# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X4))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3))))))),file('i/f/arithmetic/LESS__MONO__MULT2', ch4s_arithmetics_LESSu_u_MONOu_u_MULT2)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/LESS__MONO__MULT2', aHLu_FALSITY)).
fof(27, axiom,![X13]:![X1]:![X2]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X13)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X13))))),file('i/f/arithmetic/LESS__MONO__MULT2', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(28, axiom,![X13]:![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X13))),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X13))))))),file('i/f/arithmetic/LESS__MONO__MULT2', ah4s_arithmetics_LESSu_u_MONOu_u_MULT)).
fof(29, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),file('i/f/arithmetic/LESS__MONO__MULT2', ah4s_arithmetics_MULTu_u_COMM)).
fof(30, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/arithmetic/LESS__MONO__MULT2', aHLu_BOOLu_CASES)).
fof(31, axiom,p(s(t_bool,t)),file('i/f/arithmetic/LESS__MONO__MULT2', aHLu_TRUTH)).
fof(33, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/arithmetic/LESS__MONO__MULT2', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
