnf(i_0_548, plain, (ring_1(real))). 14.91/2.42 cnf(i_0_381, plain, (idom(int))). 14.91/2.42 cnf(i_0_478, plain, (idom(real))). 14.91/2.42 cnf(i_0_1393, plain, (power(int))). 14.91/2.42 cnf(i_0_1043, plain, (power(nat))). 14.91/2.42 cnf(i_0_508, plain, (power(real))). 14.91/2.42 cnf(i_0_1655, plain, (number_semiring(int))). 14.91/2.42 cnf(i_0_498, plain, (number_semiring(nat))). 14.91/2.42 cnf(i_0_1517, plain, (number_semiring(real))). 14.91/2.42 cnf(i_0_812, plain, (ordered_ab_group_add(int))). 14.91/2.42 cnf(i_0_639, plain, (ordered_ab_group_add(real))). 14.91/2.42 cnf(i_0_1515, plain, (ring_n68954251visors(int))). 14.91/2.42 cnf(i_0_345, plain, (ring_n68954251visors(real))). 14.91/2.42 cnf(i_0_810, plain, (zero_neq_one(int))). 14.91/2.42 cnf(i_0_398, plain, (zero_neq_one(nat))). 14.91/2.42 cnf(i_0_756, plain, (zero_neq_one(real))). 14.91/2.42 cnf(i_0_565, plain, (ring(int))). 14.91/2.42 cnf(i_0_1145, plain, (ring(real))). 14.91/2.42 cnf(i_0_1439, plain, (group_add(int))). 14.91/2.42 cnf(i_0_1364, plain, (group_add(real))). 14.91/2.42 cnf(i_0_1201, plain, (comm_semiring(int))). 14.91/2.42 cnf(i_0_1550, plain, (comm_semiring(nat))). 14.91/2.42 cnf(i_0_1481, plain, (comm_semiring(real))). 14.91/2.42 cnf(i_0_661, plain, (comm_ring_1(int))). 14.91/2.42 cnf(i_0_741, plain, (comm_ring_1(real))). 14.91/2.42 cnf(i_0_1132, plain, (linord1278240602ring_1(int))). 14.91/2.42 cnf(i_0_1009, plain, (linord1278240602ring_1(real))). 14.91/2.42 cnf(i_0_686, plain, (linord893533164strict(int))). 14.91/2.42 cnf(i_0_652, plain, (linord893533164strict(nat))). 14.91/2.42 cnf(i_0_1045, plain, (linord893533164strict(real))). 14.91/2.42 cnf(i_0_1277, plain, (ring_div(int))). 14.91/2.42 cnf(i_0_781, plain, (comm_monoid_mult(int))). 14.91/2.42 cnf(i_0_837, plain, (comm_monoid_mult(nat))). 14.91/2.42 cnf(i_0_1026, plain, (comm_monoid_mult(real))). 14.91/2.42 cnf(i_0_1395, plain, (ab_group_add(int))). 14.91/2.42 cnf(i_0_882, plain, (ab_group_add(real))). 14.91/2.42 cnf(i_0_998, plain, (comm_monoid_add(int))). 14.91/2.42 cnf(i_0_1315, plain, (comm_monoid_add(nat))). 14.91/2.42 cnf(i_0_1480, plain, (comm_monoid_add(real))). 14.91/2.42 cnf(i_0_1708, plain, (linord626643107strict(int))). 14.91/2.42 cnf(i_0_1464, plain, (linord626643107strict(real))). 14.91/2.42 cnf(i_0_46, plain, (bit1(X1)!=pls)). 14.91/2.42 cnf(i_0_1381, plain, (bit1(X1)!=pls)). 14.91/2.42 cnf(i_0_107, plain, (one_one(int)!=zero_zero(int))). 14.91/2.42 cnf(i_0_38, plain, (one_one(real)!=zero_zero(real))). 14.91/2.42 cnf(i_0_142, plain, (ti(int,min)=min)). 14.91/2.42 cnf(i_0_794, plain, (ti(int,s1)=s1)). 14.91/2.42 cnf(i_0_1423, hypothesis, (ti(int,pls)=pls)). 14.91/2.42 cnf(i_0_9, plain, (ti(int,s)=s)). 14.91/2.42 cnf(i_0_1121, hypothesis, (ti(int,m)=m)). 14.91/2.42 cnf(i_0_485, plain, (ti(int,t)=t)). 14.91/2.42 cnf(i_0_867, plain, (number_number_of(int,pls)=zero_zero(int))). 14.91/2.42 cnf(i_0_247, plain, (number_number_of(nat,pls)=zero_zero(nat))). 14.91/2.42 cnf(i_0_628, plain, (number_number_of(nat,pls)=zero_zero(nat))). 14.91/2.42 cnf(i_0_17, plain, (number_number_of(nat,bit1(pls))=one_one(nat))). 14.91/2.42 cnf(i_0_1629, plain, (number_number_of(nat,bit1(pls))=one_one(nat))). 14.91/2.42 cnf(i_0_493, plain, (number_number_of(int,bit1(pls))=one_one(int))). 14.91/2.42 cnf(i_0_1530, plain, (ti(int,X1)=min|bit1(X1)!=min)). 14.91/2.42 cnf(i_0_1477, plain, (ti(int,X1)=min|bit1(X1)!=min)). 14.91/2.42 cnf(i_0_351, plain, (one_one(X1)!=zero_zero(X1)|~zero_neq_one(X1))). 14.91/2.42 cnf(i_0_718, plain, (one_one(X1)!=zero_zero(X1)|~zero_neq_one(X1))). 14.91/2.42 cnf(i_0_891, plain, (ti(int,twoSqu1929807760sum2sq(X1))=twoSqu1929807760sum2sq(X1))). 14.91/2.42 cnf(i_0_1471, plain, (ti(int,zfact(X1))=zfact(X1))). 14.91/2.42 cnf(i_0_311, hypothesis, (ti(int,bit1(X1))=bit1(X1))). 14.91/2.42 cnf(i_0_413, plain, (number_number_of(X1,pls)=zero_zero(X1)|~number_ring(X1))). 14.91/2.42 cnf(i_0_1297, plain, (number_number_of(X1,pls)=zero_zero(X1)|~number_ring(X1))). 14.91/2.42 cnf(i_0_1348, plain, (number_number_of(X1,pls)=zero_zero(X1)|~number_semiring(X1))). 14.91/2.42 cnf(i_0_315, plain, (ti(X1,undefined(X1))=undefined(X1))). 14.91/2.42 cnf(i_0_1529, plain, (bit1(X1)=min|ti(int,X1)!=min)). 14.91/2.42 cnf(i_0_1476, plain, (bit1(X1)=min|ti(int,X1)!=min)). 14.91/2.42 cnf(i_0_689, plain, (ti(int,X1)=number_number_of(int,X1))). 14.91/2.42 cnf(i_0_373, plain, (number_number_of(X1,bit1(pls))=one_one(X1)|~number_ring(X1))). 14.91/2.42 cnf(i_0_1408, plain, (number_number_of(X1,bit1(pls))=one_one(X1)|~number_ring(X1))). 14.91/2.42 cnf(i_0_1475, plain, (number_number_of(X1,bit1(pls))=one_one(X1)|~number_semiring(X1))). 14.91/2.42 cnf(i_0_1478, plain, (sr(ti(int,X1))=sr(X1))). 14.91/2.42 cnf(i_0_1660, plain, (d22set(ti(int,X1))=d22set(X1))). 14.91/2.42 cnf(i_0_1533, hypothesis, (bit1(ti(int,X1))=bit1(X1))). 14.91/2.42 cnf(i_0_160, plain, (quadRes(ti(int,X1))=quadRes(X1))). 14.91/2.42 cnf(i_0_1656, plain, (zfact(ti(int,X1))=zfact(X1))). 14.91/2.42 cnf(i_0_1024, plain, (ti(X1,zero_zero(X1))=zero_zero(X1)|~zero(X1))). 14.91/2.42 cnf(i_0_219, plain, (ti(X1,one_one(X1))=one_one(X1)|~one(X1))). 14.91/2.42 cnf(i_0_780, plain, (ti(fun(int,bool),zprime)=zprime)). 14.91/2.42 cnf(i_0_397, plain, (ti(fun(int,bool),twoSqu658283162sum2sq)=twoSqu658283162sum2sq)). 14.91/2.42 cnf(i_0_1405, plain, (hBOOL(ti(bool,X1))|~hBOOL(X1))). 14.91/2.42 cnf(i_0_1300, plain, (number_number_of(int,min)!=number_number_of(int,pls))). 14.91/2.42 cnf(i_0_1202, plain, (order(fun(X2,X1))|~order(X1))). 14.91/2.42 cnf(i_0_328, plain, (ti(int,X1)=ti(int,X2)|bit1(X1)!=bit1(X2))). 14.91/2.42 cnf(i_0_600, plain, (ti(fun(int,bool),d22set(X1))=d22set(X1))). 14.91/2.42 cnf(i_0_1203, plain, (ti(fun(int,bool),quadRes(X1))=quadRes(X1))). 14.91/2.42 cnf(i_0_446, plain, (ti(fun(int,bool),sr(X1))=sr(X1))). 14.91/2.42 cnf(i_0_1404, plain, (hBOOL(X1)|~hBOOL(ti(bool,X1)))). 14.91/2.42 cnf(i_0_327, plain, (bit1(X1)=bit1(X2)|ti(int,X1)!=ti(int,X2))). 14.91/2.42 cnf(i_0_353, plain, (minus_minus(nat,ti(nat,X1))=minus_minus(nat,X1))). 14.91/2.42 cnf(i_0_1278, plain, (zcong(X1,ti(int,X2))=zcong(X1,X2))). 14.91/2.42 cnf(i_0_394, plain, (wset(X1,ti(int,X2))=wset(X1,X2))). 14.91/2.42 cnf(i_0_701, plain, (inv(X1,ti(int,X2))=inv(X1,X2))). 14.91/2.42 cnf(i_0_641, plain, (legendre(X1,ti(int,X2))=legendre(X1,X2))). 14.91/2.42 cnf(i_0_476, plain, (multInv(X1,ti(int,X2))=multInv(X1,X2))). 14.91/2.42 cnf(i_0_1457, plain, (zcong(ti(int,X1),X2)=zcong(X1,X2))). 14.91/2.42 cnf(i_0_1125, plain, (wset(ti(int,X1),X2)=wset(X1,X2))). 14.91/2.42 cnf(i_0_321, plain, (inv(ti(int,X1),X2)=inv(X1,X2))). 14.91/2.42 cnf(i_0_221, plain, (multInv(ti(int,X1),X2)=multInv(X1,X2))). 14.91/2.42 cnf(i_0_192, plain, (legendre(ti(int,X1),X2)=legendre(X1,X2))). 14.91/2.42 cnf(i_0_1686, plain, (ti(int,inv(X1,X2))=inv(X1,X2))). 14.91/2.42 cnf(i_0_1153, plain, (ti(int,legendre(X1,X2))=legendre(X1,X2))). 14.91/2.42 cnf(i_0_1681, plain, (ti(int,multInv(X1,X2))=multInv(X1,X2))). 14.91/2.42 cnf(i_0_576, plain, (ti(X1,ti(X1,X2))=ti(X1,X2))). 14.91/2.42 cnf(i_0_1636, plain, (member(X1,ti(X1,X2))=member(X1,X2))). 14.91/2.42 cnf(i_0_638, plain, (number_number_of(X1,ti(int,X2))=number_number_of(X1,X2)|~number(X1))). 14.91/2.42 cnf(i_0_462, plain, (times_times(X1,ti(X1,X2))=times_times(X1,X2)|~no_zero_divisors(X1))). 14.91/2.42 cnf(i_0_1344, plain, (times_times(X1,ti(X1,X2))=times_times(X1,X2)|~semiring(X1))). 14.91/2.42 cnf(i_0_1046, plain, (times_times(X1,ti(X1,X2))=times_times(X1,X2)|~ab_semigroup_mult(X1))). 14.91/2.42 cnf(i_0_1627, plain, (plus_plus(X1,ti(X1,X2))=plus_plus(X1,X2)|~monoid_add(X1))). 14.91/2.42 cnf(i_0_1100, plain, (ti(X1,number_number_of(X1,X2))=number_number_of(X1,X2)|~number(X1))). 14.91/2.42 cnf(i_0_865, plain, (div_mod(X1,ti(X1,X2))=div_mod(X1,X2)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_1328, plain, (times_times(X1,ti(X1,X2))=times_times(X1,X2)|~dvd(X1))). 14.91/2.42 cnf(i_0_539, plain, (times_times(X1,ti(X1,X2))=times_times(X1,X2)|~mult_zero(X1))). 14.91/2.42 cnf(i_0_778, plain, (times_times(X1,ti(X1,X2))=times_times(X1,X2)|~power(X1))). 14.91/2.42 cnf(i_0_153, plain, (plus_plus(X1,ti(X1,X2))=plus_plus(X1,X2)|~cancel_semigroup_add(X1))). 14.91/2.42 cnf(i_0_693, plain, (plus_plus(X1,ti(X1,X2))=plus_plus(X1,X2)|~ab_semigroup_add(X1))). 14.91/2.42 cnf(i_0_722, plain, (minus_minus(X1,ti(X1,X2))=minus_minus(X1,X2)|~group_add(X1))). 14.91/2.42 cnf(i_0_302, plain, (power_power(X1,ti(X1,X2))=power_power(X1,X2)|~power(X1))). 14.91/2.42 cnf(i_0_578, plain, (ti(fun(nat,nat),minus_minus(nat,X1))=minus_minus(nat,X1))). 14.91/2.42 cnf(i_0_1518, plain, (twoSqu1929807760sum2sq(ti(product_prod(int,int),X1))=twoSqu1929807760sum2sq(X1))). 14.91/2.42 cnf(i_0_255, plain, (ti(fun(int,bool),zcong(X1,X2))=zcong(X1,X2))). 14.91/2.42 cnf(i_0_57, plain, (ti(fun(int,bool),wset(X1,X2))=wset(X1,X2))). 14.91/2.42 cnf(i_0_16, plain, (ti(fun(bool,fun(bool,bool)),fconj)=fconj)). 14.91/2.42 cnf(i_0_1093, plain, (plus_plus(X1,ti(X1,X2))=plus_plus(X1,X2)|~dvd(X1)|~linorder(X1)|~plus(X1))). 14.91/2.42 cnf(i_0_787, plain, (number_number_of(X3,X1)=number_number_of(X3,X2)|ti(int,X1)!=ti(int,X2)|~number_ring(X3)|~ring_char_0(X3))). 14.91/2.42 cnf(i_0_786, plain, (ti(int,X2)=ti(int,X3)|number_number_of(X1,X2)!=number_number_of(X1,X3)|~number_ring(X1)|~ring_char_0(X1))). 14.91/2.42 cnf(i_0_563, plain, (ti(fun(nat,X1),power_power(X1,X2))=power_power(X1,X2)|~power(X1))). 14.91/2.42 cnf(i_0_1723, plain, (ti(fun(X1,X1),times_times(X1,X2))=times_times(X1,X2)|~dvd(X1))). 14.91/2.42 cnf(i_0_1155, plain, (ti(fun(X1,X1),plus_plus(X1,X2))=plus_plus(X1,X2)|~cancel_semigroup_add(X1))). 14.91/2.42 cnf(i_0_226, plain, (ti(fun(X1,X1),plus_plus(X1,X2))=plus_plus(X1,X2)|~ab_semigroup_add(X1))). 14.91/2.42 cnf(i_0_1687, plain, (ti(fun(X1,X1),minus_minus(X1,X2))=minus_minus(X1,X2)|~group_add(X1))). 14.91/2.42 cnf(i_0_40, plain, (ti(fun(X1,X1),times_times(X1,X2))=times_times(X1,X2)|~no_zero_divisors(X1))). 14.91/2.42 cnf(i_0_1212, plain, (ti(fun(X1,X1),times_times(X1,X2))=times_times(X1,X2)|~semiring(X1))). 14.91/2.42 cnf(i_0_1628, plain, (ti(fun(X1,X1),times_times(X1,X2))=times_times(X1,X2)|~mult_zero(X1))). 14.91/2.42 cnf(i_0_223, plain, (ti(fun(X1,X1),times_times(X1,X2))=times_times(X1,X2)|~ab_semigroup_mult(X1))). 14.91/2.42 cnf(i_0_968, plain, (ti(fun(X1,X1),times_times(X1,X2))=times_times(X1,X2)|~power(X1))). 14.91/2.42 cnf(i_0_1639, plain, (ti(fun(X1,X1),plus_plus(X1,X2))=plus_plus(X1,X2)|~monoid_add(X1))). 14.91/2.42 cnf(i_0_971, plain, (ti(fun(X1,X1),div_mod(X1,X2))=div_mod(X1,X2)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_186, plain, (ti(fun(X1,X1),plus_plus(X1,X2))=plus_plus(X1,X2)|~dvd(X1)|~linorder(X1)|~plus(X1))). 14.91/2.42 cnf(i_0_589, plain, (ti(fun(X1,fun(X1,bool)),ord_less(X1))=ord_less(X1)|~order(X1))). 14.91/2.42 cnf(i_0_818, plain, (ti(fun(X1,fun(X1,bool)),dvd_dvd(X1))=dvd_dvd(X1)|~dvd(X1))). 14.91/2.42 cnf(i_0_332, plain, (ti(fun(X1,fun(X1,bool)),ord_less_eq(X1))=ord_less_eq(X1)|~order(X1))). 14.91/2.42 cnf(i_0_1570, plain, (ti(fun(fun(X1,bool),bool),member(X1,X2))=member(X1,X2))). 14.91/2.42 cnf(i_0_714, plain, (ti(fun(X1,bool),ti(fun(X1,bool),X2))=ti(fun(X1,bool),X2))). 14.91/2.42 cnf(i_0_322, plain, (ti(fun(X1,bool),ti(fun(X1,bool),X2))=ti(fun(X1,bool),X2))). 14.91/2.42 cnf(i_0_1, plain, (hAPP(int,int,plus_plus(int,pls),pls)=pls)). 14.91/2.42 cnf(i_0_636, plain, (hAPP(int,int,times_times(int,pls),X1)=pls)). 14.91/2.42 cnf(i_0_1337, plain, (hAPP(int,int,div_mod(int,X1),X1)=zero_zero(int))). 14.91/2.42 cnf(i_0_809, plain, (hAPP(nat,nat,minus_minus(nat,X1),X1)=zero_zero(nat))). 14.91/2.42 cnf(i_0_890, plain, (hAPP(nat,nat,times_times(nat,X1),one_one(nat))=X1)). 14.91/2.42 cnf(i_0_1677, plain, (hAPP(nat,nat,plus_plus(nat,X1),zero_zero(nat))=X1)). 14.91/2.42 cnf(i_0_1329, plain, (hAPP(nat,nat,minus_minus(nat,X1),zero_zero(nat))=X1)). 14.91/2.42 cnf(i_0_1474, plain, (hAPP(nat,nat,times_times(nat,X1),zero_zero(nat))=zero_zero(nat))). 14.91/2.42 cnf(i_0_320, plain, (hAPP(nat,nat,plus_plus(nat,zero_zero(nat)),X1)=X1)). 14.91/2.42 cnf(i_0_860, plain, (hAPP(nat,nat,times_times(nat,one_one(nat)),X1)=X1)). 14.91/2.42 cnf(i_0_843, plain, (hAPP(real,real,times_times(real,one_one(real)),X1)=X1)). 14.91/2.42 cnf(i_0_1038, plain, (hAPP(nat,nat,power_power(nat,X2),X1)=one_one(nat)|X1!=zero_zero(nat))). 14.91/2.42 cnf(i_0_1037, plain, (hAPP(nat,nat,power_power(nat,X1),X2)=one_one(nat)|one_one(nat)!=X1)). 14.91/2.42 cnf(i_0_1075, plain, (hAPP(nat,nat,power_power(nat,X2),X1)=one_one(nat)|X1!=zero_zero(nat))). 14.91/2.42 cnf(i_0_1575, plain, (hAPP(nat,nat,times_times(nat,X2),X1)=zero_zero(nat)|zero_zero(nat)!=X1)). 14.91/2.42 cnf(i_0_1098, plain, (hAPP(nat,nat,times_times(nat,X1),X2)=zero_zero(nat)|zero_zero(nat)!=X1)). 14.91/2.42 cnf(i_0_1574, plain, (hAPP(nat,nat,times_times(nat,X1),X2)=zero_zero(nat)|zero_zero(nat)!=X1)). 14.91/2.42 cnf(i_0_383, plain, (hAPP(int,int,div_mod(int,zero_zero(int)),X1)=zero_zero(int))). 14.91/2.42 cnf(i_0_581, plain, (hAPP(nat,nat,minus_minus(nat,zero_zero(nat)),X1)=zero_zero(nat))). 14.91/2.42 cnf(i_0_143, plain, (hAPP(nat,nat,times_times(nat,zero_zero(nat)),X1)=zero_zero(nat))). 14.91/2.42 cnf(i_0_1025, plain, (hAPP(int,int,plus_plus(int,pls),X1)=ti(int,X1))). 14.91/2.42 cnf(i_0_1509, plain, (hAPP(int,int,minus_minus(int,X1),pls)=ti(int,X1))). 14.91/2.42 cnf(i_0_218, plain, (hAPP(int,int,plus_plus(int,X1),pls)=ti(int,X1))). 14.91/2.42 cnf(i_0_1418, plain, (X2=zero_zero(nat)|hAPP(nat,nat,power_power(nat,X1),X2)=zero_zero(nat)|X1!=zero_zero(nat))). 14.91/2.42 cnf(i_0_417, plain, (hAPP(nat,nat,times_times(nat,X2),X1)=one_one(nat)|X2!=one_one(nat)|one_one(nat)!=X1)). 14.91/2.42 cnf(i_0_841, plain, (hAPP(nat,nat,times_times(nat,X1),X2)=one_one(nat)|X1!=one_one(nat)|one_one(nat)!=X2)). 14.91/2.42 cnf(i_0_788, plain, (hAPP(nat,nat,times_times(nat,X1),X2)=one_one(nat)|X1!=one_one(nat)|one_one(nat)!=X2)). 14.91/2.42 cnf(i_0_431, plain, (hAPP(nat,nat,plus_plus(nat,X1),X2)=zero_zero(nat)|X1!=zero_zero(nat)|zero_zero(nat)!=X2)). 14.91/2.42 cnf(i_0_348, plain, (hAPP(int,int,times_times(int,X1),one_one(int))=ti(int,X1))). 14.91/2.42 cnf(i_0_1126, plain, (hAPP(int,int,plus_plus(int,X1),zero_zero(int))=ti(int,X1))). 14.91/2.42 cnf(i_0_1332, plain, (hAPP(X1,X1,minus_minus(X1,X2),X2)=zero_zero(X1)|~group_add(X1))). 14.91/2.42 cnf(i_0_1319, plain, (hAPP(X1,X1,div_mod(X1,X2),X2)=zero_zero(X1)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_802, plain, (hAPP(int,int,plus_plus(int,zero_zero(int)),X1)=ti(int,X1))). 14.91/2.42 cnf(i_0_1146, plain, (hAPP(int,int,times_times(int,one_one(int)),X1)=ti(int,X1))). 14.91/2.42 cnf(i_0_532, plain, (hAPP(nat,X1,power_power(X1,X2),zero_zero(nat))=one_one(X1)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_707, plain, (hAPP(nat,X1,power_power(X1,X2),zero_zero(nat))=one_one(X1)|~power(X1))). 14.91/2.42 cnf(i_0_611, plain, (hAPP(int,int,plus_plus(int,X1),X1)=pls|ti(int,X1)!=pls)). 14.91/2.42 cnf(i_0_1324, plain, (hAPP(int,int,plus_plus(int,X1),X1)=pls|ti(int,X1)!=pls)). 14.91/2.42 cnf(i_0_1596, plain, (hAPP(nat,X2,power_power(X2,X3),X1)=one_one(X2)|X1!=zero_zero(nat)|~power(X2))). 14.91/2.42 cnf(i_0_1296, plain, (hAPP(int,int,div_mod(int,X1),number_number_of(int,min))=zero_zero(int))). 14.91/2.42 cnf(i_0_1013, plain, (hAPP(X1,X1,times_times(X1,X2),zero_zero(X1))=zero_zero(X1)|~real_normed_algebra(X1))). 14.91/2.42 cnf(i_0_893, plain, (hAPP(X1,X1,times_times(X1,X2),zero_zero(X1))=zero_zero(X1)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_79, plain, (hAPP(X1,X1,times_times(X1,X2),zero_zero(X1))=zero_zero(X1)|~real_normed_algebra(X1))). 14.91/2.42 cnf(i_0_1182, plain, (hAPP(X1,X1,times_times(X1,X2),zero_zero(X1))=zero_zero(X1)|~mult_zero(X1))). 14.91/2.42 cnf(i_0_1621, plain, (hAPP(X1,X1,div_mod(X1,X2),one_one(X1))=zero_zero(X1)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_217, plain, (hAPP(nat,X1,power_power(X1,one_one(X1)),X2)=one_one(X1)|~monoid_mult(X1))). 14.91/2.42 cnf(i_0_1144, plain, (hAPP(nat,X1,power_power(X1,X2),one_one(nat))=ti(X1,X2)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_557, plain, (hAPP(nat,X1,power_power(X1,X2),one_one(nat))=ti(X1,X2)|~monoid_mult(X1))). 14.91/2.42 cnf(i_0_488, plain, (hAPP(X1,X1,times_times(X1,zero_zero(X1)),X2)=zero_zero(X1)|~real_normed_algebra(X1))). 14.91/2.42 cnf(i_0_907, plain, (hAPP(X1,X1,times_times(X1,zero_zero(X1)),X2)=zero_zero(X1)|~real_normed_algebra(X1))). 14.91/2.42 cnf(i_0_1299, plain, (hAPP(X1,X1,times_times(X1,zero_zero(X1)),X2)=zero_zero(X1)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_1620, plain, (hAPP(X1,X1,times_times(X1,zero_zero(X1)),X2)=zero_zero(X1)|~mult_zero(X1))). 14.91/2.42 cnf(i_0_449, plain, (hAPP(X1,X1,div_mod(X1,zero_zero(X1)),X2)=zero_zero(X1)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_1599, plain, (hAPP(X1,X1,times_times(X1,X2),one_one(X1))=ti(X1,X2)|~comm_monoid_mult(X1))). 14.91/2.42 cnf(i_0_1559, plain, (hAPP(X1,X1,plus_plus(X1,X2),zero_zero(X1))=ti(X1,X2)|~comm_monoid_add(X1))). 14.91/2.42 cnf(i_0_52, plain, (hAPP(X1,X1,div_mod(X1,X2),zero_zero(X1))=ti(X1,X2)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_1415, plain, (hAPP(X1,X1,times_times(X1,X2),one_one(X1))=ti(X1,X2)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_360, plain, (hAPP(X1,X1,times_times(X1,X2),one_one(X1))=ti(X1,X2)|~monoid_mult(X1))). 14.91/2.42 cnf(i_0_113, plain, (hAPP(X1,X1,plus_plus(X1,X2),zero_zero(X1))=ti(X1,X2)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_412, plain, (hAPP(X1,X1,plus_plus(X1,X2),zero_zero(X1))=ti(X1,X2)|~monoid_add(X1))). 14.91/2.42 cnf(i_0_779, plain, (hAPP(X1,X1,minus_minus(X1,X2),zero_zero(X1))=ti(X1,X2)|~group_add(X1))). 14.91/2.42 cnf(i_0_1274, plain, (zero_zero(nat)=X1|hAPP(nat,X2,power_power(X2,zero_zero(X2)),X1)=zero_zero(X2)|~semiring_0(X2)|~power(X2))). 14.91/2.42 cnf(i_0_432, plain, (hAPP(X1,X1,times_times(X1,one_one(X1)),X2)=ti(X1,X2)|~monoid_mult(X1))). 14.91/2.42 cnf(i_0_1196, plain, (hAPP(X1,X1,plus_plus(X1,zero_zero(X1)),X2)=ti(X1,X2)|~comm_monoid_add(X1))). 14.91/2.42 cnf(i_0_992, plain, (hAPP(X1,X1,times_times(X1,one_one(X1)),X2)=ti(X1,X2)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_1112, plain, (hAPP(X1,X1,times_times(X1,one_one(X1)),X2)=ti(X1,X2)|~comm_monoid_mult(X1))). 14.91/2.42 cnf(i_0_185, plain, (hAPP(X1,X1,plus_plus(X1,zero_zero(X1)),X2)=ti(X1,X2)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_750, plain, (hAPP(X1,X1,plus_plus(X1,zero_zero(X1)),X2)=ti(X1,X2)|~monoid_add(X1))). 14.91/2.42 cnf(i_0_1275, plain, (hAPP(nat,X2,power_power(X2,zero_zero(X2)),X1)=one_one(X2)|X1!=zero_zero(nat)|~semiring_0(X2)|~power(X2))). 14.91/2.42 cnf(i_0_775, plain, (hAPP(X1,X1,plus_plus(X1,X2),X2)=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~linord219039673up_add(X1))). 14.91/2.42 cnf(i_0_1585, plain, (hAPP(X1,X1,times_times(X1,X3),X2)=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~ring_n68954251visors(X1))). 14.91/2.42 cnf(i_0_1584, plain, (hAPP(X1,X1,times_times(X1,X2),X3)=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~ring_n68954251visors(X1))). 14.91/2.42 cnf(i_0_597, plain, (hAPP(X1,X1,plus_plus(X1,X2),X2)=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~linord219039673up_add(X1))). 14.91/2.42 cnf(i_0_656, plain, (hAPP(X1,X1,plus_plus(X1,X2),number_number_of(X1,pls))=ti(X1,X2)|~number_ring(X1))). 14.91/2.42 cnf(i_0_676, plain, (hAPP(int,int,times_times(int,X1),X2)=one_one(int)|ti(int,X1)!=one_one(int)|ti(int,X2)!=one_one(int))). 14.91/2.42 cnf(i_0_1079, plain, (hAPP(X1,X1,plus_plus(X1,X3),X2)=ti(X1,X3)|ti(X1,X2)!=zero_zero(X1)|~semiri456707255roduct(X1))). 14.91/2.42 cnf(i_0_725, plain, (hAPP(X1,X1,times_times(X1,X2),number_number_of(X1,bit1(pls)))=ti(X1,X2)|~number_ring(X1))). 14.91/2.42 cnf(i_0_407, plain, (hAPP(X1,X1,minus_minus(X1,X3),X2)=zero_zero(X1)|ti(X1,X2)!=ti(X1,X3)|~group_add(X1))). 14.91/2.42 cnf(i_0_1374, plain, (hAPP(X1,X1,minus_minus(X1,X3),X2)=zero_zero(X1)|ti(X1,X2)!=ti(X1,X3)|~ab_group_add(X1))). 14.91/2.42 cnf(i_0_861, plain, (X1=zero_zero(nat)|hAPP(nat,X2,power_power(X2,X3),X1)=zero_zero(X2)|ti(X2,X3)!=zero_zero(X2)|~no_zero_divisors(X2)|~mult_zero(X2)|~power(X2)|~zero_neq_one(X2))). 14.91/2.42 cnf(i_0_871, plain, (hAPP(X1,X1,plus_plus(X1,number_number_of(X1,pls)),X2)=ti(X1,X2)|~number_ring(X1))). 14.91/2.42 cnf(i_0_385, plain, (number_number_of(nat,X1)=zero_zero(nat)|hAPP(nat,X2,power_power(X2,zero_zero(X2)),number_number_of(nat,X1))=zero_zero(X2)|~semiring_0(X2)|~power(X2))). 14.91/2.42 cnf(i_0_675, plain, (hAPP(int,int,times_times(int,X2),X1)=one_one(int)|ti(int,X2)!=number_number_of(int,min)|ti(int,X1)!=number_number_of(int,min))). 14.91/2.42 cnf(i_0_384, plain, (hAPP(nat,X2,power_power(X2,zero_zero(X2)),number_number_of(nat,X1))=one_one(X2)|number_number_of(nat,X1)!=zero_zero(nat)|~semiring_0(X2)|~power(X2))). 14.91/2.42 cnf(i_0_263, plain, (hAPP(X1,X1,times_times(X1,number_number_of(X1,bit1(pls))),X2)=ti(X1,X2)|~number_ring(X1))). 14.91/2.42 cnf(i_0_440, plain, (number_number_of(nat,X1)=zero_zero(nat)|hAPP(nat,X2,power_power(X2,X3),number_number_of(nat,X1))=zero_zero(X2)|ti(X2,X3)!=zero_zero(X2)|~no_zero_divisors(X2)|~mult_zero(X2)|~power(X2)|~zero_neq_one(X2))). 14.91/2.42 cnf(i_0_803, plain, (hAPP(int,int,plus_plus(int,X1),X1)!=min)). 14.91/2.42 cnf(i_0_1588, plain, (hAPP(int,int,plus_plus(int,X1),X1)!=min)). 14.91/2.42 cnf(i_0_316, plain, (X2=zero_zero(nat)|hAPP(nat,nat,plus_plus(nat,X1),X2)!=X1)). 14.91/2.42 cnf(i_0_894, plain, (bit1(X2)!=hAPP(int,int,plus_plus(int,X1),X1))). 14.91/2.42 cnf(i_0_895, plain, (bit1(X2)!=hAPP(int,int,plus_plus(int,X1),X1))). 14.91/2.42 cnf(i_0_1417, plain, (X1=zero_zero(nat)|hAPP(nat,nat,power_power(nat,X1),X2)!=zero_zero(nat))). 14.91/2.42 cnf(i_0_418, plain, (X1=one_one(nat)|hAPP(nat,nat,times_times(nat,X1),X2)!=one_one(nat))). 14.91/2.42 cnf(i_0_840, plain, (X1=one_one(nat)|hAPP(nat,nat,times_times(nat,X1),X2)!=one_one(nat))). 14.91/2.42 cnf(i_0_430, plain, (X1=zero_zero(nat)|hAPP(nat,nat,plus_plus(nat,X1),X2)!=zero_zero(nat))). 14.91/2.42 cnf(i_0_790, plain, (X1=one_one(nat)|hAPP(nat,nat,times_times(nat,X1),X2)!=one_one(nat))). 14.91/2.42 cnf(i_0_419, plain, (one_one(nat)=X1|hAPP(nat,nat,times_times(nat,X2),X1)!=one_one(nat))). 14.91/2.42 cnf(i_0_839, plain, (one_one(nat)=X1|hAPP(nat,nat,times_times(nat,X2),X1)!=one_one(nat))). 14.91/2.42 cnf(i_0_429, plain, (zero_zero(nat)=X1|hAPP(nat,nat,plus_plus(nat,X2),X1)!=zero_zero(nat))). 14.91/2.42 cnf(i_0_789, plain, (one_one(nat)=X1|hAPP(nat,nat,times_times(nat,X2),X1)!=one_one(nat))). 14.91/2.42 cnf(i_0_380, plain, (X2=one_one(nat)|X1=zero_zero(nat)|hAPP(nat,nat,times_times(nat,X1),X2)!=X1)). 14.91/2.42 cnf(i_0_1416, plain, (X1!=zero_zero(nat)|hAPP(nat,nat,power_power(nat,X2),X1)!=zero_zero(nat))). 14.91/2.42 cnf(i_0_1039, plain, (X2=zero_zero(nat)|one_one(nat)=X1|hAPP(nat,nat,power_power(nat,X1),X2)!=one_one(nat))). 14.91/2.42 cnf(i_0_1576, plain, (zero_zero(nat)=X2|zero_zero(nat)=X1|hAPP(nat,nat,times_times(nat,X1),X2)!=zero_zero(nat))). 14.91/2.42 cnf(i_0_612, plain, (ti(int,X1)=pls|hAPP(int,int,plus_plus(int,X1),X1)!=pls)). 14.91/2.42 cnf(i_0_1325, plain, (ti(int,X1)=pls|hAPP(int,int,plus_plus(int,X1),X1)!=pls)). 14.91/2.42 cnf(i_0_1611, plain, (ti(X1,X2)=zero_zero(X1)|hAPP(nat,X1,power_power(X1,X2),X3)!=zero_zero(X1)|~ring_11004092258visors(X1))). 14.91/2.42 cnf(i_0_774, plain, (ti(X1,X2)=zero_zero(X1)|hAPP(X1,X1,plus_plus(X1,X2),X2)!=zero_zero(X1)|~linord219039673up_add(X1))). 14.91/2.42 cnf(i_0_598, plain, (ti(X1,X2)=zero_zero(X1)|hAPP(X1,X1,plus_plus(X1,X2),X2)!=zero_zero(X1)|~linord219039673up_add(X1))). 14.91/2.42 cnf(i_0_674, plain, (ti(int,X2)=one_one(int)|ti(int,X1)=number_number_of(int,min)|hAPP(int,int,times_times(int,X2),X1)!=one_one(int))). 14.91/2.42 cnf(i_0_673, plain, (ti(int,X1)=one_one(int)|ti(int,X1)=number_number_of(int,min)|hAPP(int,int,times_times(int,X1),X2)!=one_one(int))). 14.91/2.42 cnf(i_0_164, plain, (ti(int,X1)=one_one(int)|ti(int,X1)=number_number_of(int,min)|hAPP(int,int,times_times(int,X1),X2)!=one_one(int))). 14.91/2.42 cnf(i_0_671, plain, (ti(int,X2)=one_one(int)|ti(int,X1)=number_number_of(int,min)|hAPP(int,int,times_times(int,X1),X2)!=one_one(int))). 14.91/2.42 cnf(i_0_672, plain, (ti(int,X1)=one_one(int)|ti(int,X1)=number_number_of(int,min)|hAPP(int,int,times_times(int,X2),X1)!=one_one(int))). 14.91/2.42 cnf(i_0_863, plain, (X1!=zero_zero(nat)|hAPP(nat,X2,power_power(X2,X3),X1)!=zero_zero(X2)|~no_zero_divisors(X2)|~mult_zero(X2)|~power(X2)|~zero_neq_one(X2))). 14.91/2.42 cnf(i_0_408, plain, (ti(X1,X2)=ti(X1,X3)|hAPP(X1,X1,minus_minus(X1,X2),X3)!=zero_zero(X1)|~group_add(X1))). 14.91/2.42 cnf(i_0_1375, plain, (ti(X1,X2)=ti(X1,X3)|hAPP(X1,X1,minus_minus(X1,X2),X3)!=zero_zero(X1)|~ab_group_add(X1))). 14.91/2.42 cnf(i_0_1080, plain, (ti(X1,X3)=zero_zero(X1)|hAPP(X1,X1,plus_plus(X1,X2),X3)!=ti(X1,X2)|~semiri456707255roduct(X1))). 14.91/2.42 cnf(i_0_1624, plain, (ti(X1,X3)=zero_zero(X1)|ti(X1,X2)=zero_zero(X1)|hAPP(X1,X1,times_times(X1,X2),X3)!=zero_zero(X1)|~no_zero_divisors(X1))). 14.91/2.42 cnf(i_0_1526, plain, (ti(X1,X2)=zero_zero(X1)|ti(X1,X3)=zero_zero(X1)|hAPP(X1,X1,times_times(X1,X2),X3)!=zero_zero(X1)|~no_zero_divisors(X1))). 14.91/2.42 cnf(i_0_1586, plain, (ti(X1,X3)=zero_zero(X1)|ti(X1,X2)=zero_zero(X1)|hAPP(X1,X1,times_times(X1,X2),X3)!=zero_zero(X1)|~ring_n68954251visors(X1))). 14.91/2.42 cnf(i_0_862, plain, (ti(X1,X2)=zero_zero(X1)|hAPP(nat,X1,power_power(X1,X2),X3)!=zero_zero(X1)|~no_zero_divisors(X1)|~mult_zero(X1)|~power(X1)|~zero_neq_one(X1))). 14.91/2.42 cnf(i_0_650, plain, (product_Pair(int,int,X1,ti(int,X2))=product_Pair(int,int,X1,X2))). 14.91/2.42 cnf(i_0_1339, plain, (product_Pair(int,int,ti(int,X1),X2)=product_Pair(int,int,X1,X2))). 14.91/2.42 cnf(i_0_438, plain, (ti(X1,X2)=zero_zero(X1)|hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,X3))!=zero_zero(X1)|~no_zero_divisors(X1)|~mult_zero(X1)|~power(X1)|~zero_neq_one(X1))). 14.91/2.42 cnf(i_0_881, plain, (hAPP(X1,X2,X3,ti(X1,X4))=hAPP(X1,X2,X3,X4))). 14.91/2.42 cnf(i_0_439, plain, (number_number_of(nat,X1)!=zero_zero(nat)|hAPP(nat,X2,power_power(X2,X3),number_number_of(nat,X1))!=zero_zero(X2)|~no_zero_divisors(X2)|~mult_zero(X2)|~power(X2)|~zero_neq_one(X2))). 14.91/2.42 cnf(i_0_738, plain, (hAPP(int,int,times_times(int,X1),X2)=hAPP(int,int,times_times(int,X2),X1))). 14.91/2.42 cnf(i_0_1195, plain, (hAPP(int,int,plus_plus(int,X1),X2)=hAPP(int,int,plus_plus(int,X2),X1))). 14.91/2.42 cnf(i_0_549, plain, (hAPP(nat,nat,times_times(nat,X1),X2)=hAPP(nat,nat,times_times(nat,X2),X1))). 14.91/2.42 cnf(i_0_318, plain, (hAPP(nat,nat,plus_plus(nat,X1),X2)=hAPP(nat,nat,plus_plus(nat,X2),X1))). 14.91/2.42 cnf(i_0_239, plain, (hAPP(real,real,times_times(real,X1),X2)=hAPP(real,real,times_times(real,X2),X1))). 14.91/2.42 cnf(i_0_1159, plain, (hAPP(nat,nat,times_times(nat,X1),X2)=hAPP(nat,nat,times_times(nat,X1),X3)|X1!=zero_zero(nat))). 14.91/2.42 cnf(i_0_1173, plain, (hAPP(nat,nat,times_times(nat,X2),X1)=hAPP(nat,nat,times_times(nat,X3),X1)|zero_zero(nat)!=X1)). 14.91/2.42 cnf(i_0_527, plain, (hAPP(nat,nat,times_times(nat,X1),X2)=hAPP(nat,nat,times_times(nat,X1),X3)|zero_zero(nat)!=X1)). 14.91/2.42 cnf(i_0_727, plain, (hBOOL(hAPP(int,bool,zcong(X1,X1),X2)))). 14.91/2.42 cnf(i_0_390, plain, (hBOOL(hAPP(int,bool,zcong(X1,X2),one_one(int))))). 14.91/2.42 cnf(i_0_133, plain, (hAPP(X1,X1,times_times(X1,X2),X3)=hAPP(X1,X1,times_times(X1,X3),X2)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_655, plain, (hAPP(X1,X1,plus_plus(X1,X2),X3)=hAPP(X1,X1,plus_plus(X1,X3),X2)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_1536, plain, (hBOOL(hAPP(int,bool,zcong(X1,zero_zero(int)),X1)))). 14.91/2.42 cnf(i_0_990, plain, (hAPP(int,int,div_mod(int,X2),ti(int,X1))=hAPP(int,int,div_mod(int,X2),X1))). 14.91/2.42 cnf(i_0_45, plain, (hAPP(X1,X2,ti(fun(X1,X2),X3),X4)=hAPP(X1,X2,X3,X4))). 14.91/2.42 cnf(i_0_1029, plain, (hAPP(int,int,plus_plus(int,X1),X1)=hAPP(int,int,plus_plus(int,X2),X2)|ti(int,X1)!=ti(int,X2))). 14.91/2.42 cnf(i_0_982, plain, (hAPP(int,int,div_mod(int,ti(int,X2)),X1)=hAPP(int,int,div_mod(int,X2),X1))). 14.91/2.42 cnf(i_0_1331, plain, (hBOOL(hAPP(int,bool,zcong(X2,X1),zero_zero(int)))|ti(int,X1)!=ti(int,X2))). 14.91/2.42 cnf(i_0_1728, plain, (hAPP(X1,X1,plus_plus(X1,X4),X2)=hAPP(X1,X1,plus_plus(X1,X4),X3)|ti(X1,X2)!=ti(X1,X3)|~cancel_semigroup_add(X1))). 14.91/2.42 cnf(i_0_555, plain, (hAPP(X1,X1,plus_plus(X1,X2),X4)=hAPP(X1,X1,plus_plus(X1,X3),X4)|ti(X1,X2)!=ti(X1,X3)|~cancel_semigroup_add(X1))). 14.91/2.42 cnf(i_0_1552, hypothesis, (hAPP(int,int,plus_plus(int,ti(int,X1)),ti(int,X1))=hAPP(int,int,plus_plus(int,X1),X1))). 14.91/2.42 cnf(i_0_240, plain, (hAPP(nat,int,power_power(int,number_number_of(int,min)),X1)=one_one(int)|hAPP(nat,int,power_power(int,number_number_of(int,min)),X1)=number_number_of(int,min))). 14.91/2.42 cnf(i_0_1168, plain, (hAPP(nat,nat,div_mod(nat,X1),X2)=zero_zero(nat)|X1!=hAPP(nat,nat,times_times(nat,X2),X3))). 14.91/2.42 cnf(i_0_911, plain, (hAPP(int,int,div_mod(int,X1),X2)=zero_zero(int)|ti(int,X1)!=hAPP(int,int,times_times(int,X2),X3))). 14.91/2.42 cnf(i_0_1167, plain, (hAPP(nat,nat,times_times(nat,X2),esk25_2(X1,X2))=X1|hAPP(nat,nat,div_mod(nat,X1),X2)!=zero_zero(nat))). 14.91/2.42 cnf(i_0_236, plain, (hAPP(int,int,plus_plus(int,X3),X2)=ti(int,X1)|hAPP(int,int,minus_minus(int,X1),X2)!=ti(int,X3))). 14.91/2.42 cnf(i_0_910, plain, (hAPP(int,int,times_times(int,X2),esk17_2(X1,X2))=ti(int,X1)|hAPP(int,int,div_mod(int,X1),X2)!=zero_zero(int))). 14.91/2.42 cnf(i_0_213, plain, (hAPP(int,int,times_times(int,X2),esk5_2(X1,X2))=ti(int,X1)|hAPP(int,int,div_mod(int,X1),X2)!=zero_zero(int))). 14.91/2.42 cnf(i_0_601, plain, (ti(X1,hAPP(X2,X1,X3,X4))=hAPP(X2,X1,X3,X4))). 14.91/2.42 cnf(i_0_1343, plain, (ti(product_prod(int,int),product_Pair(int,int,X1,X2))=product_Pair(int,int,X1,X2))). 14.91/2.42 cnf(i_0_1558, plain, (bit1(hAPP(int,int,minus_minus(int,min),X1))=hAPP(int,int,minus_minus(int,pls),bit1(X1)))). 14.91/2.42 cnf(i_0_364, plain, (hAPP(nat,nat,minus_minus(nat,X1),hAPP(nat,nat,plus_plus(nat,X1),X2))=zero_zero(nat))). 14.91/2.42 cnf(i_0_415, hypothesis, (ti(int,hAPP(int,int,plus_plus(int,X1),X1))=hAPP(int,int,plus_plus(int,X1),X1))). 14.91/2.42 cnf(i_0_346, plain, (ti(int,hAPP(int,int,div_mod(int,X2),X1))=hAPP(int,int,div_mod(int,X2),X1))). 14.91/2.42 cnf(i_0_1211, plain, (number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))=hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))). 14.91/2.42 cnf(i_0_1370, plain, (X2=X3|hAPP(nat,nat,plus_plus(nat,X1),X2)!=hAPP(nat,nat,plus_plus(nat,X1),X3))). 14.91/2.42 cnf(i_0_8, plain, (X1=X3|hAPP(nat,nat,plus_plus(nat,X1),X2)!=hAPP(nat,nat,plus_plus(nat,X3),X2))). 14.91/2.42 cnf(i_0_1157, plain, (X2=X3|X1=zero_zero(nat)|hAPP(nat,nat,times_times(nat,X1),X2)!=hAPP(nat,nat,times_times(nat,X1),X3))). 14.91/2.42 cnf(i_0_1667, plain, (X1=X3|X2=zero_zero(real)|hAPP(real,real,times_times(real,X1),X2)!=hAPP(real,real,times_times(real,X3),X2))). 14.91/2.42 cnf(i_0_528, plain, (X2=X3|zero_zero(nat)=X1|hAPP(nat,nat,times_times(nat,X1),X2)!=hAPP(nat,nat,times_times(nat,X1),X3))). 14.91/2.42 cnf(i_0_71, plain, (X2=X3|zero_zero(real)=X1|hAPP(real,real,times_times(real,X1),X2)!