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Etableau---0.67.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM925+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 09:46:47 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : NUM925+2 : TPTP v8.1.0. Released v5.3.0.
% 0.08/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jul  6 19:20:53 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.48  # No SInE strategy applied
% 0.18/0.48  # Auto-Mode selected heuristic C07_19_nc_SAT001_MinMin_rr
% 0.18/0.48  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.18/0.48  #
% 0.18/0.48  # Presaturation interreduction done
% 0.18/0.48  # Number of axioms: 892 Number of unprocessed: 495
% 0.18/0.48  # Tableaux proof search.
% 0.18/0.48  # APR header successfully linked.
% 0.18/0.48  # Hello from C++
% 0.18/0.49  # The folding up rule is enabled...
% 0.18/0.49  # Local unification is enabled...
% 0.18/0.49  # Any saturation attempts will use folding labels...
% 0.18/0.49  # 495 beginning clauses after preprocessing and clausification
% 0.18/0.49  # Creating start rules for all 1 conjectures.
% 0.18/0.49  # There are 1 start rule candidates:
% 0.18/0.49  # Found 131 unit axioms.
% 0.18/0.49  # 1 start rule tableaux created.
% 0.18/0.49  # 364 extension rule candidate clauses
% 0.18/0.49  # 131 unit axiom clauses
% 0.18/0.49  
% 0.18/0.49  # Requested 8, 32 cores available to the main process.
% 0.18/0.49  # There are not enough tableaux to fork, creating more from the initial 1
% 0.18/0.49  # There were 1 total branch saturation attempts.
% 0.18/0.49  # There were 0 of these attempts blocked.
% 0.18/0.49  # There were 0 deferred branch saturation attempts.
% 0.18/0.49  # There were 0 free duplicated saturations.
% 0.18/0.49  # There were 1 total successful branch saturations.
% 0.18/0.49  # There were 1 successful branch saturations in interreduction.
% 0.18/0.49  # There were 0 successful branch saturations on the branch.
% 0.18/0.49  # There were 0 successful branch saturations after the branch.
% 0.18/0.49  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49  # Begin clausification derivation
% 0.18/0.49  
% 0.18/0.49  # End clausification derivation
% 0.18/0.49  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.18/0.49  cnf(i_0_53, plain, (zero_zero_int=pls)).
% 0.18/0.49  cnf(i_0_60, plain, (number_number_of_nat(pls)=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_1, plain, (is_bool(fFalse))).
% 0.18/0.49  cnf(i_0_2, plain, (is_bool(fTrue))).
% 0.18/0.49  cnf(i_0_424, plain, (hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=pls)).
% 0.18/0.49  cnf(i_0_169, plain, (number267125858f_real(pls)=zero_zero_real)).
% 0.18/0.49  cnf(i_0_370, plain, (hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int)).
% 0.18/0.49  cnf(i_0_348, plain, (hAPP_nat_int(power_power_int(one_one_int),X1)=one_one_int)).
% 0.18/0.49  cnf(i_0_80, plain, (number_number_of_nat(one_one_int)=one_one_nat)).
% 0.18/0.49  cnf(i_0_162, plain, (hAPP_int_int(plus_plus_int(pls),X1)=X1)).
% 0.18/0.49  cnf(i_0_364, plain, (hAPP_nat_real(semiri132038758t_real,one_one_nat)=one_one_real)).
% 0.18/0.49  cnf(i_0_161, plain, (hAPP_int_int(plus_plus_int(X1),pls)=X1)).
% 0.18/0.49  cnf(i_0_421, plain, (hAPP_nat_real(semiri132038758t_real,zero_zero_nat)=zero_zero_real)).
% 0.18/0.49  cnf(i_0_365, plain, (hAPP_nat_nat(semiri984289939at_nat,one_one_nat)=one_one_nat)).
% 0.18/0.49  cnf(i_0_420, plain, (hAPP_nat_int(power_power_int(X1),zero_zero_nat)=one_one_int)).
% 0.18/0.49  cnf(i_0_422, plain, (hAPP_nat_nat(semiri984289939at_nat,zero_zero_nat)=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_323, plain, (hAPP_nat_int(power_power_int(X1),one_one_nat)=X1)).
% 0.18/0.49  cnf(i_0_346, plain, (hAPP_nat_real(power_power_real(one_one_real),X1)=one_one_real)).
% 0.18/0.49  cnf(i_0_41, plain, (number267125858f_real(one_one_int)=one_one_real)).
% 0.18/0.49  cnf(i_0_347, plain, (hAPP_nat_nat(power_power_nat(one_one_nat),X1)=one_one_nat)).
% 0.18/0.49  cnf(i_0_3, plain, (is_bool(hAPP_int_bool(X1,X2)))).
% 0.18/0.49  cnf(i_0_4, plain, (is_bool(hAPP_nat_bool(X1,X2)))).
% 0.18/0.49  cnf(i_0_5, plain, (is_bool(hAPP_real_bool(X1,X2)))).
% 0.18/0.49  cnf(i_0_517, plain, (hAPP_real_real(plus_plus_real(zero_zero_real),X1)=X1)).
% 0.18/0.49  cnf(i_0_193, plain, (number_number_of_nat(hAPP_nat_int(semiri1621563631at_int,X1))=hAPP_nat_nat(semiri984289939at_nat,X1))).
% 0.18/0.49  cnf(i_0_320, plain, (hAPP_nat_nat(plus_plus_nat(zero_zero_nat),X1)=X1)).
% 0.18/0.49  cnf(i_0_418, plain, (hAPP_nat_real(power_power_real(X1),zero_zero_nat)=one_one_real)).
% 0.18/0.49  cnf(i_0_221, plain, (hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))=hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))).
% 0.18/0.49  cnf(i_0_419, plain, (hAPP_nat_nat(power_power_nat(X1),zero_zero_nat)=one_one_nat)).
% 0.18/0.49  cnf(i_0_321, plain, (hAPP_nat_real(power_power_real(X1),one_one_nat)=X1)).
% 0.18/0.49  cnf(i_0_195, plain, (number267125858f_real(hAPP_nat_int(semiri1621563631at_int,X1))=hAPP_nat_real(semiri132038758t_real,X1))).
% 0.18/0.49  cnf(i_0_504, plain, (hAPP_real_real(plus_plus_real(X1),zero_zero_real)=X1)).
% 0.18/0.49  cnf(i_0_31, plain, (number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),one_one_int))=hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))).
% 0.18/0.49  cnf(i_0_220, plain, (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))=hAPP_int_int(plus_plus_int(one_one_int),one_one_int))).
% 0.18/0.49  cnf(i_0_322, plain, (hAPP_nat_nat(power_power_nat(X1),one_one_nat)=X1)).
% 0.18/0.49  cnf(i_0_17, plain, (hAPP_nat_int(power_power_int(pls),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))=pls)).
% 0.18/0.49  cnf(i_0_996, negated_conjecture, (hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))=pls)).
% 0.18/0.49  cnf(i_0_319, plain, (hAPP_nat_nat(plus_plus_nat(X1),zero_zero_nat)=X1)).
% 0.18/0.49  cnf(i_0_994, plain, (hAPP_nat_nat(if_nat(fFalse,X1),X2)=X2)).
% 0.18/0.49  cnf(i_0_127, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),one_one_int)))).
% 0.18/0.49  cnf(i_0_993, plain, (hAPP_nat_nat(if_nat(fTrue,X1),X2)=X1)).
