# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(~(p(s(t_bool,h4s_sums_isr(s(t_h4s_sums_sum(X1,X2),X3)))))<=>p(s(t_bool,h4s_sums_isl(s(t_h4s_sums_sum(X1,X2),X3))))),file('i/f/sum/NOT__ISR__ISL', ch4s_sums_NOTu_u_ISRu_u_ISL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/sum/NOT__ISR__ISL', aHLu_TRUTH)).
fof(9, axiom,![X6]:(s(t_bool,t)=s(t_bool,X6)<=>p(s(t_bool,X6))),file('i/f/sum/NOT__ISR__ISL', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(11, axiom,![X6]:(s(t_bool,f)=s(t_bool,X6)<=>~(p(s(t_bool,X6)))),file('i/f/sum/NOT__ISR__ISL', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(12, axiom,![X2]:![X1]:![X3]:p(s(t_bool,h4s_sums_isl(s(t_h4s_sums_sum(X1,X2),h4s_sums_inl(s(X1,X3)))))),file('i/f/sum/NOT__ISR__ISL', ah4s_sums_ISL0u_c0)).
fof(13, axiom,![X1]:![X2]:![X7]:~(p(s(t_bool,h4s_sums_isl(s(t_h4s_sums_sum(X1,X2),h4s_sums_inr(s(X2,X7))))))),file('i/f/sum/NOT__ISR__ISL', ah4s_sums_ISL0u_c1)).
fof(14, axiom,![X1]:![X2]:![X3]:p(s(t_bool,h4s_sums_isr(s(t_h4s_sums_sum(X1,X2),h4s_sums_inr(s(X2,X3)))))),file('i/f/sum/NOT__ISR__ISL', ah4s_sums_ISR0u_c0)).
fof(15, axiom,![X2]:![X1]:![X7]:~(p(s(t_bool,h4s_sums_isr(s(t_h4s_sums_sum(X1,X2),h4s_sums_inl(s(X1,X7))))))),file('i/f/sum/NOT__ISR__ISL', ah4s_sums_ISR0u_c1)).
fof(16, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/sum/NOT__ISR__ISL', aHLu_BOOLu_CASES)).
fof(17, axiom,![X1]:![X2]:![X8]:(?[X3]:s(t_h4s_sums_sum(X1,X2),X8)=s(t_h4s_sums_sum(X1,X2),h4s_sums_inl(s(X1,X3)))|?[X7]:s(t_h4s_sums_sum(X1,X2),X8)=s(t_h4s_sums_sum(X1,X2),h4s_sums_inr(s(X2,X7)))),file('i/f/sum/NOT__ISR__ISL', ah4s_sums_sumu_u_CASES)).
# SZS output end CNFRefutation
