# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X2)))=s(t_bool,t0)=>![X3]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_psnext(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_nums_num,X3))))<=>~(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_initpoint(s(t_h4s_nums_num,X3))))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ch4s_Pastu_u_Temporalu_u_Logics_SIMPLIFYu_c39)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', aHLu_FALSITY)).
fof(5, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(30, axiom,![X2]:(s(t_bool,t0)=s(t_bool,X2)<=>p(s(t_bool,X2))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(57, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)|s(t_bool,X2)=s(t_bool,f)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', aHLu_BOOLu_CASES)).
fof(62, axiom,![X3]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_initpoint(s(t_h4s_nums_num,X3))))<=>s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_Pastu_u_Temporalu_u_Logics_InitPoint0)).
fof(63, axiom,![X21]:![X22]:(p(s(t_bool,h4s_pastu_u_temporalu_u_logics_psnext(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_h4s_nums_num,X21))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X21))))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X22),s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,X21)))))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_Pastu_u_Temporalu_u_Logics_PSNEXT0)).
fof(65, axiom,![X14]:![X15]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,X14))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_arithmetics_LESSu_u_EQ)).
fof(66, axiom,![X14]:![X15]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,X14)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X15))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_arithmetics_NOTu_u_LESS)).
fof(67, axiom,![X14]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X14)))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(70, axiom,![X14]:![X15]:(~(s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,X14))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,X14))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14))),s(t_h4s_nums_num,X15)))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(72, 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/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_primu_u_recs_PRE0u_c0)).
fof(78, axiom,![X14]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X14),s(t_h4s_nums_num,X14))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c39', ah4s_primu_u_recs_LESSu_u_REFL)).
# SZS output end CNFRefutation