=hAPP(real,real,times_times(real,X1),X3))). 14.91/2.42 cnf(i_0_1171, plain, (X1=X3|zero_zero(nat)=X2|hAPP(nat,nat,times_times(nat,X1),X2)!=hAPP(nat,nat,times_times(nat,X3),X2))). 14.91/2.42 cnf(i_0_534, plain, (X1=X2|hAPP(nat,nat,minus_minus(nat,X2),X1)!=zero_zero(nat)|hAPP(nat,nat,minus_minus(nat,X1),X2)!=zero_zero(nat))). 14.91/2.42 cnf(i_0_313, plain, (hAPP(X1,X1,plus_plus(X1,one_one(X1)),one_one(X1))=number_number_of(X1,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))|~number_semiring(X1))). 14.91/2.42 cnf(i_0_157, plain, (number_number_of(X1,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))=hAPP(X1,X1,plus_plus(X1,one_one(X1)),one_one(X1))|~number_ring(X1))). 14.91/2.42 cnf(i_0_1028, plain, (ti(int,X1)=ti(int,X2)|hAPP(int,int,plus_plus(int,X1),X1)!=hAPP(int,int,plus_plus(int,X2),X2))). 14.91/2.42 cnf(i_0_1734, plain, (number_number_of(X1,hAPP(int,int,plus_plus(int,bit1(pls)),X2))=hAPP(X1,X1,plus_plus(X1,one_one(X1)),number_number_of(X1,X2))|~number_ring(X1))). 14.91/2.42 cnf(i_0_1127, plain, (hAPP(int,int,times_times(int,number_number_of(int,X1)),number_number_of(int,X2))=number_number_of(int,hAPP(int,int,times_times(int,X1),X2)))). 14.91/2.42 cnf(i_0_934, plain, (hAPP(int,int,plus_plus(int,number_number_of(int,X1)),number_number_of(int,X2))=number_number_of(int,hAPP(int,int,plus_plus(int,X1),X2)))). 14.91/2.42 cnf(i_0_1330, plain, (ti(int,X1)=ti(int,X2)|~hBOOL(hAPP(int,bool,zcong(X1,X2),zero_zero(int))))). 14.91/2.42 cnf(i_0_585, plain, (legendre(X1,X2)=zero_zero(int)|~hBOOL(hAPP(int,bool,zcong(X1,zero_zero(int)),X2)))). 14.91/2.42 cnf(i_0_785, plain, (hAPP(X1,X1,plus_plus(X1,number_number_of(X1,X2)),one_one(X1))=number_number_of(X1,hAPP(int,int,plus_plus(int,X2),bit1(pls)))|~number_ring(X1))). 14.91/2.42 cnf(i_0_1525, plain, (ti(X1,X3)=ti(X1,X4)|hAPP(X1,X1,plus_plus(X1,X2),X3)!=hAPP(X1,X1,plus_plus(X1,X2),X4)|~cancel_semigroup_add(X1))). 14.91/2.42 cnf(i_0_1729, plain, (ti(X1,X3)=ti(X1,X4)|hAPP(X1,X1,plus_plus(X1,X2),X3)!=hAPP(X1,X1,plus_plus(X1,X2),X4)|~cancel_semigroup_add(X1))). 14.91/2.42 cnf(i_0_988, plain, (ti(X1,X3)=ti(X1,X4)|hAPP(X1,X1,plus_plus(X1,X2),X3)!=hAPP(X1,X1,plus_plus(X1,X2),X4)|~cancel146912293up_add(X1))). 14.91/2.42 cnf(i_0_556, plain, (ti(X1,X2)=ti(X1,X4)|hAPP(X1,X1,plus_plus(X1,X2),X3)!=hAPP(X1,X1,plus_plus(X1,X4),X3)|~cancel_semigroup_add(X1))). 14.91/2.42 cnf(i_0_1632, plain, (ti(X1,X2)=ti(X1,X4)|hAPP(X1,X1,plus_plus(X1,X2),X3)!=hAPP(X1,X1,plus_plus(X1,X4),X3)|~cancel_semigroup_add(X1))). 14.91/2.42 cnf(i_0_912, plain, (hAPP(X1,X1,times_times(X1,number_number_of(X1,X2)),number_number_of(X1,X3))=number_number_of(X1,hAPP(int,int,times_times(int,X2),X3))|~number_ring(X1))). 14.91/2.42 cnf(i_0_979, plain, (hAPP(X1,X1,times_times(X1,number_number_of(X1,X2)),number_number_of(X1,X3))=number_number_of(X1,hAPP(int,int,times_times(int,X2),X3))|~number_ring(X1))). 14.91/2.42 cnf(i_0_1342, plain, (hAPP(X1,X1,plus_plus(X1,number_number_of(X1,X2)),number_number_of(X1,X3))=number_number_of(X1,hAPP(int,int,plus_plus(int,X2),X3))|~number_ring(X1))). 14.91/2.42 cnf(i_0_1431, plain, (hAPP(X1,X1,plus_plus(X1,number_number_of(X1,X2)),number_number_of(X1,X3))=number_number_of(X1,hAPP(int,int,plus_plus(int,X2),X3))|~number_ring(X1))). 14.91/2.42 cnf(i_0_479, plain, (hAPP(X1,X1,minus_minus(X1,number_number_of(X1,X2)),number_number_of(X1,X3))=number_number_of(X1,hAPP(int,int,minus_minus(int,X2),X3))|~number_ring(X1))). 14.91/2.42 cnf(i_0_1647, plain, (ti(X1,X4)=ti(X1,X5)|ti(X1,X2)!=ti(X1,X3)|hAPP(X1,X1,minus_minus(X1,X3),X2)!=hAPP(X1,X1,minus_minus(X1,X4),X5)|~ab_group_add(X1))). 14.91/2.42 cnf(i_0_1648, plain, (ti(X1,X4)=ti(X1,X5)|ti(X1,X2)!=ti(X1,X3)|hAPP(X1,X1,minus_minus(X1,X2),X3)!=hAPP(X1,X1,minus_minus(X1,X5),X4)|~ab_group_add(X1))). 14.91/2.42 cnf(i_0_1336, plain, (hBOOL(hAPP(int,bool,zcong(X1,zero_zero(int)),X2))|hAPP(int,int,div_mod(int,X1),X2)!=zero_zero(int))). 14.91/2.42 cnf(i_0_1545, plain, (hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|hAPP(int,int,div_mod(int,X2),X1)!=zero_zero(int))). 14.91/2.42 cnf(i_0_584, plain, (legendre(X2,X1)=number_number_of(int,min)|hBOOL(hAPP(int,bool,quadRes(X1),X2))|hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1)))). 14.91/2.42 cnf(i_0_1335, plain, (hAPP(int,int,div_mod(int,X2),X1)=zero_zero(int)|~hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1)))). 14.91/2.42 cnf(i_0_1546, plain, (hAPP(int,int,div_mod(int,X1),X2)=zero_zero(int)|~hBOOL(hAPP(int,bool,zcong(X1,zero_zero(int)),X2)))). 14.91/2.42 cnf(i_0_225, plain, (hAPP(int,int,div_mod(int,X1),X2)=ti(int,X1)|~hBOOL(hAPP(fun(int,bool),bool,member(int,X1),sr(X2))))). 14.91/2.42 cnf(i_0_1014, plain, (hBOOL(hAPP(int,bool,twoSqu658283162sum2sq,X3))|twoSqu1929807760sum2sq(product_Pair(int,int,X1,X2))!=ti(int,X3))). 14.91/2.42 cnf(i_0_1015, plain, (twoSqu1929807760sum2sq(product_Pair(int,int,esk19_1(X1),esk20_1(X1)))=ti(int,X1)|~hBOOL(hAPP(int,bool,twoSqu658283162sum2sq,X1)))). 14.91/2.42 cnf(i_0_947, plain, (hAPP(int,int,minus_minus(int,min),hAPP(int,int,plus_plus(int,X1),X1))=bit1(hAPP(int,int,minus_minus(int,min),X1)))). 14.91/2.42 cnf(i_0_742, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,plus_plus(nat,X2),X1)),X2)=X1)). 14.91/2.42 cnf(i_0_74, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,plus_plus(nat,X1),X2)),X2)=X1)). 14.91/2.42 cnf(i_0_296, plain, (hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,X1,esk6_2(X2,X1))))). 14.91/2.42 cnf(i_0_148, plain, (hAPP(int,int,plus_plus(int,bit1(X1)),hAPP(int,int,plus_plus(int,X2),X2))=bit1(hAPP(int,int,plus_plus(int,X1),X2)))). 14.91/2.42 cnf(i_0_451, plain, (hAPP(int,int,minus_minus(int,bit1(X1)),hAPP(int,int,plus_plus(int,X2),X2))=bit1(hAPP(int,int,minus_minus(int,X1),X2)))). 14.91/2.42 cnf(i_0_1352, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),X1)),X1)=bit1(X1))). 14.91/2.42 cnf(i_0_583, plain, (legendre(X2,X1)=one_one(int)|hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,quadRes(X1),X2)))). 14.91/2.42 cnf(i_0_1714, plain, (hBOOL(hAPP(fun(X1,bool),bool,member(X1,X3),X2))|~hBOOL(hAPP(X1,bool,X2,X3)))). 14.91/2.42 cnf(i_0_468, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,times_times(X1,X2),X3)),X3)=zero_zero(X1)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_806, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,times_times(X1,X2),X3)),X2)=zero_zero(X1)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_1210, plain, (hBOOL(hAPP(int,bool,zcong(X1,X3),X2))|hAPP(int,int,div_mod(int,X1),X2)!=hAPP(int,int,div_mod(int,X3),X2))). 14.91/2.42 cnf(i_0_467, plain, (hAPP(X1,X1,minus_minus(X1,hAPP(X1,X1,plus_plus(X1,X2),X3)),X3)=ti(X1,X2)|~group_add(X1))). 14.91/2.42 cnf(i_0_422, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,minus_minus(X1,X2),X3)),X3)=ti(X1,X2)|~group_add(X1))). 14.91/2.42 cnf(i_0_2, plain, (hBOOL(hAPP(int,bool,zcong(X2,X1),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 14.91/2.42 cnf(i_0_3, plain, (hBOOL(hAPP(int,bool,zcong(X2,X1),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 14.91/2.42 cnf(i_0_271, plain, (hAPP(nat,X1,power_power(X1,zero_zero(X1)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))=zero_zero(X1)|~semiring_1(X1))). 14.91/2.42 cnf(i_0_1396, plain, (hAPP(nat,X1,power_power(X1,one_one(X1)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))=one_one(X1)|~semiring_1(X1))). 14.91/2.42 cnf(i_0_1715, plain, (hBOOL(hAPP(X1,bool,X3,X2))|~hBOOL(hAPP(fun(X1,bool),bool,member(X1,X2),X3)))). 14.91/2.42 cnf(i_0_162, plain, (hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~ring_11004092258visors(X1))). 14.91/2.42 cnf(i_0_1445, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),pls)))). 14.91/2.42 cnf(i_0_1010, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),min),pls)))). 14.91/2.42 cnf(i_0_1520, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),min),min)))). 14.91/2.42 cnf(i_0_1042, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),pls)))). 14.91/2.42 cnf(i_0_591, plain, (hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,X1),X2))|~hBOOL(X2)|~hBOOL(X1))). 14.91/2.42 cnf(i_0_350, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X1)))). 14.91/2.42 cnf(i_0_492, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X1)))). 14.91/2.42 cnf(i_0_728, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X1)))). 14.91/2.42 cnf(i_0_169, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X1)))). 14.91/2.42 cnf(i_0_1551, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),zero_zero(int))))). 14.91/2.42 cnf(i_0_1583, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X1))|X1!=X2)). 14.91/2.42 cnf(i_0_453, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2))|X1!=X2)). 14.91/2.42 cnf(i_0_454, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2))|X1!=X2)). 14.91/2.42 cnf(i_0_695, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2))|X1!=X2)). 14.91/2.42 cnf(i_0_696, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2))|X1!=X2)). 14.91/2.42 cnf(i_0_1058, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2))|X1!=X2)). 14.91/2.42 cnf(i_0_280, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|X1!=X2)). 14.91/2.42 cnf(i_0_760, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|X1!=X2)). 14.91/2.42 cnf(i_0_1321, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|X1!=X2)). 14.91/2.42 cnf(i_0_604, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X2),X1))|X1!=X2)). 14.91/2.42 cnf(i_0_1176, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),zero_zero(nat))))). 14.91/2.42 cnf(i_0_1578, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,plus_plus(X1,one_one(X1)),number_number_of(X1,X2))),number_number_of(X1,X2))=number_number_of(X1,bit1(X2))|~number_ring(X1))). 14.91/2.42 cnf(i_0_1489, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),s)))). 14.91/2.42 cnf(i_0_403, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk9_0)))). 14.91/2.42 cnf(i_0_1063, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk21_0)))). 14.91/2.42 cnf(i_0_609, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),t)))). 14.91/2.42 cnf(i_0_93, plain, (zero_zero(nat)=X1|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),zero_zero(nat))))). 14.91/2.42 cnf(i_0_1205, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),one_one(nat)))|X1!=one_one(nat))). 14.91/2.42 cnf(i_0_1359, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),one_one(nat)))|one_one(nat)!=X1)). 14.91/2.42 cnf(i_0_1710, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),zero_zero(nat)))|zero_zero(nat)!=X1)). 14.91/2.42 cnf(i_0_1279, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),one_one(nat)),X1)))). 14.91/2.42 cnf(i_0_720, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),X1)))). 14.91/2.42 cnf(i_0_807, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),X1)))). 14.91/2.42 cnf(i_0_1035, plain, (X1=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 14.91/2.42 cnf(i_0_1492, plain, (X1=one_one(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),one_one(nat)),X1)))). 14.91/2.42 cnf(i_0_1082, plain, (zero_zero(nat)=X1|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 14.91/2.42 cnf(i_0_518, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),zero_zero(nat)),X1))|zero_zero(nat)!=X1)). 14.91/2.42 cnf(i_0_1147, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),zero_zero(int))))). 14.91/2.42 cnf(i_0_889, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),one_one(int))))). 14.91/2.42 cnf(i_0_497, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),one_one(int))))). 14.91/2.42 cnf(i_0_817, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),pls))|number_number_of(nat,X1)!=zero_zero(nat))). 14.91/2.42 cnf(i_0_10, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),pls))|number_number_of(nat,X1)!=zero_zero(nat))). 14.91/2.42 cnf(i_0_574, plain, (hAPP(int,int,plus_plus(int,X1),hAPP(int,int,plus_plus(int,X2),X3))=hAPP(int,int,plus_plus(int,X2),hAPP(int,int,plus_plus(int,X1),X3)))). 14.91/2.42 cnf(i_0_896, plain, (hAPP(nat,nat,plus_plus(nat,X1),hAPP(nat,nat,plus_plus(nat,X2),X3))=hAPP(nat,nat,plus_plus(nat,X2),hAPP(nat,nat,plus_plus(nat,X1),X3)))). 14.91/2.42 cnf(i_0_743, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X2))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_1718, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),number_number_of(int,pls))))). 14.91/2.42 cnf(i_0_1131, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),zero_zero(X1)))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_1601, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),one_one(X1)),X2))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_256, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),one_one(X1)))|~linordered_semidom(X1))). 14.91/2.42 cnf(i_0_1465, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),one_one(X1)))|~linordered_semidom(X1))). 14.91/2.42 cnf(i_0_111, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,X3),X2)),X3)=hAPP(X1,X1,div_mod(X1,X2),X3)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_1567, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,X2),X3)),X3)=hAPP(X1,X1,div_mod(X1,X2),X3)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_477, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,div_mod(X1,X2),X3)),X3)=hAPP(X1,X1,div_mod(X1,X2),X3)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_1197, plain, (hAPP(X1,X1,times_times(X1,X2),hAPP(X1,X1,times_times(X1,X3),X4))=hAPP(X1,X1,times_times(X1,X3),hAPP(X1,X1,times_times(X1,X2),X4))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_1006, plain, (hAPP(X1,X1,plus_plus(X1,X2),hAPP(X1,X1,plus_plus(X1,X3),X4))=hAPP(X1,X1,plus_plus(X1,X3),hAPP(X1,X1,plus_plus(X1,X2),X4))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_960, plain, (hAPP(nat,nat,plus_plus(nat,X1),X1)=hAPP(nat,nat,times_times(nat,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))). 14.91/2.42 cnf(i_0_595, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),number_number_of(int,bit1(bit1(pls))))))). 14.91/2.42 cnf(i_0_667, plain, (hAPP(X1,X1,times_times(X1,X2),X2)=hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_1363, plain, (hAPP(X1,X1,times_times(X1,X2),X2)=hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))|~monoid_mult(X1))). 14.91/2.42 cnf(i_0_1113, plain, (hAPP(X1,X1,times_times(X1,X2),number_number_of(X1,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))=hAPP(X1,X1,plus_plus(X1,X2),X2)|~number_ring(X1))). 14.91/2.42 cnf(i_0_1123, plain, (hAPP(X1,X1,times_times(X1,X2),number_number_of(X1,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))=hAPP(X1,X1,plus_plus(X1,X2),X2)|~number_semiring(X1))). 14.91/2.42 cnf(i_0_665, plain, (hAPP(X1,X1,times_times(X1,hAPP(X1,X1,times_times(X1,X2),X2)),X2)=hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,bit1(bit1(pls))))|~monoid_mult(X1))). 14.91/2.42 cnf(i_0_1544, plain, (hAPP(X1,X1,times_times(X1,hAPP(X1,X1,plus_plus(X1,one_one(X1)),one_one(X1))),X2)=hAPP(X1,X1,plus_plus(X1,X2),X2)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_459, plain, (hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|hBOOL(hAPP(nat,bool,X1,esk10_2(X2,X1)))|~hBOOL(hAPP(nat,bool,X1,X2)))). 14.91/2.42 cnf(i_0_660, plain, (hAPP(X1,X1,times_times(X1,number_number_of(X1,X2)),number_number_of(X1,X2))=hAPP(nat,X1,power_power(X1,number_number_of(X1,X2)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))|~number(X1)|~monoid_mult(X1))). 14.91/2.42 cnf(i_0_1071, plain, (hBOOL(hAPP(int,bool,zcong(X2,X1),X3))|ti(int,X1)!=hAPP(int,int,plus_plus(int,X2),hAPP(int,int,times_times(int,X3),X4)))). 14.91/2.42 cnf(i_0_274, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X1),X1)),bit1(X2))=bit1(hAPP(int,int,plus_plus(int,X1),X2)))). 14.91/2.42 cnf(i_0_966, plain, (hAPP(real,real,plus_plus(real,hAPP(real,real,times_times(real,X2),X2)),hAPP(real,real,times_times(real,X1),X1))=zero_zero(real)|X2!=zero_zero(real)|zero_zero(real)!=X1)). 14.91/2.42 cnf(i_0_1070, plain, (hAPP(int,int,plus_plus(int,X1),hAPP(int,int,times_times(int,X3),esk22_3(X1,X2,X3)))=ti(int,X2)|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 14.91/2.42 cnf(i_0_1281, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X2)),hAPP(X1,X1,times_times(X1,X3),X3))=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|ti(X1,X3)!=zero_zero(X1)|~linord581940658strict(X1))). 14.91/2.42 cnf(i_0_1662, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3))|hAPP(nat,nat,plus_plus(nat,X1),X2)!=X3)). 14.91/2.42 cnf(i_0_644, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|hAPP(nat,nat,minus_minus(nat,X1),X2)!=zero_zero(nat))). 14.91/2.42 cnf(i_0_246, plain, (number_number_of(X1,hAPP(int,int,plus_plus(int,X2),X2))=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,plus_plus(X1,one_one(X1)),one_one(X1))),number_number_of(X1,X2))|~number_ring(X1))). 14.91/2.42 cnf(i_0_249, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X3),X2))|X2!=hAPP(X1,X1,times_times(X1,X3),X4)|~dvd(X1))). 14.91/2.42 cnf(i_0_845, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X3),X2))|hAPP(X1,X1,div_mod(X1,X2),X3)!=zero_zero(X1)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_838, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,plus_plus(X1,zero_zero(X1)),number_number_of(X1,X2))),number_number_of(X1,X2))=number_number_of(X1,hAPP(int,int,plus_plus(int,X2),X2))|~number_ring(X1))). 14.91/2.42 cnf(i_0_1540, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,minus_minus(int,min),X1)),hAPP(int,int,minus_minus(int,min),X1))=hAPP(int,int,minus_minus(int,min),bit1(X1)))). 14.91/2.42 cnf(i_0_900, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,plus_plus(nat,X3),X1)),hAPP(nat,nat,plus_plus(nat,X3),X2))=hAPP(nat,nat,minus_minus(nat,X1),X2))). 14.91/2.42 cnf(i_0_484, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,plus_plus(nat,X1),X3)),hAPP(nat,nat,plus_plus(nat,X2),X3))=hAPP(nat,nat,minus_minus(nat,X1),X2))). 14.91/2.42 cnf(i_0_82, plain, (hAPP(int,int,times_times(int,hAPP(int,int,times_times(int,X1),X2)),X3)=hAPP(int,int,times_times(int,X1),hAPP(int,int,times_times(int,X2),X3)))). 14.91/2.42 cnf(i_0_613, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X1),X2)),X3)=hAPP(int,int,plus_plus(int,X1),hAPP(int,int,plus_plus(int,X2),X3)))). 14.91/2.42 cnf(i_0_1468, plain, (hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,plus_plus(nat,X1),X2)),X3)=hAPP(nat,nat,plus_plus(nat,X1),hAPP(nat,nat,plus_plus(nat,X2),X3)))). 14.91/2.42 cnf(i_0_713, plain, (hAPP(real,real,times_times(real,hAPP(real,real,times_times(real,X1),X2)),X3)=hAPP(real,real,times_times(real,X1),hAPP(real,real,times_times(real,X2),X3)))). 14.91/2.42 cnf(i_0_282, plain, (hAPP(nat,int,power_power(int,hAPP(nat,int,power_power(int,X1),X2)),X3)=hAPP(nat,int,power_power(int,X1),hAPP(nat,nat,times_times(nat,X2),X3)))). 14.91/2.42 cnf(i_0_196, plain, (hAPP(nat,nat,times_times(nat,hAPP(nat,nat,times_times(nat,X1),X2)),X3)=hAPP(nat,nat,times_times(nat,X1),hAPP(nat,nat,times_times(nat,X2),X3)))). 14.91/2.42 cnf(i_0_241, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,minus_minus(nat,X1),X2)),X3)=hAPP(nat,nat,minus_minus(nat,X1),hAPP(nat,nat,plus_plus(nat,X2),X3)))). 14.91/2.42 cnf(i_0_1138, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),X1)),X1)!=zero_zero(int))). 14.91/2.42 cnf(i_0_1074, plain, (X1=zero_zero(nat)|hAPP(nat,nat,times_times(nat,X2),hAPP(nat,nat,power_power(nat,X2),hAPP(nat,nat,minus_minus(nat,X1),one_one(nat))))=hAPP(nat,nat,power_power(nat,X2),X1))). 14.91/2.42 cnf(i_0_1707, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,minus_minus(int,X1),X2)),hAPP(int,int,minus_minus(int,X1),X2))=hAPP(int,int,minus_minus(int,bit1(X1)),bit1(X2)))). 14.91/2.42 cnf(i_0_158, plain, (hAPP(nat,X1,power_power(X1,hAPP(nat,X1,power_power(X1,X2),X3)),X4)=hAPP(nat,X1,power_power(X1,X2),hAPP(nat,nat,times_times(nat,X3),X4))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_688, plain, (hAPP(nat,X1,power_power(X1,hAPP(nat,X1,power_power(X1,X2),X3)),X4)=hAPP(nat,X1,power_power(X1,X2),hAPP(nat,nat,times_times(nat,X3),X4))|~monoid_mult(X1))). 14.91/2.42 cnf(i_0_1597, plain, (zero_zero(nat)=X1|hAPP(X2,X2,times_times(X2,X3),hAPP(nat,X2,power_power(X2,X3),hAPP(nat,nat,minus_minus(nat,X1),one_one(nat))))=hAPP(nat,X2,power_power(X2,X3),X1)|~power(X2))). 14.91/2.42 cnf(i_0_262, plain, (hAPP(X1,X1,times_times(X1,hAPP(nat,X1,power_power(X1,X2),X3)),X2)=hAPP(X1,X1,times_times(X1,X2),hAPP(nat,X1,power_power(X1,X2),X3))|~monoid_mult(X1))). 14.91/2.42 cnf(i_0_4, plain, (hAPP(X1,X1,times_times(X1,hAPP(X1,X1,times_times(X1,X2),X3)),X4)=hAPP(X1,X1,times_times(X1,X2),hAPP(X1,X1,times_times(X1,X3),X4))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_496, plain, (hAPP(X1,X1,times_times(X1,hAPP(X1,X1,times_times(X1,X2),X3)),X4)=hAPP(X1,X1,times_times(X1,X2),hAPP(X1,X1,times_times(X1,X3),X4))|~ab_semigroup_mult(X1))). 14.91/2.42 cnf(i_0_1566, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,plus_plus(X1,X2),X3)),X4)=hAPP(X1,X1,plus_plus(X1,X2),hAPP(X1,X1,plus_plus(X1,X3),X4))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_5, plain, (hAPP(X1,X1,times_times(X1,hAPP(X1,X1,times_times(X1,X2),X3)),X4)=hAPP(X1,X1,times_times(X1,X2),hAPP(X1,X1,times_times(X1,X3),X4))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_141, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,plus_plus(X1,X2),X3)),X4)=hAPP(X1,X1,plus_plus(X1,X2),hAPP(X1,X1,plus_plus(X1,X3),X4))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_372, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,plus_plus(X1,X2),X3)),X4)=hAPP(X1,X1,plus_plus(X1,X2),hAPP(X1,X1,plus_plus(X1,X3),X4))|~ab_semigroup_add(X1))). 14.91/2.42 cnf(i_0_1272, plain, (hAPP(X1,X1,plus_plus(X1,X2),hAPP(X1,X1,times_times(X1,X3),X2))=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,plus_plus(X1,X3),one_one(X1))),X2)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_163, plain, (ti(X1,X2)=zero_zero(X1)|hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))!=zero_zero(X1)|~ring_11004092258visors(X1))). 14.91/2.42 cnf(i_0_630, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),number_number_of(int,X2)),number_number_of(int,X1)))|hAPP(int,int,div_mod(int,number_number_of(int,X1)),number_number_of(int,X2))!=zero_zero(int))). 14.91/2.42 cnf(i_0_1111, plain, (hBOOL(hAPP(int,bool,zcong(X1,X4),X3))|~hBOOL(hAPP(int,bool,zcong(X2,X4),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 14.91/2.42 cnf(i_0_570, plain, (hBOOL(hAPP(int,bool,zcong(X1,X5),X3))|ti(int,X2)!=ti(int,X4)|~hBOOL(hAPP(int,bool,zcong(X4,X5),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 14.91/2.42 cnf(i_0_1737, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),number_number_of(X1,X3)),number_number_of(X1,X2)))|hAPP(X1,X1,div_mod(X1,number_number_of(X1,X2)),number_number_of(X1,X3))!=zero_zero(X1)|~semiring_div(X1)|~number(X1))). 14.91/2.42 cnf(i_0_122, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,div_mod(nat,X2),X3)))|zero_zero(nat)!=X3|~hBOOL(hAPP(nat,bool,X1,X2)))). 14.91/2.42 cnf(i_0_620, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1))|~hBOOL(hAPP(int,bool,zprime,X1)))). 14.91/2.42 cnf(i_0_1626, plain, (hAPP(nat,nat,plus_plus(nat,X2),hAPP(nat,nat,minus_minus(nat,X1),X2))=X1|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 14.91/2.42 cnf(i_0_1018, plain, (hBOOL(X1)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,X2),X1)))). 14.91/2.42 cnf(i_0_1429, plain, (hBOOL(X1)|~hBOOL(hAPP(bool,bool,hAPP(bool,fun(bool,bool),fconj,X1),X2)))). 14.91/2.42 cnf(i_0_1600, plain, (combc(X1,X2,X3,X4,ti(X2,X5))=combc(X1,X2,X3,X4,X5))). 14.91/2.42 cnf(i_0_872, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X1))|~hBOOL(hAPP(int,bool,zcong(X1,zero_zero(int)),X2)))). 14.91/2.42 cnf(i_0_1683, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X1))|~hBOOL(hAPP(int,bool,zcong(X1,zero_zero(int)),X2)))). 14.91/2.42 cnf(i_0_914, plain, (hAPP(nat,nat,times_times(nat,number_number_of(nat,X1)),number_number_of(nat,X2))=number_number_of(nat,hAPP(int,int,times_times(int,X1),X2))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 14.91/2.42 cnf(i_0_1512, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),min)))). 14.91/2.42 cnf(i_0_1170, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),pls)))). 14.91/2.42 cnf(i_0_1514, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),min)))). 14.91/2.42 cnf(i_0_948, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),min)))). 14.91/2.42 cnf(i_0_416, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X1)))). 14.91/2.42 cnf(i_0_951, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X1)))). 14.91/2.42 cnf(i_0_173, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),zero_zero(int))))). 14.91/2.42 cnf(i_0_678, plain, (X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 14.91/2.42 cnf(i_0_679, plain, (X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 14.91/2.42 cnf(i_0_731, plain, (X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 14.91/2.42 cnf(i_0_1470, plain, (X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 14.91/2.42 cnf(i_0_1684, plain, (X1!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 14.91/2.42 cnf(i_0_962, plain, (X1!=X2|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),X2),X1)))). 14.91/2.42 cnf(i_0_81, plain, (zero_zero(nat)!=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 14.91/2.42 cnf(i_0_69, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),zero_zero(nat))))). 14.91/2.42 cnf(i_0_1424, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),zero_zero(nat))))). 14.91/2.42 cnf(i_0_1598, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),zero_zero(nat))))). 14.91/2.42 cnf(i_0_816, plain, (number_number_of(nat,X1)=zero_zero(nat)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),pls)))). 14.91/2.42 cnf(i_0_11, plain, (number_number_of(nat,X1)=zero_zero(nat)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),pls)))). 14.91/2.42 cnf(i_0_1206, plain, (X1=one_one(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),one_one(nat))))). 14.91/2.42 cnf(i_0_1491, plain, (X1=one_one(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),one_one(nat))))). 14.91/2.42 cnf(i_0_1709, plain, (zero_zero(nat)=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),zero_zero(nat))))). 14.91/2.42 cnf(i_0_379, plain, (one_one(nat)=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),one_one(nat))))). 14.91/2.42 cnf(i_0_1360, plain, (one_one(nat)=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),one_one(nat))))). 14.91/2.42 cnf(i_0_474, plain, (zfact(X1)=one_one(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int))))). 14.91/2.42 cnf(i_0_94, plain, (zero_zero(nat)=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),zero_zero(nat)),X1)))). 14.91/2.42 cnf(i_0_519, plain, (zero_zero(nat)=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),zero_zero(nat)),X1)))). 14.91/2.42 cnf(i_0_654, plain, (zero_zero(nat)=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),zero_zero(nat)),X1)))). 14.91/2.42 cnf(i_0_1083, plain, (zero_zero(nat)!=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 14.91/2.42 cnf(i_0_1630, plain, (combs(X1,X2,X3,X4,ti(fun(X1,X2),X5))=combs(X1,X2,X3,X4,X5))). 14.91/2.42 cnf(i_0_719, plain, (combb(X1,X2,X3,X4,ti(fun(X3,X1),X5))=combb(X1,X2,X3,X4,X5))). 14.91/2.42 cnf(i_0_577, plain, (combb(X1,X2,X3,ti(fun(X1,X2),X4),X5)=combb(X1,X2,X3,X4,X5))). 14.91/2.42 cnf(i_0_232, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|~hBOOL(hAPP(fun(int,bool),bool,member(int,X1),d22set(X2))))). 14.91/2.42 cnf(i_0_1053, plain, (ti(int,X1)!=ti(int,X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X1)))). 14.91/2.42 cnf(i_0_1727, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1))|~hBOOL(hAPP(fun(int,bool),bool,member(int,X1),d22set(X2))))). 14.91/2.42 cnf(i_0_666, plain, (ti(X1,X2)=zero_zero(X1)|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),zero_zero(X1)),X2)))). 14.91/2.42 cnf(i_0_414, plain, (~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),one_one(X1)),zero_zero(X1))))). 14.91/2.42 cnf(i_0_303, plain, (~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),zero_zero(X1))))). 14.91/2.42 cnf(i_0_54, plain, (combc(X1,X2,X3,ti(fun(X1,fun(X2,X3)),X4),X5)=combc(X1,X2,X3,X4,X5))). 14.91/2.42 cnf(i_0_188, plain, (combs(X1,X2,X3,ti(fun(X1,fun(X2,X3)),X4),X5)=combs(X1,X2,X3,X4,X5))). 14.91/2.42 cnf(i_0_227, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,times_times(nat,X1),X1))))). 14.91/2.42 cnf(i_0_651, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,plus_plus(nat,X2),X1))))). 14.91/2.42 cnf(i_0_969, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,plus_plus(nat,X1),X2))))). 14.91/2.42 cnf(i_0_1670, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,minus_minus(int,pls),X1)),hAPP(int,int,minus_minus(int,pls),X1))=hAPP(int,int,minus_minus(int,pls),hAPP(int,int,plus_plus(int,X1),X1)))). 14.91/2.42 cnf(i_0_88, plain, (X1=zero_zero(real)|hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),hAPP(real,real,times_times(real,X1),X1))))). 14.91/2.42 cnf(i_0_43, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,power_power(nat,X2),X1)))|zero_zero(nat)!=X1)). 14.91/2.42 cnf(i_0_545, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,power_power(nat,X2),X1)))|zero_zero(nat)!=X1)). 14.91/2.42 cnf(i_0_832, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,minus_minus(nat,X1),X2)),X3)=hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,minus_minus(nat,X1),X3)),X2))). 14.91/2.42 cnf(i_0_443, plain, (hAPP(int,int,times_times(int,hAPP(nat,int,power_power(int,X1),X2)),hAPP(nat,int,power_power(int,X1),X3))=hAPP(nat,int,power_power(int,X1),hAPP(nat,nat,plus_plus(nat,X2),X3)))). 14.91/2.42 cnf(i_0_717, plain, (hAPP(nat,nat,div_mod(nat,hAPP(nat,nat,times_times(nat,X1),X2)),hAPP(nat,nat,times_times(nat,X1),X3))=hAPP(nat,nat,times_times(nat,X1),hAPP(nat,nat,div_mod(nat,X2),X3)))). 14.91/2.42 cnf(i_0_1403, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),X2)),hAPP(int,int,times_times(int,X1),X3))=hAPP(int,int,times_times(int,X1),hAPP(int,int,plus_plus(int,X2),X3)))). 14.91/2.42 cnf(i_0_1524, plain, (hAPP(int,int,minus_minus(int,hAPP(int,int,times_times(int,X1),X2)),hAPP(int,int,times_times(int,X1),X3))=hAPP(int,int,times_times(int,X1),hAPP(int,int,minus_minus(int,X2),X3)))). 14.91/2.42 cnf(i_0_512, plain, (hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X2)),hAPP(nat,nat,times_times(nat,X1),X3))=hAPP(nat,nat,times_times(nat,X1),hAPP(nat,nat,plus_plus(nat,X2),X3)))). 14.91/2.42 cnf(i_0_1449, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,times_times(nat,X1),X2)),hAPP(nat,nat,times_times(nat,X1),X3))=hAPP(nat,nat,times_times(nat,X1),hAPP(nat,nat,minus_minus(nat,X2),X3)))). 14.91/2.42 cnf(i_0_117, plain, (zero_zero(nat)=X1|hBOOL(hAPP(nat,bool,X2,hAPP(nat,nat,div_mod(nat,X3),X1)))|~hBOOL(hAPP(nat,bool,X2,esk4_3(X2,X3,X1))))). 14.91/2.42 cnf(i_0_791, plain, (ti(X1,X2)=zero_zero(X1)|ti(X1,X3)=ti(X1,X4)|ti(X1,X5)!=ti(X1,X6)|hAPP(X1,X1,plus_plus(X1,X5),hAPP(X1,X1,times_times(X1,X2),X4))!=hAPP(X1,X1,plus_plus(X1,X6),hAPP(X1,X1,times_times(X1,X2),X3))|~semiri456707255roduct(X1))). 