0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s 0.14/0.35 % Computer : n008.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1200 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Jul 13 16:38:59 EDT 2021 0.14/0.35 % CPUTime : 0.67/0.82 # No SInE strategy applied 0.67/0.82 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S0Y 0.67/0.82 # and selection function SelectMaxLComplexAvoidPosPred. 0.67/0.82 # 0.67/0.82 # Presaturation interreduction done 0.67/0.82 # Number of axioms: 1646 Number of unprocessed: 1355 0.67/0.82 # Tableaux proof search. 0.67/0.82 # APR header successfully linked. 0.67/0.82 # Hello from C++ 1.21/1.41 # The folding up rule is enabled... 1.21/1.41 # Local unification is enabled... 1.21/1.41 # Any saturation attempts will use folding labels... 1.21/1.41 # 1355 beginning clauses after preprocessing and clausification 1.21/1.41 # Creating start rules for all 1 conjectures. 1.21/1.41 # There are 1 start rule candidates: 1.21/1.41 # Found 379 unit axioms. 1.21/1.41 # 1 start rule tableaux created. 1.21/1.41 # 976 extension rule candidate clauses 1.21/1.41 # 379 unit axiom clauses 1.21/1.41 1.21/1.41 # Requested 8, 32 cores available to the main process. 1.21/1.41 # There are not enough tableaux to fork, creating more from the initial 1 1.21/1.41 # Creating equality axioms 1.21/1.41 # Ran out of tableaux, making start rules for all clauses 1.21/1.41 # Returning from population with 1456 new_tableaux and 0 remaining starting tableaux. 1.21/1.41 # We now have 1456 tableaux to operate on 3.79/1.76 # There were 1 total branch saturation attempts. 3.79/1.76 # There were 0 of these attempts blocked. 3.79/1.76 # There were 0 deferred branch saturation attempts. 3.79/1.76 # There were 0 free duplicated saturations. 3.79/1.76 # There were 1 total successful branch saturations. 3.79/1.76 # There were 0 successful branch saturations in interreduction. 3.79/1.76 # There were 0 successful branch saturations on the branch. 3.79/1.76 # There were 1 successful branch saturations after the branch. 3.79/1.76 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.79/1.76 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.79/1.76 # Begin clausification derivation 3.79/1.76 3.79/1.76 # End clausification derivation 3.79/1.76 # Begin listing active clauses obtained from FOF to CNF conversion 3.79/1.76 cnf(i_0_51, plain, (zero_zero(int)=pls)). 3.79/1.76 cnf(i_0_44, plain, (dvd(real))). 3.79/1.76 cnf(i_0_858, plain, (dvd(nat))). 3.79/1.76 cnf(i_0_16, plain, (dvd(int))). 3.79/1.76 cnf(i_0_1324, plain, (number(nat))). 3.79/1.76 cnf(i_0_93, plain, (number_number_of(nat,pls)=zero_zero(nat))). 3.79/1.76 cnf(i_0_27, plain, (number(int))). 3.79/1.76 cnf(i_0_1253, plain, (number(real))). 3.79/1.76 cnf(i_0_1290, plain, (linordered_semidom(real))). 3.79/1.76 cnf(i_0_448, plain, (linordered_semidom(nat))). 3.79/1.76 cnf(i_0_828, plain, (linordered_semidom(int))). 3.79/1.76 cnf(i_0_1180, plain, (ordere453448008miring(nat))). 3.79/1.76 cnf(i_0_955, plain, (minus_minus(int,min,min)=pls)). 3.79/1.76 cnf(i_0_146, plain, (plus_plus(int,pls,pls)=pls)). 3.79/1.76 cnf(i_0_1210, plain, (minus_minus(int,plus_plus(int,min,min),min)=min)). 3.79/1.76 cnf(i_0_902, plain, (hAPP(nat,int,semiring_1_of_nat(int),zero_zero(nat))=pls)). 3.79/1.76 cnf(i_0_1661, plain, (ordere453448008miring(real))). 3.79/1.76 cnf(i_0_1717, plain, (ordere453448008miring(int))). 3.79/1.76 cnf(i_0_1721, plain, (ordere216010020id_add(real))). 3.79/1.76 cnf(i_0_299, plain, (ordere216010020id_add(nat))). 3.79/1.76 cnf(i_0_394, plain, (ordere216010020id_add(int))). 3.79/1.76 cnf(i_0_802, plain, (mult_zero(real))). 3.79/1.76 cnf(i_0_11, plain, (mult_zero(nat))). 3.79/1.76 cnf(i_0_413, plain, (hAPP(nat,int,semiring_1_of_nat(int),one_one(nat))=one_one(int))). 3.79/1.76 cnf(i_0_1209, plain, (mult_zero(int))). 3.79/1.76 cnf(i_0_513, plain, (zero_neq_one(nat))). 3.79/1.76 cnf(i_0_1251, plain, (zero_neq_one(real))). 3.79/1.76 cnf(i_0_12, plain, (zero_neq_one(int))). 3.79/1.76 cnf(i_0_14, plain, (comm_semiring(real))). 3.79/1.76 cnf(i_0_749, plain, (comm_semiring(nat))). 3.79/1.76 cnf(i_0_755, plain, (comm_semiring(int))). 3.79/1.76 cnf(i_0_1382, plain, (linordered_idom(real))). 3.79/1.76 cnf(i_0_177, plain, (linordered_idom(int))). 3.79/1.76 cnf(i_0_52, plain, (comm_monoid_add(real))). 3.79/1.76 cnf(i_0_23, plain, (comm_monoid_add(nat))). 3.79/1.76 cnf(i_0_1127, plain, (comm_monoid_add(int))). 3.79/1.76 cnf(i_0_26, plain, (linord1278240602ring_1(real))). 3.79/1.76 cnf(i_0_682, plain, (linord1278240602ring_1(int))). 3.79/1.76 cnf(i_0_423, hypothesis, (ti(nat,n)=n)). 3.79/1.76 cnf(i_0_29, plain, (ordere779506340up_add(real))). 3.79/1.76 cnf(i_0_1235, plain, (ordere779506340up_add(nat))). 3.79/1.76 cnf(i_0_1409, plain, (ordere779506340up_add(int))). 3.79/1.76 cnf(i_0_1086, plain, (power(real))). 3.79/1.76 cnf(i_0_952, plain, (power(nat))). 3.79/1.76 cnf(i_0_30, plain, (power(int))). 3.79/1.76 cnf(i_0_1096, plain, (number_semiring(nat))). 3.79/1.76 cnf(i_0_1151, plain, (minus_minus(nat,zero_zero(nat),X1)=zero_zero(nat))). 3.79/1.76 cnf(i_0_1263, plain, (number_semiring(real))). 3.79/1.76 cnf(i_0_147, plain, (number_semiring(int))). 3.79/1.76 cnf(i_0_363, plain, (cancel_semigroup_add(real))). 3.79/1.76 cnf(i_0_671, plain, (cancel_semigroup_add(nat))). 3.79/1.76 cnf(i_0_1185, plain, (cancel_semigroup_add(int))). 3.79/1.76 cnf(i_0_1376, plain, (group_add(real))). 3.79/1.76 cnf(i_0_803, plain, (group_add(int))). 3.79/1.76 cnf(i_0_1449, plain, (comm_semiring_1(nat))). 3.79/1.76 cnf(i_0_1132, plain, (comm_semiring_1(int))). 3.79/1.76 cnf(i_0_1281, plain, (comm_semiring_1(real))). 3.79/1.76 cnf(i_0_46, plain, (ab_group_add(int))). 3.79/1.76 cnf(i_0_1395, plain, (ab_group_add(real))). 3.79/1.76 cnf(i_0_252, plain, (linordered_ring(real))). 3.79/1.76 cnf(i_0_122, plain, (linordered_ring(int))). 3.79/1.76 cnf(i_0_335, plain, (ring_11004092258visors(real))). 3.79/1.76 cnf(i_0_50, plain, (ring_11004092258visors(int))). 3.79/1.76 cnf(i_0_59, plain, (number_ring(int))). 3.79/1.76 cnf(i_0_215, plain, (ordere223160158up_add(nat))). 3.79/1.76 cnf(i_0_1603, plain, (ordere223160158up_add(int))). 3.79/1.76 cnf(i_0_748, plain, (comm_ring_1(int))). 3.79/1.76 cnf(i_0_882, plain, (number_ring(real))). 3.79/1.76 cnf(i_0_272, plain, (ordere236663937imp_le(nat))). 3.79/1.76 cnf(i_0_364, plain, (ordere223160158up_add(real))). 3.79/1.76 cnf(i_0_65, plain, (comm_ring_1(real))). 3.79/1.76 cnf(i_0_88, plain, (ordere236663937imp_le(real))). 3.79/1.76 cnf(i_0_426, plain, (ordere236663937imp_le(int))). 3.79/1.76 cnf(i_0_1242, plain, (linord893533164strict(nat))). 3.79/1.76 cnf(i_0_1211, plain, (linord893533164strict(int))). 3.79/1.76 cnf(i_0_1193, plain, (semiring_1(nat))). 3.79/1.76 cnf(i_0_1494, plain, (semiring_1(int))). 3.79/1.76 cnf(i_0_89, plain, (linordered_semiring(nat))). 3.79/1.76 cnf(i_0_81, plain, (linord893533164strict(real))). 3.79/1.76 cnf(i_0_883, plain, (linordered_semiring(int))). 3.79/1.76 cnf(i_0_211, plain, (semiring_1(real))). 3.79/1.76 cnf(i_0_1485, plain, (linordered_semiring(real))). 3.79/1.76 cnf(i_0_105, plain, (ordered_ring(real))). 3.79/1.76 cnf(i_0_1586, plain, (ordered_ring(int))). 3.79/1.76 cnf(i_0_549, plain, (order(nat))). 3.79/1.76 cnf(i_0_791, plain, (order(int))). 3.79/1.76 cnf(i_0_1161, plain, (linord20386208strict(nat))). 3.79/1.76 cnf(i_0_555, plain, (linord20386208strict(int))). 3.79/1.76 cnf(i_0_218, plain, (comm_monoid_mult(nat))). 3.79/1.76 cnf(i_0_868, plain, (order(real))). 3.79/1.76 cnf(i_0_588, plain, (comm_monoid_mult(int))). 3.79/1.76 cnf(i_0_1642, plain, (order(bool))). 3.79/1.76 cnf(i_0_768, plain, (linord20386208strict(real))). 3.79/1.76 cnf(i_0_750, plain, (comm_monoid_mult(real))). 3.79/1.76 cnf(i_0_731, plain, (linord626643107strict(real))). 3.79/1.76 cnf(i_0_162, plain, (linord626643107strict(int))). 3.79/1.76 cnf(i_0_1508, plain, (zero(nat))). 3.79/1.76 cnf(i_0_678, plain, (zero(int))). 3.79/1.76 cnf(i_0_937, plain, (ab_semigroup_mult(nat))). 3.79/1.76 cnf(i_0_1581, plain, (ab_semigroup_mult(int))). 3.79/1.76 cnf(i_0_163, plain, (zero(real))). 3.79/1.76 cnf(i_0_1391, plain, (semiring(nat))). 3.79/1.76 cnf(i_0_1308, plain, (ab_semigroup_mult(real))). 3.79/1.76 cnf(i_0_1596, plain, (semiring(real))). 3.79/1.76 cnf(i_0_180, plain, (semiring(int))). 3.79/1.76 cnf(i_0_767, plain, (monoid_add(real))). 3.79/1.76 cnf(i_0_175, plain, (monoid_add(nat))). 3.79/1.76 cnf(i_0_1321, plain, (monoid_add(int))). 3.79/1.76 cnf(i_0_1569, plain, (ordere142940540dd_abs(int))). 3.79/1.76 cnf(i_0_1534, plain, (linord219039673up_add(int))). 3.79/1.76 cnf(i_0_193, plain, (semiring_0(nat))). 3.79/1.76 cnf(i_0_178, plain, (ordere142940540dd_abs(real))). 3.79/1.76 cnf(i_0_698, plain, (semiring_0(int))). 3.79/1.76 cnf(i_0_1116, plain, (linord219039673up_add(real))). 3.79/1.76 cnf(i_0_740, plain, (semiring_0(real))). 3.79/1.76 cnf(i_0_411, plain, (ordered_semiring(real))). 3.79/1.76 cnf(i_0_217, plain, (ordered_semiring(nat))). 3.79/1.76 cnf(i_0_954, plain, (ordered_semiring(int))). 3.79/1.76 cnf(i_0_1483, plain, (monoid_mult(nat))). 3.79/1.76 cnf(i_0_443, plain, (monoid_mult(int))). 3.79/1.76 cnf(i_0_1183, plain, (linord581940658strict(int))). 3.79/1.76 cnf(i_0_296, plain, (ring(int))). 3.79/1.76 cnf(i_0_302, plain, (monoid_mult(real))). 3.79/1.76 cnf(i_0_1353, plain, (semiri456707255roduct(nat))). 3.79/1.76 cnf(i_0_637, plain, (linord581940658strict(real))). 3.79/1.76 cnf(i_0_1031, plain, (ring(real))). 3.79/1.76 cnf(i_0_308, plain, (semiri456707255roduct(real))). 3.79/1.76 cnf(i_0_936, plain, (semiri456707255roduct(int))). 3.79/1.76 cnf(i_0_309, plain, (ordered_ab_group_add(int))). 3.79/1.76 cnf(i_0_1304, plain, (no_zero_divisors(nat))). 3.79/1.76 cnf(i_0_876, plain, (no_zero_divisors(int))). 3.79/1.76 cnf(i_0_1502, plain, (linorder(nat))). 3.79/1.76 cnf(i_0_1459, plain, (linorder(int))). 3.79/1.76 cnf(i_0_1615, plain, (ordered_ab_group_add(real))). 3.79/1.76 cnf(i_0_959, plain, (idom(int))). 3.79/1.76 cnf(i_0_312, plain, (no_zero_divisors(real))). 3.79/1.76 cnf(i_0_327, plain, (linorder(real))). 3.79/1.76 cnf(i_0_1478, plain, (idom(real))). 3.79/1.76 cnf(i_0_1385, plain, (semiring_char_0(real))). 3.79/1.76 cnf(i_0_935, plain, (semiring_char_0(nat))). 3.79/1.76 cnf(i_0_382, plain, (semiring_char_0(int))). 3.79/1.76 cnf(i_0_854, plain, (ordere1490568538miring(nat))). 3.79/1.76 cnf(i_0_1142, plain, (ordere1490568538miring(int))). 3.79/1.76 cnf(i_0_1157, plain, (ab_semigroup_add(nat))). 3.79/1.76 cnf(i_0_393, plain, (ordere1490568538miring(real))). 3.79/1.76 cnf(i_0_1550, plain, (ab_semigroup_add(int))). 3.79/1.76 cnf(i_0_956, plain, (ab_semigroup_add(real))). 3.79/1.76 cnf(i_0_564, plain, (comm_ring(real))). 3.79/1.76 cnf(i_0_987, plain, (comm_ring(int))). 3.79/1.76 cnf(i_0_711, plain, (ring_1(real))). 3.79/1.76 cnf(i_0_584, plain, (ring_1(int))). 3.79/1.76 cnf(i_0_644, plain, (ring_n68954251visors(int))). 3.79/1.76 cnf(i_0_689, plain, (one(nat))). 3.79/1.76 cnf(i_0_1056, plain, (one(int))). 3.79/1.76 cnf(i_0_1640, plain, (ordered_ring_abs(int))). 3.79/1.76 cnf(i_0_1527, plain, (ring_n68954251visors(real))). 3.79/1.76 cnf(i_0_1072, plain, (cancel146912293up_add(nat))). 3.79/1.76 cnf(i_0_1600, plain, (one(real))). 3.79/1.76 cnf(i_0_841, plain, (ordered_ring_abs(real))). 3.79/1.76 cnf(i_0_1619, plain, (cancel146912293up_add(real))). 3.79/1.76 cnf(i_0_1228, plain, (cancel146912293up_add(int))). 3.79/1.76 cnf(i_0_926, plain, (ring_char_0(int))). 3.79/1.76 cnf(i_0_1501, plain, (minus_minus(nat,X1,zero_zero(nat))=X1)). 3.79/1.76 cnf(i_0_1484, plain, (plus_plus(nat,X1,zero_zero(nat))=X1)). 3.79/1.76 cnf(i_0_1396, plain, (ring_char_0(real))). 3.79/1.76 cnf(i_0_1196, plain, (plus_plus(nat,zero_zero(nat),X1)=X1)). 3.79/1.76 cnf(i_0_1042, plain, (times_times(int,pls,X1)=pls)). 3.79/1.76 cnf(i_0_28, plain, (ti(bool,fTrue)=fTrue)). 3.79/1.76 cnf(i_0_619, plain, (ti(bool,fFalse)=fFalse)). 3.79/1.76 cnf(i_0_706, plain, (ti(nat,tn)=tn)). 3.79/1.76 cnf(i_0_1551, plain, (plus_plus(int,X1,one_one(int))=minus_minus(int,X1,min))). 3.79/1.76 cnf(i_0_264, plain, (minus_minus(nat,X1,X1)=zero_zero(nat))). 3.79/1.76 cnf(i_0_1482, plain, (times_times(nat,X1,one_one(nat))=X1)). 3.79/1.76 cnf(i_0_1381, plain, (ti(X1,undefined(X1))=undefined(X1))). 3.79/1.76 cnf(i_0_221, plain, (times_times(nat,one_one(nat),X1)=X1)). 3.79/1.76 cnf(i_0_1049, plain, (times_times(nat,X1,zero_zero(nat))=zero_zero(nat))). 3.79/1.76 cnf(i_0_509, plain, (times_times(nat,zero_zero(nat),X1)=zero_zero(nat))). 3.79/1.76 cnf(i_0_235, plain, (number_number_of(int,X1)=plus_plus(int,pls,X1))). 3.79/1.76 cnf(i_0_294, plain, (minus_minus(int,X1,pls)=plus_plus(int,pls,X1))). 3.79/1.76 cnf(i_0_92, plain, (plus_plus(int,pls,min)=min)). 3.79/1.76 cnf(i_0_1536, plain, (plus_plus(int,pls,m)=m)). 3.79/1.76 cnf(i_0_1557, plain, (plus_plus(int,pls,s1)=s1)). 3.79/1.76 cnf(i_0_508, plain, (quadRes(plus_plus(int,pls,X1))=quadRes(X1))). 3.79/1.76 cnf(i_0_109, plain, (plus_plus(int,pls,y)=y)). 3.79/1.76 cnf(i_0_1348, plain, (plus_plus(int,pls,s)=s)). 3.79/1.76 cnf(i_0_1723, plain, (plus_plus(int,pls,x)=x)). 3.79/1.76 cnf(i_0_1616, plain, (plus_plus(int,pls,t)=t)). 3.79/1.76 cnf(i_0_1637, plain, (plus_plus(int,pls,m1)=m1)). 3.79/1.76 cnf(i_0_390, plain, (nat_1(X1)=number_number_of(nat,X1))). 3.79/1.76 cnf(i_0_717, plain, (number_number_of(nat,one_one(int))=one_one(nat))). 3.79/1.76 cnf(i_0_856, plain, (number_number_of(nat,plus_plus(int,pls,X1))=number_number_of(nat,X1))). 3.79/1.76 cnf(i_0_1267, plain, (ti(int,X1)=plus_plus(int,pls,X1))). 3.79/1.76 cnf(i_0_348, plain, (minus_minus(nat,number_number_of(nat,t),one_one(nat))=tn)). 3.79/1.76 cnf(i_0_297, plain, (ti(fun(int,bool),twoSqu658283162sum2sq)=twoSqu658283162sum2sq)). 3.79/1.76 cnf(i_0_1248, plain, (ti(nat,number_number_of(nat,X1))=number_number_of(nat,X1))). 3.79/1.76 cnf(i_0_1729, plain, (hAPP(nat,nat,power_power(nat,X1),zero_zero(nat))=one_one(nat))). 3.79/1.76 cnf(i_0_486, plain, (ti(fun(int,bool),zprime)=zprime)). 3.79/1.76 cnf(i_0_1700, plain, (times_times(real,one_one(real),X1)=X1)). 3.79/1.76 cnf(i_0_951, plain, (times_times(int,X1,one_one(int))=plus_plus(int,pls,X1))). 3.79/1.76 cnf(i_0_535, plain, (hAPP(nat,nat,power_power(nat,one_one(nat)),X1)=one_one(nat))). 3.79/1.76 cnf(i_0_1091, plain, (number_number_of(nat,hAPP(nat,int,semiring_1_of_nat(int),X1))=X1)). 3.79/1.76 cnf(i_0_973, plain, (times_times(int,one_one(int),X1)=plus_plus(int,pls,X1))). 3.79/1.76 cnf(i_0_1098, plain, (ti(X1,ti(X1,X2))=ti(X1,X2))). 3.79/1.76 cnf(i_0_1535, plain, (if(X1,fFalse,X2,X3)=ti(X1,X3))). 3.79/1.76 cnf(i_0_273, plain, (if(X1,fTrue,X2,X3)=ti(X1,X2))). 3.79/1.76 cnf(i_0_707, plain, (minus_minus(int,plus_plus(int,pls,X1),min)=minus_minus(int,X1,min))). 3.79/1.76 cnf(i_0_37, plain, (plus_plus(int,pls,minus_minus(int,X1,min))=minus_minus(int,X1,min))). 3.79/1.76 cnf(i_0_510, plain, (minus_minus(int,pls,min)=one_one(int))). 3.79/1.76 cnf(i_0_862, plain, (number_number_of(nat,minus_minus(int,one_one(int),min))=plus_plus(nat,one_one(nat),one_one(nat)))). 3.79/1.76 cnf(i_0_477, plain, (ti(fun(int,bool),quadRes(X1))=quadRes(X1))). 3.79/1.76 cnf(i_0_1426, plain, (minus_minus(nat,plus_plus(nat,X1,X2),X2)=X1)). 3.79/1.76 cnf(i_0_659, plain, (zcong(plus_plus(int,pls,X1),X2)=zcong(X1,X2))). 3.79/1.76 cnf(i_0_230, plain, (minus_minus(nat,plus_plus(nat,X1,X2),X1)=X2)). 3.79/1.76 cnf(i_0_1171, plain, (legendre(plus_plus(int,pls,X1),X2)=legendre(X1,X2))). 3.79/1.76 cnf(i_0_1544, plain, (zcong(X1,plus_plus(int,pls,X2))=zcong(X1,X2))). 3.79/1.76 cnf(i_0_863, plain, (legendre(X1,plus_plus(int,pls,X2))=legendre(X1,X2))). 3.79/1.76 cnf(i_0_435, plain, (plus_plus(int,pls,legendre(X1,X2))=legendre(X1,X2))). 3.79/1.76 cnf(i_0_983, plain, (minus_minus(nat,X1,plus_plus(nat,X1,X2))=zero_zero(nat))). 3.79/1.76 cnf(i_0_1198, negated_conjecture, (hAPP(nat,int,power_power(int,plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n))),plus_plus(nat,one_one(nat),one_one(nat)))=pls)). 3.79/1.76 cnf(i_0_1686, plain, (hAPP(nat,int,semiring_1_of_nat(int),plus_plus(nat,one_one(nat),one_one(nat)))=minus_minus(int,one_one(int),min))). 3.79/1.76 cnf(i_0_788, plain, (abs_abs(int,hAPP(nat,int,semiring_1_of_nat(int),X1))=hAPP(nat,int,semiring_1_of_nat(int),X1))). 3.79/1.76 cnf(i_0_400, plain, (minus_minus(nat,ti(nat,X1),X2)=minus_minus(nat,X1,X2))). 3.79/1.76 cnf(i_0_79, plain, (minus_minus(nat,X1,ti(nat,X2))=minus_minus(nat,X1,X2))). 3.79/1.76 cnf(i_0_1099, hypothesis, (plus_plus(int,pls,plus_plus(int,X1,X1))=plus_plus(int,X1,X1))). 3.79/1.76 cnf(i_0_1153, plain, (ti(nat,minus_minus(nat,X1,X2))=minus_minus(nat,X1,X2))). 3.79/1.76 cnf(i_0_1572, plain, (hAPP(nat,int,semiring_1_of_nat(int),number_number_of(nat,minus_minus(int,minus_minus(int,one_one(int),min),min)))=minus_minus(int,minus_minus(int,one_one(int),min),min))). 3.79/1.76 cnf(i_0_823, plain, (plus_plus(int,X1,plus_plus(int,one_one(int),X1))=minus_minus(int,plus_plus(int,X1,X1),min))). 3.79/1.76 cnf(i_0_960, plain, (hBOOL(hAPP(int,bool,zcong(X1,X1),X2)))). 3.79/1.76 cnf(i_0_860, plain, (hBOOL(hAPP(int,bool,zcong(X1,X2),one_one(int))))). 3.79/1.76 cnf(i_0_618, plain, (hBOOL(hAPP(int,bool,zcong(X1,pls),X1)))). 3.79/1.76 cnf(i_0_1044, plain, (minus_minus(int,pls,minus_minus(int,plus_plus(int,X1,X1),min))=minus_minus(int,min,plus_plus(int,X1,X1)))). 3.79/1.76 cnf(i_0_834, plain, (ti(fun(int,bool),zcong(X1,X2))=zcong(X1,X2))). 3.79/1.76 cnf(i_0_1105, plain, (plus_plus(int,hAPP(nat,int,semiring_1_of_nat(int),X1),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,int,semiring_1_of_nat(int),plus_plus(nat,X1,X2)))). 3.79/1.76 cnf(i_0_603, plain, (hAPP(nat,int,power_power(int,hAPP(nat,int,semiring_1_of_nat(int),X1)),X2)=hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,power_power(nat,X1),X2)))). 3.79/1.76 cnf(i_0_676, plain, (minus_minus(nat,minus_minus(nat,X1,X2),X3)=minus_minus(nat,X1,plus_plus(nat,X2,X3)))). 3.79/1.76 cnf(i_0_212, plain, (plus_plus(nat,plus_plus(nat,X1,X2),X3)=plus_plus(nat,X1,plus_plus(nat,X2,X3)))). 3.79/1.76 cnf(i_0_1234, plain, (plus_plus(int,plus_plus(int,X1,X2),X3)=plus_plus(int,X1,plus_plus(int,X2,X3)))). 3.79/1.76 cnf(i_0_479, plain, (plus_plus(int,pls,plus_plus(int,X1,plus_plus(int,pls,X2)))=plus_plus(int,pls,plus_plus(int,X1,X2)))). 3.79/1.76 cnf(i_0_1278, plain, (hBOOL(hAPP(int,bool,zprime,minus_minus(int,one_one(int),min))))). 3.79/1.76 cnf(i_0_1356, plain, (times_times(int,plus_plus(int,pls,X1),plus_plus(int,pls,X2))=plus_plus(int,pls,times_times(int,X1,X2)))). 3.79/1.76 cnf(i_0_815, plain, (minus_minus(int,y,times_times(int,esk25_0,plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n))))=plus_plus(int,pls,esk26_0))). 3.79/1.76 cnf(i_0_257, plain, (minus_minus(int,x,times_times(int,esk12_0,plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n))))=plus_plus(int,pls,esk13_0))). 3.79/1.76 cnf(i_0_578, plain, (minus_minus(nat,plus_plus(nat,X1,X2),plus_plus(nat,X3,X2))=minus_minus(nat,X1,X3))). 3.79/1.76 cnf(i_0_1221, plain, (minus_minus(nat,plus_plus(nat,X1,X2),plus_plus(nat,X1,X3))=minus_minus(nat,X2,X3))). 3.79/1.76 cnf(i_0_1553, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),pls)))). 3.79/1.76 cnf(i_0_1441, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),min),pls)))). 3.79/1.76 cnf(i_0_15, plain, (times_times(int,hAPP(nat,int,semiring_1_of_nat(int),X1),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,int,semiring_1_of_nat(int),times_times(nat,X1,X2)))). 3.79/1.76 cnf(i_0_1693, plain, (times_times(nat,times_times(nat,X1,X2),X3)=times_times(nat,X1,times_times(nat,X2,X3)))). 3.79/1.76 cnf(i_0_384, plain, (times_times(int,times_times(int,X1,X2),X3)=times_times(int,X1,times_times(int,X2,X3)))). 3.79/1.76 cnf(i_0_753, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),n)))). 3.79/1.76 cnf(i_0_1023, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),one_one(int))))). 3.79/1.76 cnf(i_0_783, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),one_one(int))))). 3.79/1.76 cnf(i_0_1212, plain, (if(X1,ti(bool,X2),X3,X4)=if(X1,X2,X3,X4))). 3.79/1.76 cnf(i_0_404, plain, (if(X1,X2,X3,ti(X1,X4))=if(X1,X2,X3,X4))). 3.79/1.76 cnf(i_0_1582, plain, (if(X1,X2,ti(X1,X3),X4)=if(X1,X2,X3,X4))). 3.79/1.76 cnf(i_0_1357, plain, (plus_plus(int,hAPP(nat,int,semiring_1_of_nat(int),X1),plus_plus(int,hAPP(nat,int,semiring_1_of_nat(int),X2),X3))=plus_plus(int,hAPP(nat,int,semiring_1_of_nat(int),plus_plus(nat,X1,X2)),X3))). 3.79/1.76 cnf(i_0_871, plain, (hAPP(nat,int,power_power(int,hAPP(nat,int,power_power(int,X1),X2)),X3)=hAPP(nat,int,power_power(int,X1),times_times(nat,X2,X3)))). 3.79/1.76 cnf(i_0_262, plain, (ti(X1,if(X1,X2,X3,X4))=if(X1,X2,X3,X4))). 3.79/1.76 cnf(i_0_3, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X1)))). 3.79/1.76 cnf(i_0_953, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X1)))). 3.79/1.76 cnf(i_0_635, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X1)))). 3.79/1.76 cnf(i_0_643, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),tn)))). 3.79/1.76 cnf(i_0_691, plain, (abs_abs(int,hAPP(nat,int,power_power(int,X1),plus_plus(nat,one_one(nat),one_one(nat))))=hAPP(nat,int,power_power(int,abs_abs(int,X1)),plus_plus(nat,one_one(nat),one_one(nat))))). 3.79/1.76 cnf(i_0_383, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t)))). 3.79/1.76 cnf(i_0_1294, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),s)))). 3.79/1.76 cnf(i_0_41, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),esk1_0)))). 3.79/1.76 cnf(i_0_1599, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),esk41_0)))). 3.79/1.76 cnf(i_0_1202, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),t)))). 3.79/1.76 cnf(i_0_697, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),zero_zero(nat)),X1)))). 3.79/1.76 cnf(i_0_1000, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n)))))). 3.79/1.76 cnf(i_0_574, plain, (plus_plus(int,minus_minus(int,X1,X2),minus_minus(int,X1,X2))=minus_minus(int,plus_plus(int,X1,X1),plus_plus(int,X2,X2)))). 3.79/1.76 cnf(i_0_1118, plain, (minus_minus(int,minus_minus(int,plus_plus(int,X1,X1),min),min)=minus_minus(int,plus_plus(int,X1,X1),plus_plus(int,min,min)))). 3.79/1.76 cnf(i_0_1564, plain, (minus_minus(int,min,minus_minus(int,plus_plus(int,X1,X1),min))=minus_minus(int,plus_plus(int,min,min),plus_plus(int,X1,X1)))). 3.79/1.76 cnf(i_0_652, plain, (legendre(min,minus_minus(int,times_times(int,m,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min))),min))=one_one(int))). 3.79/1.76 cnf(i_0_378, plain, (abs_abs(int,hAPP(nat,int,power_power(int,X1),number_number_of(nat,minus_minus(int,minus_minus(int,one_one(int),min),min))))=hAPP(nat,int,power_power(int,abs_abs(int,X1)),number_number_of(nat,minus_minus(int,minus_minus(int,one_one(int),min),min))))). 3.79/1.76 cnf(i_0_1014, plain, (times_times(real,times_times(real,X1,X2),X3)=times_times(real,X1,times_times(real,X2,X3)))). 3.79/1.76 cnf(i_0_827, plain, (plus_plus(int,times_times(int,X1,X2),times_times(int,X1,X3))=times_times(int,X1,plus_plus(int,X2,X3)))). 3.79/1.76 cnf(i_0_316, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),hAPP(nat,int,semiring_1_of_nat(int),X1))))). 3.79/1.76 cnf(i_0_850, plain, (minus_minus(int,times_times(int,X1,X2),times_times(int,X1,X3))=times_times(int,X1,minus_minus(int,X2,X3)))). 3.79/1.76 cnf(i_0_24, plain, (minus_minus(nat,times_times(nat,X1,X2),times_times(nat,X3,X2))=times_times(nat,minus_minus(nat,X1,X3),X2))). 3.79/1.76 cnf(i_0_328, plain, (plus_plus(int,times_times(int,X1,X2),times_times(int,X3,X2))=times_times(int,plus_plus(int,X1,X3),X2))). 3.79/1.76 cnf(i_0_500, plain, (minus_minus(int,minus_minus(int,plus_plus(int,X1,X1),plus_plus(int,X2,X2)),min)=minus_minus(int,minus_minus(int,plus_plus(int,X1,X1),min),plus_plus(int,X2,X2)))). 3.79/1.76 cnf(i_0_1027, plain, (plus_plus(int,minus_minus(int,plus_plus(int,X1,X1),min),plus_plus(int,X2,X2))=plus_plus(int,X1,plus_plus(int,X1,minus_minus(int,plus_plus(int,X2,X2),min))))). 3.79/1.76 cnf(i_0_1388, plain, (minus_minus(int,plus_plus(int,X1,plus_plus(int,X2,plus_plus(int,X1,X2))),min)=plus_plus(int,X1,plus_plus(int,X1,minus_minus(int,plus_plus(int,X2,X2),min))))). 3.79/1.76 cnf(i_0_310, plain, (minus_minus(int,times_times(int,X1,X2),times_times(int,X3,X2))=times_times(int,minus_minus(int,X1,X3),X2))). 3.79/1.76 cnf(i_0_505, plain, (plus_plus(nat,times_times(nat,X1,X2),times_times(nat,X1,X3))=times_times(nat,X1,plus_plus(nat,X2,X3)))). 3.79/1.76 cnf(i_0_1623, plain, (minus_minus(int,minus_minus(int,plus_plus(int,X1,X1),min),minus_minus(int,plus_plus(int,X2,X2),min))=minus_minus(int,plus_plus(int,X1,X1),plus_plus(int,X2,X2)))). 3.79/1.76 cnf(i_0_726, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),m1),plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n)))))). 3.79/1.76 cnf(i_0_430, plain, (minus_minus(nat,times_times(nat,X1,X2),times_times(nat,X1,X3))=times_times(nat,X1,minus_minus(nat,X2,X3)))). 3.79/1.76 cnf(i_0_884, plain, (plus_plus(nat,times_times(nat,X1,X2),times_times(nat,X3,X2))=times_times(nat,plus_plus(nat,X1,X3),X2))). 3.79/1.76 cnf(i_0_970, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),plus_plus(nat,one_one(nat),one_one(nat)))))). 