TPTP Problem File: SWW894+1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWW894+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Software Verification
% Problem : cfApp__18__store2heap_MAPi__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : cfApp__18__store2heap_MAPi__dep [Kum18]
% Status : CounterSatisfiable
% Rating : 0.00 v8.2.0, 0.33 v8.1.0, 0.00 v7.5.0, 0.60 v7.4.0, 0.00 v7.3.0
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 17 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 6 ( 1 ~; 1 |; 0 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 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.ETA_AX',axiom,
! [V_27B_27,V_27A_27,V_27t_27,Vx] : s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27t_27),s__02(V_27A_27,Vx))) = s__02(V_27B_27,chapp__02(s__02(cfun__02(V_27A_27,V_27B_27),V_27t_27),s__02(V_27A_27,Vx))) ).
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.arithmetic.ADD_0',axiom,
! [V_27m_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,V_27m_27) ).
fof('thm.arithmetic.ADD_SYM',axiom,
! [V_27m_27,V_27n_27] : s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27m_27),s__02(c_27type_2enum_2enum_27__00,V_27n_27))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27m_27))) ).
fof('thm.cfStore.store2heap_def',axiom,
! [V_27l_27] : s__02(cfun__02(c_27type_2ecfHeapsBase_2eheap__part_27__00,cbool__00),c_27const_2ecfStore_2estore2heap_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),V_27l_27))) = s__02(cfun__02(c_27type_2ecfHeapsBase_2eheap__part_27__00,cbool__00),c_27const_2ecfStore_2estore2heap__aux_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),V_27l_27))) ).
fof('thm.cfApp.store2heap_aux_MAPi',axiom,
! [V__1] :
( ! [V_27n_27,V_27i_27,V_27v_27] : s__02(c_27type_2ecfHeapsBase_2eheap__part_27__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27type_2ecfHeapsBase_2eheap__part_27__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27type_2ecfHeapsBase_2eheap__part_27__00)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27type_2ecfHeapsBase_2eheap__part_27__00))),V__1),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,V_27i_27))),s__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27v_27))) = s__02(c_27type_2ecfHeapsBase_2eheap__part_27__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27type_2ecfHeapsBase_2eheap__part_27__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27type_2ecfHeapsBase_2eheap__part_27__00)),c_27const_2ecfHeapsBase_2eMem_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2enum_2enum_27__00,V_27i_27))))),s__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),V_27v_27)))
=> ! [V__0] :
( ! [V_27n_27,V_27i_27] : s__02(cfun__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27type_2ecfHeapsBase_2eheap__part_27__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27type_2ecfHeapsBase_2eheap__part_27__00)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27type_2ecfHeapsBase_2eheap__part_27__00))),V__0),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,V_27i_27))) = s__02(cfun__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27type_2ecfHeapsBase_2eheap__part_27__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27type_2ecfHeapsBase_2eheap__part_27__00)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27type_2ecfHeapsBase_2eheap__part_27__00))),V__1),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2enum_2enum_27__00,V_27i_27)))
=> ! [V_27n_27,V_27s_27] : s__02(cfun__02(c_27type_2ecfHeapsBase_2eheap__part_27__00,cbool__00),c_27const_2ecfStore_2estore2heap__aux_27__02(s__02(c_27type_2enum_2enum_27__00,V_27n_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),V_27s_27))) = s__02(cfun__02(c_27type_2ecfHeapsBase_2eheap__part_27__00,cbool__00),c_27const_2elist_2eLIST__TO__SET_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2ecfHeapsBase_2eheap__part_27__00),c_27const_2eindexedLists_2eMAPi_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27type_2ecfHeapsBase_2eheap__part_27__00)),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27type_2ecfHeapsBase_2eheap__part_27__00))),V__0),s__02(c_27type_2enum_2enum_27__00,V_27n_27))),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),V_27s_27))))) ) ) ).
fof(conjecture,conjecture,
! [V_27s_27] : s__02(cfun__02(c_27type_2ecfHeapsBase_2eheap__part_27__00,cbool__00),c_27const_2ecfStore_2estore2heap_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),V_27s_27))) = s__02(cfun__02(c_27type_2ecfHeapsBase_2eheap__part_27__00,cbool__00),c_27const_2elist_2eLIST__TO__SET_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2ecfHeapsBase_2eheap__part_27__00),c_27const_2eindexedLists_2eMAPi_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00),c_27type_2ecfHeapsBase_2eheap__part_27__00)),c_27const_2ecfHeapsBase_2eMem_27__00),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),V_27s_27))))) ).
%------------------------------------------------------------------------------