# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3))))))<=>(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_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1)))))),file('i/f/arithmetic/LT__SUB__RCANCEL', ch4s_arithmetics_LTu_u_SUBu_u_RCANCEL)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/arithmetic/LT__SUB__RCANCEL', aHLu_FALSITY)).
fof(3, axiom,![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))|s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,X2))),file('i/f/arithmetic/LT__SUB__RCANCEL', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(10, axiom,![X2]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))))=>s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X3)),file('i/f/arithmetic/LT__SUB__RCANCEL', ah4s_arithmetics_SUBu_u_ADD)).
fof(14, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X1))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),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)))))),file('i/f/arithmetic/LT__SUB__RCANCEL', ah4s_arithmetics_SUBu_u_RIGHTu_u_LESS)).
fof(19, axiom,![X6]:(s(t_bool,f)=s(t_bool,X6)<=>~(p(s(t_bool,X6)))),file('i/f/arithmetic/LT__SUB__RCANCEL', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(59, axiom,![X2]:![X3]: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,X2),s(t_h4s_nums_num,X3))),file('i/f/arithmetic/LT__SUB__RCANCEL', ah4s_arithmetics_ADDu_u_SYM)).
fof(61, axiom,![X2]:![X3]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))))),file('i/f/arithmetic/LT__SUB__RCANCEL', ah4s_arithmetics_SUBu_u_LESSu_u_0)).
fof(91, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/arithmetic/LT__SUB__RCANCEL', aHLu_BOOLu_CASES)).
fof(93, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/arithmetic/LT__SUB__RCANCEL', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
