TPTP Problem File: SWW942+1.p
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%------------------------------------------------------------------------------
% File : SWW942+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Software Verification
% Problem : TextIOProof__31__add_stdo_MAP_FST_files__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : TextIOProof__31__add_stdo_MAP_FST_files__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 : 10 ( 6 unt; 0 def)
% Number of atoms : 20 ( 13 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 13 ( 3 ~; 1 |; 3 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 18 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 25 ( 25 usr; 10 con; 0-5 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% 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.EQ_CLAUSES',axiom,
! [V_27t_27] :
( ( s__02(cbool__00,cT__00) = s__02(cbool__00,V_27t_27)
<=> p__01(s__02(cbool__00,V_27t_27)) )
& ( s__02(cbool__00,V_27t_27) = s__02(cbool__00,cT__00)
<=> p__01(s__02(cbool__00,V_27t_27)) )
& ( s__02(cbool__00,cF__00) = s__02(cbool__00,V_27t_27)
<=> ~ p__01(s__02(cbool__00,V_27t_27)) )
& ( s__02(cbool__00,V_27t_27) = s__02(cbool__00,cF__00)
<=> ~ p__01(s__02(cbool__00,V_27t_27)) ) ) ).
fof('thm.fsFFIProps.fsupdate_MAP_FST_files',axiom,
! [V_27pos_27,V_27k_27,V_27fs_27,V_27fd_27,V_27c_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2efsFFI_2einode_27__00),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2efsFFI_2einode_27__00,c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2efsFFI_2einode_27__00),c_27const_2epair_2eFST_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2efsFFI_2einode_27__00,c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),c_27const_2efsFFI_2eIO__fs__files_27__01(s__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27const_2efsFFI_2efsupdate_27__05(s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27),s__02(c_27type_2enum_2enum_27__00,V_27fd_27),s__02(c_27type_2enum_2enum_27__00,V_27k_27),s__02(c_27type_2enum_2enum_27__00,V_27pos_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27c_27))))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2efsFFI_2einode_27__00),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2efsFFI_2einode_27__00,c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2efsFFI_2einode_27__00),c_27const_2epair_2eFST_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2efsFFI_2einode_27__00,c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),c_27const_2efsFFI_2eIO__fs__files_27__01(s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27))))) ).
fof('thm.TextIOProof.up_stdo_def',axiom,
! [V_27fd_27,V_27fs_27,V_27out_27] : s__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27const_2eTextIOProof_2eup__stdo_27__03(s__02(c_27type_2enum_2enum_27__00,V_27fd_27),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27),s__02(c_27type_2emlstring_2emlstring_27__00,V_27out_27))) = s__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27const_2efsFFI_2efsupdate_27__05(s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27),s__02(c_27type_2enum_2enum_27__00,V_27fd_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2emlstring_2estrlen_27__01(s__02(c_27type_2emlstring_2emlstring_27__00,V_27out_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),c_27const_2emlstring_2eexplode_27__01(s__02(c_27type_2emlstring_2emlstring_27__00,V_27out_27))))) ).
fof('thm.TextIOProof.add_stdo_def',axiom,
! [V__0] :
( ! [V_27fd_27,V_27nm_27,V_27fs_27,V_27init_27] : s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2emlstring_2emlstring_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,cfun__02(c_27type_2emlstring_2emlstring_27__00,cbool__00)),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,cfun__02(c_27type_2emlstring_2emlstring_27__00,cbool__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,cfun__02(c_27type_2emlstring_2emlstring_27__00,cbool__00)))),V__0),s__02(c_27type_2enum_2enum_27__00,V_27fd_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27nm_27))),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27))),s__02(c_27type_2emlstring_2emlstring_27__00,V_27init_27))) = s__02(cbool__00,c_27const_2eTextIOProof_2estdo_27__04(s__02(c_27type_2enum_2enum_27__00,V_27fd_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27nm_27),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27),s__02(c_27type_2emlstring_2emlstring_27__00,V_27init_27)))
=> ! [V_27fd_27,V_27nm_27,V_27fs_27,V_27out_27] : s__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27const_2eTextIOProof_2eadd__stdo_27__04(s__02(c_27type_2enum_2enum_27__00,V_27fd_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27nm_27),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27),s__02(c_27type_2emlstring_2emlstring_27__00,V_27out_27))) = s__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27const_2eTextIOProof_2eup__stdo_27__03(s__02(c_27type_2enum_2enum_27__00,V_27fd_27),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27),s__02(c_27type_2emlstring_2emlstring_27__00,c_27const_2emlstring_2estrcat_27__02(s__02(c_27type_2emlstring_2emlstring_27__00,c_27const_2emin_2e_40_27__01(s__02(cfun__02(c_27type_2emlstring_2emlstring_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,cfun__02(c_27type_2emlstring_2emlstring_27__00,cbool__00)),chapp__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,cfun__02(c_27type_2emlstring_2emlstring_27__00,cbool__00))),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),cfun__02(c_27type_2efsFFI_2eIO__fs_27__00,cfun__02(c_27type_2emlstring_2emlstring_27__00,cbool__00)))),V__0),s__02(c_27type_2enum_2enum_27__00,V_27fd_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27nm_27))),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27))))),s__02(c_27type_2emlstring_2emlstring_27__00,V_27out_27))))) ) ).
fof(conjecture,conjecture,
! [V_27fd_27,V_27nm_27,V_27fs_27,V_27out_27] : s__02(c_27type_2elist_2elist_27__01(c_27type_2efsFFI_2einode_27__00),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2efsFFI_2einode_27__00,c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2efsFFI_2einode_27__00),c_27const_2epair_2eFST_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2efsFFI_2einode_27__00,c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),c_27const_2efsFFI_2eIO__fs__files_27__01(s__02(c_27type_2efsFFI_2eIO__fs_27__00,c_27const_2eTextIOProof_2eadd__stdo_27__04(s__02(c_27type_2enum_2enum_27__00,V_27fd_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00),V_27nm_27),s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27),s__02(c_27type_2emlstring_2emlstring_27__00,V_27out_27))))))) = s__02(c_27type_2elist_2elist_27__01(c_27type_2efsFFI_2einode_27__00),c_27const_2elist_2eMAP_27__02(s__02(cfun__02(c_27type_2epair_2eprod_27__02(c_27type_2efsFFI_2einode_27__00,c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00)),c_27type_2efsFFI_2einode_27__00),c_27const_2epair_2eFST_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2epair_2eprod_27__02(c_27type_2efsFFI_2einode_27__00,c_27type_2elist_2elist_27__01(c_27type_2estring_2echar_27__00))),c_27const_2efsFFI_2eIO__fs__files_27__01(s__02(c_27type_2efsFFI_2eIO__fs_27__00,V_27fs_27))))) ).
%------------------------------------------------------------------------------