# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,h4s_integers_intu_u_neg(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__NEG__SAME__EQ', ch4s_integers_INTu_u_NEGu_u_SAMEu_u_EQ)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__NEG__SAME__EQ', aHLu_FALSITY)).
fof(33, axiom,![X7]: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,X7)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X7),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__NEG__SAME__EQ', ah4s_integers_INTu_u_NEGu_u_GT0)).
fof(34, axiom,![X7]:(s(t_h4s_integers_int,X7)=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,X7))))|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,X7)))))))),file('i/f/integer/INT__NEG__SAME__EQ', ah4s_integers_INTu_u_LTu_u_NEGTOTAL)).
fof(35, 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__NEG__SAME__EQ', ah4s_integers_INTu_u_NEGu_u_0)).
fof(37, axiom,![X7]:~(p(s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X7),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X7))))),file('i/f/integer/INT__NEG__SAME__EQ', ah4s_integers_TINTu_u_LTu_u_REFL)).
fof(38, axiom,![X16]:![X6]:![X7]:((p(s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X7),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X6))))&p(s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X6),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X16)))))=>p(s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X7),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X16))))),file('i/f/integer/INT__NEG__SAME__EQ', ah4s_integers_TINTu_u_LTu_u_TRANS)).
fof(40, axiom,![X21]:![X22]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X22),s(t_h4s_integers_int,X21)))=s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_integers_int,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_integers_intu_u_rep),s(t_h4s_integers_int,X22))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_integers_int,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_integers_intu_u_rep),s(t_h4s_integers_int,X21))))),file('i/f/integer/INT__NEG__SAME__EQ', ah4s_integers_intu_u_lt0)).
fof(41, axiom,p(s(t_bool,t)),file('i/f/integer/INT__NEG__SAME__EQ', aHLu_TRUTH)).
fof(50, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/integer/INT__NEG__SAME__EQ', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(51, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/integer/INT__NEG__SAME__EQ', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
