%   ORIGINAL: h4/int__bitwise/int__not__not
% Assm: HL_TRUTH: T
% Assm: HL_FALSITY: ~F
% Assm: HL_BOOL_CASES: !t. (t <=> T) \/ (t <=> F)
% Assm: HL_EXT: !f g. (!x. f x = g x) ==> f = g
% Assm: h4/bool/TRUTH: T
% Assm: h4/bool/REFL__CLAUSE: !x. x = x <=> T
% Assm: h4/integer/INT__NEG__SUB: !y x. h4/integer/int__neg (h4/integer/int__sub x y) = h4/integer/int__sub y x
% Assm: h4/integer/INT__ADD__SUB: !y x. h4/integer/int__sub (h4/integer/int__add x y) x = y
% Assm: h4/integer/INT__SUB__LZERO: !x. h4/integer/int__sub (h4/integer/int__of__num h4/num/0) x = h4/integer/int__neg x
% Assm: h4/integer/INT__SUB__RNEG: !y x. h4/integer/int__sub x (h4/integer/int__neg y) = h4/integer/int__add x y
% Assm: h4/int__bitwise/int__not__def: !i. h4/int__bitwise/int__not i = h4/integer/int__sub (h4/integer/int__sub (h4/integer/int__of__num h4/num/0) i) (h4/integer/int__of__num (h4/arithmetic/NUMERAL (h4/arithmetic/BIT1 h4/arithmetic/ZERO)))
% Goal: !i. h4/int__bitwise/int__not (h4/int__bitwise/int__not i) = i
%   PROCESSED
% Assm [HLu_TRUTH]: T
% Assm [HLu_FALSITY]: ~F
% Assm [HLu_BOOLu_CASES]: !t. (t <=> T) \/ (t <=> F)
% Assm [HLu_EXT]: !f g. (!x. happ f x = happ g x) ==> f = g
% Assm [h4s_bools_TRUTH]: T
% Assm [h4s_bools_REFLu_u_CLAUSE]: !x. x = x <=> T
% Assm [h4s_integers_INTu_u_NEGu_u_SUB]: !y x. h4/integer/int__neg (h4/integer/int__sub x y) = h4/integer/int__sub y x
% Assm [h4s_integers_INTu_u_ADDu_u_SUB]: !y x. h4/integer/int__sub (h4/integer/int__add x y) x = y
% Assm [h4s_integers_INTu_u_SUBu_u_LZERO]: !x. h4/integer/int__sub (h4/integer/int__of__num h4/num/0) x = h4/integer/int__neg x
% Assm [h4s_integers_INTu_u_SUBu_u_RNEG]: !y x. h4/integer/int__sub x (h4/integer/int__neg y) = h4/integer/int__add x y
% Assm [h4s_intu_u_bitwises_intu_u_notu_u_def]: !i. h4/int__bitwise/int__not i = h4/integer/int__sub (h4/integer/int__sub (h4/integer/int__of__num h4/num/0) i) (h4/integer/int__of__num (h4/arithmetic/NUMERAL (h4/arithmetic/BIT1 h4/arithmetic/ZERO)))
% Goal: !i. h4/int__bitwise/int__not (h4/int__bitwise/int__not i) = i
fof(aHLu_TRUTH, axiom, p(s(t_bool,t))).
fof(aHLu_FALSITY, axiom, ~ (p(s(t_bool,f)))).
fof(aHLu_BOOLu_CASES, axiom, ![V_t]: (s(t_bool,V_t) = s(t_bool,t) | s(t_bool,V_t) = s(t_bool,f))).
fof(aHLu_EXT, axiom, ![TV_Q78867,TV_Q78863]: ![V_f, V_g]: (![V_x]: s(TV_Q78863,happ(s(t_fun(TV_Q78867,TV_Q78863),V_f),s(TV_Q78867,V_x))) = s(TV_Q78863,happ(s(t_fun(TV_Q78867,TV_Q78863),V_g),s(TV_Q78867,V_x))) => s(t_fun(TV_Q78867,TV_Q78863),V_f) = s(t_fun(TV_Q78867,TV_Q78863),V_g))).
fof(ah4s_bools_TRUTH, axiom, p(s(t_bool,t))).
fof(ah4s_bools_REFLu_u_CLAUSE, axiom, ![TV_u_27a]: ![V_x]: (s(TV_u_27a,V_x) = s(TV_u_27a,V_x) <=> p(s(t_bool,t)))).
fof(ah4s_integers_INTu_u_NEGu_u_SUB, axiom, ![V_y, V_x]: s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,V_x),s(t_h4s_integers_int,V_y))))) = s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,V_y),s(t_h4s_integers_int,V_x)))).
fof(ah4s_integers_INTu_u_ADDu_u_SUB, axiom, ![V_y, V_x]: s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,V_x),s(t_h4s_integers_int,V_y))),s(t_h4s_integers_int,V_x))) = s(t_h4s_integers_int,V_y)).
fof(ah4s_integers_INTu_u_SUBu_u_LZERO, axiom, ![V_x]: s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,V_x))) = s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,V_x)))).
fof(ah4s_integers_INTu_u_SUBu_u_RNEG, axiom, ![V_y, V_x]: s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,V_x),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,V_y))))) = s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,V_x),s(t_h4s_integers_int,V_y)))).
fof(ah4s_intu_u_bitwises_intu_u_notu_u_def, axiom, ![V_i]: s(t_h4s_integers_int,h4s_intu_u_bitwises_intu_u_not(s(t_h4s_integers_int,V_i))) = s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,V_i))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))).
fof(ch4s_intu_u_bitwises_intu_u_notu_u_not, conjecture, ![V_i]: s(t_h4s_integers_int,h4s_intu_u_bitwises_intu_u_not(s(t_h4s_integers_int,h4s_intu_u_bitwises_intu_u_not(s(t_h4s_integers_int,V_i))))) = s(t_h4s_integers_int,V_i)).
