# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))))))<=>(s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_nums_0)|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/LE__MULT__LCANCEL', ch4s_arithmetics_LEu_u_MULTu_u_LCANCEL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/LE__MULT__LCANCEL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/LE__MULT__LCANCEL', aHLu_FALSITY)).
fof(10, axiom,![X6]:(s(t_bool,t)=s(t_bool,X6)<=>p(s(t_bool,X6))),file('i/f/arithmetic/LE__MULT__LCANCEL', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(12, axiom,![X3]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X3)))),file('i/f/arithmetic/LE__MULT__LCANCEL', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(13, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/arithmetic/LE__MULT__LCANCEL', aHLu_BOOLu_CASES)).
fof(15, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2))))),file('i/f/arithmetic/LE__MULT__LCANCEL', ah4s_arithmetics_MULTu_u_LESSu_u_EQu_u_SUC)).
fof(17, axiom,![X3]:(s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_nums_0)|?[X2]:s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))),file('i/f/arithmetic/LE__MULT__LCANCEL', ah4s_arithmetics_numu_u_CASES)).
fof(18, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/LE__MULT__LCANCEL', ah4s_arithmetics_MULTu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
