# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X2))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))))=>s(t_h4s_nums_num,h4s_logroots_log(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=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,X2))),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_logroots_log(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2)))))))))),file('i/f/logroot/LOG__RWT', ch4s_logroots_LOGu_u_RWT)).
fof(3, axiom,![X3]:![X6]:![X7]:s(X3,h4s_bools_cond(s(t_bool,t),s(X3,X7),s(X3,X6)))=s(X3,X7),file('i/f/logroot/LOG__RWT', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(4, axiom,![X3]:![X6]:![X7]:s(X3,h4s_bools_cond(s(t_bool,f),s(X3,X7),s(X3,X6)))=s(X3,X6),file('i/f/logroot/LOG__RWT', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(6, axiom,s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/logroot/LOG__RWT', ah4s_arithmetics_ONE)).
fof(7, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))),file('i/f/logroot/LOG__RWT', ah4s_arithmetics_ADDu_u_CLAUSESu_c2)).
fof(11, axiom,![X12]:![X1]:![X13]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,X1))))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X12)))))))))=>s(t_h4s_nums_num,h4s_logroots_log(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,X12)),file('i/f/logroot/LOG__RWT', ah4s_logroots_LOGu_u_UNIQUE)).
fof(12, axiom,![X5]:![X13]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X13))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X5)))))=>s(t_h4s_nums_num,h4s_logroots_log(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_logroots_log(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X13)))))))),file('i/f/logroot/LOG__RWT', ah4s_logroots_LOGu_u_DIV)).
fof(13, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X2),file('i/f/logroot/LOG__RWT', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(18, axiom,![X1]:![X2]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X1))),file('i/f/logroot/LOG__RWT', ah4s_arithmetics_LESSu_u_EQ)).
fof(19, axiom,![X1]:![X2]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))),file('i/f/logroot/LOG__RWT', ah4s_arithmetics_NOTu_u_LESS)).
fof(20, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/logroot/LOG__RWT', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(29, axiom,p(s(t_bool,t)),file('i/f/logroot/LOG__RWT', aHLu_TRUTH)).
fof(36, axiom,![X14]:(s(t_bool,X14)=s(t_bool,t)<=>p(s(t_bool,X14))),file('i/f/logroot/LOG__RWT', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(37, axiom,~(p(s(t_bool,f))),file('i/f/logroot/LOG__RWT', aHLu_FALSITY)).
fof(45, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/logroot/LOG__RWT', ah4s_arithmetics_EXP0u_c0)).
fof(46, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_nums_num,X1),file('i/f/logroot/LOG__RWT', ah4s_arithmetics_EXPu_u_1u_c1)).
# SZS output end CNFRefutation