3.79/1.76 cnf(i_0_1575, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),minus_minus(int,one_one(int),min))))). 3.79/1.76 cnf(i_0_1351, plain, (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),plus_plus(nat,X2,X3)))). 3.79/1.76 cnf(i_0_927, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),minus_minus(int,minus_minus(int,one_one(int),min),min))))). 3.79/1.76 cnf(i_0_1491, plain, (hAPP(nat,int,power_power(int,X1),times_times(nat,plus_plus(nat,one_one(nat),one_one(nat)),plus_plus(nat,one_one(nat),one_one(nat))))=hAPP(nat,int,power_power(int,X1),number_number_of(nat,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))))). 3.79/1.76 cnf(i_0_1166, plain, (times_times(nat,number_number_of(nat,abs_abs(int,X1)),number_number_of(nat,abs_abs(int,X2)))=number_number_of(nat,abs_abs(int,times_times(int,X1,X2))))). 3.79/1.76 cnf(i_0_1430, plain, (plus_plus(real,times_times(real,X1,X2),times_times(real,X3,X2))=times_times(real,plus_plus(real,X1,X3),X2))). 3.79/1.76 cnf(i_0_1473, plain, (hBOOL(hAPP(int,bool,zcong(times_times(int,X1,X2),times_times(int,X3,X2)),X2)))). 3.79/1.76 cnf(i_0_365, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X1)))). 3.79/1.76 cnf(i_0_281, plain, (times_times(real,zero_zero(real),plus_plus(real,zero_zero(real),zero_zero(real)))=zero_zero(real))). 3.79/1.76 cnf(i_0_287, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),plus_plus(nat,X2,X1))))). 3.79/1.76 cnf(i_0_1220, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),plus_plus(nat,X1,X2))))). 3.79/1.76 cnf(i_0_561, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),minus_minus(nat,X1,X2)),X1)))). 3.79/1.76 cnf(i_0_1368, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),times_times(nat,X1,X1))))). 3.79/1.76 cnf(i_0_1208, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),one_one(nat))))). 3.79/1.76 cnf(i_0_1126, plain, (hBOOL(hAPP(int,bool,zprime,minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))))). 3.79/1.76 cnf(i_0_878, plain, (plus_plus(nat,times_times(nat,X1,X2),plus_plus(nat,times_times(nat,X3,X2),X4))=plus_plus(nat,times_times(nat,plus_plus(nat,X1,X3),X2),X4))). 3.79/1.76 cnf(i_0_661, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),hAPP(nat,int,power_power(int,abs_abs(int,X1)),X2))))). 3.79/1.76 cnf(i_0_530, plain, (hBOOL(hAPP(int,bool,quadRes(minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min)),min)))). 3.79/1.76 cnf(i_0_1660, plain, (plus_plus(int,minus_minus(int,plus_plus(int,X1,X1),min),minus_minus(int,plus_plus(int,X2,X2),min))=plus_plus(int,X1,plus_plus(int,minus_minus(int,X2,min),plus_plus(int,X1,minus_minus(int,X2,min)))))). 3.79/1.76 cnf(i_0_425, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),times_times(nat,X1,times_times(nat,X1,X1)))))). 3.79/1.76 cnf(i_0_22, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,power_power(int,X1),plus_plus(nat,one_one(nat),one_one(nat))))))). 3.79/1.76 cnf(i_0_985, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(nat,int,power_power(int,abs_abs(int,X1)),zero_zero(nat)))))). 3.79/1.76 cnf(i_0_1145, plain, (times_times(int,t,minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))=minus_minus(int,hAPP(nat,int,power_power(int,s),plus_plus(nat,one_one(nat),one_one(nat))),min))). 3.79/1.76 cnf(i_0_145, plain, (times_times(int,esk4_0,minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))=minus_minus(int,hAPP(nat,int,power_power(int,s),plus_plus(nat,one_one(nat),one_one(nat))),min))). 3.79/1.76 cnf(i_0_1, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),plus_plus(real,one_one(real),abs_abs(real,X1)))))). 3.79/1.76 cnf(i_0_1293, plain, (hBOOL(hAPP(int,bool,zcong(s1,s),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))))). 3.79/1.76 cnf(i_0_39, plain, (hBOOL(hAPP(int,bool,zcong(s1,esk1_0),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))))). 3.79/1.76 cnf(i_0_1598, plain, (hBOOL(hAPP(int,bool,zcong(s1,esk41_0),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))))). 3.79/1.76 cnf(i_0_605, plain, (hBOOL(hAPP(int,bool,twoSqu658283162sum2sq,minus_minus(int,hAPP(nat,int,power_power(int,s),plus_plus(nat,one_one(nat),one_one(nat))),min))))). 3.79/1.76 cnf(i_0_258, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),times_times(int,abs_abs(int,esk13_0),minus_minus(int,one_one(int),min))),plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n)))))). 3.79/1.76 cnf(i_0_816, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),times_times(int,abs_abs(int,esk26_0),minus_minus(int,one_one(int),min))),plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n)))))). 3.79/1.76 cnf(i_0_647, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))))). 3.79/1.76 cnf(i_0_826, plain, (times_times(int,plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n)),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))=plus_plus(int,hAPP(nat,int,power_power(int,y),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,int,power_power(int,x),plus_plus(nat,one_one(nat),one_one(nat)))))). 3.79/1.76 cnf(i_0_540, plain, (hBOOL(hAPP(int,bool,twoSqu658283162sum2sq,plus_plus(int,hAPP(nat,int,power_power(int,y),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,int,power_power(int,x),plus_plus(nat,one_one(nat),one_one(nat)))))))). 3.79/1.76 cnf(i_0_1345, plain, (plus_plus(int,hAPP(nat,int,power_power(int,esk33_0),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,int,power_power(int,esk34_0),plus_plus(nat,one_one(nat),one_one(nat))))=plus_plus(int,hAPP(nat,int,power_power(int,y),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,int,power_power(int,x),plus_plus(nat,one_one(nat),one_one(nat)))))). 3.79/1.76 cnf(i_0_1292, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),s),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))))). 3.79/1.76 cnf(i_0_1400, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),t),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))))). 3.79/1.76 cnf(i_0_40, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk1_0),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))))). 3.79/1.76 cnf(i_0_1597, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),esk41_0),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))))). 3.79/1.76 cnf(i_0_541, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),plus_plus(int,one_one(int),hAPP(nat,int,semiring_1_of_nat(int),n))),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))))). 3.79/1.76 cnf(i_0_624, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,s1),plus_plus(nat,one_one(nat),one_one(nat))),min),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))))). 3.79/1.76 cnf(i_0_793, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,s),plus_plus(nat,one_one(nat),one_one(nat))),min),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))))). 3.79/1.76 cnf(i_0_1545, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,esk40_0),plus_plus(nat,one_one(nat),one_one(nat))),min),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))))). 3.79/1.76 cnf(i_0_1561, plain, (plus_plus(real,hAPP(nat,real,power_power(real,zero_zero(real)),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,real,power_power(real,zero_zero(real)),plus_plus(nat,one_one(nat),one_one(nat))))=zero_zero(real))). 3.79/1.76 cnf(i_0_1104, plain, (plus_plus(int,hAPP(nat,int,power_power(int,X1),plus_plus(nat,one_one(nat),one_one(nat))),minus_minus(int,hAPP(nat,int,power_power(int,X2),plus_plus(nat,one_one(nat),one_one(nat))),times_times(int,minus_minus(int,one_one(int),min),times_times(int,X2,X1))))=hAPP(nat,int,power_power(int,minus_minus(int,X2,X1)),plus_plus(nat,one_one(nat),one_one(nat))))). 3.79/1.76 cnf(i_0_1363, plain, (plus_plus(int,hAPP(nat,int,power_power(int,X1),plus_plus(nat,one_one(nat),one_one(nat))),plus_plus(int,times_times(int,minus_minus(int,one_one(int),min),times_times(int,X1,X2)),hAPP(nat,int,power_power(int,X2),plus_plus(nat,one_one(nat),one_one(nat)))))=hAPP(nat,int,power_power(int,plus_plus(int,X1,X2)),plus_plus(nat,one_one(nat),one_one(nat))))). 3.79/1.76 cnf(i_0_857, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min)),minus_minus(int,hAPP(nat,int,power_power(int,s),plus_plus(nat,one_one(nat),one_one(nat))),min))))). 3.79/1.76 cnf(i_0_681, 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,minus_minus(int,one_one(int),min))),X1))))). 3.79/1.76 cnf(i_0_1457, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,s),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,int,power_power(int,s1),plus_plus(nat,one_one(nat),one_one(nat)))),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))))). 3.79/1.76 cnf(i_0_792, plain, (times_times(real,number_number_of(real,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min))),hAPP(nat,real,power_power(real,X1),plus_plus(nat,one_one(nat),one_one(nat))))=hAPP(nat,real,power_power(real,times_times(real,number_number_of(real,minus_minus(int,one_one(int),min)),X1)),plus_plus(nat,one_one(nat),one_one(nat))))). 3.79/1.76 cnf(i_0_198, plain, (plus_plus(real,plus_plus(real,hAPP(nat,real,power_power(real,X1),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,real,power_power(real,X2),plus_plus(nat,one_one(nat),one_one(nat)))),times_times(real,number_number_of(real,minus_minus(int,one_one(int),min)),times_times(real,X1,X2)))=hAPP(nat,real,power_power(real,plus_plus(real,X1,X2)),plus_plus(nat,one_one(nat),one_one(nat))))). 3.79/1.76 cnf(i_0_1692, plain, (plus_plus(int,hAPP(nat,int,power_power(int,X1),number_number_of(nat,minus_minus(int,minus_minus(int,one_one(int),min),min))),plus_plus(int,hAPP(nat,int,power_power(int,X2),number_number_of(nat,minus_minus(int,minus_minus(int,one_one(int),min),min))),times_times(int,minus_minus(int,minus_minus(int,one_one(int),min),min),plus_plus(int,times_times(int,X1,hAPP(nat,int,power_power(int,X2),plus_plus(nat,one_one(nat),one_one(nat)))),times_times(int,hAPP(nat,int,power_power(int,X1),plus_plus(nat,one_one(nat),one_one(nat))),X2)))))=hAPP(nat,int,power_power(int,plus_plus(int,X1,X2)),number_number_of(nat,minus_minus(int,minus_minus(int,one_one(int),min),min))))). 3.79/1.76 cnf(i_0_746, plain, (minus_minus(int,plus_plus(int,times_times(int,minus_minus(int,minus_minus(int,one_one(int),min),min),times_times(int,X1,hAPP(nat,int,power_power(int,X2),plus_plus(nat,one_one(nat),one_one(nat))))),minus_minus(int,hAPP(nat,int,power_power(int,X1),number_number_of(nat,minus_minus(int,minus_minus(int,one_one(int),min),min))),times_times(int,minus_minus(int,minus_minus(int,one_one(int),min),min),times_times(int,hAPP(nat,int,power_power(int,X1),plus_plus(nat,one_one(nat),one_one(nat))),X2)))),hAPP(nat,int,power_power(int,X2),number_number_of(nat,minus_minus(int,minus_minus(int,one_one(int),min),min))))=hAPP(nat,int,power_power(int,minus_minus(int,X1,X2)),number_number_of(nat,minus_minus(int,minus_minus(int,one_one(int),min),min))))). 3.79/1.76 cnf(i_0_733, plain, (plus_plus(nat,X1,X2)=plus_plus(nat,X2,X1))). 3.79/1.76 cnf(i_0_1195, plain, (plus_plus(int,X1,X2)=plus_plus(int,X2,X1))). 3.79/1.76 cnf(i_0_657, plain, (times_times(nat,X1,X2)=times_times(nat,X2,X1))). 3.79/1.76 cnf(i_0_851, plain, (times_times(int,X1,X2)=times_times(int,X2,X1))). 3.79/1.76 cnf(i_0_1340, plain, (times_times(real,X1,X2)=times_times(real,X2,X1))). 3.79/1.76 cnf(i_0_222, plain, (plus_plus(nat,X1,X1)=times_times(nat,X1,plus_plus(nat,one_one(nat),one_one(nat))))). 3.79/1.76 cnf(i_0_1526, plain, (times_times(nat,plus_plus(nat,one_one(nat),one_one(nat)),X1)=plus_plus(nat,X1,X1))). 3.79/1.76 cnf(i_0_1047, plain, (plus_plus(nat,X1,plus_plus(nat,X2,X3))=plus_plus(nat,X2,plus_plus(nat,X1,X3)))). 3.79/1.76 cnf(i_0_732, plain, (plus_plus(int,X1,plus_plus(int,X2,X3))=plus_plus(int,X2,plus_plus(int,X1,X3)))). 3.79/1.76 cnf(i_0_468, plain, (times_times(int,X1,plus_plus(int,X2,X2))=times_times(int,plus_plus(int,X1,X1),X2))). 3.79/1.76 cnf(i_0_1434, plain, (hAPP(nat,int,power_power(int,X1),number_number_of(nat,minus_minus(int,minus_minus(int,one_one(int),min),min)))=times_times(int,X1,hAPP(nat,int,power_power(int,X1),plus_plus(nat,one_one(nat),one_one(nat)))))). 3.79/1.76 cnf(i_0_1077, plain, (plus_plus(int,X1,times_times(int,X2,plus_plus(int,X1,X1)))=times_times(int,minus_minus(int,plus_plus(int,X2,X2),min),X1))). 3.79/1.76 cnf(i_0_445, plain, (times_times(nat,plus_plus(nat,X1,X2),minus_minus(nat,X1,X2))=minus_minus(nat,hAPP(nat,nat,power_power(nat,X1),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,nat,power_power(nat,X2),plus_plus(nat,one_one(nat),one_one(nat)))))). 3.79/1.76 cnf(i_0_725, plain, (minus_minus(int,hAPP(nat,int,power_power(int,X1),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,int,power_power(int,X2),plus_plus(nat,one_one(nat),one_one(nat))))=times_times(int,plus_plus(int,X1,X2),minus_minus(int,X1,X2)))). 3.79/1.76 cnf(i_0_801, plain, (plus_plus(int,times_times(int,minus_minus(int,X1,times_times(int,X2,X3)),X4),times_times(int,minus_minus(int,X5,times_times(int,X2,X6)),X7))=minus_minus(int,plus_plus(int,times_times(int,X1,X4),times_times(int,X5,X7)),times_times(int,X2,plus_plus(int,times_times(int,X3,X4),times_times(int,X6,X7)))))). 3.79/1.76 cnf(i_0_263, plain, (min!=pls)). 3.79/1.76 cnf(i_0_770, plain, (one_one(int)!=pls)). 3.79/1.76 cnf(i_0_1659, plain, (one_one(real)!=zero_zero(real))). 3.79/1.76 cnf(i_0_606, plain, (plus_plus(int,X1,X1)!=min)). 3.79/1.76 cnf(i_0_1539, plain, (minus_minus(int,plus_plus(int,X1,X1),min)!=pls)). 3.79/1.76 cnf(i_0_894, plain, (plus_plus(int,X1,X1)!=minus_minus(int,plus_plus(int,X2,X2),min))). 3.79/1.76 cnf(i_0_1273, plain, (one_one(nat)!=zero_zero(nat))). 3.79/1.76 cnf(i_0_199, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X1)))). 3.79/1.76 cnf(i_0_507, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),pls)))). 3.79/1.76 cnf(i_0_1367, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),min)))). 3.79/1.76 cnf(i_0_1731, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),min)))). 3.79/1.76 cnf(i_0_794, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),min)))). 3.79/1.76 cnf(i_0_33, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),zero_zero(nat))))). 3.79/1.76 cnf(i_0_74, plain, (~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),X1),X1)))). 3.79/1.76 cnf(i_0_1612, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),pls)))). 3.79/1.76 cnf(i_0_1386, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),plus_plus(nat,X1,X2)),X2)))). 3.79/1.76 cnf(i_0_527, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),plus_plus(nat,X1,X2)),X1)))). 3.79/1.76 cnf(i_0_32, plain, (~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),plus_plus(real,abs_abs(real,X1),one_one(real))),X1)))). 3.79/1.76 cnf(i_0_1064, plain, (~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),times_times(real,zero_zero(real),zero_zero(real)))))). 3.79/1.76 cnf(i_0_473, plain, (~hBOOL(hAPP(int,bool,twoSqu658283162sum2sq,minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min))))). 3.79/1.76 cnf(i_0_1160, plain, (one_one(X1)!=zero_zero(X1)|~zero_neq_one(X1))). 3.79/1.76 cnf(i_0_1605, plain, (zero_zero(nat)=X1|hAPP(nat,int,semiring_1_of_nat(int),X1)!=pls)). 3.79/1.76 cnf(i_0_1579, plain, (hBOOL(X1)|~hBOOL(ti(bool,X1)))). 3.79/1.76 cnf(i_0_1011, plain, (number_number_of(X1,pls)=zero_zero(X1)|~number_semiring(X1))). 3.79/1.76 cnf(i_0_879, plain, (number_number_of(X1,pls)=zero_zero(X1)|~number_ring(X1))). 3.79/1.76 cnf(i_0_1499, plain, (zero_zero(nat)=X1|plus_plus(nat,X2,X1)!=X2)). 3.79/1.76 cnf(i_0_1580, plain, (hBOOL(ti(bool,X1))|~hBOOL(X1))). 3.79/1.76 cnf(i_0_1154, plain, (X1=zero_zero(nat)|plus_plus(nat,X1,X2)!=zero_zero(nat))). 3.79/1.76 cnf(i_0_1155, plain, (zero_zero(nat)=X1|plus_plus(nat,X2,X1)!=zero_zero(nat))). 3.79/1.76 cnf(i_0_979, plain, (X1=X2|plus_plus(nat,X3,X1)!=plus_plus(nat,X3,X2))). 3.79/1.76 cnf(i_0_1375, plain, (X1=X2|plus_plus(nat,X1,X3)!=plus_plus(nat,X2,X3))). 3.79/1.76 cnf(i_0_1592, plain, (ti(bool,X1)=fFalse|ti(bool,X1)=fTrue)). 3.79/1.76 cnf(i_0_470, plain, (X1=one_one(nat)|one_one(nat)!=times_times(nat,X2,X1))). 3.79/1.76 cnf(i_0_469, plain, (X1=one_one(nat)|one_one(nat)!=times_times(nat,X1,X2))). 3.79/1.76 cnf(i_0_1272, plain, (zero_zero(nat)=X1|hAPP(nat,nat,power_power(nat,X1),X2)!=zero_zero(nat))). 3.79/1.76 cnf(i_0_517, plain, (ti(X1,X2)=zero_zero(X1)|abs_abs(X1,X2)!=zero_zero(X1)|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_36, plain, (minus_minus(X1,X2,X2)=zero_zero(X1)|~group_add(X1))). 3.79/1.76 cnf(i_0_1341, plain, (abs_abs(X1,one_one(X1))=one_one(X1)|~linordered_idom(X1))). 3.79/1.76 cnf(i_0_352, plain, (abs_abs(X1,zero_zero(X1))=zero_zero(X1)|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_229, plain, (plus_plus(int,pls,X1)=min|minus_minus(int,plus_plus(int,X1,X1),min)!=min)). 3.79/1.76 cnf(i_0_248, plain, (ti(X1,zero_zero(X1))=zero_zero(X1)|~zero(X1))). 3.79/1.76 cnf(i_0_904, plain, (ti(X1,one_one(X1))=one_one(X1)|~one(X1))). 3.79/1.76 cnf(i_0_401, plain, (abs_abs(int,X1)=one_one(int)|plus_plus(int,pls,X1)!=one_one(int))). 3.79/1.76 cnf(i_0_402, plain, (abs_abs(int,X1)=one_one(int)|plus_plus(int,pls,X1)!=min)). 3.79/1.76 cnf(i_0_518, plain, (abs_abs(X1,X2)=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_1423, plain, (plus_plus(int,pls,X1)=pls|plus_plus(int,X1,X1)!=pls)). 3.79/1.76 cnf(i_0_1073, plain, (hAPP(nat,int,power_power(int,min),X1)=one_one(int)|hAPP(nat,int,power_power(int,min),X1)=min)). 3.79/1.76 cnf(i_0_1058, plain, (X1=X2|hAPP(nat,int,semiring_1_of_nat(int),X1)!=hAPP(nat,int,semiring_1_of_nat(int),X2))). 3.79/1.76 cnf(i_0_537, plain, (one_one(nat)=X1|X2=zero_zero(nat)|hAPP(nat,nat,power_power(nat,X1),X2)!=one_one(nat))). 3.79/1.76 cnf(i_0_228, plain, (minus_minus(int,plus_plus(int,X1,X1),min)=min|plus_plus(int,pls,X1)!=min)). 3.79/1.76 cnf(i_0_520, plain, (ti(fun(nat,X1),semiring_1_of_nat(X1))=semiring_1_of_nat(X1)|~semiring_1(X1))). 3.79/1.76 cnf(i_0_67, plain, (X1=X2|minus_minus(nat,X2,X1)!=zero_zero(nat)|minus_minus(nat,X1,X2)!=zero_zero(nat))). 3.79/1.76 cnf(i_0_1347, plain, (times_times(X1,X2,zero_zero(X1))=zero_zero(X1)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_493, plain, (times_times(X1,zero_zero(X1),X2)=zero_zero(X1)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_1635, plain, (times_times(X1,X2,zero_zero(X1))=zero_zero(X1)|~mult_zero(X1))). 3.79/1.76 cnf(i_0_1424, plain, (plus_plus(int,X1,X1)=pls|plus_plus(int,pls,X1)!=pls)). 3.79/1.76 cnf(i_0_1170, plain, (abs_abs(X1,number_number_of(X1,min))=one_one(X1)|~number_ring(X1)|~linordered_idom(X1))). 3.79/1.76 cnf(i_0_708, plain, (times_times(X1,zero_zero(X1),X2)=zero_zero(X1)|~mult_zero(X1))). 3.79/1.76 cnf(i_0_1475, plain, (abs_abs(int,X1)=one_one(int)|abs_abs(int,times_times(int,X1,X2))!=one_one(int))). 3.79/1.76 cnf(i_0_542, plain, (number_number_of(X1,one_one(int))=one_one(X1)|~number_ring(X1))). 3.79/1.76 cnf(i_0_1669, plain, (number_number_of(X1,one_one(int))=one_one(X1)|~number_semiring(X1))). 3.79/1.76 cnf(i_0_346, plain, (X1=zero_zero(nat)|X2=zero_zero(nat)|times_times(nat,X1,X2)!=zero_zero(nat))). 3.79/1.76 cnf(i_0_4, plain, (number_number_of(X1,plus_plus(int,pls,X2))=number_number_of(X1,X2)|~number(X1))). 3.79/1.76 cnf(i_0_1295, plain, (abs_abs(X1,abs_abs(X1,X2))=abs_abs(X1,X2)|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_1284, plain, (abs_abs(X1,ti(X1,X2))=abs_abs(X1,X2)|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_313, plain, (ti(X1,abs_abs(X1,X2))=abs_abs(X1,X2)|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_139, plain, (ti(X1,X2)=ti(X1,X3)|minus_minus(X1,X2,X3)!=zero_zero(X1)|~ab_group_add(X1))). 3.79/1.76 cnf(i_0_1094, plain, (abs_abs(int,X1)=one_one(int)|hAPP(nat,int,power_power(int,X1),plus_plus(nat,one_one(nat),one_one(nat)))!=one_one(int))). 3.79/1.76 cnf(i_0_1274, plain, (hAPP(nat,nat,power_power(nat,zero_zero(nat)),X1)=zero_zero(nat)|X1=zero_zero(nat))). 3.79/1.76 cnf(i_0_1186, plain, (ti(X1,number_number_of(X1,X2))=number_number_of(X1,X2)|~number(X1))). 3.79/1.76 cnf(i_0_118, plain, (ti(X1,X2)=ti(X1,X3)|minus_minus(X1,X2,X3)!=zero_zero(X1)|~group_add(X1))). 3.79/1.76 cnf(i_0_49, plain, (power_power(X1,ti(X1,X2))=power_power(X1,X2)|~power(X1))). 3.79/1.76 cnf(i_0_1639, plain, (plus_plus(X1,X2,zero_zero(X1))=ti(X1,X2)|~monoid_add(X1))). 3.79/1.76 cnf(i_0_925, plain, (minus_minus(X1,X2,zero_zero(X1))=ti(X1,X2)|~group_add(X1))). 3.79/1.76 cnf(i_0_403, plain, (plus_plus(int,pls,X1)=one_one(int)|plus_plus(int,pls,X1)=min|abs_abs(int,X1)!=one_one(int))). 3.79/1.76 cnf(i_0_873, plain, (plus_plus(X1,zero_zero(X1),X2)=ti(X1,X2)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_874, plain, (times_times(X1,one_one(X1),X2)=ti(X1,X2)|~monoid_mult(X1))). 3.79/1.76 cnf(i_0_677, plain, (plus_plus(X1,X2,zero_zero(X1))=ti(X1,X2)|~comm_monoid_add(X1))). 3.79/1.76 cnf(i_0_1246, plain, (plus_plus(X1,X2,zero_zero(X1))=ti(X1,X2)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_583, plain, (one_one(nat)=X1|X2=zero_zero(nat)|times_times(nat,X2,X1)!=X2)). 3.79/1.76 cnf(i_0_642, plain, (times_times(X1,X2,one_one(X1))=ti(X1,X2)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_137, plain, (times_times(X1,X2,one_one(X1))=ti(X1,X2)|~comm_monoid_mult(X1))). 3.79/1.76 cnf(i_0_1421, plain, (times_times(X1,X2,one_one(X1))=ti(X1,X2)|~monoid_mult(X1))). 3.79/1.76 cnf(i_0_329, plain, (plus_plus(X1,zero_zero(X1),X2)=ti(X1,X2)|~comm_monoid_add(X1))). 3.79/1.76 cnf(i_0_1379, plain, (plus_plus(X1,zero_zero(X1),X2)=ti(X1,X2)|~monoid_add(X1))). 3.79/1.76 cnf(i_0_176, plain, (times_times(X1,one_one(X1),X2)=ti(X1,X2)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_1707, plain, (times_times(X1,one_one(X1),X2)=ti(X1,X2)|~comm_monoid_mult(X1))). 3.79/1.76 cnf(i_0_1326, plain, (legendre(X1,X2)=pls|~hBOOL(hAPP(int,bool,zcong(X1,pls),X2)))). 3.79/1.76 cnf(i_0_259, plain, (ti(X1,X2)=zero_zero(X1)|plus_plus(X1,X2,X2)!=zero_zero(X1)|~linord219039673up_add(X1))). 3.79/1.76 cnf(i_0_444, plain, (ti(X1,X2)=zero_zero(X1)|hAPP(nat,X1,power_power(X1,X2),X3)!=zero_zero(X1)|~ring_11004092258visors(X1))). 3.79/1.76 cnf(i_0_209, plain, (hAPP(nat,X1,semiring_1_of_nat(X1),zero_zero(nat))=zero_zero(X1)|~semiring_1(X1))). 3.79/1.76 cnf(i_0_1033, plain, (X1=number_number_of(nat,X2)|plus_plus(int,pls,X2)!=hAPP(nat,int,semiring_1_of_nat(int),X1))). 3.79/1.76 cnf(i_0_880, plain, (hAPP(nat,X1,semiring_1_of_nat(X1),one_one(nat))=one_one(X1)|~semiring_1(X1))). 3.79/1.76 cnf(i_0_1727, plain, (hAPP(nat,X1,power_power(X1,X2),zero_zero(nat))=one_one(X1)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_1312, plain, (number_number_of(X1,X2)=number_number_of(X1,X3)|plus_plus(int,pls,X2)!=plus_plus(int,pls,X3)|~ring_char_0(X1)|~number_ring(X1))). 3.79/1.76 cnf(i_0_776, plain, (plus_plus(nat,one_one(nat),number_number_of(nat,X1))=one_one(nat)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 3.79/1.76 cnf(i_0_202, plain, (plus_plus(nat,number_number_of(nat,X1),one_one(nat))=one_one(nat)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 3.79/1.76 cnf(i_0_1313, plain, (plus_plus(int,pls,X1)=plus_plus(int,pls,X2)|number_number_of(X3,X1)!=number_number_of(X3,X2)|~ring_char_0(X3)|~number_ring(X3))). 3.79/1.76 cnf(i_0_138, plain, (minus_minus(X1,X2,X3)=zero_zero(X1)|ti(X1,X3)!=ti(X1,X2)|~ab_group_add(X1))). 3.79/1.76 cnf(i_0_119, plain, (minus_minus(X1,X2,X3)=zero_zero(X1)|ti(X1,X2)!=ti(X1,X3)|~group_add(X1))). 3.79/1.76 cnf(i_0_1481, plain, (ti(fun(nat,X1),power_power(X1,X2))=power_power(X1,X2)|~power(X1))). 3.79/1.76 cnf(i_0_219, plain, (number_number_of(nat,if(int,X1,X2,X3))=number_number_of(nat,X2)|~hBOOL(X1))). 3.79/1.76 cnf(i_0_654, plain, (X1=zero_zero(real)|X2=X3|times_times(real,X1,X2)!=times_times(real,X1,X3))). 3.79/1.76 cnf(i_0_1178, plain, (X1=zero_zero(nat)|X2=X3|times_times(nat,X2,X1)!=times_times(nat,X3,X1))). 3.79/1.76 cnf(i_0_845, plain, (zero_zero(nat)=X1|X2=X3|times_times(nat,X1,X2)!=times_times(nat,X1,X3))). 3.79/1.76 cnf(i_0_260, plain, (plus_plus(X1,X2,X2)=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~linord219039673up_add(X1))). 3.79/1.76 cnf(i_0_220, plain, (number_number_of(nat,if(int,X1,X2,X3))=number_number_of(nat,X3)|hBOOL(X1))). 3.79/1.76 cnf(i_0_181, plain, (zero_zero(real)=X1|X2=X3|times_times(real,X2,X1)!=times_times(real,X3,X1))). 3.79/1.76 cnf(i_0_893, plain, (times_times(X1,X2,X3)=zero_zero(X1)|ti(X1,X3)!=zero_zero(X1)|~ring_n68954251visors(X1))). 3.79/1.76 cnf(i_0_1622, plain, (hAPP(nat,X1,power_power(X1,one_one(X1)),X2)=one_one(X1)|~monoid_mult(X1))). 3.79/1.76 cnf(i_0_1358, plain, (X1=zero_zero(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),zero_zero(nat))))). 3.79/1.76 cnf(i_0_796, plain, (X1=one_one(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),one_one(nat))))). 3.79/1.76 cnf(i_0_242, plain, (number_number_of(nat,X1)=zero_zero(nat)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),pls)))). 3.79/1.76 cnf(i_0_892, plain, (times_times(X1,X2,X3)=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~ring_n68954251visors(X1))). 3.79/1.76 cnf(i_0_1630, plain, (hAPP(nat,X1,power_power(X1,X2),zero_zero(nat))!=zero_zero(X1)|~no_zero_divisors(X1)|~power(X1)|~zero_neq_one(X1)|~mult_zero(X1))). 3.79/1.76 cnf(i_0_1402, plain, (~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),zero_zero(X1))))). 