14.91/2.42 cnf(i_0_487, plain, (hBOOL(hAPP(int,bool,zcong(X1,hAPP(int,int,div_mod(int,X1),X2)),X2)))). 14.91/2.42 cnf(i_0_642, plain, (hBOOL(hAPP(int,bool,zcong(X1,hAPP(int,int,div_mod(int,X1),X2)),X2)))). 14.91/2.42 cnf(i_0_1486, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),hAPP(int,int,plus_plus(int,X1),one_one(int))))|ti(int,X1)!=ti(int,X2))). 14.91/2.42 cnf(i_0_1649, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,times_times(X1,X3),X2)))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_1623, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,times_times(X1,X2),X3)))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_1186, plain, (hAPP(X1,X1,times_times(X1,hAPP(nat,X1,power_power(X1,X2),X3)),hAPP(nat,X1,power_power(X1,X2),X4))=hAPP(nat,X1,power_power(X1,X2),hAPP(nat,nat,plus_plus(nat,X3),X4))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_140, plain, (hAPP(X1,X1,times_times(X1,hAPP(nat,X1,power_power(X1,X2),X3)),hAPP(nat,X1,power_power(X1,X2),X4))=hAPP(nat,X1,power_power(X1,X2),hAPP(nat,nat,plus_plus(nat,X3),X4))|~monoid_mult(X1))). 14.91/2.42 cnf(i_0_1701, plain, (hAPP(nat,nat,plus_plus(nat,X2),esk42_3(X3,X1,X2))=X1|hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,minus_minus(nat,X1),X2)))|~hBOOL(hAPP(nat,bool,X3,zero_zero(nat))))). 14.91/2.42 cnf(i_0_1399, plain, (hAPP(nat,nat,plus_plus(nat,X1),esk34_3(X2,X3,X1))=X3|hBOOL(hAPP(nat,bool,X2,hAPP(nat,nat,minus_minus(nat,X3),X1)))|~hBOOL(hAPP(nat,bool,X2,zero_zero(nat))))). 14.91/2.42 cnf(i_0_797, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(nat,X1,power_power(X1,X2),X3)))|ti(X1,X2)!=one_one(X1)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_1115, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),hAPP(X1,X1,plus_plus(X1,X2),one_one(X1))))|~linordered_semidom(X1))). 14.91/2.42 cnf(i_0_1107, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,times_times(X1,X2),X2)))|~linordered_ring(X1))). 14.91/2.42 cnf(i_0_547, plain, (hAPP(nat,nat,div_mod(nat,X1),X2)=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 14.91/2.42 cnf(i_0_920, plain, (hAPP(nat,nat,div_mod(nat,X1),X2)=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 14.91/2.42 cnf(i_0_643, plain, (hAPP(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)))). 14.91/2.42 cnf(i_0_399, plain, (hAPP(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)))). 14.91/2.42 cnf(i_0_849, plain, (hAPP(X1,X1,times_times(X1,hAPP(X1,X1,times_times(X1,X2),X3)),X4)=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,times_times(X1,X2),X4)),X3)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_868, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,plus_plus(X1,X2),X3)),X4)=hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,plus_plus(X1,X2),X4)),X3)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_369, plain, (hAPP(X1,X1,minus_minus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))=hAPP(X1,X1,times_times(X1,X2),hAPP(X1,X1,minus_minus(X1,X3),X4))|~real_normed_algebra(X1))). 14.91/2.42 cnf(i_0_452, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))=hAPP(X1,X1,times_times(X1,X2),hAPP(X1,X1,plus_plus(X1,X3),X4))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_608, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))=hAPP(X1,X1,times_times(X1,X2),hAPP(X1,X1,plus_plus(X1,X3),X4))|~real_normed_algebra(X1))). 14.91/2.42 cnf(i_0_1435, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))=hAPP(X1,X1,times_times(X1,X2),hAPP(X1,X1,plus_plus(X1,X3),X4))|~real_normed_algebra(X1))). 14.91/2.42 cnf(i_0_1610, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))=hAPP(X1,X1,times_times(X1,X2),hAPP(X1,X1,div_mod(X1,X3),X4))|~semiring_div(X1))). 14.91/2.42 cnf(i_0_1367, plain, (hAPP(X1,X1,minus_minus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))=hAPP(X1,X1,times_times(X1,X2),hAPP(X1,X1,minus_minus(X1,X3),X4))|~real_normed_algebra(X1))). 14.91/2.42 cnf(i_0_637, plain, (hBOOL(hAPP(int,bool,zprime,number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))))). 14.91/2.42 cnf(i_0_1499, plain, (hAPP(nat,nat,plus_plus(nat,X1),esk40_2(X1,X2))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 14.91/2.42 cnf(i_0_1661, plain, (hAPP(nat,nat,plus_plus(nat,X1),esk41_2(X1,X2))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 14.91/2.42 cnf(i_0_510, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,power_power(nat,X2),number_number_of(nat,X1))))|number_number_of(nat,X1)!=zero_zero(nat))). 14.91/2.42 cnf(i_0_172, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),X3)=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,plus_plus(X1,X2),one_one(X1))),X3)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_1573, plain, (hAPP(nat,nat,times_times(nat,number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)=hAPP(nat,nat,plus_plus(nat,X1),X1))). 14.91/2.42 cnf(i_0_926, plain, (hAPP(int,int,div_mod(int,X1),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))=zero_zero(int)|hAPP(int,int,div_mod(int,X1),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))=one_one(int))). 14.91/2.42 cnf(i_0_913, plain, (hAPP(nat,nat,times_times(nat,number_number_of(nat,X1)),number_number_of(nat,X2))=zero_zero(nat)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 14.91/2.42 cnf(i_0_1368, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,plus_plus(X1,one_one(X1)),one_one(X1))))|~linordered_semidom(X1))). 14.91/2.42 cnf(i_0_1521, plain, (hAPP(int,int,times_times(int,X1),X2)=one_one(int)|ti(int,X2)!=one_one(int)|ti(int,X1)!=one_one(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))). 14.91/2.42 cnf(i_0_936, plain, (hAPP(X1,X1,div_mod(X1,X3),X2)=zero_zero(X1)|~semiring_div(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 14.91/2.42 cnf(i_0_846, plain, (hAPP(X1,X1,div_mod(X1,X3),X2)=zero_zero(X1)|~semiring_div(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 14.91/2.42 cnf(i_0_523, plain, (hAPP(nat,nat,plus_plus(nat,number_number_of(nat,X1)),number_number_of(nat,X2))=number_number_of(nat,X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 14.91/2.42 cnf(i_0_1209, plain, (hAPP(X1,X1,times_times(X1,number_number_of(X1,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X2)=hAPP(X1,X1,plus_plus(X1,X2),X2)|~number_ring(X1))). 14.91/2.42 cnf(i_0_1568, plain, (hAPP(X1,X1,times_times(X1,number_number_of(X1,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X2)=hAPP(X1,X1,plus_plus(X1,X2),X2)|~number_semiring(X1))). 14.91/2.42 cnf(i_0_1522, plain, (ti(int,X1)=one_one(int)|hAPP(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)))). 14.91/2.42 cnf(i_0_1523, plain, (ti(int,X1)=one_one(int)|hAPP(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)))). 14.91/2.42 cnf(i_0_475, plain, (hAPP(int,int,times_times(int,X1),zfact(hAPP(int,int,minus_minus(int,X1),one_one(int))))=zfact(X1)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int))))). 14.91/2.42 cnf(i_0_457, plain, (hBOOL(hAPP(nat,bool,X2,zero_zero(nat)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk10_2(X1,X2)),X1))|~hBOOL(hAPP(nat,bool,X2,X1)))). 14.91/2.42 cnf(i_0_35, plain, (hBOOL(hAPP(nat,bool,X2,zero_zero(nat)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk1_2(X1,X2)),X1))|~hBOOL(hAPP(nat,bool,X2,X1)))). 14.91/2.42 cnf(i_0_964, plain, (X1=zero_zero(real)|hAPP(real,real,plus_plus(real,hAPP(real,real,times_times(real,X1),X1)),hAPP(real,real,times_times(real,X2),X2))!=zero_zero(real))). 14.91/2.42 cnf(i_0_965, plain, (zero_zero(real)=X1|hAPP(real,real,plus_plus(real,hAPP(real,real,times_times(real,X2),X2)),hAPP(real,real,times_times(real,X1),X1))!=zero_zero(real))). 14.91/2.42 cnf(i_0_124, plain, (hBOOL(hAPP(nat,bool,X2,X3))|zero_zero(nat)!=X1|~hBOOL(hAPP(nat,bool,X2,hAPP(nat,nat,div_mod(nat,X3),X1))))). 14.91/2.42 cnf(i_0_1216, plain, (hBOOL(hAPP(int,bool,X2,X3))|ti(int,X1)!=zero_zero(int)|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(int,X3),X1))))). 14.91/2.42 cnf(i_0_489, plain, (hBOOL(hAPP(int,bool,zprime,esk11_1(X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1)))). 14.91/2.42 cnf(i_0_616, plain, (hBOOL(hAPP(int,bool,zprime,X1))|ti(int,esk13_1(X1))!=one_one(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1)))). 14.91/2.42 cnf(i_0_629, plain, (hAPP(int,int,div_mod(int,number_number_of(int,X2)),number_number_of(int,X1))=zero_zero(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),number_number_of(int,X1)),number_number_of(int,X2))))). 14.91/2.42 cnf(i_0_873, plain, (hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2)))). 14.91/2.42 cnf(i_0_1682, plain, (hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2)))). 14.91/2.42 cnf(i_0_615, plain, (hBOOL(hAPP(int,bool,zprime,X1))|ti(int,esk13_1(X1))!=ti(int,X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1)))). 14.91/2.42 cnf(i_0_1283, plain, (ti(X1,X2)=zero_zero(X1)|hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X2)),hAPP(X1,X1,times_times(X1,X3),X3))!=zero_zero(X1)|~linord581940658strict(X1))). 14.91/2.42 cnf(i_0_1282, plain, (ti(X1,X2)=zero_zero(X1)|hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X3),X3)),hAPP(X1,X1,times_times(X1,X2),X2))!=zero_zero(X1)|~linord581940658strict(X1))). 14.91/2.42 cnf(i_0_36, plain, (hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,plus_plus(nat,esk1_2(X2,X1)),one_one(nat))))|~hBOOL(hAPP(nat,bool,X1,X2)))). 14.91/2.42 cnf(i_0_450, plain, (hAPP(int,int,div_mod(int,number_number_of(int,min)),X1)=hAPP(int,int,minus_minus(int,X1),one_one(int))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))). 14.91/2.42 cnf(i_0_154, plain, (hBOOL(hAPP(int,bool,twoSqu658283162sum2sq,hAPP(int,int,times_times(int,X1),X2)))|~hBOOL(hAPP(int,bool,twoSqu658283162sum2sq,X2))|~hBOOL(hAPP(int,bool,twoSqu658283162sum2sq,X1)))). 14.91/2.42 cnf(i_0_1609, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,number_number_of(X1,X2)),X3)),hAPP(X1,X1,times_times(X1,number_number_of(X1,X2)),X4))=hAPP(X1,X1,times_times(X1,number_number_of(X1,X2)),hAPP(X1,X1,plus_plus(X1,X3),X4))|~semiring(X1)|~number(X1))). 14.91/2.42 cnf(i_0_903, plain, (hAPP(X1,X1,minus_minus(X1,hAPP(X1,X1,times_times(X1,number_number_of(X1,X2)),X3)),hAPP(X1,X1,times_times(X1,number_number_of(X1,X2)),X4))=hAPP(X1,X1,times_times(X1,number_number_of(X1,X2)),hAPP(X1,X1,minus_minus(X1,X3),X4))|~number(X1)|~ring(X1))). 14.91/2.42 cnf(i_0_437, plain, (hBOOL(hAPP(fun(int,bool),bool,member(int,X1),wset(X1,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1)))). 14.91/2.42 cnf(i_0_1087, plain, (hBOOL(hAPP(int,bool,zcong(X1,esk23_2(X1,X2)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))). 14.91/2.42 cnf(i_0_1736, plain, (hAPP(X1,X1,div_mod(X1,number_number_of(X1,X3)),number_number_of(X1,X2))=zero_zero(X1)|~semiring_div(X1)|~number(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),number_number_of(X1,X2)),number_number_of(X1,X3))))). 14.91/2.42 cnf(i_0_1069, 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)))). 14.91/2.42 cnf(i_0_892, 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)))). 14.91/2.42 cnf(i_0_1012, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X2),X1))|hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X2)))). 14.91/2.42 cnf(i_0_680, 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)))). 14.91/2.42 cnf(i_0_974, 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)))). 14.91/2.42 cnf(i_0_928, plain, (X1=hAPP(nat,nat,plus_plus(nat,X3),X2)|hAPP(nat,nat,minus_minus(nat,X1),X2)!=X3|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))). 14.91/2.42 cnf(i_0_929, plain, (hAPP(nat,nat,minus_minus(nat,X1),X3)=X2|X1!=hAPP(nat,nat,plus_plus(nat,X2),X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X1)))). 14.91/2.42 cnf(i_0_664, plain, (ti(int,X1)=ti(int,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)))). 14.91/2.42 cnf(i_0_341, plain, (hAPP(nat,nat,div_mod(nat,hAPP(nat,nat,minus_minus(nat,X1),X2)),X2)=hAPP(nat,nat,div_mod(nat,X1),X2)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 14.91/2.42 cnf(i_0_919, plain, (hAPP(nat,nat,div_mod(nat,hAPP(nat,nat,minus_minus(nat,X1),X2)),X2)=hAPP(nat,nat,div_mod(nat,X1),X2)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 14.91/2.42 cnf(i_0_740, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),X3)),hAPP(int,int,times_times(int,X2),X3))=hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,X1),X2)),X3))). 14.91/2.42 cnf(i_0_138, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),X2)),hAPP(int,int,times_times(int,X1),X2))=hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,X1),X1)),X2))). 14.91/2.42 cnf(i_0_486, plain, (hAPP(int,int,minus_minus(int,hAPP(int,int,times_times(int,X1),X3)),hAPP(int,int,times_times(int,X2),X3))=hAPP(int,int,times_times(int,hAPP(int,int,minus_minus(int,X1),X2)),X3))). 14.91/2.42 cnf(i_0_312, plain, (hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X3)),hAPP(nat,nat,times_times(nat,X2),X3))=hAPP(nat,nat,times_times(nat,hAPP(nat,nat,plus_plus(nat,X1),X2)),X3))). 14.91/2.42 cnf(i_0_1542, plain, (hAPP(nat,nat,div_mod(nat,hAPP(nat,nat,times_times(nat,X1),X3)),hAPP(nat,nat,times_times(nat,X2),X3))=hAPP(nat,nat,times_times(nat,hAPP(nat,nat,div_mod(nat,X1),X2)),X3))). 14.91/2.42 cnf(i_0_610, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,times_times(nat,X1),X3)),hAPP(nat,nat,times_times(nat,X2),X3))=hAPP(nat,nat,times_times(nat,hAPP(nat,nat,minus_minus(nat,X1),X2)),X3))). 14.91/2.42 cnf(i_0_937, plain, (hAPP(real,real,plus_plus(real,hAPP(real,real,times_times(real,X1),X2)),hAPP(real,real,times_times(real,X3),X2))=hAPP(real,real,times_times(real,hAPP(real,real,plus_plus(real,X1),X3)),X2))). 14.91/2.42 cnf(i_0_1459, plain, (hBOOL(hAPP(X1,bool,X2,esk38_3(X1,X2,X3)))|~semiring_0(X1)|~dvd(X1)|~hBOOL(hAPP(X1,bool,X2,hAPP(X1,X1,times_times(X1,X3),X4))))). 14.91/2.42 cnf(i_0_1099, plain, (zero_zero(nat)=X1|hAPP(nat,nat,plus_plus(nat,X2),hAPP(nat,nat,times_times(nat,hAPP(nat,nat,minus_minus(nat,X1),one_one(nat))),X2))=hAPP(nat,nat,times_times(nat,X1),X2))). 14.91/2.42 cnf(i_0_1373, plain, (ti(X1,X2)=ti(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))). 14.91/2.42 cnf(i_0_635, plain, (hAPP(nat,nat,minus_minus(nat,X2),hAPP(nat,nat,minus_minus(nat,X2),X1))=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 14.91/2.42 cnf(i_0_599, plain, (hAPP(nat,nat,plus_plus(nat,X1),hAPP(nat,nat,minus_minus(nat,X2),X1))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 14.91/2.42 cnf(i_0_269, plain, (hAPP(X1,X1,times_times(X1,hAPP(nat,X1,power_power(X1,X2),X3)),hAPP(nat,X1,power_power(X1,X4),X3))=hAPP(nat,X1,power_power(X1,hAPP(X1,X1,times_times(X1,X2),X4)),X3)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_1192, plain, (hAPP(X1,X1,times_times(X1,hAPP(nat,X1,power_power(X1,X2),X3)),hAPP(nat,X1,power_power(X1,X4),X3))=hAPP(nat,X1,power_power(X1,hAPP(X1,X1,times_times(X1,X2),X4)),X3)|~comm_monoid_mult(X1))). 14.91/2.42 cnf(i_0_445, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(X1,X1,times_times(X1,X3),X4))=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,plus_plus(X1,X2),X3)),X4)|~comm_semiring(X1))). 14.91/2.42 cnf(i_0_1713, plain, (hAPP(X1,X1,minus_minus(X1,hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(X1,X1,times_times(X1,X3),X4))=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,minus_minus(X1,X2),X3)),X4)|~real_normed_algebra(X1))). 14.91/2.42 cnf(i_0_1730, plain, (hAPP(X1,X1,minus_minus(X1,hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(X1,X1,times_times(X1,X3),X4))=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,minus_minus(X1,X2),X3)),X4)|~real_normed_algebra(X1))). 14.91/2.42 cnf(i_0_29, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X4),X3))=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,plus_plus(X1,X2),X4)),X3)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_782, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X4),X3))=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,plus_plus(X1,X2),X4)),X3)|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_242, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X4),X3))=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,plus_plus(X1,X2),X4)),X3)|~real_normed_algebra(X1))). 14.91/2.42 cnf(i_0_1654, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X4),X3))=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,plus_plus(X1,X2),X4)),X3)|~real_normed_algebra(X1))). 14.91/2.42 cnf(i_0_726, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X4),X3))=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,div_mod(X1,X2),X4)),X3)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_98, plain, (X2=X3|hAPP(nat,nat,times_times(nat,X1),X2)!=hAPP(nat,nat,times_times(nat,X1),X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 14.91/2.42 cnf(i_0_1333, plain, (X2=X3|hAPP(nat,nat,times_times(nat,X1),X2)!=hAPP(nat,nat,times_times(nat,X1),X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 14.91/2.42 cnf(i_0_915, plain, (hAPP(X1,X1,times_times(X1,hAPP(X1,X1,plus_plus(X1,X2),one_one(X1))),hAPP(X1,X1,minus_minus(X1,X2),one_one(X1)))=hAPP(X1,X1,minus_minus(X1,hAPP(X1,X1,times_times(X1,X2),X2)),one_one(X1))|~ring_1(X1))). 14.91/2.42 cnf(i_0_1704, plain, (hBOOL(hAPP(nat,bool,X4,X3))|X1!=hAPP(nat,nat,plus_plus(nat,X2),X3)|~hBOOL(hAPP(nat,bool,X4,hAPP(nat,nat,minus_minus(nat,X1),X2))))). 14.91/2.42 cnf(i_0_1397, plain, (hBOOL(hAPP(nat,bool,X1,X2))|hAPP(nat,nat,plus_plus(nat,X3),X2)!=X4|~hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,minus_minus(nat,X4),X3))))). 14.91/2.42 cnf(i_0_112, plain, (hAPP(int,int,times_times(int,X1),hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))=hAPP(nat,int,power_power(int,X1),number_number_of(nat,bit1(bit1(pls)))))). 14.91/2.42 cnf(i_0_793, plain, (~hBOOL(hAPP(fun(int,bool),bool,member(int,X2),d22set(X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 14.91/2.42 cnf(i_0_244, plain, (hAPP(nat,nat,times_times(nat,number_number_of(nat,X1)),hAPP(nat,nat,times_times(nat,number_number_of(nat,X2)),X3))=zero_zero(nat)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 14.91/2.42 cnf(i_0_1724, plain, (hAPP(X1,X2,X3,hAPP(X4,X1,X5,X6))=hAPP(X4,X2,combb(X1,X2,X4,X3,X5),X6))). 14.91/2.42 cnf(i_0_1286, plain, (X3=X4|hAPP(nat,X1,power_power(X1,X2),X3)!=hAPP(nat,X1,power_power(X1,X2),X4)|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X2)))). 14.91/2.42 cnf(i_0_119, plain, (zero_zero(nat)=X1|hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),esk3_3(X3,X2,X1))),esk4_3(X3,X2,X1))=X2|hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,div_mod(nat,X2),X1))))). 14.91/2.42 cnf(i_0_116, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,div_mod(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,X1,X2))|~hBOOL(hAPP(nat,bool,X1,esk4_3(X1,X2,X3))))). 14.91/2.42 cnf(i_0_441, plain, (hAPP(X1,X1,times_times(X1,number_number_of(X1,X2)),hAPP(X1,X1,times_times(X1,number_number_of(X1,X3)),X4))=hAPP(X1,X1,times_times(X1,number_number_of(X1,hAPP(int,int,times_times(int,X2),X3))),X4)|~number_ring(X1))). 14.91/2.42 cnf(i_0_428, plain, (hAPP(X1,X1,plus_plus(X1,number_number_of(X1,X2)),hAPP(X1,X1,minus_minus(X1,number_number_of(X1,X3)),X4))=hAPP(X1,X1,minus_minus(X1,number_number_of(X1,hAPP(int,int,plus_plus(int,X2),X3))),X4)|~number_ring(X1))). 14.91/2.42 cnf(i_0_1340, plain, (hAPP(X1,X1,plus_plus(X1,number_number_of(X1,X2)),hAPP(X1,X1,plus_plus(X1,number_number_of(X1,X3)),X4))=hAPP(X1,X1,plus_plus(X1,number_number_of(X1,hAPP(int,int,plus_plus(int,X2),X3))),X4)|~number_ring(X1))). 14.91/2.42 cnf(i_0_1467, plain, (hAPP(X1,X2,combc(X1,X3,X2,X4,X5),X6)=hAPP(X3,X2,hAPP(X1,fun(X3,X2),X4,X6),X5))). 14.91/2.42 cnf(i_0_1400, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,minus_minus(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X1,esk34_3(X1,X2,X3))))). 14.91/2.42 cnf(i_0_1700, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,minus_minus(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X1,esk42_3(X1,X2,X3))))). 14.91/2.42 cnf(i_0_58, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),number_number_of(X1,X3))),hAPP(X1,X1,times_times(X1,X4),number_number_of(X1,X3)))=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,plus_plus(X1,X2),X4)),number_number_of(X1,X3))|~semiring(X1)|~number(X1))). 14.91/2.42 cnf(i_0_354, plain, (hAPP(X1,X1,minus_minus(X1,hAPP(X1,X1,times_times(X1,X2),number_number_of(X1,X3))),hAPP(X1,X1,times_times(X1,X4),number_number_of(X1,X3)))=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,minus_minus(X1,X2),X4)),number_number_of(X1,X3))|~number(X1)|~ring(X1))). 14.91/2.42 cnf(i_0_752, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),hAPP(int,int,minus_minus(int,X1),X3)))|hAPP(int,int,div_mod(int,X1),X2)!=hAPP(int,int,div_mod(int,X3),X2))). 14.91/2.42 cnf(i_0_702, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X3),hAPP(int,int,minus_minus(int,X1),X2)))|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 14.91/2.42 cnf(i_0_1703, plain, (hAPP(nat,nat,plus_plus(nat,X2),esk42_3(X3,X1,X2))=X1|hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,minus_minus(nat,X1),X2)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 14.91/2.42 cnf(i_0_1401, plain, (hAPP(nat,nat,plus_plus(nat,X1),esk34_3(X2,X3,X1))=X3|hBOOL(hAPP(nat,bool,X2,hAPP(nat,nat,minus_minus(nat,X3),X1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X1)))). 14.91/2.42 cnf(i_0_1068, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),number_number_of(X1,X3)),number_number_of(X1,X2)))|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),number_number_of(X1,X2)),number_number_of(X1,X3)))|~number(X1)|~linorder(X1))). 14.91/2.42 cnf(i_0_121, plain, (zero_zero(nat)=X1|hBOOL(hAPP(nat,bool,X2,hAPP(nat,nat,div_mod(nat,X3),X1)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk4_3(X2,X3,X1)),X1)))). 14.91/2.42 cnf(i_0_981, plain, (ti(fun(X1,X3),combc(X1,X2,X3,X4,X5))=combc(X1,X2,X3,X4,X5))). 14.91/2.42 cnf(i_0_819, plain, (ti(fun(X1,X2),combs(X1,X3,X2,X4,X5))=combs(X1,X3,X2,X4,X5))). 14.91/2.42 cnf(i_0_1166, plain, (ti(fun(X1,X2),combb(X3,X2,X1,X4,X5))=combb(X3,X2,X1,X4,X5))). 14.91/2.42 cnf(i_0_833, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,div_mod(nat,X1),X2)),X1)))). 14.91/2.42 cnf(i_0_292, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,minus_minus(nat,X1),X2)),X1)))). 14.91/2.42 cnf(i_0_20, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X1),X1)),hAPP(int,int,plus_plus(int,X2),X2))=hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X1),X2)),hAPP(int,int,plus_plus(int,X1),X2)))). 14.91/2.42 cnf(i_0_1651, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,minus_minus(int,X1),X2)),hAPP(int,int,minus_minus(int,X1),X2))=hAPP(int,int,minus_minus(int,hAPP(int,int,plus_plus(int,X1),X1)),hAPP(int,int,plus_plus(int,X2),X2)))). 14.91/2.42 cnf(i_0_1242, plain, (ti(int,X3)=zero_zero(int)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|~hBOOL(hAPP(int,bool,X1,esk27_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X1,esk29_3(X1,X2,X3))))). 14.91/2.42 cnf(i_0_1717, plain, (hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,minus_minus(nat,X2),X1)),X1)=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 14.91/2.42 cnf(i_0_716, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,X2),hAPP(X1,X1,times_times(X1,X3),X4))),X3)=hAPP(X1,X1,div_mod(X1,X2),X3)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_1391, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,X2),hAPP(X1,X1,times_times(X1,X3),X4))),X4)=hAPP(X1,X1,div_mod(X1,X2),X4)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_594, plain, (hAPP(X1,X1,times_times(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X4),X5))=hAPP(X1,X1,times_times(X1,X2),hAPP(X1,X1,times_times(X1,X3),hAPP(X1,X1,times_times(X1,X4),X5)))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_270, plain, (hAPP(X1,X1,times_times(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X4),X5))=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(X1,X1,times_times(X1,X3),X5))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_1427, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,plus_plus(X1,X2),X3)),hAPP(X1,X1,plus_plus(X1,X4),X5))=hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,plus_plus(X1,X2),X4)),hAPP(X1,X1,plus_plus(X1,X3),X5))|~comm_semiring_1(X1))). 14.91/2.42 cnf(i_0_1539, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,minus_minus(X1,X2),X4)),hAPP(X1,X1,minus_minus(X1,X3),X5))=hAPP(X1,X1,minus_minus(X1,hAPP(X1,X1,plus_plus(X1,X2),X3)),hAPP(X1,X1,plus_plus(X1,X4),X5))|~ab_group_add(X1))). 14.91/2.42 cnf(i_0_210, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))))). 14.91/2.42 cnf(i_0_847, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))))). 14.91/2.42 cnf(i_0_1482, plain, (hBOOL(hAPP(int,bool,zcong(X3,X2),X1))|hAPP(int,int,div_mod(int,X2),X1)!=hAPP(int,int,div_mod(int,X3),X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))). 14.91/2.42 cnf(i_0_1184, plain, (hBOOL(hAPP(int,bool,zcong(X1,X3),X2))|hAPP(int,int,div_mod(int,X1),X2)!=hAPP(int,int,div_mod(int,X3),X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))). 14.91/2.42 cnf(i_0_1183, plain, (hAPP(int,int,div_mod(int,X1),X3)=hAPP(int,int,div_mod(int,X2),X3)|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3)))). 14.91/2.42 cnf(i_0_1483, plain, (hAPP(int,int,div_mod(int,X1),X3)=hAPP(int,int,div_mod(int,X2),X3)|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X3)))). 14.91/2.42 cnf(i_0_231, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X4),X2)),hAPP(X1,X1,times_times(X1,X5),X3))=hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X4),X3)),hAPP(X1,X1,times_times(X1,X5),X2))|ti(X1,X2)!=ti(X1,X3)|~semiri456707255roduct(X1))). 14.91/2.42 cnf(i_0_1663, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X4),X2)),hAPP(X1,X1,times_times(X1,X5),X3))=hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X4),X3)),hAPP(X1,X1,times_times(X1,X5),X2))|ti(X1,X2)!=ti(X1,X3)|~semiri456707255roduct(X1))). 14.91/2.42 cnf(i_0_230, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X3),X4)),hAPP(X1,X1,times_times(X1,X2),X5))=hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X3),X5)),hAPP(X1,X1,times_times(X1,X2),X4))|ti(X1,X2)!=ti(X1,X3)|~semiri456707255roduct(X1))). 14.91/2.42 cnf(i_0_1664, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X3),X4)),hAPP(X1,X1,times_times(X1,X2),X5))=hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X3),X5)),hAPP(X1,X1,times_times(X1,X2),X4))|ti(X1,X2)!=ti(X1,X3)|~semiri456707255roduct(X1))). 14.91/2.42 cnf(i_0_194, plain, (hAPP(X1,X2,combs(X1,X3,X2,X4,X5),X6)=hAPP(X3,X2,hAPP(X1,fun(X3,X2),X4,X6),hAPP(X1,X3,X5,X6)))). 14.91/2.42 cnf(i_0_524, plain, (hAPP(nat,nat,plus_plus(nat,number_number_of(nat,X2)),number_number_of(nat,X1))=number_number_of(nat,hAPP(int,int,plus_plus(int,X2),X1))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),pls))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 14.91/2.42 cnf(i_0_684, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),bit1(X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 14.91/2.42 cnf(i_0_1563, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),min),bit1(X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),min),X1)))). 14.91/2.42 cnf(i_0_579, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),bit1(X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 14.91/2.42 cnf(i_0_128, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),bit1(X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),X1)))). 14.91/2.42 cnf(i_0_1052, 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)))). 14.91/2.42 cnf(i_0_281, 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)))). 14.91/2.42 cnf(i_0_732, 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)))). 14.91/2.42 cnf(i_0_1320, 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)))). 14.91/2.42 cnf(i_0_1356, 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)))). 14.91/2.42 cnf(i_0_605, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),X1),X2)))). 14.91/2.42 cnf(i_0_961, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),X1),X2)))). 14.91/2.42 cnf(i_0_733, 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)))). 14.91/2.42 cnf(i_0_1322, 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)))). 14.91/2.42 cnf(i_0_1511, 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)))). 14.91/2.42 cnf(i_0_963, plain, (X1=X2|hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),X2),X1))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X2),X1)))). 14.91/2.42 cnf(i_0_606, plain, (X1=X2|hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),X1),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X2)))). 14.91/2.42 cnf(i_0_685, 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),bit1(X1))))). 14.91/2.42 cnf(i_0_580, 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),bit1(X1))))). 14.91/2.42 cnf(i_0_1564, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),min),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),min),bit1(X1))))). 14.91/2.42 cnf(i_0_127, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),bit1(X1))))). 14.91/2.42 cnf(i_0_1657, plain, (X2=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 14.91/2.42 cnf(i_0_1007, plain, (zero_zero(nat)=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),dvd_dvd(nat),X1),X2)))). 14.91/2.42 cnf(i_0_275, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit1(X1)),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 14.91/2.42 cnf(i_0_1555, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit1(X1)),min))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),min)))). 14.91/2.42 cnf(i_0_520, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(X1)),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 14.91/2.42 cnf(i_0_553, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(X1)),min))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),min)))). 14.91/2.42 cnf(i_0_375, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),one_one(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),one_one(nat))))). 14.91/2.42 cnf(i_0_1054, plain, (ti(int,X1)=ti(int,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_eq(int),X2),X1)))). 14.91/2.42 cnf(i_0_1510, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),zero_zero(nat)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),zero_zero(nat)),X1)))). 14.91/2.42 cnf(i_0_1556, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),min))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit1(X1)),min)))). 14.91/2.42 cnf(i_0_276, 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),bit1(X1)),pls)))). 14.91/2.42 cnf(i_0_521, 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),bit1(X1)),pls)))). 14.91/2.42 cnf(i_0_554, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),min))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(X1)),min)))). 14.91/2.42 cnf(i_0_1118, 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)))). 14.91/2.42 cnf(i_0_1117, 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)))). 