% 0.18/0.49  cnf(i_0_703, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),one_one_int)))).
% 0.18/0.49  cnf(i_0_7, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)))).
% 0.18/0.49  cnf(i_0_243, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))).
% 0.18/0.49  cnf(i_0_55, plain, (hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,X1)),X2)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(X1),X2)))).
% 0.18/0.49  cnf(i_0_615, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X1)))).
% 0.18/0.49  cnf(i_0_864, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X1)))).
% 0.18/0.49  cnf(i_0_570, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)))).
% 0.18/0.49  cnf(i_0_29, plain, (number267125858f_real(hAPP_int_int(plus_plus_int(one_one_int),one_one_int))=hAPP_real_real(plus_plus_real(one_one_real),one_one_real))).
% 0.18/0.49  cnf(i_0_928, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X1)))).
% 0.18/0.49  cnf(i_0_850, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),X1)))).
% 0.18/0.49  cnf(i_0_44, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),n)))).
% 0.18/0.49  cnf(i_0_6, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))))).
% 0.18/0.49  cnf(i_0_19, plain, (hAPP_nat_real(power_power_real(zero_zero_real),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))=zero_zero_real)).
% 0.18/0.49  cnf(i_0_18, plain, (hAPP_nat_nat(power_power_nat(zero_zero_nat),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_363, plain, (hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,X1)),hAPP_nat_int(semiri1621563631at_int,X2))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(X1),X2)))).
% 0.18/0.49  cnf(i_0_380, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)))).
% 0.18/0.49  cnf(i_0_249, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),tn)))).
% 0.18/0.49  cnf(i_0_379, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),one_one_real)))).
% 0.18/0.49  cnf(i_0_701, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),one_one_real)))).
% 0.18/0.49  cnf(i_0_721, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_nat_int(semiri1621563631at_int,X1))))).
% 0.18/0.49  cnf(i_0_183, plain, (hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(X1),X2)),X3)=hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),X3)))).
% 0.18/0.49  cnf(i_0_27, plain, (hAPP_real_real(plus_plus_real(number267125858f_real(X1)),one_one_real)=number267125858f_real(hAPP_int_int(plus_plus_int(X1),one_one_int)))).
% 0.18/0.49  cnf(i_0_25, plain, (hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(X1))=number267125858f_real(hAPP_int_int(plus_plus_int(one_one_int),X1)))).
% 0.18/0.49  cnf(i_0_217, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,m1),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))))).
% 0.18/0.49  cnf(i_0_819, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))).
% 0.18/0.49  cnf(i_0_811, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))))).
% 0.18/0.49  cnf(i_0_188, plain, (hAPP_real_real(plus_plus_real(number267125858f_real(X1)),number267125858f_real(X2))=number267125858f_real(hAPP_int_int(plus_plus_int(X1),X2)))).
% 0.18/0.49  cnf(i_0_387, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X1),one_one_int))))).
% 0.18/0.49  cnf(i_0_425, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))))).
% 0.18/0.49  cnf(i_0_719, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,X1))))).
% 0.18/0.49  cnf(i_0_56, plain, (hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,X1)),hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,X2)),X3))=hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(X1),X2))),X3))).
% 0.18/0.49  cnf(i_0_822, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))))).
% 0.18/0.49  cnf(i_0_877, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X1),X2))))).
% 0.18/0.49  cnf(i_0_245, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(one_one_real),one_one_real))))).
% 0.18/0.49  cnf(i_0_386, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X1),one_one_nat))))).
% 0.18/0.49  cnf(i_0_33, plain, (hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))=hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))))))).
% 0.18/0.49  cnf(i_0_367, plain, (hAPP_nat_real(power_power_real(hAPP_nat_real(semiri132038758t_real,X1)),X2)=hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(power_power_nat(X1),X2)))).
% 0.18/0.49  cnf(i_0_385, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),hAPP_real_real(plus_plus_real(X1),one_one_real))))).
% 0.18/0.49  cnf(i_0_875, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X1))))).
% 0.18/0.49  cnf(i_0_368, plain, (hAPP_nat_nat(power_power_nat(hAPP_nat_nat(semiri984289939at_nat,X1)),X2)=hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(power_power_nat(X1),X2)))).
% 0.18/0.49  cnf(i_0_361, plain, (hAPP_real_real(plus_plus_real(hAPP_nat_real(semiri132038758t_real,X1)),hAPP_nat_real(semiri132038758t_real,X2))=hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(plus_plus_nat(X1),X2)))).
% 0.18/0.49  cnf(i_0_362, plain, (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(semiri984289939at_nat,X1)),hAPP_nat_nat(semiri984289939at_nat,X2))=hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)))).
% 0.18/0.49  cnf(i_0_820, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))))).
% 0.18/0.49  cnf(i_0_218, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X1)),hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),X1))))).
% 0.18/0.49  cnf(i_0_747, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(plus_plus_int(X1),hAPP_nat_int(semiri1621563631at_int,X2)))))).
% 0.18/0.49  cnf(i_0_483, plain, (hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(X1),X2)),X3)=hAPP_real_real(plus_plus_real(X1),hAPP_real_real(plus_plus_real(X2),X3)))).
% 0.18/0.49  cnf(i_0_484, plain, (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(X1),X2)),X3)=hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))).
% 0.18/0.49  cnf(i_0_821, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))))).
% 0.18/0.49  cnf(i_0_982, plain, (hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(times_times_int(X2,X1)),times_times_int(X2,X1)))=times_times_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X2),X2)),X1))).
% 0.18/0.49  cnf(i_0_184, plain, (hAPP_real_real(plus_plus_real(number267125858f_real(X1)),hAPP_real_real(plus_plus_real(number267125858f_real(X2)),X3))=hAPP_real_real(plus_plus_real(number267125858f_real(hAPP_int_int(plus_plus_int(X1),X2))),X3))).
% 0.18/0.49  cnf(i_0_837, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_int(power_power_int(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))))))).
% 0.18/0.49  cnf(i_0_897, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),hAPP_nat_real(power_power_real(hAPP_real_real(plus_plus_real(one_one_real),one_one_real)),X1))))).
% 0.18/0.49  cnf(i_0_219, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,X1)),hAPP_nat_real(power_power_real(hAPP_real_real(plus_plus_real(one_one_real),one_one_real)),X1))))).
% 0.18/0.49  cnf(i_0_981, plain, (hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),times_times_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int),X1),X2)))=hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(X1),X2)),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))).
% 0.18/0.49  cnf(i_0_836, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_real(power_power_real(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))))))).
% 0.18/0.49  cnf(i_0_980, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),sqrt(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_real(power_power_real(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))))))).
% 0.18/0.49  cnf(i_0_101, plain, (hAPP_int_int(plus_plus_int(X1),X2)=hAPP_int_int(plus_plus_int(X2),X1))).
% 0.18/0.49  cnf(i_0_798, plain, (hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),one_one_int)))=hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))))).
% 0.18/0.49  cnf(i_0_489, plain, (hAPP_real_real(plus_plus_real(X1),X2)=hAPP_real_real(plus_plus_real(X2),X1))).
% 0.18/0.49  cnf(i_0_259, plain, (hAPP_nat_nat(plus_plus_nat(X1),X2)=hAPP_nat_nat(plus_plus_nat(X2),X1))).
% 0.18/0.49  cnf(i_0_100, plain, (hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),X3))=hAPP_int_int(plus_plus_int(X2),hAPP_int_int(plus_plus_int(X1),X3)))).
