# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_seqs_subseq(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X1))))=>![X2]:![X3]:?[X4]:(p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X1),s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,X3)))))),file('i/f/seq/SEQ__DIRECT', ch4s_seqs_SEQu_u_DIRECT)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/seq/SEQ__DIRECT', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/seq/SEQ__DIRECT', aHLu_FALSITY)).
fof(5, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/seq/SEQ__DIRECT', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(6, axiom,![X6]:![X4]:![X7]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X4))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X6)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6))))),file('i/f/seq/SEQ__DIRECT', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(7, axiom,![X7]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X7)))),file('i/f/seq/SEQ__DIRECT', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(8, axiom,![X4]:![X7]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X4))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X7))))),file('i/f/seq/SEQ__DIRECT', ah4s_arithmetics_LESSu_u_EQu_u_CASES)).
fof(9, axiom,![X1]:(p(s(t_bool,h4s_seqs_subseq(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X1))))=>![X4]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X1),s(t_h4s_nums_num,X4))))))),file('i/f/seq/SEQ__DIRECT', ah4s_seqs_SEQu_u_SUBLE)).
fof(11, axiom,![X4]:![X7]:s(t_bool,h4s_arithmetics_u_3eu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X7)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X4))),file('i/f/seq/SEQ__DIRECT', ah4s_arithmetics_GREATERu_u_EQ)).
fof(12, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f0)),file('i/f/seq/SEQ__DIRECT', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