14.91/2.42 cnf(i_0_1016, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit1(X1)),bit1(X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 14.91/2.42 cnf(i_0_1410, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit1(X1)),bit1(X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 14.91/2.42 cnf(i_0_1500, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(X1)),bit1(X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 14.91/2.42 cnf(i_0_1528, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(X1)),bit1(X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 14.91/2.42 cnf(i_0_1023, plain, (hAPP(nat,nat,div_mod(nat,hAPP(nat,nat,minus_minus(nat,X2),X1)),X1)=hAPP(nat,nat,div_mod(nat,X2),X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 14.91/2.42 cnf(i_0_131, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(X1)),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int))))). 14.91/2.42 cnf(i_0_490, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),esk11_1(X1)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1)))). 14.91/2.42 cnf(i_0_1106, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),number_number_of(nat,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X1)))). 14.91/2.42 cnf(i_0_130, 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),bit1(X1)),zero_zero(int))))). 14.91/2.42 cnf(i_0_1017, 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),bit1(X1)),bit1(X2))))). 14.91/2.42 cnf(i_0_1411, 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),bit1(X1)),bit1(X2))))). 14.91/2.42 cnf(i_0_1501, 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),bit1(X1)),bit1(X2))))). 14.91/2.42 cnf(i_0_1527, 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),bit1(X1)),bit1(X2))))). 14.91/2.42 cnf(i_0_1498, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),esk40_2(X1,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 14.91/2.42 cnf(i_0_1089, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk23_2(X1,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))). 14.91/2.42 cnf(i_0_1105, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),number_number_of(nat,X1))))). 14.91/2.42 cnf(i_0_106, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),zero_zero(X2)),number_number_of(X2,X1)))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 14.91/2.42 cnf(i_0_724, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),zero_zero(X2)),number_number_of(X2,X1)))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X1)))). 14.91/2.42 cnf(i_0_1191, plain, (ti(X1,X2)=ti(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)))). 14.91/2.42 cnf(i_0_1088, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk23_2(X1,X2)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))). 14.91/2.42 cnf(i_0_135, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),number_number_of(nat,X1)),number_number_of(nat,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),pls)))). 14.91/2.42 cnf(i_0_272, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,div_mod(X1,X4),X3)),X2)=hAPP(X1,X1,div_mod(X1,X4),X2)|~semiring_div(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 14.91/2.42 cnf(i_0_87, plain, (X1!=zero_zero(real)|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),hAPP(real,real,times_times(real,X1),X1))))). 14.91/2.42 cnf(i_0_1425, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),number_number_of(int,X1)),number_number_of(int,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 14.91/2.42 cnf(i_0_1128, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,X1)),number_number_of(int,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 14.91/2.42 cnf(i_0_136, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),number_number_of(nat,X1)),number_number_of(nat,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 14.91/2.42 cnf(i_0_1094, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),one_one(X2)),number_number_of(X2,X1)))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit1(pls)),X1)))). 14.91/2.42 cnf(i_0_662, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),one_one(X2)),number_number_of(X2,X1)))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(pls)),X1)))). 14.91/2.42 cnf(i_0_1389, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),number_number_of(X2,X1)),zero_zero(X2)))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),pls)))). 14.91/2.42 cnf(i_0_1387, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),number_number_of(X2,X1)),zero_zero(X2)))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 14.91/2.42 cnf(i_0_897, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),number_number_of(int,bit1(X1))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),number_number_of(int,X1))))). 14.91/2.42 cnf(i_0_1547, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),number_number_of(X2,X1)),one_one(X2)))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),bit1(pls))))). 14.91/2.42 cnf(i_0_776, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),number_number_of(X2,X1)),one_one(X2)))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),bit1(pls))))). 14.91/2.42 cnf(i_0_118, plain, (hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X3),esk3_3(X1,X2,X3))),esk4_3(X1,X2,X3))=X2|hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,div_mod(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,X1,X2)))). 14.91/2.42 cnf(i_0_105, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),number_number_of(X1,X2))))). 14.91/2.42 cnf(i_0_723, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X2))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),number_number_of(X1,X2))))). 14.91/2.42 cnf(i_0_1095, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit1(pls)),X2))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),one_one(X1)),number_number_of(X1,X2))))). 14.91/2.42 cnf(i_0_663, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(pls)),X2))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),number_number_of(X1,X2))))). 14.91/2.42 cnf(i_0_698, plain, (hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less_eq(X3),number_number_of(X3,X1)),number_number_of(X3,X2)))|~number_ring(X3)|~linordered_idom(X3)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 14.91/2.42 cnf(i_0_426, plain, (hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),number_number_of(X3,X1)),number_number_of(X3,X2)))|~number_ring(X3)|~linordered_idom(X3)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 14.91/2.42 cnf(i_0_1402, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,minus_minus(nat,X2),X3)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(nat,bool,X1,esk34_3(X1,X2,X3))))). 14.91/2.42 cnf(i_0_1702, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,minus_minus(nat,X2),X3)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(nat,bool,X1,esk42_3(X1,X2,X3))))). 14.91/2.42 cnf(i_0_1426, 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),number_number_of(int,X1)),number_number_of(int,X2))))). 14.91/2.42 cnf(i_0_1129, 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),number_number_of(int,X1)),number_number_of(int,X2))))). 14.91/2.42 cnf(i_0_472, plain, (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),number_number_of(nat,X1)),number_number_of(nat,X2))))). 14.91/2.42 cnf(i_0_1262, plain, (ti(int,X3)=zero_zero(int)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),zero_zero(int)))|~hBOOL(hAPP(int,bool,X1,esk29_3(X1,X2,X3))))). 14.91/2.42 cnf(i_0_1246, plain, (ti(int,X1)=zero_zero(int)|hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(int,X3),X1)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,X2,esk27_3(X2,X3,X1))))). 14.91/2.42 cnf(i_0_1390, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),pls))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),number_number_of(X1,X2)),zero_zero(X1))))). 14.91/2.42 cnf(i_0_1388, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),pls))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),number_number_of(X1,X2)),zero_zero(X1))))). 14.91/2.42 cnf(i_0_1548, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),bit1(pls)))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),number_number_of(X1,X2)),one_one(X1))))). 14.91/2.42 cnf(i_0_777, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),bit1(pls)))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),number_number_of(X1,X2)),one_one(X1))))). 14.91/2.42 cnf(i_0_120, plain, (hBOOL(hAPP(nat,bool,X1,hAPP(nat,nat,div_mod(nat,X2),X3)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk4_3(X1,X2,X3)),X3))|~hBOOL(hAPP(nat,bool,X1,X2)))). 14.91/2.42 cnf(i_0_699, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),number_number_of(X1,X2)),number_number_of(X1,X3))))). 14.91/2.42 cnf(i_0_427, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),number_number_of(X1,X2)),number_number_of(X1,X3))))). 14.91/2.42 cnf(i_0_525, plain, (hAPP(nat,nat,plus_plus(nat,number_number_of(nat,X2)),number_number_of(nat,X1))=number_number_of(nat,X2)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 14.91/2.42 cnf(i_0_927, plain, (hAPP(int,int,div_mod(int,X1),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))!=zero_zero(int)|hAPP(int,int,div_mod(int,X1),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))!=one_one(int))). 14.91/2.42 cnf(i_0_84, plain, (hBOOL(hAPP(int,bool,X1,X3))|hBOOL(hAPP(int,bool,X1,esk2_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)))). 14.91/2.42 cnf(i_0_1103, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,X1,esk24_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)))). 14.91/2.42 cnf(i_0_848, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,times_times(X1,X2),X5)),X3)=hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,times_times(X1,X4),X6)),X3)|hAPP(X1,X1,div_mod(X1,X5),X3)!=hAPP(X1,X1,div_mod(X1,X6),X3)|hAPP(X1,X1,div_mod(X1,X2),X3)!=hAPP(X1,X1,div_mod(X1,X4),X3)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_754, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,X2),X5)),X3)=hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,X4),X6)),X3)|hAPP(X1,X1,div_mod(X1,X5),X3)!=hAPP(X1,X1,div_mod(X1,X6),X3)|hAPP(X1,X1,div_mod(X1,X2),X3)!=hAPP(X1,X1,div_mod(X1,X4),X3)|~semiring_div(X1))). 14.91/2.42 cnf(i_0_677, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,minus_minus(X1,X2),X6)),X3)=hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,minus_minus(X1,X4),X5)),X3)|hAPP(X1,X1,div_mod(X1,X5),X3)!=hAPP(X1,X1,div_mod(X1,X6),X3)|hAPP(X1,X1,div_mod(X1,X2),X3)!=hAPP(X1,X1,div_mod(X1,X4),X3)|~ring_div(X1))). 14.91/2.42 cnf(i_0_1257, plain, (ti(int,X3)=zero_zero(int)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),esk27_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X1,esk29_3(X1,X2,X3))))). 14.91/2.42 cnf(i_0_1245, plain, (ti(int,X3)=zero_zero(int)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk29_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X1,esk27_3(X1,X2,X3))))). 14.91/2.42 cnf(i_0_1217, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|~hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,X1,esk27_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X1,esk29_3(X1,X2,X3))))). 14.91/2.42 cnf(i_0_618, plain, (hBOOL(hAPP(int,bool,zprime,X1))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),esk13_1(X1)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1)))). 14.91/2.42 cnf(i_0_617, plain, (hBOOL(hAPP(int,bool,zprime,X1))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk13_1(X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1)))). 14.91/2.42 cnf(i_0_1247, plain, (ti(int,X3)=zero_zero(int)|hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X3),esk26_3(X1,X2,X3))),esk27_3(X1,X2,X3))=ti(int,X2)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|~hBOOL(hAPP(int,bool,X1,esk29_3(X1,X2,X3))))). 15.01/2.42 cnf(i_0_1243, plain, (ti(int,X1)=zero_zero(int)|hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),esk28_3(X2,X3,X1))),esk29_3(X2,X3,X1))=ti(int,X3)|hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(int,X3),X1)))|~hBOOL(hAPP(int,bool,X2,esk27_3(X2,X3,X1))))). 15.01/2.42 cnf(i_0_37, 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),esk1_2(X2,X3))))). 15.01/2.42 cnf(i_0_458, 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),esk10_2(X2,X3))))). 15.01/2.42 cnf(i_0_50, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,plus_plus(nat,X3),X2)),X1)=hAPP(nat,nat,plus_plus(nat,X3),hAPP(nat,nat,minus_minus(nat,X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1685, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,plus_plus(nat,X3),X2)),X1)=hAPP(nat,nat,plus_plus(nat,X3),hAPP(nat,nat,minus_minus(nat,X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.42 cnf(i_0_343, plain, (hAPP(nat,nat,minus_minus(nat,X3),hAPP(nat,nat,minus_minus(nat,X2),X1))=hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,plus_plus(nat,X3),X1)),X2)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.42 cnf(i_0_751, plain, (hAPP(int,int,div_mod(int,X2),X1)=hAPP(int,int,div_mod(int,X3),X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(int,int,minus_minus(int,X2),X3))))). 15.01/2.42 cnf(i_0_1244, plain, (ti(int,X3)=zero_zero(int)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk29_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,X1,esk27_3(X1,X2,X3))))). 15.01/2.42 cnf(i_0_703, plain, (hBOOL(hAPP(int,bool,zcong(X2,X3),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(int,int,minus_minus(int,X2),X3))))). 15.01/2.42 cnf(i_0_1252, plain, (ti(int,X3)=zero_zero(int)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk27_3(X1,X2,X3)),zero_zero(int)))|~hBOOL(hAPP(int,bool,X1,esk29_3(X1,X2,X3))))). 15.01/2.42 cnf(i_0_827, 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)))). 15.01/2.42 cnf(i_0_1266, plain, (ti(int,X1)=zero_zero(int)|hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(int,X3),X1)))|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),zero_zero(int)),X1)))). 15.01/2.42 cnf(i_0_533, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,times_times(nat,X1),hAPP(nat,nat,times_times(nat,X1),X1)))))). 15.01/2.42 cnf(i_0_1594, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,times_times(nat,X2),X1)),hAPP(nat,nat,times_times(nat,X3),X1)))|zero_zero(nat)!=X1)). 15.01/2.42 cnf(i_0_917, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,times_times(nat,X1),X2)),hAPP(nat,nat,times_times(nat,X1),X3)))|zero_zero(nat)!=X1)). 15.01/2.42 cnf(i_0_1084, plain, (hAPP(int,int,div_mod(int,hAPP(int,int,times_times(int,X1),hAPP(int,int,div_mod(int,X2),X3))),X3)=hAPP(int,int,div_mod(int,hAPP(int,int,times_times(int,X1),X2)),X3))). 15.01/2.42 cnf(i_0_1535, plain, (hAPP(int,int,div_mod(int,hAPP(int,int,times_times(int,X1),hAPP(int,int,div_mod(int,X2),X3))),X3)=hAPP(int,int,div_mod(int,hAPP(int,int,times_times(int,X1),X2)),X3))). 15.01/2.42 cnf(i_0_288, plain, (hAPP(int,int,div_mod(int,hAPP(int,int,minus_minus(int,X1),hAPP(int,int,div_mod(int,X2),X3))),X3)=hAPP(int,int,div_mod(int,hAPP(int,int,minus_minus(int,X1),X2)),X3))). 15.01/2.42 cnf(i_0_1538, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X1),X2),hAPP(int,int,times_times(int,X3),X2)),X2)))). 15.01/2.42 cnf(i_0_297, plain, (hBOOL(hAPP(int,bool,X2,X1))|hBOOL(hAPP(int,bool,X2,hAPP(int,int,minus_minus(int,esk6_2(X1,X2)),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),esk6_2(X1,X2))))). 15.01/2.42 cnf(i_0_298, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X4),X3))|hAPP(nat,nat,plus_plus(nat,X1),X3)!=hAPP(nat,nat,plus_plus(nat,X4),X2)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 15.01/2.42 cnf(i_0_626, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(X1,X1,times_times(X1,X3),X2)),hAPP(X1,X1,times_times(X1,X4),X2)))|ti(X1,X2)!=zero_zero(X1)|~idom(X1))). 15.01/2.42 cnf(i_0_300, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4)))|ti(X1,X2)!=zero_zero(X1)|~idom(X1))). 15.01/2.42 cnf(i_0_329, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,X2),hAPP(X1,X1,div_mod(X1,X3),X4))),X4)=hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,X2),X3)),X4)|~semiring_div(X1))). 15.01/2.42 cnf(i_0_1136, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,X2),hAPP(X1,X1,div_mod(X1,X3),X4))),X4)=hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,X2),X3)),X4)|~semiring_div(X1))). 15.01/2.42 cnf(i_0_1135, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,times_times(X1,X2),hAPP(X1,X1,div_mod(X1,X3),X4))),X4)=hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,times_times(X1,X2),X3)),X4)|~semiring_div(X1))). 15.01/2.42 cnf(i_0_1380, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,minus_minus(X1,X2),hAPP(X1,X1,div_mod(X1,X3),X4))),X4)=hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,minus_minus(X1,X2),X3)),X4)|~ring_div(X1))). 15.01/2.42 cnf(i_0_1076, plain, (hAPP(X1,X1,times_times(X1,X2),hAPP(X1,X1,times_times(X1,hAPP(X1,X1,times_times(X1,X3),X4)),X5))=hAPP(X1,X1,times_times(X1,hAPP(X1,X1,times_times(X1,X3),X4)),hAPP(X1,X1,times_times(X1,X2),X5))|~comm_semiring_1(X1))). 15.01/2.42 cnf(i_0_455, plain, (X1=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_552, plain, (X1=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_694, plain, (X1=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_708, plain, (X1=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_858, plain, (X1=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_880, plain, (X1=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1061, plain, (X1=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1156, plain, (X1=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1313, plain, (X1=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1617, plain, (X1=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1268, 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)))). 15.01/2.42 cnf(i_0_1412, plain, (X1=X2|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X2),X1))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X2)))). 15.01/2.42 cnf(i_0_1261, plain, (ti(int,X1)=zero_zero(int)|hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(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(int),X1),esk27_3(X2,X3,X1))))). 15.01/2.42 cnf(i_0_1265, plain, (ti(int,X3)=zero_zero(int)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),zero_zero(int)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk29_3(X1,X2,X3))))). 15.01/2.42 cnf(i_0_876, plain, (ti(int,X1)=ti(int,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)))). 15.01/2.42 cnf(i_0_243, plain, (hAPP(nat,nat,times_times(nat,number_number_of(nat,X1)),hAPP(nat,nat,times_times(nat,number_number_of(nat,X2)),X3))=hAPP(nat,nat,times_times(nat,number_number_of(nat,hAPP(int,int,times_times(int,X1),X2))),X3)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 15.01/2.42 cnf(i_0_1090, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5))|hAPP(X1,X1,minus_minus(X1,X2),X3)!=hAPP(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)))). 15.01/2.42 cnf(i_0_1091, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5))|hAPP(X1,X1,minus_minus(X1,X2),X3)!=hAPP(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)))). 15.01/2.42 cnf(i_0_338, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|hAPP(X1,X1,minus_minus(X1,X2),X3)!=hAPP(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)))). 15.01/2.42 cnf(i_0_339, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5))|hAPP(X1,X1,minus_minus(X1,X2),X3)!=hAPP(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)))). 15.01/2.42 cnf(i_0_1237, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),zero_zero(int)))|~hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,X1,esk29_3(X1,X2,X3))))). 15.01/2.42 cnf(i_0_1221, plain, (hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(int,X3),X1)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,X2,X3))|~hBOOL(hAPP(int,bool,X2,esk27_3(X2,X3,X1))))). 15.01/2.42 cnf(i_0_1263, plain, (ti(int,X1)=zero_zero(int)|hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),esk28_3(X2,X3,X1))),esk29_3(X2,X3,X1))=ti(int,X3)|hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(int,X3),X1)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int))))). 15.01/2.42 cnf(i_0_1251, plain, (ti(int,X1)=zero_zero(int)|hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),esk26_3(X3,X2,X1))),esk27_3(X3,X2,X1))=ti(int,X2)|hBOOL(hAPP(int,bool,X3,hAPP(int,int,div_mod(int,X2),X1)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))). 15.01/2.42 cnf(i_0_1406, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),hAPP(int,int,plus_plus(int,X1),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 15.01/2.42 cnf(i_0_1143, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),min),hAPP(int,int,plus_plus(int,X1),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),X1)))). 15.01/2.42 cnf(i_0_501, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(int,int,plus_plus(int,X1),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X1)))). 15.01/2.42 cnf(i_0_405, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),hAPP(int,int,plus_plus(int,X1),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),X1)))). 15.01/2.42 cnf(i_0_175, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),hAPP(nat,nat,plus_plus(nat,X2),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1421, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,plus_plus(nat,X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1190, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,plus_plus(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.42 cnf(i_0_761, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,plus_plus(nat,X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1726, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,plus_plus(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 15.01/2.42 cnf(i_0_386, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,div_mod(int,X2),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int))))). 15.01/2.42 cnf(i_0_1150, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,div_mod(int,X2),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int))))). 15.01/2.42 cnf(i_0_735, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(int,int,minus_minus(int,X2),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 15.01/2.42 cnf(i_0_1383, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,plus_plus(int,X2),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 15.01/2.42 cnf(i_0_1485, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,plus_plus(int,X2),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 15.01/2.42 cnf(i_0_208, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,minus_minus(nat,X2),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 15.01/2.42 cnf(i_0_763, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit1(X1)),hAPP(int,int,plus_plus(int,X2),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 15.01/2.42 cnf(i_0_1385, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit1(X1)),hAPP(int,int,plus_plus(int,X2),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 15.01/2.42 cnf(i_0_294, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(X1)),hAPP(int,int,plus_plus(int,X2),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 15.01/2.42 cnf(i_0_387, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(X1)),hAPP(int,int,plus_plus(int,X2),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 15.01/2.42 cnf(i_0_61, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,div_mod(int,X2),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))). 15.01/2.42 cnf(i_0_649, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,div_mod(int,X2),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))). 15.01/2.42 cnf(i_0_1180, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,div_mod(int,X1),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))). 15.01/2.42 cnf(i_0_370, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(nat,int,power_power(int,X1),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))). 15.01/2.42 cnf(i_0_1349, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,plus_plus(nat,X2),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 15.01/2.42 cnf(i_0_1350, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,plus_plus(nat,X1),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 15.01/2.42 cnf(i_0_42, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,power_power(nat,X1),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 15.01/2.42 cnf(i_0_546, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,power_power(nat,X1),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 15.01/2.42 cnf(i_0_590, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,plus_plus(nat,X2),X3)),X1)=hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,minus_minus(nat,X2),X1)),X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1085, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,plus_plus(nat,X2),X3)),X1)=hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,minus_minus(nat,X2),X1)),X3)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1264, plain, (ti(int,X3)=zero_zero(int)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),zero_zero(int)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk29_3(X1,X2,X3)),X3)))). 15.01/2.42 cnf(i_0_1260, plain, (ti(int,X3)=zero_zero(int)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),esk27_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk29_3(X1,X2,X3))))). 15.01/2.42 cnf(i_0_582, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(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)))). 15.01/2.42 cnf(i_0_1256, plain, (ti(int,X1)=zero_zero(int)|hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(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),esk27_3(X2,X3,X1)),zero_zero(int))))). 15.01/2.42 cnf(i_0_798, plain, (hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),dvd_dvd(X2),X3),hAPP(nat,X2,power_power(X2,X3),X1)))|~comm_semiring_1(X2)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 15.01/2.42 cnf(i_0_1615, plain, (hAPP(int,int,div_mod(int,X1),X2)=ti(int,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_eq(int),X1),zero_zero(int))))). 15.01/2.42 cnf(i_0_1719, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,times_times(X1,X4),X3)))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 15.01/2.42 cnf(i_0_1434, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,times_times(X1,X3),X4)))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 15.01/2.42 cnf(i_0_511, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,power_power(nat,X1),number_number_of(nat,X2))))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 15.01/2.42 cnf(i_0_28, plain, (hAPP(int,int,div_mod(int,X1),X2)=ti(int,X1)|~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),zero_zero(int)),X1)))). 15.01/2.42 cnf(i_0_1232, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),esk27_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,X1,esk29_3(X1,X2,X3))))). 15.01/2.42 cnf(i_0_1220, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk29_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,X1,esk27_3(X1,X2,X3))))). 15.01/2.42 cnf(i_0_1258, plain, (ti(int,X1)=zero_zero(int)|hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),esk28_3(X2,X3,X1))),esk29_3(X2,X3,X1))=ti(int,X3)|hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(int,X3),X1)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),esk27_3(X2,X3,X1))))). 15.01/2.42 cnf(i_0_1250, plain, (ti(int,X3)=zero_zero(int)|hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X3),esk26_3(X1,X2,X3))),esk27_3(X1,X2,X3))=ti(int,X2)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk29_3(X1,X2,X3))))). 15.01/2.42 cnf(i_0_1625, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(nat,X1,power_power(X1,X2),X3)))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))). 15.01/2.42 cnf(i_0_33, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),one_one(X1)),hAPP(nat,X1,power_power(X1,X2),X3)))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),one_one(X1)),X2)))). 15.01/2.42 cnf(i_0_146, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(nat,X1,power_power(X1,X2),X3)))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))). 15.01/2.42 cnf(i_0_31, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(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)))). 15.01/2.42 cnf(i_0_214, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(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)))). 15.01/2.42 cnf(i_0_530, plain, (hAPP(nat,real,power_power(real,esk12_2(X1,X2)),X2)=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X1)))). 15.01/2.42 cnf(i_0_691, plain, (hAPP(nat,real,power_power(real,esk14_2(X1,X2)),X2)=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X1)))). 15.01/2.42 cnf(i_0_1222, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X3),esk26_3(X1,X2,X3))),esk27_3(X1,X2,X3))=ti(int,X2)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|~hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,X1,esk29_3(X1,X2,X3))))). 15.01/2.42 cnf(i_0_1218, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),esk28_3(X2,X3,X1))),esk29_3(X2,X3,X1))=ti(int,X3)|hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(int,X3),X1)))|~hBOOL(hAPP(int,bool,X2,X3))|~hBOOL(hAPP(int,bool,X2,esk27_3(X2,X3,X1))))). 15.01/2.42 cnf(i_0_1248, plain, (ti(int,X1)=zero_zero(int)|hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),esk26_3(X2,X3,X1))),esk27_3(X2,X3,X1))=ti(int,X3)|hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),esk28_3(X2,X3,X1))),esk29_3(X2,X3,X1))=ti(int,X3)|hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(int,X3),X1))))). 15.01/2.42 cnf(i_0_1259, plain, (ti(int,X3)=zero_zero(int)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),esk27_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk29_3(X1,X2,X3)),X3)))). 15.01/2.42 cnf(i_0_1255, plain, (ti(int,X3)=zero_zero(int)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk29_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk27_3(X1,X2,X3)),zero_zero(int))))). 15.01/2.42 cnf(i_0_503, plain, (hAPP(nat,X1,power_power(X1,number_number_of(X1,min)),hAPP(nat,nat,times_times(nat,number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X2))=one_one(X1)|~number_ring(X1))). 15.01/2.42 cnf(i_0_1398, plain, (hBOOL(hAPP(nat,bool,X3,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,minus_minus(nat,X1),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1705, plain, (hBOOL(hAPP(nat,bool,X3,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X3,hAPP(nat,nat,minus_minus(nat,X1),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1219, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk29_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,X1,esk27_3(X1,X2,X3))))). 15.01/2.42 cnf(i_0_1227, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk27_3(X1,X2,X3)),zero_zero(int)))|~hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,X1,esk29_3(X1,X2,X3))))). 15.01/2.42 cnf(i_0_177, plain, (hAPP(X1,X1,plus_plus(X1,X3),X2)=zero_zero(X1)|ti(X1,X3)!=zero_zero(X1)|ti(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)))). 