% 0.18/0.49  cnf(i_0_190, plain, (hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),one_one_int))))=hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X2),X2)))))).
% 0.18/0.49  cnf(i_0_189, plain, (hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),one_one_int))))=hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),X2)))))).
% 0.18/0.49  cnf(i_0_486, plain, (hAPP_real_real(plus_plus_real(X1),hAPP_real_real(plus_plus_real(X2),X3))=hAPP_real_real(plus_plus_real(X2),hAPP_real_real(plus_plus_real(X1),X3)))).
% 0.18/0.49  cnf(i_0_260, plain, (hAPP_nat_nat(plus_plus_nat(X1),hAPP_nat_nat(plus_plus_nat(X2),X3))=hAPP_nat_nat(plus_plus_nat(X2),hAPP_nat_nat(plus_plus_nat(X1),X3)))).
% 0.18/0.49  cnf(i_0_815, plain, (hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X2),X2)))))=hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(X2),one_one_int))))))).
% 0.18/0.49  cnf(i_0_156, plain, (one_one_int!=pls)).
% 0.18/0.49  cnf(i_0_251, plain, (one_one_real!=zero_zero_real)).
% 0.18/0.49  cnf(i_0_339, plain, (one_one_nat!=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_252, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X1)))).
% 0.18/0.49  cnf(i_0_250, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),zero_zero_nat)))).
% 0.18/0.49  cnf(i_0_378, plain, (~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),pls)))).
% 0.18/0.49  cnf(i_0_124, plain, (~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)))).
% 0.18/0.49  cnf(i_0_700, plain, (~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),pls)))).
% 0.18/0.49  cnf(i_0_699, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),zero_zero_nat)))).
% 0.18/0.49  cnf(i_0_376, plain, (~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_698, plain, (~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_630, plain, (~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X1)))).
% 0.18/0.49  cnf(i_0_873, plain, (~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X1)))).
% 0.18/0.49  cnf(i_0_147, plain, (hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))!=pls)).
% 0.18/0.49  cnf(i_0_148, plain, (hAPP_int_int(plus_plus_int(X1),X1)!=hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X2),X2)))).
% 0.18/0.49  cnf(i_0_131, plain, (~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X1)),pls)))).
% 0.18/0.49  cnf(i_0_415, plain, (~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,X1)),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_254, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X2)))).
% 0.18/0.49  cnf(i_0_253, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),X1)))).
% 0.18/0.49  cnf(i_0_192, plain, (hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(one_one_int),X1))!=pls)).
% 0.18/0.49  cnf(i_0_200, plain, (~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),pls)))).
% 0.18/0.49  cnf(i_0_201, plain, (~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_208, plain, (~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_int(power_power_int(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))),pls)))).
% 0.18/0.49  cnf(i_0_209, plain, (~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_real(power_power_real(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_995, plain, (X1=fTrue|X1=fFalse|~is_bool(X1))).
% 0.18/0.49  cnf(i_0_84, plain, (X1=X2|number267125858f_real(X1)!=number267125858f_real(X2))).
% 0.18/0.49  cnf(i_0_62, plain, (X1=zero_zero_nat|hAPP_nat_int(semiri1621563631at_int,X1)!=pls)).
% 0.18/0.49  cnf(i_0_516, plain, (X1=pls|hAPP_int_int(plus_plus_int(X1),X1)!=pls)).
% 0.18/0.49  cnf(i_0_345, plain, (X1=pls|hAPP_nat_int(power_power_int(X1),X2)!=pls)).
% 0.18/0.49  cnf(i_0_35, plain, (hAPP_nat_int(power_power_int(pls),number_number_of_nat(X1))=one_one_int|number_number_of_nat(X1)!=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_234, plain, (hAPP_nat_int(power_power_int(pls),X1)=pls|X1=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_175, plain, (hAPP_nat_int(power_power_int(X1),number_number_of_nat(X2))!=pls|number_number_of_nat(X2)!=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_503, plain, (X1=pls|hAPP_int_int(plus_plus_int(X2),X1)!=X2)).
% 0.18/0.49  cnf(i_0_499, plain, (X1=zero_zero_real|hAPP_real_real(plus_plus_real(X2),X1)!=X2)).
% 0.18/0.49  cnf(i_0_501, plain, (X1=zero_zero_nat|hAPP_nat_nat(plus_plus_nat(X2),X1)!=X2)).
% 0.18/0.49  cnf(i_0_181, plain, (hAPP_nat_real(power_power_real(X1),number_number_of_nat(X2))!=zero_zero_real|number_number_of_nat(X2)!=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_103, plain, (X1=X2|hAPP_nat_int(semiri1621563631at_int,X1)!=hAPP_nat_int(semiri1621563631at_int,X2))).
% 0.18/0.49  cnf(i_0_178, plain, (hAPP_nat_nat(power_power_nat(X1),number_number_of_nat(X2))!=zero_zero_nat|number_number_of_nat(X2)!=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_514, plain, (X1=zero_zero_real|hAPP_real_real(plus_plus_real(X1),X1)!=zero_zero_real)).
% 0.18/0.49  cnf(i_0_344, plain, (X1=zero_zero_real|hAPP_nat_real(power_power_real(X1),X2)!=zero_zero_real)).
% 0.18/0.49  cnf(i_0_411, plain, (X1=zero_zero_nat|hAPP_nat_nat(power_power_nat(X1),X2)!=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_317, plain, (X1=zero_zero_nat|hAPP_nat_nat(plus_plus_nat(X2),X1)!=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_318, plain, (X1=zero_zero_nat|hAPP_nat_nat(plus_plus_nat(X1),X2)!=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_984, plain, (sqrt(X1)!=zero_zero_real|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_455, plain, (X1=X2|hAPP_int_int(plus_plus_int(X3),X1)!=hAPP_int_int(plus_plus_int(X3),X2))).
% 0.18/0.49  cnf(i_0_238, plain, (hAPP_nat_real(power_power_real(zero_zero_real),X1)=zero_zero_real|X1=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_325, plain, (X1=X2|hAPP_nat_real(semiri132038758t_real,X1)!=hAPP_nat_real(semiri132038758t_real,X2))).
% 0.18/0.49  cnf(i_0_452, plain, (X1=X2|hAPP_int_int(plus_plus_int(X1),X3)!=hAPP_int_int(plus_plus_int(X2),X3))).
% 0.18/0.49  cnf(i_0_94, plain, (X1=X2|hAPP_int_int(plus_plus_int(X1),X1)!=hAPP_int_int(plus_plus_int(X2),X2))).
% 0.18/0.49  cnf(i_0_327, plain, (X1=X2|hAPP_nat_nat(semiri984289939at_nat,X1)!=hAPP_nat_nat(semiri984289939at_nat,X2))).
% 0.18/0.49  cnf(i_0_853, plain, (X1=zero_zero_nat|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat)))).
% 0.18/0.49  cnf(i_0_709, plain, (~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X1)))).
% 0.18/0.49  cnf(i_0_776, plain, (number_number_of_nat(X1)=zero_zero_nat|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_832, plain, (hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(X1))=X1|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_92, plain, (X1=X2|hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))!=hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X2),X2)))).
% 0.18/0.49  cnf(i_0_236, plain, (hAPP_nat_nat(power_power_nat(zero_zero_nat),X1)=zero_zero_nat|X1=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_453, plain, (X1=X2|hAPP_real_real(plus_plus_real(X3),X1)!=hAPP_real_real(plus_plus_real(X3),X2))).
