# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_arithmetics_absu_u_diff(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X1),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ch4s_arithmetics_ABSu_u_DIFFu_u_ZEROu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', 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/arithmetic/ABS__DIFF__ZERO_c0', aHLu_BOOLu_CASES)).
fof(20, axiom,![X1]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(21, axiom,![X12]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ah4s_arithmetics_SUBu_u_0u_c0)).
fof(22, axiom,![X12]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X12),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ah4s_arithmetics_SUBu_u_0u_c1)).
fof(23, axiom,![X1]:![X12]:s(t_h4s_nums_num,h4s_arithmetics_absu_u_diff(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X12))))),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ah4s_arithmetics_ABSu_u_DIFFu_u_def)).
fof(26, 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/arithmetic/ABS__DIFF__ZERO_c0', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
