# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(((p(s(t_bool,f))|p(s(t_bool,X2)))<=>(p(s(t_bool,f))|p(s(t_bool,X1))))=>s(t_bool,X2)=s(t_bool,X1)),file('i/f/HolSmt/F__OR', ch4s_HolSmts_Fu_u_OR)).
fof(2, 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/F__OR', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(30, axiom,~(p(s(t_bool,f))),file('i/f/HolSmt/F__OR', aHLu_FALSITY)).
fof(31, axiom,(p(s(t_bool,f))<=>![X10]:p(s(t_bool,X10))),file('i/f/HolSmt/F__OR', ah4s_bools_Fu_u_DEF)).
fof(36, axiom,![X10]:(s(t_bool,f)=s(t_bool,X10)<=>~(p(s(t_bool,X10)))),file('i/f/HolSmt/F__OR', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(54, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)<=>p(s(t_bool,X10))),file('i/f/HolSmt/F__OR', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