% 0.18/0.49  cnf(i_0_9, plain, (X1=pls|hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))!=pls)).
% 0.18/0.49  cnf(i_0_10, plain, (X1=pls|hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_int(power_power_int(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))!=pls)).
% 0.18/0.49  cnf(i_0_263, plain, (X1=X2|hAPP_nat_nat(plus_plus_nat(X3),X1)!=hAPP_nat_nat(plus_plus_nat(X3),X2))).
% 0.18/0.49  cnf(i_0_450, plain, (X1=X2|hAPP_real_real(plus_plus_real(X1),X3)!=hAPP_real_real(plus_plus_real(X2),X3))).
% 0.18/0.49  cnf(i_0_265, plain, (X1=X2|hAPP_nat_nat(plus_plus_nat(X1),X3)!=hAPP_nat_nat(plus_plus_nat(X2),X3))).
% 0.18/0.49  cnf(i_0_432, plain, (X1=one_one_nat|X2=zero_zero_nat|hAPP_nat_nat(power_power_nat(X1),X2)!=one_one_nat)).
% 0.18/0.49  cnf(i_0_795, plain, (X1=zero_zero_nat|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,X1)),pls)))).
% 0.18/0.49  cnf(i_0_831, plain, (hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(X1))=pls|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_39, plain, (hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(X1))=one_one_real|number_number_of_nat(X1)!=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_37, plain, (hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(X1))=one_one_nat|number_number_of_nat(X1)!=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_426, plain, (hAPP_nat_int(semiri1621563631at_int,esk2_1(X1))=X1|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_848, plain, (hAPP_nat_int(semiri1621563631at_int,esk11_1(X1))=X1|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_849, plain, (hAPP_nat_int(semiri1621563631at_int,esk12_1(X1))=X1|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_925, plain, (hAPP_nat_int(semiri1621563631at_int,esk15_1(X1))=X1|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_707, plain, (~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X1)),number_number_of_nat(X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X2)),number_number_of_nat(X1))))).
% 0.18/0.49  cnf(i_0_705, plain, (~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),number267125858f_real(X2)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X2)),number267125858f_real(X1))))).
% 0.18/0.49  cnf(i_0_631, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_777, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))|number_number_of_nat(X1)!=zero_zero_nat)).
% 0.18/0.49  cnf(i_0_618, plain, (X1=X2|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X1))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_868, plain, (X1=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.18/0.49  cnf(i_0_286, plain, (X1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)))).
% 0.18/0.49  cnf(i_0_931, plain, (X1=X2|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),X1))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2)))).
% 0.18/0.49  cnf(i_0_393, plain, (X1=X2|hAPP_nat_int(power_power_int(X3),X1)!=hAPP_nat_int(power_power_int(X3),X2)|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3)))).
% 0.18/0.49  cnf(i_0_793, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X1)))).
% 0.18/0.49  cnf(i_0_829, plain, (hAPP_nat_real(semiri132038758t_real,number_number_of_nat(X1))=zero_zero_real|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_830, plain, (hAPP_nat_real(semiri132038758t_real,number_number_of_nat(X1))=number267125858f_real(X1)|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_333, plain, (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(if_nat(X1,X2),X3))=hAPP_nat_int(semiri1621563631at_int,X2)|~hBOOL(X1))).
% 0.18/0.49  cnf(i_0_739, plain, (hBOOL(hAPP_int_bool(X1,esk7_1(X1)))|~hBOOL(hAPP_int_bool(X1,hAPP_nat_int(semiri1621563631at_int,X2))))).
% 0.18/0.49  cnf(i_0_574, plain, (hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(X1))=one_one_nat|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_572, plain, (hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),one_one_nat)=one_one_nat|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_681, plain, (X1=pls|hAPP_int_int(plus_plus_int(X2),X1)!=pls|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_332, plain, (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(if_nat(X1,X2),X3))=hAPP_nat_int(semiri1621563631at_int,X3)|hBOOL(X1))).
% 0.18/0.49  cnf(i_0_855, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.18/0.49  cnf(i_0_682, plain, (X1=pls|hAPP_int_int(plus_plus_int(X1),X2)!=pls|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_77, plain, (hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),number_number_of_nat(X2))=number_number_of_nat(X2)|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_750, plain, (hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(X1))=number_number_of_nat(hAPP_int_int(plus_plus_int(X1),one_one_int))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_870, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2)))).
% 0.18/0.49  cnf(i_0_335, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(X1))))).
% 0.18/0.49  cnf(i_0_111, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(X1))))).
% 0.18/0.49  cnf(i_0_753, plain, (hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),one_one_nat)=number_number_of_nat(hAPP_int_int(plus_plus_int(X1),one_one_int))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_636, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(X1))))).
% 0.18/0.49  cnf(i_0_988, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),sqrt(X1))))).
% 0.18/0.49  cnf(i_0_992, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X1))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),sqrt(X1))))).
% 0.18/0.49  cnf(i_0_107, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_842, plain, (X1=pls|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))),pls)))).
% 0.18/0.49  cnf(i_0_843, plain, (X1=pls|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_int(power_power_int(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))),pls)))).
% 0.18/0.49  cnf(i_0_748, plain, (hAPP_int_int(plus_plus_int(X1),hAPP_nat_int(semiri1621563631at_int,esk10_2(X1,X2)))=X2|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_640, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_986, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(X1)),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_990, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),one_one_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(X1)),one_one_real)))).
% 0.18/0.49  cnf(i_0_311, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X1)),number_number_of_nat(X2))))).
% 0.18/0.49  cnf(i_0_52, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),number267125858f_real(X2))))).
% 0.18/0.49  cnf(i_0_620, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),number267125858f_real(X2))))).
% 0.18/0.49  cnf(i_0_856, plain, (X1=X2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.18/0.49  cnf(i_0_871, plain, (X1=X2|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2)))).
% 0.18/0.49  cnf(i_0_743, plain, (hBOOL(hAPP_int_bool(X1,hAPP_nat_int(semiri1621563631at_int,X2)))|~hBOOL(hAPP_int_bool(X1,esk8_1(X1))))).
% 0.18/0.49  cnf(i_0_792, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X1))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_196, plain, (X1=pls|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))))).
% 0.18/0.49  cnf(i_0_573, plain, (hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(X1))=number_number_of_nat(hAPP_int_int(plus_plus_int(X1),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_277, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)))).
% 0.18/0.49  cnf(i_0_885, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X3),X1)),X2)))).
% 0.18/0.49  cnf(i_0_886, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),X2)))).
% 0.18/0.49  cnf(i_0_571, plain, (hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),one_one_nat)=number_number_of_nat(hAPP_int_int(plus_plus_int(X1),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_226, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_nat_int(semiri1621563631at_int,X1))))).
% 0.18/0.49  cnf(i_0_439, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(X1),X1))))).
% 0.18/0.49  cnf(i_0_878, plain, (hAPP_nat_nat(plus_plus_nat(X1),esk13_2(X1,X2))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.18/0.49  cnf(i_0_428, plain, (hAPP_nat_nat(plus_plus_nat(X1),esk3_2(X1,X2))=X2|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.18/0.49  cnf(i_0_228, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,X1))))).
% 0.18/0.49  cnf(i_0_666, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(plus_plus_int(X1),X1))))).
