# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X2))))<=>(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)|s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/divides/DIVIDES__MULT__LEFT', ch4s_dividess_DIVIDESu_u_MULTu_u_LEFT)).
fof(6, axiom,![X6]:p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X6)))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_dividess_ONEu_u_DIVIDESu_u_ALL)).
fof(7, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_nums_num,X2),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_arithmetics_MULTu_u_CLAUSESu_c3)).
fof(10, axiom,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X1)))))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_arithmetics_LTu_u_MULTu_u_CANCELu_u_LBAREu_c1)).
fof(12, axiom,![X1]:![X2]:(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,X2))))<=>(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,X1),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_arithmetics_LEu_u_MULTu_u_CANCELu_u_RBAREu_c0)).
fof(13, axiom,![X4]:![X5]:(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))<=>(s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))&s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_arithmetics_MULTu_u_EQu_u_1)).
fof(14, axiom,![X1]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X1))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(15, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_numerals_numeralu_u_distribu_c27)).
fof(18, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_arithmetics_MULTu_u_0)).
fof(19, 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_nums_0)<=>(s(t_h4s_nums_num,X2)=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/divides/DIVIDES__MULT__LEFT', ah4s_arithmetics_MULTu_u_EQu_u_0)).
fof(28, axiom,![X11]:![X12]:((p(s(t_bool,X12))=>p(s(t_bool,X11)))=>((p(s(t_bool,X11))=>p(s(t_bool,X12)))=>s(t_bool,X12)=s(t_bool,X11))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(46, axiom,![X19]:![X6]:(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X19))))<=>?[X8]:s(t_h4s_nums_num,X19)=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X6)))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_dividess_dividesu_u_def)).
fof(47, axiom,![X19]:![X6]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X19))))&p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X19)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X19))))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_dividess_DIVIDESu_u_LE)).
fof(48, axiom,![X20]:![X19]:![X6]:(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X19))))=>p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X20))))))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_dividess_DIVIDESu_u_MULT)).
fof(49, axiom,![X1]:![X2]:(p(s(t_bool,h4s_dividess_divides(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,X2),s(t_h4s_nums_num,X1))))|s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_dividess_DIVIDESu_u_LEQu_u_ORu_u_ZERO)).
fof(50, axiom,![X2]:(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2))))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_dividess_ZEROu_u_DIVIDES)).
fof(52, axiom,![X19]:![X6]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X19))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X6)))))=>~(p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X19)))))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_dividess_NOTu_u_LTu_u_DIVIDES)).
fof(53, axiom,![X19]:![X6]:((p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X19))))&p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X6)))))=>s(t_h4s_nums_num,X6)=s(t_h4s_nums_num,X19)),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_dividess_DIVIDESu_u_ANTISYM)).
fof(56, axiom,![X6]:p(s(t_bool,h4s_dividess_divides(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,X6)))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_dividess_DIVIDESu_u_REFL)).
fof(59, 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/divides/DIVIDES__MULT__LEFT', ah4s_arithmetics_MULTu_u_COMM)).
fof(63, axiom,![X1]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(64, axiom,![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/divides/DIVIDES__MULT__LEFT', ah4s_arithmetics_LEu_u_MULTu_u_CANCELu_u_LBAREu_c0)).
fof(69, axiom,![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_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))|s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
fof(72, axiom,![X1]:![X2]:(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,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/divides/DIVIDES__MULT__LEFT', ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
fof(73, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(87, axiom,![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_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2))))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_arithmetics_NOTu_u_LEQ)).
fof(88, axiom,![X1]:![X2]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X1))),file('i/f/divides/DIVIDES__MULT__LEFT', ah4s_arithmetics_LESSu_u_EQ)).
# SZS output end CNFRefutation
