TSTP Solution File: NUM924+4 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM924+4 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 12:31:34 EDT 2022
% Result : Theorem 14.86s 15.03s
% Output : CNFRefutation 14.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 96
% Syntax : Number of formulae : 364 ( 209 unt; 0 def)
% Number of atoms : 590 ( 571 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 456 ( 230 ~; 226 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 20 con; 0-2 aty)
% Number of variables : 183 ( 3 sgn 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))) ).
fof(fact_3_t,axiom,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) ).
fof(fact_61_zmult__assoc,axiom,
! [Z1,Z2,Z3] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),Z2)),Z3) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z2),Z3)) ).
fof(fact_124_nat__1__add__1,axiom,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) = hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) ).
fof(fact_125_mult__Pls,axiom,
! [W] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),W) = pls ).
fof(fact_199_zadd__commute,axiom,
! [Z_1,W] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),W) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1) ).
fof(fact_200_zero__is__num__zero,axiom,
zero_zero_int = hAPP_int_int(number_number_of_int,pls) ).
fof(fact_255_Bit0__Pls,axiom,
hAPP_int_int(bit0,pls) = pls ).
fof(fact_256_Pls__def,axiom,
pls = zero_zero_int ).
fof(fact_266_Bit0__def,axiom,
! [K_2] : hAPP_int_int(bit0,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),K_2) ).
fof(fact_302_power2__eq__square,axiom,
! [A_234] : hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234) ).
fof(fact_318_semiring__norm_I112_J,axiom,
zero_zero_int = hAPP_int_int(number_number_of_int,pls) ).
fof(fact_356_Bit1__def,axiom,
! [K_2] : hAPP_int_int(bit1,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)),K_2) ).
fof(fact_375_number__of__Bit1,axiom,
! [W_6] : hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_6)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6)) ).
fof(fact_379_semiring__numeral__1__eq__1,axiom,
hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)) = one_one_int ).
fof(fact_384_numeral__1__eq__1,axiom,
hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)) = one_one_int ).
fof(fact_400_semiring__one__add__one__is__two,axiom,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) = hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) ).
fof(fact_485_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
! [Lx_3,Ly_1,Rx_3] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Ly_1)),Rx_3) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1) ).
fof(fact_506_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
! [Lx,Rx,Ry] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),Ry)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),Ry)) ).
fof(fact_590_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [A_221] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int) = zero_zero_int ).
fof(fact_698_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
! [M_27,A_212] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_27),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_212),M_27)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_212),one_one_int)),M_27) ).
fof(fact_1836__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096,axiom,
hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) ).
fof(fact_3071_Suc__eq__plus1__left,axiom,
! [N] : hAPP_nat_nat(suc,N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N) ).
fof(fact_3294_succ__def,axiom,
! [K_2] : hAPP_int_int(succ,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int) ).
fof(conj_0,conjecture,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)) ).
fof(subgoal_0,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
inference(strip,[],[conj_0]) ).
fof(negate_0_0,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
pls = zero_zero_int,
inference(canonicalize,[],[fact_256_Pls__def]) ).
fof(normalize_0_2,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t),
inference(canonicalize,[],[fact_3_t]) ).
fof(normalize_0_3,plain,
! [N] : hAPP_nat_nat(suc,N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N),
inference(canonicalize,[],[fact_3071_Suc__eq__plus1__left]) ).
fof(normalize_0_4,plain,
! [N] : hAPP_nat_nat(suc,N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) = hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),
inference(canonicalize,[],[fact_400_semiring__one__add__one__is__two]) ).
fof(normalize_0_6,plain,
! [K_2] : hAPP_int_int(succ,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int),
inference(canonicalize,[],[fact_3294_succ__def]) ).
fof(normalize_0_7,plain,
! [K_2] : hAPP_int_int(succ,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t),
inference(canonicalize,[],[fact_1836__096sum2sq_A_Is_M_A1_J_A_061_A_I4_A_K_Am_A_L_A1_J_A_K_At_096]) ).
fof(normalize_0_9,plain,
hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)) = one_one_int,
inference(canonicalize,[],[fact_384_numeral__1__eq__1]) ).
fof(normalize_0_10,plain,
zero_zero_int = hAPP_int_int(number_number_of_int,pls),
inference(canonicalize,[],[fact_318_semiring__norm_I112_J]) ).
fof(normalize_0_11,plain,
! [W_6] : hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_6)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6)),
inference(canonicalize,[],[fact_375_number__of__Bit1]) ).
fof(normalize_0_12,plain,
! [W_6] : hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_6)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6)),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [K_2] : hAPP_int_int(bit1,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)),K_2),
inference(canonicalize,[],[fact_356_Bit1__def]) ).
fof(normalize_0_14,plain,
! [K_2] : hAPP_int_int(bit1,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)),K_2),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [W,Z_1] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),W) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1),
inference(canonicalize,[],[fact_199_zadd__commute]) ).
fof(normalize_0_16,plain,
! [W,Z_1] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),W) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [Lx_3,Ly_1,Rx_3] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Ly_1)),Rx_3) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1),
inference(canonicalize,[],[fact_485_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J]) ).
fof(normalize_0_18,plain,
! [Lx_3,Ly_1,Rx_3] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Ly_1)),Rx_3) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [Z1,Z2,Z3] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),Z2)),Z3) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z2),Z3)),
inference(canonicalize,[],[fact_61_zmult__assoc]) ).