3.79/1.76 cnf(i_0_1233, plain, (~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),one_one(X1)),zero_zero(X1))))). 3.79/1.76 cnf(i_0_1684, plain, (hAPP(nat,X1,power_power(X1,X2),zero_zero(nat))=one_one(X1)|~power(X1))). 3.79/1.76 cnf(i_0_1152, plain, (plus_plus(X1,X2,number_number_of(X1,pls))=ti(X1,X2)|~number_ring(X1))). 3.79/1.76 cnf(i_0_974, plain, (plus_plus(X1,number_number_of(X1,pls),X2)=ti(X1,X2)|~number_ring(X1))). 3.79/1.76 cnf(i_0_283, plain, (X1=zero_zero(real)|plus_plus(real,times_times(real,X2,X2),times_times(real,X1,X1))!=zero_zero(real))). 3.79/1.76 cnf(i_0_282, plain, (X1=zero_zero(real)|plus_plus(real,times_times(real,X1,X1),times_times(real,X2,X2))!=zero_zero(real))). 3.79/1.76 cnf(i_0_655, plain, (hAPP(nat,X1,power_power(X1,X2),one_one(nat))=ti(X1,X2)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_156, plain, (one_one(int)=plus_plus(int,pls,X1)|plus_plus(int,pls,X1)=min|times_times(int,X1,X2)!=one_one(int))). 3.79/1.76 cnf(i_0_950, plain, (plus_plus(int,pls,X1)=one_one(int)|plus_plus(int,pls,X1)=min|one_one(int)!=times_times(int,X2,X1))). 3.79/1.76 cnf(i_0_442, plain, (ti(fun(X1,fun(X1,bool)),ord_less(X1))=ord_less(X1)|~order(X1))). 3.79/1.76 cnf(i_0_1573, plain, (hAPP(nat,X1,power_power(X1,X2),one_one(nat))=ti(X1,X2)|~monoid_mult(X1))). 3.79/1.76 cnf(i_0_1468, plain, (X1=X2|hAPP(nat,X3,semiring_1_of_nat(X3),X1)!=hAPP(nat,X3,semiring_1_of_nat(X3),X2)|~semiring_char_0(X3))). 3.79/1.76 cnf(i_0_829, plain, (plus_plus(X1,X2,X3)=plus_plus(X1,X3,X2)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_1323, plain, (times_times(X1,X2,X3)=times_times(X1,X3,X2)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_1264, plain, (~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),abs_abs(X1,X2)),zero_zero(X1))))). 3.79/1.76 cnf(i_0_1650, plain, (X1=zero_zero(nat)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),pls)))). 3.79/1.76 cnf(i_0_958, plain, (plus_plus(int,pls,X1)=plus_plus(int,pls,X2)|minus_minus(int,plus_plus(int,X1,X1),min)!=minus_minus(int,plus_plus(int,X2,X2),min))). 3.79/1.76 cnf(i_0_604, plain, (ti(fun(X1,fun(X1,bool)),ord_less_eq(X1))=ord_less_eq(X1)|~order(X1))). 3.79/1.76 cnf(i_0_1147, plain, (ti(X1,X2)=zero_zero(X1)|ti(X1,X3)!=plus_plus(X1,X3,X2)|~semiri456707255roduct(X1))). 3.79/1.76 cnf(i_0_1674, plain, (plus_plus(X1,X2,ti(X1,X3))=plus_plus(X1,X2,X3)|~cancel_semigroup_add(X1))). 3.79/1.76 cnf(i_0_1453, plain, (plus_plus(X1,X2,ti(X1,X3))=plus_plus(X1,X2,X3)|~monoid_add(X1))). 3.79/1.76 cnf(i_0_1641, plain, (plus_plus(X1,X2,ti(X1,X3))=plus_plus(X1,X2,X3)|~ab_semigroup_add(X1))). 3.79/1.76 cnf(i_0_946, plain, (one_one(int)=times_times(int,X1,X2)|plus_plus(int,pls,X1)!=one_one(int)|plus_plus(int,pls,X2)!=one_one(int))). 3.79/1.76 cnf(i_0_945, plain, (one_one(int)=times_times(int,X1,X2)|plus_plus(int,pls,X2)!=min|plus_plus(int,pls,X1)!=min)). 3.79/1.76 cnf(i_0_683, plain, (ti(fun(X1,fun(X1,bool)),dvd_dvd(X1))=dvd_dvd(X1)|~dvd(X1))). 3.79/1.76 cnf(i_0_447, plain, (times_times(X1,X2,ti(X1,X3))=times_times(X1,X2,X3)|~dvd(X1))). 3.79/1.76 cnf(i_0_1694, plain, (times_times(X1,X2,ti(X1,X3))=times_times(X1,X2,X3)|~power(X1))). 3.79/1.76 cnf(i_0_110, plain, (minus_minus(X1,ti(X1,X2),X3)=minus_minus(X1,X2,X3)|~group_add(X1))). 3.79/1.76 cnf(i_0_353, plain, (times_times(X1,ti(X1,X2),X3)=times_times(X1,X2,X3)|~ab_semigroup_mult(X1))). 3.79/1.76 cnf(i_0_738, plain, (plus_plus(X1,one_one(X1),number_number_of(X1,X2))=number_number_of(X1,minus_minus(int,X2,min))|~number_ring(X1))). 3.79/1.76 cnf(i_0_1244, plain, (abs_abs(int,X1)=one_one(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),one_one(int))))). 3.79/1.76 cnf(i_0_1148, plain, (ti(X1,X2)=plus_plus(X1,X2,X3)|ti(X1,X3)!=zero_zero(X1)|~semiri456707255roduct(X1))). 3.79/1.76 cnf(i_0_1680, plain, (times_times(X1,ti(X1,X2),X3)=times_times(X1,X2,X3)|~no_zero_divisors(X1))). 3.79/1.76 cnf(i_0_1048, plain, (minus_minus(X1,X2,ti(X1,X3))=minus_minus(X1,X2,X3)|~group_add(X1))). 3.79/1.76 cnf(i_0_1531, plain, (times_times(X1,X2,ti(X1,X3))=times_times(X1,X2,X3)|~mult_zero(X1))). 3.79/1.76 cnf(i_0_1574, plain, (times_times(X1,X2,ti(X1,X3))=times_times(X1,X2,X3)|~ab_semigroup_mult(X1))). 3.79/1.76 cnf(i_0_948, plain, (plus_plus(int,pls,X1)=one_one(int)|plus_plus(int,pls,X2)=min|one_one(int)!=times_times(int,X1,X2))). 3.79/1.76 cnf(i_0_173, plain, (times_times(X1,X2,ti(X1,X3))=times_times(X1,X2,X3)|~semiring(X1))). 3.79/1.76 cnf(i_0_1037, plain, (times_times(X1,X2,ti(X1,X3))=times_times(X1,X2,X3)|~no_zero_divisors(X1))). 3.79/1.76 cnf(i_0_231, plain, (plus_plus(X1,ti(X1,X2),X3)=plus_plus(X1,X2,X3)|~cancel_semigroup_add(X1))). 3.79/1.76 cnf(i_0_225, plain, (plus_plus(X1,ti(X1,X2),X3)=plus_plus(X1,X2,X3)|~monoid_add(X1))). 3.79/1.76 cnf(i_0_949, plain, (plus_plus(int,pls,X1)=one_one(int)|plus_plus(int,pls,X2)=min|one_one(int)!=times_times(int,X2,X1))). 3.79/1.76 cnf(i_0_1199, plain, (plus_plus(X1,ti(X1,X2),X3)=plus_plus(X1,X2,X3)|~ab_semigroup_add(X1))). 3.79/1.76 cnf(i_0_8, plain, (times_times(X1,ti(X1,X2),X3)=times_times(X1,X2,X3)|~dvd(X1))). 3.79/1.76 cnf(i_0_1286, plain, (times_times(X1,ti(X1,X2),X3)=times_times(X1,X2,X3)|~mult_zero(X1))). 3.79/1.76 cnf(i_0_701, plain, (times_times(X1,ti(X1,X2),X3)=times_times(X1,X2,X3)|~power(X1))). 3.79/1.76 cnf(i_0_1174, plain, (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)))). 3.79/1.76 cnf(i_0_1712, plain, (hAPP(nat,int,semiring_1_of_nat(int),if(nat,X1,X2,X3))=hAPP(nat,int,semiring_1_of_nat(int),X2)|~hBOOL(X1))). 3.79/1.76 cnf(i_0_649, plain, (plus_plus(int,pls,X1)=plus_plus(int,pls,X2)|~hBOOL(hAPP(int,bool,zcong(X1,X2),pls)))). 3.79/1.76 cnf(i_0_414, plain, (ti(X1,X2)=zero_zero(X1)|ti(X1,X3)=zero_zero(X1)|times_times(X1,X2,X3)!=zero_zero(X1)|~no_zero_divisors(X1))). 3.79/1.76 cnf(i_0_1474, plain, (times_times(X1,ti(X1,X2),X3)=times_times(X1,X2,X3)|~semiring(X1))). 3.79/1.76 cnf(i_0_1621, plain, (ti(X1,plus_plus(X1,X2,X3))=plus_plus(X1,X2,X3)|~cancel_semigroup_add(X1))). 3.79/1.76 cnf(i_0_593, plain, (ti(X1,plus_plus(X1,X2,X3))=plus_plus(X1,X2,X3)|~monoid_add(X1))). 3.79/1.76 cnf(i_0_1224, plain, (ti(X1,minus_minus(X1,X2,X3))=minus_minus(X1,X2,X3)|~group_add(X1))). 3.79/1.76 cnf(i_0_1040, plain, (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)))). 3.79/1.76 cnf(i_0_611, plain, (minus_minus(nat,X1,X2)=zero_zero(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 3.79/1.76 cnf(i_0_839, plain, (ti(X1,times_times(X1,X2,X3))=times_times(X1,X2,X3)|~dvd(X1))). 3.79/1.76 cnf(i_0_1708, plain, (ti(X1,times_times(X1,X2,X3))=times_times(X1,X2,X3)|~ab_semigroup_mult(X1))). 3.79/1.76 cnf(i_0_1247, plain, (ti(X1,times_times(X1,X2,X3))=times_times(X1,X2,X3)|~semiring(X1))). 3.79/1.76 cnf(i_0_769, plain, (ti(X1,plus_plus(X1,X2,X3))=plus_plus(X1,X2,X3)|~ab_semigroup_add(X1))). 3.79/1.76 cnf(i_0_261, plain, (hAPP(nat,X1,power_power(X1,zero_zero(X1)),plus_plus(nat,one_one(nat),one_one(nat)))=zero_zero(X1)|~semiring_1(X1))). 3.79/1.76 cnf(i_0_82, plain, (hAPP(nat,X1,power_power(X1,one_one(X1)),plus_plus(nat,one_one(nat),one_one(nat)))=one_one(X1)|~semiring_1(X1))). 3.79/1.76 cnf(i_0_891, plain, (ti(X1,X2)=zero_zero(X1)|ti(X1,X3)=zero_zero(X1)|times_times(X1,X2,X3)!=zero_zero(X1)|~ring_n68954251visors(X1))). 3.79/1.76 cnf(i_0_70, plain, (minus_minus(X1,plus_plus(X1,X2,X3),X3)=ti(X1,X2)|~group_add(X1))). 3.79/1.76 cnf(i_0_271, plain, (ti(X1,times_times(X1,X2,X3))=times_times(X1,X2,X3)|~mult_zero(X1))). 3.79/1.76 cnf(i_0_668, plain, (ti(X1,times_times(X1,X2,X3))=times_times(X1,X2,X3)|~power(X1))). 3.79/1.76 cnf(i_0_1352, plain, (ti(X1,times_times(X1,X2,X3))=times_times(X1,X2,X3)|~no_zero_divisors(X1))). 3.79/1.76 cnf(i_0_551, plain, (ti(X1,X2)=zero_zero(X1)|plus_plus(X1,times_times(X1,X3,X3),times_times(X1,X2,X2))!=zero_zero(X1)|~linord581940658strict(X1))). 3.79/1.76 cnf(i_0_1728, plain, (plus_plus(X1,minus_minus(X1,X2,X3),X3)=ti(X1,X2)|~group_add(X1))). 3.79/1.76 cnf(i_0_1282, plain, (plus_plus(int,pls,X1)=plus_plus(int,pls,X2)|plus_plus(int,X1,X1)!=plus_plus(int,X2,X2))). 3.79/1.76 cnf(i_0_881, plain, (plus_plus(int,X1,X2)=plus_plus(int,pls,X3)|plus_plus(int,pls,X1)!=minus_minus(int,X3,X2))). 3.79/1.76 cnf(i_0_504, plain, (plus_plus(X1,one_one(X1),one_one(X1))=number_number_of(X1,minus_minus(int,one_one(int),min))|~number_semiring(X1))). 3.79/1.76 cnf(i_0_333, plain, (plus_plus(X1,one_one(X1),one_one(X1))=number_number_of(X1,minus_minus(int,one_one(int),min))|~number_ring(X1))). 3.79/1.76 cnf(i_0_1283, plain, (plus_plus(int,X1,X1)=plus_plus(int,X2,X2)|plus_plus(int,pls,X1)!=plus_plus(int,pls,X2))). 3.79/1.76 cnf(i_0_550, plain, (ti(X1,X2)=zero_zero(X1)|plus_plus(X1,times_times(X1,X2,X2),times_times(X1,X3,X3))!=zero_zero(X1)|~linord581940658strict(X1))). 3.79/1.76 cnf(i_0_1705, plain, (~linordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X2)),zero_zero(X1))))). 3.79/1.76 cnf(i_0_1428, plain, (plus_plus(int,pls,X1)!=plus_plus(int,pls,X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 3.79/1.76 cnf(i_0_930, plain, (hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,X3))!=zero_zero(X1)|number_number_of(nat,X3)!=zero_zero(nat)|~no_zero_divisors(X1)|~power(X1)|~zero_neq_one(X1)|~mult_zero(X1))). 3.79/1.76 cnf(i_0_1372, plain, (plus_plus(int,pls,X1)=pls|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),abs_abs(int,X1)),one_one(int))))). 3.79/1.76 cnf(i_0_590, plain, (abs_abs(int,X1)=abs_abs(int,X2)|hAPP(nat,int,power_power(int,X1),plus_plus(nat,one_one(nat),one_one(nat)))!=hAPP(nat,int,power_power(int,X2),plus_plus(nat,one_one(nat),one_one(nat))))). 3.79/1.76 cnf(i_0_408, plain, (hAPP(nat,int,semiring_1_of_nat(int),number_number_of(nat,X1))=plus_plus(int,pls,X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.76 cnf(i_0_1584, plain, (plus_plus(X1,X2,X3)=plus_plus(X1,X2,X4)|ti(X1,X3)!=ti(X1,X4)|~cancel_semigroup_add(X1))). 3.79/1.76 cnf(i_0_1631, plain, (ti(X1,X2)=zero_zero(X1)|hAPP(nat,X1,power_power(X1,X2),X3)!=zero_zero(X1)|~no_zero_divisors(X1)|~power(X1)|~zero_neq_one(X1)|~mult_zero(X1))). 3.79/1.76 cnf(i_0_279, plain, (ti(X1,X2)!=zero_zero(X1)|~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),abs_abs(X1,X2))))). 3.79/1.76 cnf(i_0_446, plain, (~linordered_semidom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),zero_zero(X1))))). 3.79/1.76 cnf(i_0_1039, plain, (times_times(X1,abs_abs(X1,X2),abs_abs(X1,X2))=times_times(X1,X2,X2)|~linordered_idom(X1))). 3.79/1.76 cnf(i_0_811, plain, (hAPP(nat,int,semiring_1_of_nat(int),esk24_1(X1))=plus_plus(int,pls,X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X1)))). 3.79/1.76 cnf(i_0_1711, plain, (hAPP(nat,int,semiring_1_of_nat(int),if(nat,X1,X2,X3))=hAPP(nat,int,semiring_1_of_nat(int),X3)|hBOOL(X1))). 3.79/1.76 cnf(i_0_1730, plain, (times_times(nat,X1,hAPP(nat,nat,power_power(nat,X1),minus_minus(nat,X2,one_one(nat))))=hAPP(nat,nat,power_power(nat,X1),X2)|X2=zero_zero(nat))). 3.79/1.76 cnf(i_0_1215, plain, (plus_plus(X1,X2,X3)=plus_plus(X1,X4,X3)|ti(X1,X2)!=ti(X1,X4)|~cancel_semigroup_add(X1))). 3.79/1.76 cnf(i_0_585, plain, (hAPP(X1,bool,X2,ti(X1,X3))=hAPP(X1,bool,X2,X3)|~dvd(X1))). 3.79/1.76 cnf(i_0_595, plain, (hAPP(X1,bool,X2,ti(X1,X3))=hAPP(X1,bool,X2,X3)|~order(X1))). 3.79/1.76 cnf(i_0_496, plain, (ti(X1,hAPP(nat,X1,X2,X3))=hAPP(nat,X1,X2,X3)|~power(X1))). 3.79/1.76 cnf(i_0_899, plain, (hBOOL(hAPP(nat,bool,X1,X2))|~hBOOL(hAPP(nat,bool,X1,number_number_of(nat,esk27_1(X1)))))). 3.79/1.76 cnf(i_0_34, plain, (ti(X1,X2)=ti(X1,X3)|plus_plus(X1,X4,X2)!=plus_plus(X1,X4,X3)|~cancel_semigroup_add(X1))). 3.79/1.76 cnf(i_0_1394, 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)))). 3.79/1.76 cnf(i_0_799, plain, (abs_abs(X1,X2)=ti(X1,X2)|~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X2)))). 3.79/1.76 cnf(i_0_472, plain, (abs_abs(X1,X2)=ti(X1,X2)|~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))). 3.79/1.76 cnf(i_0_1146, plain, (hAPP(nat,X1,X2,ti(nat,X3))=hAPP(nat,X1,X2,X3)|~power(X1))). 3.79/1.76 cnf(i_0_777, plain, (plus_plus(nat,one_one(nat),number_number_of(nat,X1))=number_number_of(nat,minus_minus(int,X1,min))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 3.79/1.76 cnf(i_0_203, plain, (plus_plus(nat,number_number_of(nat,X1),one_one(nat))=number_number_of(nat,minus_minus(int,X1,min))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 3.79/1.76 cnf(i_0_648, plain, (hBOOL(hAPP(int,bool,zcong(X1,X2),pls))|plus_plus(int,pls,X1)!=plus_plus(int,pls,X2))). 3.79/1.76 cnf(i_0_896, plain, (ti(X1,X2)=ti(X1,X3)|plus_plus(X1,X4,X2)!=plus_plus(X1,X4,X3)|~cancel146912293up_add(X1))). 3.79/1.76 cnf(i_0_103, plain, (ti(X1,X2)=ti(X1,X3)|plus_plus(X1,X2,X4)!=plus_plus(X1,X3,X4)|~cancel_semigroup_add(X1))). 3.79/1.76 cnf(i_0_158, plain, (plus_plus(nat,X1,times_times(nat,minus_minus(nat,X2,one_one(nat)),X1))=times_times(nat,X2,X1)|X2=zero_zero(nat))). 3.79/1.76 cnf(i_0_407, plain, (hAPP(nat,int,semiring_1_of_nat(int),number_number_of(nat,X1))=pls|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.76 cnf(i_0_349, plain, (ti(X1,X2)=ti(X1,X3)|minus_minus(X1,X4,X5)!=minus_minus(X1,X2,X3)|ti(X1,X4)!=ti(X1,X5)|~ab_group_add(X1))). 3.79/1.76 cnf(i_0_171, plain, (times_times(X1,times_times(X1,X2,X3),X4)=times_times(X1,X2,times_times(X1,X3,X4))|~ab_semigroup_mult(X1))). 3.79/1.76 cnf(i_0_42, plain, (plus_plus(X1,plus_plus(X1,X2,X3),X4)=plus_plus(X1,X2,plus_plus(X1,X3,X4))|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_298, plain, (plus_plus(X1,number_number_of(X1,X2),number_number_of(X1,X3))=number_number_of(X1,plus_plus(int,X2,X3))|~number_ring(X1))). 3.79/1.76 cnf(i_0_554, plain, (number_number_of(X1,hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,X1,semiring_1_of_nat(X1),X2)|~number_semiring(X1))). 3.79/1.76 cnf(i_0_895, plain, (plus_plus(nat,X1,minus_minus(nat,X2,X1))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 3.79/1.76 cnf(i_0_838, plain, (minus_minus(X1,number_number_of(X1,X2),number_number_of(X1,X3))=number_number_of(X1,minus_minus(int,X2,X3))|~number_ring(X1))). 3.79/1.76 cnf(i_0_528, plain, (plus_plus(X1,plus_plus(X1,X2,X3),X4)=plus_plus(X1,X2,plus_plus(X1,X3,X4))|~ab_semigroup_add(X1))). 3.79/1.76 cnf(i_0_68, plain, (times_times(X1,times_times(X1,X2,X3),X4)=times_times(X1,X2,times_times(X1,X3,X4))|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_1081, plain, (abs_abs(X1,hAPP(nat,X1,semiring_1_of_nat(X1),X2))=hAPP(nat,X1,semiring_1_of_nat(X1),X2)|~linordered_idom(X1))). 3.79/1.76 cnf(i_0_747, plain, (minus_minus(nat,X1,minus_minus(nat,X1,X2))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))). 3.79/1.76 cnf(i_0_957, plain, (minus_minus(int,plus_plus(int,X1,X1),min)=minus_minus(int,plus_plus(int,X2,X2),min)|plus_plus(int,pls,X1)!=plus_plus(int,pls,X2))). 3.79/1.76 cnf(i_0_320, plain, (times_times(X1,number_number_of(X1,X2),number_number_of(X1,X3))=number_number_of(X1,times_times(int,X2,X3))|~number_ring(X1))). 3.79/1.76 cnf(i_0_2, plain, (ti(bool,hAPP(X1,bool,X2,X3))=hAPP(X1,bool,X2,X3)|~dvd(X1))). 3.79/1.76 cnf(i_0_1588, plain, (ti(bool,hAPP(X1,bool,X2,X3))=hAPP(X1,bool,X2,X3)|~order(X1))). 3.79/1.76 cnf(i_0_594, plain, (times_times(X1,abs_abs(X1,X2),abs_abs(X1,X3))=abs_abs(X1,times_times(X1,X2,X3))|~linordered_idom(X1))). 3.79/1.76 cnf(i_0_241, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),pls))|number_number_of(nat,X1)!=zero_zero(nat))). 3.79/1.76 cnf(i_0_1131, plain, (ti(X1,X2)=zero_zero(X1)|~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),abs_abs(X1,X2)),zero_zero(X1))))). 3.79/1.76 cnf(i_0_1236, plain, (hBOOL(hAPP(nat,bool,X1,number_number_of(nat,X2)))|~hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X1,esk32_2(X1,X2))))). 3.79/1.76 cnf(i_0_268, plain, (plus_plus(nat,X1,esk14_2(X1,X2))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 3.79/1.76 cnf(i_0_673, plain, (plus_plus(nat,X1,esk20_2(X1,X2))=X2|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 3.79/1.76 cnf(i_0_249, plain, (times_times(X1,X2,number_number_of(X1,one_one(int)))=ti(X1,X2)|~number_ring(X1))). 3.79/1.76 cnf(i_0_944, plain, (times_times(X1,number_number_of(X1,one_one(int)),X2)=ti(X1,X2)|~number_ring(X1))). 3.79/1.76 cnf(i_0_314, plain, (plus_plus(X1,X2,X2)=times_times(X1,plus_plus(X1,one_one(X1),one_one(X1)),X2)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_244, plain, (hBOOL(hAPP(nat,bool,X1,number_number_of(nat,esk11_1(X1))))|~hBOOL(hAPP(nat,bool,X1,X2)))). 3.79/1.76 cnf(i_0_1547, plain, (~linordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,times_times(X1,X2,X2),times_times(X1,X3,X3))),zero_zero(X1))))). 3.79/1.76 cnf(i_0_1346, plain, (abs_abs(X1,minus_minus(X1,X2,X3))=abs_abs(X1,minus_minus(X1,X3,X2))|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_684, plain, (hBOOL(hAPP(int,bool,zcong(X1,X2),X3))|~hBOOL(hAPP(int,bool,zcong(X2,X1),X3)))). 3.79/1.76 cnf(i_0_53, plain, (hBOOL(hAPP(int,bool,zprime,X1))|plus_plus(int,pls,esk2_1(X1))!=one_one(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1)))). 3.79/1.76 cnf(i_0_997, plain, (hAPP(nat,X1,ti(fun(nat,X1),X2),X3)=hAPP(nat,X1,X2,X3)|~power(X1))). 3.79/1.76 cnf(i_0_903, plain, (X1=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 3.79/1.76 cnf(i_0_905, plain, (hAPP(X1,bool,ti(fun(X1,bool),X2),X3)=hAPP(X1,bool,X2,X3)|~dvd(X1))). 3.79/1.76 cnf(i_0_832, plain, (hAPP(X1,bool,ti(fun(X1,bool),X2),X3)=hAPP(X1,bool,X2,X3)|~order(X1))). 3.79/1.76 cnf(i_0_54, plain, (hBOOL(hAPP(int,bool,zprime,X1))|plus_plus(int,pls,esk2_1(X1))!=plus_plus(int,pls,X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1)))). 3.79/1.76 cnf(i_0_1327, plain, (legendre(X1,X2)=one_one(int)|hBOOL(hAPP(int,bool,zcong(X1,pls),X2))|~hBOOL(hAPP(int,bool,quadRes(X2),X1)))). 3.79/1.76 cnf(i_0_295, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),minus_minus(int,one_one(int),min)),X1))|~hBOOL(hAPP(int,bool,zcong(one_one(int),min),X1)))). 3.79/1.76 cnf(i_0_1175, plain, (plus_plus(X1,times_times(X1,X2,X3),times_times(X1,X2,X4))=times_times(X1,X2,plus_plus(X1,X3,X4))|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_1552, plain, (plus_plus(X1,times_times(X1,X2,X3),times_times(X1,X4,X3))=times_times(X1,plus_plus(X1,X2,X4),X3)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_98, plain, (hBOOL(hAPP(nat,bool,X1,minus_minus(nat,X2,X3)))|~hBOOL(hAPP(nat,bool,X1,esk3_3(X1,X2,X3)))|~hBOOL(hAPP(nat,bool,X1,zero_zero(nat))))). 3.79/1.76 cnf(i_0_1243, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),one_one(int)))|abs_abs(int,X1)!=one_one(int))). 3.79/1.76 cnf(i_0_754, plain, (plus_plus(X1,one_one(X1),number_number_of(X1,X2))=number_number_of(X1,plus_plus(int,one_one(int),X2))|~number_ring(X1))). 3.79/1.76 cnf(i_0_571, plain, (plus_plus(X1,number_number_of(X1,X2),one_one(X1))=number_number_of(X1,minus_minus(int,X2,min))|~number_ring(X1))). 3.79/1.76 cnf(i_0_1628, plain, (hAPP(nat,X1,power_power(X1,zero_zero(X1)),X2)=zero_zero(X1)|zero_zero(nat)=X2|~semiring_0(X1)|~power(X1))). 3.79/1.76 cnf(i_0_1435, plain, (hBOOL(hAPP(nat,bool,X1,minus_minus(nat,X2,X3)))|~hBOOL(hAPP(nat,bool,X1,esk35_3(X1,X2,X3)))|~hBOOL(hAPP(nat,bool,X1,zero_zero(nat))))). 3.79/1.76 cnf(i_0_837, plain, (hAPP(X1,fun(X1,bool),X2,ti(X1,X3))=hAPP(X1,fun(X1,bool),X2,X3)|~order(X1))). 3.79/1.76 cnf(i_0_592, plain, (hAPP(X1,fun(X1,bool),X2,ti(X1,X3))=hAPP(X1,fun(X1,bool),X2,X3)|~dvd(X1))). 3.79/1.76 cnf(i_0_1121, plain, (hBOOL(hAPP(int,bool,X1,esk30_1(X1)))|~hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),X2))))). 3.79/1.76 cnf(i_0_984, plain, (X1=zero_zero(nat)|plus_plus(int,pls,X2)!=pls|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(nat,int,power_power(int,abs_abs(int,X2)),X1))))). 3.79/1.76 cnf(i_0_519, plain, (minus_minus(int,hAPP(nat,int,semiring_1_of_nat(int),X1),hAPP(nat,int,semiring_1_of_nat(int),X2))=hAPP(nat,int,semiring_1_of_nat(int),minus_minus(nat,X1,X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))). 3.79/1.76 cnf(i_0_1107, plain, (plus_plus(X1,X2,plus_plus(X1,X3,X4))=plus_plus(X1,X3,plus_plus(X1,X2,X4))|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_1490, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X2))|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_196, plain, (hBOOL(hAPP(int,bool,zcong(X1,X2),X3))|plus_plus(int,X1,times_times(int,X3,X4))!=plus_plus(int,pls,X2))). 3.79/1.76 cnf(i_0_1602, plain, (hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat)))=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~ring_11004092258visors(X1))). 3.79/1.76 cnf(i_0_1287, plain, (plus_plus(int,pls,X1)=one_one(int)|one_one(int)!=times_times(int,X1,X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X1)))). 3.79/1.76 cnf(i_0_237, plain, (hAPP(nat,X1,power_power(X1,zero_zero(X1)),number_number_of(nat,X2))=one_one(X1)|number_number_of(nat,X2)!=zero_zero(nat)|~semiring_0(X1)|~power(X1))). 3.79/1.76 cnf(i_0_1577, plain, (times_times(X1,X2,times_times(X1,X3,X4))=times_times(X1,X3,times_times(X1,X2,X4))|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_155, plain, (X1=X2|times_times(nat,X3,X1)!=times_times(nat,X3,X2)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))). 3.79/1.76 cnf(i_0_1620, plain, (plus_plus(X1,times_times(X1,X2,X3),times_times(X1,X4,X3))=times_times(X1,plus_plus(X1,X2,X4),X3)|~comm_semiring(X1))). 3.79/1.76 cnf(i_0_932, plain, (abs_abs(X1,hAPP(nat,X1,power_power(X1,number_number_of(X1,min)),X2))=one_one(X1)|~number_ring(X1)|~linordered_idom(X1))). 3.79/1.76 cnf(i_0_1454, plain, (plus_plus(X1,plus_plus(X1,X2,X3),X4)=plus_plus(X1,plus_plus(X1,X2,X4),X3)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_917, plain, (times_times(nat,number_number_of(nat,X1),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)))). 3.79/1.76 cnf(i_0_872, plain, (number_number_of(nat,hAPP(nat,int,power_power(int,X1),X2))=hAPP(nat,nat,power_power(nat,number_number_of(nat,X1)),X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.76 cnf(i_0_813, plain, (times_times(X1,times_times(X1,X2,X3),X4)=times_times(X1,times_times(X1,X2,X4),X3)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_552, plain, (plus_plus(X1,times_times(X1,X2,X2),times_times(X1,X3,X3))=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|ti(X1,X3)!=zero_zero(X1)|~linord581940658strict(X1))). 3.79/1.76 cnf(i_0_790, plain, (abs_abs(X1,hAPP(nat,X1,power_power(X1,X2),X3))=hAPP(nat,X1,power_power(X1,abs_abs(X1,X2)),X3)|~linordered_idom(X1))). 3.79/1.76 cnf(i_0_760, plain, (hBOOL(hAPP(X1,bool,X2,esk21_3(X1,X2,X3)))|~semiring_0(X1)|~dvd(X1)|~hBOOL(hAPP(X1,bool,X2,times_times(X1,X3,X4))))). 3.79/1.76 cnf(i_0_1609, plain, (hBOOL(hAPP(int,bool,twoSqu658283162sum2sq,times_times(int,X1,X2)))|~hBOOL(hAPP(int,bool,twoSqu658283162sum2sq,X2))|~hBOOL(hAPP(int,bool,twoSqu658283162sum2sq,X1)))). 3.79/1.76 cnf(i_0_614, plain, (hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(int,bool,X1,esk19_1(X1))))). 3.79/1.76 cnf(i_0_436, plain, (number_number_of(X1,plus_plus(int,X2,X2))=times_times(X1,plus_plus(X1,one_one(X1),one_one(X1)),number_number_of(X1,X2))|~number_ring(X1))). 3.79/1.76 cnf(i_0_972, plain, (hBOOL(hAPP(int,bool,zcong(X1,X2),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X3),minus_minus(int,X1,X2))))). 3.79/1.76 cnf(i_0_922, plain, (abs_abs(X1,plus_plus(X1,abs_abs(X1,X2),abs_abs(X1,X3)))=plus_plus(X1,abs_abs(X1,X2),abs_abs(X1,X3))|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_610, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|minus_minus(nat,X1,X2)!=zero_zero(nat))). 3.79/1.76 cnf(i_0_563, plain, (hAPP(nat,X1,power_power(X1,number_number_of(X1,min)),times_times(nat,plus_plus(nat,one_one(nat),one_one(nat)),X2))=one_one(X1)|~number_ring(X1))). 3.79/1.76 cnf(i_0_1013, plain, (minus_minus(nat,X1,minus_minus(nat,X2,X3))=minus_minus(nat,plus_plus(nat,X1,X3),X2)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)))). 3.79/1.76 cnf(i_0_1632, plain, (hAPP(nat,X1,power_power(X1,X2),X3)=zero_zero(X1)|X3=zero_zero(nat)|ti(X1,X2)!=zero_zero(X1)|~no_zero_divisors(X1)|~power(X1)|~zero_neq_one(X1)|~mult_zero(X1))). 3.79/1.76 cnf(i_0_195, plain, (plus_plus(int,X1,times_times(int,X2,esk7_3(X1,X3,X2)))=plus_plus(int,pls,X3)|~hBOOL(hAPP(int,bool,zcong(X1,X3),X2)))). 3.79/1.76 cnf(i_0_501, 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)),plus_plus(X1,times_times(X1,X3,X3),times_times(X1,X2,X2)))))). 3.79/1.76 cnf(i_0_452, plain, (ti(X1,X2)=zero_zero(X1)|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,times_times(X1,X2,X2),times_times(X1,X3,X3))),zero_zero(X1))))). 3.79/1.76 cnf(i_0_451, plain, (ti(X1,X2)=zero_zero(X1)|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,times_times(X1,X3,X3),times_times(X1,X2,X2))),zero_zero(X1))))). 3.79/1.76 cnf(i_0_658, plain, (minus_minus(nat,plus_plus(nat,X1,X2),X3)=plus_plus(nat,X1,minus_minus(nat,X2,X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)))). 3.79/1.76 cnf(i_0_1008, plain, (minus_minus(nat,plus_plus(nat,X1,X2),X3)=plus_plus(nat,minus_minus(nat,X1,X3),X2)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X1)))). 3.79/1.76 cnf(i_0_1330, plain, (plus_plus(X1,times_times(X1,X2,X3),X3)=times_times(X1,plus_plus(X1,X2,one_one(X1)),X3)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_1451, plain, (plus_plus(X1,minus_minus(X1,X2,X3),minus_minus(X1,X4,X5))=minus_minus(X1,plus_plus(X1,X2,X4),plus_plus(X1,X3,X5))|~ab_group_add(X1))). 