# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,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,X2)=s(t_h4s_nums_num,h4s_nums_0)|p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/LE__MULT__CANCEL__LBARE_c0', ch4s_arithmetics_LEu_u_MULTu_u_CANCELu_u_LBAREu_c0)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/LE__MULT__CANCEL__LBARE_c0', aHLu_FALSITY)).
fof(9, axiom,![X6]:(s(t_bool,f)=s(t_bool,X6)<=>~(p(s(t_bool,X6)))),file('i/f/arithmetic/LE__MULT__CANCEL__LBARE_c0', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(10, axiom,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(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,X1))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))))&s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/arithmetic/LE__MULT__CANCEL__LBARE_c0', ah4s_arithmetics_LTu_u_MULTu_u_CANCELu_u_RBAREu_c1)).
fof(12, axiom,![X1]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X1))))),file('i/f/arithmetic/LE__MULT__CANCEL__LBARE_c0', ah4s_primu_u_recs_LESSu_u_REFL)).
fof(15, axiom,![X1]:(~(s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))))),file('i/f/arithmetic/LE__MULT__CANCEL__LBARE_c0', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(22, axiom,![X1]:![X2]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(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,X2))))),file('i/f/arithmetic/LE__MULT__CANCEL__LBARE_c0', ah4s_arithmetics_NOTu_u_LESS)).
fof(24, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/arithmetic/LE__MULT__CANCEL__LBARE_c0', ah4s_arithmetics_LESSu_u_EQu_u_0)).
fof(33, axiom,![X2]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X2)))),file('i/f/arithmetic/LE__MULT__CANCEL__LBARE_c0', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(61, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/LE__MULT__CANCEL__LBARE_c0', ah4s_arithmetics_MULTu_u_CLAUSESu_c0)).
fof(62, 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/LE__MULT__CANCEL__LBARE_c0', ah4s_arithmetics_MULTu_u_COMM)).
# SZS output end CNFRefutation