% 0.18/0.49  cnf(i_0_96, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),pls)))).
% 0.18/0.49  cnf(i_0_708, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1)))).
% 0.18/0.49  cnf(i_0_230, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,X1))))).
% 0.18/0.49  cnf(i_0_389, plain, (X1=X2|hAPP_nat_real(power_power_real(X3),X1)!=hAPP_nat_real(power_power_real(X3),X2)|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X3)))).
% 0.18/0.49  cnf(i_0_391, plain, (X1=X2|hAPP_nat_nat(power_power_nat(X3),X1)!=hAPP_nat_nat(power_power_nat(X3),X2)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X3)))).
% 0.18/0.49  cnf(i_0_800, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X2),one_one_int))))).
% 0.18/0.49  cnf(i_0_334, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(X1)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_670, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),pls)))).
% 0.18/0.49  cnf(i_0_802, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),one_one_int)),X2)))).
% 0.18/0.49  cnf(i_0_437, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(X1),X1))))).
% 0.18/0.49  cnf(i_0_664, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(plus_plus_real(X1),X1))))).
% 0.18/0.49  cnf(i_0_98, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X1),X1)),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_812, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),X1)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_781, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1)))))).
% 0.18/0.49  cnf(i_0_668, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(X1),X1)),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_936, plain, (hBOOL(hAPP_nat_bool(X1,zero_zero_nat))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),esk19_2(X3,X1)))|~hBOOL(hAPP_nat_bool(X1,X3))|~hBOOL(hAPP_nat_bool(X1,X2)))).
% 0.18/0.49  cnf(i_0_923, plain, (hBOOL(hAPP_nat_bool(X1,zero_zero_nat))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),esk14_2(X3,X1)))|~hBOOL(hAPP_nat_bool(X1,X3))|~hBOOL(hAPP_nat_bool(X1,X2)))).
% 0.18/0.49  cnf(i_0_305, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_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)).
% 0.18/0.49  cnf(i_0_726, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1)))))).
% 0.18/0.49  cnf(i_0_141, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(one_one_int),X1))),pls)))).
% 0.18/0.49  cnf(i_0_123, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))),pls)))).
% 0.18/0.49  cnf(i_0_616, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X1)))).
% 0.18/0.49  cnf(i_0_225, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_nat_int(semiri1621563631at_int,X1)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)))).
% 0.18/0.49  cnf(i_0_303, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X1)),hAPP_nat_int(semiri1621563631at_int,X2))))).
% 0.18/0.49  cnf(i_0_783, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))),pls)))).
% 0.18/0.49  cnf(i_0_844, plain, (X1=one_one_int|X1=pls|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(one_one_int),one_one_int)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_352, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,X1)),hAPP_nat_nat(semiri984289939at_nat,X2))))).
% 0.18/0.49  cnf(i_0_350, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,X1)),hAPP_nat_real(semiri132038758t_real,X2))))).
% 0.18/0.49  cnf(i_0_628, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,X1)),hAPP_nat_int(semiri1621563631at_int,X2))))).
% 0.18/0.49  cnf(i_0_865, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X1)))).
% 0.18/0.49  cnf(i_0_626, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(semiri984289939at_nat,X1)),hAPP_nat_nat(semiri984289939at_nat,X2))))).
% 0.18/0.49  cnf(i_0_624, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(semiri132038758t_real,X1)),hAPP_nat_real(semiri132038758t_real,X2))))).
% 0.18/0.49  cnf(i_0_629, plain, (X1=X2|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_134, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),one_one_real))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),one_one_int)))).
% 0.18/0.49  cnf(i_0_659, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),one_one_real))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),one_one_int)))).
% 0.18/0.49  cnf(i_0_935, plain, (hBOOL(hAPP_nat_bool(X1,esk19_2(X2,X1)))|hBOOL(hAPP_nat_bool(X1,zero_zero_nat))|~hBOOL(hAPP_nat_bool(X1,X2)))).
% 0.18/0.49  cnf(i_0_427, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk2_1(X1)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_110, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(X1)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_983, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),sqrt(X1)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_138, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(X1)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1)))).
% 0.18/0.49  cnf(i_0_655, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),number267125858f_real(X1)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X1)))).
% 0.18/0.49  cnf(i_0_12, plain, (X1=zero_zero_real|hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))!=zero_zero_real)).
% 0.18/0.49  cnf(i_0_929, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),X1)))).
% 0.18/0.49  cnf(i_0_991, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),sqrt(X1)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X1)))).
% 0.18/0.49  cnf(i_0_635, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),number267125858f_real(X1)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_106, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),zero_zero_real))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_13, plain, (X1=zero_zero_real|hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_real(power_power_real(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))!=zero_zero_real)).
% 0.18/0.49  cnf(i_0_894, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_384, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_nat_int(power_power_int(X1),X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_639, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),zero_zero_real))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_985, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(X1)),zero_zero_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_989, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(X1)),one_one_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),one_one_real)))).
% 0.18/0.49  cnf(i_0_528, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X3),X1)),hAPP_int_int(plus_plus_int(X3),X2))))).
% 0.18/0.49  cnf(i_0_895, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_438, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(X1),X1)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_712, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_nat_int(power_power_int(X1),X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_45, plain, (X1=X2|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X1)))).
% 0.18/0.49  cnf(i_0_665, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(plus_plus_int(X1),X1)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_531, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X3)),hAPP_int_int(plus_plus_int(X2),X3))))).
% 0.18/0.49  cnf(i_0_71, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(X2),X2))))).
% 0.18/0.49  cnf(i_0_718, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),hAPP_nat_int(power_power_int(X1),X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X1)))).
% 0.18/0.49  cnf(i_0_95, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_586, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X3),X1)),hAPP_int_int(plus_plus_int(X3),X2))))).
% 0.18/0.49  cnf(i_0_580, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X3)),hAPP_int_int(plus_plus_int(X2),X3))))).
% 0.18/0.49  cnf(i_0_669, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_135, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),one_one_int))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),one_one_real)))).
% 0.18/0.49  cnf(i_0_660, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),one_one_int))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),one_one_real)))).
% 0.18/0.49  cnf(i_0_258, plain, (X1=X2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X1)))).
% 0.18/0.49  cnf(i_0_129, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X2),one_one_int)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_611, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(X2),X2))))).
% 0.18/0.49  cnf(i_0_267, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X3),X1)),hAPP_nat_nat(plus_plus_nat(X3),X2))))).
% 0.18/0.49  cnf(i_0_799, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X2),one_one_int)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_139, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(X1))))).
% 0.18/0.49  cnf(i_0_656, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X1))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),number267125858f_real(X1))))).
% 0.18/0.49  cnf(i_0_780, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_845, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_801, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),one_one_int)),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_530, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(X2),X3))))).
% 0.18/0.49  cnf(i_0_584, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X3),X1)),hAPP_nat_nat(plus_plus_nat(X3),X2))))).
% 0.18/0.49  cnf(i_0_140, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),hAPP_int_int(plus_plus_int(one_one_int),X1))),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_122, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_313, plain, (X1=X2|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X1)))).
% 0.18/0.49  cnf(i_0_578, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X3)),hAPP_nat_nat(plus_plus_nat(X2),X3))))).
% 0.18/0.49  cnf(i_0_706, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X2)),number_number_of_nat(X1))))).
% 0.18/0.49  cnf(i_0_782, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_740, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),esk7_1(X1)))|~hBOOL(hAPP_int_bool(X1,hAPP_nat_int(semiri1621563631at_int,X2))))).