15.01/2.42 cnf(i_0_1249, plain, (ti(int,X3)=zero_zero(int)|hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X3),esk26_3(X1,X2,X3))),esk27_3(X1,X2,X3))=ti(int,X2)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk29_3(X1,X2,X3)),X3)))). 15.01/2.42 cnf(i_0_1253, plain, (ti(int,X1)=zero_zero(int)|hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),esk28_3(X2,X3,X1))),esk29_3(X2,X3,X1))=ti(int,X3)|hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(int,X3),X1)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk27_3(X2,X3,X1)),zero_zero(int))))). 15.01/2.42 cnf(i_0_1241, plain, (hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(int,X3),X1)))|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),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,X2,X3)))). 15.01/2.42 cnf(i_0_85, plain, (hBOOL(hAPP(int,bool,X2,X3))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),esk2_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)))). 15.01/2.42 cnf(i_0_1067, plain, (~number(X1)|~linorder(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),number_number_of(X1,X2)),number_number_of(X1,X3)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),number_number_of(X1,X3)),number_number_of(X1,X2))))). 15.01/2.42 cnf(i_0_365, plain, (hBOOL(hAPP(fun(int,bool),bool,member(int,X1),d22set(X2)))|~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),one_one(int)),X1)))). 15.01/2.42 cnf(i_0_178, plain, (ti(X1,X2)=zero_zero(X1)|hAPP(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)))). 15.01/2.42 cnf(i_0_179, plain, (ti(X1,X2)=zero_zero(X1)|hAPP(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)))). 15.01/2.42 cnf(i_0_1254, plain, (ti(int,X3)=zero_zero(int)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk29_3(X1,X2,X3)),X3))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk27_3(X1,X2,X3)),zero_zero(int))))). 15.01/2.42 cnf(i_0_1008, 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),X2),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2)))). 15.01/2.42 cnf(i_0_828, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X4),X1),hAPP(int,int,times_times(int,X4),X2)),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 15.01/2.42 cnf(i_0_361, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X1),X4),hAPP(int,int,times_times(int,X2),X4)),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 15.01/2.42 cnf(i_0_1323, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(int,int,plus_plus(int,X1),X4),hAPP(int,int,plus_plus(int,X2),X4)),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 15.01/2.42 cnf(i_0_542, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(int,int,div_mod(int,X1),X3),hAPP(int,int,div_mod(int,X2),X3)),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 15.01/2.42 cnf(i_0_1365, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,X1),X4),hAPP(nat,int,power_power(int,X2),X4)),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 15.01/2.42 cnf(i_0_1407, 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,plus_plus(int,X1),X1))))). 15.01/2.42 cnf(i_0_500, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(int,int,plus_plus(int,X1),X1))))). 15.01/2.42 cnf(i_0_1142, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),min),hAPP(int,int,plus_plus(int,X1),X1))))). 15.01/2.42 cnf(i_0_406, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),hAPP(int,int,plus_plus(int,X1),X1))))). 15.01/2.42 cnf(i_0_1236, plain, (hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(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(int),X1),esk27_3(X2,X3,X1)))|~hBOOL(hAPP(int,bool,X2,X3)))). 15.01/2.42 cnf(i_0_1240, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),zero_zero(int)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk29_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X1,X2)))). 15.01/2.42 cnf(i_0_176, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),hAPP(nat,nat,plus_plus(nat,X2),X1))))). 15.01/2.42 cnf(i_0_1104, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk24_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)))). 15.01/2.42 cnf(i_0_1382, 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,plus_plus(int,X2),one_one(int)))))). 15.01/2.42 cnf(i_0_200, 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,minus_minus(int,X2),one_one(int)))))). 15.01/2.42 cnf(i_0_734, 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,minus_minus(int,X2),one_one(int)))))). 15.01/2.42 cnf(i_0_207, 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,minus_minus(nat,X1),X2))))). 15.01/2.42 cnf(i_0_251, 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,times_times(nat,X2),X1))))). 15.01/2.42 cnf(i_0_252, 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,times_times(nat,X1),X2))))). 15.01/2.42 cnf(i_0_767, plain, (hBOOL(hAPP(int,bool,zcong(zfact(hAPP(int,int,minus_minus(int,X1),one_one(int))),number_number_of(int,min)),X1))|~hBOOL(hAPP(int,bool,zprime,X1)))). 15.01/2.42 cnf(i_0_44, plain, (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,power_power(nat,X1),X2))))). 15.01/2.42 cnf(i_0_544, plain, (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,power_power(nat,X1),X2))))). 15.01/2.42 cnf(i_0_764, 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),bit1(X1)),hAPP(int,int,plus_plus(int,X2),X2))))). 15.01/2.42 cnf(i_0_1386, 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),bit1(X1)),hAPP(int,int,plus_plus(int,X2),X2))))). 15.01/2.42 cnf(i_0_293, 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),bit1(X1)),hAPP(int,int,plus_plus(int,X2),X2))))). 15.01/2.42 cnf(i_0_388, 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),bit1(X1)),hAPP(int,int,plus_plus(int,X2),X2))))). 15.01/2.42 cnf(i_0_1484, plain, (ti(int,X1)=ti(int,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,plus_plus(int,X2),one_one(int)))))). 15.01/2.42 cnf(i_0_619, plain, (ti(int,X1)=one_one(int)|ti(int,X1)=ti(int,X2)|~hBOOL(hAPP(int,bool,zprime,X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))). 15.01/2.42 cnf(i_0_278, plain, (X1=X3|hAPP(nat,nat,minus_minus(nat,X1),X2)!=hAPP(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)))). 15.01/2.42 cnf(i_0_1238, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),esk28_3(X2,X3,X1))),esk29_3(X2,X3,X1))=ti(int,X3)|hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(int,X3),X1)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int)))|~hBOOL(hAPP(int,bool,X2,X3)))). 15.01/2.42 cnf(i_0_1226, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),esk26_3(X3,X2,X1))),esk27_3(X3,X2,X1))=ti(int,X2)|hBOOL(hAPP(int,bool,X3,hAPP(int,int,div_mod(int,X2),X1)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,X3,X2)))). 15.01/2.42 cnf(i_0_137, 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),X1),pls))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),number_number_of(nat,X1)),number_number_of(nat,X2))))). 15.01/2.42 cnf(i_0_749, plain, (hAPP(X1,X1,times_times(X1,number_number_of(X1,X2)),number_number_of(X1,X3))=number_number_of(X1,hAPP(int,int,times_times(int,X2),X3))|~number_semiring(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2)))). 15.01/2.42 cnf(i_0_1174, plain, (hAPP(X1,X1,plus_plus(X1,number_number_of(X1,X2)),number_number_of(X1,X3))=number_number_of(X1,hAPP(int,int,plus_plus(int,X2),X3))|~number_semiring(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2)))). 15.01/2.42 cnf(i_0_1394, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,plus_plus(nat,X1),X2)),X2)))). 15.01/2.42 cnf(i_0_1637, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,plus_plus(nat,X1),X2)),X1)))). 15.01/2.42 cnf(i_0_1541, plain, (~hBOOL(hAPP(int,bool,zcong(X1,zero_zero(int)),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)),X1)))). 15.01/2.42 cnf(i_0_378, plain, (ti(int,X1)=zero_zero(int)|~hBOOL(hAPP(int,bool,zcong(X1,zero_zero(int)),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),zero_zero(int)),X1)))). 15.01/2.42 cnf(i_0_1612, plain, (ti(int,X1)=zero_zero(int)|~hBOOL(hAPP(int,bool,zcong(X1,zero_zero(int)),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),zero_zero(int)),X1)))). 15.01/2.42 cnf(i_0_1420, plain, (hAPP(nat,nat,div_mod(nat,hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X3),X2)),X1)),X2)=hAPP(nat,nat,div_mod(nat,X1),X2))). 15.01/2.42 cnf(i_0_509, plain, (number_number_of(nat,X2)=zero_zero(nat)|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,power_power(nat,X1),number_number_of(nat,X2)))))). 15.01/2.42 cnf(i_0_32, 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,plus_plus(X1,X2),X2))))). 15.01/2.42 cnf(i_0_215, 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,plus_plus(X1,X2),X2))))). 15.01/2.42 cnf(i_0_1239, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),zero_zero(int)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk29_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,X1,X2)))). 15.01/2.42 cnf(i_0_1235, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),esk27_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk29_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X1,X2)))). 15.01/2.42 cnf(i_0_1231, plain, (hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(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),esk27_3(X2,X3,X1)),zero_zero(int)))|~hBOOL(hAPP(int,bool,X2,X3)))). 15.01/2.42 cnf(i_0_1267, plain, (~linordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X2),X2)),zero_zero(X1))))). 15.01/2.42 cnf(i_0_1233, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),esk28_3(X2,X3,X1))),esk29_3(X2,X3,X1))=ti(int,X3)|hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(int,X3),X1)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),esk27_3(X2,X3,X1)))|~hBOOL(hAPP(int,bool,X2,X3)))). 15.01/2.42 cnf(i_0_1225, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X3),esk26_3(X1,X2,X3))),esk27_3(X1,X2,X3))=ti(int,X2)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk29_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X1,X2)))). 15.01/2.42 cnf(i_0_1665, plain, (ti(X1,X4)=ti(X1,X5)|ti(X1,X2)=ti(X1,X3)|hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X3),X4)),hAPP(X1,X1,times_times(X1,X2),X5))!=hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X3),X5)),hAPP(X1,X1,times_times(X1,X2),X4))|~semiri456707255roduct(X1))). 15.01/2.42 cnf(i_0_229, plain, (ti(X1,X3)=ti(X1,X5)|ti(X1,X2)=ti(X1,X4)|hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X4),X5))!=hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X5)),hAPP(X1,X1,times_times(X1,X4),X3))|~semiri456707255roduct(X1))). 15.01/2.42 cnf(i_0_1460, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,plus_plus(X1,esk38_3(X1,X3,X2)),zero_zero(X1))))|~semiring_0(X1)|~dvd(X1)|~hBOOL(hAPP(X1,bool,X3,hAPP(X1,X1,times_times(X1,X2),X4))))). 15.01/2.42 cnf(i_0_1223, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),esk26_3(X2,X3,X1))),esk27_3(X2,X3,X1))=ti(int,X3)|hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),esk28_3(X2,X3,X1))),esk29_3(X2,X3,X1))=ti(int,X3)|hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(int,X3),X1)))|~hBOOL(hAPP(int,bool,X2,X3)))). 15.01/2.42 cnf(i_0_1234, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),esk27_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk29_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,X1,X2)))). 15.01/2.42 cnf(i_0_1005, plain, (hBOOL(hAPP(int,bool,zcong(X3,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X2),X3),zero_zero(int)),X1)))). 15.01/2.42 cnf(i_0_1230, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),esk29_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk27_3(X1,X2,X3)),zero_zero(int)))|~hBOOL(hAPP(int,bool,X1,X2)))). 15.01/2.42 cnf(i_0_1495, plain, (hBOOL(hAPP(int,bool,X1,X3))|hBOOL(hAPP(int,bool,X1,esk39_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,plus_plus(int,X2),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3)))). 15.01/2.42 cnf(i_0_705, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,X1,esk15_3(X1,X2,X3)))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,minus_minus(int,X3),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3)))). 15.01/2.42 cnf(i_0_49, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,plus_plus(int,X1),X1)),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),pls)))). 15.01/2.42 cnf(i_0_682, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,plus_plus(int,X1),X1)),min))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),min)))). 15.01/2.42 cnf(i_0_1021, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,X1),X1)),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 15.01/2.42 cnf(i_0_1441, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,X1),X1)),min))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),min)))). 15.01/2.42 cnf(i_0_899, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,minus_minus(nat,X1),X3)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1078, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,minus_minus(int,X1),X2)),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 15.01/2.42 cnf(i_0_1161, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),hAPP(real,real,minus_minus(real,X1),X2)),zero_zero(real)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X2)))). 15.01/2.42 cnf(i_0_1031, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,plus_plus(int,X1),X1)),bit1(X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 15.01/2.42 cnf(i_0_1139, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,plus_plus(int,X1),X1)),bit1(X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 15.01/2.42 cnf(i_0_166, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,X1),X1)),bit1(X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 15.01/2.42 cnf(i_0_1506, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,X1),X1)),bit1(X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 15.01/2.42 cnf(i_0_480, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,div_mod(int,X2),X1)),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int))))). 15.01/2.42 cnf(i_0_1149, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,div_mod(int,X1),X2)),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),zero_zero(int))))). 15.01/2.42 cnf(i_0_1644, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,X1),X1)),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int))))). 15.01/2.42 cnf(i_0_12, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,div_mod(int,X1),X2)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))). 15.01/2.42 cnf(i_0_956, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,div_mod(int,X2),X1)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))). 15.01/2.42 cnf(i_0_1572, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,div_mod(int,X2),X1)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))). 15.01/2.42 cnf(i_0_1181, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,div_mod(int,X1),X2)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))). 15.01/2.42 cnf(i_0_996, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,div_mod(nat,X2),X1)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 15.01/2.42 cnf(i_0_1133, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,div_mod(nat,X2),X1)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 15.01/2.42 cnf(i_0_670, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,plus_plus(int,X1),one_one(int))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 15.01/2.42 cnf(i_0_1000, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,plus_plus(int,X1),one_one(int))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 15.01/2.42 cnf(i_0_67, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,times_times(nat,X2),X1)),X2))|X1!=one_one(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)))). 15.01/2.42 cnf(i_0_513, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,times_times(nat,X1),X2)),X2))|one_one(nat)!=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)))). 15.01/2.42 cnf(i_0_1224, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X3),esk26_3(X1,X2,X3))),esk27_3(X1,X2,X3))=ti(int,X2)|hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk29_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,X1,X2)))). 15.01/2.42 cnf(i_0_1228, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),esk28_3(X2,X3,X1))),esk29_3(X2,X3,X1))=ti(int,X3)|hBOOL(hAPP(int,bool,X2,hAPP(int,int,div_mod(int,X3),X1)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk27_3(X2,X3,X1)),zero_zero(int)))|~hBOOL(hAPP(int,bool,X2,X3)))). 15.01/2.42 cnf(i_0_1571, plain, (hAPP(X1,X1,times_times(X1,hAPP(nat,X1,power_power(X1,X3),hAPP(nat,nat,minus_minus(nat,X2),one_one(nat)))),X3)=hAPP(nat,X1,power_power(X1,X3),X2)|~monoid_mult(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)))). 15.01/2.42 cnf(i_0_898, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),number_number_of(int,hAPP(int,int,plus_plus(int,X1),X1))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),number_number_of(int,X1))))). 15.01/2.42 cnf(i_0_1362, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(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)))). 15.01/2.42 cnf(i_0_886, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(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)))). 15.01/2.42 cnf(i_0_90, plain, (ti(int,X2)=inv(X3,X1)|ti(int,X1)=ti(int,X2)|hBOOL(hAPP(fun(int,bool),bool,member(int,X2),wset(hAPP(int,int,minus_minus(int,X1),one_one(int)),X3)))|~hBOOL(hAPP(fun(int,bool),bool,member(int,X2),wset(X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1)))). 15.01/2.42 cnf(i_0_1229, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,div_mod(int,X2),X3)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk29_3(X1,X2,X3)),X3))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),esk27_3(X1,X2,X3)),zero_zero(int)))|~hBOOL(hAPP(int,bool,X1,X2)))). 15.01/2.42 cnf(i_0_421, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(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))))). 15.01/2.42 cnf(i_0_954, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(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))))). 15.01/2.42 cnf(i_0_1096, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(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))))). 15.01/2.42 cnf(i_0_182, 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,times_times(nat,X2),X1)),hAPP(nat,nat,times_times(nat,X3),X1))))). 15.01/2.42 cnf(i_0_836, 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,times_times(nat,X1),X2)),hAPP(nat,nat,times_times(nat,X1),X3))))). 15.01/2.42 cnf(i_0_627, plain, (wset(hAPP(int,int,minus_minus(int,X1),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)=d22set(hAPP(int,int,minus_minus(int,X1),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))|~hBOOL(hAPP(int,bool,zprime,X1)))). 15.01/2.42 cnf(i_0_522, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(nat,int,power_power(int,X2),X3))))). 15.01/2.42 cnf(i_0_30, 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)))). 15.01/2.42 cnf(i_0_156, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1137, 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)))). 15.01/2.42 cnf(i_0_1366, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X3))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X2),X3))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X2)))). 15.01/2.42 cnf(i_0_1169, 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),dvd_dvd(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))). 15.01/2.42 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),dvd_dvd(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)))). 15.01/2.42 cnf(i_0_972, 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),dvd_dvd(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 15.01/2.42 cnf(i_0_404, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X1),X4),hAPP(int,int,times_times(int,X2),X5)),X3))|~hBOOL(hAPP(int,bool,zcong(X4,X5),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 15.01/2.42 cnf(i_0_1473, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(int,int,plus_plus(int,X1),X4),hAPP(int,int,plus_plus(int,X2),X5)),X3))|~hBOOL(hAPP(int,bool,zcong(X4,X5),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 15.01/2.42 cnf(i_0_73, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(int,int,minus_minus(int,X1),X4),hAPP(int,int,minus_minus(int,X2),X5)),X3))|~hBOOL(hAPP(int,bool,zcong(X4,X5),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 15.01/2.42 cnf(i_0_319, plain, (hAPP(int,int,div_mod(int,hAPP(int,int,div_mod(int,X3),X2)),X1)=hAPP(int,int,div_mod(int,X3),X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))). 15.01/2.42 cnf(i_0_531, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),esk12_2(X1,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X1)))). 15.01/2.42 cnf(i_0_692, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),esk14_2(X1,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X1)))). 15.01/2.42 cnf(i_0_470, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),number_number_of(nat,X2)),number_number_of(nat,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),pls),X1)))). 15.01/2.42 cnf(i_0_491, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X4))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 15.01/2.42 cnf(i_0_473, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),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),number_number_of(nat,X1)),number_number_of(nat,X2))))). 15.01/2.42 cnf(i_0_1549, plain, (hAPP(int,int,div_mod(int,number_number_of(int,hAPP(int,int,plus_plus(int,X1),X1))),number_number_of(int,hAPP(int,int,plus_plus(int,X2),X2)))=hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),hAPP(int,int,div_mod(int,number_number_of(int,X1)),number_number_of(int,X2))))). 15.01/2.42 cnf(i_0_273, plain, (hAPP(int,int,div_mod(int,hAPP(int,int,minus_minus(int,hAPP(int,int,div_mod(int,X1),X3)),X2)),X3)=hAPP(int,int,div_mod(int,hAPP(int,int,minus_minus(int,X1),X2)),X3))). 15.01/2.42 cnf(i_0_1294, plain, (hAPP(int,int,div_mod(int,hAPP(nat,int,power_power(int,hAPP(int,int,div_mod(int,X1),X2)),X3)),X2)=hAPP(int,int,div_mod(int,hAPP(nat,int,power_power(int,X1),X3)),X2))). 15.01/2.42 cnf(i_0_811, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,minus_minus(nat,X2),X1)),hAPP(nat,nat,minus_minus(nat,X3),X1))=hAPP(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)))). 15.01/2.42 cnf(i_0_1461, plain, (hBOOL(hAPP(X1,bool,X4,hAPP(X1,X1,times_times(X1,X2),esk37_3(X1,X4,X2))))|~semiring_0(X1)|~dvd(X1)|~hBOOL(hAPP(X1,bool,X4,X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,plus_plus(X1,X3),zero_zero(X1)))))). 15.01/2.42 cnf(i_0_515, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,times_times(X1,hAPP(X1,X1,div_mod(X1,X2),X4)),X3)),X4)=hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,times_times(X1,X2),X3)),X4)|~semiring_div(X1))). 15.01/2.42 cnf(i_0_983, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,div_mod(X1,X2),X4)),X3)),X4)=hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,X2),X3)),X4)|~semiring_div(X1))). 15.01/2.42 cnf(i_0_1679, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,times_times(X1,hAPP(X1,X1,div_mod(X1,X2),X3)),X4)),X3)=hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,times_times(X1,X2),X4)),X3)|~semiring_div(X1))). 15.01/2.42 cnf(i_0_1011, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,div_mod(X1,X2),X3)),X4)),X3)=hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,X2),X4)),X3)|~semiring_div(X1))). 15.01/2.42 cnf(i_0_1355, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,minus_minus(X1,hAPP(X1,X1,div_mod(X1,X2),X3)),X4)),X3)=hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,minus_minus(X1,X2),X4)),X3)|~ring_div(X1))). 15.01/2.42 cnf(i_0_433, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))))). 15.01/2.42 cnf(i_0_1496, plain, (hBOOL(hAPP(int,bool,X2,X3))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),esk39_3(X2,X1,X3)))|~hBOOL(hAPP(int,bool,X2,hAPP(int,int,plus_plus(int,X1),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X3)))). 15.01/2.42 cnf(i_0_1716, plain, (hAPP(nat,X1,power_power(X1,X2),hAPP(nat,nat,times_times(nat,number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X3))=hAPP(X1,X1,times_times(X1,hAPP(nat,X1,power_power(X1,X2),X3)),hAPP(nat,X1,power_power(X1,X2),X3))|~comm_semiring_1(X1))). 15.01/2.42 cnf(i_0_999, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))))|~linordered_idom(X1))). 15.01/2.42 cnf(i_0_931, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(int,int,plus_plus(int,X2),hAPP(int,int,times_times(int,X1),X3))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2)))). 15.01/2.42 cnf(i_0_1160, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,plus_plus(int,X3),X1)),hAPP(int,int,plus_plus(int,X3),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 15.01/2.42 cnf(i_0_284, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,plus_plus(int,X1),X1)),hAPP(int,int,plus_plus(int,X2),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 15.01/2.42 cnf(i_0_1041, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,plus_plus(int,X1),X1)),hAPP(int,int,plus_plus(int,X2),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 15.01/2.42 cnf(i_0_952, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,X1),X3)),hAPP(int,int,plus_plus(int,X2),X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 15.01/2.42 cnf(i_0_536, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,X1),X1)),hAPP(int,int,plus_plus(int,X2),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 15.01/2.42 cnf(i_0_1722, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,X1),X1)),hAPP(int,int,plus_plus(int,X2),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 15.01/2.42 cnf(i_0_495, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,times_times(nat,X3),X1)),hAPP(nat,nat,times_times(nat,X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_918, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,times_times(nat,X3),X1)),hAPP(nat,nat,times_times(nat,X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_739, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,times_times(nat,X1),X3)),hAPP(nat,nat,times_times(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1593, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,times_times(nat,X1),X3)),hAPP(nat,nat,times_times(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_199, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,power_power(nat,X1),X3)),hAPP(nat,nat,power_power(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_268, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,times_times(nat,X3),X1)),hAPP(nat,nat,times_times(nat,X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.42 cnf(i_0_835, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,times_times(nat,X3),X1)),hAPP(nat,nat,times_times(nat,X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.42 cnf(i_0_181, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,times_times(nat,X1),X3)),hAPP(nat,nat,times_times(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1497, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,times_times(nat,X1),X3)),hAPP(nat,nat,times_times(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1554, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,plus_plus(nat,X3),X1)),hAPP(nat,nat,plus_plus(nat,X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.42 cnf(i_0_149, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,plus_plus(nat,X1),X3)),hAPP(nat,nat,plus_plus(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1101, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,minus_minus(nat,X3),X2)),hAPP(nat,nat,minus_minus(nat,X3),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1534, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,minus_minus(nat,X1),X3)),hAPP(nat,nat,minus_minus(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.42 cnf(i_0_465, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,plus_plus(nat,X3),X1)),hAPP(nat,nat,plus_plus(nat,X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1134, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,plus_plus(nat,X1),X3)),hAPP(nat,nat,plus_plus(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 15.01/2.42 cnf(i_0_991, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),hAPP(real,real,plus_plus(real,X3),X1)),hAPP(real,real,plus_plus(real,X3),X2)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X2)))). 15.01/2.42 cnf(i_0_334, plain, (X3=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,power_power(nat,X1),X3)),hAPP(nat,nat,power_power(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_994, plain, (zero_zero(nat)=X3|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(nat,int,power_power(int,X1),X3)),hAPP(nat,int,power_power(int,X2),X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2)))). 15.01/2.42 cnf(i_0_1056, plain, (ti(X1,X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))))|~linordered_idom(X1))). 15.01/2.42 cnf(i_0_392, plain, (ti(int,X3)=zero_zero(int)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(int,int,times_times(int,X3),X1)),hAPP(int,int,times_times(int,X3),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2)))). 15.01/2.42 cnf(i_0_1351, 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,plus_plus(nat,X1),X2))))). 15.01/2.42 cnf(i_0_1507, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(nat,X1,power_power(X1,X4),X2)),hAPP(nat,X1,power_power(X1,X4),X3)))|~comm_semiring_1(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))). 15.01/2.42 cnf(i_0_48, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,plus_plus(int,X1),X1)),pls)))). 15.01/2.42 cnf(i_0_681, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),min))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,plus_plus(int,X1),X1)),min)))). 15.01/2.42 cnf(i_0_1442, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),min))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,X1),X1)),min)))). 15.01/2.42 cnf(i_0_1020, 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,plus_plus(int,X1),X1)),pls)))). 15.01/2.42 cnf(i_0_1607, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(nat,X1,power_power(X1,X2),X4)),hAPP(nat,X1,power_power(X1,X3),X4)))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 15.01/2.42 cnf(i_0_461, 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,plus_plus(nat,X1),X2)),X3)))). 15.01/2.42 cnf(i_0_295, 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,plus_plus(nat,X1),X2)),X3)))). 15.01/2.42 cnf(i_0_830, 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,plus_plus(nat,X3),X1)),X2)))). 15.01/2.42 cnf(i_0_831, 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,plus_plus(nat,X1),X3)),X2)))). 15.01/2.42 cnf(i_0_1646, 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,plus_plus(nat,X1),X2)),X3)))). 15.01/2.42 cnf(i_0_323, plain, (zero_zero(nat)=X1|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,power_power(nat,X2),X1)),X3)))). 15.01/2.42 cnf(i_0_1077, 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,minus_minus(int,X1),X2)),zero_zero(int))))). 