fof(normalize_0_20,plain,
! [Z1,Z2,Z3] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),Z2)),Z3) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z2),Z3)),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [Lx,Rx,Ry] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),Ry)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),Ry)),
inference(canonicalize,[],[fact_506_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J]) ).
fof(normalize_0_22,plain,
! [Lx,Rx,Ry] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),Ry)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),Ry)),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A_212,M_27] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_27),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_212),M_27)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_212),one_one_int)),M_27),
inference(canonicalize,[],[fact_698_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J]) ).
fof(normalize_0_24,plain,
! [A_212,M_27] : hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_27),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_212),M_27)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_212),one_one_int)),M_27),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [A_234] : hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234),
inference(canonicalize,[],[fact_302_power2__eq__square]) ).
fof(normalize_0_26,plain,
! [A_234] : hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))),
inference(canonicalize,[],[fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096]) ).
fof(normalize_0_28,plain,
hAPP_int_int(bit0,pls) = pls,
inference(canonicalize,[],[fact_255_Bit0__Pls]) ).
fof(normalize_0_29,plain,
! [K_2] : hAPP_int_int(bit0,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),K_2),
inference(canonicalize,[],[fact_266_Bit0__def]) ).
fof(normalize_0_30,plain,
! [K_2] : hAPP_int_int(bit0,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),K_2),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [A_221] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int) = zero_zero_int,
inference(canonicalize,[],[fact_590_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
fof(normalize_0_32,plain,
! [A_221] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int) = zero_zero_int,
inference(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [W] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),W) = pls,
inference(canonicalize,[],[fact_125_mult__Pls]) ).
fof(normalize_0_34,plain,
! [W] : hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),W) = pls,
inference(specialize,[],[normalize_0_33]) ).
cnf(refute_0_0,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
pls = zero_zero_int,
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( pls != zero_zero_int
| zero_zero_int = pls ),
inference(subst,[],[refute_0_4:[bind(X,$fot(pls)),bind(Y,$fot(zero_zero_int))]]) ).
cnf(refute_0_6,plain,
zero_zero_int = pls,
inference(resolve,[$cnf( $equal(pls,zero_zero_int) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int),
introduced(tautology,[refl,[$fot(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int))]]) ).
cnf(refute_0_8,plain,
( hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int) != hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int)
| zero_zero_int != pls
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int)) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_9,plain,
( zero_zero_int != pls
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls),
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_12,plain,
hAPP_nat_nat(suc,N) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_13,plain,
( hAPP_nat_nat(suc,N) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N)
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N) = hAPP_nat_nat(suc,N) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(hAPP_nat_nat(suc,N))),bind(Y,$fot(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N)))]]) ).
cnf(refute_0_14,plain,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N) = hAPP_nat_nat(suc,N),
inference(resolve,[$cnf( $equal(hAPP_nat_nat(suc,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) = hAPP_nat_nat(suc,one_one_nat),
inference(subst,[],[refute_0_14:[bind(N,$fot(one_one_nat))]]) ).
cnf(refute_0_16,plain,
hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) = hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_17,plain,
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) != hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))
| hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))),bind(Y,$fot(hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))]]) ).
cnf(refute_0_18,plain,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat),
inference(resolve,[$cnf( $equal(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_19]) ).
cnf(refute_0_21,plain,
( hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) != hAPP_nat_nat(suc,one_one_nat)
| hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_nat(suc,one_one_nat) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),bind(Y,$fot(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))),bind(Z,$fot(hAPP_nat_nat(suc,one_one_nat)))]]) ).
cnf(refute_0_22,plain,
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) != hAPP_nat_nat(suc,one_one_nat)
| hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_nat(suc,one_one_nat) ),
inference(resolve,[$cnf( $equal(hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_nat_nat(suc,one_one_nat),
inference(resolve,[$cnf( $equal(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat),hAPP_nat_nat(suc,one_one_nat)) )],[refute_0_15,refute_0_22]) ).
cnf(refute_0_24,plain,
hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
introduced(tautology,[refl,[$fot(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))]]) ).
cnf(refute_0_25,plain,
( hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) != hAPP_nat_nat(suc,one_one_nat)
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) ),[1,1],$fot(hAPP_nat_nat(suc,one_one_nat))]]) ).
cnf(refute_0_26,plain,
( hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) != hAPP_nat_nat(suc,one_one_nat)
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)) ),
inference(resolve,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)),
inference(resolve,[$cnf( $equal(hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),hAPP_nat_nat(suc,one_one_nat)) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),
introduced(tautology,[refl,[$fot(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))]]) ).
cnf(refute_0_29,plain,
( hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) ),[1,1],$fot(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)))]]) ).
cnf(refute_0_30,plain,
( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),
inference(resolve,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
hAPP_int_int(succ,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_33,plain,
( hAPP_int_int(succ,K_2) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int)
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int) = hAPP_int_int(succ,K_2) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(hAPP_int_int(succ,K_2))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int)))]]) ).
cnf(refute_0_34,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int) = hAPP_int_int(succ,K_2),
inference(resolve,[$cnf( $equal(hAPP_int_int(succ,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),
inference(subst,[],[refute_0_34:[bind(K_2,$fot(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))]]) ).
cnf(refute_0_36,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) != hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int))),bind(Y,$fot(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),bind(Z,$fot(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)))))]]) ).
cnf(refute_0_37,plain,
( hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int),hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),
inference(resolve,[$cnf( $equal(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)))) )],[refute_0_31,refute_0_37]) ).
cnf(refute_0_39,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) != hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)))
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)) ),[0],$fot(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))))]]) ).
