# 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,X4)))&(p(s(t_bool,X1))=>p(s(t_bool,X2))))=>(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,X4),s(t_bool,X2)))))),file('i/f/ConseqConv/IMP__CONG__cond__simple', ch4s_ConseqConvs_IMPu_u_CONGu_u_condu_u_simple)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/ConseqConv/IMP__CONG__cond__simple', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/ConseqConv/IMP__CONG__cond__simple', aHLu_FALSITY)).
fof(11, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/ConseqConv/IMP__CONG__cond__simple', aHLu_BOOLu_CASES)).
fof(12, axiom,![X7]:![X8]:![X9]:s(X7,h4s_bools_cond(s(t_bool,t),s(X7,X9),s(X7,X8)))=s(X7,X9),file('i/f/ConseqConv/IMP__CONG__cond__simple', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(13, axiom,![X7]:![X8]:![X9]:s(X7,h4s_bools_cond(s(t_bool,f),s(X7,X9),s(X7,X8)))=s(X7,X8),file('i/f/ConseqConv/IMP__CONG__cond__simple', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
