TPTP Problem File: SWW882+1.p
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%------------------------------------------------------------------------------
% File : SWW882+1 : TPTP v8.2.0. Released v7.3.0.
% Domain : Software Verification
% Problem : patProps__2__no_closures_Boolv__dep
% Version : Especial.
% English :
% Refs : [Kum18] Kumar (2018), Email to Geoff Sutcliffe
% Source : [Kum18]
% Names : patProps__2__no_closures_Boolv__dep [Kum18]
% Status : CounterSatisfiable
% Rating : 0.00 v7.5.0, 0.60 v7.4.0, 0.00 v7.3.0
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 22 ( 15 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 12 ( 1 ~; 1 |; 7 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 1-2 aty)
% Number of functors : 29 ( 29 usr; 12 con; 0-3 aty)
% Number of variables : 25 ( 25 !; 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.list.EVERY_DEF',axiom,
! [V_27A_27] :
( ! [V_27P_27] : s__02(cbool__00,c_27const_2elist_2eEVERY_27__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eNIL_27__00))) = s__02(cbool__00,cT__00)
& ! [V_27P_27,V_27h_27,V_27t_27] :
( p__01(s__02(cbool__00,c_27const_2elist_2eEVERY_27__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),c_27const_2elist_2eCONS_27__02(s__02(V_27A_27,V_27h_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27))))))
<=> ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27),s__02(V_27A_27,V_27h_27))))
& p__01(s__02(cbool__00,c_27const_2elist_2eEVERY_27__02(s__02(cfun__02(V_27A_27,cbool__00),V_27P_27),s__02(c_27type_2elist_2elist_27__01(V_27A_27),V_27t_27)))) ) ) ) ).
fof('thm.backend_common.false_tag_def',axiom,
s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2efalse__tag_27__00) = s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00) ).
fof('thm.backend_common.true_tag_def',axiom,
s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etrue__tag_27__00) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eNUMERAL_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eBIT1_27__01(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2eZERO_27__00))))) ).
fof('thm.patSem.Boolv_def',axiom,
! [V_27b_27] : s__02(c_27type_2epatSem_2ev_27__00,c_27const_2epatSem_2eBoolv_27__01(s__02(cbool__00,V_27b_27))) = s__02(c_27type_2epatSem_2ev_27__00,c_27const_2epatSem_2eConv_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2ebool_2eCOND_27__03(s__02(cbool__00,V_27b_27),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2etrue__tag_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2ebackend__common_2efalse__tag_27__00))),s__02(c_27type_2elist_2elist_27__01(c_27type_2epatSem_2ev_27__00),c_27const_2elist_2eNIL_27__00))) ).
fof('thm.patProps.no_closures_def',axiom,
! [V__0] :
( ! [V_27a_27] : s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2epatSem_2ev_27__00,cbool__00),V__0),s__02(c_27type_2epatSem_2ev_27__00,V_27a_27))) = s__02(cbool__00,c_27const_2epatProps_2eno__closures_27__01(s__02(c_27type_2epatSem_2ev_27__00,V_27a_27)))
=> ( ! [V_27v0_27] : s__02(cbool__00,c_27const_2epatProps_2eno__closures_27__01(s__02(c_27type_2epatSem_2ev_27__00,c_27const_2epatSem_2eLitv_27__01(s__02(c_27type_2east_2elit_27__00,V_27v0_27))))) = s__02(cbool__00,cT__00)
& ! [V_27vs_27,V_27v1_27] : s__02(cbool__00,c_27const_2epatProps_2eno__closures_27__01(s__02(c_27type_2epatSem_2ev_27__00,c_27const_2epatSem_2eConv_27__02(s__02(c_27type_2enum_2enum_27__00,V_27v1_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epatSem_2ev_27__00),V_27vs_27))))) = s__02(cbool__00,c_27const_2elist_2eEVERY_27__02(s__02(cfun__02(c_27type_2epatSem_2ev_27__00,cbool__00),V__0),s__02(c_27type_2elist_2elist_27__01(c_27type_2epatSem_2ev_27__00),V_27vs_27)))
& ! [V_27v3_27,V_27v2_27] : s__02(cbool__00,c_27const_2epatProps_2eno__closures_27__01(s__02(c_27type_2epatSem_2ev_27__00,c_27const_2epatSem_2eClosure_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2epatSem_2ev_27__00),V_27v2_27),s__02(c_27type_2epatLang_2eexp_27__00,V_27v3_27))))) = s__02(cbool__00,cF__00)
& ! [V_27v6_27,V_27v5_27,V_27v4_27] : s__02(cbool__00,c_27const_2epatProps_2eno__closures_27__01(s__02(c_27type_2epatSem_2ev_27__00,c_27const_2epatSem_2eRecclosure_27__03(s__02(c_27type_2elist_2elist_27__01(c_27type_2epatSem_2ev_27__00),V_27v4_27),s__02(c_27type_2elist_2elist_27__01(c_27type_2epatLang_2eexp_27__00),V_27v5_27),s__02(c_27type_2enum_2enum_27__00,V_27v6_27))))) = s__02(cbool__00,cF__00)
& ! [V_27v7_27] : s__02(cbool__00,c_27const_2epatProps_2eno__closures_27__01(s__02(c_27type_2epatSem_2ev_27__00,c_27const_2epatSem_2eLoc_27__01(s__02(c_27type_2enum_2enum_27__00,V_27v7_27))))) = s__02(cbool__00,cT__00)
& ! [V_27vs_27] : s__02(cbool__00,c_27const_2epatProps_2eno__closures_27__01(s__02(c_27type_2epatSem_2ev_27__00,c_27const_2epatSem_2eVectorv_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2epatSem_2ev_27__00),V_27vs_27))))) = s__02(cbool__00,c_27const_2elist_2eEVERY_27__02(s__02(cfun__02(c_27type_2epatSem_2ev_27__00,cbool__00),V__0),s__02(c_27type_2elist_2elist_27__01(c_27type_2epatSem_2ev_27__00),V_27vs_27))) ) ) ).
fof(conjecture,conjecture,
! [V_27b_27] : p__01(s__02(cbool__00,c_27const_2epatProps_2eno__closures_27__01(s__02(c_27type_2epatSem_2ev_27__00,c_27const_2epatSem_2eBoolv_27__01(s__02(cbool__00,V_27b_27)))))) ).
%------------------------------------------------------------------------------