# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),X2))),file('i/f/relation/SC__IDEM', ch4s_relations_SCu_u_IDEM)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/relation/SC__IDEM', aHLu_TRUTH)).
fof(6, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/relation/SC__IDEM', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![X1]:![X2]:p(s(t_bool,h4s_relations_symmetric(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))),file('i/f/relation/SC__IDEM', ah4s_relations_SCu_u_SYMMETRIC)).
fof(8, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_symmetric(s(t_fun(X1,t_fun(X1,t_bool)),X2))))=>s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_sc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))=s(t_fun(X1,t_fun(X1,t_bool)),X2)),file('i/f/relation/SC__IDEM', ah4s_relations_symmetricu_u_SCu_u_identity)).
fof(10, axiom,~(p(s(t_bool,f))),file('i/f/relation/SC__IDEM', aHLu_FALSITY)).
fof(11, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/relation/SC__IDEM', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
