# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:~(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_disjn),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))),s(t_h4s_DeepSyntaxs_deepu_u_form,X1)))=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,X3)))),file('i/f/DeepSyntax/deep__form__distinct_c10', ch4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c10)).
fof(26, 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_c10', ah4s_DeepSyntaxs_LTx0)).
fof(30, axiom,![X12]:![X28]:![X29]:![X30]:![X31]:![X32]:![X33]:![X34]:![X6]:![X3]:s(X12,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,X3))),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12)),X6),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12)),X34),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12),X33),s(t_fun(t_bool,X12),X32),s(t_fun(t_h4s_integers_int,X12),X31),s(t_fun(t_h4s_integers_int,X12),X30),s(t_fun(t_h4s_integers_int,X12),X29),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X12)),X28)))=s(X12,happ(s(t_fun(t_h4s_integers_int,X12),X30),s(t_h4s_integers_int,X3))),file('i/f/DeepSyntax/deep__form__distinct_c10', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c5)).
fof(32, axiom,s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_disjn)=s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_u_20u_40indu_u_typedeepsyntax1),file('i/f/DeepSyntax/deep__form__distinct_c10', ah4s_DeepSyntaxs_Disjn0)).
fof(37, axiom,![X12]:![X28]:![X29]:![X30]:![X31]:![X32]:![X33]:![X34]:![X6]:![X1]:![X2]:s(X12,h4s_deepsyntaxs_deepu_u_formu_u_case(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_disjn),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))),s(t_h4s_DeepSyntaxs_deepu_u_form,X1))),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12)),X6),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12)),X34),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12),X33),s(t_fun(t_bool,X12),X32),s(t_fun(t_h4s_integers_int,X12),X31),s(t_fun(t_h4s_integers_int,X12),X30),s(t_fun(t_h4s_integers_int,X12),X29),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X12)),X28)))=s(X12,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12),happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X12)),X34),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))),s(t_h4s_DeepSyntaxs_deepu_u_form,X1))),file('i/f/DeepSyntax/deep__form__distinct_c10', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c1)).
fof(62, axiom,![X1]:![X2]:![X3]:~(s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form),happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_h4s_DeepSyntaxs_deepu_u_form)),h4s_deepsyntaxs_conjn),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))),s(t_h4s_DeepSyntaxs_deepu_u_form,X1)))=s(t_h4s_DeepSyntaxs_deepu_u_form,happ(s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_xeq),s(t_h4s_integers_int,X3)))),file('i/f/DeepSyntax/deep__form__distinct_c10', ah4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c5)).
fof(75, axiom,s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_xeq)=s(t_fun(t_h4s_integers_int,t_h4s_DeepSyntaxs_deepu_u_form),h4s_deepsyntaxs_u_20u_40indu_u_typedeepsyntax6),file('i/f/DeepSyntax/deep__form__distinct_c10', ah4s_DeepSyntaxs_xEQ0)).
# SZS output end CNFRefutation
