# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_le(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_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))))))=>(p(s(t_bool,h4s_integers_intu_u_le(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_add(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X2))),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_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))))),file('i/f/int_arith/le__context__rwt5', ch4s_intu_u_ariths_leu_u_contextu_u_rwt5)).
fof(3, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/int_arith/le__context__rwt5', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(4, axiom,![X4]:![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X4)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X1))),file('i/f/int_arith/le__context__rwt5', ah4s_integers_INTu_u_ADDu_u_COMM)).
fof(30, axiom,![X4]:![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_le(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_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))))))=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X4))))=>(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_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X4)))<=>p(s(t_bool,f))))),file('i/f/int_arith/le__context__rwt5', ah4s_intu_u_ariths_leu_u_contextu_u_rwt3)).
fof(32, axiom,![X4]:![X1]:![X2]:(p(s(t_bool,h4s_integers_intu_u_le(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_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))))))=>(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X4))))=>s(t_bool,h4s_integers_intu_u_le(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_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X4)))))=s(t_bool,t))),file('i/f/int_arith/le__context__rwt5', ah4s_intu_u_ariths_leu_u_contextu_u_rwt1)).
fof(34, axiom,![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_add(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_h4s_integers_int,X1),file('i/f/int_arith/le__context__rwt5', ah4s_integers_INTu_u_ADDu_u_RID)).
fof(36, axiom,![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_add(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/int_arith/le__context__rwt5', ah4s_integers_INTu_u_ADDu_u_LINV)).
fof(42, axiom,![X4]:![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X4)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X4))))),file('i/f/int_arith/le__context__rwt5', ah4s_integers_intu_u_sub0)).
fof(47, axiom,![X4]:![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1))),s(t_h4s_integers_int,X4)))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X4))))),file('i/f/int_arith/le__context__rwt5', ah4s_integers_INTu_u_SUBu_u_LNEG)).
fof(49, axiom,![X4]:![X1]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X4)))))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X4))),file('i/f/int_arith/le__context__rwt5', ah4s_integers_INTu_u_ADDu_u_SUB2)).
fof(50, axiom,![X15]:![X4]:![X1]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X4))),s(t_h4s_integers_int,X15)))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X15),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X1))))))),file('i/f/int_arith/le__context__rwt5', ah4s_intu_u_ariths_ltu_u_moveu_u_leftu_u_right)).
fof(53, axiom,![X4]:![X1]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X4)))))=s(t_bool,h4s_integers_intu_u_le(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,X4))),file('i/f/int_arith/le__context__rwt5', ah4s_integers_INTu_u_LEu_u_ADDR)).
fof(61, axiom,![X4]:![X1]:(~(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X4)))))<=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X4),s(t_h4s_integers_int,X1))))),file('i/f/int_arith/le__context__rwt5', ah4s_integers_INTu_u_NOTu_u_LE)).
fof(62, 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/int_arith/le__context__rwt5', ah4s_integers_INTu_u_NEGNEG)).
fof(64, axiom,![X1]:~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X1))))),file('i/f/int_arith/le__context__rwt5', ah4s_integers_INTu_u_LTu_u_REFL)).
fof(65, 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/int_arith/le__context__rwt5', ah4s_integers_INTu_u_NEGu_u_0)).
fof(71, axiom,![X4]:![X1]:(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X4))))<=>(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X1),s(t_h4s_integers_int,X4))))|s(t_h4s_integers_int,X1)=s(t_h4s_integers_int,X4))),file('i/f/int_arith/le__context__rwt5', ah4s_integers_INTu_u_LEu_u_LT)).
fof(72, axiom,![X17]:![X18]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X18))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X17)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X17))),file('i/f/int_arith/le__context__rwt5', ah4s_integers_INTu_u_LE)).
fof(77, axiom,~(p(s(t_bool,f))),file('i/f/int_arith/le__context__rwt5', aHLu_FALSITY)).
fof(79, axiom,![X8]:(s(t_bool,X8)=s(t_bool,f)<=>~(p(s(t_bool,X8)))),file('i/f/int_arith/le__context__rwt5', ah4s_bools_EQu_u_CLAUSESu_c3)).
# SZS output end CNFRefutation
