# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))),s(X1,X3),s(X1,X2))))<=>?[X7]:(p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(t_h4s_nums_num,X5),s(X1,X3),s(X1,X7))))&p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(t_h4s_nums_num,X4),s(X1,X7),s(X1,X2)))))),file('i/f/arithmetic/NRC__ADD__EQN', ch4s_arithmetics_NRCu_u_ADDu_u_EQN)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/NRC__ADD__EQN', aHLu_FALSITY)).
fof(19, axiom,![X1]:![X2]:![X7]:![X3]:![X4]:![X5]:![X6]:((p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(t_h4s_nums_num,X5),s(X1,X3),s(X1,X7))))&p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(t_h4s_nums_num,X4),s(X1,X7),s(X1,X2)))))=>p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))),s(X1,X3),s(X1,X2))))),file('i/f/arithmetic/NRC__ADD__EQN', ah4s_arithmetics_NRCu_u_ADDu_u_I)).
fof(20, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4))),s(X1,X3),s(X1,X2))))=>?[X7]:(p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(t_h4s_nums_num,X5),s(X1,X3),s(X1,X7))))&p(s(t_bool,h4s_arithmetics_nrc(s(t_fun(X1,t_fun(X1,t_bool)),X6),s(t_h4s_nums_num,X4),s(X1,X7),s(X1,X2)))))),file('i/f/arithmetic/NRC__ADD__EQN', ah4s_arithmetics_NRCu_u_ADDu_u_E)).
fof(23, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f)),file('i/f/arithmetic/NRC__ADD__EQN', aHLu_BOOLu_CASES)).
fof(25, axiom,p(s(t_bool,t)),file('i/f/arithmetic/NRC__ADD__EQN', aHLu_TRUTH)).
fof(27, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)<=>p(s(t_bool,X10))),file('i/f/arithmetic/NRC__ADD__EQN', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
