# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2)))))))=s(t_bool,f),file('i/f/integer/INT__LT__CALCULATE_c3', ch4s_integers_INTu_u_LTu_u_CALCULATEu_c3)).
fof(19, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__LT__CALCULATE_c3', aHLu_FALSITY)).
fof(20, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/integer/INT__LT__CALCULATE_c3', aHLu_BOOLu_CASES)).
fof(23, axiom,![X8]:(s(t_bool,f)=s(t_bool,X8)<=>~(p(s(t_bool,X8)))),file('i/f/integer/INT__LT__CALCULATE_c3', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(36, axiom,![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(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)))),file('i/f/integer/INT__LT__CALCULATE_c3', ah4s_integers_INTu_u_LTu_u_CALCULATEu_c2)).
fof(38, axiom,![X1]:![X2]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/integer/INT__LT__CALCULATE_c3', ah4s_integers_INTu_u_LT)).
fof(44, axiom,![X5]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X5)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X5),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/integer/INT__LT__CALCULATE_c3', ah4s_integers_INTu_u_NEGu_u_GT0)).
fof(46, axiom,![X4]:![X5]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X5),s(t_h4s_integers_int,X4))))<=>(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X5),s(t_h4s_integers_int,X4))))&~(s(t_h4s_integers_int,X5)=s(t_h4s_integers_int,X4)))),file('i/f/integer/INT__LT__CALCULATE_c3', ah4s_integers_INTu_u_LTu_u_LE)).
fof(49, axiom,![X4]:![X5]:(~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X5),s(t_h4s_integers_int,X4)))))<=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X5))))),file('i/f/integer/INT__LT__CALCULATE_c3', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(50, axiom,s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/integer/INT__LT__CALCULATE_c3', ah4s_integers_INTu_u_NEGu_u_0)).
fof(53, axiom,![X1]:![X2]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X2))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))),file('i/f/integer/INT__LT__CALCULATE_c3', ah4s_integers_INTu_u_ADD)).
fof(61, axiom,![X5]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,X5)))=s(t_h4s_integers_int,X5),file('i/f/integer/INT__LT__CALCULATE_c3', ah4s_integers_INTu_u_ADDu_u_LID)).
fof(62, 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/integer/INT__LT__CALCULATE_c3', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(71, axiom,p(s(t_bool,t)),file('i/f/integer/INT__LT__CALCULATE_c3', aHLu_TRUTH)).
fof(74, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)<=>p(s(t_bool,X8))),file('i/f/integer/INT__LT__CALCULATE_c3', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(80, 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/integer/INT__LT__CALCULATE_c3', ah4s_arithmetics_NOTu_u_LESS)).
# SZS output end CNFRefutation