% 0.18/0.49  cnf(i_0_302, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X1)),hAPP_nat_int(semiri1621563631at_int,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.18/0.49  cnf(i_0_744, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),esk8_1(X1)))|hBOOL(hAPP_int_bool(X1,hAPP_nat_int(semiri1621563631at_int,X2))))).
% 0.18/0.49  cnf(i_0_227, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,X1)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)))).
% 0.18/0.49  cnf(i_0_526, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X3),X1)),hAPP_real_real(plus_plus_real(X3),X2))))).
% 0.18/0.49  cnf(i_0_529, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X1),X3)),hAPP_real_real(plus_plus_real(X2),X3))))).
% 0.18/0.49  cnf(i_0_229, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,X1)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)))).
% 0.18/0.49  cnf(i_0_627, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,X1)),hAPP_nat_int(semiri1621563631at_int,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.18/0.49  cnf(i_0_51, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X1)),number267125858f_real(X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_582, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(X3),X1)),hAPP_real_real(plus_plus_real(X3),X2))))).
% 0.18/0.49  cnf(i_0_576, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(X1),X3)),hAPP_real_real(plus_plus_real(X2),X3))))).
% 0.18/0.49  cnf(i_0_619, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),number267125858f_real(X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_828, plain, (X1=X2|hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))!=hAPP_nat_int(power_power_int(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_429, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),esk3_2(X1,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.18/0.49  cnf(i_0_130, plain, (X1=X2|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X2),one_one_int))))).
% 0.18/0.49  cnf(i_0_312, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X2)),number_number_of_nat(X1))))).
% 0.18/0.49  cnf(i_0_675, plain, (X1=zero_zero_real|hAPP_real_real(plus_plus_real(X2),X1)!=zero_zero_real|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_676, plain, (X1=zero_zero_real|hAPP_real_real(plus_plus_real(X1),X2)!=zero_zero_real|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_785, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X2),X2)))))).
% 0.18/0.49  cnf(i_0_728, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X2),X2)))))).
% 0.18/0.49  cnf(i_0_704, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,number267125858f_real(X1)),number267125858f_real(X2)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(X2)),number267125858f_real(X1))))).
% 0.18/0.49  cnf(i_0_291, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X1),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1)))).
% 0.18/0.49  cnf(i_0_742, plain, (hBOOL(hAPP_int_bool(X1,X2))|~hBOOL(hAPP_int_bool(X1,hAPP_nat_int(semiri1621563631at_int,esk9_1(X1))))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2)))).
% 0.18/0.49  cnf(i_0_292, plain, (X1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(X2),X1))))).
% 0.18/0.49  cnf(i_0_115, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))),hAPP_int_int(plus_plus_int(X2),X2))))).
% 0.18/0.49  cnf(i_0_789, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))),hAPP_int_int(plus_plus_int(X2),X2))))).
% 0.18/0.49  cnf(i_0_75, plain, (hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),number_number_of_nat(X2))=number_number_of_nat(hAPP_int_int(plus_plus_int(X1),X2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_932, plain, (hBOOL(hAPP_int_bool(X1,X2))|~hBOOL(hAPP_int_bool(X1,hAPP_int_int(plus_plus_int(one_one_int),esk18_3(X1,X3,X2))))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),X2))|~hBOOL(hAPP_int_bool(X1,X3)))).
% 0.18/0.49  cnf(i_0_566, plain, (hAPP_nat_real(power_power_real(esk4_2(X1,X2)),X2)=X1|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_568, plain, (hAPP_nat_real(power_power_real(esk5_2(X1,X2)),X2)=X1|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_809, plain, (hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),number_number_of_nat(X2))=number_number_of_nat(hAPP_int_int(plus_plus_int(X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1)))).
% 0.18/0.49  cnf(i_0_66, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X2),X2)))))).
% 0.18/0.49  cnf(i_0_76, plain, (hAPP_nat_nat(plus_plus_nat(number_number_of_nat(X1)),number_number_of_nat(X2))=number_number_of_nat(X1)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),pls)))).
% 0.18/0.49  cnf(i_0_273, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))).
% 0.18/0.49  cnf(i_0_272, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.18/0.49  cnf(i_0_882, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)))).
% 0.18/0.49  cnf(i_0_881, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.18/0.49  cnf(i_0_717, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),hAPP_nat_nat(power_power_nat(X1),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),X1)))).
% 0.18/0.49  cnf(i_0_606, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X2),X2)))))).
% 0.18/0.49  cnf(i_0_382, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),X2)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_436, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(X1),X1)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_710, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),X2)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_663, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(plus_plus_real(X1),X1)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_716, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),hAPP_nat_real(power_power_real(X1),X2)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),X1)))).
% 0.18/0.49  cnf(i_0_202, plain, (X1=pls|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))))))).
% 0.18/0.49  cnf(i_0_203, plain, (X1=pls|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_int(power_power_int(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))))))).
% 0.18/0.49  cnf(i_0_198, plain, (X1=zero_zero_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))))).
% 0.18/0.49  cnf(i_0_97, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X1),X1)),zero_zero_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_667, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(X1),X1)),zero_zero_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_246, plain, (hBOOL(hAPP_int_bool(X1,X2))|~hBOOL(hAPP_int_bool(X1,hAPP_int_int(plus_plus_int(one_one_int),esk1_3(X1,X3,X2))))|~hBOOL(hAPP_int_bool(X1,hAPP_int_int(plus_plus_int(X3),one_one_int)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X3),X2)))).
% 0.18/0.49  cnf(i_0_537, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X2)),hAPP_int_int(plus_plus_int(X1),X3)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)))).
% 0.18/0.49  cnf(i_0_74, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X2)),hAPP_int_int(plus_plus_int(X3),X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X3)))).
% 0.18/0.49  cnf(i_0_924, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk14_2(X1,X2)),X1))|hBOOL(hAPP_nat_bool(X2,zero_zero_nat))|~hBOOL(hAPP_nat_bool(X2,X1)))).
% 0.18/0.49  cnf(i_0_807, plain, (X1=X2|hAPP_nat_int(power_power_int(X1),X3)!=hAPP_nat_int(power_power_int(X2),X3)|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)))).
% 0.18/0.49  cnf(i_0_937, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,esk19_2(X1,X2)),X1))|hBOOL(hAPP_nat_bool(X2,zero_zero_nat))|~hBOOL(hAPP_nat_bool(X2,X1)))).
% 0.18/0.49  cnf(i_0_948, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X3))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),X2)))).
% 0.18/0.49  cnf(i_0_351, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,X1)),hAPP_nat_nat(semiri984289939at_nat,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.18/0.49  cnf(i_0_70, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(X2),X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_741, plain, (hBOOL(hAPP_int_bool(X1,hAPP_nat_int(semiri1621563631at_int,esk6_1(X1))))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2))|~hBOOL(hAPP_int_bool(X1,X2)))).
% 0.18/0.49  cnf(i_0_947, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))).
% 0.18/0.49  cnf(i_0_625, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(semiri984289939at_nat,X1)),hAPP_nat_nat(semiri984289939at_nat,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.18/0.49  cnf(i_0_585, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X2)),hAPP_int_int(plus_plus_int(X1),X3)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X3)))).
% 0.18/0.49  cnf(i_0_579, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X2)),hAPP_int_int(plus_plus_int(X3),X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X3)))).
