# 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,f)=>s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_pnext(s(t_fun(t_h4s_nums_num,t_bool),X1)))=s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_initpoint)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c36', ch4s_Pastu_u_Temporalu_u_Logics_SIMPLIFYu_c36)).
fof(3, axiom,![X7]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_initpoint),s(t_h4s_nums_num,X7))))<=>s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c36', ah4s_Pastu_u_Temporalu_u_Logics_InitPoint0)).
fof(4, axiom,![X8]:![X9]:![X10]:![X11]:(![X7]:s(X9,happ(s(t_fun(X8,X9),X10),s(X8,X7)))=s(X9,happ(s(t_fun(X8,X9),X11),s(X8,X7)))=>s(t_fun(X8,X9),X10)=s(t_fun(X8,X9),X11)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c36', aHLu_EXT)).
fof(6, axiom,![X12]:![X13]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_pnext(s(t_fun(t_h4s_nums_num,t_bool),X13))),s(t_h4s_nums_num,X12))))<=>(s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,h4s_nums_0)|p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X13),s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,X12)))))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c36', ah4s_Pastu_u_Temporalu_u_Logics_PNEXT0)).
fof(7, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c36', aHLu_FALSITY)).
fof(8, 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_c36', aHLu_BOOLu_CASES)).
fof(19, axiom,![X2]:(s(t_bool,X2)=s(t_bool,f)<=>~(p(s(t_bool,X2)))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c36', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(52, 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_c36', ah4s_primu_u_recs_PRE0u_c0)).
# SZS output end CNFRefutation