15.01/2.42 cnf(i_0_1162, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),hAPP(real,real,minus_minus(real,X1),X2)),zero_zero(real))))). 15.01/2.42 cnf(i_0_299, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(X1,X1,times_times(X1,X4),X2)),hAPP(X1,X1,times_times(X1,X4),X3)))|~idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 15.01/2.42 cnf(i_0_625, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(X1,X1,times_times(X1,X3),X4)))|~idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 15.01/2.42 cnf(i_0_41, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,plus_plus(X1,X4),X2)),hAPP(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)))). 15.01/2.42 cnf(i_0_1579, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,plus_plus(X1,X4),X2)),hAPP(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)))). 15.01/2.42 cnf(i_0_700, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,plus_plus(X1,X2),X4)),hAPP(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)))). 15.01/2.42 cnf(i_0_183, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,plus_plus(X1,X2),X4)),hAPP(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)))). 15.01/2.42 cnf(i_0_1022, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,plus_plus(X1,X4),X2)),hAPP(X1,X1,plus_plus(X1,X4),X3)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))). 15.01/2.42 cnf(i_0_110, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,plus_plus(X1,X4),X2)),hAPP(X1,X1,plus_plus(X1,X4),X3)))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))). 15.01/2.42 cnf(i_0_1619, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,plus_plus(X1,X2),X4)),hAPP(X1,X1,plus_plus(X1,X3),X4)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))). 15.01/2.42 cnf(i_0_631, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,plus_plus(X1,X2),X4)),hAPP(X1,X1,plus_plus(X1,X3),X4)))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3)))). 15.01/2.42 cnf(i_0_1643, 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,plus_plus(int,X1),X1)),zero_zero(int))))). 15.01/2.42 cnf(i_0_1032, 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,plus_plus(int,X1),X1)),bit1(X2))))). 15.01/2.42 cnf(i_0_1140, 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,plus_plus(int,X1),X1)),bit1(X2))))). 15.01/2.42 cnf(i_0_165, 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),hAPP(int,int,plus_plus(int,X1),X1)),bit1(X2))))). 15.01/2.42 cnf(i_0_1505, 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),hAPP(int,int,plus_plus(int,X1),X1)),bit1(X2))))). 15.01/2.42 cnf(i_0_1051, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X1))|~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)),X1)))). 15.01/2.42 cnf(i_0_463, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X1))|~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)),X1)))). 15.01/2.42 cnf(i_0_706, plain, (hBOOL(hAPP(int,bool,X1,X2))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk15_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,minus_minus(int,X3),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3)))). 15.01/2.42 cnf(i_0_1001, 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,plus_plus(int,X1),one_one(int))),X2)))). 15.01/2.42 cnf(i_0_550, plain, (inv(X1,X2)!=zero_zero(int)|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),hAPP(int,int,minus_minus(int,X1),one_one(int)))))). 15.01/2.42 cnf(i_0_115, plain, (inv(X1,X2)!=one_one(int)|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),hAPP(int,int,minus_minus(int,X1),one_one(int)))))). 15.01/2.42 cnf(i_0_976, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),hAPP(X1,X1,times_times(X1,X2),hAPP(nat,X1,power_power(X1,X2),X3))))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X2)))). 15.01/2.42 cnf(i_0_949, plain, (inv(X1,X2)!=ti(int,X2)|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),hAPP(int,int,minus_minus(int,X1),one_one(int)))))). 15.01/2.42 cnf(i_0_326, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X3))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(fun(int,bool),bool,member(int,X3),wset(X2,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),hAPP(int,int,minus_minus(int,X1),one_one(int)))))). 15.01/2.42 cnf(i_0_1027, plain, (hBOOL(hAPP(fun(int,bool),bool,member(int,X2),wset(X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1))|~hBOOL(hAPP(fun(int,bool),bool,member(int,X2),wset(hAPP(int,int,minus_minus(int,X1),one_one(int)),X3))))). 15.01/2.42 cnf(i_0_125, plain, (zero_zero(nat)=X1|hBOOL(hAPP(nat,bool,X5,X2))|X3!=hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X4)),X2)|~hBOOL(hAPP(nat,bool,X5,hAPP(nat,nat,div_mod(nat,X3),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1)))). 15.01/2.42 cnf(i_0_309, 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,times_times(X1,X3),X2))))). 15.01/2.42 cnf(i_0_308, 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,times_times(X1,X2),X3))))). 15.01/2.42 cnf(i_0_307, 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,times_times(X1,X3),X2))))). 15.01/2.42 cnf(i_0_310, 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,times_times(X1,X2),X3))))). 15.01/2.42 cnf(i_0_83, 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,plus_plus(int,esk2_3(X1,X2,X3)),one_one(int)))))). 15.01/2.42 cnf(i_0_1102, 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,minus_minus(int,esk24_3(X1,X2,X3)),one_one(int)))))). 15.01/2.42 cnf(i_0_189, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X3),X4))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(X1,X1,times_times(X1,X2),X3)),X4)))). 15.01/2.42 cnf(i_0_587, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X4))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(X1,X1,times_times(X1,X2),X3)),X4)))). 15.01/2.42 cnf(i_0_114, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(int,int,div_mod(int,X2),X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2)))). 15.01/2.42 cnf(i_0_237, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),hAPP(nat,nat,minus_minus(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1361, 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,minus_minus(X1,X2),X3)),zero_zero(X1))))). 15.01/2.42 cnf(i_0_887, 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,minus_minus(X1,X2),X3)),zero_zero(X1))))). 15.01/2.42 cnf(i_0_126, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),hAPP(nat,int,power_power(int,X3),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 15.01/2.42 cnf(i_0_420, 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,plus_plus(X1,X2),X2)),zero_zero(X1))))). 15.01/2.42 cnf(i_0_955, 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,plus_plus(X1,X2),X2)),zero_zero(X1))))). 15.01/2.42 cnf(i_0_1097, 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,plus_plus(X1,X2),X2)),zero_zero(X1))))). 15.01/2.42 cnf(i_0_1537, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(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)))). 15.01/2.42 cnf(i_0_1622, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(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)))). 15.01/2.42 cnf(i_0_944, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,div_mod(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)))). 15.01/2.42 cnf(i_0_253, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(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)))). 15.01/2.42 cnf(i_0_260, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),hAPP(real,real,times_times(real,X1),X2)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X1)))). 15.01/2.42 cnf(i_0_150, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,plus_plus(X1,X3),X4)))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 15.01/2.42 cnf(i_0_813, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,div_mod(X1,X3),X4)))|~semiring_div(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 15.01/2.42 cnf(i_0_986, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,div_mod(X1,X3),X4)))|~semiring_div(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 15.01/2.42 cnf(i_0_564, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,minus_minus(X1,X3),X4)))|~comm_ring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 15.01/2.42 cnf(i_0_1614, plain, (hBOOL(hAPP(int,bool,zcong(X1,hAPP(int,int,times_times(int,X5),X3)),X4))|~hBOOL(hAPP(int,bool,zcong(X5,X2),X4))|~hBOOL(hAPP(int,bool,zcong(X1,hAPP(int,int,times_times(int,X2),X3)),X4)))). 15.01/2.42 cnf(i_0_1613, plain, (hBOOL(hAPP(int,bool,zcong(X1,hAPP(int,int,times_times(int,X5),X3)),X4))|~hBOOL(hAPP(int,bool,zcong(X2,X5),X4))|~hBOOL(hAPP(int,bool,zcong(X1,hAPP(int,int,times_times(int,X2),X3)),X4)))). 15.01/2.42 cnf(i_0_1437, plain, (hBOOL(hAPP(int,bool,zcong(X1,hAPP(int,int,times_times(int,X2),X5)),X4))|~hBOOL(hAPP(int,bool,zcong(X5,X3),X4))|~hBOOL(hAPP(int,bool,zcong(X1,hAPP(int,int,times_times(int,X2),X3)),X4)))). 15.01/2.42 cnf(i_0_1436, plain, (hBOOL(hAPP(int,bool,zcong(X1,hAPP(int,int,times_times(int,X2),X5)),X4))|~hBOOL(hAPP(int,bool,zcong(X3,X5),X4))|~hBOOL(hAPP(int,bool,zcong(X1,hAPP(int,int,times_times(int,X2),X3)),X4)))). 15.01/2.42 cnf(i_0_1608, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),hAPP(nat,X1,power_power(X1,X2),X3)))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))). 15.01/2.42 cnf(i_0_792, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),hAPP(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)))). 15.01/2.42 cnf(i_0_1141, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),hAPP(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)))). 15.01/2.42 cnf(i_0_640, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),hAPP(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)))). 15.01/2.42 cnf(i_0_1531, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),hAPP(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)))). 15.01/2.42 cnf(i_0_697, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),hAPP(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)))). 15.01/2.42 cnf(i_0_25, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,times_times(X1,X3),X2)))|~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))))). 15.01/2.42 cnf(i_0_305, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(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))))). 15.01/2.42 cnf(i_0_1562, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(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))))). 15.01/2.42 cnf(i_0_363, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(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))))). 15.01/2.42 cnf(i_0_1448, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),X3))|hAPP(int,int,plus_plus(int,X2),hAPP(int,int,times_times(int,X1),X3))!=ti(int,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)))). 15.01/2.42 cnf(i_0_1595, plain, (hAPP(nat,X1,power_power(X1,hAPP(nat,X1,power_power(X1,X2),X3)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))=hAPP(nat,X1,power_power(X1,X2),hAPP(nat,nat,times_times(nat,number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X3))|~monoid_mult(X1))). 15.01/2.42 cnf(i_0_304, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),one_one(int)))|hAPP(int,int,plus_plus(int,X2),hAPP(int,int,times_times(int,X1),X3))!=ti(int,X1)|~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),zero_zero(int)),X1)))). 15.01/2.42 cnf(i_0_306, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(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)))). 15.01/2.42 cnf(i_0_26, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(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)))). 15.01/2.42 cnf(i_0_1557, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(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)))). 15.01/2.42 cnf(i_0_286, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(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)))). 15.01/2.42 cnf(i_0_648, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(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)))). 15.01/2.42 cnf(i_0_1120, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(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(X1),zero_zero(X1)),X2)))). 15.01/2.42 cnf(i_0_933, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(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)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3)))). 15.01/2.42 cnf(i_0_1469, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(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)))). 15.01/2.42 cnf(i_0_374, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),hAPP(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)))). 15.01/2.42 cnf(i_0_145, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(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,plus_plus(nat,X2),X3))))). 15.01/2.42 cnf(i_0_800, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,plus_plus(nat,X1),X3)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,minus_minus(nat,X2),X3))))). 15.01/2.42 cnf(i_0_159, plain, (hAPP(int,int,minus_minus(int,X1),one_one(int))!=inv(X1,X2)|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),hAPP(int,int,minus_minus(int,X1),one_one(int)))))). 15.01/2.42 cnf(i_0_1002, plain, (ti(int,X1)=hAPP(int,int,minus_minus(int,X2),one_one(int))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,minus_minus(int,X2),one_one(int))))|~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)),X1)))). 15.01/2.42 cnf(i_0_529, plain, (X1=esk12_2(X3,X2)|hAPP(nat,real,power_power(real,X1),X2)!=X3|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X3))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X1)))). 15.01/2.42 cnf(i_0_953, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),X2)),hAPP(int,int,times_times(int,X1),X2))),X2)=hAPP(int,int,times_times(int,bit1(X1)),X2))). 15.01/2.42 cnf(i_0_572, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X3))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(int,int,times_times(int,X2),X3))))). 15.01/2.42 cnf(i_0_357, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),X1))|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(int),X3),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 15.01/2.42 cnf(i_0_212, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X3),X1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)))). 15.01/2.42 cnf(i_0_1641, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X3))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)))). 15.01/2.42 cnf(i_0_543, plain, (hBOOL(hAPP(int,bool,zcong(X1,X3),X2))|~hBOOL(hAPP(int,bool,zcong(hAPP(int,int,div_mod(int,X1),X2),hAPP(int,int,div_mod(int,X3),X2)),X2)))). 15.01/2.42 cnf(i_0_1720, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(int,int,div_mod(int,X2),X3))))). 15.01/2.42 cnf(i_0_108, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(int,int,minus_minus(int,X2),X3))))). 15.01/2.42 cnf(i_0_959, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),hAPP(nat,nat,plus_plus(nat,X2),X3))))). 15.01/2.42 cnf(i_0_908, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),hAPP(X1,X1,minus_minus(X1,X3),X4))),hAPP(X1,X1,times_times(X1,hAPP(X1,X1,minus_minus(X1,X2),X5)),X4))=hAPP(X1,X1,minus_minus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X5),X4))|~ring(X1))). 15.01/2.42 cnf(i_0_1447, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))|~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(int),zero_zero(int)),hAPP(int,int,times_times(int,X1),X2))))). 15.01/2.42 cnf(i_0_68, plain, (X2=one_one(nat)|~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),dvd_dvd(nat),hAPP(nat,nat,times_times(nat,X1),X2)),X1)))). 15.01/2.42 cnf(i_0_514, plain, (one_one(nat)=X1|~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),dvd_dvd(nat),hAPP(nat,nat,times_times(nat,X1),X2)),X2)))). 15.01/2.42 cnf(i_0_1086, plain, (ti(int,esk23_2(X3,X2))=ti(int,X1)|~hBOOL(hAPP(int,bool,zcong(X3,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),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))). 15.01/2.42 cnf(i_0_814, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3))|~semiring_div(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,div_mod(X1,X3),X4))))). 15.01/2.42 cnf(i_0_1493, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3))|~semiring_div(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,div_mod(X1,X3),X4))))). 15.01/2.42 cnf(i_0_144, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(nat,nat,plus_plus(nat,X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,minus_minus(nat,X1),X2)),X3)))). 15.01/2.42 cnf(i_0_801, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),hAPP(nat,nat,minus_minus(nat,X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,plus_plus(nat,X1),X2)),X3)))). 15.01/2.42 cnf(i_0_436, 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,times_times(X1,X2),X3))))). 15.01/2.42 cnf(i_0_1049, 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,times_times(X1,X2),X3))))). 15.01/2.42 cnf(i_0_748, plain, (ti(X1,X2)=ti(X1,X4)|hAPP(nat,X1,power_power(X1,X2),X3)!=hAPP(nat,X1,power_power(X1,X4),X3)|~linordered_semidom(X1)|~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))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))). 15.01/2.42 cnf(i_0_1151, plain, (ti(int,X1)=zero_zero(int)|ti(int,X1)=one_one(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))))). 15.01/2.42 cnf(i_0_1175, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),hAPP(int,int,minus_minus(int,X1),one_one(int))))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(fun(int,bool),bool,member(int,X3),wset(X2,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),hAPP(int,int,minus_minus(int,X1),one_one(int)))))). 15.01/2.42 cnf(i_0_151, plain, (hBOOL(hAPP(int,bool,zcong(X3,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X2),X3),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))). 15.01/2.42 cnf(i_0_1450, plain, (hBOOL(hAPP(int,bool,zcong(X3,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X2),X3),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))). 15.01/2.42 cnf(i_0_1652, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X2),inv(X1,X2)),one_one(int)),X1))|~hBOOL(hAPP(int,bool,zprime,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)),X2)))). 15.01/2.42 cnf(i_0_1731, plain, (hAPP(real,real,plus_plus(real,hAPP(nat,real,power_power(real,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,real,power_power(real,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))=zero_zero(real)|X2!=zero_zero(real)|zero_zero(real)!=X1)). 15.01/2.42 cnf(i_0_250, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(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)))). 15.01/2.42 cnf(i_0_645, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))=zero_zero(X1)|ti(X1,X3)!=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~linordered_idom(X1))). 15.01/2.42 cnf(i_0_248, plain, (hAPP(int,int,div_mod(int,X1),X2)=hAPP(int,int,plus_plus(int,X1),X2)|~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),hAPP(int,int,plus_plus(int,X1),X2)),zero_zero(int))))). 15.01/2.42 cnf(i_0_621, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(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))))). 15.01/2.42 cnf(i_0_1092, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(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(X1),X2),zero_zero(X1))))). 15.01/2.42 cnf(i_0_977, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(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),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),zero_zero(X1))))). 15.01/2.42 cnf(i_0_1109, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(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))))). 15.01/2.42 cnf(i_0_1672, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,times_times(X1,X3),X2)),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)))). 15.01/2.42 cnf(i_0_435, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(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)))). 15.01/2.42 cnf(i_0_1463, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(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)))). 15.01/2.42 cnf(i_0_1671, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(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)))). 15.01/2.42 cnf(i_0_1422, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(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)))). 15.01/2.42 cnf(i_0_1462, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(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)))). 15.01/2.42 cnf(i_0_975, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(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)))). 15.01/2.42 cnf(i_0_568, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(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)))). 15.01/2.42 cnf(i_0_1443, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(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)))). 15.01/2.42 cnf(i_0_233, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(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)))). 15.01/2.42 cnf(i_0_1604, plain, (ti(int,X1)=zero_zero(int)|ti(int,X2)=hAPP(int,int,div_mod(int,X3),X1)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1))|ti(int,X3)!=hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),X4)),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),X2),zero_zero(int))))). 15.01/2.42 cnf(i_0_211, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X3),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1640, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X3),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.42 cnf(i_0_1565, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(nat,int,power_power(int,X2),X3))))). 15.01/2.42 cnf(i_0_1179, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),inv(X1,X2)))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),hAPP(int,int,minus_minus(int,X1),one_one(int)))))). 15.01/2.42 cnf(i_0_932, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(int,int,plus_plus(int,X2),hAPP(int,int,times_times(int,X1),X3)))))). 15.01/2.42 cnf(i_0_283, 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,plus_plus(int,X1),X1)),hAPP(int,int,plus_plus(int,X2),X2))))). 15.01/2.42 cnf(i_0_1040, 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,plus_plus(int,X1),X1)),hAPP(int,int,plus_plus(int,X2),X2))))). 15.01/2.42 cnf(i_0_535, 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,plus_plus(int,X1),X1)),hAPP(int,int,plus_plus(int,X2),X2))))). 15.01/2.42 cnf(i_0_1721, 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,plus_plus(int,X1),X1)),hAPP(int,int,plus_plus(int,X2),X2))))). 15.01/2.42 cnf(i_0_1553, 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,plus_plus(nat,X1),X2)),hAPP(nat,nat,plus_plus(nat,X1),X3))))). 15.01/2.42 cnf(i_0_466, 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,plus_plus(nat,X1),X2)),hAPP(nat,nat,plus_plus(nat,X1),X3))))). 15.01/2.42 cnf(i_0_103, 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,times_times(nat,X3),X1)),hAPP(nat,nat,times_times(nat,X3),X2))))). 15.01/2.42 cnf(i_0_1198, 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,times_times(nat,X1),X3)),hAPP(nat,nat,times_times(nat,X2),X3))))). 15.01/2.42 cnf(i_0_91, plain, (X2=zero_zero(nat)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(nat,int,power_power(int,X1),X2)),hAPP(nat,int,power_power(int,X3),X2))))). 15.01/2.42 cnf(i_0_335, plain, (X2=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,power_power(nat,X1),X2)),hAPP(nat,nat,power_power(nat,X3),X2))))). 15.01/2.42 cnf(i_0_1516, plain, (X2=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,power_power(nat,X1),X2)),hAPP(nat,nat,power_power(nat,X3),X2))))). 15.01/2.42 cnf(i_0_993, plain, (zero_zero(nat)=X2|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(nat,int,power_power(int,X1),X2)),hAPP(nat,int,power_power(int,X3),X2))))). 15.01/2.42 cnf(i_0_1592, plain, (zero_zero(nat)=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,times_times(nat,X1),X2)),hAPP(nat,nat,times_times(nat,X3),X2))))). 15.01/2.42 cnf(i_0_916, plain, (zero_zero(nat)=X1|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,times_times(nat,X1),X2)),hAPP(nat,nat,times_times(nat,X1),X3))))). 15.01/2.42 cnf(i_0_1199, 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,times_times(nat,X2),X1)),hAPP(nat,nat,times_times(nat,X3),X1))))). 15.01/2.42 cnf(i_0_102, 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,times_times(nat,X1),X2)),hAPP(nat,nat,times_times(nat,X1),X3))))). 15.01/2.42 cnf(i_0_391, plain, (ti(int,X1)=zero_zero(int)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(int,int,times_times(int,X1),X2)),hAPP(int,int,times_times(int,X1),X3))))). 15.01/2.42 cnf(i_0_1430, plain, (ti(int,X1)=zero_zero(int)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(int,int,times_times(int,X1),X2)),hAPP(int,int,times_times(int,X1),X3))))). 15.01/2.42 cnf(i_0_1673, 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,times_times(X1,X3),X2)),zero_zero(X1))))). 15.01/2.42 cnf(i_0_1675, 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,times_times(X1,X3),X2)),zero_zero(X1))))). 15.01/2.42 cnf(i_0_1674, 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,times_times(X1,X2),X3)),zero_zero(X1))))). 15.01/2.42 cnf(i_0_1676, 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,times_times(X1,X2),X3)),zero_zero(X1))))). 15.01/2.42 cnf(i_0_1494, plain, (hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,plus_plus(int,X2),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,plus_plus(int,esk39_3(X1,X2,X3)),one_one(int)))))). 15.01/2.42 cnf(i_0_704, plain, (hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,minus_minus(int,X3),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,minus_minus(int,esk15_3(X1,X2,X3)),one_one(int)))))). 15.01/2.42 cnf(i_0_1433, 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,plus_plus(X1,X2),X3)),hAPP(X1,X1,plus_plus(X1,X2),X4))))). 15.01/2.42 cnf(i_0_1580, 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,plus_plus(X1,X2),X3)),hAPP(X1,X1,plus_plus(X1,X2),X4))))). 15.01/2.43 cnf(i_0_184, 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,plus_plus(X1,X2),X3)),hAPP(X1,X1,plus_plus(X1,X4),X3))))). 15.01/2.43 cnf(i_0_1119, 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,plus_plus(X1,X2),X3)),hAPP(X1,X1,plus_plus(X1,X4),X3))))). 15.01/2.43 cnf(i_0_109, 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,plus_plus(X1,X2),X3)),hAPP(X1,X1,plus_plus(X1,X2),X4))))). 15.01/2.43 cnf(i_0_499, 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,plus_plus(X1,X2),X3)),hAPP(X1,X1,plus_plus(X1,X2),X4))))). 15.01/2.43 cnf(i_0_632, 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,plus_plus(X1,X2),X3)),hAPP(X1,X1,plus_plus(X1,X4),X3))))). 15.01/2.43 cnf(i_0_1653, 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,plus_plus(X1,X2),X3)),hAPP(X1,X1,plus_plus(X1,X4),X3))))). 15.01/2.43 cnf(i_0_382, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X2)),hAPP(X1,X1,times_times(X1,X3),X3))))|~linordered_ring(X1))). 15.01/2.43 cnf(i_0_624, plain, (ti(X1,X3)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X4))|~idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X4),X3))))). 15.01/2.43 cnf(i_0_301, plain, (ti(X1,X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X3),X4))|~idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))))). 15.01/2.43 cnf(i_0_1354, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,minus_minus(X1,hAPP(X1,X1,div_mod(X1,X2),X4)),hAPP(X1,X1,div_mod(X1,X3),X4))),X4)=hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,minus_minus(X1,X2),X3)),X4)|~ring_div(X1))). 15.01/2.43 cnf(i_0_759, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,times_times(X1,hAPP(X1,X1,div_mod(X1,X2),X3)),hAPP(X1,X1,div_mod(X1,X4),X3))),X3)=hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,times_times(X1,X2),X4)),X3)|~semiring_div(X1))). 15.01/2.43 cnf(i_0_340, plain, (hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,div_mod(X1,X2),X3)),hAPP(X1,X1,div_mod(X1,X4),X3))),X3)=hAPP(X1,X1,div_mod(X1,hAPP(X1,X1,plus_plus(X1,X2),X4)),X3)|~semiring_div(X1))). 15.01/2.43 cnf(i_0_504, plain, (ti(X1,X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X2)),hAPP(X1,X1,times_times(X1,X3),X3))))|~linord581940658strict(X1))). 15.01/2.43 cnf(i_0_505, plain, (ti(X1,X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X3),X3)),hAPP(X1,X1,times_times(X1,X2),X2))))|~linord581940658strict(X1))). 15.01/2.43 cnf(i_0_851, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,plus_plus(nat,X2),X3)),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.43 cnf(i_0_943, plain, (hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X2)),X3)!=X4|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))). 15.01/2.43 cnf(i_0_254, plain, (ti(X1,X2)=ti(X1,X3)|hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))!=hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))|~linordered_semidom(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)))). 15.01/2.43 cnf(i_0_469, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,power_power(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),hAPP(nat,X1,power_power(X1,X2),X3))))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X2)))). 15.01/2.43 cnf(i_0_97, plain, (hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X3)),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X2),X3)),X4))=hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,hAPP(nat,nat,plus_plus(nat,X1),X2)),X3)),X4))). 15.01/2.43 cnf(i_0_901, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X3),X1))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X3))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)))). 15.01/2.43 cnf(i_0_89, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,X1),X3)),hAPP(int,int,plus_plus(int,X2),X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 15.01/2.43 cnf(i_0_690, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,times_times(nat,X1),X3)),hAPP(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)))). 15.01/2.43 cnf(i_0_1114, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,plus_plus(nat,X1),X3)),hAPP(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)))). 15.01/2.43 cnf(i_0_314, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,plus_plus(nat,X1),X3)),hAPP(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)))). 15.01/2.43 cnf(i_0_167, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,minus_minus(nat,X3),X2)),hAPP(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)))). 15.01/2.43 cnf(i_0_222, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,minus_minus(nat,X1),X3)),hAPP(nat,nat,minus_minus(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 15.01/2.43 cnf(i_0_389, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,X3),X1)),hAPP(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)))). 