3.79/1.76 cnf(i_0_877, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),zero_zero(X1)))|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_1095, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),one_one(X1)),X2))|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_80, plain, (plus_plus(nat,X1,minus_minus(nat,X2,X1))=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1)))). 3.79/1.76 cnf(i_0_591, plain, (hAPP(nat,int,power_power(int,X1),plus_plus(nat,one_one(nat),one_one(nat)))=hAPP(nat,int,power_power(int,X2),plus_plus(nat,one_one(nat),one_one(nat)))|abs_abs(int,X1)!=abs_abs(int,X2))). 3.79/1.76 cnf(i_0_1562, plain, (X1=zero_zero(real)|plus_plus(real,hAPP(nat,real,power_power(real,X2),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,real,power_power(real,X1),plus_plus(nat,one_one(nat),one_one(nat))))!=zero_zero(real))). 3.79/1.76 cnf(i_0_1563, plain, (zero_zero(real)=X1|plus_plus(real,hAPP(nat,real,power_power(real,X1),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,real,power_power(real,X2),plus_plus(nat,one_one(nat),one_one(nat))))!=zero_zero(real))). 3.79/1.76 cnf(i_0_1034, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),plus_plus(int,pls,X1)))|plus_plus(int,pls,X1)!=hAPP(nat,int,semiring_1_of_nat(int),X2))). 3.79/1.76 cnf(i_0_392, plain, (times_times(X1,plus_plus(X1,X2,one_one(X1)),X3)=plus_plus(X1,X3,times_times(X1,X2,X3))|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_399, plain, (times_times(nat,number_number_of(nat,X1),number_number_of(nat,X2))=number_number_of(nat,times_times(int,X1,X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.76 cnf(i_0_1225, 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),X1),X2))|~hBOOL(hAPP(int,bool,zcong(X1,pls),X2)))). 3.79/1.76 cnf(i_0_1240, plain, (hBOOL(hAPP(nat,bool,X1,X2))|plus_plus(int,pls,X3)!=hAPP(nat,int,semiring_1_of_nat(int),X2)|~hBOOL(hAPP(nat,bool,X1,number_number_of(nat,X3))))). 3.79/1.76 cnf(i_0_1288, plain, (one_one(int)=plus_plus(int,pls,X1)|one_one(int)!=times_times(int,X2,X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X2)))). 3.79/1.76 cnf(i_0_111, plain, (plus_plus(X1,plus_plus(X1,zero_zero(X1),number_number_of(X1,X2)),number_number_of(X1,X2))=number_number_of(X1,plus_plus(int,X2,X2))|~number_ring(X1))). 3.79/1.76 cnf(i_0_20, plain, (plus_plus(int,pls,X1)=pls|abs_abs(int,X2)=one_one(int)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),times_times(int,X1,X2)),X1)))). 3.79/1.76 cnf(i_0_1296, plain, (~linorder(X1)|~number(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),number_number_of(X1,X2)),number_number_of(X1,X3)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),number_number_of(X1,X3)),number_number_of(X1,X2))))). 3.79/1.76 cnf(i_0_1371, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),abs_abs(int,X1)),one_one(int)))|plus_plus(int,pls,X1)!=pls)). 3.79/1.76 cnf(i_0_57, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1))|~hBOOL(hAPP(int,bool,zprime,X1)))). 3.79/1.76 cnf(i_0_577, 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))))|number_number_of(nat,X2)!=zero_zero(nat))). 3.79/1.76 cnf(i_0_481, plain, (plus_plus(int,X1,hAPP(nat,int,semiring_1_of_nat(int),esk17_2(X1,X2)))=plus_plus(int,pls,X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 3.79/1.76 cnf(i_0_152, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1))|plus_plus(int,pls,X1)!=hAPP(nat,int,semiring_1_of_nat(int),X2))). 3.79/1.76 cnf(i_0_1343, plain, (times_times(X1,plus_plus(X1,X2,one_one(X1)),minus_minus(X1,X2,one_one(X1)))=minus_minus(X1,times_times(X1,X2,X2),one_one(X1))|~ring_1(X1))). 3.79/1.76 cnf(i_0_1328, plain, (legendre(X1,X2)=min|hBOOL(hAPP(int,bool,zcong(X1,pls),X2))|hBOOL(hAPP(int,bool,quadRes(X2),X1)))). 3.79/1.76 cnf(i_0_1332, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),abs_abs(X1,X2)))|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_1495, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3))|abs_abs(X1,X3)!=abs_abs(X1,X2)|~linordered_idom(X1))). 3.79/1.76 cnf(i_0_1168, plain, (times_times(X1,hAPP(nat,X1,power_power(X1,X2),X3),X2)=times_times(X1,X2,hAPP(nat,X1,power_power(X1,X2),X3))|~monoid_mult(X1))). 3.79/1.76 cnf(i_0_495, plain, (plus_plus(X1,number_number_of(X1,X2),minus_minus(X1,number_number_of(X1,X3),X4))=minus_minus(X1,number_number_of(X1,plus_plus(int,X2,X3)),X4)|~number_ring(X1))). 3.79/1.76 cnf(i_0_1032, plain, (hAPP(nat,int,semiring_1_of_nat(int),number_number_of(nat,X1))=plus_plus(int,pls,X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),plus_plus(int,pls,X1))))). 3.79/1.76 cnf(i_0_625, 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_eq(int),one_one(int)),X1)))). 3.79/1.76 cnf(i_0_1254, plain, (times_times(X1,number_number_of(X1,X2),times_times(X1,number_number_of(X1,X3),X4))=times_times(X1,number_number_of(X1,times_times(int,X2,X3)),X4)|~number_ring(X1))). 3.79/1.76 cnf(i_0_223, plain, (plus_plus(X1,number_number_of(X1,X2),plus_plus(X1,number_number_of(X1,X3),X4))=plus_plus(X1,number_number_of(X1,plus_plus(int,X2,X3)),X4)|~number_ring(X1))). 3.79/1.76 cnf(i_0_943, plain, (ti(fun(X1,bool),hAPP(X1,fun(X1,bool),X2,X3))=hAPP(X1,fun(X1,bool),X2,X3)|~dvd(X1))). 3.79/1.76 cnf(i_0_1444, plain, (ti(fun(X1,bool),hAPP(X1,fun(X1,bool),X2,X3))=hAPP(X1,fun(X1,bool),X2,X3)|~order(X1))). 3.79/1.76 cnf(i_0_6, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),one_one(X1)))|~linordered_semidom(X1))). 3.79/1.76 cnf(i_0_752, plain, (plus_plus(X1,X2,X2)=times_times(X1,X2,number_number_of(X1,minus_minus(int,one_one(int),min)))|~number_semiring(X1))). 3.79/1.76 cnf(i_0_1213, plain, (plus_plus(X1,X2,X2)=times_times(X1,X2,number_number_of(X1,minus_minus(int,one_one(int),min)))|~number_ring(X1))). 3.79/1.76 cnf(i_0_1498, plain, (plus_plus(X1,X2,X2)=times_times(X1,number_number_of(X1,minus_minus(int,one_one(int),min)),X2)|~number_ring(X1))). 3.79/1.76 cnf(i_0_825, plain, (times_times(X1,number_number_of(X1,minus_minus(int,one_one(int),min)),X2)=plus_plus(X1,X2,X2)|~number_semiring(X1))). 3.79/1.76 cnf(i_0_660, plain, (plus_plus(X1,plus_plus(X1,X2,X3),plus_plus(X1,X4,X5))=plus_plus(X1,plus_plus(X1,X2,X4),plus_plus(X1,X3,X5))|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_1470, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),one_one(X1)))|~linordered_semidom(X1))). 3.79/1.76 cnf(i_0_1194, 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)))). 3.79/1.76 cnf(i_0_102, 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)))). 3.79/1.76 cnf(i_0_164, 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)))). 3.79/1.76 cnf(i_0_1651, plain, (number_number_of(nat,X1)=zero_zero(nat)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.76 cnf(i_0_821, 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))))). 3.79/1.76 cnf(i_0_239, plain, (hBOOL(hAPP(int,bool,quadRes(X1),X2))|~hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,X3),plus_plus(nat,one_one(nat),one_one(nat))),X2),X1)))). 3.79/1.76 cnf(i_0_1192, plain, (times_times(X1,times_times(X1,X2,X3),times_times(X1,X4,X5))=times_times(X1,times_times(X1,X2,X4),times_times(X1,X3,X5))|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_201, plain, (plus_plus(X1,plus_plus(X1,one_one(X1),number_number_of(X1,X2)),number_number_of(X1,X2))=number_number_of(X1,minus_minus(int,plus_plus(int,X2,X2),min))|~number_ring(X1))). 3.79/1.76 cnf(i_0_1041, plain, (times_times(nat,number_number_of(nat,X1),number_number_of(nat,X2))=number_number_of(nat,times_times(int,X1,X2))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 3.79/1.76 cnf(i_0_942, plain, (times_times(X1,X2,X2)=hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat)))|~monoid_mult(X1))). 3.79/1.76 cnf(i_0_888, plain, (hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat)))=times_times(X1,X2,X2)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_705, plain, (plus_plus(X1,times_times(X1,number_number_of(X1,X2),X3),times_times(X1,number_number_of(X1,X2),X4))=times_times(X1,number_number_of(X1,X2),plus_plus(X1,X3,X4))|~semiring(X1)|~number(X1))). 3.79/1.76 cnf(i_0_1237, plain, (hAPP(nat,int,semiring_1_of_nat(int),esk32_2(X1,X2))=plus_plus(int,pls,X2)|hBOOL(hAPP(nat,bool,X1,number_number_of(nat,X2)))|~hBOOL(hAPP(nat,bool,X1,zero_zero(nat))))). 3.79/1.76 cnf(i_0_96, plain, (plus_plus(nat,X1,esk3_3(X2,X3,X1))=X3|hBOOL(hAPP(nat,bool,X2,minus_minus(nat,X3,X1)))|~hBOOL(hAPP(nat,bool,X2,zero_zero(nat))))). 3.79/1.76 cnf(i_0_852, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(nat,int,semiring_1_of_nat(int),X1))))). 3.79/1.76 cnf(i_0_800, plain, (plus_plus(X1,one_one(X1),number_number_of(X1,X2))=number_number_of(X1,minus_minus(int,X2,min))|~number_semiring(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2)))). 3.79/1.76 cnf(i_0_1249, plain, (plus_plus(X1,number_number_of(X1,X2),one_one(X1))=number_number_of(X1,minus_minus(int,X2,min))|~number_semiring(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2)))). 3.79/1.76 cnf(i_0_1618, plain, (minus_minus(X1,times_times(X1,X2,number_number_of(X1,X3)),times_times(X1,X4,number_number_of(X1,X3)))=times_times(X1,minus_minus(X1,X2,X4),number_number_of(X1,X3))|~ring(X1)|~number(X1))). 3.79/1.76 cnf(i_0_1436, plain, (plus_plus(nat,X1,esk35_3(X2,X3,X1))=X3|hBOOL(hAPP(nat,bool,X2,minus_minus(nat,X3,X1)))|~hBOOL(hAPP(nat,bool,X2,zero_zero(nat))))). 3.79/1.76 cnf(i_0_1691, plain, (X1=X2|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)))). 3.79/1.76 cnf(i_0_1401, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),times_times(X1,X3,X2)))|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_356, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),minus_minus(int,X2,min)))|plus_plus(int,pls,X2)!=plus_plus(int,pls,X1))). 3.79/1.76 cnf(i_0_1646, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),times_times(X1,X2,X3)))|~dvd(X1))). 3.79/1.76 cnf(i_0_940, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),times_times(X1,X2,X3)))|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_525, plain, (hBOOL(hAPP(int,bool,zcong(X1,X2),X3))|~hBOOL(hAPP(int,bool,zcong(X4,X2),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X4),X3)))). 3.79/1.76 cnf(i_0_311, plain, (ti(X1,X2)=ti(X1,X3)|ti(X1,X4)=zero_zero(X1)|plus_plus(X1,X5,times_times(X1,X4,X3))!=plus_plus(X1,X6,times_times(X1,X4,X2))|ti(X1,X5)!=ti(X1,X6)|~semiri456707255roduct(X1))). 3.79/1.76 cnf(i_0_999, plain, (abs_abs(X1,times_times(X1,X2,X3))=times_times(X1,abs_abs(X1,X2),X3)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))). 3.79/1.76 cnf(i_0_835, plain, (hBOOL(hAPP(int,bool,zcong(X1,minus_minus(int,X2,one_one(int))),X2))|~hBOOL(hAPP(int,bool,zcong(times_times(int,X1,minus_minus(int,X2,one_one(int))),one_one(int)),X2)))). 3.79/1.76 cnf(i_0_1617, plain, (hAPP(nat,X1,power_power(X1,hAPP(nat,X1,semiring_1_of_nat(X1),X2)),X3)=hAPP(nat,X1,semiring_1_of_nat(X1),hAPP(nat,nat,power_power(nat,X2),X3))|~semiring_1(X1))). 3.79/1.76 cnf(i_0_848, plain, (X1=one_one(nat)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),times_times(nat,X1,X2)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)))). 3.79/1.76 cnf(i_0_633, plain, (one_one(nat)=X1|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),times_times(nat,X2,X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)))). 3.79/1.76 cnf(i_0_1634, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),abs_abs(X1,X2)))|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_431, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),abs_abs(X1,X3))))). 3.79/1.76 cnf(i_0_1268, plain, (plus_plus(X1,hAPP(nat,X1,semiring_1_of_nat(X1),X2),hAPP(nat,X1,semiring_1_of_nat(X1),X3))=hAPP(nat,X1,semiring_1_of_nat(X1),plus_plus(nat,X2,X3))|~semiring_1(X1))). 3.79/1.76 cnf(i_0_667, plain, (plus_plus(X1,times_times(X1,X2,number_number_of(X1,X3)),times_times(X1,X4,number_number_of(X1,X3)))=times_times(X1,plus_plus(X1,X2,X4),number_number_of(X1,X3))|~semiring(X1)|~number(X1))). 3.79/1.76 cnf(i_0_17, plain, (hBOOL(hAPP(int,bool,zcong(plus_plus(int,X1,X2),plus_plus(int,X3,X2)),X4))|~hBOOL(hAPP(int,bool,zcong(X1,X3),X4)))). 3.79/1.76 cnf(i_0_1624, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~ordere142940540dd_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),abs_abs(X1,X2)),X3)))). 3.79/1.76 cnf(i_0_1365, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),abs_abs(X1,X2)),X3)))). 3.79/1.76 cnf(i_0_1241, plain, (hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),pls))|~hBOOL(hAPP(nat,bool,X1,number_number_of(nat,X2))))). 3.79/1.76 cnf(i_0_763, plain, (hBOOL(hAPP(int,bool,zcong(X1,pls),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X1)))). 3.79/1.76 cnf(i_0_148, 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),plus_plus(int,X1,X1))))). 3.79/1.76 cnf(i_0_639, plain, (minus_minus(X1,times_times(X1,number_number_of(X1,X2),X3),times_times(X1,number_number_of(X1,X2),X4))=times_times(X1,number_number_of(X1,X2),minus_minus(X1,X3,X4))|~ring(X1)|~number(X1))). 3.79/1.76 cnf(i_0_142, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),times_times(X1,X4,X2)),X3)))). 3.79/1.76 cnf(i_0_315, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),times_times(X1,X2,X4)),X3)))). 3.79/1.76 cnf(i_0_94, plain, (hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(nat,bool,X1,minus_minus(nat,X2,X3))))). 3.79/1.76 cnf(i_0_632, plain, (hAPP(nat,X1,power_power(X1,hAPP(nat,X1,power_power(X1,X2),X3)),X4)=hAPP(nat,X1,power_power(X1,X2),times_times(nat,X3,X4))|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_1054, 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),plus_plus(int,X1,X1))))). 3.79/1.76 cnf(i_0_120, 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),plus_plus(int,X1,X1))))). 3.79/1.76 cnf(i_0_184, 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),plus_plus(int,X1,X1))))). 3.79/1.76 cnf(i_0_1150, 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),plus_plus(int,X1,X1)),pls)))). 3.79/1.76 cnf(i_0_437, plain, (plus_plus(X1,times_times(X1,X2,X3),times_times(X1,X4,X5))=plus_plus(X1,times_times(X1,X2,X5),times_times(X1,X4,X3))|ti(X1,X3)!=ti(X1,X5)|~semiri456707255roduct(X1))). 3.79/1.76 cnf(i_0_224, plain, (hAPP(nat,X1,power_power(X1,hAPP(nat,X1,power_power(X1,X2),X3)),X4)=hAPP(nat,X1,power_power(X1,X2),times_times(nat,X3,X4))|~monoid_mult(X1))). 3.79/1.76 cnf(i_0_1418, plain, (hBOOL(hAPP(int,bool,zcong(times_times(int,X1,X2),times_times(int,X1,X3)),X4))|~hBOOL(hAPP(int,bool,zcong(X2,X3),X4)))). 3.79/1.76 cnf(i_0_1537, plain, (hBOOL(hAPP(int,bool,zcong(times_times(int,X1,X2),times_times(int,X3,X2)),X4))|~hBOOL(hAPP(int,bool,zcong(X1,X3),X4)))). 3.79/1.76 cnf(i_0_1625, 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),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X1)))). 3.79/1.76 cnf(i_0_207, plain, (hBOOL(hAPP(nat,bool,X1,plus_plus(nat,one_one(nat),esk8_2(X2,X1))))|hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X1,X2)))). 3.79/1.76 cnf(i_0_1022, 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),plus_plus(int,X1,X1)),pls)))). 3.79/1.76 cnf(i_0_187, 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),plus_plus(int,X1,X1)),min)))). 3.79/1.76 cnf(i_0_912, 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),plus_plus(int,X1,X1)),min)))). 3.79/1.76 cnf(i_0_1432, plain, (times_times(X1,X2,hAPP(nat,X1,power_power(X1,X2),minus_minus(nat,X3,one_one(nat))))=hAPP(nat,X1,power_power(X1,X2),X3)|X3=zero_zero(nat)|~power(X1))). 3.79/1.76 cnf(i_0_1269, 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),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X1)))). 3.79/1.76 cnf(i_0_941, plain, (hAPP(X1,fun(X1,bool),ti(fun(X1,fun(X1,bool)),X2),X3)=hAPP(X1,fun(X1,bool),X2,X3)|~dvd(X1))). 3.79/1.76 cnf(i_0_1362, plain, (plus_plus(X1,times_times(X1,X2,X3),plus_plus(X1,times_times(X1,X4,X3),X5))=plus_plus(X1,times_times(X1,plus_plus(X1,X2,X4),X3),X5)|~semiring(X1))). 3.79/1.76 cnf(i_0_441, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),plus_plus(X1,X2,one_one(X1))))|~linordered_semidom(X1))). 3.79/1.76 cnf(i_0_900, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),esk27_1(X1)))|hBOOL(hAPP(nat,bool,X1,X2)))). 3.79/1.76 cnf(i_0_534, plain, (minus_minus(nat,number_number_of(nat,X1),plus_plus(nat,one_one(nat),one_one(nat)))=number_number_of(nat,minus_minus(int,X1,minus_minus(int,one_one(int),min)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),minus_minus(int,one_one(int),min)),X1)))). 3.79/1.76 cnf(i_0_1411, plain, (hBOOL(hAPP(int,bool,X1,pls))|~hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),minus_minus(nat,X2,X3))))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3)))). 3.79/1.76 cnf(i_0_438, plain, (plus_plus(X1,times_times(X1,X2,X3),times_times(X1,X4,X5))=plus_plus(X1,times_times(X1,X2,X5),times_times(X1,X4,X3))|ti(X1,X2)!=ti(X1,X4)|~semiri456707255roduct(X1))). 3.79/1.76 cnf(i_0_245, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),esk11_1(X1)))|~hBOOL(hAPP(nat,bool,X1,X2)))). 3.79/1.76 cnf(i_0_48, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),times_times(X1,X2,X2)))|~linordered_ring(X1))). 3.79/1.76 cnf(i_0_208, plain, (hBOOL(hAPP(nat,bool,X1,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),esk8_2(X3,X1)))|~hBOOL(hAPP(nat,bool,X1,X3))|~hBOOL(hAPP(nat,bool,X1,X2)))). 3.79/1.76 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),minus_minus(X1,X2,X3)),zero_zero(X1))))). 3.79/1.76 cnf(i_0_916, 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),minus_minus(X1,X2,X3)),zero_zero(X1))))). 3.79/1.76 cnf(i_0_19, plain, (plus_plus(int,pls,X1)=pls|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),times_times(int,X1,X2)),X1))|abs_abs(int,X2)!=one_one(int))). 3.79/1.76 cnf(i_0_626, 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),pls),X1)))). 3.79/1.76 cnf(i_0_1529, 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),minus_minus(int,plus_plus(int,X1,X1),min))))). 3.79/1.76 cnf(i_0_140, 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),minus_minus(int,plus_plus(int,X1,X1),min))))). 3.79/1.76 cnf(i_0_143, 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),minus_minus(int,plus_plus(int,X1,X1),min))))). 3.79/1.76 cnf(i_0_1477, plain, (times_times(X1,hAPP(nat,X1,semiring_1_of_nat(X1),X2),hAPP(nat,X1,semiring_1_of_nat(X1),X3))=hAPP(nat,X1,semiring_1_of_nat(X1),times_times(nat,X2,X3))|~semiring_1(X1))). 3.79/1.76 cnf(i_0_106, plain, (hAPP(X1,fun(X1,bool),ti(fun(X1,fun(X1,bool)),X2),X3)=hAPP(X1,fun(X1,bool),X2,X3)|~order(X1))). 3.79/1.76 cnf(i_0_1520, 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))))). 3.79/1.76 cnf(i_0_1130, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),abs_abs(X1,X2)),zero_zero(X1)))|ti(X1,X2)!=zero_zero(X1)|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_76, 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)))). 3.79/1.76 cnf(i_0_971, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),minus_minus(int,X2,X3)))|~hBOOL(hAPP(int,bool,zcong(X2,X3),X1)))). 3.79/1.76 cnf(i_0_1162, 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),minus_minus(int,plus_plus(int,X1,X1),min))))). 3.79/1.76 cnf(i_0_491, 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),minus_minus(int,plus_plus(int,X1,X1),min)),pls)))). 3.79/1.76 cnf(i_0_488, 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),minus_minus(int,plus_plus(int,X1,X1),min)),pls)))). 3.79/1.76 cnf(i_0_544, 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),minus_minus(int,plus_plus(int,X1,X1),min)),min)))). 3.79/1.76 cnf(i_0_986, plain, (plus_plus(int,pls,X1)=pls|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(nat,int,power_power(int,abs_abs(int,X1)),X2))))). 3.79/1.76 cnf(i_0_418, 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)))). 3.79/1.76 cnf(i_0_216, 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)))). 3.79/1.76 cnf(i_0_599, 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),minus_minus(int,plus_plus(int,X1,X1),min)),min)))). 3.79/1.76 cnf(i_0_1412, plain, (hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),minus_minus(nat,X2,X3))))|~hBOOL(hAPP(int,bool,X1,minus_minus(int,hAPP(nat,int,semiring_1_of_nat(int),X2),hAPP(nat,int,semiring_1_of_nat(int),X3))))|~hBOOL(hAPP(int,bool,X1,pls)))). 3.79/1.76 cnf(i_0_822, 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)))). 3.79/1.76 cnf(i_0_1010, plain, (ti(X1,X2)=plus_plus(X1,times_times(X1,minus_minus(X1,X3,X4),X5),X6)|plus_plus(X1,times_times(X1,X3,X5),X6)!=plus_plus(X1,times_times(X1,X4,X5),X2)|~ring(X1))). 3.79/1.76 cnf(i_0_91, plain, (plus_plus(int,pls,X1)=pls|~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),X1),X2))|~hBOOL(hAPP(int,bool,zcong(X1,pls),X2)))). 3.79/1.76 cnf(i_0_439, plain, (ti(X1,X2)=ti(X1,X3)|ti(X1,X4)=ti(X1,X5)|plus_plus(X1,times_times(X1,X2,X4),times_times(X1,X3,X5))!=plus_plus(X1,times_times(X1,X2,X5),times_times(X1,X3,X4))|~semiri456707255roduct(X1))). 3.79/1.76 cnf(i_0_1576, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),plus_plus(int,one_one(int),X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.76 cnf(i_0_699, plain, (hAPP(nat,X1,semiring_1_of_nat(X1),number_number_of(nat,X2))=number_number_of(X1,X2)|~number_ring(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),plus_plus(int,pls,X2))))). 3.79/1.76 cnf(i_0_920, 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),plus_plus(nat,X2,X1))))). 3.79/1.76 cnf(i_0_538, 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)),plus_plus(X1,X2,X2))))). 3.79/1.76 cnf(i_0_573, 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)),plus_plus(X1,X2,X2))))). 3.79/1.76 cnf(i_0_1657, 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),plus_plus(nat,X1,X3)),X2)))). 3.79/1.76 cnf(i_0_1429, 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)))). 3.79/1.76 cnf(i_0_1469, plain, (plus_plus(int,hAPP(nat,int,power_power(int,esk36_0),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,int,power_power(int,esk37_0),plus_plus(nat,one_one(nat),one_one(nat))))=minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min)|one_one(int)!=t)). 3.79/1.76 cnf(i_0_853, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),hAPP(nat,int,semiring_1_of_nat(int),X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 3.79/1.76 cnf(i_0_1030, 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),plus_plus(int,pls,X1)),plus_plus(int,pls,X2))))). 3.79/1.76 cnf(i_0_498, plain, (plus_plus(X1,times_times(X1,X2,X3),X4)=plus_plus(X1,times_times(X1,X5,X3),X6)|ti(X1,X6)!=plus_plus(X1,times_times(X1,minus_minus(X1,X2,X5),X3),X4)|~ring(X1))). 3.79/1.76 cnf(i_0_1065, plain, (X1=zero_zero(real)|hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),times_times(real,X1,X1))))). 3.79/1.76 cnf(i_0_712, 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),plus_plus(nat,X3,X1)),X2)))). 3.79/1.76 cnf(i_0_608, 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),plus_plus(nat,X1,X3)),X2)))). 3.79/1.76 cnf(i_0_1392, 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),plus_plus(int,pls,X1)),plus_plus(int,pls,X2))))). 3.79/1.76 cnf(i_0_1219, 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),minus_minus(int,X2,one_one(int)))))). 3.79/1.76 cnf(i_0_766, 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),minus_minus(int,X2,min))))). 3.79/1.76 cnf(i_0_764, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2))|~hBOOL(hAPP(int,bool,zcong(X2,pls),X1)))). 3.79/1.76 cnf(i_0_1710, 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),plus_plus(X1,X2,X2)),zero_zero(X1))))). 3.79/1.76 cnf(i_0_631, 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),plus_plus(X1,X2,X2)),zero_zero(X1))))). 3.79/1.76 cnf(i_0_185, 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),plus_plus(X1,X2,X2)),zero_zero(X1))))). 3.79/1.76 cnf(i_0_1137, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,X4,X2)),plus_plus(X1,X4,X3))))). 3.79/1.76 cnf(i_0_772, 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),zero_zero(nat)),minus_minus(nat,X2,X1))))). 3.79/1.76 cnf(i_0_933, 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),minus_minus(int,X1,X2)),pls)))). 3.79/1.76 cnf(i_0_961, 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),minus_minus(int,X1,min)),X2)))). 3.79/1.76 cnf(i_0_719, 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)),times_times(nat,X2,X1))))). 3.79/1.76 cnf(i_0_1001, plain, (plus_plus(X1,times_times(X1,X2,minus_minus(X1,X3,X4)),times_times(X1,minus_minus(X1,X2,X5),X4))=minus_minus(X1,times_times(X1,X2,X3),times_times(X1,X5,X4))|~ring(X1))). 3.79/1.76 cnf(i_0_1331, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),plus_plus(X1,one_one(X1),one_one(X1))))|~linordered_semidom(X1))). 3.79/1.76 cnf(i_0_514, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,X2,X4)),plus_plus(X1,X3,X4))))). 3.79/1.76 cnf(i_0_66, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,X4,X2)),plus_plus(X1,X4,X3))))). 3.79/1.76 cnf(i_0_1488, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(nat,X1,semiring_1_of_nat(X1),X2)))|~linordered_semidom(X1))). 3.79/1.76 cnf(i_0_720, 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)),times_times(nat,X1,X2))))). 3.79/1.76 cnf(i_0_482, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|plus_plus(int,pls,X2)!=plus_plus(int,X1,hAPP(nat,int,semiring_1_of_nat(int),X3)))). 