# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,X3))=>p(s(t_bool,X2)))=>((p(s(t_bool,X1))=>p(s(t_bool,X4)))=>(p(s(t_bool,h4s_bools_cond(s(t_bool,X5),s(t_bool,X3),s(t_bool,X1))))=>p(s(t_bool,h4s_bools_cond(s(t_bool,X5),s(t_bool,X2),s(t_bool,X4))))))),file('i/f/bool/MONO__COND', ch4s_bools_MONOu_u_COND)).
fof(2, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/bool/MONO__COND', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(71, axiom,![X6]:![X7]:![X5]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X5),s(t_bool,X7),s(t_bool,X6))))<=>((~(p(s(t_bool,X5)))|p(s(t_bool,X7)))&(p(s(t_bool,X5))|p(s(t_bool,X6))))),file('i/f/bool/MONO__COND', ah4s_bools_CONDu_u_EXPAND)).
fof(72, axiom,![X6]:![X7]:![X5]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X5),s(t_bool,X7),s(t_bool,X6))))<=>((p(s(t_bool,X5))&p(s(t_bool,X7)))|(~(p(s(t_bool,X5)))&p(s(t_bool,X6))))),file('i/f/bool/MONO__COND', ah4s_bools_CONDu_u_EXPANDu_u_OR)).
fof(77, axiom,![X9]:![X8]:![X5]:s(X9,h4s_bools_cond(s(t_bool,X5),s(X9,X8),s(X9,X8)))=s(X9,X8),file('i/f/bool/MONO__COND', ah4s_bools_CONDu_u_ID)).
fof(80, axiom,![X9]:![X6]:![X7]:s(X9,h4s_bools_cond(s(t_bool,t),s(X9,X7),s(X9,X6)))=s(X9,X7),file('i/f/bool/MONO__COND', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(81, axiom,~(p(s(t_bool,f))),file('i/f/bool/MONO__COND', aHLu_FALSITY)).
# SZS output end CNFRefutation
