# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(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_mul(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X1))))))<=>~(s(t_h4s_integers_int,X1)=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__POASQ', ch4s_integers_INTu_u_POASQ)).
fof(6, axiom,![X3]:![X1]:(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X3)))=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,X1)=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,X3)=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__POASQ', ah4s_integers_INTu_u_ENTIRE)).
fof(15, axiom,![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X1),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__POASQ', ah4s_integers_INTu_u_MULu_u_RZERO)).
fof(30, axiom,![X1]:p(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_mul(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X1)))))),file('i/f/integer/INT__POASQ', ah4s_integers_INTu_u_LEu_u_SQUARE)).
fof(35, axiom,![X1]: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,X1)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),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__POASQ', ah4s_integers_INTu_u_NEGu_u_GT0)).
fof(36, axiom,![X1]:(s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))|(p(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,X1))))|p(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,X1)))))))),file('i/f/integer/INT__POASQ', ah4s_integers_INTu_u_LTu_u_NEGTOTAL)).
fof(37, axiom,![X3]:![X1]:(s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X3)))=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,X1)=s(t_h4s_integers_int,X3)),file('i/f/integer/INT__POASQ', ah4s_integers_INTu_u_SUBu_u_0)).
fof(52, axiom,![X3]:![X1]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X3))))=>~(s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,X3))),file('i/f/integer/INT__POASQ', ah4s_integers_INTu_u_LTu_u_IMPu_u_NE)).
fof(54, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__POASQ', aHLu_FALSITY)).
fof(64, axiom,![X8]:(s(t_bool,X8)=s(t_bool,f)<=>~(p(s(t_bool,X8)))),file('i/f/integer/INT__POASQ', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(69, axiom,![X4]:![X3]:![X1]:((p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X3))))&p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X4)))))=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X4))))),file('i/f/integer/INT__POASQ', ah4s_integers_INTu_u_LETu_u_TRANS)).
fof(81, axiom,![X8]:(s(t_bool,X8)=s(t_bool,t)|s(t_bool,X8)=s(t_bool,f)),file('i/f/integer/INT__POASQ', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