% 0.18/0.49  cnf(i_0_276, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|hAPP_nat_nat(plus_plus_nat(X3),X2)!=hAPP_nat_nat(plus_plus_nat(X1),X4)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X4)))).
% 0.18/0.49  cnf(i_0_349, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,X1)),hAPP_nat_real(semiri132038758t_real,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2)))).
% 0.18/0.49  cnf(i_0_946, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X3))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X3),X2)))).
% 0.18/0.49  cnf(i_0_978, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,esk22_2(X1,X2)),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_610, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(X2),X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_623, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(semiri132038758t_real,X1)),hAPP_nat_real(semiri132038758t_real,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.18/0.49  cnf(i_0_977, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,esk22_2(X1,X2)),X1))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_933, plain, (hBOOL(hAPP_int_bool(X1,esk18_3(X1,X2,X3)))|hBOOL(hAPP_int_bool(X1,X3))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X3))|~hBOOL(hAPP_int_bool(X1,X2)))).
% 0.18/0.49  cnf(i_0_775, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X1),X3)),hAPP_nat_int(power_power_int(X2),X3)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2)))).
% 0.18/0.49  cnf(i_0_399, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X3),X1)),hAPP_nat_int(power_power_int(X3),X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3)))).
% 0.18/0.49  cnf(i_0_922, plain, (hBOOL(hAPP_nat_bool(X1,hAPP_nat_nat(plus_plus_nat(one_one_nat),esk14_2(X2,X1))))|hBOOL(hAPP_nat_bool(X1,zero_zero_nat))|~hBOOL(hAPP_nat_bool(X1,X2)))).
% 0.18/0.49  cnf(i_0_896, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,number_number_of_nat(X1)),number_number_of_nat(X2))))).
% 0.18/0.49  cnf(i_0_397, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X3),X1)),hAPP_nat_nat(power_power_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X3)))).
% 0.18/0.49  cnf(i_0_288, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X3),X1)),hAPP_nat_nat(power_power_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)))).
% 0.18/0.49  cnf(i_0_309, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(X1)),number_number_of_nat(X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_561, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X2)),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_772, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X2)),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_769, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X2)),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),pls)))).
% 0.18/0.49  cnf(i_0_691, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X2)),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),pls))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),pls)))).
% 0.18/0.49  cnf(i_0_784, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X2),X2))))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_395, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X3),X1)),hAPP_nat_real(power_power_real(X3),X2)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X3)))).
% 0.18/0.49  cnf(i_0_774, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X1),X3)),hAPP_nat_nat(power_power_nat(X2),X3))))).
% 0.18/0.49  cnf(i_0_651, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X3),X1)),hAPP_nat_int(power_power_int(X3),X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X3)))).
% 0.18/0.49  cnf(i_0_727, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X1)),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X2),X2))))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_114, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))),hAPP_int_int(plus_plus_int(X2),X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_567, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),esk4_2(X1,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_788, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))),hAPP_int_int(plus_plus_int(X2),X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_649, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X3),X1)),hAPP_nat_nat(power_power_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X3)))).
% 0.18/0.49  cnf(i_0_647, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X3),X1)),hAPP_nat_real(power_power_real(X3),X2)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X3)))).
% 0.18/0.49  cnf(i_0_231, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_nat_int(power_power_int(X1),X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)))).
% 0.18/0.49  cnf(i_0_65, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X2),X2))))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_605, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X1),X1))),hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(X2),X2))))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_569, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),esk5_2(X1,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_266, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)))).
% 0.18/0.49  cnf(i_0_773, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X1),X3)),hAPP_nat_real(power_power_real(X2),X3)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2)))).
% 0.18/0.49  cnf(i_0_979, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),esk22_2(X1,X2)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_375, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X2),X3)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X3)))).
% 0.18/0.49  cnf(i_0_839, plain, (X1=zero_zero_real|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_840, plain, (X1=zero_zero_real|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_real(power_power_real(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_766, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X2),X3)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X3)))).
% 0.18/0.49  cnf(i_0_763, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),hAPP_int_int(plus_plus_int(X2),X3)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X3)))).
% 0.18/0.49  cnf(i_0_688, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(plus_plus_int(X2),X3)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X3))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2)))).
% 0.18/0.49  cnf(i_0_685, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),hAPP_int_int(plus_plus_int(X2),X3)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X3)))).
% 0.18/0.49  cnf(i_0_274, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))).
% 0.18/0.49  cnf(i_0_826, plain, (X1=X2|hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))!=hAPP_nat_real(power_power_real(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_827, plain, (X1=X2|hAPP_nat_nat(power_power_nat(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))!=hAPP_nat_nat(power_power_nat(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))).
% 0.18/0.49  cnf(i_0_232, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(power_power_nat(X1),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2)))).
% 0.18/0.49  cnf(i_0_762, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),hAPP_nat_nat(plus_plus_nat(X2),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)))).
% 0.18/0.49  cnf(i_0_825, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_int(power_power_int(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X2)))).
% 0.18/0.49  cnf(i_0_583, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X1),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.18/0.49  cnf(i_0_373, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),hAPP_real_real(plus_plus_real(X2),X3)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X3)))).
% 0.18/0.49  cnf(i_0_764, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),hAPP_real_real(plus_plus_real(X2),X3)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X3)))).
% 0.18/0.49  cnf(i_0_761, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),hAPP_real_real(plus_plus_real(X2),X3)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X3)))).
% 0.18/0.49  cnf(i_0_398, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X1),X3)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)))).
% 0.18/0.49  cnf(i_0_650, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X1),X3)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.18/0.49  cnf(i_0_604, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X1),X3)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.18/0.49  cnf(i_0_686, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),hAPP_real_real(plus_plus_real(X2),X3)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X3))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2)))).
% 0.18/0.49  cnf(i_0_683, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),hAPP_real_real(plus_plus_real(X2),X3)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X3)))).
% 0.18/0.49  cnf(i_0_295, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(X1),X2))))).
% 0.18/0.49  cnf(i_0_577, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)))).
% 0.18/0.49  cnf(i_0_715, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X3),X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X3)))).
% 0.18/0.49  cnf(i_0_534, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X2)),hAPP_int_int(plus_plus_int(X3),X4)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X4))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X3)))).
% 0.18/0.49  cnf(i_0_697, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X2)),hAPP_int_int(plus_plus_int(X3),X4)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X4))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X3)))).
% 0.18/0.49  cnf(i_0_694, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(X1),X2)),hAPP_int_int(plus_plus_int(X3),X4)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X3))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X4)))).
% 0.18/0.49  cnf(i_0_233, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(power_power_real(X1),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X1)))).
% 0.18/0.49  cnf(i_0_595, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(X1),X2)),hAPP_int_int(plus_plus_int(X3),X4)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X2),X4))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X3)))).
% 0.18/0.49  cnf(i_0_535, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X1),X2)),hAPP_real_real(plus_plus_real(X1),X3)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X3)))).
% 0.18/0.49  cnf(i_0_690, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),zero_zero_nat))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),zero_zero_nat))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),zero_zero_nat)))).
% 0.18/0.49  cnf(i_0_559, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X1),X2)),zero_zero_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),zero_zero_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_770, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X1),X2)),zero_zero_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),zero_zero_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_767, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X1),X2)),zero_zero_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),zero_zero_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_689, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(X1),X2)),zero_zero_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),zero_zero_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),zero_zero_real)))).
