TPTP Problem File: SWW891+1.p
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%------------------------------------------------------------------------------
% File : SWW891+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Software Verification
% Problem : fsFFIProps__69__openFileFS_fupd_numchars__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : fsFFIProps__69__openFileFS_fupd_numchars__dep [Kum18]
% Status : CounterSatisfiable
% Rating : 0.00 v8.1.0, 0.25 v7.5.0, 0.60 v7.4.0, 0.33 v7.3.0
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 24 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 12 ( 1 ~; 2 |; 1 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-3 aty)
% Number of variables : 60 ( 57 !; 3 ?)
% SPC : FOF_CSA_RFO_SEQ
% Comments :
%------------------------------------------------------------------------------
fof('HL_TRUTH',axiom,
p__01(s__02(cbool__00,cT__00)) ).
fof('HL_FALSITY',axiom,
~ p__01(s__02(cbool__00,cF__00)) ).
fof('HL_BOOL_CASES',axiom,
! [Vt] :
( s__02(cbool__00,Vt) = s__02(cbool__00,cT__00)
| s__02(cbool__00,Vt) = s__02(cbool__00,cF__00) ) ).
fof('HL_EXT',axiom,
! [V_3f2384,V_3f2380,Vf,Vg] :
( ! [Vx] : s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vf),s__02(V_3f2384,Vx))) = s__02(V_3f2380,chapp__02(s__02(cfun__02(V_3f2384,V_3f2380),Vg),s__02(V_3f2384,Vx)))
=> s__02(cfun__02(V_3f2384,V_3f2380),Vf) = s__02(cfun__02(V_3f2384,V_3f2380),Vg) ) ).
fof('thm.bool.TRUTH',axiom,
p__01(s__02(cbool__00,cT__00)) ).
fof('thm.bool.REFL_CLAUSE',axiom,
! [V_27A_27,V_27x_27] :
( s__02(V_27A_27,V_27x_27) = s__02(V_27A_27,V_27x_27)
<=> p__01(s__02(cbool__00,cT__00)) ) ).
fof('thm.pair.ABS_PAIR_THM',axiom,
! [V_27A_27,V_27B_27,V_27x_27] :
? [V_27q_27,V_27r_27] : s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),V_27x_27) = s__02(c_27type_2epair_2eprod_27__02(V_27A_27,V_27B_27),c_27const_2epair_2e_2c_27__02(s__02(V_27A_27,V_27q_27),s__02(V_27B_27,V_27r_27))) ).
fof('thm.pair.pair_case_thm',axiom,
! [V_27A_27,V_27B_27,V_27C_27,V_27y_27,V_27x_27,V_27f_27] : s__02(V_27A_27,c_27const_2epair_2epair__CASE_27__02(s__02(c_27type_2epair_2eprod_27__02(V_27B_27,V_27C_27),c_27const_2epair_2e_2c_27__02(s__02(V_27B_27,V_27x_27),s__02(V_27C_27,V_27y_27))),s__02(cfun__02(V_27B_27,cfun__02(V_27C_27,V_27A_27)),V_27f_27))) = s__02(V_27A_27,chapp__02(s__02(cfun__02(V_27C_27,V_27A_27),chapp__02(s__02(cfun__02(V_27B_27,cfun__02(V_27C_27,V_27A_27)),V_27f_27),s__02(V_27B_27,V_27x_27))),s__02(V_27C_27,V_27y_27))) ).
fof('thm.option.option_nchotomy',axiom,
! [V_27A_27,V_27opt_27] :
( s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27opt_27) = s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eNONE_27__00)
| ? [V_27x_27] : s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),V_27opt_27) = s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27x_27))) ) ).
fof('thm.option.option_case_def',axiom,
! [V_27B_27,V_27A_27] :
( ! [V_27v_27,V_27f_27] : s__02(V_27B_27,c_27const_2eoption_2eoption__CASE_27__03(s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eNONE_27__00),s__02(V_27B_27,V_27v_27),s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27))) = s__02(V_27B_27,V_27v_27)
& ! [V_27x_27,V_27v_27,V_27f_27] : s__02(V_27B_27,c_27const_2eoption_2eoption__CASE_27__03(s__02(c_27type_2eoption_2eoption_27__01(V_27A_27),c_27const_2eoption_2eSOME_27__01(s__02(V_27A_27,V_27x_27))),s__02(V_27B_27,V_27v_27),s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27))) = s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27f_27),s__02(V_27A_27,V_27x_27))) ) ).
