# 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_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__LT__NEGTOTAL', ch4s_integers_INTu_u_LTu_u_NEGTOTAL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/integer/INT__LT__NEGTOTAL', aHLu_TRUTH)).
fof(9, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/integer/INT__LT__NEGTOTAL', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X3]:![X7]:![X8]:![X9]:![X10]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X3,t_fun(X3,t_bool)),X10),s(t_fun(X3,X7),X9),s(t_fun(X7,X3),X8))))=>![X1]:![X11]:(s(X7,X1)=s(X7,X11)<=>p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X3,t_fun(X3,t_bool)),X10),s(X3,happ(s(t_fun(X7,X3),X8),s(X7,X1))))),s(X3,happ(s(t_fun(X7,X3),X8),s(X7,X11)))))))),file('i/f/integer/INT__LT__NEGTOTAL', ah4s_quotients_EQUALSu_u_PRS)).
fof(16, 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__LT__NEGTOTAL', ah4s_integers_intu_u_lt0)).
fof(17, axiom,![X1]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_neg(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_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))),file('i/f/integer/INT__LT__NEGTOTAL', ah4s_integers_INTu_u_NEGu_u_LT0)).
fof(18, axiom,![X1]: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,X1)))))=s(t_h4s_integers_int,X1),file('i/f/integer/INT__LT__NEGTOTAL', ah4s_integers_INTu_u_NEGNEG)).
fof(19, axiom,p(s(t_bool,h4s_quotients_quotient(s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool)),h4s_integers_tintu_u_eq),s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_h4s_integers_int),h4s_integers_intu_u_abs),s(t_fun(t_h4s_integers_int,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_integers_intu_u_rep)))),file('i/f/integer/INT__LT__NEGTOTAL', ah4s_integers_intu_u_QUOTIENT)).
fof(21, axiom,![X11]:![X1]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool)),h4s_integers_tintu_u_eq),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X11))))|(p(s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X11))))|p(s(t_bool,h4s_integers_tintu_u_lt(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X11),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X1)))))),file('i/f/integer/INT__LT__NEGTOTAL', ah4s_integers_TINTu_u_LTu_u_TOTAL)).
fof(23, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/integer/INT__LT__NEGTOTAL', aHLu_BOOLu_CASES)).
fof(32, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__LT__NEGTOTAL', aHLu_FALSITY)).
# SZS output end CNFRefutation
