# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,X1))))=>(s(t_h4s_integers_int,X3)=s(t_h4s_integers_int,X2)<=>s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X3),s(t_h4s_integers_int,X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1))))),file('i/f/intExtension/INT__EQ__RMUL__EXP', ch4s_intExtensions_INTu_u_EQu_u_RMULu_u_EXP)).
fof(38, axiom,![X23]:![X18]:![X8]:(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X23)))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X18),s(t_h4s_integers_int,X23)))<=>(s(t_h4s_integers_int,X23)=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))|s(t_h4s_integers_int,X8)=s(t_h4s_integers_int,X18))),file('i/f/intExtension/INT__EQ__RMUL__EXP', ah4s_integers_INTu_u_EQu_u_RMUL)).
fof(45, axiom,![X8]:~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X8),s(t_h4s_integers_int,X8))))),file('i/f/intExtension/INT__EQ__RMUL__EXP', ah4s_integers_INTu_u_LTu_u_REFL)).
fof(51, axiom,~(p(s(t_bool,f))),file('i/f/intExtension/INT__EQ__RMUL__EXP', aHLu_FALSITY)).
fof(61, axiom,![X11]:(s(t_bool,X11)=s(t_bool,f)<=>~(p(s(t_bool,X11)))),file('i/f/intExtension/INT__EQ__RMUL__EXP', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(77, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)|s(t_bool,X11)=s(t_bool,f)),file('i/f/intExtension/INT__EQ__RMUL__EXP', aHLu_BOOLu_CASES)).
fof(78, axiom,(~(p(s(t_bool,t)))<=>p(s(t_bool,f))),file('i/f/intExtension/INT__EQ__RMUL__EXP', ah4s_bools_NOTu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