cnf(refute_0_40,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int),hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_42,plain,
hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)) = one_one_int,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_43,plain,
zero_zero_int = hAPP_int_int(number_number_of_int,pls),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_44,plain,
( zero_zero_int != hAPP_int_int(number_number_of_int,pls)
| hAPP_int_int(number_number_of_int,pls) = zero_zero_int ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero_zero_int)),bind(Y,$fot(hAPP_int_int(number_number_of_int,pls)))]]) ).
cnf(refute_0_45,plain,
hAPP_int_int(number_number_of_int,pls) = zero_zero_int,
inference(resolve,[$cnf( $equal(zero_zero_int,hAPP_int_int(number_number_of_int,pls)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( hAPP_int_int(number_number_of_int,pls) != zero_zero_int
| zero_zero_int != pls
| hAPP_int_int(number_number_of_int,pls) = pls ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(number_number_of_int,pls))),bind(Y,$fot(zero_zero_int)),bind(Z,$fot(pls))]]) ).
cnf(refute_0_47,plain,
( zero_zero_int != pls
| hAPP_int_int(number_number_of_int,pls) = pls ),
inference(resolve,[$cnf( $equal(hAPP_int_int(number_number_of_int,pls),zero_zero_int) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
hAPP_int_int(number_number_of_int,pls) = pls,
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_6,refute_0_47]) ).
cnf(refute_0_49,plain,
hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls)) = hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls)),
introduced(tautology,[refl,[$fot(hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls)))]]) ).
cnf(refute_0_50,plain,
( hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls)) != hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls))
| hAPP_int_int(number_number_of_int,pls) != pls
| hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls)) = hAPP_int_int(bit1,pls) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls)),hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls))) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_51,plain,
( hAPP_int_int(number_number_of_int,pls) != pls
| hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls)) = hAPP_int_int(bit1,pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls)),hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls)) = hAPP_int_int(bit1,pls),
inference(resolve,[$cnf( $equal(hAPP_int_int(number_number_of_int,pls),pls) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_6)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6)),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_54,plain,
hAPP_int_int(bit1,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)),K_2),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_55,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),W) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_56,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),W) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1)
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),W) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),W))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1)))]]) ).
cnf(refute_0_57,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),W),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),W),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)),K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)),
inference(subst,[],[refute_0_57:[bind(W,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2))),bind(Z_1,$fot(K_2))]]) ).
cnf(refute_0_59,plain,
( hAPP_int_int(bit1,K_2) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)),K_2)
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)),K_2) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2))
| hAPP_int_int(bit1,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(hAPP_int_int(bit1,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2))) ),[0],$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)),K_2))]]) ).
cnf(refute_0_60,plain,
( hAPP_int_int(bit1,K_2) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)),K_2)
| hAPP_int_int(bit1,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)),K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
hAPP_int_int(bit1,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)),
inference(resolve,[$cnf( $equal(hAPP_int_int(bit1,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)),K_2)) )],[refute_0_54,refute_0_60]) ).
cnf(refute_0_62,plain,
( hAPP_int_int(bit1,K_2) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)) = hAPP_int_int(bit1,K_2) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(hAPP_int_int(bit1,K_2))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2))))]]) ).
cnf(refute_0_63,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)) = hAPP_int_int(bit1,K_2),
inference(resolve,[$cnf( $equal(hAPP_int_int(bit1,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))) = hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,W_6)),
inference(subst,[],[refute_0_63:[bind(K_2,$fot(hAPP_int_int(number_number_of_int,W_6)))]]) ).
cnf(refute_0_65,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),
inference(subst,[],[refute_0_57:[bind(W,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6)))),bind(Z_1,$fot(hAPP_int_int(number_number_of_int,W_6)))]]) ).
cnf(refute_0_66,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6)) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6)))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))) != hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,W_6))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6)) = hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,W_6)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6)))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))))),bind(Z,$fot(hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,W_6))))]]) ).
cnf(refute_0_67,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))) != hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,W_6))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6)) = hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,W_6)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6)))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6)) = hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,W_6)),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,W_6))) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6)) != hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,W_6))
| hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_6)) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6))
| hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_6)) = hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,W_6)) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6))) ),[1],$fot(hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,W_6)))]]) ).
cnf(refute_0_70,plain,
( hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_6)) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6))
| hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_6)) = hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,W_6)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6)),hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,W_6))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_6)) = hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,W_6)),
inference(resolve,[$cnf( $equal(hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_6)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6))) )],[refute_0_53,refute_0_70]) ).
cnf(refute_0_72,plain,
hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)) = hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls)),
inference(subst,[],[refute_0_71:[bind(W_6,$fot(pls))]]) ).
cnf(refute_0_73,plain,
( hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls)) != hAPP_int_int(bit1,pls)
| hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)) != hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls))
| hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)) = hAPP_int_int(bit1,pls) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)))),bind(Y,$fot(hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls)))),bind(Z,$fot(hAPP_int_int(bit1,pls)))]]) ).
cnf(refute_0_74,plain,
( hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls)) != hAPP_int_int(bit1,pls)
| hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)) = hAPP_int_int(bit1,pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)),hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)) = hAPP_int_int(bit1,pls),
inference(resolve,[$cnf( $equal(hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,pls)),hAPP_int_int(bit1,pls)) )],[refute_0_52,refute_0_74]) ).
cnf(refute_0_76,plain,
( hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)) != hAPP_int_int(bit1,pls)
| hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)) != one_one_int
| hAPP_int_int(bit1,pls) = one_one_int ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)),one_one_int) ),[0],$fot(hAPP_int_int(bit1,pls))]]) ).