3.79/1.76 cnf(i_0_1172, plain, (plus_plus(nat,number_number_of(nat,X1),number_number_of(nat,X2))=number_number_of(nat,X1)|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),X2),pls)))). 3.79/1.76 cnf(i_0_101, plain, (times_times(int,X1,hAPP(nat,int,power_power(int,X1),minus_minus(nat,number_number_of(nat,X2),one_one(nat))))=hAPP(nat,int,power_power(int,X1),number_number_of(nat,X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X2)))). 3.79/1.76 cnf(i_0_1546, plain, (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),plus_plus(nat,X3,X4))|~monoid_mult(X1))). 3.79/1.76 cnf(i_0_1100, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,X2,X4)),plus_plus(X1,X3,X4))))). 3.79/1.76 cnf(i_0_1568, plain, (abs_abs(int,X1)=abs_abs(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)))). 3.79/1.76 cnf(i_0_836, plain, (hBOOL(hAPP(int,bool,zcong(times_times(int,X1,minus_minus(int,X2,one_one(int))),one_one(int)),X2))|~hBOOL(hAPP(int,bool,zcong(X1,minus_minus(int,X2,one_one(int))),X2)))). 3.79/1.76 cnf(i_0_1668, plain, (hAPP(nat,X1,power_power(X1,abs_abs(X1,X2)),plus_plus(nat,one_one(nat),one_one(nat)))=hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat)))|~linordered_idom(X1))). 3.79/1.76 cnf(i_0_18, plain, (abs_abs(X1,hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat))))=hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat)))|~linordered_idom(X1))). 3.79/1.76 cnf(i_0_1200, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))))). 3.79/1.76 cnf(i_0_1633, plain, (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),plus_plus(nat,X3,X4))|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_1239, plain, (hAPP(nat,int,semiring_1_of_nat(int),esk32_2(X1,X2))=plus_plus(int,pls,X2)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),pls))|hBOOL(hAPP(nat,bool,X1,number_number_of(nat,X2))))). 3.79/1.76 cnf(i_0_478, plain, (plus_plus(int,pls,X1)=plus_plus(int,pls,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)))). 3.79/1.76 cnf(i_0_1521, 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),number_number_of(nat,X2)),number_number_of(nat,X1))))). 3.79/1.76 cnf(i_0_246, plain, (hBOOL(hAPP(nat,bool,X1,esk10_1(X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~hBOOL(hAPP(nat,bool,X1,number_number_of(nat,X2))))). 3.79/1.76 cnf(i_0_898, plain, (hBOOL(hAPP(nat,bool,X1,number_number_of(nat,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~hBOOL(hAPP(nat,bool,X1,esk28_1(X1))))). 3.79/1.76 cnf(i_0_455, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))))). 3.79/1.76 cnf(i_0_982, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2))))). 3.79/1.76 cnf(i_0_497, plain, (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,times_times(X1,X2,X4)),X3)|~comm_monoid_mult(X1))). 3.79/1.76 cnf(i_0_812, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),esk24_1(X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X1)))). 3.79/1.76 cnf(i_0_1143, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X1))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),zero_zero(X2)),number_number_of(X2,X1))))). 3.79/1.76 cnf(i_0_1074, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),zero_zero(X2)),number_number_of(X2,X1))))). 3.79/1.76 cnf(i_0_434, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),number_number_of(X2,X1)),zero_zero(X2))))). 3.79/1.76 cnf(i_0_1699, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),pls))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),number_number_of(X2,X1)),zero_zero(X2))))). 3.79/1.76 cnf(i_0_97, plain, (plus_plus(nat,X1,esk3_3(X2,X3,X1))=X3|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X1))|hBOOL(hAPP(nat,bool,X2,minus_minus(nat,X3,X1))))). 3.79/1.76 cnf(i_0_386, plain, (ti(X1,X2)=zero_zero(X1)|plus_plus(X1,hAPP(nat,X1,power_power(X1,X3),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat))))!=zero_zero(X1)|~linordered_idom(X1))). 3.79/1.76 cnf(i_0_387, plain, (ti(X1,X2)=zero_zero(X1)|plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,X1,power_power(X1,X3),plus_plus(nat,one_one(nat),one_one(nat))))!=zero_zero(X1)|~linordered_idom(X1))). 3.79/1.76 cnf(i_0_1206, plain, (X1=zero_zero(nat)|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)),hAPP(nat,nat,power_power(nat,X2),X1))))). 3.79/1.76 cnf(i_0_1681, plain, (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,times_times(X1,X2,X4)),X3)|~comm_semiring_1(X1))). 3.79/1.76 cnf(i_0_1438, plain, (plus_plus(nat,X1,esk35_3(X2,X3,X1))=X3|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X1))|hBOOL(hAPP(nat,bool,X2,minus_minus(nat,X3,X1))))). 3.79/1.76 cnf(i_0_323, 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),minus_minus(real,X1,X2)),zero_zero(real))))). 3.79/1.76 cnf(i_0_75, 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)))). 3.79/1.76 cnf(i_0_1061, plain, (X1=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X1)))). 3.79/1.76 cnf(i_0_149, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),plus_plus(int,X1,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X1)))). 3.79/1.76 cnf(i_0_1055, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),plus_plus(int,X1,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),X1)))). 3.79/1.76 cnf(i_0_183, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),plus_plus(int,X1,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.76 cnf(i_0_121, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),min),plus_plus(int,X1,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),X1)))). 3.79/1.76 cnf(i_0_1149, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),plus_plus(int,X1,X1)),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 3.79/1.76 cnf(i_0_278, plain, (ti(X1,X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),abs_abs(X1,X2)))|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_188, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),plus_plus(int,X1,X1)),min))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),min)))). 3.79/1.76 cnf(i_0_968, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~number_ring(X3)|~linordered_idom(X3)|~hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),number_number_of(X3,X1)),number_number_of(X3,X2))))). 3.79/1.76 cnf(i_0_866, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|~number_ring(X3)|~linordered_idom(X3)|~hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less_eq(X3),number_number_of(X3,X1)),number_number_of(X3,X2))))). 3.79/1.76 cnf(i_0_785, plain, (hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),X2))|~hBOOL(hAPP(int,bool,X1,minus_minus(int,esk23_3(X1,X3,X2),min)))|~hBOOL(hAPP(int,bool,X1,minus_minus(int,X3,min))))). 3.79/1.76 cnf(i_0_1279, plain, (minus_minus(nat,number_number_of(nat,X1),number_number_of(nat,X2))=number_number_of(nat,minus_minus(int,X1,X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X1)))). 3.79/1.76 cnf(i_0_1021, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),plus_plus(int,X1,X1)),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),pls)))). 3.79/1.76 cnf(i_0_911, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),plus_plus(int,X1,X1)),min))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),min)))). 3.79/1.76 cnf(i_0_1724, plain, (~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat)))),zero_zero(X1))))). 3.79/1.76 cnf(i_0_600, 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)))). 3.79/1.76 cnf(i_0_116, plain, (zero_zero(nat)=X1|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),number_number_of(nat,X2)),X1)))). 3.79/1.76 cnf(i_0_700, plain, (hAPP(nat,X1,semiring_1_of_nat(X1),number_number_of(nat,X2))=zero_zero(X1)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),plus_plus(int,pls,X2)))|~number_ring(X1))). 3.79/1.76 cnf(i_0_1238, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls))|hBOOL(hAPP(nat,bool,X2,number_number_of(nat,X1)))|~hBOOL(hAPP(nat,bool,X2,esk32_2(X2,X1))))). 3.79/1.76 cnf(i_0_432, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),abs_abs(X1,X3)))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 3.79/1.76 cnf(i_0_1366, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),abs_abs(X1,X2)),X3))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 3.79/1.76 cnf(i_0_650, plain, (hBOOL(hAPP(int,bool,zcong(X1,X2),X3))|plus_plus(int,pls,X4)!=plus_plus(int,pls,X5)|~hBOOL(hAPP(int,bool,zcong(X5,X2),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X4),X3)))). 3.79/1.76 cnf(i_0_553, plain, (hBOOL(hAPP(int,bool,zcong(plus_plus(int,X1,X2),plus_plus(int,X3,X4)),X5))|~hBOOL(hAPP(int,bool,zcong(X2,X4),X5))|~hBOOL(hAPP(int,bool,zcong(X1,X3),X5)))). 3.79/1.76 cnf(i_0_918, plain, (times_times(nat,number_number_of(nat,X1),times_times(nat,number_number_of(nat,X2),X3))=times_times(nat,number_number_of(nat,times_times(int,X1,X2)),X3)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 3.79/1.76 cnf(i_0_210, plain, (legendre(min,minus_minus(int,times_times(int,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min))),X1),min))=one_one(int)|~hBOOL(hAPP(int,bool,zprime,minus_minus(int,times_times(int,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min))),X1),min))))). 3.79/1.76 cnf(i_0_559, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),times_times(X1,X2,X3)),times_times(X1,X2,X4)))|ti(X1,X2)!=zero_zero(X1)|~idom(X1))). 3.79/1.76 cnf(i_0_269, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),esk14_2(X1,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 3.79/1.76 cnf(i_0_100, plain, (hBOOL(hAPP(int,bool,zcong(minus_minus(int,X1,X2),minus_minus(int,X3,X4)),X5))|~hBOOL(hAPP(int,bool,zcong(X2,X4),X5))|~hBOOL(hAPP(int,bool,zcong(X1,X3),X5)))). 3.79/1.76 cnf(i_0_636, plain, (hBOOL(hAPP(int,bool,zcong(times_times(int,X1,X2),times_times(int,X3,X4)),X5))|~hBOOL(hAPP(int,bool,zcong(X2,X4),X5))|~hBOOL(hAPP(int,bool,zcong(X1,X3),X5)))). 3.79/1.76 cnf(i_0_1129, 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),plus_plus(int,X2,times_times(int,X1,X3)))))). 3.79/1.76 cnf(i_0_160, 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),plus_plus(nat,X3,X1)),plus_plus(nat,X3,X2))))). 3.79/1.76 cnf(i_0_601, 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)))). 3.79/1.76 cnf(i_0_338, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),times_times(X1,X2,X3)),times_times(X1,X4,X3)))|ti(X1,X3)!=zero_zero(X1)|~idom(X1))). 3.79/1.76 cnf(i_0_1029, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),plus_plus(int,pls,X1)),plus_plus(int,pls,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 3.79/1.76 cnf(i_0_1714, 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),times_times(nat,X3,X1)),times_times(nat,X3,X2))))). 3.79/1.76 cnf(i_0_1404, 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),times_times(nat,X1,X3)),times_times(nat,X2,X3))))). 3.79/1.76 cnf(i_0_1182, 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),plus_plus(nat,X3,X1)),plus_plus(nat,X3,X2))))). 3.79/1.76 cnf(i_0_205, 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),plus_plus(int,X1,X1)),plus_plus(int,X2,X2))))). 3.79/1.76 cnf(i_0_324, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),number_number_of(nat,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),X2)))). 3.79/1.76 cnf(i_0_1120, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),esk30_1(X1)))|~hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),X2))))). 3.79/1.76 cnf(i_0_885, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),plus_plus(X1,times_times(X1,X2,X2),times_times(X1,X3,X3))))|~linordered_ring(X1))). 3.79/1.76 cnf(i_0_1024, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),plus_plus(nat,X2,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X3)))). 3.79/1.76 cnf(i_0_628, 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),plus_plus(int,X1,X1)),plus_plus(int,X2,X2))))). 3.79/1.76 cnf(i_0_1089, 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)))). 3.79/1.76 cnf(i_0_977, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),plus_plus(nat,X2,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 3.79/1.76 cnf(i_0_141, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),minus_minus(int,plus_plus(int,X1,X1),min)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.76 cnf(i_0_1528, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),minus_minus(int,plus_plus(int,X1,X1),min)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),X1)))). 3.79/1.76 cnf(i_0_144, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),minus_minus(int,plus_plus(int,X1,X1),min)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.76 cnf(i_0_502, plain, (ti(X1,X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),plus_plus(X1,times_times(X1,X3,X3),times_times(X1,X2,X2))))|~linord581940658strict(X1))). 3.79/1.76 cnf(i_0_417, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),plus_plus(nat,X2,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3)))). 3.79/1.76 cnf(i_0_351, plain, (plus_plus(nat,number_number_of(nat,X1),number_number_of(nat,X2))=number_number_of(nat,plus_plus(int,X1,X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.76 cnf(i_0_1509, plain, (X1=X2|minus_minus(nat,X1,X3)!=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)))). 3.79/1.76 cnf(i_0_1231, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),plus_plus(nat,X2,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 3.79/1.76 cnf(i_0_1163, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),min),minus_minus(int,plus_plus(int,X1,X1),min)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),min),X1)))). 3.79/1.76 cnf(i_0_490, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),minus_minus(int,plus_plus(int,X1,X1),min)),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 3.79/1.76 cnf(i_0_545, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),minus_minus(int,plus_plus(int,X1,X1),min)),min))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),min)))). 3.79/1.76 cnf(i_0_489, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),minus_minus(int,plus_plus(int,X1,X1),min)),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),pls)))). 3.79/1.76 cnf(i_0_503, plain, (ti(X1,X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),plus_plus(X1,times_times(X1,X2,X2),times_times(X1,X3,X3))))|~linord581940658strict(X1))). 3.79/1.76 cnf(i_0_921, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),plus_plus(nat,X2,X1)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 3.79/1.76 cnf(i_0_1594, plain, (ti(X1,X2)=zero_zero(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)))). 3.79/1.76 cnf(i_0_1595, plain, (ti(X1,X2)=zero_zero(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)))). 3.79/1.76 cnf(i_0_99, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|hBOOL(hAPP(nat,bool,X3,minus_minus(nat,X1,X2)))|~hBOOL(hAPP(nat,bool,X3,esk3_3(X3,X1,X2))))). 3.79/1.76 cnf(i_0_1437, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|hBOOL(hAPP(nat,bool,X3,minus_minus(nat,X1,X2)))|~hBOOL(hAPP(nat,bool,X3,esk35_3(X3,X1,X2))))). 3.79/1.76 cnf(i_0_355, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),minus_minus(int,X2,min)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 3.79/1.76 cnf(i_0_598, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),minus_minus(int,plus_plus(int,X1,X1),min)),min))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),min)))). 3.79/1.76 cnf(i_0_254, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),plus_plus(int,X1,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),plus_plus(int,pls,X1))))). 3.79/1.76 cnf(i_0_612, 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))). 3.79/1.76 cnf(i_0_765, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),minus_minus(int,X2,min)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 3.79/1.76 cnf(i_0_1549, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),plus_plus(nat,X1,X2)),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),minus_minus(nat,X3,X2))))). 3.79/1.76 cnf(i_0_1319, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),plus_plus(nat,X2,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),minus_minus(nat,X1,X3)),X2)))). 3.79/1.76 cnf(i_0_557, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),times_times(X1,X3,X4)))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X4)))). 3.79/1.76 cnf(i_0_85, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),times_times(X1,X3,X4)))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3)))). 3.79/1.76 cnf(i_0_1487, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),minus_minus(int,X2,one_one(int))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 3.79/1.76 cnf(i_0_778, 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)))). 3.79/1.76 cnf(i_0_1378, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),hAPP(nat,int,power_power(int,X1),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.76 cnf(i_0_270, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(nat,X1,power_power(X1,abs_abs(X1,X2)),X3)))|~linordered_idom(X1))). 3.79/1.76 cnf(i_0_771, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),minus_minus(nat,X1,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1)))). 3.79/1.76 cnf(i_0_616, plain, (hBOOL(hAPP(int,bool,X1,X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),esk18_1(X1)))))). 3.79/1.76 cnf(i_0_213, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~linordered_semidom(X2)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),zero_zero(X2)),hAPP(nat,X2,semiring_1_of_nat(X2),X1))))). 3.79/1.76 cnf(i_0_1403, 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),times_times(nat,X2,X1)),times_times(nat,X3,X1))))). 3.79/1.76 cnf(i_0_1715, 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),times_times(nat,X1,X2)),times_times(nat,X1,X3))))). 3.79/1.76 cnf(i_0_1159, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),minus_minus(nat,X1,X2)),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X3)))). 3.79/1.76 cnf(i_0_934, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),minus_minus(int,X1,X2)),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 3.79/1.76 cnf(i_0_962, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),minus_minus(int,X1,min)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 3.79/1.76 cnf(i_0_847, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),minus_minus(X1,abs_abs(X1,X2),abs_abs(X1,X3))),abs_abs(X1,minus_minus(X1,X3,X2))))|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_189, plain, (hAPP(nat,real,power_power(real,esk6_2(X1,X2)),X2)=X1|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)))). 3.79/1.76 cnf(i_0_1522, plain, (hAPP(nat,real,power_power(real,esk39_2(X1,X2)),X2)=X1|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)))). 3.79/1.76 cnf(i_0_307, plain, (hBOOL(hAPP(int,bool,zcong(X1,times_times(int,X2,X3)),X4))|~hBOOL(hAPP(int,bool,zcong(X1,times_times(int,X5,X3)),X4))|~hBOOL(hAPP(int,bool,zcong(X2,X5),X4)))). 3.79/1.76 cnf(i_0_306, plain, (hBOOL(hAPP(int,bool,zcong(X1,times_times(int,X2,X3)),X4))|~hBOOL(hAPP(int,bool,zcong(X1,times_times(int,X5,X3)),X4))|~hBOOL(hAPP(int,bool,zcong(X5,X2),X4)))). 3.79/1.76 cnf(i_0_662, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,X1),X2),hAPP(nat,int,power_power(int,X3),X2)),X4))|~hBOOL(hAPP(int,bool,zcong(X1,X3),X4)))). 3.79/1.76 cnf(i_0_718, plain, (plus_plus(int,pls,X1)=one_one(int)|plus_plus(int,pls,X1)=pls|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),minus_minus(int,one_one(int),min)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.76 cnf(i_0_112, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),number_number_of(nat,X1)),zero_zero(nat)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),pls)))). 3.79/1.76 cnf(i_0_615, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),esk19_1(X1)))|hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),X2))))). 3.79/1.76 cnf(i_0_1462, plain, (hBOOL(hAPP(int,bool,zcong(X1,times_times(int,X2,X3)),X4))|~hBOOL(hAPP(int,bool,zcong(X1,times_times(int,X2,X5)),X4))|~hBOOL(hAPP(int,bool,zcong(X3,X5),X4)))). 3.79/1.76 cnf(i_0_1461, plain, (hBOOL(hAPP(int,bool,zcong(X1,times_times(int,X2,X3)),X4))|~hBOOL(hAPP(int,bool,zcong(X1,times_times(int,X2,X5)),X4))|~hBOOL(hAPP(int,bool,zcong(X5,X3),X4)))). 3.79/1.76 cnf(i_0_560, 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),times_times(X1,X2,X3)),times_times(X1,X2,X4))))). 3.79/1.76 cnf(i_0_339, 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),times_times(X1,X3,X2)),times_times(X1,X4,X2))))). 3.79/1.76 cnf(i_0_253, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),minus_minus(int,plus_plus(int,X1,X1),min)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),plus_plus(int,pls,X1))))). 3.79/1.76 cnf(i_0_114, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),number_number_of(nat,X1)),zero_zero(nat)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.76 cnf(i_0_206, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk8_2(X1,X2)),X1))|hBOOL(hAPP(nat,bool,X2,zero_zero(nat)))|~hBOOL(hAPP(nat,bool,X2,X1)))). 3.79/1.76 cnf(i_0_1427, plain, (plus_plus(int,pls,X1)=plus_plus(int,pls,X2)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 3.79/1.76 cnf(i_0_786, plain, (hBOOL(hAPP(int,bool,X1,esk23_3(X1,X2,X3)))|hBOOL(hAPP(int,bool,X1,X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3))|~hBOOL(hAPP(int,bool,X1,minus_minus(int,X2,min))))). 3.79/1.76 cnf(i_0_124, plain, (hBOOL(hAPP(int,bool,zcong(X1,pls),X2))|hBOOL(hAPP(int,bool,zcong(X3,pls),X2))|~hBOOL(hAPP(int,bool,zcong(times_times(int,X1,X3),pls),X2))|~hBOOL(hAPP(int,bool,zprime,X2)))). 3.79/1.76 cnf(i_0_886, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(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)))). 3.79/1.76 cnf(i_0_325, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),number_number_of(nat,X2))))). 3.79/1.76 cnf(i_0_819, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),number_number_of(nat,abs_abs(int,X1))),X2)))). 3.79/1.76 cnf(i_0_304, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),number_number_of(nat,abs_abs(int,X2)))))). 3.79/1.76 cnf(i_0_670, 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),plus_plus(int,X1,X1)),minus_minus(int,plus_plus(int,X2,X2),min))))). 3.79/1.76 cnf(i_0_1115, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),minus_minus(X1,abs_abs(X1,X2),abs_abs(X1,X3))),abs_abs(X1,minus_minus(X1,X2,X3))))|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_1413, plain, (hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),minus_minus(nat,X2,X3))))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2))|~hBOOL(hAPP(int,bool,X1,pls)))). 3.79/1.76 cnf(i_0_915, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(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)))). 3.79/1.76 cnf(i_0_285, 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),plus_plus(int,X1,X1)),minus_minus(int,plus_plus(int,X2,X2),min))))). 3.79/1.76 cnf(i_0_1318, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),minus_minus(nat,X1,X2)),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),plus_plus(nat,X3,X2))))). 3.79/1.76 cnf(i_0_169, 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),minus_minus(int,plus_plus(int,X1,X1),min)),plus_plus(int,X2,X2))))). 3.79/1.76 cnf(i_0_1110, 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),minus_minus(int,plus_plus(int,X1,X1),min)),plus_plus(int,X2,X2))))). 3.79/1.76 cnf(i_0_1179, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),abs_abs(X1,plus_plus(X1,X2,X3))),plus_plus(X1,abs_abs(X1,X2),abs_abs(X1,X3))))|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_1548, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),minus_minus(nat,X2,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),plus_plus(nat,X1,X3)),X2)))). 3.79/1.76 cnf(i_0_398, plain, (plus_plus(X1,number_number_of(X1,X2),number_number_of(X1,X3))=number_number_of(X1,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)))). 3.79/1.76 cnf(i_0_31, plain, (times_times(X1,number_number_of(X1,X2),number_number_of(X1,X3))=number_number_of(X1,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)))). 3.79/1.76 cnf(i_0_757, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~linordered_semidom(X3)|~hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),hAPP(nat,X3,semiring_1_of_nat(X3),X1)),hAPP(nat,X3,semiring_1_of_nat(X3),X2))))). 3.79/1.76 cnf(i_0_976, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,X1),times_times(nat,X2,X3)),one_one(int)),X4))|~hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,X1),X2),one_one(int)),X4)))). 3.79/1.76 cnf(i_0_580, 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)))). 3.79/1.76 cnf(i_0_1355, plain, (~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),minus_minus(int,one_one(int),min)),X1))|~hBOOL(hAPP(int,bool,zcong(X2,one_one(int)),X1))|~hBOOL(hAPP(int,bool,zcong(X2,min),X1)))). 3.79/1.76 cnf(i_0_1201, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2)))). 3.79/1.76 cnf(i_0_449, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),abs_abs(X1,minus_minus(X1,X2,X3))),plus_plus(X1,abs_abs(X1,X2),abs_abs(X1,X3))))|~ordere142940540dd_abs(X1))). 