# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/DeepSyntax/neginf__disj1__implies__exoriginal', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f0))),file('i/f/DeepSyntax/neginf__disj1__implies__exoriginal', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f0)),file('i/f/DeepSyntax/neginf__disj1__implies__exoriginal', aHLu_BOOLu_CASES)).
fof(6, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/DeepSyntax/neginf__disj1__implies__exoriginal', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(12, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/DeepSyntax/neginf__disj1__implies__exoriginal', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(29, axiom,![X10]:![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X10)))=s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X10))))),file('i/f/DeepSyntax/neginf__disj1__implies__exoriginal', ah4s_integers_intu_u_sub0)).
fof(30, axiom,![X10]:![X6]:s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X10)))))=s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,X6))),s(t_h4s_integers_int,X10))),file('i/f/DeepSyntax/neginf__disj1__implies__exoriginal', ah4s_integers_INTu_u_NEGu_u_LMUL)).
fof(31, axiom,![X20]:![X10]:![X6]:((p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X10))))&p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,X20)))))=>p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X20))))),file('i/f/DeepSyntax/neginf__disj1__implies__exoriginal', ah4s_integers_INTu_u_LTEu_u_TRANS)).
fof(32, axiom,![X10]:![X6]:![X21]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,X21))))=>?[X22]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,X22))))&p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_sub(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X22),s(t_h4s_integers_int,X21))))),s(t_h4s_integers_int,X6)))))),file('i/f/DeepSyntax/neginf__disj1__implies__exoriginal', ah4s_intu_u_ariths_canu_u_getu_u_small)).
fof(33, axiom,![X4]:?[X10]:![X6]:(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,X10))))=>s(t_bool,h4s_deepsyntaxs_evalu_u_form(s(t_h4s_DeepSyntaxs_deepu_u_form,X4),s(t_h4s_integers_int,X6)))=s(t_bool,h4s_deepsyntaxs_evalu_u_form(s(t_h4s_DeepSyntaxs_deepu_u_form,h4s_deepsyntaxs_neginf(s(t_h4s_DeepSyntaxs_deepu_u_form,X4))),s(t_h4s_integers_int,X6)))),file('i/f/DeepSyntax/neginf__disj1__implies__exoriginal', ah4s_DeepSyntaxs_neginfu_u_ok)).
fof(34, axiom,![X10]:![X6]:![X4]:![X21]:(p(s(t_bool,h4s_deepsyntaxs_alldivide(s(t_h4s_DeepSyntaxs_deepu_u_form,X4),s(t_h4s_integers_int,X21))))=>s(t_bool,h4s_deepsyntaxs_evalu_u_form(s(t_h4s_DeepSyntaxs_deepu_u_form,h4s_deepsyntaxs_neginf(s(t_h4s_DeepSyntaxs_deepu_u_form,X4))),s(t_h4s_integers_int,X6)))=s(t_bool,h4s_deepsyntaxs_evalu_u_form(s(t_h4s_DeepSyntaxs_deepu_u_form,h4s_deepsyntaxs_neginf(s(t_h4s_DeepSyntaxs_deepu_u_form,X4))),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X6),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X10),s(t_h4s_integers_int,X21)))))))),file('i/f/DeepSyntax/neginf__disj1__implies__exoriginal', ah4s_DeepSyntaxs_addu_u_du_u_neginf)).
fof(35, conjecture,![X23]:![X4]:![X21]:(p(s(t_bool,h4s_deepsyntaxs_alldivide(s(t_h4s_DeepSyntaxs_deepu_u_form,X4),s(t_h4s_integers_int,X21))))=>((p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,X23))))&(p(s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,X23),s(t_h4s_integers_int,X21))))&p(s(t_bool,h4s_deepsyntaxs_evalu_u_form(s(t_h4s_DeepSyntaxs_deepu_u_form,h4s_deepsyntaxs_neginf(s(t_h4s_DeepSyntaxs_deepu_u_form,X4))),s(t_h4s_integers_int,X23))))))=>?[X6]:p(s(t_bool,h4s_deepsyntaxs_evalu_u_form(s(t_h4s_DeepSyntaxs_deepu_u_form,X4),s(t_h4s_integers_int,X6)))))),file('i/f/DeepSyntax/neginf__disj1__implies__exoriginal', ch4s_DeepSyntaxs_neginfu_u_disj1u_u_impliesu_u_exoriginal)).
# SZS output end CNFRefutation
