# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_integers_intu_u_lt(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,X1))))=>s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X1)))=s(t_h4s_integers_int,X1)),file('i/f/intExtension/INT__ABS__CALCULATE__POS', ch4s_intExtensions_INTu_u_ABSu_u_CALCULATEu_u_POS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/intExtension/INT__ABS__CALCULATE__POS', aHLu_TRUTH)).
fof(4, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/intExtension/INT__ABS__CALCULATE__POS', aHLu_BOOLu_CASES)).
fof(12, axiom,![X7]:![X6]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X7))))=>~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X7),s(t_h4s_integers_int,X6)))))),file('i/f/intExtension/INT__ABS__CALCULATE__POS', ah4s_integers_INTu_u_LTu_u_GT)).
fof(13, axiom,![X9]:s(t_h4s_integers_int,h4s_integers_abs(s(t_h4s_integers_int,X9)))=s(t_h4s_integers_int,h4s_bools_cond(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X9),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,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X9))),s(t_h4s_integers_int,X9))),file('i/f/intExtension/INT__ABS__CALCULATE__POS', ah4s_integers_INTu_u_ABS)).
fof(15, axiom,![X5]:![X3]:![X4]:s(X5,h4s_bools_cond(s(t_bool,f),s(X5,X4),s(X5,X3)))=s(X5,X3),file('i/f/intExtension/INT__ABS__CALCULATE__POS', ah4s_bools_boolu_u_caseu_u_thmu_c1)).
# SZS output end CNFRefutation