15.01/2.43 cnf(i_0_1358, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,times_times(nat,X3),X1)),hAPP(nat,nat,times_times(nat,X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))). 15.01/2.43 cnf(i_0_658, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,times_times(nat,X3),X1)),hAPP(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)))). 15.01/2.43 cnf(i_0_101, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,times_times(nat,X3),X1)),hAPP(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)))). 15.01/2.43 cnf(i_0_481, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,times_times(nat,X3),X1)),hAPP(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)))). 15.01/2.43 cnf(i_0_1271, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,times_times(nat,X3),X1)),hAPP(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)))). 15.01/2.43 cnf(i_0_1200, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,times_times(nat,X2),X1)),hAPP(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)))). 15.01/2.43 cnf(i_0_18, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,times_times(nat,X1),X3)),hAPP(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)))). 15.01/2.43 cnf(i_0_747, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),hAPP(real,real,times_times(real,X3),X1)),hAPP(real,real,times_times(real,X3),X2)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X3)))). 15.01/2.43 cnf(i_0_21, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),hAPP(real,real,times_times(real,X1),X3)),hAPP(real,real,times_times(real,X2),X3)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X3)))). 15.01/2.43 cnf(i_0_423, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),hAPP(real,real,times_times(real,X1),X3)),hAPP(real,real,times_times(real,X2),X3)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),X1),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X3)))). 15.01/2.43 cnf(i_0_1569, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),hAPP(real,real,times_times(real,X1),X2)),hAPP(real,real,times_times(real,X1),X3)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),X2),X3))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X1)))). 15.01/2.43 cnf(i_0_1605, plain, (ti(int,X2)=zero_zero(int)|ti(int,X1)=hAPP(int,int,div_mod(int,X3),X2)|ti(int,X3)!=hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X2),X4)),X1)|~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),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))). 15.01/2.43 cnf(i_0_507, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X4),X3)),X5))=hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,hAPP(X1,X1,plus_plus(X1,X2),X4)),X3)),X5)|~semiring(X1))). 15.01/2.43 cnf(i_0_23, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(nat,X1,power_power(X1,X2),X4)),hAPP(nat,X1,power_power(X1,X3),X5)))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),X5)))). 15.01/2.43 cnf(i_0_1453, plain, (hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less_eq(X3),hAPP(nat,X3,power_power(X3,X4),X1)),hAPP(nat,X3,power_power(X3,X4),X2)))|~linordered_semidom(X3)|~hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),one_one(X3)),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.43 cnf(i_0_1451, plain, (hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),hAPP(nat,X3,power_power(X3,X4),X1)),hAPP(nat,X3,power_power(X3,X4),X2)))|~linordered_semidom(X3)|~hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),one_one(X3)),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 15.01/2.43 cnf(i_0_1062, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(nat,X1,power_power(X1,X4),X2)),hAPP(nat,X1,power_power(X1,X4),X3)))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),one_one(X1)),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))). 15.01/2.43 cnf(i_0_287, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,power_power(X1,X4),X2)),hAPP(nat,X1,power_power(X1,X4),X3)))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3)))). 15.01/2.43 cnf(i_0_622, plain, (ti(int,X1)=ti(int,X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(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)))). 15.01/2.43 cnf(i_0_86, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(X1,X1,times_times(X1,X3),X5)))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X4),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 15.01/2.43 cnf(i_0_1213, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,plus_plus(X1,X2),X4)),hAPP(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)))). 15.01/2.43 cnf(i_0_337, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,plus_plus(X1,X2),X4)),hAPP(X1,X1,plus_plus(X1,X3),X5)))|~ordere223160158up_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(X1),X2),X3)))). 15.01/2.43 cnf(i_0_1725, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,plus_plus(X1,X2),X4)),hAPP(X1,X1,plus_plus(X1,X3),X5)))|~ordere223160158up_add(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),X5)))). 15.01/2.43 cnf(i_0_13, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,plus_plus(X1,X2),X4)),hAPP(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)))). 15.01/2.43 cnf(i_0_870, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,times_times(X1,X4),X3)),hAPP(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))))). 15.01/2.43 cnf(i_0_1446, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,times_times(X1,X4),X3)),hAPP(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))))). 15.01/2.43 cnf(i_0_190, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,times_times(X1,X3),X4)),hAPP(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))))). 15.01/2.43 cnf(i_0_259, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X4),X3)),hAPP(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))))). 15.01/2.43 cnf(i_0_267, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X4),X3)),hAPP(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))))). 15.01/2.43 cnf(i_0_14, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X3),X4)),hAPP(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))))). 15.01/2.43 cnf(i_0_769, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X3),X4)),hAPP(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))))). 15.01/2.43 cnf(i_0_856, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(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))))). 15.01/2.43 cnf(i_0_1036, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(nat,X1,power_power(X1,X2),X4)),hAPP(nat,X1,power_power(X1,X3),X4)))|~linordered_semidom(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)),X2)))). 15.01/2.43 cnf(i_0_1207, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,times_times(X1,X4),X2)),hAPP(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)))). 15.01/2.43 cnf(i_0_1276, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,times_times(X1,X4),X2)),hAPP(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)))). 15.01/2.43 cnf(i_0_482, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,times_times(X1,X4),X2)),hAPP(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)))). 15.01/2.43 cnf(i_0_950, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(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)))). 15.01/2.43 cnf(i_0_958, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X4),X2)),hAPP(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)))). 15.01/2.43 cnf(i_0_349, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X4),X2)),hAPP(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)))). 15.01/2.43 cnf(i_0_1561, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X4),X2)),hAPP(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)))). 15.01/2.43 cnf(i_0_768, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X3),X2)),hAPP(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)))). 15.01/2.43 cnf(i_0_1269, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(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)))). 15.01/2.43 cnf(i_0_857, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X2),X3)),hAPP(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)))). 15.01/2.43 cnf(i_0_1658, plain, (ti(X1,X6)=hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,hAPP(X1,X1,minus_minus(X1,X2),X5)),X3)),X4)|hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),X4)!=hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X5),X3)),X6)|~ring(X1))). 15.01/2.43 cnf(i_0_1292, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,hAPP(X1,X1,minus_minus(X1,X5),X2)),X3)),X6)=ti(X1,X4)|hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),X4)!=hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X5),X3)),X6)|~ring(X1))). 15.01/2.43 cnf(i_0_1372, plain, (hBOOL(hAPP(int,bool,X1,esk33_3(X2,X1,X3)))|hBOOL(hAPP(int,bool,X1,hAPP(int,int,plus_plus(int,X4),hAPP(int,int,times_times(int,X2),X3))))|~hBOOL(hAPP(int,bool,X1,X4))|~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),zero_zero(int)),X3)))). 15.01/2.43 cnf(i_0_1712, plain, (hBOOL(hAPP(int,bool,X1,esk43_3(X2,X1,X3)))|hBOOL(hAPP(int,bool,X1,hAPP(int,int,minus_minus(int,X4),hAPP(int,int,times_times(int,X2),X3))))|~hBOOL(hAPP(int,bool,X1,X4))|~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),zero_zero(int)),X3)))). 15.01/2.43 cnf(i_0_737, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),inv(X1,X2)),hAPP(int,int,minus_minus(int,X1),one_one(int))))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),hAPP(int,int,minus_minus(int,X1),one_one(int)))))). 15.01/2.43 cnf(i_0_395, plain, (ti(int,X2)=one_one(int)|hAPP(int,int,minus_minus(int,X1),one_one(int))=ti(int,X2)|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X1))|~hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X2),X2),one_one(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))). 15.01/2.43 cnf(i_0_1634, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(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,minus_minus(nat,X2),X3))))). 15.01/2.43 cnf(i_0_1130, plain, (hBOOL(hAPP(fun(int,bool),bool,member(int,X3),wset(X2,X1)))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),hAPP(int,int,minus_minus(int,X1),one_one(int)))))). 15.01/2.43 cnf(i_0_940, plain, (hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,X1),X2)),hAPP(int,int,minus_minus(int,X1),X2))=hAPP(int,int,minus_minus(int,hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,int,power_power(int,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))))). 15.01/2.43 cnf(i_0_80, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,power_power(nat,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,nat,power_power(nat,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))=hAPP(nat,nat,times_times(nat,hAPP(nat,nat,plus_plus(nat,X1),X2)),hAPP(nat,nat,minus_minus(nat,X1),X2)))). 15.01/2.43 cnf(i_0_902, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X3),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X3),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.43 cnf(i_0_104, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X3))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X1))|~hBOOL(hAPP(int,bool,zprime,X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),hAPP(int,int,times_times(int,X1),X3))))). 15.01/2.43 cnf(i_0_376, plain, (~hBOOL(hAPP(int,bool,zcong(one_one(int),number_number_of(int,min)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_1081, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(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),dvd_dvd(nat),X1),hAPP(nat,nat,minus_minus(nat,X2),X3))))). 15.01/2.43 cnf(i_0_53, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),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),dvd_dvd(nat),X1),hAPP(nat,nat,minus_minus(nat,X2),X3))))). 15.01/2.43 cnf(i_0_762, plain, (~hBOOL(hAPP(int,bool,zcong(X1,X3),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),X1),X2))|~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(int),zero_zero(int)),X1)))). 15.01/2.43 cnf(i_0_1284, plain, (hBOOL(hAPP(int,bool,zcong(X2,one_one(int)),X1))|hBOOL(hAPP(int,bool,zcong(X2,hAPP(int,int,minus_minus(int,X1),one_one(int))),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X2),X2),one_one(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2)))). 15.01/2.43 cnf(i_0_342, plain, (ti(int,X1)=ti(int,X3)|~hBOOL(hAPP(int,bool,zcong(X1,X3),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(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_eq(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))). 15.01/2.43 cnf(i_0_852, 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,times_times(X1,X4),X3)),hAPP(X1,X1,times_times(X1,X4),X2))))). 15.01/2.43 cnf(i_0_772, 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,times_times(X1,X2),X4)),hAPP(X1,X1,times_times(X1,X3),X4))))). 15.01/2.43 cnf(i_0_853, 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,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))))). 15.01/2.43 cnf(i_0_770, 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),X4),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(X1,X1,times_times(X1,X3),X4))))). 15.01/2.43 cnf(i_0_773, 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),zero_zero(X1)),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X4),X2)),hAPP(X1,X1,times_times(X1,X3),X2))))). 15.01/2.43 cnf(i_0_854, 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,times_times(X1,X4),X3)),hAPP(X1,X1,times_times(X1,X4),X2))))). 15.01/2.43 cnf(i_0_771, 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,times_times(X1,X3),X2)),hAPP(X1,X1,times_times(X1,X4),X2))))). 15.01/2.43 cnf(i_0_855, 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,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))))). 15.01/2.43 cnf(i_0_1633, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),hAPP(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,plus_plus(nat,X1),X2)),X3)))). 15.01/2.43 cnf(i_0_1345, plain, (hBOOL(hAPP(int,bool,zcong(multInv(X1,X2),multInv(X1,X3)),X1))|~hBOOL(hAPP(int,bool,zcong(X2,X3),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_139, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,X1),hAPP(nat,nat,times_times(nat,X2),X4)),one_one(int)),X3))|~hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,X1),X2),one_one(int)),X3)))). 15.01/2.43 cnf(i_0_906, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X1),hAPP(int,int,minus_minus(int,X2),one_one(int))),one_one(int)),X2))|~hBOOL(hAPP(int,bool,zcong(X1,hAPP(int,int,minus_minus(int,X2),one_one(int))),X2)))). 15.01/2.43 cnf(i_0_1055, plain, (ti(X1,X2)!=zero_zero(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))))). 15.01/2.43 cnf(i_0_1392, plain, (~hBOOL(hAPP(int,bool,zcong(X2,one_one(int)),X1))|~hBOOL(hAPP(int,bool,zcong(X2,number_number_of(int,min)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_377, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(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)))). 15.01/2.43 cnf(i_0_442, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(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)))). 15.01/2.43 cnf(i_0_444, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(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),dvd_dvd(nat),hAPP(nat,nat,times_times(nat,X1),X2)),hAPP(nat,nat,times_times(nat,X1),X3))))). 15.01/2.43 cnf(i_0_1357, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(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),dvd_dvd(nat),hAPP(nat,nat,times_times(nat,X1),X2)),hAPP(nat,nat,times_times(nat,X1),X3))))). 15.01/2.43 cnf(i_0_657, 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,times_times(nat,X1),X2)),hAPP(nat,nat,times_times(nat,X1),X3))))). 15.01/2.43 cnf(i_0_834, 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,times_times(nat,X1),X2)),hAPP(nat,nat,times_times(nat,X1),X3))))). 15.01/2.43 cnf(i_0_970, 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),one_one(nat)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),hAPP(nat,nat,power_power(nat,X1),X2)),hAPP(nat,nat,power_power(nat,X1),X3))))). 15.01/2.43 cnf(i_0_180, 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,times_times(nat,X1),X2)),hAPP(nat,nat,times_times(nat,X3),X2))))). 15.01/2.43 cnf(i_0_1270, 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,times_times(nat,X1),X2)),hAPP(nat,nat,times_times(nat,X1),X3))))). 15.01/2.43 cnf(i_0_1185, 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,power_power(nat,X1),X2)),hAPP(nat,nat,power_power(nat,X1),X3))))). 15.01/2.43 cnf(i_0_746, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X2),X3))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),hAPP(real,real,times_times(real,X1),X2)),hAPP(real,real,times_times(real,X1),X3))))). 15.01/2.43 cnf(i_0_22, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X3))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),hAPP(real,real,times_times(real,X1),X2)),hAPP(real,real,times_times(real,X3),X2))))). 15.01/2.43 cnf(i_0_424, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),X1),X3))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),hAPP(real,real,times_times(real,X1),X2)),hAPP(real,real,times_times(real,X3),X2))))). 15.01/2.43 cnf(i_0_930, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),one_one(real)),hAPP(nat,real,power_power(real,number_number_of(real,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1))))). 15.01/2.43 cnf(i_0_1735, plain, (hAPP(int,int,minus_minus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),number_number_of(int,min))=hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),one_one(int)))). 15.01/2.43 cnf(i_0_66, plain, (hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(multInv(X1,multInv(X1,X2)),X2),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_129, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(nat,X1,power_power(X1,X2),X3)),hAPP(nat,X1,power_power(X1,X2),X4))))). 15.01/2.43 cnf(i_0_1454, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(nat,X1,power_power(X1,X2),X3)),hAPP(nat,X1,power_power(X1,X2),X4))))). 15.01/2.43 cnf(i_0_187, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X4))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,power_power(X1,X2),X3)),hAPP(nat,X1,power_power(X1,X2),X4))))). 15.01/2.43 cnf(i_0_1452, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X4))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,power_power(X1,X2),X3)),hAPP(nat,X1,power_power(X1,X2),X4))))). 15.01/2.43 cnf(i_0_1659, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X3),X5)),X6)=hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X4),X5)),X2)|ti(X1,X2)!=hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,hAPP(X1,X1,minus_minus(X1,X3),X4)),X5)),X6)|~ring(X1))). 15.01/2.43 cnf(i_0_1293, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X4)),X5)=hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X3),X4)),X6)|hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,hAPP(X1,X1,minus_minus(X1,X2),X3)),X4)),X5)!=ti(X1,X6)|~ring(X1))). 15.01/2.43 cnf(i_0_34, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~linordered_semidom(X1)|~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(X1),hAPP(nat,X1,power_power(X1,X2),X3)),hAPP(nat,X1,power_power(X1,X4),X3))))). 15.01/2.43 cnf(i_0_869, 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,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))))). 15.01/2.43 cnf(i_0_266, 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,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))))). 15.01/2.43 cnf(i_0_1208, 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,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))))). 15.01/2.43 cnf(i_0_147, 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,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))))). 15.01/2.43 cnf(i_0_683, 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,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X4),X3))))). 15.01/2.43 cnf(i_0_957, 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,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))))). 15.01/2.43 cnf(i_0_1618, 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,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))))). 15.01/2.43 cnf(i_0_602, 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,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X2),X4))))). 15.01/2.43 cnf(i_0_659, 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,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X4),X3))))). 15.01/2.43 cnf(i_0_204, 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,times_times(X1,X2),X3)),hAPP(X1,X1,times_times(X1,X4),X3))))). 15.01/2.43 cnf(i_0_935, plain, (hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,zcong(multInv(X1,X2),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_1587, plain, (number_number_of(int,bit1(bit1(pls)))=ti(int,X1)|ti(int,X1)=number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),number_number_of(int,bit1(hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),X1))|~hBOOL(hAPP(int,bool,zprime,X1)))). 15.01/2.43 cnf(i_0_541, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,minus_minus(nat,X1),X3)),hAPP(nat,nat,minus_minus(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(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)))). 15.01/2.43 cnf(i_0_729, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,minus_minus(nat,X1),X3)),hAPP(nat,nat,minus_minus(nat,X2),X3)))|~hBOOL(hAPP(nat,bool,hAPP(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(nat),X1),X2)))). 15.01/2.43 cnf(i_0_193, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(nat,X1,power_power(X1,X2),X5)),X4))|~comm_semiring_1(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X5),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(nat,X1,power_power(X1,X2),X3)),X4)))). 15.01/2.43 cnf(i_0_359, plain, (X5=hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,hAPP(nat,nat,minus_minus(nat,X1),X4)),X2)),X3)|hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X2)),X3)!=hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X4),X2)),X5)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),X1)))). 15.01/2.43 cnf(i_0_258, plain, (hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,hAPP(nat,nat,minus_minus(nat,X4),X1)),X2)),X5)=X3|hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X2)),X3)!=hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X4),X2)),X5)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X4)))). 15.01/2.43 cnf(i_0_1603, plain, (ti(int,X2)=zero_zero(int)|ti(int,X1)=hAPP(int,int,div_mod(int,X3),X2)|ti(int,X3)!=hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X2),X4)),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),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))). 15.01/2.43 cnf(i_0_60, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(nat,X1,power_power(X1,X4),X3)),hAPP(nat,X1,power_power(X1,X4),X2)))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),one_one(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))). 15.01/2.43 cnf(i_0_815, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,power_power(X1,X4),X3)),hAPP(nat,X1,power_power(X1,X4),X2)))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),one_one(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3)))). 15.01/2.43 cnf(i_0_753, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,power_power(X1,X2),X4)),hAPP(nat,X1,power_power(X1,X3),X4)))|~linordered_semidom(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),zero_zero(X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X4)))). 15.01/2.43 cnf(i_0_1215, plain, (hBOOL(hAPP(int,bool,X5,X2))|ti(int,X3)!=hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),X4)),X2)|~hBOOL(hAPP(int,bool,X5,hAPP(int,int,div_mod(int,X3),X1)))|~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),X2),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),zero_zero(int))))). 15.01/2.43 cnf(i_0_1214, plain, (hBOOL(hAPP(int,bool,X5,X2))|hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),X3)),X2)!=ti(int,X4)|~hBOOL(hAPP(int,bool,X5,hAPP(int,int,div_mod(int,X4),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_eq(int),zero_zero(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))). 15.01/2.43 cnf(i_0_939, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,esk18_2(X1,X2)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X2),X1))|~hBOOL(hAPP(int,bool,quadRes(X1),X2)))). 15.01/2.43 cnf(i_0_1295, plain, (hBOOL(hAPP(int,bool,zcong(X2,X3),X1))|hBOOL(hAPP(int,bool,zcong(X3,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,zcong(multInv(X1,X2),multInv(X1,X3)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_1371, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,plus_plus(int,X4),hAPP(int,int,times_times(int,X2),X3))))|~hBOOL(hAPP(int,bool,X1,X4))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,plus_plus(int,esk33_3(X2,X1,X3)),X3)))|~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),zero_zero(int)),X3)))). 15.01/2.43 cnf(i_0_1711, plain, (hBOOL(hAPP(int,bool,X1,hAPP(int,int,minus_minus(int,X4),hAPP(int,int,times_times(int,X2),X3))))|~hBOOL(hAPP(int,bool,X1,X4))|~hBOOL(hAPP(int,bool,X1,hAPP(int,int,minus_minus(int,esk43_3(X2,X1,X3)),X3)))|~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),zero_zero(int)),X3)))). 15.01/2.43 cnf(i_0_39, plain, (ti(int,X1)=ti(int,X2)|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~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(int),zero_zero(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))). 15.01/2.43 cnf(i_0_1034, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(nat,int,power_power(int,X1),X3)),X4))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(nat,int,power_power(int,X1),X3)),hAPP(int,int,times_times(int,X4),X2))))). 15.01/2.43 cnf(i_0_850, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(nat,int,power_power(int,X1),X3)),X4))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(nat,int,power_power(int,X1),X3)),hAPP(int,int,times_times(int,X2),X4))))). 15.01/2.43 cnf(i_0_1732, plain, (X1=zero_zero(real)|hAPP(real,real,plus_plus(real,hAPP(nat,real,power_power(real,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,real,power_power(real,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))!=zero_zero(real))). 15.01/2.43 cnf(i_0_1733, plain, (zero_zero(real)=X1|hAPP(real,real,plus_plus(real,hAPP(nat,real,power_power(real,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,real,power_power(real,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))!=zero_zero(real))). 15.01/2.43 cnf(i_0_646, plain, (ti(X1,X2)=zero_zero(X1)|hAPP(X1,X1,plus_plus(X1,hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))!=zero_zero(X1)|~linordered_idom(X1))). 15.01/2.43 cnf(i_0_647, plain, (ti(X1,X2)=zero_zero(X1)|hAPP(X1,X1,plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))!=zero_zero(X1)|~linordered_idom(X1))). 15.01/2.43 cnf(i_0_905, plain, (hBOOL(hAPP(int,bool,zcong(X1,hAPP(int,int,minus_minus(int,X2),one_one(int))),X2))|~hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X1),hAPP(int,int,minus_minus(int,X2),one_one(int))),one_one(int)),X2)))). 15.01/2.43 cnf(i_0_330, plain, (hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X2),multInv(X1,X2)),one_one(int)),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_358, plain, (hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X2),X4)),X5)=hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X3),X4)),X1)|X1!=hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,hAPP(nat,nat,minus_minus(nat,X2),X3)),X4)),X5)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)))). 15.01/2.43 cnf(i_0_257, plain, (hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X3)),X4)=hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X2),X3)),X5)|hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,hAPP(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)))). 15.01/2.43 cnf(i_0_168, plain, (hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,multInv(X1,X2)),X2),one_one(int)),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_540, 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,minus_minus(nat,X1),X2)),hAPP(nat,nat,minus_minus(nat,X3),X2))))). 15.01/2.43 cnf(i_0_730, 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,minus_minus(nat,X1),X2)),hAPP(nat,nat,minus_minus(nat,X3),X2))))). 15.01/2.43 cnf(i_0_1019, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X2),hAPP(nat,X1,power_power(X1,X2),X3))),hAPP(nat,X1,power_power(X1,X2),X3)))|~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),one_one(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))). 15.01/2.43 cnf(i_0_593, plain, (ti(fun(int,bool),combs(int,bool,bool,combb(bool,fun(bool,bool),int,fconj,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int))),combc(int,int,bool,ord_less(int),X1)))=sr(X1))). 15.01/2.43 cnf(i_0_506, plain, (ti(X1,X2)!=zero_zero(X1)|ti(X1,X3)!=zero_zero(X1)|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X2)),hAPP(X1,X1,times_times(X1,X3),X3)))))). 15.01/2.43 cnf(i_0_1165, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(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))))). 15.01/2.43 cnf(i_0_356, plain, (hAPP(nat,int,power_power(int,hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))=hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))))). 15.01/2.43 cnf(i_0_290, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(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)))). 15.01/2.43 cnf(i_0_1187, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(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)))). 15.01/2.43 cnf(i_0_1154, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(X1,X1,times_times(X1,X3),X5)))|~linord20386208strict(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(X1),X2),X3))|~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),zero_zero(X1)),X4)))). 15.01/2.43 cnf(i_0_447, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(X1,X1,times_times(X1,X3),X5)))|~linord20386208strict(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),X5))|~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(X1),zero_zero(X1)),X2)))). 15.01/2.43 cnf(i_0_1376, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(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)))). 15.01/2.43 cnf(i_0_1508, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(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(X1),zero_zero(X1)),X3)))). 15.01/2.43 cnf(i_0_1317, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X4),multInv(X1,X2)),hAPP(int,int,times_times(int,X4),multInv(X1,X3))),X1))|~hBOOL(hAPP(int,bool,zcong(X2,X3),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_1577, plain, (hBOOL(hAPP(int,bool,quadRes(X1),X2))|hBOOL(hAPP(int,bool,zcong(X3,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,zcong(X3,hAPP(int,int,times_times(int,X2),multInv(X1,X3))),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_1327, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk30_3(X1,X2,X3)),esk31_3(X1,X2,X3)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,X3,X1)),X2)),hAPP(nat,nat,X3,hAPP(nat,nat,plus_plus(nat,X1),X2)))))). 