# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(((p(s(t_bool,t))&p(s(t_bool,X2)))<=>(p(s(t_bool,t))&p(s(t_bool,X1))))=>s(t_bool,X2)=s(t_bool,X1)),file('i/f/HolSmt/T__AND', ch4s_HolSmts_Tu_u_AND)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/HolSmt/T__AND', aHLu_TRUTH)).
fof(3, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/HolSmt/T__AND', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(11, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/HolSmt/T__AND', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(42, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/T__AND', aHLu_FALSITY)).
fof(45, axiom,(p(s(t_bool,f))<=>![X7]:p(s(t_bool,X7))),file('i/f/HolSmt/T__AND', ah4s_bools_Fu_u_DEF)).
fof(52, axiom,![X7]:(s(t_bool,f)=s(t_bool,X7)<=>~(p(s(t_bool,X7)))),file('i/f/HolSmt/T__AND', ah4s_bools_EQu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
