# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),happ(s(t_fun(t_h4s_realaxs_real,t_fun(t_h4s_nums_num,t_h4s_realaxs_real)),X1),s(t_h4s_realaxs_real,X2))),s(t_h4s_nums_num,X3)))=s(t_h4s_realaxs_real,X2)=>![X2]:p(s(t_bool,h4s_seqs_u_2du_2du_3e(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),happ(s(t_fun(t_h4s_realaxs_real,t_fun(t_h4s_nums_num,t_h4s_realaxs_real)),X1),s(t_h4s_realaxs_real,X2))),s(t_h4s_realaxs_real,X2))))),file('i/f/seq/SEQ__CONST', ch4s_seqs_SEQu_u_CONST)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/seq/SEQ__CONST', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/seq/SEQ__CONST', aHLu_FALSITY)).
fof(8, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/seq/SEQ__CONST', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X13]:![X3]:(p(s(t_bool,h4s_seqs_u_2du_2du_3e(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3),s(t_h4s_realaxs_real,X13))))<=>![X14]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X14))))=>?[X15]:![X16]:(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,happ(s(t_fun(t_h4s_nums_num,t_h4s_realaxs_real),X3),s(t_h4s_nums_num,X16))),s(t_h4s_realaxs_real,X13))))),s(t_h4s_realaxs_real,X14))))))),file('i/f/seq/SEQ__CONST', ah4s_seqs_SEQ)).
fof(12, axiom,![X3]:s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X3)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/seq/SEQ__CONST', ah4s_reals_REALu_u_SUBu_u_REFL)).
fof(13, axiom,s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/seq/SEQ__CONST', ah4s_reals_ABSu_u_0)).
fof(14, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/seq/SEQ__CONST', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
