# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/integer/INT__LT__MONO', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/integer/INT__LT__MONO', aHLu_FALSITY)).
fof(6, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/integer/INT__LT__MONO', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(13, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/integer/INT__LT__MONO', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(28, axiom,![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_add(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,X6)))=s(t_h4s_integers_int,X6),file('i/f/integer/INT__LT__MONO', ah4s_integers_INTu_u_ADDu_u_LID)).
fof(29, axiom,![X11]:![X6]:~((p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X11))))&p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X6)))))),file('i/f/integer/INT__LT__MONO', ah4s_integers_INTu_u_LTu_u_ANTISYM)).
fof(30, axiom,![X20]:![X11]:![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X20)))))=s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X11))),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X20))))),file('i/f/integer/INT__LT__MONO', ah4s_integers_INTu_u_SUBu_u_LDISTRIB)).
fof(31, axiom,![X20]:![X11]:![X6]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X20)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X20))),s(t_h4s_integers_int,X11))),file('i/f/integer/INT__LT__MONO', ah4s_integers_INTu_u_LTu_u_SUBu_u_LADD)).
fof(32, axiom,![X18]:![X19]:(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,X19),s(t_h4s_integers_int,X18))))))<=>((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,X19))))&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,X18)))))|(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X19),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,X18),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__LT__MONO', ah4s_integers_INTu_u_MULu_u_SIGNu_u_CASESu_c0)).
fof(34, conjecture,![X20]:![X11]:![X6]:(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,X6))))=>s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X11))),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X20)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X11),s(t_h4s_integers_int,X20)))),file('i/f/integer/INT__LT__MONO', ch4s_integers_INTu_u_LTu_u_MONO)).
# SZS output end CNFRefutation
