# 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_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_ltx),s(t_h4s_integers_int,X3)))),file('i/f/DeepSyntax/deep__form__distinct_c4', ch4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c4)).
fof(25, 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_c4', ah4s_DeepSyntaxs_LTx0)).
fof(27, axiom,![X15]:![X27]:![X28]:![X29]:![X30]:![X31]:![X32]:![X33]:![X6]:![X3]: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),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,X15)),X6),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X15)),X33),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X15),X32),s(t_fun(t_bool,X15),X31),s(t_fun(t_h4s_integers_int,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,t_fun(t_h4s_integers_int,X15)),X27)))=s(X15,happ(s(t_fun(t_h4s_integers_int,X15),X29),s(t_h4s_integers_int,X3))),file('i/f/DeepSyntax/deep__form__distinct_c4', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c5)).
fof(31, 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_conjn)=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_typedeepsyntax0),file('i/f/DeepSyntax/deep__form__distinct_c4', ah4s_DeepSyntaxs_Conjn0)).
fof(32, 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_xlt),s(t_h4s_integers_int,X3)))),file('i/f/DeepSyntax/deep__form__distinct_c4', ah4s_DeepSyntaxs_deepu_u_formu_u_distinctu_c3)).
fof(36, axiom,![X15]:![X27]:![X28]:![X29]:![X30]:![X31]:![X32]:![X33]:![X6]:![X1]:![X2]: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_conjn),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,X15)),X6),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X15)),X33),s(t_fun(t_h4s_DeepSyntaxs_deepu_u_form,X15),X32),s(t_fun(t_bool,X15),X31),s(t_fun(t_h4s_integers_int,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,t_fun(t_h4s_integers_int,X15)),X27)))=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)),X6),s(t_h4s_DeepSyntaxs_deepu_u_form,X2))),s(t_h4s_DeepSyntaxs_deepu_u_form,X1))),file('i/f/DeepSyntax/deep__form__distinct_c4', ah4s_DeepSyntaxs_deepu_u_formu_u_caseu_u_defu_c0)).
fof(71, 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_c4', ah4s_DeepSyntaxs_xLT0)).
# SZS output end CNFRefutation