3.79/1.76 cnf(i_0_1173, plain, (plus_plus(nat,number_number_of(nat,X1),number_number_of(nat,X2))=number_number_of(nat,plus_plus(int,X1,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)))). 3.79/1.76 cnf(i_0_87, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~linordered_semidom(X3)|~hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less_eq(X3),hAPP(nat,X3,semiring_1_of_nat(X3),X1)),hAPP(nat,X3,semiring_1_of_nat(X3),X2))))). 3.79/1.76 cnf(i_0_539, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(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)))). 3.79/1.76 cnf(i_0_572, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(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)))). 3.79/1.76 cnf(i_0_1709, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(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))))). 3.79/1.76 cnf(i_0_529, 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),X2),X1)))). 3.79/1.76 cnf(i_0_454, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 3.79/1.76 cnf(i_0_981, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 3.79/1.76 cnf(i_0_1092, 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),X1)))). 3.79/1.76 cnf(i_0_630, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(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))))). 3.79/1.76 cnf(i_0_186, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(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))))). 3.79/1.76 cnf(i_0_1458, 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),zero_zero(nat)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X2)))). 3.79/1.76 cnf(i_0_104, 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),pls),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2)))). 3.79/1.76 cnf(i_0_914, 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),minus_minus(int,plus_plus(int,X1,X1),min)),minus_minus(int,plus_plus(int,X2,X2),min))))). 3.79/1.76 cnf(i_0_375, 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),minus_minus(int,plus_plus(int,X1,X1),min)),minus_minus(int,plus_plus(int,X2,X2),min))))). 3.79/1.76 cnf(i_0_1638, 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),X2),X1)))). 3.79/1.76 cnf(i_0_774, 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),plus_plus(nat,one_one(nat),one_one(nat))))))). 3.79/1.76 cnf(i_0_1144, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),number_number_of(X1,X2)))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X2)))). 3.79/1.76 cnf(i_0_1075, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),number_number_of(X1,X2)))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2)))). 3.79/1.76 cnf(i_0_433, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),number_number_of(X1,X2)),zero_zero(X1)))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),pls)))). 3.79/1.76 cnf(i_0_43, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),minus_minus(nat,plus_plus(nat,X2,X1),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)))). 3.79/1.76 cnf(i_0_427, plain, (X1=X2|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X1)))). 3.79/1.76 cnf(i_0_159, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),plus_plus(nat,X1,X2)),plus_plus(nat,X1,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3)))). 3.79/1.76 cnf(i_0_1698, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),number_number_of(X1,X2)),zero_zero(X1)))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),pls)))). 3.79/1.76 cnf(i_0_1666, plain, (minus_minus(nat,X1,plus_plus(nat,X2,minus_minus(nat,X3,X2)))=minus_minus(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)))). 3.79/1.76 cnf(i_0_928, 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(nat,int,power_power(int,X2),X3)))|~hBOOL(hAPP(int,bool,zprime,X1)))). 3.79/1.76 cnf(i_0_622, plain, (X1=zero_zero(nat)|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),times_times(nat,X2,X1)),times_times(nat,X3,X1))))). 3.79/1.76 cnf(i_0_84, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),plus_plus(nat,X1,X2)),plus_plus(nat,X3,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X3)))). 3.79/1.76 cnf(i_0_1181, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),plus_plus(nat,X1,X2)),plus_plus(nat,X1,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))). 3.79/1.76 cnf(i_0_988, 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),times_times(nat,X1,X2)),times_times(nat,X1,X3))))). 3.79/1.76 cnf(i_0_1593, plain, (plus_plus(X1,X2,X3)=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)))). 3.79/1.76 cnf(i_0_1051, plain, (plus_plus(int,pls,X1)=plus_plus(int,pls,X2)|number_number_of(nat,X1)!=number_number_of(nat,X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.76 cnf(i_0_1060, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),plus_plus(nat,X1,X2)),plus_plus(nat,X3,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3)))). 3.79/1.76 cnf(i_0_817, plain, (times_times(X1,times_times(X1,X2,X2),X2)=hAPP(nat,X1,power_power(X1,X2),number_number_of(nat,minus_minus(int,minus_minus(int,one_one(int),min),min)))|~monoid_mult(X1))). 3.79/1.76 cnf(i_0_1410, plain, (hBOOL(hAPP(int,bool,X1,minus_minus(int,hAPP(nat,int,semiring_1_of_nat(int),X2),hAPP(nat,int,semiring_1_of_nat(int),X3))))|~hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),minus_minus(nat,X2,X3))))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)))). 3.79/1.76 cnf(i_0_303, plain, (plus_plus(int,pls,X1)=plus_plus(int,pls,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),X2),X1)))). 3.79/1.76 cnf(i_0_5, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),minus_minus(nat,X1,X2)),minus_minus(nat,X1,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)))). 3.79/1.76 cnf(i_0_969, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),number_number_of(X1,X2)),number_number_of(X1,X3)))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3)))). 3.79/1.76 cnf(i_0_865, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),number_number_of(X1,X2)),number_number_of(X1,X3)))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3)))). 3.79/1.76 cnf(i_0_1610, 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)),times_times(X1,X3,X2)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3)))). 3.79/1.76 cnf(i_0_1329, 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)),times_times(X1,X2,X3)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3)))). 3.79/1.76 cnf(i_0_1673, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),minus_minus(nat,X1,X2)),minus_minus(nat,X3,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3)))). 3.79/1.76 cnf(i_0_238, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,esk9_2(X1,X2)),plus_plus(nat,one_one(nat),one_one(nat))),X2),X1))|~hBOOL(hAPP(int,bool,quadRes(X1),X2)))). 3.79/1.76 cnf(i_0_761, 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)),hAPP(nat,nat,power_power(nat,X3),X1))))). 3.79/1.76 cnf(i_0_998, plain, (hBOOL(hAPP(int,bool,zcong(X1,pls),X2))|~hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,X3),plus_plus(nat,one_one(nat),one_one(nat))),X1),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X3)))). 3.79/1.76 cnf(i_0_72, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),plus_plus(int,X1,X2)),plus_plus(int,X3,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X3)))). 3.79/1.76 cnf(i_0_1497, plain, (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),times_times(X1,X4,X3)),times_times(X1,X4,X2)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),zero_zero(X1))))). 3.79/1.76 cnf(i_0_645, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X4,X3)),times_times(X1,X4,X2)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),zero_zero(X1))))). 3.79/1.76 cnf(i_0_562, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linordered_semiring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X4,X2)),times_times(X1,X4,X3)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4)))). 3.79/1.76 cnf(i_0_1565, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X4,X2)),times_times(X1,X4,X3)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4)))). 3.79/1.76 cnf(i_0_204, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),plus_plus(int,X1,X1)),plus_plus(int,X2,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 3.79/1.76 cnf(i_0_354, plain, (plus_plus(int,pls,X1)=plus_plus(int,pls,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),minus_minus(int,X2,min))))). 3.79/1.76 cnf(i_0_1337, plain, (hAPP(nat,int,power_power(int,min),X1)=hAPP(nat,int,power_power(int,min),X2)|~hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,min),X1),hAPP(nat,int,power_power(int,min),X2)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),minus_minus(int,one_one(int),min)),X3)))). 3.79/1.76 cnf(i_0_820, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),number_number_of(nat,abs_abs(int,X1))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(nat,int,semiring_1_of_nat(int),X2))))). 3.79/1.76 cnf(i_0_305, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),number_number_of(nat,abs_abs(int,X2))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),X2)))). 3.79/1.76 cnf(i_0_370, plain, (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),times_times(X1,X4,X2)),times_times(X1,X4,X3)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4)))). 3.79/1.76 cnf(i_0_867, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linordered_semiring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X4)),times_times(X1,X3,X4)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4)))). 3.79/1.76 cnf(i_0_818, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X4)),times_times(X1,X3,X4)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X4)))). 3.79/1.76 cnf(i_0_1305, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X4,X2)),times_times(X1,X4,X3)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4)))). 3.79/1.76 cnf(i_0_1285, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),plus_plus(int,X1,X2)),plus_plus(int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),X3)))). 3.79/1.76 cnf(i_0_629, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),plus_plus(int,X1,X1)),plus_plus(int,X2,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 3.79/1.76 cnf(i_0_347, plain, (hAPP(nat,X1,power_power(X1,hAPP(nat,X1,power_power(X1,X2),X3)),plus_plus(nat,one_one(nat),one_one(nat)))=hAPP(nat,X1,power_power(X1,X2),times_times(nat,plus_plus(nat,one_one(nat),one_one(nat)),X3))|~monoid_mult(X1))). 3.79/1.76 cnf(i_0_280, plain, (ti(X1,X2)=ti(X1,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(X1),X3),X2))|~linordered_idom(X1))). 3.79/1.76 cnf(i_0_1128, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),plus_plus(int,X2,times_times(int,X1,X3))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2)))). 3.79/1.76 cnf(i_0_569, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X4,X2)),times_times(X1,X4,X3)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4)))). 3.79/1.76 cnf(i_0_833, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X2,X4)),times_times(X1,X3,X4)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4)))). 3.79/1.76 cnf(i_0_1333, plain, (plus_plus(int,pls,X1)=pls|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),times_times(int,X1,X2)),times_times(int,X1,X3))))). 3.79/1.76 cnf(i_0_55, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),esk2_1(X1)),X1))|hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1)))). 3.79/1.76 cnf(i_0_397, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),number_number_of(nat,minus_minus(int,X1,minus_minus(int,one_one(int),min)))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),minus_minus(int,one_one(int),min)),X1)))). 3.79/1.76 cnf(i_0_1119, plain, (hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),esk31_1(X1))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~hBOOL(hAPP(int,bool,X1,X2)))). 3.79/1.76 cnf(i_0_1414, plain, (hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),minus_minus(nat,X2,X3))))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3))|~hBOOL(hAPP(int,bool,X1,minus_minus(int,hAPP(nat,int,semiring_1_of_nat(int),X2),hAPP(nat,int,semiring_1_of_nat(int),X3)))))). 3.79/1.76 cnf(i_0_669, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),plus_plus(int,X1,X1)),minus_minus(int,plus_plus(int,X2,X2),min)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 3.79/1.76 cnf(i_0_1087, plain, (X1=plus_plus(nat,times_times(nat,minus_minus(nat,X2,X3),X4),X5)|plus_plus(nat,times_times(nat,X2,X4),X5)!=plus_plus(nat,times_times(nat,X3,X4),X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)))). 3.79/1.76 cnf(i_0_56, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),esk2_1(X1)))|hBOOL(hAPP(int,bool,zprime,X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1)))). 3.79/1.76 cnf(i_0_1090, 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),plus_plus(nat,X3,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)))). 3.79/1.76 cnf(i_0_1216, 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),minus_minus(int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X3)))). 3.79/1.76 cnf(i_0_623, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,X2,X3)),plus_plus(X1,X2,X4)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4)))). 3.79/1.76 cnf(i_0_1136, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,X2,X3)),plus_plus(X1,X2,X4)))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X4)))). 3.79/1.76 cnf(i_0_318, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),times_times(nat,X1,X2)),times_times(nat,X3,X2)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)))). 3.79/1.76 cnf(i_0_286, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),plus_plus(int,X1,X1)),minus_minus(int,plus_plus(int,X2,X2),min)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 3.79/1.76 cnf(i_0_170, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),minus_minus(int,plus_plus(int,X1,X1),min)),plus_plus(int,X2,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 3.79/1.76 cnf(i_0_1720, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),times_times(nat,X1,X2)),times_times(nat,X1,X3)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1)))). 3.79/1.76 cnf(i_0_108, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,X2,X3)),plus_plus(X1,X4,X3)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4)))). 3.79/1.76 cnf(i_0_515, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,X2,X3)),plus_plus(X1,X4,X3)))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4)))). 3.79/1.76 cnf(i_0_741, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,X2,X3)),plus_plus(X1,X2,X4)))|~ordere779506340up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4)))). 3.79/1.76 cnf(i_0_1456, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,X2,X3)),plus_plus(X1,X2,X4)))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X4)))). 3.79/1.76 cnf(i_0_864, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),times_times(nat,X1,X2)),times_times(nat,X1,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))). 3.79/1.76 cnf(i_0_1111, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),minus_minus(int,plus_plus(int,X1,X1),min)),plus_plus(int,X2,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 3.79/1.76 cnf(i_0_1591, 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),times_times(int,X2,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X2)))). 3.79/1.76 cnf(i_0_1088, plain, (plus_plus(nat,times_times(nat,plus_plus(nat,X1,minus_minus(nat,X2,X1)),X3),X4)=plus_plus(nat,times_times(nat,X2,X3),X4)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2)))). 3.79/1.76 cnf(i_0_1722, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,X2,X3)),plus_plus(X1,X4,X3)))|~ordere779506340up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4)))). 3.79/1.76 cnf(i_0_1101, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,X2,X3)),plus_plus(X1,X4,X3)))|~ordere236663937imp_le(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4)))). 3.79/1.76 cnf(i_0_558, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),times_times(X1,X2,X3)),times_times(X1,X2,X4)))|~idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X3),X4)))). 3.79/1.76 cnf(i_0_337, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),times_times(X1,X2,X3)),times_times(X1,X4,X3)))|~idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X4)))). 3.79/1.76 cnf(i_0_913, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),minus_minus(int,plus_plus(int,X1,X1),min)),minus_minus(int,plus_plus(int,X2,X2),min)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X2)))). 3.79/1.76 cnf(i_0_374, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),minus_minus(int,plus_plus(int,X1,X1),min)),minus_minus(int,plus_plus(int,X2,X2),min)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2)))). 3.79/1.76 cnf(i_0_58, plain, (plus_plus(int,pls,X1)=plus_plus(int,pls,X2)|one_one(int)=plus_plus(int,pls,X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2))|~hBOOL(hAPP(int,bool,zprime,X2)))). 3.79/1.76 cnf(i_0_568, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|~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(int),pls),X1)))). 3.79/1.77 cnf(i_0_317, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),times_times(nat,X1,X2)),times_times(nat,X3,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3)))). 3.79/1.77 cnf(i_0_1448, plain, (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)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)))). 3.79/1.77 cnf(i_0_266, plain, (times_times(X1,hAPP(nat,X1,power_power(X1,X2),minus_minus(nat,X3,one_one(nat))),X2)=hAPP(nat,X1,power_power(X1,X2),X3)|~monoid_mult(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))). 3.79/1.77 cnf(i_0_1007, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),plus_plus(int,X1,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.77 cnf(i_0_255, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),number_number_of(nat,X1)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.77 cnf(i_0_759, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),plus_plus(X1,esk21_3(X1,X3,X2),zero_zero(X1))))|~semiring_0(X1)|~dvd(X1)|~hBOOL(hAPP(X1,bool,X3,times_times(X1,X2,X4))))). 3.79/1.77 cnf(i_0_566, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|~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),pls),X2)))). 3.79/1.77 cnf(i_0_1052, plain, (number_number_of(nat,X1)=number_number_of(nat,X2)|plus_plus(int,pls,X1)!=plus_plus(int,pls,X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.77 cnf(i_0_322, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),minus_minus(real,X1,X2)),zero_zero(real)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X2)))). 3.79/1.77 cnf(i_0_990, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),times_times(nat,X1,X2)),times_times(nat,X1,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X3)))). 3.79/1.77 cnf(i_0_113, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),number_number_of(nat,X1)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.77 cnf(i_0_1460, plain, (minus_minus(X1,hAPP(nat,X1,semiring_1_of_nat(X1),X2),hAPP(nat,X1,semiring_1_of_nat(X1),X3))=hAPP(nat,X1,semiring_1_of_nat(X1),minus_minus(nat,X2,X3))|~ring_1(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)))). 3.79/1.77 cnf(i_0_61, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),number_number_of(nat,X1)),number_number_of(nat,X2)))|~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)))). 3.79/1.77 cnf(i_0_1354, plain, (plus_plus(int,pls,X1)=pls|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),abs_abs(int,X2)),abs_abs(int,X1)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X1)))). 3.79/1.77 cnf(i_0_1297, plain, (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)))|~linorder(X1)|~number(X1))). 3.79/1.77 cnf(i_0_758, plain, (hBOOL(hAPP(X1,bool,X2,times_times(X1,X3,esk22_3(X1,X2,X3))))|~semiring_0(X1)|~dvd(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X3),plus_plus(X1,X4,zero_zero(X1))))|~hBOOL(hAPP(X1,bool,X2,X4)))). 3.79/1.77 cnf(i_0_1613, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X3))|minus_minus(X1,X4,X5)!=minus_minus(X1,X2,X3)|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),X5)))). 3.79/1.77 cnf(i_0_1703, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X3))|minus_minus(X1,X4,X5)!=minus_minus(X1,X2,X3)|~ordered_ab_group_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),X5)))). 3.79/1.77 cnf(i_0_620, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),times_times(nat,X1,X2)),times_times(nat,X3,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)))). 3.79/1.77 cnf(i_0_1662, 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)),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),plus_plus(nat,X1,X2))))). 3.79/1.77 cnf(i_0_1476, 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),times_times(nat,plus_plus(nat,one_one(nat),one_one(nat)),X3))),zero_zero(X1))))). 3.79/1.77 cnf(i_0_1112, 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),X2),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X1)))). 3.79/1.77 cnf(i_0_450, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,times_times(X1,X2,X2),times_times(X1,X3,X3))),zero_zero(X1)))|ti(X1,X2)!=zero_zero(X1)|ti(X1,X3)!=zero_zero(X1)|~linord581940658strict(X1))). 3.79/1.77 cnf(i_0_613, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),hAPP(nat,X1,power_power(X1,X2),X3)))|~comm_semiring_1(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))). 3.79/1.77 cnf(i_0_1184, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),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)))). 3.79/1.77 cnf(i_0_663, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),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)))). 3.79/1.77 cnf(i_0_1415, plain, (hBOOL(hAPP(int,bool,X1,hAPP(nat,int,semiring_1_of_nat(int),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(nat),X2),X3)))). 3.79/1.77 cnf(i_0_1645, plain, (~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,X1,power_power(X1,X3),plus_plus(nat,one_one(nat),one_one(nat))))),zero_zero(X1))))). 3.79/1.77 cnf(i_0_1672, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),minus_minus(nat,X1,X2)),X1))|~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)),X2)))). 3.79/1.77 cnf(i_0_579, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),abs_abs(X1,minus_minus(X1,abs_abs(X1,X2),abs_abs(X1,X3)))),abs_abs(X1,minus_minus(X1,X2,X3))))|~ordere142940540dd_abs(X1))). 3.79/1.77 cnf(i_0_1334, plain, (plus_plus(int,pls,X1)=pls|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),times_times(int,X1,X2)),times_times(int,X1,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X3)))). 3.79/1.77 cnf(i_0_214, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),hAPP(nat,X1,semiring_1_of_nat(X1),X2)))|~linordered_semidom(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)))). 3.79/1.77 cnf(i_0_651, 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)))). 3.79/1.77 cnf(i_0_25, 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)))). 3.79/1.77 cnf(i_0_483, 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)))). 3.79/1.77 cnf(i_0_1425, plain, (hBOOL(hAPP(int,bool,zcong(hAPP(nat,int,power_power(int,X1),number_number_of(nat,minus_minus(int,X2,one_one(int)))),one_one(int)),X2))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X2),X1))|~hBOOL(hAPP(int,bool,zprime,X2)))). 3.79/1.77 cnf(i_0_602, 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),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),number_number_of(nat,X1)),number_number_of(nat,X2))))). 3.79/1.77 cnf(i_0_721, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(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)))). 3.79/1.77 cnf(i_0_1158, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),times_times(int,X1,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.77 cnf(i_0_1566, plain, (minus_minus(nat,plus_plus(nat,times_times(nat,X1,X2),X3),plus_plus(nat,times_times(nat,X4,X2),X5))=minus_minus(nat,X3,plus_plus(nat,times_times(nat,minus_minus(nat,X4,X1),X2),X5))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X4)))). 3.79/1.77 cnf(i_0_586, plain, (minus_minus(nat,plus_plus(nat,times_times(nat,X1,X2),X3),plus_plus(nat,times_times(nat,X4,X2),X5))=minus_minus(nat,plus_plus(nat,times_times(nat,minus_minus(nat,X1,X4),X2),X3),X5)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),X1)))). 3.79/1.77 cnf(i_0_1538, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),plus_plus(X1,X3,X4)))|~linordered_semidom(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),X2),X4)))). 3.79/1.77 cnf(i_0_284, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),plus_plus(X1,X3,X4)))|~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),X2),X4)))). 3.79/1.77 cnf(i_0_1232, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),plus_plus(X1,X3,X4)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4)))). 3.79/1.77 cnf(i_0_1687, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),plus_plus(X1,X3,X4)))|~ordere216010020id_add(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),X2),X3)))). 