cnf(refute_0_77,plain,
( hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)) != one_one_int
| hAPP_int_int(bit1,pls) = one_one_int ),
inference(resolve,[$cnf( $equal(hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)),hAPP_int_int(bit1,pls)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
hAPP_int_int(bit1,pls) = one_one_int,
inference(resolve,[$cnf( $equal(hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)),one_one_int) )],[refute_0_42,refute_0_77]) ).
cnf(refute_0_79,plain,
hAPP_int_int(bit0,hAPP_int_int(bit1,pls)) = hAPP_int_int(bit0,hAPP_int_int(bit1,pls)),
introduced(tautology,[refl,[$fot(hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))]]) ).
cnf(refute_0_80,plain,
( hAPP_int_int(bit0,hAPP_int_int(bit1,pls)) != hAPP_int_int(bit0,hAPP_int_int(bit1,pls))
| hAPP_int_int(bit1,pls) != one_one_int
| hAPP_int_int(bit0,hAPP_int_int(bit1,pls)) = hAPP_int_int(bit0,one_one_int) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(bit0,hAPP_int_int(bit1,pls)),hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) ),[1,1],$fot(one_one_int)]]) ).
cnf(refute_0_81,plain,
( hAPP_int_int(bit1,pls) != one_one_int
| hAPP_int_int(bit0,hAPP_int_int(bit1,pls)) = hAPP_int_int(bit0,one_one_int) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(bit0,hAPP_int_int(bit1,pls)),hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
hAPP_int_int(bit0,hAPP_int_int(bit1,pls)) = hAPP_int_int(bit0,one_one_int),
inference(resolve,[$cnf( $equal(hAPP_int_int(bit1,pls),one_one_int) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),
introduced(tautology,[refl,[$fot(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))]]) ).
cnf(refute_0_84,plain,
( hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) != hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))
| hAPP_int_int(bit0,hAPP_int_int(bit1,pls)) != hAPP_int_int(bit0,one_one_int)
| hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) ),[1,1],$fot(hAPP_int_int(bit0,one_one_int))]]) ).
cnf(refute_0_85,plain,
( hAPP_int_int(bit0,hAPP_int_int(bit1,pls)) != hAPP_int_int(bit0,one_one_int)
| hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) = hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)),
inference(resolve,[$cnf( $equal(hAPP_int_int(bit0,hAPP_int_int(bit1,pls)),hAPP_int_int(bit0,one_one_int)) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
introduced(tautology,[refl,[$fot(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))]]) ).
cnf(refute_0_88,plain,
( hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) != hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))
| hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))
| hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) ),[1,1],$fot(hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))]]) ).
cnf(refute_0_89,plain,
( hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) != hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))
| hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))),
inference(resolve,[$cnf( $equal(hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))) )],[refute_0_86,refute_0_89]) ).
cnf(refute_0_91,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),
introduced(tautology,[refl,[$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))]]) ).
cnf(refute_0_92,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))
| hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) ),[1,1],$fot(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))]]) ).
cnf(refute_0_93,plain,
( hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))),
inference(resolve,[$cnf( $equal(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))) )],[refute_0_90,refute_0_93]) ).
cnf(refute_0_95,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),
introduced(tautology,[refl,[$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))]]) ).
cnf(refute_0_96,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))) ),[1,1],$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))]]) ).
cnf(refute_0_97,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))) )],[refute_0_94,refute_0_97]) ).
cnf(refute_0_99,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Ly_1)),Rx_3) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_100,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),Z2)),Z3) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z2),Z3)),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_101,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Ly_1)),Rx_3) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)),
inference(subst,[],[refute_0_100:[bind(Z1,$fot(Lx_3)),bind(Z2,$fot(Ly_1)),bind(Z3,$fot(Rx_3))]]) ).
cnf(refute_0_102,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Ly_1)),Rx_3) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Ly_1)),Rx_3) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1)
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Ly_1)),Rx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1)) ),[0],$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)))]]) ).
cnf(refute_0_103,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Ly_1)),Rx_3) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1)
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Ly_1)),Rx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_3),Ly_1)),
inference(subst,[],[refute_0_100:[bind(Z1,$fot(Lx_3)),bind(Z2,$fot(Rx_3)),bind(Z3,$fot(Ly_1))]]) ).
cnf(refute_0_105,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1)
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_3),Ly_1))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_3),Ly_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_3),Ly_1))) ),[0],$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1))]]) ).
cnf(refute_0_106,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1)
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_3),Ly_1)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_3),Ly_1))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Ly_1)),Rx_3) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1)
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_3),Ly_1)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1)) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_3),Ly_1)),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Ly_1)),Rx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1)) )],[refute_0_99,refute_0_107]) ).
cnf(refute_0_109,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_3),Ly_1))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_3),Ly_1)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_3),Ly_1))))]]) ).
cnf(refute_0_110,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_3),Ly_1)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_1),Rx_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_3),Ly_1))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),t)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),
inference(subst,[],[refute_0_110:[bind(Lx_3,$fot(m)),bind(Ly_1,$fot(t)),bind(Rx_3,$fot(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))]]) ).
cnf(refute_0_112,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),Ry)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),Ry)),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_113,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),Ry)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),Ry))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),Ry)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),Ry)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),Ry)))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),Ry))))]]) ).
