# 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(25, 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(26, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_primu_u_recs_u_3c(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,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', ah4s_arithmetics_LESSu_u_TRANS)).
fof(27, 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,X2),s(t_h4s_nums_num,X3))))),file('i/f/arithmetic/LT__SUB__RCANCEL', ah4s_arithmetics_NOTu_u_LESSu_u_EQUAL)).
fof(28, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2))),file('i/f/arithmetic/LT__SUB__RCANCEL', ah4s_arithmetics_SUBu_u_LEFTu_u_LESS)).
fof(29, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X2),file('i/f/arithmetic/LT__SUB__RCANCEL', ah4s_arithmetics_ADDu_c0)).
fof(30, axiom,![X2]:![X3]:(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,h4s_nums_0)<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2))))),file('i/f/arithmetic/LT__SUB__RCANCEL', ah4s_arithmetics_SUBu_u_EQu_u_0)).
fof(31, 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(32, 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(33, axiom,p(s(t_bool,t)),file('i/f/arithmetic/LT__SUB__RCANCEL', aHLu_TRUTH)).
fof(35, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/arithmetic/LT__SUB__RCANCEL', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