3.79/1.77 cnf(i_0_265, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),plus_plus(real,X1,X2)),plus_plus(real,X1,X3)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X2),X3)))). 3.79/1.77 cnf(i_0_256, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),number_number_of(nat,X1)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.77 cnf(i_0_117, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(nat,int,semiring_1_of_nat(int),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),number_number_of(nat,X1)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.77 cnf(i_0_1570, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),plus_plus(nat,X1,X2)),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),minus_minus(nat,X3,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))). 3.79/1.77 cnf(i_0_1311, 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,power_power(nat,X3),X1)),hAPP(nat,nat,power_power(nat,X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))). 3.79/1.77 cnf(i_0_332, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|plus_plus(nat,X3,X2)!=plus_plus(nat,X1,X4)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X4)))). 3.79/1.77 cnf(i_0_1062, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),plus_plus(X1,X3,X4)))|~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),X2),X4)))). 3.79/1.77 cnf(i_0_78, plain, (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),times_times(real,X1,X3)),times_times(real,X2,X3)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X3)))). 3.79/1.77 cnf(i_0_1300, 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),times_times(real,X3,X1)),times_times(real,X3,X2)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X3)))). 3.79/1.77 cnf(i_0_890, 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),times_times(real,X1,X3)),times_times(real,X2,X3)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X3)))). 3.79/1.77 cnf(i_0_191, 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),hAPP(nat,nat,power_power(nat,X3),X1)),hAPP(nat,nat,power_power(nat,X3),X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),one_one(nat)),X3)))). 3.79/1.77 cnf(i_0_385, plain, (plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,X1,power_power(X1,X3),plus_plus(nat,one_one(nat),one_one(nat))))=zero_zero(X1)|ti(X1,X3)!=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~linordered_idom(X1))). 3.79/1.77 cnf(i_0_980, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),hAPP(nat,int,power_power(int,X2),X3)))|~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),X2)))). 3.79/1.77 cnf(i_0_1109, 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),times_times(nat,X3,X1)),times_times(nat,X3,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))). 3.79/1.77 cnf(i_0_319, 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),times_times(nat,X1,X3)),times_times(nat,X2,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))). 3.79/1.77 cnf(i_0_1543, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),number_number_of(nat,X1)),number_number_of(nat,X2)))|~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),X1),X2)))). 3.79/1.77 cnf(i_0_379, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),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)))). 3.79/1.77 cnf(i_0_1364, plain, (zero_zero(nat)=X1|X2=X1|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),times_times(nat,plus_plus(nat,one_one(nat),one_one(nat)),X2)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X2),X1)))). 3.79/1.77 cnf(i_0_924, 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),times_times(nat,X3,X1)),times_times(nat,X3,X2)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3)))). 3.79/1.77 cnf(i_0_869, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),one_one(int)))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),number_number_of(X2,X1)),one_one(X2))))). 3.79/1.77 cnf(i_0_742, plain, (times_times(X1,abs_abs(X1,X2),abs_abs(X1,X3))=abs_abs(X1,times_times(X1,X2,X3))|~ordered_ring_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1))))). 3.79/1.77 cnf(i_0_743, plain, (times_times(X1,abs_abs(X1,X2),abs_abs(X1,X3))=abs_abs(X1,times_times(X1,X2,X3))|~ordered_ring_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))). 3.79/1.77 cnf(i_0_744, plain, (times_times(X1,abs_abs(X1,X2),abs_abs(X1,X3))=abs_abs(X1,times_times(X1,X2,X3))|~ordered_ring_abs(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))). 3.79/1.77 cnf(i_0_745, plain, (times_times(X1,abs_abs(X1,X2),abs_abs(X1,X3))=abs_abs(X1,times_times(X1,X2,X3))|~ordered_ring_abs(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_eq(X1),zero_zero(X1)),X3)))). 3.79/1.77 cnf(i_0_1250, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat)))))|~linordered_idom(X1))). 3.79/1.77 cnf(i_0_1571, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),minus_minus(nat,X2,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),plus_plus(nat,X1,X3)),X2)))). 3.79/1.77 cnf(i_0_1489, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),plus_plus(int,X2,times_times(int,minus_minus(int,abs_abs(int,minus_minus(int,X2,X1)),min),X3))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X3)))). 3.79/1.77 cnf(i_0_1607, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),one_one(int)))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),number_number_of(X2,X1)),one_one(X2))))). 3.79/1.77 cnf(i_0_1217, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),minus_minus(int,X1,times_times(int,minus_minus(int,abs_abs(int,minus_minus(int,X1,X2)),min),X3))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X3)))). 3.79/1.77 cnf(i_0_581, 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(X1),hAPP(nat,X1,power_power(X1,X2),X4)),hAPP(nat,X1,power_power(X1,X3),X4)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))). 3.79/1.77 cnf(i_0_1683, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X3))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X4),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X4)))). 3.79/1.77 cnf(i_0_1647, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),plus_plus(X1,X3,X4)))|~comm_ring(X1)|~dvd(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),plus_plus(X1,minus_minus(X1,X3,times_times(X1,X5,X6)),X4)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X6)))). 3.79/1.77 cnf(i_0_756, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),hAPP(nat,X1,semiring_1_of_nat(X1),X3)))|~linordered_semidom(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X3)))). 3.79/1.77 cnf(i_0_1689, plain, (plus_plus(int,pls,X1)=minus_minus(int,X2,one_one(int))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),minus_minus(int,X2,one_one(int))))|~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),X1),X2)))). 3.79/1.77 cnf(i_0_1342, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),plus_plus(nat,X1,X2)),plus_plus(nat,X3,X4)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X2),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X3)))). 3.79/1.77 cnf(i_0_161, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),minus_minus(nat,X1,X2)),minus_minus(nat,X1,X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X2)))). 3.79/1.77 cnf(i_0_842, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),minus_minus(nat,X1,X2)),minus_minus(nat,X3,X2)))|~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),X1)))). 3.79/1.77 cnf(i_0_870, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),number_number_of(X1,X2)),one_one(X1)))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),one_one(int))))). 3.79/1.77 cnf(i_0_86, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),hAPP(nat,X1,semiring_1_of_nat(X1),X3)))|~linordered_semidom(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X3)))). 3.79/1.77 cnf(i_0_965, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),plus_plus(X1,times_times(X1,minus_minus(X1,X3,X4),X5),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,times_times(X1,X4,X5),X2)),plus_plus(X1,times_times(X1,X3,X5),X6))))). 3.79/1.77 cnf(i_0_521, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),plus_plus(X1,times_times(X1,minus_minus(X1,X3,X4),X5),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,times_times(X1,X4,X5),X2)),plus_plus(X1,times_times(X1,X3,X5),X6))))). 3.79/1.77 cnf(i_0_1189, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,times_times(X1,minus_minus(X1,X2,X3),X4),X5)),X6))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,times_times(X1,X2,X4),X5)),plus_plus(X1,times_times(X1,X3,X4),X6))))). 3.79/1.77 cnf(i_0_1590, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,times_times(X1,minus_minus(X1,X2,X3),X4),X5)),X6))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,times_times(X1,X2,X4),X5)),plus_plus(X1,times_times(X1,X3,X4),X6))))). 3.79/1.77 cnf(i_0_735, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),plus_plus(nat,X1,X2)),plus_plus(nat,X3,X4)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3)))). 3.79/1.77 cnf(i_0_1291, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),plus_plus(int,X1,X2)),plus_plus(int,X3,X4)))|~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),X2),X4)))). 3.79/1.77 cnf(i_0_547, plain, (minus_minus(int,X1,one_one(int))=plus_plus(int,pls,X2)|plus_plus(int,pls,X2)=one_one(int)|~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),X2),X1))|~hBOOL(hAPP(int,bool,zcong(times_times(int,X2,X2),one_one(int)),X1))|~hBOOL(hAPP(int,bool,zprime,X1)))). 3.79/1.77 cnf(i_0_1608, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),number_number_of(X1,X2)),one_one(X1)))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),one_one(int))))). 3.79/1.77 cnf(i_0_787, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),esk23_3(X2,X1,X3)))|hBOOL(hAPP(int,bool,X2,X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X3))|~hBOOL(hAPP(int,bool,X2,minus_minus(int,X1,min))))). 3.79/1.77 cnf(i_0_247, plain, (~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),plus_plus(nat,times_times(nat,X2,X1),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X1)))). 3.79/1.77 cnf(i_0_855, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(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))))). 3.79/1.77 cnf(i_0_996, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),times_times(X1,X2,X3)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1))))). 3.79/1.77 cnf(i_0_391, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),times_times(nat,X1,X2)),times_times(nat,X3,X4)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3)))). 3.79/1.77 cnf(i_0_723, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),plus_plus(int,X2,X3)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),plus_plus(int,X2,plus_plus(int,times_times(int,X4,X5),X3))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X5)))). 3.79/1.77 cnf(i_0_275, plain, (ti(X1,X2)=zero_zero(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,hAPP(nat,X1,power_power(X1,X3),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat))))),zero_zero(X1))))). 3.79/1.77 cnf(i_0_274, plain, (ti(X1,X2)=zero_zero(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,X1,power_power(X1,X3),plus_plus(nat,one_one(nat),one_one(nat))))),zero_zero(X1))))). 3.79/1.77 cnf(i_0_277, plain, (minus_minus(int,minus_minus(int,one_one(int),min),min)=plus_plus(int,pls,X1)|plus_plus(int,pls,X1)=minus_minus(int,one_one(int),min)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),minus_minus(int,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)),min)),X1))|~hBOOL(hAPP(int,bool,zprime,X1)))). 3.79/1.77 cnf(i_0_1389, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X1))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less(X2),one_one(X2)),number_number_of(X2,X1))))). 3.79/1.77 cnf(i_0_475, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),times_times(nat,X1,X2)),times_times(nat,X1,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),X2),X3)))). 3.79/1.77 cnf(i_0_966, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(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))))). 3.79/1.77 cnf(i_0_722, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(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)))). 3.79/1.77 cnf(i_0_617, 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(int),plus_plus(int,times_times(int,X2,X1),X3)),pls))|~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_eq(int),pls),X3)))). 3.79/1.77 cnf(i_0_440, plain, (times_times(X1,hAPP(nat,X1,power_power(X1,X2),X3),hAPP(nat,X1,power_power(X1,X2),X3))=hAPP(nat,X1,power_power(X1,X2),times_times(nat,plus_plus(nat,one_one(nat),one_one(nat)),X3))|~comm_semiring_1(X1))). 3.79/1.77 cnf(i_0_1370, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),X1))|~number_ring(X2)|~linordered_idom(X2)|~hBOOL(hAPP(X2,bool,hAPP(X2,fun(X2,bool),ord_less_eq(X2),one_one(X2)),number_number_of(X2,X1))))). 3.79/1.77 cnf(i_0_192, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),times_times(nat,X1,X2)),times_times(nat,X3,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),X1),X3)))). 3.79/1.77 cnf(i_0_1419, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(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)))). 3.79/1.77 cnf(i_0_1697, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(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)))). 3.79/1.77 cnf(i_0_300, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),number_number_of(nat,X1)),number_number_of(nat,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.77 cnf(i_0_516, 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),plus_plus(int,times_times(int,X2,X1),X3)))|~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),X3),X2)))). 3.79/1.77 cnf(i_0_1390, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),number_number_of(X1,X2)))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),X2)))). 3.79/1.77 cnf(i_0_995, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),times_times(X1,X2,X3)))|~linord581940658strict(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_eq(X1),zero_zero(X1)),X3)))). 3.79/1.77 cnf(i_0_919, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(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)))). 3.79/1.77 cnf(i_0_967, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(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)))). 3.79/1.77 cnf(i_0_10, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(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))))). 3.79/1.77 cnf(i_0_1230, 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),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),dvd_dvd(nat),X1),X3)))). 3.79/1.77 cnf(i_0_963, 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),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),dvd_dvd(nat),X1),X3)))). 3.79/1.77 cnf(i_0_372, 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),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X3)))). 3.79/1.77 cnf(i_0_1644, 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),X3),X2))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),X1),X3)))). 3.79/1.77 cnf(i_0_1369, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),one_one(X1)),number_number_of(X1,X2)))|~number_ring(X1)|~linordered_idom(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),X2)))). 3.79/1.77 cnf(i_0_1373, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,X2,X3)),zero_zero(X1)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1))))). 3.79/1.77 cnf(i_0_695, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,X2,X3)),zero_zero(X1)))|~ordere216010020id_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),zero_zero(X1))))). 3.79/1.77 cnf(i_0_492, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(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))))). 3.79/1.77 cnf(i_0_1325, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(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)))). 3.79/1.77 cnf(i_0_69, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),times_times(int,X1,X2)),times_times(int,X1,X3)))|~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),X2),X3)))). 3.79/1.77 cnf(i_0_1125, 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),X3),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X3)))). 3.79/1.77 cnf(i_0_234, plain, (ti(X1,X2)!=zero_zero(X1)|ti(X1,X3)!=zero_zero(X1)|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),plus_plus(X1,hAPP(nat,X1,power_power(X1,X3),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat)))))))). 3.79/1.77 cnf(i_0_975, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),hAPP(nat,X1,power_power(X1,X2),times_times(nat,plus_plus(nat,one_one(nat),one_one(nat)),X3))))|~linordered_idom(X1))). 3.79/1.77 cnf(i_0_773, 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),plus_plus(nat,one_one(nat),one_one(nat)))))|~linordered_idom(X1))). 3.79/1.77 cnf(i_0_992, plain, (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_eq(X1),X3),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),times_times(X1,X3,X2))))). 3.79/1.77 cnf(i_0_846, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(nat,X1,power_power(X1,X2),X3)),hAPP(nat,X1,power_power(X1,X2),X4)))|~comm_semiring_1(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X4)))). 3.79/1.77 cnf(i_0_1387, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(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)))). 3.79/1.77 cnf(i_0_7, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(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)))). 3.79/1.77 cnf(i_0_938, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(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)))). 3.79/1.77 cnf(i_0_190, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),esk6_2(X1,X2)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)))). 3.79/1.77 cnf(i_0_1442, 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),minus_minus(nat,X1,X3)),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)))). 3.79/1.77 cnf(i_0_1068, 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),minus_minus(nat,X1,X3)),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)))). 3.79/1.77 cnf(i_0_38, plain, (plus_plus(int,pls,X1)=plus_plus(int,pls,esk1_0)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min)))|~hBOOL(hAPP(int,bool,zcong(s1,X1),minus_minus(int,times_times(int,m,plus_plus(int,pls,minus_minus(int,minus_minus(int,one_one(int),min),plus_plus(int,min,min)))),min)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1)))). 3.79/1.77 cnf(i_0_45, 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),times_times(int,X2,X3)))|~hBOOL(hAPP(int,bool,zprime,X1)))). 3.79/1.77 cnf(i_0_993, plain, (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_eq(X1),X3),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),times_times(X1,X2,X3))))). 3.79/1.77 cnf(i_0_1524, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),esk39_2(X1,X2)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)))). 3.79/1.77 cnf(i_0_288, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X2,X3)),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),zero_zero(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))). 3.79/1.77 cnf(i_0_289, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(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)))). 3.79/1.77 cnf(i_0_453, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(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)))). 3.79/1.77 cnf(i_0_1446, plain, (plus_plus(int,pls,X1)=plus_plus(int,pls,X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1))|~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)))). 3.79/1.77 cnf(i_0_484, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),times_times(int,hAPP(nat,int,semiring_1_of_nat(int),X1),X2)),times_times(int,hAPP(nat,int,semiring_1_of_nat(int),X1),X3)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3)))). 3.79/1.77 cnf(i_0_994, plain, (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_eq(X1),X2),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),times_times(X1,X3,X2))))). 3.79/1.77 cnf(i_0_1540, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(nat,X1,power_power(X1,X2),X3)),hAPP(nat,X1,power_power(X1,X4),X3)))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X4)))). 3.79/1.77 cnf(i_0_1515, 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),X3),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X4,X3)),times_times(X1,X4,X2))))). 3.79/1.77 cnf(i_0_358, 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),X3),X2))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X4)),times_times(X1,X3,X4))))). 3.79/1.77 cnf(i_0_724, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),plus_plus(int,X2,plus_plus(int,times_times(int,X3,X4),X5))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),plus_plus(int,X2,X5)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X4)))). 3.79/1.77 cnf(i_0_301, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),number_number_of(nat,X1)),number_number_of(nat,X2)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),X1),X2)))). 3.79/1.77 cnf(i_0_174, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),times_times(int,minus_minus(int,one_one(int),min),abs_abs(int,minus_minus(int,X1,times_times(int,X2,esk5_2(X1,X2)))))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X2)))). 3.79/1.77 cnf(i_0_814, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),one_one(int)))|plus_plus(int,X2,times_times(int,X3,X1))!=plus_plus(int,pls,X3)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2)))). 3.79/1.77 cnf(i_0_1093, plain, (plus_plus(X1,hAPP(nat,X1,semiring_1_of_nat(X1),number_number_of(nat,X2)),hAPP(nat,X1,semiring_1_of_nat(X1),number_number_of(nat,X2)))=hAPP(nat,X1,semiring_1_of_nat(X1),number_number_of(nat,times_times(int,minus_minus(int,one_one(int),min),X2)))|~semiring_1(X1)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2)))). 3.79/1.77 cnf(i_0_1523, plain, (esk39_2(hAPP(nat,real,power_power(real,X1),X2),X2)=X1|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),hAPP(nat,real,power_power(real,X1),X2)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(real)),X1))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X2)))). 3.79/1.77 cnf(i_0_1445, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,semiring_1_of_nat(X1),X2)),hAPP(nat,X1,power_power(X1,number_number_of(X1,minus_minus(int,one_one(int),min))),X2)))|~number_ring(X1)|~linordered_idom(X1))). 3.79/1.77 cnf(i_0_412, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),X2))|~linordered_semidom(X3)|~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)))|~hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),one_one(X3)),X4)))). 3.79/1.77 cnf(i_0_415, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X2))|~linordered_semidom(X3)|~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)))|~hBOOL(hAPP(X3,bool,hAPP(X3,fun(X3,bool),ord_less(X3),one_one(X3)),X4)))). 3.79/1.77 cnf(i_0_1226, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),zero_zero(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)))). 3.79/1.77 cnf(i_0_1050, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),X1))|plus_plus(int,X2,times_times(int,X3,X1))!=plus_plus(int,pls,X3)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X2),X3)))). 3.79/1.77 cnf(i_0_330, 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),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),X2),X3))|~hBOOL(hAPP(int,bool,zcong(X2,X1),X3)))). 3.79/1.77 cnf(i_0_991, plain, (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_eq(X1),X2),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),times_times(X1,X2,X3))))). 3.79/1.77 cnf(i_0_1507, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),hAPP(nat,X1,power_power(X1,X2),X3)),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)))). 3.79/1.77 cnf(i_0_60, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,X2,X3)),plus_plus(X1,X4,X5)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4)))). 3.79/1.77 cnf(i_0_861, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,X2,X3)),plus_plus(X1,X4,X5)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4)))). 3.79/1.77 cnf(i_0_1422, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,X2,X3)),plus_plus(X1,X4,X5)))|~ordere223160158up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X5)))). 3.79/1.77 cnf(i_0_334, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,X2,X3)),plus_plus(X1,X4,X5)))|~ordere779506340up_add(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4)))). 3.79/1.77 cnf(i_0_13, 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(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X2)))). 3.79/1.77 cnf(i_0_1302, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X1),plus_plus(nat,times_times(nat,minus_minus(nat,X2,X3),X4),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),plus_plus(nat,times_times(nat,X3,X4),X1)),plus_plus(nat,times_times(nat,X2,X4),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)))). 3.79/1.77 cnf(i_0_1407, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),plus_plus(nat,times_times(nat,minus_minus(nat,X2,X3),X4),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),plus_plus(nat,times_times(nat,X3,X4),X1)),plus_plus(nat,times_times(nat,X2,X4),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X2)))). 