cnf(refute_0_114,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),Ry)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),Ry)),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),Ry)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),Ry))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),t)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),t)),
inference(subst,[],[refute_0_114:[bind(Lx,$fot(m)),bind(Rx,$fot(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),bind(Ry,$fot(t))]]) ).
cnf(refute_0_116,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),t)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),t))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),t)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),t)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),t)))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),t)))),bind(Z,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))]]) ).
cnf(refute_0_117,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),t)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),t)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),t))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),t)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))) )],[refute_0_111,refute_0_117]) ).
cnf(refute_0_119,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),t)),
inference(subst,[],[refute_0_100:[bind(Z1,$fot(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),bind(Z2,$fot(m)),bind(Z3,$fot(t))]]) ).
cnf(refute_0_120,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),t))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),t)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),t)))),bind(Z,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))]]) ).
cnf(refute_0_121,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),t)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),t))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))) )],[refute_0_118,refute_0_121]) ).
cnf(refute_0_123,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),bind(Z,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))))]]) ).
cnf(refute_0_124,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))) )],[refute_0_98,refute_0_124]) ).
cnf(refute_0_126,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)),
introduced(tautology,[refl,[$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)))]]) ).
cnf(refute_0_127,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t))) ),[1,1],$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))))]]) ).
cnf(refute_0_128,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t))) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))) )],[refute_0_125,refute_0_128]) ).
cnf(refute_0_130,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_27),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_212),M_27)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_212),one_one_int)),M_27),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_131,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_27),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_212),M_27)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_212),one_one_int)),M_27)
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_212),one_one_int)),M_27) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_27),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_212),M_27)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_27),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_212),M_27)))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_212),one_one_int)),M_27)))]]) ).
cnf(refute_0_132,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_212),one_one_int)),M_27) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_27),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_212),M_27)),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_27),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_212),M_27)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_212),one_one_int)),M_27)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)),
inference(subst,[],[refute_0_132:[bind(A_212,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m))),bind(M_27,$fot(t))]]) ).
cnf(refute_0_134,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)))),bind(Z,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))))))]]) ).
cnf(refute_0_135,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))))) )],[refute_0_129,refute_0_135]) ).
cnf(refute_0_137,plain,
( hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))))
| hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))))) ),[0],$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t))]]) ).
cnf(refute_0_138,plain,
( hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)
| hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))),
inference(resolve,[$cnf( $equal(hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)) )],[refute_0_41,refute_0_138]) ).
cnf(refute_0_140,plain,
( hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))))))]]) ).
cnf(refute_0_141,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)),
inference(resolve,[$cnf( $equal(hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))) != hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))))),bind(Z,$fot(hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))))]]) ).
cnf(refute_0_143,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))) != hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))))) )],[refute_0_129,refute_0_142]) ).
cnf(refute_0_144,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,t),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))),hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))) )],[refute_0_141,refute_0_143]) ).
cnf(refute_0_145,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)) != hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)))),bind(Z,$fot(hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))))]]) ).
cnf(refute_0_146,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)) != hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t))) )],[refute_0_133,refute_0_145]) ).
cnf(refute_0_147,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,t),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),t)),hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))) )],[refute_0_144,refute_0_146]) ).
cnf(refute_0_148,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) != hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)) ),[1],$fot(hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)))]]) ).
cnf(refute_0_149,plain,
( hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t),hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)) )],[refute_0_40,refute_0_149]) ).
cnf(refute_0_151,plain,
hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)) )],[refute_0_11,refute_0_150]) ).
cnf(refute_0_152,plain,
hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_153,plain,
hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),
introduced(tautology,[refl,[$fot(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))]]) ).
cnf(refute_0_154,plain,
( hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) ),[1,1],$fot(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))]]) ).
cnf(refute_0_155,plain,
( hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))) != hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)) ),
inference(resolve,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),
inference(resolve,[$cnf( $equal(hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)) )],[refute_0_18,refute_0_155]) ).
cnf(refute_0_157,plain,
( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234)
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234)) ),[0],$fot(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)))]]) ).
cnf(refute_0_158,plain,
( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234)
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234) ),
inference(resolve,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234),
inference(resolve,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234)) )],[refute_0_152,refute_0_158]) ).
cnf(refute_0_160,plain,
hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),
introduced(tautology,[refl,[$fot(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)))]]) ).
cnf(refute_0_161,plain,
( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)) != hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))
| hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) != hAPP_nat_nat(suc,one_one_nat)
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(suc,one_one_nat)) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))) ),[1,1],$fot(hAPP_nat_nat(suc,one_one_nat))]]) ).
cnf(refute_0_162,plain,
( hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) != hAPP_nat_nat(suc,one_one_nat)
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(suc,one_one_nat)) ),
inference(resolve,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)) = hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(suc,one_one_nat)),
inference(resolve,[$cnf( $equal(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat),hAPP_nat_nat(suc,one_one_nat)) )],[refute_0_15,refute_0_162]) ).
cnf(refute_0_164,plain,
( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234)
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)) != hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(suc,one_one_nat))
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(suc,one_one_nat)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234)) ),[0],$fot(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(suc,one_one_nat)))]]) ).
cnf(refute_0_165,plain,
( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234)
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(suc,one_one_nat)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234) ),
inference(resolve,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(suc,one_one_nat))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(suc,one_one_nat)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234),
inference(resolve,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_234),A_234)) )],[refute_0_159,refute_0_165]) ).
cnf(refute_0_167,plain,
hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s),
inference(subst,[],[refute_0_166:[bind(A_234,$fot(s))]]) ).
cnf(refute_0_168,plain,
hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) = hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),
introduced(tautology,[refl,[$fot(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))))]]) ).
