# 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)))))<=>p(s(t_bool,h4s_sums_isr(s(t_h4s_sums_sum(X1,X2),X3))))),file('i/f/sum/NOT__ISL__ISR', ch4s_sums_NOTu_u_ISLu_u_ISR)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/sum/NOT__ISL__ISR', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(27, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_sums_isl(s(t_h4s_sums_sum(X1,X2),X3))))|p(s(t_bool,h4s_sums_isr(s(t_h4s_sums_sum(X1,X2),X3))))),file('i/f/sum/NOT__ISL__ISR', ah4s_sums_ISLu_u_ORu_u_ISR)).
fof(28, axiom,![X2]:![X1]:![X11]:~(p(s(t_bool,h4s_sums_isr(s(t_h4s_sums_sum(X1,X2),happ(s(t_fun(X1,t_h4s_sums_sum(X1,X2)),h4s_sums_inl),s(X1,X11))))))),file('i/f/sum/NOT__ISL__ISR', ah4s_sums_ISR0u_c1)).
fof(30, axiom,![X1]:![X2]:![X11]:~(p(s(t_bool,h4s_sums_isl(s(t_h4s_sums_sum(X1,X2),happ(s(t_fun(X2,t_h4s_sums_sum(X1,X2)),h4s_sums_inr),s(X2,X11))))))),file('i/f/sum/NOT__ISL__ISR', ah4s_sums_ISL0u_c1)).
fof(37, axiom,![X1]:![X2]:![X25]:(?[X3]:s(t_h4s_sums_sum(X1,X2),X25)=s(t_h4s_sums_sum(X1,X2),happ(s(t_fun(X1,t_h4s_sums_sum(X1,X2)),h4s_sums_inl),s(X1,X3)))|?[X11]:s(t_h4s_sums_sum(X1,X2),X25)=s(t_h4s_sums_sum(X1,X2),happ(s(t_fun(X2,t_h4s_sums_sum(X1,X2)),h4s_sums_inr),s(X2,X11)))),file('i/f/sum/NOT__ISL__ISR', ah4s_sums_sumu_u_CASES)).
# SZS output end CNFRefutation
