# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),X1),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))))))=>![X4]:![X3]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),X1),s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,X3)))))),file('i/f/util_prob/TRIANGLE__2D__NUM', ch4s_utilu_u_probs_TRIANGLEu_u_2Du_u_NUM)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/util_prob/TRIANGLE__2D__NUM', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/util_prob/TRIANGLE__2D__NUM', aHLu_FALSITY)).
fof(19, axiom,![X7]:(s(t_bool,X7)=s(t_bool,f)<=>~(p(s(t_bool,X7)))),file('i/f/util_prob/TRIANGLE__2D__NUM', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(39, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/util_prob/TRIANGLE__2D__NUM', aHLu_BOOLu_CASES)).
fof(43, axiom,![X3]:![X4]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X4))),file('i/f/util_prob/TRIANGLE__2D__NUM', ah4s_arithmetics_ADDu_u_COMM)).
fof(44, axiom,![X3]:![X4]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3))))<=>?[X19]:s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X19)))),file('i/f/util_prob/TRIANGLE__2D__NUM', ah4s_arithmetics_LESSu_u_EQu_u_EXISTS)).
# SZS output end CNFRefutation
