# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:~(p(s(t_bool,h4s_realaxs_trealu_u_lt(s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X1),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),X1))))),file('i/f/realax/TREAL__LT__REFL', ch4s_realaxs_TREALu_u_LTu_u_REFL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/realax/TREAL__LT__REFL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/realax/TREAL__LT__REFL', aHLu_FALSITY)).
fof(4, axiom,![X1]:~(p(s(t_bool,h4s_hreals_hrealu_u_lt(s(t_h4s_hreals_hreal,X1),s(t_h4s_hreals_hreal,X1))))),file('i/f/realax/TREAL__LT__REFL', ah4s_realaxs_HREALu_u_LTu_u_REFL)).
fof(5, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/realax/TREAL__LT__REFL', aHLu_BOOLu_CASES)).
fof(6, axiom,![X3]:![X4]:![X5]:![X6]:s(t_bool,h4s_realaxs_trealu_u_lt(s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_pairs_u_2c(s(t_h4s_hreals_hreal,X6),s(t_h4s_hreals_hreal,X4))),s(t_h4s_pairs_prod(t_h4s_hreals_hreal,t_h4s_hreals_hreal),h4s_pairs_u_2c(s(t_h4s_hreals_hreal,X5),s(t_h4s_hreals_hreal,X3)))))=s(t_bool,h4s_hreals_hrealu_u_lt(s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X6),s(t_h4s_hreals_hreal,X3))),s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X5),s(t_h4s_hreals_hreal,X4))))),file('i/f/realax/TREAL__LT__REFL', ah4s_realaxs_trealu_u_lt0)).
fof(7, axiom,![X7]:![X8]:![X1]:s(t_h4s_pairs_prod(X7,X8),h4s_pairs_u_2c(s(X7,h4s_pairs_fst(s(t_h4s_pairs_prod(X7,X8),X1))),s(X8,h4s_pairs_snd(s(t_h4s_pairs_prod(X7,X8),X1)))))=s(t_h4s_pairs_prod(X7,X8),X1),file('i/f/realax/TREAL__LT__REFL', ah4s_pairs_PAIR)).
# SZS output end CNFRefutation