3.79/1.77 cnf(i_0_168, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(nat,int,power_power(int,X1),X2)),X3))|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),hAPP(nat,int,power_power(int,X1),X2)),times_times(int,X3,X4)))|~hBOOL(hAPP(int,bool,zprime,X1)))). 3.79/1.77 cnf(i_0_480, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(nat,int,power_power(int,X1),X2)),X3))|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),hAPP(nat,int,power_power(int,X1),X2)),times_times(int,X4,X3)))|~hBOOL(hAPP(int,bool,zprime,X1)))). 3.79/1.77 cnf(i_0_1380, plain, (hBOOL(hAPP(int,bool,zcong(X1,minus_minus(int,X2,one_one(int))),X2))|hBOOL(hAPP(int,bool,zcong(X1,one_one(int)),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X1))|~hBOOL(hAPP(int,bool,zcong(times_times(int,X1,X1),one_one(int)),X2))|~hBOOL(hAPP(int,bool,zprime,X2)))). 3.79/1.77 cnf(i_0_686, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),abs_abs(X1,minus_minus(X1,plus_plus(X1,X2,X3),plus_plus(X1,X4,X5)))),plus_plus(X1,abs_abs(X1,minus_minus(X1,X2,X4)),abs_abs(X1,minus_minus(X1,X3,X5)))))|~ordere142940540dd_abs(X1))). 3.79/1.77 cnf(i_0_107, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),times_times(X1,X2,X3)),times_times(X1,X4,X5)))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X3),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X4)))). 3.79/1.77 cnf(i_0_292, 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),X3),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X2,X3)),zero_zero(X1))))). 3.79/1.77 cnf(i_0_293, plain, (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_eq(X1),X2),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X3,X2)),zero_zero(X1))))). 3.79/1.77 cnf(i_0_290, plain, (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_eq(X1),X2),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X2,X3)),zero_zero(X1))))). 3.79/1.77 cnf(i_0_291, plain, (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_eq(X1),zero_zero(X1)),X3))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X3,X2)),zero_zero(X1))))). 3.79/1.77 cnf(i_0_808, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),plus_plus(nat,times_times(nat,minus_minus(nat,X1,X2),X3),X4)),X5))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),plus_plus(nat,times_times(nat,X1,X3),X4)),plus_plus(nat,times_times(nat,X2,X3),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))). 3.79/1.77 cnf(i_0_1725, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),plus_plus(nat,times_times(nat,minus_minus(nat,X1,X2),X3),X4)),X5))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),plus_plus(nat,times_times(nat,X1,X3),X4)),plus_plus(nat,times_times(nat,X2,X3),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X2),X1)))). 3.79/1.77 cnf(i_0_1038, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),hAPP(nat,real,power_power(real,X1),plus_plus(nat,one_one(nat),one_one(nat)))),one_one(real)))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),abs_abs(real,X1)),one_one(real))))). 3.79/1.77 cnf(i_0_1045, plain, (hBOOL(hAPP(int,bool,X1,plus_plus(int,X2,times_times(int,X3,X4))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X3))|~hBOOL(hAPP(int,bool,X1,plus_plus(int,X4,esk29_3(X3,X1,X4))))|~hBOOL(hAPP(int,bool,X1,X2)))). 3.79/1.77 cnf(i_0_1057, 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),X3),X2))|~hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),X1),X3)))). 3.79/1.77 cnf(i_0_77, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),times_times(real,X1,X2)),times_times(real,X3,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),X1),X3)))). 3.79/1.77 cnf(i_0_1514, 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),X3),X4))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X3)),times_times(X1,X2,X4))))). 3.79/1.77 cnf(i_0_360, 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),X3),X4))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X3,X2)),times_times(X1,X4,X2))))). 3.79/1.77 cnf(i_0_357, plain, (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),X3),X4))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X4,X2)),times_times(X1,X3,X2))))). 3.79/1.77 cnf(i_0_1513, plain, (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),X3),X4))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X4)),times_times(X1,X2,X3))))). 3.79/1.77 cnf(i_0_1067, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),times_times(real,X1,X2)),times_times(real,X1,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(real),X2),X3)))). 3.79/1.77 cnf(i_0_1479, plain, (hBOOL(hAPP(int,bool,X1,minus_minus(int,X2,times_times(int,X3,X4))))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X3))|~hBOOL(hAPP(int,bool,X1,minus_minus(int,esk38_3(X3,X1,X4),X4)))|~hBOOL(hAPP(int,bool,X1,X2)))). 3.79/1.77 cnf(i_0_1097, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,X1,power_power(X1,X3),plus_plus(nat,one_one(nat),one_one(nat))))))|~linordered_idom(X1))). 3.79/1.77 cnf(i_0_1301, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),plus_plus(nat,times_times(nat,X1,X2),X3)),plus_plus(nat,times_times(nat,X4,X2),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),plus_plus(nat,times_times(nat,minus_minus(nat,X4,X1),X2),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X4)))). 3.79/1.77 cnf(i_0_359, plain, (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),X2),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X3,X2)),times_times(X1,X4,X2))))). 3.79/1.77 cnf(i_0_1299, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),times_times(real,X1,X2)),times_times(real,X1,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),X2),X3)))). 3.79/1.77 cnf(i_0_737, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X3)),times_times(X1,X2,X4)))|~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),X4),X3)))). 3.79/1.77 cnf(i_0_362, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X3)),times_times(X1,X4,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),X4),X2)))). 3.79/1.77 cnf(i_0_889, plain, (hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),times_times(real,X1,X2)),times_times(real,X3,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_eq(real),X1),X3)))). 3.79/1.77 cnf(i_0_1406, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),plus_plus(nat,times_times(nat,X1,X2),X3)),plus_plus(nat,times_times(nat,X4,X2),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),plus_plus(nat,times_times(nat,minus_minus(nat,X4,X1),X2),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X1),X4)))). 3.79/1.77 cnf(i_0_809, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),plus_plus(nat,times_times(nat,X1,X2),X3)),plus_plus(nat,times_times(nat,X4,X2),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),plus_plus(nat,times_times(nat,minus_minus(nat,X1,X4),X2),X3)),X5))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),X1)))). 3.79/1.77 cnf(i_0_1726, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),plus_plus(nat,times_times(nat,X1,X2),X3)),plus_plus(nat,times_times(nat,X4,X2),X5)))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),plus_plus(nat,times_times(nat,minus_minus(nat,X1,X4),X2),X3)),X5))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),X1)))). 3.79/1.77 cnf(i_0_1245, plain, (plus_plus(int,pls,X1)=plus_plus(int,pls,X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X2))|~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),X2),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X1),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 3.79/1.77 cnf(i_0_1512, plain, (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),X2),zero_zero(X1)))|~linord581940658strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X3)),times_times(X1,X2,X4))))). 3.79/1.77 cnf(i_0_1046, plain, (hBOOL(hAPP(int,bool,X1,plus_plus(int,X2,times_times(int,X3,X4))))|hBOOL(hAPP(int,bool,X1,esk29_3(X3,X1,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X3))|~hBOOL(hAPP(int,bool,X1,X2)))). 3.79/1.77 cnf(i_0_1223, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X2,X3)),times_times(X1,X2,X4)))|~ordered_ring(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),X4),X3)))). 3.79/1.77 cnf(i_0_646, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X2,X3)),times_times(X1,X2,X4)))|~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),X4),X3)))). 3.79/1.77 cnf(i_0_789, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X2,X3)),times_times(X1,X4,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),X4),X2)))). 3.79/1.77 cnf(i_0_1480, plain, (hBOOL(hAPP(int,bool,X1,minus_minus(int,X2,times_times(int,X3,X4))))|hBOOL(hAPP(int,bool,X1,esk38_3(X3,X1,X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X3))|~hBOOL(hAPP(int,bool,X1,X2)))). 3.79/1.77 cnf(i_0_340, plain, (hAPP(nat,int,X1,esk16_3(X2,X1,X3))=plus_plus(int,pls,X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),abs_abs(int,minus_minus(int,hAPP(nat,int,X1,plus_plus(nat,one_one(nat),esk15_3(X2,X1,X3))),hAPP(nat,int,X1,esk15_3(X2,X1,X3))))),one_one(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,zero_zero(nat))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3))))). 3.79/1.77 cnf(i_0_1676, plain, (hAPP(nat,int,X1,esk43_3(X2,X1,X3))=plus_plus(int,pls,X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),abs_abs(int,minus_minus(int,hAPP(nat,int,X1,plus_plus(nat,one_one(nat),esk42_3(X2,X1,X3))),hAPP(nat,int,X1,esk42_3(X2,X1,X3))))),one_one(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,zero_zero(nat))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3))))). 3.79/1.77 cnf(i_0_494, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X3)),times_times(X1,X2,X4)))|~linord893533164strict(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),X3),X4)))). 3.79/1.77 cnf(i_0_123, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X3)),times_times(X1,X2,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(X1),X3),X4)))). 3.79/1.77 cnf(i_0_369, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X3)),times_times(X1,X2,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),X3),X4)))). 3.79/1.77 cnf(i_0_1076, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X3)),times_times(X1,X4,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),X2),X4)))). 3.79/1.77 cnf(i_0_361, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X3)),times_times(X1,X4,X3)))|~linord581940658strict(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),X2),X4)))). 3.79/1.77 cnf(i_0_1611, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X2,X3)),times_times(X1,X2,X4)))|~ordered_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_eq(X1),X3),X4)))). 3.79/1.77 cnf(i_0_233, plain, (ti(X1,X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),plus_plus(X1,hAPP(nat,X1,power_power(X1,X3),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat))))))|~linordered_idom(X1))). 3.79/1.77 cnf(i_0_232, plain, (ti(X1,X2)=zero_zero(X1)|hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,X1,power_power(X1,X3),plus_plus(nat,one_one(nat),one_one(nat))))))|~linordered_idom(X1))). 3.79/1.77 cnf(i_0_1082, 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),plus_plus(int,times_times(int,X3,X2),X4)),plus_plus(int,times_times(int,X3,X1),X5)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X5),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),X5))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X3),X4)))). 3.79/1.77 cnf(i_0_570, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X2,X3)),times_times(X1,X2,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),X3),X4)))). 3.79/1.77 cnf(i_0_704, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X2,X3)),times_times(X1,X2,X4)))|~ordere1490568538miring(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_eq(X1),X3),X4)))). 3.79/1.77 cnf(i_0_784, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X2,X3)),times_times(X1,X4,X3)))|~ordered_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_eq(X1),X2),X4)))). 3.79/1.77 cnf(i_0_964, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,times_times(X1,X2,X3),X4)),plus_plus(X1,times_times(X1,X5,X3),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X4),plus_plus(X1,times_times(X1,minus_minus(X1,X5,X2),X3),X6))))). 3.79/1.77 cnf(i_0_522, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,times_times(X1,X2,X3),X4)),plus_plus(X1,times_times(X1,X5,X3),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X4),plus_plus(X1,times_times(X1,minus_minus(X1,X5,X2),X3),X6))))). 3.79/1.77 cnf(i_0_1188, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,times_times(X1,X2,X3),X4)),plus_plus(X1,times_times(X1,X5,X3),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,times_times(X1,minus_minus(X1,X2,X5),X3),X4)),X6)))). 3.79/1.77 cnf(i_0_859, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(nat,X1,power_power(X1,X2),X3)),hAPP(nat,X1,power_power(X1,X4),X5)))|~comm_semiring_1(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X4)))). 3.79/1.77 cnf(i_0_775, 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),plus_plus(int,times_times(int,X3,X1),X4)),plus_plus(int,times_times(int,X3,X2),X5)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X5),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X4),X3)))). 3.79/1.77 cnf(i_0_342, plain, (hAPP(nat,int,X1,esk16_3(X2,X1,X3))=plus_plus(int,pls,X2)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk15_3(X2,X1,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,zero_zero(nat))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3))))). 3.79/1.77 cnf(i_0_1678, plain, (hAPP(nat,int,X1,esk43_3(X2,X1,X3))=plus_plus(int,pls,X2)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk42_3(X2,X1,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X1,zero_zero(nat))),X2))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X2),hAPP(nat,int,X1,X3))))). 3.79/1.77 cnf(i_0_276, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,X1,power_power(X1,X3),plus_plus(nat,one_one(nat),one_one(nat))))),zero_zero(X1)))|ti(X1,X3)!=zero_zero(X1)|ti(X1,X2)!=zero_zero(X1)|~linordered_idom(X1))). 3.79/1.77 cnf(i_0_1713, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,abs_abs(X1,X2),abs_abs(X1,X3))),times_times(X1,X4,X5)))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),abs_abs(X1,X3)),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),abs_abs(X1,X2)),X4)))). 3.79/1.77 cnf(i_0_1589, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,times_times(X1,X2,X3),X4)),plus_plus(X1,times_times(X1,X5,X3),X6)))|~ordered_ring(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,times_times(X1,minus_minus(X1,X2,X5),X3),X4)),X6)))). 3.79/1.77 cnf(i_0_1648, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),plus_plus(X1,minus_minus(X1,X3,times_times(X1,X4,X5)),X6)))|~comm_ring(X1)|~dvd(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),plus_plus(X1,X3,X6)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),X2),X5)))). 3.79/1.77 cnf(i_0_715, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X2,X3)),X3))|~linordered_idom(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),one_one(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_eq(X1),zero_zero(X1)),X3)))). 3.79/1.77 cnf(i_0_587, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(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)))). 3.79/1.77 cnf(i_0_421, plain, (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)))|~linordered_semidom(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X2)))). 3.79/1.77 cnf(i_0_343, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk16_3(X1,X2,X3)),X3))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk15_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,zero_zero(nat))),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3))))). 3.79/1.77 cnf(i_0_1677, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk43_3(X1,X2,X3)),X3))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),esk42_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,zero_zero(nat))),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3))))). 3.79/1.77 cnf(i_0_736, plain, (plus_plus(X1,plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,X1,power_power(X1,X3),plus_plus(nat,one_one(nat),one_one(nat)))),times_times(X1,times_times(X1,number_number_of(X1,minus_minus(int,one_one(int),min)),X2),X3))=hAPP(nat,X1,power_power(X1,plus_plus(X1,X2,X3)),plus_plus(nat,one_one(nat),one_one(nat)))|~number_semiring(X1))). 3.79/1.77 cnf(i_0_901, plain, (minus_minus(X1,plus_plus(X1,hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat))),hAPP(nat,X1,power_power(X1,X3),plus_plus(nat,one_one(nat),one_one(nat)))),times_times(X1,times_times(X1,number_number_of(X1,minus_minus(int,one_one(int),min)),X2),X3))=hAPP(nat,X1,power_power(X1,minus_minus(X1,X2,X3)),plus_plus(nat,one_one(nat),one_one(nat)))|~number_ring(X1))). 3.79/1.77 cnf(i_0_416, plain, (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)))|~linordered_semidom(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),one_one(X1)),X2)))). 3.79/1.77 cnf(i_0_531, plain, (ti(X1,X2)=ti(X1,X3)|hAPP(nat,X1,power_power(X1,X2),X4)!=hAPP(nat,X1,power_power(X1,X3),X4)|~linordered_semidom(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),X4))|~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)))). 3.79/1.77 cnf(i_0_762, plain, (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,X4),X3)))|~linordered_semidom(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_eq(X1),X2),X4)))). 3.79/1.77 cnf(i_0_1002, plain, (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)))|~linordered_semidom(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),one_one(X1)),X2)))). 3.79/1.77 cnf(i_0_1696, 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),hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat)))),hAPP(nat,X1,power_power(X1,X3),plus_plus(nat,one_one(nat),one_one(nat)))))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3)))). 3.79/1.77 cnf(i_0_267, plain, (ti(X1,X2)=ti(X1,X3)|hAPP(nat,X1,power_power(X1,X2),plus_plus(nat,one_one(nat),one_one(nat)))!=hAPP(nat,X1,power_power(X1,X3),plus_plus(nat,one_one(nat),one_one(nat)))|~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)))). 3.79/1.77 cnf(i_0_589, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(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)))). 3.79/1.77 cnf(i_0_1450, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(nat,X1,power_power(X1,X2),X3)),X4))|~comm_semiring_1(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),dvd_dvd(X1),hAPP(nat,X1,power_power(X1,X2),X5)),X4))|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X3),X5)))). 3.79/1.77 cnf(i_0_1106, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X3)),times_times(X1,X4,X5)))|~linord20386208strict(X1)|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),zero_zero(X1)),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4)))). 3.79/1.77 cnf(i_0_797, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X3)),times_times(X1,X4,X5)))|~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_eq(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4)))). 3.79/1.77 cnf(i_0_1229, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X3)),times_times(X1,X4,X5)))|~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),zero_zero(X1)),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4)))). 3.79/1.77 cnf(i_0_897, plain, (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)))|~linordered_semidom(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),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),X2),X4)))). 3.79/1.77 cnf(i_0_341, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk16_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),abs_abs(int,minus_minus(int,hAPP(nat,int,X2,plus_plus(nat,one_one(nat),esk15_3(X1,X2,X3))),hAPP(nat,int,X2,esk15_3(X1,X2,X3))))),one_one(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,zero_zero(nat))),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3))))). 3.79/1.77 cnf(i_0_1675, plain, (hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),esk43_3(X1,X2,X3)),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),abs_abs(int,minus_minus(int,hAPP(nat,int,X2,plus_plus(nat,one_one(nat),esk42_3(X1,X2,X3))),hAPP(nat,int,X2,esk42_3(X1,X2,X3))))),one_one(int)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(nat,int,X2,zero_zero(nat))),X1))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),hAPP(nat,int,X2,X3))))). 3.79/1.77 cnf(i_0_1222, plain, (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)))|~linordered_semidom(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),X4),X3))|~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)))). 3.79/1.77 cnf(i_0_1169, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),times_times(X1,X2,X3)),times_times(X1,X4,X5)))|~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),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X2),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X5)))). 3.79/1.77 cnf(i_0_543, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X2,X3)),times_times(X1,X4,X5)))|~ordered_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_eq(X1),zero_zero(X1)),X4))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4)))). 3.79/1.77 cnf(i_0_1525, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),times_times(X1,X2,X3)),times_times(X1,X4,X5)))|~ordered_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_eq(X1),zero_zero(X1)),X2))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X5))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),X4)))). 3.79/1.77 cnf(i_0_1503, plain, (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)))|~linordered_semidom(X1)|~hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),X4),X3))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X2),one_one(X1)))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),zero_zero(X1)),X2)))). 3.79/1.77 cnf(i_0_1314, plain, (plus_plus(int,pls,X1)=plus_plus(int,pls,X2)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X3))|~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),pls),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(int),X1),X3))|~hBOOL(hAPP(int,bool,zcong(X1,X2),X3)))). 3.79/1.77 cnf(i_0_1085, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|plus_plus(int,times_times(int,X3,X2),X4)!=plus_plus(int,times_times(int,X5,X1),X6)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),plus_plus(int,times_times(int,X3,X2),X4)))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X6))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X4),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),X5)))). 3.79/1.77 cnf(i_0_172, plain, (hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X1),X2))|plus_plus(int,times_times(int,X3,X1),X4)!=plus_plus(int,times_times(int,X5,X2),X6)|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),plus_plus(int,times_times(int,X3,X1),X4)),pls))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),pls),X3))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),X4))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),X6),X5))|~hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),X3),X5)))). 3.79/1.77 cnf(i_0_1205, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),plus_plus(X1,times_times(X1,X2,X3),times_times(X1,X4,X5))),X6))|one_one(X1)!=plus_plus(X1,X2,X4)|~linord626643107strict(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(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X5),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less(X1),X3),X6)))). 3.79/1.77 cnf(i_0_1518, plain, (hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),plus_plus(X1,times_times(X1,X2,X3),times_times(X1,X4,X5))),X6))|one_one(X1)!=plus_plus(X1,X2,X4)|~linord1278240602ring_1(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(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X5),X6))|~hBOOL(hAPP(X1,bool,hAPP(X1,fun(X1,bool),ord_less_eq(X1),X3),X6)))). 3.79/1.77 cnf(i_0_4549, plain, (X2738=X2738)). 3.79/1.77 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 3.79/1.77 # Begin printing tableau 3.79/1.77 # Found 5 steps 3.79/1.77 cnf(i_0_51, plain, (zero_zero(int)=pls), inference(start_rule)). 3.79/1.77 cnf(i_0_4633, plain, (zero_zero(int)=pls), inference(extension_rule, [i_0_4632])). 3.79/1.77 cnf(i_0_10736, plain, (undefined(zero_zero(int))=undefined(pls)), inference(extension_rule, [i_0_4552])). 3.79/1.77 cnf(i_0_13484, plain, (undefined(pls)!=minus_minus(nat,undefined(pls),zero_zero(nat))), inference(closure_rule, [i_0_1501])). 3.79/1.77 cnf(i_0_13482, plain, (undefined(zero_zero(int))=minus_minus(nat,undefined(pls),zero_zero(nat))), inference(etableau_closure_rule, [i_0_13482, ...])). 3.79/1.77 # End printing tableau 3.79/1.77 # SZS output end 3.79/1.77 # Branches closed with saturation will be marked with an "s" 4.03/1.79 # Child (9969) has found a proof. 4.03/1.79 4.28/1.85 # Proof search is over... 4.28/1.85 # Freeing feature tree 4.30/1.86 EOF