# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:~(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,X4))),s(t_h4s_DeepSyntaxs_deepu_u_form,X2)))=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,X3))),s(t_h4s_integers_int,X1)))),file('i/f/DeepSyntax/deep__form__distinct_c12', ch4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c12)).
fof(15, axiom,![X1]:![X2]:![X3]:![X4]:~(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,X4))),s(t_h4s_DeepSyntaxs_deepu_u_form,X2)))=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,X3))),s(t_h4s_DeepSyntaxs_deepu_u_form,X1)))),file('i/f/DeepSyntax/deep__form__distinct_c12', ah4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c0)).
fof(19, 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_c12', ah4s_DeepSyntaxs_xDivided0)).
fof(23, axiom,![X15]:![X26]:![X27]:![X28]:![X29]:![X30]:![X31]:![X32]:![X7]:![X2]:![X4]:s(X15,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),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,X4))),s(t_h4s_integers_int,X2))),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X15)),X7),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X15)),X32),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X15),X31),s(t_fun(t_bool,X15),X30),s(t_fun(t_h4s_integers_int,X15),X29),s(t_fun(t_h4s_integers_int,X15),X28),s(t_fun(t_h4s_integers_int,X15),X27),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X15)),X26)))=s(X15,happ(s(t_fun(t_h4s_integers_int,X15),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X15)),X26),s(t_h4s_integers_int,X4))),s(t_h4s_integers_int,X2))),file('i/f/DeepSyntax/deep__form__distinct_c12', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c7)).
fof(30, axiom,![X15]:![X26]:![X27]:![X28]:![X29]:![X30]:![X31]:![X32]:![X7]:![X2]:![X4]:s(X15,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,X4))),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X15)),X7),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X15)),X32),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X15),X31),s(t_fun(t_bool,X15),X30),s(t_fun(t_h4s_integers_int,X15),X29),s(t_fun(t_h4s_integers_int,X15),X28),s(t_fun(t_h4s_integers_int,X15),X27),s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,X15)),X26)))=s(X15,happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X15),happ(s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X15)),X32),s(t_h4s_DeepSyntaxs_deepu_u_form,X4))),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))),file('i/f/DeepSyntax/deep__form__distinct_c12', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c1)).
# SZS output end CNFRefutation
