# 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_eqc(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_eqc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_eqc(s(t_fun(X1,t_fun(X1,t_bool)),X2))),file('i/f/relation/EQC__IDEM', ch4s_relations_EQCu_u_IDEM)).
fof(2, axiom,![X1]:![X2]:s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_eqc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))=s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(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/EQC__IDEM', ah4s_relations_EQCu_u_DEF)).
fof(3, axiom,![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_rc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(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/EQC__IDEM', ah4s_relations_RCu_u_MOVESu_u_OUTu_c0)).
fof(4, axiom,![X1]:![X2]:s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),X2))),file('i/f/relation/EQC__IDEM', ah4s_relations_RCu_u_MOVESu_u_OUTu_c1)).
fof(5, axiom,![X1]:![X2]:s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_rc(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X2))))),file('i/f/relation/EQC__IDEM', ah4s_relations_RCu_u_MOVESu_u_OUTu_c2)).
fof(6, axiom,![X1]:![X2]:s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X2))),file('i/f/relation/EQC__IDEM', ah4s_relations_TCu_u_IDEM)).
fof(7, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_symmetric(s(t_fun(X1,t_fun(X1,t_bool)),X2))))=>p(s(t_bool,h4s_relations_symmetric(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_tc(s(t_fun(X1,t_fun(X1,t_bool)),X2))))))),file('i/f/relation/EQC__IDEM', ah4s_relations_symmetricu_u_TC)).
fof(8, 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/EQC__IDEM', ah4s_relations_SCu_u_SYMMETRIC)).
fof(9, 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/EQC__IDEM', ah4s_relations_symmetricu_u_SCu_u_identity)).
# SZS output end CNFRefutation