cnf(refute_0_169,plain,
( hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) != hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)))
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) = hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)))) ),[1,1],$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s))]]) ).
cnf(refute_0_170,plain,
( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) = hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) = hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)),
inference(resolve,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
( hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) != hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) != hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s))
| hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))) ),[0],$fot(hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)))]]) ).
cnf(refute_0_173,plain,
( hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) != hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))
| hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)),
inference(resolve,[$cnf( $equal(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))),hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))) )],[refute_0_151,refute_0_173]) ).
cnf(refute_0_175,plain,
( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),bind(Y,$fot(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)))),bind(Z,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)))]]) ).
cnf(refute_0_176,plain,
( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s) ),
inference(resolve,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat))) )],[refute_0_27,refute_0_175]) ).
cnf(refute_0_177,plain,
hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s),
inference(resolve,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_nat_nat(suc,one_one_nat)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)) )],[refute_0_167,refute_0_176]) ).
cnf(refute_0_178,plain,
( hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) ),[1,1],$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s))]]) ).
cnf(refute_0_179,plain,
( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) )],[refute_0_28,refute_0_178]) ).
cnf(refute_0_180,plain,
hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)),
inference(resolve,[$cnf( $equal(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)) )],[refute_0_177,refute_0_179]) ).
cnf(refute_0_181,plain,
( hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)) != hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s))
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),bind(Y,$fot(hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)))),bind(Z,$fot(hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))))]]) ).
cnf(refute_0_182,plain,
( hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)) != hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)),
inference(resolve,[$cnf( $equal(hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,s),s)),hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))) )],[refute_0_174,refute_0_182]) ).
cnf(refute_0_184,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) != hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))
| hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int))),bind(Y,$fot(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),bind(Z,$fot(hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))))]]) ).
cnf(refute_0_185,plain,
( hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int),hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) )],[refute_0_35,refute_0_184]) ).
cnf(refute_0_186,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) = hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)),
inference(resolve,[$cnf( $equal(hAPP_int_int(succ,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))) )],[refute_0_183,refute_0_185]) ).
cnf(refute_0_187,plain,
hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)) = hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),
introduced(tautology,[refl,[$fot(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)))]]) ).
cnf(refute_0_188,plain,
( hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)) != hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) != hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))
| hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)) = hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int))) ),[1,1],$fot(hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)))]]) ).
cnf(refute_0_189,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int) != hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))
| hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)) = hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))) ),
inference(resolve,[$cnf( $equal(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)) = hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int),hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int),
introduced(tautology,[refl,[$fot(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int))]]) ).
cnf(refute_0_192,plain,
( hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)) != hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)))
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int) != hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)) ),[1,0],$fot(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))))]]) ).
cnf(refute_0_193,plain,
( hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)) != hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)))
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int),
inference(resolve,[$cnf( $equal(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)))) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
( hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int) != hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int) != hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int)
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int))),bind(Y,$fot(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int))),bind(Z,$fot(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)))]]) ).
cnf(refute_0_196,plain,
( hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int) != hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls),
inference(resolve,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),zero_zero_int),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)) )],[refute_0_10,refute_0_196]) ).
cnf(refute_0_198,plain,
( hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int) != hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)) ),
introduced(tautology,[equality,[$cnf( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)) ),[0],$fot(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls))]]) ).
cnf(refute_0_199,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)),
inference(resolve,[$cnf( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)) )],[refute_0_199,refute_0_0]) ).
cnf(refute_0_201,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_202,plain,
hAPP_int_int(bit0,pls) = pls,
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_203,plain,
hAPP_int_int(bit0,K_2) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),K_2),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_204,plain,
( hAPP_int_int(bit0,K_2) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),K_2)
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),K_2) = hAPP_int_int(bit0,K_2) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(hAPP_int_int(bit0,K_2))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),K_2)))]]) ).
cnf(refute_0_205,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),K_2) = hAPP_int_int(bit0,K_2),
inference(resolve,[$cnf( $equal(hAPP_int_int(bit0,K_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),K_2)) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls) = hAPP_int_int(bit0,pls),
inference(subst,[],[refute_0_205:[bind(K_2,$fot(pls))]]) ).
cnf(refute_0_207,plain,
( hAPP_int_int(bit0,pls) != pls
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls) != hAPP_int_int(bit0,pls)
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls) = pls ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls))),bind(Y,$fot(hAPP_int_int(bit0,pls))),bind(Z,$fot(pls))]]) ).
cnf(refute_0_208,plain,
( hAPP_int_int(bit0,pls) != pls
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls) = pls ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls),hAPP_int_int(bit0,pls)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls) = pls,
inference(resolve,[$cnf( $equal(hAPP_int_int(bit0,pls),pls) )],[refute_0_202,refute_0_208]) ).
cnf(refute_0_210,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int) = zero_zero_int,
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_211,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int),
introduced(tautology,[refl,[$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int))]]) ).
cnf(refute_0_212,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int)
| zero_zero_int != pls
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int)) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_213,plain,
( zero_zero_int != pls
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int)) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls),
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_6,refute_0_213]) ).
cnf(refute_0_215,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls)
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int) != zero_zero_int
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls) = zero_zero_int ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int),zero_zero_int) ),[0],$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls))]]) ).
cnf(refute_0_216,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int) != zero_zero_int
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls) = zero_zero_int ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls)) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls) != zero_zero_int
| zero_zero_int != pls
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls) = pls ),
introduced(tautology,[equality,[$cnf( ~ $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls),pls) ),[0],$fot(zero_zero_int)]]) ).
