# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_sums_isl(s(t_h4s_sums_sum(X1,X2),X3))))=>s(t_h4s_sums_sum(X1,X2),h4s_sums_inl(s(X1,h4s_sums_outl(s(t_h4s_sums_sum(X1,X2),X3)))))=s(t_h4s_sums_sum(X1,X2),X3)),file('i/f/sum/INL0', ch4s_sums_INL0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/sum/INL0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/sum/INL0', aHLu_FALSITY)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/sum/INL0', aHLu_BOOLu_CASES)).
fof(11, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/sum/INL0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X1]:![X2]:![X7]:(?[X3]:s(t_h4s_sums_sum(X1,X2),X7)=s(t_h4s_sums_sum(X1,X2),h4s_sums_inl(s(X1,X3)))|?[X8]:s(t_h4s_sums_sum(X1,X2),X7)=s(t_h4s_sums_sum(X1,X2),h4s_sums_inr(s(X2,X8)))),file('i/f/sum/INL0', ah4s_sums_sumu_u_CASES)).
fof(14, axiom,![X1]:![X2]:![X8]:~(p(s(t_bool,h4s_sums_isl(s(t_h4s_sums_sum(X1,X2),h4s_sums_inr(s(X2,X8))))))),file('i/f/sum/INL0', ah4s_sums_ISL0u_c1)).
fof(15, axiom,![X2]:![X1]:![X3]:s(X1,h4s_sums_outl(s(t_h4s_sums_sum(X1,X2),h4s_sums_inl(s(X1,X3)))))=s(X1,X3),file('i/f/sum/INL0', ah4s_sums_OUTL0)).
# SZS output end CNFRefutation
