# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(7, axiom,s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_xlt)=s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_u_20u_40indu_u_typedeepsyntax4),file('i/f/DeepSyntax/deep__form__distinct_c22', ah4s_DeepSyntaxs_xLT0)).
fof(8, axiom,s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_ltx)=s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_u_20u_40indu_u_typedeepsyntax5),file('i/f/DeepSyntax/deep__form__distinct_c22', ah4s_DeepSyntaxs_LTx0)).
fof(18, axiom,s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_xdivided)=s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_u_20u_40indu_u_typedeepsyntax7),file('i/f/DeepSyntax/deep__form__distinct_c22', ah4s_DeepSyntaxs_xDivided0)).
fof(48, axiom,![X7]:![X30]:![X31]:![X32]:![X33]:![X34]:![X35]:![X36]:![X4]:![X17]:s(X7,h4s_deepsyntaxs_deepu_u_formu_u_case(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_ltx),s(t_h4s_integers_int,X17))),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X7)),X4),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X7)),X36),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X7),X35),s(t_fun(t_bool,X7),X34),s(t_fun(t_h4s_integers_int,X7),X33),s(t_fun(t_h4s_integers_int,X7),X32),s(t_fun(t_h4s_integers_int,X7),X31),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X7)),X30)))=s(X7,happ(s(t_fun(t_h4s_integers_int,X7),X32),s(t_h4s_integers_int,X17))),file('i/f/DeepSyntax/deep__form__distinct_c22', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c5)).
fof(49, axiom,![X29]:![X17]:(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_ltx),s(t_h4s_integers_int,X17)))=s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_ltx),s(t_h4s_integers_int,X29)))<=>s(t_h4s_integers_int,X17)=s(t_h4s_integers_int,X29)),file('i/f/DeepSyntax/deep__form__distinct_c22', ah4s_DeepSyntaxs_deepu_u_formu_u_11u_c5)).
fof(51, axiom,![X7]:![X30]:![X31]:![X32]:![X33]:![X34]:![X35]:![X36]:![X4]:![X17]:s(X7,h4s_deepsyntaxs_deepu_u_formu_u_case(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_xlt),s(t_h4s_integers_int,X17))),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X7)),X4),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X7)),X36),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X7),X35),s(t_fun(t_bool,X7),X34),s(t_fun(t_h4s_integers_int,X7),X33),s(t_fun(t_h4s_integers_int,X7),X32),s(t_fun(t_h4s_integers_int,X7),X31),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X7)),X30)))=s(X7,happ(s(t_fun(t_h4s_integers_int,X7),X33),s(t_h4s_integers_int,X17))),file('i/f/DeepSyntax/deep__form__distinct_c22', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c4)).
fof(76, axiom,![X41]:![X16]:![X38]:![X15]:(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_xdivided),s(t_h4s_integers_int,X15))),s(t_h4s_integers_int,X16)))=s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_xdivided),s(t_h4s_integers_int,X38))),s(t_h4s_integers_int,X41)))<=>(s(t_h4s_integers_int,X15)=s(t_h4s_integers_int,X38)&s(t_h4s_integers_int,X16)=s(t_h4s_integers_int,X41))),file('i/f/DeepSyntax/deep__form__distinct_c22', ah4s_DeepSyntaxs_deepu_u_formu_u_11u_c7)).
fof(100, axiom,![X42]:![X10]:(s(t_h4s_integers_int,h4s_integers_intu_u_exp(s(t_h4s_integers_int,X42),s(t_h4s_nums_num,X10)))=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,X42)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))&~(s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/DeepSyntax/deep__form__distinct_c22', ah4s_integers_INTu_u_EXPu_u_EQ0)).
fof(129, axiom,![X42]:s(t_h4s_integers_int,h4s_integers_intu_u_exp(s(t_h4s_integers_int,X42),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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/DeepSyntax/deep__form__distinct_c22', ah4s_integers_intu_u_exp0u_c0)).
fof(133, conjecture,![X29]:![X17]:~(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_xlt),s(t_h4s_integers_int,X17)))=s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_ltx),s(t_h4s_integers_int,X29)))),file('i/f/DeepSyntax/deep__form__distinct_c22', ch4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c22)).
# SZS output end CNFRefutation
