# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:((s(t_bool,X7)=s(t_bool,X6)&((p(s(t_bool,X6))=>s(X1,X5)=s(X1,X4))&(~(p(s(t_bool,X6)))=>s(X1,X3)=s(X1,X2))))=>s(X1,h4s_bools_cond(s(t_bool,X7),s(X1,X5),s(X1,X3)))=s(X1,h4s_bools_cond(s(t_bool,X6),s(X1,X4),s(X1,X2)))),file('i/f/bool/bool__case__CONG', ch4s_bools_boolu_u_caseu_u_CONG)).
fof(3, axiom,![X12]:![X13]:((p(s(t_bool,X13))=>p(s(t_bool,X12)))=>((p(s(t_bool,X12))=>p(s(t_bool,X13)))=>s(t_bool,X13)=s(t_bool,X12))),file('i/f/bool/bool__case__CONG', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(69, axiom,![X12]:![X13]:![X29]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X29),s(t_bool,X13),s(t_bool,X12))))<=>((p(s(t_bool,X29))=>p(s(t_bool,X13)))&(~(p(s(t_bool,X29)))=>p(s(t_bool,X12))))),file('i/f/bool/bool__case__CONG', ah4s_bools_CONDu_u_EXPANDu_u_IMP)).
fof(73, axiom,![X1]:![X12]:![X13]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X13),s(X1,X12)))=s(X1,X13),file('i/f/bool/bool__case__CONG', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(75, axiom,![X1]:![X12]:![X13]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X13),s(X1,X12)))=s(X1,X12),file('i/f/bool/bool__case__CONG', ah4s_bools_boolu_u_caseu_u_thmu_c1)).
fof(80, axiom,~(p(s(t_bool,f))),file('i/f/bool/bool__case__CONG', aHLu_FALSITY)).
fof(81, axiom,(p(s(t_bool,f))<=>![X14]:p(s(t_bool,X14))),file('i/f/bool/bool__case__CONG', ah4s_bools_Fu_u_DEF)).
# SZS output end CNFRefutation