% 0.18/0.49  cnf(i_0_538, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X1),X2)),hAPP_real_real(plus_plus_real(X3),X2)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X3)))).
% 0.18/0.49  cnf(i_0_565, plain, (esk4_2(hAPP_nat_real(power_power_real(X1),X2),X2)=X1|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_805, plain, (X1=X2|hAPP_nat_real(power_power_real(X1),X3)!=hAPP_nat_real(power_power_real(X2),X3)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1)))).
% 0.18/0.49  cnf(i_0_581, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(X1),X2)),hAPP_real_real(plus_plus_real(X1),X3)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),X3)))).
% 0.18/0.49  cnf(i_0_575, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(X1),X2)),hAPP_real_real(plus_plus_real(X3),X2)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X3)))).
% 0.18/0.49  cnf(i_0_824, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_nat(power_power_nat(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)))))).
% 0.18/0.49  cnf(i_0_806, plain, (X1=X2|hAPP_nat_nat(power_power_nat(X1),X3)!=hAPP_nat_nat(power_power_nat(X2),X3)|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X3)))).
% 0.18/0.49  cnf(i_0_934, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),esk18_3(X2,X1,X3)))|hBOOL(hAPP_int_bool(X2,X3))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),X3))|~hBOOL(hAPP_int_bool(X2,X1)))).
% 0.18/0.49  cnf(i_0_247, plain, (hBOOL(hAPP_int_bool(X1,esk1_3(X1,X2,X3)))|hBOOL(hAPP_int_bool(X1,X3))|~hBOOL(hAPP_int_bool(X1,hAPP_int_int(plus_plus_int(X2),one_one_int)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X2),X3)))).
% 0.18/0.49  cnf(i_0_275, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X4)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))).
% 0.18/0.49  cnf(i_0_696, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X4)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X4))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)))).
% 0.18/0.49  cnf(i_0_396, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X1),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)))).
% 0.18/0.49  cnf(i_0_823, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_real(power_power_real(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X2)))).
% 0.18/0.49  cnf(i_0_240, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X1),X3)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),one_one_int))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)))).
% 0.18/0.49  cnf(i_0_645, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X1),X3)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X1),one_one_int))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))).
% 0.18/0.49  cnf(i_0_648, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X1),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.18/0.49  cnf(i_0_693, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X4)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4)))).
% 0.18/0.49  cnf(i_0_594, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(X1),X2)),hAPP_nat_nat(plus_plus_nat(X3),X4)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X4))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)))).
% 0.18/0.49  cnf(i_0_532, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X1),X2)),hAPP_real_real(plus_plus_real(X3),X4)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X4))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X3)))).
% 0.18/0.49  cnf(i_0_603, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X1),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.18/0.49  cnf(i_0_818, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X1),X2)),hAPP_nat_int(power_power_int(X3),X2)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X3)))).
% 0.18/0.49  cnf(i_0_205, plain, (X1=zero_zero_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))))))).
% 0.18/0.49  cnf(i_0_206, plain, (X1=zero_zero_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X1),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))),hAPP_nat_real(power_power_real(X2),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))))))).
% 0.18/0.49  cnf(i_0_714, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X3)))).
% 0.18/0.49  cnf(i_0_394, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X1),X3)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X2),X3)))).
% 0.18/0.49  cnf(i_0_695, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X1),X2)),hAPP_real_real(plus_plus_real(X3),X4)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X2),X4))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X3)))).
% 0.18/0.49  cnf(i_0_692, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(X1),X2)),hAPP_real_real(plus_plus_real(X3),X4)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X3))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),X4)))).
% 0.18/0.49  cnf(i_0_593, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(X1),X2)),hAPP_real_real(plus_plus_real(X3),X4)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X2),X4))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X3)))).
% 0.18/0.49  cnf(i_0_938, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X1,X2)),hAPP_nat_nat(X1,X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,esk20_3(X2,X3,X1))),hAPP_nat_nat(X1,esk21_3(X2,X3,X1))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.18/0.49  cnf(i_0_646, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X1),X3)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.18/0.49  cnf(i_0_602, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X1),X3)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X2),X3)))).
% 0.18/0.49  cnf(i_0_713, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X3),X2)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),X3)))).
% 0.18/0.49  cnf(i_0_248, plain, (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),esk1_3(X2,X1,X3)))|hBOOL(hAPP_int_bool(X2,X3))|~hBOOL(hAPP_int_bool(X2,hAPP_int_int(plus_plus_int(X1),one_one_int)))|~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X1),X3)))).
% 0.18/0.49  cnf(i_0_927, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(plus_plus_nat(X2),X3))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk16_3(X2,X3,X1)),esk17_3(X2,X3,X1))))).
% 0.18/0.49  cnf(i_0_926, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(X1,X2)),X3)),hAPP_nat_nat(X1,hAPP_nat_nat(plus_plus_nat(X2),X3))))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(X1,esk16_3(X2,X3,X1))),hAPP_nat_nat(X1,esk17_3(X2,X3,X1)))))).
% 0.18/0.49  cnf(i_0_817, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),X3)))).
% 0.18/0.49  cnf(i_0_816, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X3),X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X2))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),X3)))).
% 0.18/0.49  cnf(i_0_241, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X1),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X1),one_one_nat))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)))).
% 0.18/0.49  cnf(i_0_939, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,esk20_3(X1,X2,X3)),esk21_3(X1,X2,X3)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(X3,X1)),hAPP_nat_nat(X3,X2)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),X2)))).
% 0.18/0.49  cnf(i_0_644, plain, (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(power_power_nat(X1),X2)),hAPP_nat_nat(power_power_nat(X1),X3)))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X1),one_one_nat))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))).
% 0.18/0.49  cnf(i_0_242, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X1),X3)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X1),one_one_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X3),X2)))).
% 0.18/0.49  cnf(i_0_643, plain, (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(power_power_real(X1),X2)),hAPP_nat_real(power_power_real(X1),X3)))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,X1),one_one_real))|~hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),X1))|~hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,X3),X2)))).
% 0.18/0.49  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.18/0.49  # Begin printing tableau
% 0.18/0.49  # Found 6 steps
% 0.18/0.49  cnf(i_0_996, negated_conjecture, (hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))=pls), inference(start_rule)).
% 0.18/0.49  cnf(i_0_1071, plain, (hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))=pls), inference(extension_rule, [i_0_345])).
% 0.18/0.49  cnf(i_0_1081, plain, (hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))=pls), inference(extension_rule, [i_0_681])).
% 0.18/0.49  cnf(i_0_2086, plain, (~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),one_one_int))), inference(closure_rule, [i_0_703])).
% 0.18/0.49  cnf(i_0_2087, plain, (~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_nat_int(semiri1621563631at_int,n)))), inference(closure_rule, [i_0_721])).
% 0.18/0.49  cnf(i_0_2084, plain, (hAPP_nat_int(semiri1621563631at_int,n)=pls), inference(etableau_closure_rule, [i_0_2084, ...])).
% 0.18/0.49  # End printing tableau
% 0.18/0.49  # SZS output end
% 0.18/0.49  # Branches closed with saturation will be marked with an "s"
% 0.18/0.49  # Returning from population with 1 new_tableaux and 0 remaining starting tableaux.
% 0.18/0.49  # We now have 1 tableaux to operate on
% 0.18/0.49  # Found closed tableau during pool population.
% 0.18/0.49  # Proof search is over...
% 0.18/0.49  # Freeing feature tree
%------------------------------------------------------------------------------