# 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]:![X4]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_pbefore(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_fun(t_h4s_nums_num,t_bool),X3))),s(t_h4s_nums_num,X4))))<=>~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X4))))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c70', ch4s_Pastu_u_Temporalu_u_Logics_SIMPLIFYu_c70)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/Past_Temporal_Logic/SIMPLIFY_c70', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c70', aHLu_FALSITY)).
fof(46, axiom,![X2]:(s(t_bool,X2)=s(t_bool,f)<=>~(p(s(t_bool,X2)))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c70', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(63, axiom,![X3]:![X23]:![X4]:(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_pbefore(s(t_fun(t_h4s_nums_num,t_bool),X23),s(t_fun(t_h4s_nums_num,t_bool),X3))),s(t_h4s_nums_num,X4))))<=>(~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X3),s(t_h4s_nums_num,X4)))))&(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X23),s(t_h4s_nums_num,X4))))|p(s(t_bool,h4s_pastu_u_temporalu_u_logics_pnext(s(t_fun(t_h4s_nums_num,t_bool),h4s_pastu_u_temporalu_u_logics_pbefore(s(t_fun(t_h4s_nums_num,t_bool),X23),s(t_fun(t_h4s_nums_num,t_bool),X3))),s(t_h4s_nums_num,X4))))))),file('i/f/Past_Temporal_Logic/SIMPLIFY_c70', ah4s_Pastu_u_Temporalu_u_Logics_RECURSIONu_c15)).
fof(69, 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_c70', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