cnf(refute_0_218,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls) != zero_zero_int
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls) = pls ),
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_6,refute_0_217]) ).
cnf(refute_0_219,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int) != zero_zero_int
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls) = pls ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls),zero_zero_int) )],[refute_0_216,refute_0_218]) ).
cnf(refute_0_220,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),pls) = pls,
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_221),zero_zero_int),zero_zero_int) )],[refute_0_210,refute_0_219]) ).
cnf(refute_0_221,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),pls) = pls,
inference(subst,[],[refute_0_220:[bind(A_221,$fot(m))]]) ).
cnf(refute_0_222,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),W) = pls,
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_223,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))) = pls,
inference(subst,[],[refute_0_222:[bind(W,$fot(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))]]) ).
cnf(refute_0_224,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),
introduced(tautology,[refl,[$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))]]) ).
cnf(refute_0_225,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))
| hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) ),[1,1],$fot(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))]]) ).
cnf(refute_0_226,plain,
( hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))),
inference(resolve,[$cnf( $equal(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))) )],[refute_0_90,refute_0_226]) ).
cnf(refute_0_228,plain,
hAPP_int_fun_int_int(times_times_int,zero_zero_int) = hAPP_int_fun_int_int(times_times_int,zero_zero_int),
introduced(tautology,[refl,[$fot(hAPP_int_fun_int_int(times_times_int,zero_zero_int))]]) ).
cnf(refute_0_229,plain,
( hAPP_int_fun_int_int(times_times_int,zero_zero_int) != hAPP_int_fun_int_int(times_times_int,zero_zero_int)
| zero_zero_int != pls
| hAPP_int_fun_int_int(times_times_int,zero_zero_int) = hAPP_int_fun_int_int(times_times_int,pls) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_fun_int_int(times_times_int,zero_zero_int)) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_230,plain,
( zero_zero_int != pls
| hAPP_int_fun_int_int(times_times_int,zero_zero_int) = hAPP_int_fun_int_int(times_times_int,pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_fun_int_int(times_times_int,zero_zero_int)) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
hAPP_int_fun_int_int(times_times_int,zero_zero_int) = hAPP_int_fun_int_int(times_times_int,pls),
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_6,refute_0_230]) ).
cnf(refute_0_232,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),
introduced(tautology,[refl,[$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))]]) ).
cnf(refute_0_233,plain,
( hAPP_int_fun_int_int(times_times_int,zero_zero_int) != hAPP_int_fun_int_int(times_times_int,pls)
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) ),[1,0],$fot(hAPP_int_fun_int_int(times_times_int,pls))]]) ).
cnf(refute_0_234,plain,
( hAPP_int_fun_int_int(times_times_int,zero_zero_int) != hAPP_int_fun_int_int(times_times_int,pls)
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),
inference(resolve,[$cnf( $equal(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_fun_int_int(times_times_int,pls)) )],[refute_0_231,refute_0_234]) ).
cnf(refute_0_236,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),bind(Z,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))))]]) ).
cnf(refute_0_237,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))) )],[refute_0_227,refute_0_237]) ).
cnf(refute_0_239,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))) != pls
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = pls ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))))),bind(Z,$fot(pls))]]) ).
cnf(refute_0_240,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))) != pls
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = pls ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int))))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) = pls,
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))),pls) )],[refute_0_223,refute_0_240]) ).
cnf(refute_0_242,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),
introduced(tautology,[refl,[$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))]]) ).
cnf(refute_0_243,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != pls
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),pls) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_244,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))) != pls
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),pls),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),pls) )],[refute_0_241,refute_0_244]) ).
cnf(refute_0_246,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),pls)
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),pls) != pls
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) = pls ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),pls))),bind(Z,$fot(pls))]]) ).
cnf(refute_0_247,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),pls) != pls
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) = pls ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),pls)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) = pls,
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),pls),pls) )],[refute_0_221,refute_0_247]) ).
cnf(refute_0_249,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),
inference(subst,[],[refute_0_110:[bind(Lx_3,$fot(m)),bind(Ly_1,$fot(zero_zero_int)),bind(Rx_3,$fot(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))]]) ).
cnf(refute_0_250,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_int)),
inference(subst,[],[refute_0_114:[bind(Lx,$fot(m)),bind(Rx,$fot(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),bind(Ry,$fot(zero_zero_int))]]) ).
cnf(refute_0_251,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),zero_zero_int)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_int))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_int)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),zero_zero_int)))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_int)))),bind(Z,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))]]) ).
cnf(refute_0_252,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_int)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),zero_zero_int)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_int))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_int)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))) )],[refute_0_249,refute_0_252]) ).
cnf(refute_0_254,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),zero_zero_int)),
inference(subst,[],[refute_0_100:[bind(Z1,$fot(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),bind(Z2,$fot(m)),bind(Z3,$fot(zero_zero_int))]]) ).
cnf(refute_0_255,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),zero_zero_int))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),zero_zero_int)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),zero_zero_int)))),bind(Z,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))]]) ).
cnf(refute_0_256,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),zero_zero_int)) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),zero_zero_int))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int) = hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),zero_zero_int)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))) )],[refute_0_253,refute_0_256]) ).
cnf(refute_0_258,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int) != hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) != pls
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int) = pls ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),bind(Z,$fot(pls))]]) ).
cnf(refute_0_259,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))) != pls
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int) = pls ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int) = pls,
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,m),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),pls) )],[refute_0_248,refute_0_259]) ).
