# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_arithmetics_absu_u_diff(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X1),file('i/f/arithmetic/ABS__DIFF__ZERO_c1', ch4s_arithmetics_ABSu_u_DIFFu_u_ZEROu_c1)).
fof(25, axiom,![X1]:(~(s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1))))),file('i/f/arithmetic/ABS__DIFF__ZERO_c1', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(26, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/ABS__DIFF__ZERO_c1', ah4s_arithmetics_SUBu_u_0u_c0)).
fof(27, axiom,![X14]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X14),file('i/f/arithmetic/ABS__DIFF__ZERO_c1', ah4s_arithmetics_SUBu_u_0u_c1)).
fof(28, axiom,![X1]:![X14]:s(t_h4s_nums_num,h4s_arithmetics_absu_u_diff(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X14))))),file('i/f/arithmetic/ABS__DIFF__ZERO_c1', ah4s_arithmetics_ABSu_u_DIFFu_u_def)).
fof(29, axiom,p(s(t_bool,t)),file('i/f/arithmetic/ABS__DIFF__ZERO_c1', aHLu_TRUTH)).
fof(32, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/arithmetic/ABS__DIFF__ZERO_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(33, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/arithmetic/ABS__DIFF__ZERO_c1', aHLu_BOOLu_CASES)).
fof(34, axiom,![X5]:![X2]:![X3]:s(X5,h4s_bools_cond(s(t_bool,f),s(X5,X3),s(X5,X2)))=s(X5,X2),file('i/f/arithmetic/ABS__DIFF__ZERO_c1', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(35, axiom,![X5]:![X2]:![X3]:s(X5,h4s_bools_cond(s(t_bool,t),s(X5,X3),s(X5,X2)))=s(X5,X3),file('i/f/arithmetic/ABS__DIFF__ZERO_c1', ah4s_bools_CONDu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