15.01/2.43 cnf(i_0_711, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X2)),hAPP(X1,X1,times_times(X1,X3),X3))),zero_zero(X1)))|ti(X1,X3)!=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~linord581940658strict(X1))). 15.01/2.43 cnf(i_0_945, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),hAPP(int,int,div_mod(int,number_number_of(int,X2)),number_number_of(int,X1)))),one_one(int))=hAPP(int,int,div_mod(int,number_number_of(int,bit1(X2))),number_number_of(int,hAPP(int,int,plus_plus(int,X1),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),number_number_of(int,X1))))). 15.01/2.43 cnf(i_0_596, 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,plus_plus(int,hAPP(int,int,times_times(int,X1),X2)),X3))))). 15.01/2.43 cnf(i_0_987, plain, (twoSqu1929807760sum2sq(product_Pair(int,int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),X2)),hAPP(int,int,times_times(int,X3),X4)),hAPP(int,int,minus_minus(int,hAPP(int,int,times_times(int,X1),X4)),hAPP(int,int,times_times(int,X3),X2))))=hAPP(int,int,times_times(int,twoSqu1929807760sum2sq(product_Pair(int,int,X1,X3))),twoSqu1929807760sum2sq(product_Pair(int,int,X2,X4))))). 15.01/2.43 cnf(i_0_1560, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X1),X4),hAPP(int,int,times_times(int,hAPP(int,int,times_times(int,X2),multInv(X3,X4))),X4)),X3))|~hBOOL(hAPP(int,bool,zcong(X1,hAPP(int,int,times_times(int,X2),multInv(X3,X4))),X3)))). 15.01/2.43 cnf(i_0_942, plain, (hAPP(nat,int,power_power(int,number_number_of(int,min)),X2)=hAPP(nat,int,power_power(int,number_number_of(int,min)),X3)|~hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,number_number_of(int,min)),X2),hAPP(nat,int,power_power(int,number_number_of(int,min)),X3)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_1419, plain, (hBOOL(hAPP(int,bool,zcong(X3,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(X2,hAPP(int,int,times_times(int,X4),multInv(X1,X3))),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,zcong(X3,hAPP(int,int,times_times(int,X4),multInv(X1,X2))),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_938, plain, (hBOOL(hAPP(int,bool,quadRes(X3),X2))|~hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X2),X3)))). 15.01/2.43 cnf(i_0_238, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,hAPP(int,int,times_times(int,multInv(X4,X1)),X1)),X2),hAPP(int,int,times_times(int,multInv(X4,X1)),X3)),X4))|~hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X1),X2),X3),X4)))). 15.01/2.43 cnf(i_0_883, plain, (~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),zero_zero(X1))))). 15.01/2.43 cnf(i_0_561, plain, (hBOOL(hAPP(int,bool,zcong(X4,X3),X1))|hBOOL(hAPP(int,bool,zcong(X4,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(X3,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X2),multInv(X1,X4)),hAPP(int,int,times_times(int,X2),multInv(X1,X3))),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_1164, 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,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),X1)),X1)),zero_zero(int))))). 15.01/2.43 cnf(i_0_161, plain, (hBOOL(hAPP(int,bool,zcong(X1,zero_zero(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X3))|~hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1),X2)))). 15.01/2.43 cnf(i_0_757, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X2),hAPP(int,int,times_times(int,X4),X5))),X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X5))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(int,int,plus_plus(int,X2),X3))))). 15.01/2.43 cnf(i_0_1285, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X3)),X4)),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X2),X3)),X5))=hAPP(nat,nat,minus_minus(nat,X4),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,hAPP(nat,nat,minus_minus(nat,X2),X1)),X3)),X5))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 15.01/2.43 cnf(i_0_1189, plain, (inv(X1,inv(X1,X2))=ti(int,X2)|~hBOOL(hAPP(int,bool,zprime,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)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),number_number_of(int,bit1(hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),X1)))). 15.01/2.43 cnf(i_0_765, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,minus_minus(X1,X3),hAPP(X1,X1,times_times(X1,X5),X6))),X4)))|~dvd(X1)|~comm_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,plus_plus(X1,X3),X4))))). 15.01/2.43 cnf(i_0_56, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,minus_minus(X1,X3),hAPP(X1,X1,times_times(X1,X4),X5))),X6)))|~dvd(X1)|~comm_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,plus_plus(X1,X3),X6))))). 15.01/2.43 cnf(i_0_1048, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X3),hAPP(int,int,div_mod(int,X4),X1))),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~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),zero_zero(int)),X1)))). 15.01/2.43 cnf(i_0_808, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(nat,X1,power_power(X1,X2),hAPP(nat,nat,times_times(nat,number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X3))))|~linordered_idom(X1))). 15.01/2.43 cnf(i_0_980, plain, (hBOOL(hAPP(fun(int,bool),bool,member(int,inv(X1,X3)),wset(X2,X1)))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(fun(int,bool),bool,member(int,X3),wset(X2,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),hAPP(int,int,minus_minus(int,X1),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),number_number_of(int,bit1(hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),X1)))). 15.01/2.43 cnf(i_0_191, plain, (hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,hAPP(int,int,times_times(int,X2),multInv(X1,X2))),multInv(X1,multInv(X1,X2))),X2),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_1326, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,X1,X2)),X3)),hAPP(nat,nat,X1,hAPP(nat,nat,plus_plus(nat,X2),X3))))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,X1,esk30_3(X2,X3,X1))),hAPP(nat,nat,X1,esk31_3(X2,X3,X1)))))). 15.01/2.43 cnf(i_0_264, plain, (hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(multInv(X1,multInv(X1,X2)),hAPP(int,int,times_times(int,hAPP(int,int,times_times(int,X2),multInv(X1,X2))),multInv(X1,multInv(X1,X2)))),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_460, plain, (X1=X2|zero_zero(nat)=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,times_times(nat,number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 15.01/2.43 cnf(i_0_1204, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,times_times(int,X2),X1)),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X2),hAPP(int,int,div_mod(int,X4),X1))),X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))). 15.01/2.43 cnf(i_0_885, 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_eq(int),zero_zero(int)),X3))|~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(int),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),X2)),X3)),zero_zero(int))))). 15.01/2.43 cnf(i_0_946, plain, (hAPP(int,int,div_mod(int,number_number_of(int,bit1(X2))),number_number_of(int,hAPP(int,int,plus_plus(int,X1),X1)))=hAPP(int,int,minus_minus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),hAPP(int,int,div_mod(int,hAPP(int,int,plus_plus(int,number_number_of(int,X2)),one_one(int))),number_number_of(int,X1)))),one_one(int))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),number_number_of(int,X1))))). 15.01/2.43 cnf(i_0_784, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X5),X2))|hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),X2)),X3)!=hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X4),X5)),X6)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X4))|~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)),X6))|~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,plus_plus(int,hAPP(int,int,times_times(int,X1),X2)),X3))))). 15.01/2.43 cnf(i_0_1409, plain, (~linordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X2)),hAPP(X1,X1,times_times(X1,X3),X3))),zero_zero(X1))))). 15.01/2.43 cnf(i_0_709, plain, (ti(X1,X2)=zero_zero(X1)|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X3),X3)),hAPP(X1,X1,times_times(X1,X2),X2))),zero_zero(X1))))). 15.01/2.43 cnf(i_0_710, plain, (ti(X1,X2)=zero_zero(X1)|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X2)),hAPP(X1,X1,times_times(X1,X3),X3))),zero_zero(X1))))). 15.01/2.43 cnf(i_0_1047, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,hAPP(int,int,div_mod(int,X2),X1)),hAPP(int,int,div_mod(int,X3),X1)),hAPP(int,int,times_times(int,X2),X3)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)))). 15.01/2.43 cnf(i_0_634, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X5),X2)),hAPP(X1,X1,times_times(X1,X6),X4))),X3))|hAPP(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)))). 15.01/2.43 cnf(i_0_1030, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X5),X2)),hAPP(X1,X1,times_times(X1,X6),X4))),X3))|hAPP(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)))). 15.01/2.43 cnf(i_0_758, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(int,int,plus_plus(int,X2),X5)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X2),hAPP(int,int,times_times(int,X3),X4))),X5))))). 15.01/2.43 cnf(i_0_15, plain, (hBOOL(hAPP(fun(int,bool),bool,member(int,X3),wset(X2,X1)))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(fun(int,bool),bool,member(int,inv(X1,X3)),wset(X2,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),hAPP(int,int,minus_minus(int,X1),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),hAPP(int,int,minus_minus(int,X1),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),number_number_of(int,bit1(hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),X1)))). 15.01/2.43 cnf(i_0_333, plain, (hAPP(real,real,times_times(real,number_number_of(real,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,real,power_power(real,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))=hAPP(nat,real,power_power(real,hAPP(real,real,times_times(real,number_number_of(real,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))). 15.01/2.43 cnf(i_0_766, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,plus_plus(X1,X3),X6)))|~dvd(X1)|~comm_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,minus_minus(X1,X3),hAPP(X1,X1,times_times(X1,X4),X5))),X6))))). 15.01/2.43 cnf(i_0_55, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,plus_plus(X1,X3),X4)))|~dvd(X1)|~comm_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,minus_minus(X1,X3),hAPP(X1,X1,times_times(X1,X5),X6))),X4))))). 15.01/2.43 cnf(i_0_464, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linordered_semidom(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),hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))))). 15.01/2.43 cnf(i_0_783, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linordered_semidom(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(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))))). 15.01/2.43 cnf(i_0_623, plain, (hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X2),X3)),X4)),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X3)),X5))=hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,hAPP(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)))). 15.01/2.43 cnf(i_0_331, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X5))|hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),X2)),X3)!=hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X4),X5)),X6)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X4))|~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),zero_zero(int)),X3))|~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(int),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),X2)),X3)),zero_zero(int))))). 15.01/2.43 cnf(i_0_1116, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X3),hAPP(nat,nat,div_mod(nat,X4),X1))),X2)),hAPP(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)))). 15.01/2.43 cnf(i_0_371, plain, (hAPP(int,int,div_mod(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X2))),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1))=hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),hAPP(int,int,div_mod(int,X2),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1)))). 15.01/2.43 cnf(i_0_1152, plain, (hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X3),X2),X4),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1))|~hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,X3),X2),hAPP(int,int,times_times(int,hAPP(int,int,times_times(int,X4),multInv(X1,X2))),X2)),X1)))). 15.01/2.43 cnf(i_0_1645, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(X1,X1,plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))))|~linordered_idom(X1))). 15.01/2.43 cnf(i_0_560, plain, (ti(X1,X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,plus_plus(X1,hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))))|~linordered_idom(X1))). 15.01/2.43 cnf(i_0_559, plain, (ti(X1,X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))))|~linordered_idom(X1))). 15.01/2.43 cnf(i_0_1455, 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,plus_plus(int,hAPP(int,int,times_times(int,X1),X2)),X3)),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),X4)),X5))))). 15.01/2.43 cnf(i_0_799, 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,plus_plus(int,hAPP(int,int,times_times(int,X1),X2)),X3)),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),X4)),X5))))). 15.01/2.43 cnf(i_0_715, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X2),hAPP(int,int,div_mod(int,X4),X1))),X3)),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),zero_zero(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),X1)))). 15.01/2.43 cnf(i_0_62, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,hAPP(int,int,minus_minus(int,X1),hAPP(int,int,times_times(int,X2),X3))),X4)),hAPP(int,int,times_times(int,hAPP(int,int,minus_minus(int,X5),hAPP(int,int,times_times(int,X2),X6))),X7))=hAPP(int,int,minus_minus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X1),X4)),hAPP(int,int,times_times(int,X5),X7))),hAPP(int,int,times_times(int,X2),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X3),X4)),hAPP(int,int,times_times(int,X6),X7)))))). 15.01/2.43 cnf(i_0_744, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,X3),hAPP(int,int,div_mod(int,X4),X1))),X2)),hAPP(int,int,times_times(int,X3),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~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),zero_zero(int)),X1)))). 15.01/2.43 cnf(i_0_1194, plain, (hBOOL(hAPP(int,bool,zcong(X2,zero_zero(int)),X1))|hBOOL(hAPP(int,bool,zcong(X3,hAPP(int,int,times_times(int,X4),multInv(X1,X2))),X1))|~hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1))|~hBOOL(hAPP(int,bool,zcong(hAPP(int,int,times_times(int,hAPP(int,int,times_times(int,multInv(X1,X2)),X2)),X3),hAPP(int,int,times_times(int,multInv(X1,X2)),X4)),X1)))). 15.01/2.43 cnf(i_0_174, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,hAPP(X1,X1,minus_minus(X1,X2),X3)),hAPP(X1,X1,minus_minus(X1,X4),X5))),hAPP(X1,X1,times_times(X1,hAPP(X1,X1,minus_minus(X1,X2),X3)),X5))),hAPP(X1,X1,times_times(X1,X3),hAPP(X1,X1,minus_minus(X1,X4),X5)))=hAPP(X1,X1,minus_minus(X1,hAPP(X1,X1,times_times(X1,X2),X4)),hAPP(X1,X1,times_times(X1,X3),X5))|~real_normed_algebra(X1))). 15.01/2.43 cnf(i_0_1438, plain, (hAPP(int,int,div_mod(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X2))),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1))=hAPP(int,int,minus_minus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),hAPP(int,int,div_mod(int,hAPP(int,int,plus_plus(int,X2),one_one(int))),X1))),one_one(int))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),zero_zero(int))))). 15.01/2.43 cnf(i_0_1346, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,hAPP(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,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),X4)),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X5),X3)),X6))))). 15.01/2.43 cnf(i_0_516, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,hAPP(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,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),X4)),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X5),X3)),X6))))). 15.01/2.43 cnf(i_0_1003, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,hAPP(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,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X2)),X3)),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X4),X2)),X5))))). 15.01/2.43 cnf(i_0_1503, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,hAPP(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,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X2)),X3)),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X4),X2)),X5))))). 15.01/2.43 cnf(i_0_1347, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X4),X5)),X2)),hAPP(X1,X1,plus_plus(X1,hAPP(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,plus_plus(X1,hAPP(X1,X1,times_times(X1,hAPP(X1,X1,minus_minus(X1,X3),X4)),X5)),X6))))). 15.01/2.43 cnf(i_0_517, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X4),X5)),X2)),hAPP(X1,X1,plus_plus(X1,hAPP(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,plus_plus(X1,hAPP(X1,X1,times_times(X1,hAPP(X1,X1,minus_minus(X1,X3),X4)),X5)),X6))))). 15.01/2.43 cnf(i_0_558, plain, (ti(X1,X3)!=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(X1,X1,plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))))))). 15.01/2.43 cnf(i_0_1004, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X3),X4)),X1)),hAPP(nat,nat,plus_plus(nat,hAPP(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,plus_plus(nat,hAPP(nat,nat,times_times(nat,hAPP(nat,nat,minus_minus(nat,X2),X3)),X4)),X5))))). 15.01/2.43 cnf(i_0_1504, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X3),X4)),X1)),hAPP(nat,nat,plus_plus(nat,hAPP(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,plus_plus(nat,hAPP(nat,nat,times_times(nat,hAPP(nat,nat,minus_minus(nat,X2),X3)),X4)),X5))))). 15.01/2.43 cnf(i_0_844, plain, (hAPP(real,real,plus_plus(real,hAPP(real,real,plus_plus(real,hAPP(nat,real,power_power(real,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,real,power_power(real,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))),hAPP(real,real,times_times(real,hAPP(real,real,times_times(real,number_number_of(real,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)),X2))=hAPP(nat,real,power_power(real,hAPP(real,real,plus_plus(real,X1),X2)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))). 15.01/2.43 cnf(i_0_24, plain, (hAPP(X1,X1,minus_minus(X1,hAPP(X1,X1,plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))),hAPP(X1,X1,times_times(X1,hAPP(X1,X1,times_times(X1,number_number_of(X1,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X2)),X3))=hAPP(nat,X1,power_power(X1,hAPP(X1,X1,minus_minus(X1,X2),X3)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))|~number_ring(X1))). 15.01/2.43 cnf(i_0_1188, plain, (hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))),hAPP(X1,X1,times_times(X1,hAPP(X1,X1,times_times(X1,number_number_of(X1,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X2)),X3))=hAPP(nat,X1,power_power(X1,hAPP(X1,X1,plus_plus(X1,X2),X3)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))|~number_semiring(X1))). 15.01/2.43 cnf(i_0_1513, plain, (ti(X1,X2)=zero_zero(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(nat,X1,power_power(X1,X2),hAPP(nat,nat,times_times(nat,number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X3))),zero_zero(X1))))). 15.01/2.43 cnf(i_0_1591, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))),zero_zero(X1)))|ti(X1,X3)!=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~linordered_idom(X1))). 15.01/2.43 cnf(i_0_355, plain, (hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,esk7_0),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,int,power_power(int,esk8_0),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))=hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))|one_one(int)!=t)). 15.01/2.43 cnf(i_0_1456, plain, (hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,esk35_0),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,int,power_power(int,esk36_0),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))=hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t)))). 15.01/2.43 cnf(i_0_805, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,hAPP(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,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),X4)),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X5),X3)),X6))))). 15.01/2.43 cnf(i_0_538, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,hAPP(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,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X3)),X4)),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X5),X3)),X6))))). 15.01/2.43 cnf(i_0_875, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,hAPP(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,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X2)),X3)),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X4),X2)),X5))))). 15.01/2.43 cnf(i_0_1290, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,hAPP(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,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X2)),X3)),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X4),X2)),X5))))). 15.01/2.43 cnf(i_0_804, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X4)),X5)),hAPP(X1,X1,plus_plus(X1,hAPP(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,plus_plus(X1,hAPP(X1,X1,times_times(X1,hAPP(X1,X1,minus_minus(X1,X2),X3)),X4)),X5)),X6)))). 15.01/2.43 cnf(i_0_537, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,plus_plus(X1,hAPP(X1,X1,times_times(X1,X2),X4)),X5)),hAPP(X1,X1,plus_plus(X1,hAPP(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,plus_plus(X1,hAPP(X1,X1,times_times(X1,hAPP(X1,X1,minus_minus(X1,X2),X3)),X4)),X5)),X6)))). 15.01/2.43 cnf(i_0_874, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X3)),X4)),hAPP(nat,nat,plus_plus(nat,hAPP(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,plus_plus(nat,hAPP(nat,nat,times_times(nat,hAPP(nat,nat,minus_minus(nat,X1),X2)),X3)),X4)),X5)))). 15.01/2.43 cnf(i_0_1291, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,X1),X3)),X4)),hAPP(nat,nat,plus_plus(nat,hAPP(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,plus_plus(nat,hAPP(nat,nat,times_times(nat,hAPP(nat,nat,minus_minus(nat,X1),X2)),X3)),X4)),X5)))). 15.01/2.43 cnf(i_0_571, plain, (~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(X1,X1,plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))),zero_zero(X1))))). 15.01/2.43 cnf(i_0_1589, plain, (ti(X1,X2)=zero_zero(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,plus_plus(X1,hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))),zero_zero(X1))))). 15.01/2.43 cnf(i_0_1590, plain, (ti(X1,X2)=zero_zero(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(X1,X1,plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,X1,power_power(X1,X3),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))),zero_zero(X1))))). 15.01/2.43 cnf(i_0_1124, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(int,int,times_times(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)),X2))),hAPP(nat,int,power_power(int,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))=hAPP(nat,int,power_power(int,hAPP(int,int,plus_plus(int,X1),X2)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))). 15.01/2.43 cnf(i_0_502, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,minus_minus(int,hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(int,int,times_times(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),X1)),X2))),hAPP(nat,int,power_power(int,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))=hAPP(nat,int,power_power(int,hAPP(int,int,minus_minus(int,X1),X2)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))). 15.01/2.43 cnf(i_0_1050, negated_conjecture, (hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,int,power_power(int,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))!=hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))). 15.01/2.43 cnf(i_0_228, plain, (legendre(number_number_of(int,min),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))=one_one(int))). 15.01/2.43 cnf(i_0_202, plain, (hBOOL(hAPP(int,bool,zprime,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))))). 15.01/2.43 cnf(i_0_1488, plain, (hBOOL(hAPP(int,bool,zcong(s1,s),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))))). 15.01/2.43 cnf(i_0_401, plain, (hBOOL(hAPP(int,bool,zcong(s1,esk9_0),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))))). 15.01/2.43 cnf(i_0_1064, plain, (hBOOL(hAPP(int,bool,zcong(s1,esk21_0),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))))). 15.01/2.43 cnf(i_0_235, plain, (hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),t)=twoSqu1929807760sum2sq(product_Pair(int,int,s,one_one(int))))). 15.01/2.43 cnf(i_0_1487, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),s),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))))). 15.01/2.43 cnf(i_0_888, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),t),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))))). 15.01/2.43 cnf(i_0_402, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk9_0),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))))). 15.01/2.43 cnf(i_0_1065, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk21_0),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))))). 15.01/2.43 cnf(i_0_1057, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))))). 15.01/2.43 cnf(i_0_1177, plain, (hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),t)=hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),one_one(int)))). 15.01/2.43 cnf(i_0_721, plain, (hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),esk16_0)=hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),one_one(int)))). 15.01/2.43 cnf(i_0_829, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),number_number_of(int,min)),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))))). 15.01/2.43 cnf(i_0_1428, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,s1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),number_number_of(int,min)),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))))). 15.01/2.43 cnf(i_0_1338, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,esk32_0),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),number_number_of(int,min)),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))))). 15.01/2.43 cnf(i_0_925, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),hAPP(nat,int,power_power(int,s1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))))). 15.01/2.43 cnf(i_0_483, plain, (hAPP(int,int,minus_minus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,minus_minus(int,hAPP(nat,int,power_power(int,X1),number_number_of(nat,bit1(bit1(pls))))),hAPP(int,int,times_times(int,hAPP(int,int,times_times(int,number_number_of(int,bit1(bit1(pls)))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))),X2))),hAPP(int,int,times_times(int,hAPP(int,int,times_times(int,number_number_of(int,bit1(bit1(pls)))),X1)),hAPP(nat,int,power_power(int,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))))),hAPP(nat,int,power_power(int,X2),number_number_of(nat,bit1(bit1(pls)))))=hAPP(nat,int,power_power(int,hAPP(int,int,minus_minus(int,X1),X2)),number_number_of(nat,bit1(bit1(pls)))))). 15.01/2.43 cnf(i_0_289, plain, (hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X1),number_number_of(nat,bit1(bit1(pls))))),hAPP(int,int,times_times(int,hAPP(int,int,times_times(int,number_number_of(int,bit1(bit1(pls)))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))),X2))),hAPP(int,int,times_times(int,hAPP(int,int,times_times(int,number_number_of(int,bit1(bit1(pls)))),X1)),hAPP(nat,int,power_power(int,X2),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))))),hAPP(nat,int,power_power(int,X2),number_number_of(nat,bit1(bit1(pls)))))=hAPP(nat,int,power_power(int,hAPP(int,int,plus_plus(int,X1),X2)),number_number_of(nat,bit1(bit1(pls)))))). 15.01/2.43 cnf(i_0_1466, plain, (hBOOL(hAPP(int,bool,quadRes(hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),number_number_of(int,min))))). 15.01/2.43 cnf(i_0_884, plain, (legendre(number_number_of(int,min),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),X1)),one_one(int)))=one_one(int)|~hBOOL(hAPP(int,bool,zprime,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),X1)),one_one(int)))))). 15.01/2.43 cnf(i_0_201, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),one_one(int)))))). 15.01/2.43 cnf(i_0_1044, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),hAPP(int,int,minus_minus(int,hAPP(nat,int,power_power(int,s),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),number_number_of(int,min)))))). 15.01/2.43 cnf(i_0_51, plain, (hBOOL(hAPP(int,bool,quadRes(hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),number_number_of(int,min)))|legendre(number_number_of(int,min),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))!=one_one(int))). 15.01/2.43 cnf(i_0_400, plain, (ti(int,X1)=ti(int,esk9_0)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),X1))|~hBOOL(hAPP(int,bool,zcong(s1,X1),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int)))))). 15.01/2.43 cnf(i_0_864, plain, (hBOOL(hAPP(int,bool,twoSqu658283162sum2sq,hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))),t))))). 15.01/2.43 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 15.01/2.43 # Begin printing tableau 15.01/2.43 # Found 4 steps 15.01/2.43 cnf(i_0_1050, negated_conjecture, (hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,esk35_0),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,int,power_power(int,esk36_0),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))!=hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))), inference(start_rule)). 15.01/2.43 cnf(i_0_1738, plain, (hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,esk35_0),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,int,power_power(int,esk36_0),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))!=hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),m)),one_one(int))), inference(extension_rule, [i_0_1456])). 15.01/2.43 cnf(i_0_5319, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))), inference(extension_rule, [i_0_1404])). 15.01/2.43 cnf(i_0_5395, plain, (~hBOOL(ti(bool,hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t)))), inference(etableau_closure_rule, [i_0_5395, ...])). 15.01/2.43 # End printing tableau 15.01/2.43 # SZS output end 15.01/2.43 # Branches closed with saturation will be marked with an "s" 15.01/2.44 # Child (1942) has found a proof. 15.01/2.44 15.01/2.44 # Proof search is over... 15.01/2.44 # Freeing feature tree 15.01/2.44 EOF