fof('thm.fsFFI.openFileFS_def',axiom,
! [V__2] :
( ! [V_27fs_7c39_7c_27] : s__02(c_27type_2efsFFI_2eIO__fs_27__00,chapp__02(s__02(cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2efsFFI_2eIO__fs_27__00),V__2),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_7c39_7c_27))) = s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_7c39_7c_27)
=> ! [V__1] :
( ! [V_27v1_27] : s__02(cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2efsFFI_2eIO__fs_27__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2efsFFI_2eIO__fs_27__00)),V__1),s__02(c_27type_2enum_2enum_27__00,V_27v1_27))) = s__02(cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2efsFFI_2eIO__fs_27__00),V__2)
=> ! [V__0] :
( ! [V_27v_27] : s__02(c_27type_2efsFFI_2eIO__fs_27__00,chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00),c_27type_2efsFFI_2eIO__fs_27__00),V__0),s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00),V_27v_27))) = s__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27const_2epair_2epair__CASE_27__02(s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00),V_27v_27),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2efsFFI_2eIO__fs_27__00)),V__1)))
=> ! [V_27fnm_27,V_27fs_27,V_27pos_27] : s__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27const_2efsFFI_2eopenFileFS_27__03(s__02(c_27type_2emlstring_2emlstring_27__00,V_27fnm_27),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27),s__02(c_27type_2enum_2enum_27__00,V_27pos_27))) = s__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27const_2eoption_2eoption__CASE_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00)),c_27const_2efsFFI_2eopenFile_27__03(s__02(c_27type_2emlstring_2emlstring_27__00,V_27fnm_27),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27),s__02(c_27type_2enum_2enum_27__00,V_27pos_27))),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27),s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00),c_27type_2efsFFI_2eIO__fs_27__00),V__0))) ) ) ) ).
fof('thm.fsFFIProps.openFile_fupd_numchars',axiom,
! [V_27A_27,V_27B_27,V__2] :
( ! [V_27fd_27,V_27ll_27,V_27fs_7c39_7c_27] : s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00)),chapp__02(s__02(cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00))),chapp__02(s__02(cfun__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00)))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00))))),V__2),s__02(c_27type_2enum_2enum_27__00,V_27fd_27))),s__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),V_27ll_27))),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_7c39_7c_27))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2enum_2enum_27__00,V_27fd_27),s__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27const_2efsFFI_2eIO__fs__numchars__fupd_27__02(s__02(cfun__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),V_27ll_27))),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_7c39_7c_27)))))))
=> ! [V__1] :
( ! [V_27ll_27,V_27fd_27] : s__02(cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00)))),chapp__02(s__02(cfun__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00))))),V__1),s__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),V_27ll_27))),s__02(c_27type_2enum_2enum_27__00,V_27fd_27))) = s__02(cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00))),chapp__02(s__02(cfun__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00)))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00))))),V__2),s__02(c_27type_2enum_2enum_27__00,V_27fd_27))),s__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),V_27ll_27)))
=> ! [V__0] :
( ! [V_27ll_27,V_27v_27] : s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00)),chapp__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00))),chapp__02(s__02(cfun__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00)))),V__0),s__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),V_27ll_27))),s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00),V_27v_27))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00)),c_27const_2epair_2epair__CASE_27__02(s__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00),V_27v_27),s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00)))),chapp__02(s__02(cfun__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00))))),V__1),s__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),V_27ll_27)))))
=> ! [V_27s_27,V_27fs_27,V_27k_27,V_27ll_27,V_27fd_7c39_7c_27,V_27fs_7c39_7c_7c39_7c_27] : s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00)),c_27const_2efsFFI_2eopenFile_27__03(s__02(c_27type_2emlstring_2emlstring_27__00,V_27s_27),s__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27const_2efsFFI_2eIO__fs__numchars__fupd_27__02(s__02(cfun__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),V_27ll_27))),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27))),s__02(c_27type_2enum_2enum_27__00,V_27k_27))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00)),c_27const_2eoption_2eoption__CASE_27__03(s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00)),c_27const_2efsFFI_2eopenFile_27__03(s__02(c_27type_2emlstring_2emlstring_27__00,V_27s_27),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27),s__02(c_27type_2enum_2enum_27__00,V_27k_27))),s__02(c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00)),c_27const_2eoption_2eNONE_27__00),s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00))),chapp__02(s__02(cfun__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00),c_27type_2eoption_2eoption_27__01(c_27type_2epair_2eprod_27__02(c_27type_2enum_2enum_27__00,c_27type_2efsFFI_2eIO__fs_27__00)))),V__0),s__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),V_27ll_27))))) ) ) ) ).
fof(conjecture,conjecture,
! [V_27s_27,V_27fs_27,V_27k_27,V_27ll_27] : s__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27const_2efsFFI_2eopenFileFS_27__03(s__02(c_27type_2emlstring_2emlstring_27__00,V_27s_27),s__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27const_2efsFFI_2eIO__fs__numchars__fupd_27__02(s__02(cfun__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),V_27ll_27))),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27))),s__02(c_27type_2enum_2enum_27__00,V_27k_27))) = s__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27const_2efsFFI_2eIO__fs__numchars__fupd_27__02(s__02(cfun__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00)),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2ellist_2ellist_27__01(c_27type_2enum_2enum_27__00),V_27ll_27))),s__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27const_2efsFFI_2eopenFileFS_27__03(s__02(c_27type_2emlstring_2emlstring_27__00,V_27s_27),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27),s__02(c_27type_2enum_2enum_27__00,V_27k_27))))) ).
%------------------------------------------------------------------------------