%   ORIGINAL: h4/int__arith/move__sub
% 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/integer/INT__ADD__RID: !x. h4/integer/int__add x (h4/integer/int__of__num h4/num/0) = x
% Assm: h4/integer/INT__ADD2__SUB2: !d c b a. h4/integer/int__sub (h4/integer/int__add a b) (h4/integer/int__add c d) = h4/integer/int__add (h4/integer/int__sub a c) (h4/integer/int__sub b d)
% Assm: h4/integer/INT__SUB__RZERO: !x. h4/integer/int__sub x (h4/integer/int__of__num h4/num/0) = x
% Goal: !c b a. h4/integer/int__add (h4/integer/int__sub a c) b = h4/integer/int__sub (h4/integer/int__add a b) c
%   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_integers_INTu_u_ADDu_u_RID]: !x. h4/integer/int__add x (h4/integer/int__of__num h4/num/0) = x
% Assm [h4s_integers_INTu_u_ADD2u_u_SUB2]: !d c b a. h4/integer/int__sub (h4/integer/int__add a b) (h4/integer/int__add c d) = h4/integer/int__add (h4/integer/int__sub a c) (h4/integer/int__sub b d)
% Assm [h4s_integers_INTu_u_SUBu_u_RZERO]: !x. h4/integer/int__sub x (h4/integer/int__of__num h4/num/0) = x
% Goal: !c b a. h4/integer/int__add (h4/integer/int__sub a c) b = h4/integer/int__sub (h4/integer/int__add a b) c
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_Q208443,TV_Q208439]: ![V_f, V_g]: (![V_x]: s(TV_Q208439,happ(s(t_fun(TV_Q208443,TV_Q208439),V_f),s(TV_Q208443,V_x))) = s(TV_Q208439,happ(s(t_fun(TV_Q208443,TV_Q208439),V_g),s(TV_Q208443,V_x))) => s(t_fun(TV_Q208443,TV_Q208439),V_f) = s(t_fun(TV_Q208443,TV_Q208439),V_g))).
fof(ah4s_integers_INTu_u_ADDu_u_RID, axiom, ![V_x]: s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,V_x),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)).
fof(ah4s_integers_INTu_u_ADD2u_u_SUB2, axiom, ![V_d, V_c, V_b, V_a]: 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_a),s(t_h4s_integers_int,V_b))),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,V_c),s(t_h4s_integers_int,V_d))))) = s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,V_a),s(t_h4s_integers_int,V_c))),s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,V_b),s(t_h4s_integers_int,V_d)))))).
fof(ah4s_integers_INTu_u_SUBu_u_RZERO, axiom, ![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_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))) = s(t_h4s_integers_int,V_x)).
fof(ch4s_intu_u_ariths_moveu_u_sub, conjecture, ![V_c, V_b, V_a]: s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,V_a),s(t_h4s_integers_int,V_c))),s(t_h4s_integers_int,V_b))) = 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_a),s(t_h4s_integers_int,V_b))),s(t_h4s_integers_int,V_c)))).
