# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(5, axiom,![X7]:![X8]:s(t_h4s_nums_num,h4s_arithmetics_absu_u_diff(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X8))))),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ah4s_arithmetics_ABSu_u_DIFFu_u_def)).
fof(8, axiom,![X7]:![X8]:s(t_h4s_nums_num,h4s_arithmetics_absu_u_diff(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_arithmetics_absu_u_diff(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ah4s_arithmetics_ABSu_u_DIFFu_u_SYM)).
fof(38, axiom,![X9]:![X12]:![X13]:s(X9,h4s_bools_cond(s(t_bool,f),s(X9,X13),s(X9,X12)))=s(X9,X12),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(43, axiom,![X7]:![X8]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_nums_0)<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))))),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ah4s_arithmetics_SUBu_u_EQu_u_0)).
fof(53, axiom,![X7]:![X8]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X8))))=>s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,X8)),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ah4s_arithmetics_SUBu_u_ADD)).
fof(57, axiom,![X7]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X7)))),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(63, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,X8),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(83, axiom,![X7]:![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X8))),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ah4s_arithmetics_ADDu_u_COMM)).
fof(92, axiom,s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ah4s_primu_u_recs_PRE0u_c0)).
fof(98, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(111, axiom,![X7]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(133, conjecture,![X7]:s(t_h4s_nums_num,h4s_arithmetics_absu_u_diff(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X7),file('i/f/arithmetic/ABS__DIFF__ZERO_c0', ch4s_arithmetics_ABSu_u_DIFFu_u_ZEROu_c0)).
# SZS output end CNFRefutation