cnf(refute_0_261,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)),
introduced(tautology,[refl,[$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)))]]) ).
cnf(refute_0_262,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int) != pls
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int))) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_263,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int) != pls
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int),pls) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
hAPP_int_fun_int_int(plus_plus_int,zero_zero_int) = hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),
introduced(tautology,[refl,[$fot(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int))]]) ).
cnf(refute_0_266,plain,
( hAPP_int_fun_int_int(plus_plus_int,zero_zero_int) != hAPP_int_fun_int_int(plus_plus_int,zero_zero_int)
| zero_zero_int != pls
| hAPP_int_fun_int_int(plus_plus_int,zero_zero_int) = hAPP_int_fun_int_int(plus_plus_int,pls) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_fun_int_int(plus_plus_int,zero_zero_int)) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_267,plain,
( zero_zero_int != pls
| hAPP_int_fun_int_int(plus_plus_int,zero_zero_int) = hAPP_int_fun_int_int(plus_plus_int,pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_fun_int_int(plus_plus_int,zero_zero_int)) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
hAPP_int_fun_int_int(plus_plus_int,zero_zero_int) = hAPP_int_fun_int_int(plus_plus_int,pls),
inference(resolve,[$cnf( $equal(zero_zero_int,pls) )],[refute_0_6,refute_0_267]) ).
cnf(refute_0_269,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)),
introduced(tautology,[refl,[$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)))]]) ).
cnf(refute_0_270,plain,
( hAPP_int_fun_int_int(plus_plus_int,zero_zero_int) != hAPP_int_fun_int_int(plus_plus_int,pls)
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int))) ),[1,0],$fot(hAPP_int_fun_int_int(plus_plus_int,pls))]]) ).
cnf(refute_0_271,plain,
( hAPP_int_fun_int_int(plus_plus_int,zero_zero_int) != hAPP_int_fun_int_int(plus_plus_int,pls)
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)),
inference(resolve,[$cnf( $equal(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_fun_int_int(plus_plus_int,pls)) )],[refute_0_268,refute_0_271]) ).
cnf(refute_0_273,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls)
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)))),bind(Z,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls)))]]) ).
cnf(refute_0_274,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls)
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls)) )],[refute_0_264,refute_0_274]) ).
cnf(refute_0_276,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls) != pls
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls)
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) = pls ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls))),bind(Z,$fot(pls))]]) ).
cnf(refute_0_277,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls) != pls
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) = pls ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls)) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) = pls,
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),pls),pls) )],[refute_0_209,refute_0_277]) ).
cnf(refute_0_279,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)),
inference(subst,[],[refute_0_132:[bind(A_212,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m))),bind(M_27,$fot(zero_zero_int))]]) ).
cnf(refute_0_280,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) != pls
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int) != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int) = pls ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))),bind(Y,$fot(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)))),bind(Z,$fot(pls))]]) ).
cnf(refute_0_281,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)) != pls
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int) = pls ),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int) = pls,
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),zero_zero_int)),pls) )],[refute_0_278,refute_0_281]) ).
cnf(refute_0_283,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)),
introduced(tautology,[refl,[$fot(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)))]]) ).
cnf(refute_0_284,plain,
( hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) != hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int) != pls
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))) ),[1,1],$fot(pls)]]) ).
cnf(refute_0_285,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int) != pls
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int),pls) )],[refute_0_282,refute_0_285]) ).
cnf(refute_0_287,plain,
hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)) = hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),
introduced(tautology,[refl,[$fot(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)))]]) ).
cnf(refute_0_288,plain,
( hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)) != hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t))
| hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) != hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))
| hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)) = hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t))) ),[1,1],$fot(hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)))]]) ).
cnf(refute_0_289,plain,
( hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t) != hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))
| hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)) = hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))) ),
inference(resolve,[$cnf( $equal(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)) = hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),
inference(resolve,[$cnf( $equal(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t),hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))) )],[refute_0_147,refute_0_289]) ).
cnf(refute_0_291,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)),
introduced(tautology,[refl,[$fot(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)))]]) ).
cnf(refute_0_292,plain,
( hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)) != hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)))
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) != hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) ),
introduced(tautology,[equality,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))) ),[1,0],$fot(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))))]]) ).
cnf(refute_0_293,plain,
( hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)) != hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)))
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)),
inference(resolve,[$cnf( $equal(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)))) )],[refute_0_290,refute_0_293]) ).
cnf(refute_0_295,plain,
( hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) != hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) != hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)))),bind(Y,$fot(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)))),bind(Z,$fot(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)))]]) ).
cnf(refute_0_296,plain,
( hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) != hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)
| hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls),
inference(resolve,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)) )],[refute_0_286,refute_0_296]) ).
cnf(refute_0_298,plain,
( hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)) != hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)) ),
introduced(tautology,[equality,[$cnf( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))) ),[0],$fot(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls))]]) ).
cnf(refute_0_299,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)))
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)) ),
inference(resolve,[$cnf( $equal(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int)),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)),
inference(resolve,[$cnf( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))) )],[refute_0_201,refute_0_299]) ).
cnf(refute_0_301,plain,
$false,
inference(resolve,[$cnf( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))),pls)) )],[refute_0_300,refute_0_200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM924+4 : TPTP v8.1.0. Released v5.3.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 14:50:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 14.86/15.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.86/15.03
% 14.86/15.03 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.86/15.09
%------------------------------------------------------------------------------