# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/integer/LT__LADD', ch4s_integers_LTu_u_LADD)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer/LT__LADD', aHLu_FALSITY)).
fof(10, axiom,![X5]:((p(s(t_bool,X5))=>p(s(t_bool,f)))<=>s(t_bool,X5)=s(t_bool,f)),file('i/f/integer/LT__LADD', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(12, axiom,![X10]:![X11]:(s(t_bool,X11)=s(t_bool,X10)<=>((p(s(t_bool,X11))&p(s(t_bool,X10)))|(~(p(s(t_bool,X11)))&~(p(s(t_bool,X10)))))),file('i/f/integer/LT__LADD', ah4s_bools_EQu_u_EXPAND)).
fof(23, axiom,![X15]:![X16]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X16))))),file('i/f/integer/LT__LADD', ah4s_arithmetics_NOTu_u_LESS)).
fof(29, axiom,![X14]:![X15]:![X16]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X14)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14))),file('i/f/integer/LT__LADD', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(33, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/integer/LT__LADD', aHLu_BOOLu_CASES)).
fof(36, axiom,p(s(t_bool,t)),file('i/f/integer/LT__LADD', aHLu_TRUTH)).
fof(38, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/integer/LT__LADD', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
