# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![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_neg(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__EQ__CALCULATE_c2', ch4s_integers_INTu_u_EQu_u_CALCULATEu_c2)).
fof(32, 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__EQ__CALCULATE_c2', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(40, 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__EQ__CALCULATE_c2', ah4s_integers_INTu_u_NEGu_u_0)).
fof(44, axiom,![X5]:s(t_bool,h4s_integers_intu_u_le(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_le(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__EQ__CALCULATE_c2', ah4s_integers_INTu_u_NEGu_u_GE0)).
fof(45, 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/integer/INT__EQ__CALCULATE_c2', ah4s_arithmetics_LESSu_u_EQu_u_0)).
fof(52, axiom,![X1]:![X2]:(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_nums_num,X2)=s(t_h4s_nums_num,X1)),file('i/f/integer/INT__EQ__CALCULATE_c2', ah4s_integers_INTu_u_INJ)).
fof(58, axiom,![X5]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X5)))))=s(t_h4s_integers_int,X5),file('i/f/integer/INT__EQ__CALCULATE_c2', ah4s_integers_INTu_u_NEGNEG)).
fof(62, axiom,![X6]:![X5]:(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X5)))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X6)))<=>s(t_h4s_integers_int,X5)=s(t_h4s_integers_int,X6)),file('i/f/integer/INT__EQ__CALCULATE_c2', ah4s_integers_INTu_u_EQu_u_NEG)).
fof(67, axiom,![X1]:![X2]:s(t_bool,h4s_integers_intu_u_le(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_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/integer/INT__EQ__CALCULATE_c2', ah4s_integers_INTu_u_LE)).
fof(69, axiom,p(s(t_bool,t)),file('i/f/integer/INT__EQ__CALCULATE_c2', aHLu_TRUTH)).
fof(73, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/integer/INT__EQ__CALCULATE_c2', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
